SSC MTS 2025 Official Paper (Held On: 06 Feb, 2026 Shift 3) (Previous Year Paper)

Given:

Total Production of Wheat = 100%

Formula Used:

Ratio = Production of Factory P : (Production of Factory Q + Production of Factory S)

Calculation:

According to the pie chart,

⇒ Production of wheat by factory P = 15%

⇒ Production of wheat by factory Q = 25%

⇒ Production of wheat by factory S = 25%

⇒ Total production of wheat by Q and S = 25% + 25% = 50%

⇒ Required Ratio = 15% : 50%

⇒ Ratio = 15 : 50

⇒ Ratio = (15 ÷ 5) : (50 ÷ 5)

⇒ Ratio = 3 : 10

∴ The correct answer is 3 : 10.

Given:

Number of soldiers in B1 = 2340

Soldiers in B6 = (Soldiers in B2 + B4) + 30% of (Soldiers in B2 + B4)

Formula Used:

Value of required part = (Known Value ÷ Known Percentage) × Required Percentage

Increased Value = Original Value × (100 + Increase %) ÷ 100

Calculation:

According to the pie chart,

⇒ Percentage of soldiers in B2 and B4 = 12% + 18% = 30%

Since 20% of the total soldiers (B1) = 2340,

⇒ Total soldiers in (B2 + B4) = (2340 ÷ 20) × 30

⇒ Total soldiers in (B2 + B4) = 117 × 30 = 3510

Now, calculate the number of soldiers in B6 (which is 30% more than 3510):

⇒ Soldiers in B6 = 3510 × (100 + 30) ÷ 100

⇒ Soldiers in B6 = 3510 × 1.3

⇒ Soldiers in B6 = 4563

∴ The correct answer is 4563.

Given:

Formula Used:

Difference = Maximum Value − Minimum Value

Calculation:

From the given data in the bar graph,

⇒ The maximum number of buses in a city = 110 (City 5)

⇒ The minimum number of buses in a city = 70 (City 4)

⇒ Required Difference = Maximum buses − Minimum buses

⇒ Required Difference = 110 − 70

⇒ Required Difference = 40

∴ The correct answer is 40.

Given:

Formula Used:

Total number of males and females = Number of Males + Number of Females

Calculation:

According to the graph, we calculate the total count for each department:

⇒ Total in D1 = 100 + 120 = 220

⇒ Total in D2 = 200 + 180 = 380

⇒ Total in D3 = 140 + 160 = 300

⇒ Total in D4 = 80 + 120 = 200

⇒ Total in D5 = 120 + 140 = 260

Comparing the totals, we find:

⇒ 380 (D2) > 300 (D3) > 260 (D5) > 220 (D1) > 200 (D4)

⇒ The maximum total value is 380.

∴ The correct answer is D2.

Shortcut Trick

Total Work = LCM(20, 30) = 60 units.

Efficiency: A = 3 units/day, B = 2 units/day.

Work done in 2-day cycle (A + B) = 3 + 2 = 5 units.

Total 2-day cycles required = 60 ÷ 5 = 12 cycles.

Total time taken = 12 × 2 = 24 days.

∴ The correct answer is 24 days.

Alternate Method

Given: Time taken by A = 20 days, Time taken by B = 30 days.

Formula: Total Work = Efficiency × Time

⇒ Total Work = LCM(20, 30) = 60 units.

⇒ Efficiency of A = 60 ÷ 20 = 3 units/day.

⇒ Efficiency of B = 60 ÷ 30 = 2 units/day.

⇒ Work in 1^st day (A starts) = 3 units.

⇒ Work in 2^nd day (B works) = 2 units.

⇒ Work in one cycle (2 days) = 3 + 2 = 5 units.

⇒ Number of cycles to complete 60 units = 60 ÷ 5 = 12 cycles.

⇒ Total days = 12 × 2 = 24 days.

∴ The correct answer is 24 days.

Additional Information

Work-Efficiency Relation

Efficiency is inversely proportional to time taken. If time ratio is x : y, efficiency ratio is y : x.

Alternate Day Remainder Rule

If work is not perfectly divisible by cycle work, calculate remaining work and time = Remainder ÷ Efficiency of the next person.

Work and Wages

Wages are distributed based on the actual work done by each individual, which is (Efficiency × Days Worked).

Shortcut Trick

Total volume = 100 L. Soup removed = 20 L. Remaining volume = 80 L.

In remaining 80 L, Tomato : Water = 3 : 2.

Water = (2/5) × 80 = 32 L.

New total volume = 100 L (after adding 20 L puree).

New Tomato = 100 − 32 = 68 L.

New Ratio = 68 : 32 = 17 : 8.

∴ The correct answer is 17:8.

Alternate Method

Given: Total Soup = 100 L | Initial Ratio (T:W) = 3:2 | Removal = 20 L | Puree Added = 20 L.

⇒ Initial Tomato = (3/5) × 100 = 60 L

⇒ Initial Water = (2/5) × 100 = 40 L

⇒ Tomato in 20 L removed = (3/5) × 20 = 12 L

⇒ Water in 20 L removed = (2/5) × 20 = 8 L

⇒ New Tomato = (60 − 12) + 20 = 68 L

⇒ New Water = (40 − 8) = 32 L

⇒ Final Ratio = 68 : 32 = 17 : 8

∴ The correct answer is 17:8.

Additional Information

Mixture Removal Property

When a portion of a mixture is removed, the concentration and the ratio of components in the remaining portion remains identical to the original mixture.

Replacement Formula

For a component being diluted: Final Quantity = Initial Quantity × (1 − Removed/Total)ⁿ, where n is the number of operations.

Alligation Cross Method

Used to find the ratio in which two mixtures are mixed to get a desired mean concentration: (Higher value − Mean) / (Mean − Lower value).

Shortcut Trick

Discount = 20% = 1/5

Ratio MP : SP = 5 : (5 − 1) = 5 : 4

Given 4 units = ₹840

1 unit = ₹840 ÷ 4 = ₹210

MP = 5 units = 5 × ₹210 = ₹1050

∴ The correct answer is ₹1050.

Alternate Method

Given:

Selling Price (SP) = ₹840

Discount percentage = 20%

Formula Used:

Marked Price (MP) = SP × [100 ÷ (100 − Discount%)]

⇒ Let Marked Price be MP.

⇒ SP = MP × (100 − 20)%

⇒ 840 = MP × 80%

⇒ 840 = MP × (80 ÷ 100)

⇒ 840 = MP × 0.8

⇒ MP = 840 ÷ 0.8

⇒ MP = 1050

∴ The correct answer is ₹1050.

Additional Information

Discount and Marked Price

Discount is the reduction offered on the Marked Price (MP) of an article. Discount = MP − SP.

Profit and Loss in terms of MP

Relation between CP and MP: MP ÷ CP = (100 + Profit%) ÷ (100 − Discount%).

Successive Discounts

Single equivalent discount for two successive discounts x% and y% = (x + y − xy/100)%.

Shortcut Trick

Profit ratio (X : Y : Z) = (12,000 × 12) : (15,000 × 8) : (18,000 × 10)

Ratio = 144,000 : 120,000 : 180,000 = 144 : 120 : 180 = 12 : 10 : 15

Total units = 12 + 10 + 15 = 37 units

37 units = ₹22,000 ⇒ 1 unit = 22,000 ÷ 37

Y's share = 10 units = (22,000 ÷ 37) × 10 ≈ ₹5,945.95

∴ The correct answer is ₹5,945.95.

Alternate Method

Given:

Investment of X = ₹12,000, Time = 12 months

Investment of Y = ₹15,000, Time = 8 months

Investment of Z = ₹18,000, Time = 10 months

Total Profit = ₹22,000

Formula Used:

Profit Ratio = (Capital_X × Time_X) : (Capital_Y × Time_Y) : (Capital_Z × Time_Z)

Calculations:

⇒ Profit share of X : Y : Z = (12,000 × 12) : (15,000 × 8) : (18,000 × 10)

⇒ X : Y : Z = 144,000 : 120,000 : 180,000

⇒ Simplifying the ratio (divide by 12,000): 12 : 10 : 15

⇒ Sum of ratio parts = 12 + 10 + 15 = 37

⇒ Share of Y = (Y's ratio ÷ Total ratio) × Total Profit

⇒ Share of Y = (10 ÷ 37) × 22,000

⇒ Share of Y = 220,000 ÷ 37

⇒ Share of Y = ₹5,945.9459...

∴ The correct answer is ₹5,945.95.

Additional Information

Partnership Profit Division

In a partnership, profit is always distributed in the ratio of the product of individual capitals and their respective time periods (P₁ : P₂ = C₁T₁ : C₂T₂).

Working vs. Sleeping Partner

A working partner manages the business and may receive a fixed salary or commission before the remaining profit is divided according to capital ratios.

Simple vs. Compound Partnership

In simple partnership, capitals are invested for the same time. In compound partnership, capitals are invested for different time durations.

Shortcut Trick

Initial ratio of A to B = 15 : 85 = 3 : 17

Final ratio of A to B = 35 : 65 = 7 : 13

Equating B (constant) by multiplying initial by 13 and final by 17:

Initial A = 3 × 13 = 39 | Final A = 7 × 17 = 119

Percentage increase in A = (119 − 39) ÷ 39 × 100 = 80/39 × 100 ≈ 205.13%

∴ The correct answer is 205.13%.

Alternate Method

Given:

Initial Mixture: A = 15%, B = 85%

Final Mixture: A = 35%, B = 65%

Formula:

Percentage Increase = (Change in quantity ÷ Original quantity) × 100

Let the initial total mixture be 100 units.

⇒ Initial quantity of A = 15 units, Initial quantity of B = 85 units.

⇒ After adding A, the quantity of B remains constant at 85 units.

⇒ In the new mixture, B represents 100% − 35% = 65%.

⇒ 65% of New Total Mixture = 85 units

⇒ New Total Mixture = 85 ÷ 0.65 = 130.769 units

⇒ New quantity of A = New Total − B = 130.769 − 85 = 45.769 units

⇒ Increase in quantity of A = 45.769 − 15 = 30.769 units

⇒ Percentage increase in A = (30.769 ÷ 15) × 100

⇒ Percentage increase in A ≈ 205.13%

∴ The correct answer is 205.13%.

Additional Information

Mixture Constant Property

When only one component of a mixture is added or removed, the absolute quantity of the other component remains unchanged. Use this constant to find the new total volume.

Percentage Change Formula

Percentage Increase/Decrease = [(Final Value − Initial Value) ÷ Initial Value] × 100.

Ratio Balancing Method

To solve mixture problems quickly, represent components as ratios and multiply the ratios by suitable factors to keep the non-changing component at the same numerical value.

Shortcut Trick

Convert all values to fractions with a common denominator of 6.

3 5/6 = 23/6, 25/6, 3 1/2 = 21/6, 22/6.

Now, compare the numerators: 25 > 23 > 22 > 21.

Arranging in descending order: 25/6 > 23/6 > 22/6 > 21/6.

∴ The correct answer is 25/6 > 3 5/6 > 22/6 > 3 1/2.

Alternate Method

Given: 3 5/6, 25/6, 3 1/2, 22/6

Formula Used: Mixed fraction a b/c = (a × c + b) / c; Equivalent fractions.

⇒ 3 5/6 = (3 × 6 + 5) / 6 = 23/6

⇒ 25/6 = 25/6

⇒ 3 1/2 = (3 × 2 + 1) / 2 = 7/2

⇒ Convert 7/2 to denominator 6: (7 × 3) / (2 × 3) = 21/6

⇒ 22/6 = 22/6

⇒ Comparing all: 25/6, 23/6, 22/6, 21/6

⇒ Descending order: 25/6 > 23/6 > 22/6 > 21/6

⇒ Original values: 25/6 > 3 5/6 > 22/6 > 3 1/2

∴ The correct answer is 25/6 > 3 5/6 > 22/6 > 3 1/2.

Additional Information

Comparison of Fractions

To compare fractions, convert them to like fractions (same denominator) using the LCM of their denominators, then compare the numerators.

Mixed to Improper Conversion

A mixed number a b/c is converted to an improper fraction as (a × c + b) / c.

Cross-Multiplication Method

For two fractions a/b and c/d, if a × d > b × c, then a/b > c/d.

Shortcut Trick

Estimate the middle value by dividing the sum by 2: 313 ÷ 2 = 156.5.

Identify perfect squares nearest to 156.5: 144 (12²) and 169 (13²).

Check their sum: 144 + 169 = 313. This matches the given condition.

The larger of the two consecutive numbers (12 and 13) is 13.

∴ The correct answer is 13.

Alternate Method

Given: Sum of squares of two consecutive natural numbers = 313.

Method: Quadratic equation factorisation.

⇒ Let the two consecutive natural numbers be x and (x + 1).

⇒ x² + (x + 1)² = 313

⇒ x² + (x² + 2x + 1) = 313

⇒ 2x² + 2x + 1 − 313 = 0

⇒ 2x² + 2x − 312 = 0

⇒ x² + x − 156 = 0

⇒ x² + 13x − 12x − 156 = 0

⇒ x(x + 13) − 12(x + 13) = 0

⇒ (x − 12)(x + 13) = 0

⇒ x = 12 or x = −13

⇒ Since x is a natural number, x = 12.

⇒ Larger number = x + 1 = 12 + 1 = 13.

∴ The correct answer is 13.

Additional Information

Consecutive Numbers

Numbers that follow each other continuously in order from smallest to largest. For natural numbers, the difference between consecutive terms is always 1.

Quadratic Roots Formula

For a quadratic equation ax² + bx + c = 0, roots can be found using x = [−b ± √(b² − 4ac)] ÷ 2a.

Sum of Squares of First n Natural Numbers

The sum of the squares of the first n natural numbers is given by the formula: [n(n + 1)(2n + 1)] ÷ 6.

Shortcut Trick

For an expression of type 1/(a + √b) + 1/(a − √b), the result is always 2a / (a² − b).

Here, a = 6 and √b = √3 ⇒ b = 3.

Applying the formula: 2 × 6 / (6² − 3) = 12 / (36 − 3).

Result = 12 / 33 = 4/11.

∴ The correct answer is 4/11.

Alternate Method

Given:

Expression: 1/(6 + √3) + 1/(6 − √3)

Formula Used:

Addition of fractions: (1/A) + (1/B) = (A + B) / (AB)

Algebraic Identity: (a + b)(a − b) = a² − b²

Calculations:

⇒ [(6 − √3) + (6 + √3)] / [(6 + √3) × (6 − √3)]

⇒ (6 + 6 − √3 + √3) / [6² − (√3)²]

⇒ 12 / (36 − 3)

⇒ 12 / 33

⇒ (4 × 3) / (11 × 3)

⇒ 4/11

∴ The correct answer is 4/11.

Additional Information

Rationalization of Denominator

To rationalize 1/(a + √b), multiply numerator and denominator by the conjugate (a − √b).

Difference of Squares

The product of sum and difference of two terms is (a + b)(a − b) = a² − b², which eliminates the square root in surds.

Conjugate Surds

(a + √b) and (a − √b) are called conjugate pairs; their sum and product are always rational numbers.

Shortcut Trick

Approximate the cube root of the product: √³693 is between 8 and 9 (since 8³ = 512 and 9³ = 729).

Test consecutive odd numbers around 9: 7, 9, and 11.

Verification: 7 × 9 × 11 = 63 × 11 = 693 (Matches given product).

Smallest = 7, Largest = 11. Sum = 7 + 11 = 18.

∴ The correct answer is 18.

Alternate Method

Given:

Product of three consecutive odd numbers = 693

Method: Factorization

⇒ Let the numbers be x, x+2, and x+4.

⇒ x(x+2)(x+4) = 693

⇒ Perform prime factorization of 693:

⇒ 693 = 3 × 231

⇒ 693 = 3 × 3 × 77

⇒ 693 = 3 × 3 × 7 × 11

⇒ 693 = 9 × 7 × 11

⇒ The consecutive odd numbers are 7, 9, and 11.

⇒ Smallest number = 7

⇒ Largest number = 11

⇒ Sum = 7 + 11 = 18

∴ The correct answer is 18.

Additional Information

Consecutive Odd Numbers

Consecutive odd numbers always have a common difference of 2 and can be represented as n, n+2, n+4...

Estimation Trick for Products

For three consecutive numbers with mean 'm', their product is approximately m³. Thus, √³(Product) gives a quick estimate of the middle number.

Arithmetic Progression Properties

The sum of any number of terms in an AP is given by S_n = n/2 × (first term + last term).

Shortcut Trick

If the difference between the numbers under the square roots is 1, the reciprocal of (√a − √b) is simply (√a + √b).

Since 3 − 2 = 1, then 1/(√3 − √2) = √3 + √2.

Expression = (√3 + √2) + (√3 + √2) = 2(√3 + √2).

∴ The correct answer is 2(√3 + √2).

Alternate Method

Given: (√3 + √2) + 1/(√3 − √2)

Formula used: (a − b)(a + b) = a² − b²

⇒ Expression = (√3 + √2) + [1 × (√3 + √2)] / [(√3 − √2) × (√3 + √2)]

⇒ Expression = (√3 + √2) + (√3 + √2) / [(√3)² − (√2)²]

⇒ Expression = (√3 + √2) + (√3 + √2) / (3 − 2)

⇒ Expression = (√3 + √2) + (√3 + √2) / 1

⇒ Expression = 2 × (√3 + √2)

∴ The correct answer is 2(√3 + √2).

Additional Information

Rationalization of Surds

To rationalize a denominator of the form (√a ± √b), multiply both the numerator and the denominator by its conjugate (√a ∓ √b).

Conjugate Property

When the product of two irrational numbers is a rational number, they are called conjugates of each other, satisfying (a − √b)(a + √b) = a² − b.

Reciprocal Rule

For any surds where a − b = 1, the reciprocal of the difference is the sum: 1/(√a − √b) = √a + √b.

Shortcut Trick

A number is divisible by 6 if it is divisible by both 2 and 3.

5678 is even, so it is already divisible by 2.

Sum of digits of 5678 = 5 + 6 + 7 + 8 = 26.

Nearest multiple of 3 less than 26 is 24.

Least number to subtract = 26 − 24 = 2.

∴ The correct answer is 2.

Alternate Method

Given: Number = 5678, Divisor = 6

Formula: Dividend = (Divisor × Quotient) + Remainder

⇒ 5678 ÷ 6

⇒ 56 ÷ 6 = 9 with remainder 2

⇒ 27 ÷ 6 = 4 with remainder 3

⇒ 38 ÷ 6 = 6 with remainder 2

⇒ Remainder = 2

⇒ The least number to be subtracted is the remainder itself.

∴ The correct answer is 2.

Additional Information

Divisibility Rule of 3

A number is divisible by 3 if the sum of all its digits is divisible by 3.

Divisibility Rule of 6

A number is divisible by 6 if it is divisible by both 2 (even number) and 3 (sum of digits rule).

Subtraction vs Addition for Divisibility

To make a number divisible, subtract the Remainder or add (Divisor − Remainder).

Shortcut Trick

Sum of squares formula = n(n+1)(2n+1) ÷ 6

Required Sum = (Sum from 1 to 45) − (Sum from 1 to 10)

Sum = [(45 × 46 × 91) ÷ 6] − [(10 × 11 × 21) ÷ 6]

Sum = 31395 − 385 = 31010

∴ The correct answer is 31010.

Alternate Method

Given:

Series: 11² + 12² + 13² + ... + 45²

Formula Used:

Sum of squares of first n natural numbers (Σn²) = [n(n+1)(2n+1)] ÷ 6

Calculations:

⇒ Sum (11² to 45²) = Σ₁⁴⁵ n² − Σ₁¹⁰ n²

⇒ For n = 45: Σ₁⁴⁵ n² = [45 × (45+1) × (2 × 45 + 1)] ÷ 6

⇒ Σ₁⁴⁵ n² = [45 × 46 × 91] ÷ 6

⇒ Σ₁⁴⁵ n² = 15 × 23 × 91 = 31395

⇒ For n = 10: Σ₁¹⁰ n² = [10 × (10+1) × (2 × 10 + 1)] ÷ 6

⇒ Σ₁¹⁰ n² = [10 × 11 × 21] ÷ 6

⇒ Σ₁¹⁰ n² = 5 × 11 × 7 = 385

⇒ Required Sum = 31395 − 385 = 31010

∴ The correct answer is 31010.

Additional Information

Sum of first n natural numbers

The sum of the first n natural numbers is given by the formula S_n = [n(n+1)] ÷ 2.

Sum of cubes of first n natural numbers

The sum of cubes is the square of the sum of the first n natural numbers: Σn³ = [n(n+1) ÷ 2]².

Sum of first n even natural numbers

The sum of the first n even natural numbers (2, 4, 6, ...) is given by n(n+1).

Shortcut Trick

Net change in the sum of numbers = New value − Old value

Net change = 20 − 54 = −34

Change in average = Net change ÷ Total numbers = −34 ÷ 10 = −3.4

New average = Old average + Change in average = X − 3.4

∴ The correct answer is X − 3.4.

Alternate Method

Given:

Total numbers (n) = 10

Initial average = X

Old number = 54

New number = 20

Formula Used:

Average = Total Sum ÷ Total Numbers

New Average = [ (Total Sum − Old Value) + New Value ] ÷ n

Calculations:

⇒ Initial sum of 10 numbers = Average × Count = X × 10 = 10X

⇒ Sum after removing 54 = 10X − 54

⇒ Sum after adding 20 = (10X − 54) + 20

⇒ New sum = 10X − 34

⇒ New average = New sum ÷ 10

⇒ New average = (10X − 34) ÷ 10

⇒ New average = X − 3.4

∴ The correct answer is X − 3.4.

Additional Information

Basic Average Formula

The average is the sum of all observations divided by the total number of observations. Average = ∑x_i ÷ n.

Impact of Change in Values

If every number in a data set is increased/decreased by a constant 'k', the average also increases/decreases by 'k'.

Net Deviation Principle

The algebraic sum of deviations of a set of observations from their arithmetic mean is always zero. New Avg = Old Avg + (Total Change ÷ n).

Shortcut Trick

The sum of the first 25 prime numbers (from 2 to 97) is a standard mathematical constant used in exams, which is 1060.

Total count of observations (n) = 25.

Average = Total Sum ÷ Total Count = 1060 ÷ 25.

Average = 42.4.

∴ The correct answer is 42.4.

Alternate Method

Given: First 25 prime natural numbers.

Formula Used: Average = (Sum of all observations) ÷ (Total number of observations)

⇒ First 25 prime numbers = 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

⇒ Sum = (2+3+5+7+11) + (13+17+19+23+29) + (31+37+41+43+47) + (53+59+61+67+71) + (73+79+83+89+97)

⇒ Sum = 28 + 101 + 199 + 311 + 421 = 1060

⇒ Average = 1060 ÷ 25

⇒ Average = 42.4

∴ The correct answer is 42.4.

Additional Information

Definition of Prime Numbers

Natural numbers greater than 1 that have only two factors: 1 and the number itself. The smallest prime is 2.

Average of First n Natural Numbers

Unlike primes, for consecutive natural numbers, the average is simply (n + 1) ÷ 2.

Properties of 2

The number 2 is the only even prime number; all other prime numbers are odd.

Composite Numbers

Numbers with more than two factors are composite. 1 is neither prime nor composite.

Shortcut Trick

When two lines are parallel (AB || CD), alternate exterior angles formed by a transversal are equal.

Angle PRB and Angle QSC are alternate exterior angles.

∴ Angle QSC = Angle PRB = 82°.

∴ The correct answer is 82°.

Alternate Method

Given: AB || CD and transversal PQ intersects AB at R and CD at S.

Angle PRB = 82°.

⇒ Angle PRB and Angle RSD are corresponding angles.

⇒ Angle RSD = Angle PRB = 82°.

⇒ Angle QSC and Angle RSD are vertically opposite angles.

⇒ Angle QSC = Angle RSD = 82°.

∴ The correct answer is 82°.

Additional Information

Corresponding Angles

When two parallel lines are cut by a transversal, the angles in matching corners are equal.

Alternate Interior/Exterior Angles

Pairs of angles on opposite sides of the transversal and outside (exterior) or inside (interior) the parallel lines are equal.

Consecutive Interior Angles

Angles on the same side of the transversal and inside the parallel lines are supplementary (Sum = 180°).

Shortcut Trick

Since AB || DE, the angle ∠CED is equal to ∠BAC (32°) as alternate interior angles.

In ΔCDE, ∠ACD acts as the exterior angle to the interior angle ∠DCE.

By the Exterior Angle Theorem, ∠ACD = ∠CDE + ∠CED.

∠ACD = 43° + 32° = 75°.

∴ The correct answer is 75°.

Alternate Method

Given: AB || DE, ∠BAC = 32°, ∠CDE = 43°.

Formula: Alternate Interior Angles; Exterior Angle Theorem (∠ext = sum of two opposite interior ∠s).

⇒ AB || DE and AE is the transversal.

⇒ ∠CED = ∠BAC = 32° (Alternate Interior Angles)

⇒ In ΔCDE, points A, C, E are collinear, making ∠ACD the exterior angle at vertex C.

⇒ ∠ACD = ∠CDE + ∠CED

⇒ ∠ACD = 43° + 32° = 75°

∴ The correct answer is 75°.

Additional Information

Exterior Angle Theorem

The measure of an exterior angle of a triangle is equal to the sum of the measures of its two remote (non-adjacent) interior angles.

Alternate Interior Angles

When two parallel lines are intersected by a transversal, the pairs of angles on opposite sides of the transversal and between the parallel lines are always equal.

Angle Sum Property

The sum of all interior angles in any triangle is always 180°. This can be used to find the third angle if two are known.

The logic followed here is:

So, 'K' will replace the question mark in the given series.

Hence, the correct answer is "Option 2".

The Logic followed here is:

For, DPT : IUY

For, ICR : NHW

Now for, ? : SXP

Therefore, the missing letter cluster is NSK.

Hence, the correct answer is Option 1.

The logic followed here is:

So, 'UE' will replace the question mark in the given series.

Hence, the correct answer is "Option 2".

The Logic followed here is:

For, (KF, IC, GZ)

For, (FW, DT, BQ)

Now, checking the options:

Option (1) → (QY, OV, MS)

Therefore, the cluster set (QY, OV, MS) follows the same logic.

Hence, the correct answer is Option 1.

The logic followed here is:

Given: January 1, 2019 was a Tuesday.

Here, 31 (January) + 28 (February) = 59 days

59 ÷ 7 = 8 weeks and 3 odd days

So, Tuesday + 3 days = Friday

Number of Sundays in March 2019 = 5

Here, 31 (March) + 30 (April) + 31 (May) + 30 (June) + 31 (July) + 31 (August) + 30 (September) + 31 (October) + 30 (November) = 275 days

275 ÷ 7 = 39 weeks and 2 odd days

So, Friday + 2 days = Sunday

Number of Sundays in December 2019 = 5

Month Sundays

March 5

December 5

Total number of Sundays = 5 + 5 = 10

Hence, the correct answer is "Option 3".

The logic followed here is:

Given: January 1, 1910 was a Saturday.

So, Saturday + 3 days = Tuesday

Total Thursdays in March 1910 = 5

So, Saturday + 1 day = Sunday

Total Thursdays in May 1910 = 4

Statement Result

I. March 1910 had 5 Thursdays Correct

II. May 1910 had 5 Thursdays Incorrect

Hence, the correct answer is "Option 1".

The logic followed here is:

Given: Height of K is shorter than L but taller than J.

So, the order is:  J < K < L

Height of no one is shorter than N.

L is not the tallest among them.

Therefore, the remaining student M must be taller than L.

Order: N > J > K > L > M

Students having height less than L but more than N are: J and K

So, Count = 2

Hence, the correct answer is Option 2.

The logic followed here is:

Given: G1, G2, G3, G4, G5, G6 and G7 are sitting around a circular table facing opposite to the centre.

G6 is second to the left of G3.

G7 is third to the right of G6.

G1 is third to the right of G3.

G2 is not next to G1.

G4 is not next to G6.

So, there are 3 girls sitting between G4 and G6.

Hence, the correct answer is Option 3.

The logic followed here is:

Logic: The second figure is formed by replicating the main internal geometric shape inside itself to create concentric layers, followed by placing a solid black dot directly at the absolute center.

The first pair: The first figure contains a single diamond shape. In the second figure, another smaller concentric diamond is drawn inside it, and a solid black dot is placed at the center.

The second pair: The third figure contains a single hexagon shape. Following the same rule, the missing figure must contain a smaller concentric hexagon inside the original hexagon, along with a solid black dot at the center.

Hence, the correct answer is Option 3.

The logic followed here is:

Logic: The peripheral elements move one position in a counter-clockwise direction, and the central number increases by 3.

The first pair:

The element at the top moves to the left position.

The element on the left moves to the bottom position.

The element at the bottom moves to the right position.

The element on the right moves to the top position.

The center number increases from 2 to 5.

The second pair:

The element at the top (1) moves to the left position.

The element on the left (5) moves to the bottom position.

The element at the bottom (3) moves to the right position.

The element on the right (2) moves to the top position.

The center number increases from 4 to 7.

Hence, the correct answer is Option 3.

The Logic followed here is:

For, QF20 : RH40

For, LX15 : MZ30

Now for, GP12 : ?

Therefore, the related letter-number cluster for GP12 is HR24.

Hence, the correct answer is Option 1.

The Logic followed here is:

For, ADJ120 : NHE280

For, RKI130 : MOV290

Now for, LVT160 : ?

Therefore, the related cluster for LVT160 is XZP320.

Hence, the correct answer is Option 3.

Given words: Discriminate, Discrepancy, Discreet, Discredit, Discuss

Logic: Arrange the words according to dictionary (alphabetical) order.

Now, compare:

Discriminate → i

Discrepancy → e

Discreet → e

Discredit → e

Alphabetical order: d < e < p

Order: Discredit, Discreet, Discrepancy, Discriminate, Discuss

Sequence: 4, 3, 2, 1, 5

Hence, the correct answer is Option 3.

The Logic followed here is:

Logic: The pattern observed is (First Number − 43) = Second Number

For, 5077 : 5034

5077 − 43

= 5034

For, 3323 : 3280

3323 − 43

= 3280

Now for, 1558 : ?

1558 − 43

= 1515

Therefore, the missing number is 1515.

Hence, the correct answer is Option 3.

The Logic followed here is:

Logic:  The pattern observed is (First Number − 321) = Second Number

For, 871 : 550

871 − 321

= 550

For, 630 : 309

630 − 321

= 309

Now for, 397 : ?

397 − 321

= 76

Therefore, the missing number is 76.

Hence, the correct answer is Option 3.

The logic followed here is:

Logic: The letters of the word are shifted by the pattern +2, +4, -3, -5 respectively.

Here, BUCK → DYZF

Similarly, FLOW → HPLR

Now, applying the same pattern to HANK:

So, HANK → JEKF

Hence, the correct answer is "Option 4".

The logic followed here is:

Logic: Angle between hour hand and minute hand is calculated using:

Angle = |30 × H − 5.5 × M|

Now, checking the options:

For, 7:20 PM

= |30 × 7 − 5.5 × 20|

= |210 − 110|

= 100°

Thus, the angle between the hands is 100° at 7:20 PM.

Hence, the correct answer is Option 3.

The logic followed here is:

Logic: The number of vertical lines increases by one in each step, while the small square alternates its position and shading.

Vertical lines: 1 → 2 → 3 → 4 → 5

Square position: Right → Left → Right → Left → Right

Square shading: Hollow → Shaded → Hollow → Shaded → Hollow

So, the next figure must contain:  5 vertical lines

A hollow square at the bottom-right corner

Hence, the correct answer is Option 1.

The logic followed here is:

Logic: The letters shift positions in a fixed cyclic pattern in every step.

Position movement:

Top-Right → Top-Middle

Top-Middle → Top-Left

Top-Left → Center

Center → Bottom

Bottom → Top-Right

Applying the same pattern to Figure 1:

Hence, the correct answer is Option 1.

The logic followed here is:

Logic: To find the ages 6 years ago, subtract 6 from the present ages of both persons and then form the ratio.

Now, calculating:

Age of A, 6 years ago = 11 − 6 = 5 years

Age of B, 6 years ago = 15 − 6 = 9 years

Required ratio = 5 : 9

Hence, the correct answer is Option 2.

The correct answer is option 4. The detailed solution will be updated soon.

The correct answer is option 2. In 1950-51, the industrial sector contributed approximately 11.8% to India's GDP. This low share highlights the agrarian nature of the Indian economy at the time of independence, with the industrial base still in its early stages of development.

The correct answer is option 1. The detailed solution will be updated soon.

The correct answer is option 1. The detailed solution will be updated soon.

The correct answer is 3.

Key Points

• Amphibians possess a three-chambered heart, which is a significant evolutionary step from the two-chambered hearts seen in fish.
• The heart structure consists of two atria (the right atrium and the left atrium) and one single ventricle.
• The right atrium receives deoxygenated blood from the various body organs, while the left atrium receives oxygenated blood from the lungs and the skin (which also acts as a respiratory organ).
• Both atria pump blood into the single ventricle, where some degree of mixing of oxygenated and deoxygenated blood occurs before it is pumped out to the rest of the body and the respiratory surfaces.
• This arrangement facilitates double circulation, although it is considered incomplete because the oxygenated and deoxygenated blood streams are not fully separated in the ventricle.

Additional Information

• Fish (Pisces):
• Fish have a two-chambered heart consisting of one atrium and one ventricle.
• They exhibit single circulation, where the heart pumps deoxygenated blood to the gills, and from there, it goes directly to the rest of the body.
• Reptiles:
• Most reptiles have a three-chambered heart with a partially divided ventricle, which reduces the mixing of blood.
• However, crocodiles, alligators, and gavials are unique among reptiles as they possess a fully functional four-chambered heart.
• Birds and Mammals:
• These groups possess a four-chambered heart with two atria and two ventricles.
• This structure ensures the complete separation of oxygenated and deoxygenated blood, allowing for high metabolic efficiency required for warm-blooded (endothermic) animals.
• Amphibian Respiration:
• Because the three-chambered heart allows for some blood mixing, amphibians (such as frogs, toads, and salamanders) often supplement their oxygen intake through cutaneous respiration (breathing through their moist skin).
• This is particularly important during periods when they are submerged in water or during hibernation.

Important Points

• The atrium is the receiving chamber of the heart, while the ventricle is the main pumping chamber.
• In Amphibians, the 3 chambers allow for a more complex circulatory route called the pulmocutaneous circuit, which directs blood to the gas-exchange tissues in the lungs and skin.
• The evolution of the heart from 2 chambers in fish to 3 in amphibians and finally 4 in mammals reflects the increasing energy demands of animals as they moved from aquatic to terrestrial environments.

The correct answer is Right conduct.

Key Points

• In Jainism, the path to liberation (Moksha) is defined by the Triratna or the Three Jewels. Samyakcharitra is the third of these jewels and translates literally to Right conduct.
• Samyakcharitra refers to the practice of living a life based on the principles of Jainism, ensuring that one's actions do not lead to the accumulation of new Karma and help in the shedding of old Karma.
• It involves the strict adherence to ethical and moral codes, specifically the avoidance of harm to all living beings, which is the core tenet of Ahimsa.
• While Samyak Darshana (Right Faith) provides the vision and Samyak Jnana (Right Knowledge) provides the understanding, Samyak Charitra is the practical application of those beliefs in daily life. Hence, the correct answer is Right conduct.
• The practice of Right conduct is divided into two categories: Mahavratas (five great vows) for Jain monks and Anuvratas (five small vows) for laypersons or householders.

Additional Information

• Triratna (The Three Jewels):
• Samyak Darshana (Right Faith/Perception): This refers to having the correct vision or belief in the true nature of reality. It is the starting point of the spiritual journey in Jainism, involving the belief in the Tirthankaras and their teachings.
• Samyak Jnana (Right Knowledge): This is the accurate and doubt-free knowledge of the soul (Jiva) and the non-soul (Ajiva). It requires studying the Jain scriptures and understanding the Anekantavada (theory of many-sidedness).
• Samyak Charitra (Right Conduct): As established, this is the ethical integration of faith and knowledge into action.
• The Five Vows of Jainism:
• Ahimsa: Non-violence toward all living beings.
• Satya: Truthfulness in speech and thought.
• Asteya: Non-stealing or not taking what is not given.
• Brahmacharya: Chastity or sexual continence (added by Lord Mahavira, the 24^th Tirthankara).
• Aparigraha: Non-attachment or non-possession of worldly goods.
• Historical Context: Jainism is an ancient Indian religion. Lord Rishabhdev was the 1^st Tirthankara, while Lord Parshvanatha was the 23^rd. Lord Mahavira (born in 599 BCE) popularized the Triratna and the five-fold path to achieve Kaivalya (omniscience).

Important Points

• The ultimate goal of following the Triratna is to attain Moksha, which is the liberation of the soul from the cycle of birth and death.
• Right Conduct is not just about external actions but also internal purity. It includes Samiti (carefulness in movement) and Gupti (restraint of mind, speech, and body).
• In Jain philosophy, Karma is viewed as a physical substance that sticks to the soul due to passions (Kashayas) like anger, pride, and greed. Samyakcharitra serves as the shield that stops the influx of this matter (Samvara).
• The distinction between Digambara and Svetambara sects also involves slight variations in the interpretation of conduct, particularly regarding clothing and possessions.

The correct answer is Leshalaptu.

Key Points

• Leshalaptu is a traditional folk dance originating from the state of Nagaland in Northeast India.
• This dance is specifically performed by women and is characterized by its rhythmic and graceful movements that showcase the cultural richness of the Naga people.
• It is one of the many vibrant dance forms of the state, often performed during social gatherings and tribal festivals to celebrate the community's heritage.
• The dancers wear traditional tribal costumes, which typically include colorful hand-woven shawls, ethnic beads, and unique jewelry that vary from tribe to tribe.
• The performance of Leshalaptu highlights the significant role of women in preserving the oral and physical traditions of the Naga tribes.

Additional Information

• Shon:
• Shon is a traditional dance from Ladakh, often referred to as the "Royal Dance" because it was historically performed for the King (Lama) of Ladakh.
• It is performed on special occasions, and the dancers move in a slow, dignified manner accompanied by the sounds of the Surna (oboe) and Daman (drum).
• Phulpati:
• This folk dance belongs to the Malwa region of Madhya Pradesh.
• It is primarily performed by unmarried girls during the Holi festival as a celebration of nature and the arrival of spring.
• Lezim:
• Lezim is a popular folk dance from the state of Maharashtra.
• The dance is named after a small musical instrument called the Lezim, which consists of a wooden stick with jingling cymbals attached to a chain.
• It is a high-energy dance form frequently seen during the Ganesh Chaturthi festival and other cultural processions.
• Nagaland:
• Located in Northeast India, Nagaland became the 16^th state of the Indian Union on 1^st December 1963.
• The state capital is Kohima, and the largest city is Dimapur.
• It is home to several major tribes, including the Angami, Ao, Sumi, Konyak, and Rengma, each having its own distinct festivals and dances.

Important Points

• Hornbill Festival: Often called the "Festival of Festivals," it is held every year from 1^st to 10^th December at Kisama Heritage Village to encourage inter-tribal interaction and promote the cultural heritage of Nagaland.
• War Dance: One of the most prominent dance styles in Nagaland, usually performed by men involving mock combat movements, spears, and shields.
• Bailadila: While not a dance, it's worth noting the Naga culture is deeply rooted in agriculture, and many dances like the Zeliang dance or Bamboo dance (similiar to Cheraw) are linked to harvest cycles.
• Moatsu Mong: A major festival of the Ao tribe celebrated in May after the completion of the sowing season, featuring vigorous singing and dancing.
• Sekrenyi: A purification festival celebrated by the Angami tribe in February, marking the start of a new lunar year with traditional rituals.

The correct answer is Adrenal gland.

Key Points

• The Adrenal glands are small, triangular-shaped endocrine glands located on the superior aspect (top) of both kidneys.
• These glands are responsible for secreting adrenaline (also known as epinephrine) and noradrenaline (norepinephrine) from the adrenal medulla, which is the inner part of the gland.
• Adrenaline is primarily known as the "emergency hormone" or the "fight-or-flight" hormone because it is secreted rapidly in response to stress, danger, or extreme emotions.
• The primary function of adrenaline is to prepare the body for immediate physical action by increasing the heart rate, elevating blood pressure, and dilating the bronchioles in the lungs to increase oxygen intake.
• It also stimulates the breakdown of glycogen into glucose in the liver, increasing blood sugar levels to provide a sudden surge of energy to the muscles.

Additional Information

• Pituitary Gland:
• Often referred to as the "Master Gland," it is located at the base of the brain, just below the hypothalamus.
• It secretes various essential hormones, including Growth Hormone (GH), Thyroid-stimulating hormone (TSH), and Adrenocorticotropic hormone (ACTH), which regulate other endocrine glands.
• Thyroid Gland:
• This butterfly-shaped gland is located in the neck, in front of the trachea.
• It produces Thyroxine (T4) and Triiodothyronine (T3), which play a critical role in regulating the body's metabolic rate, body temperature, and growth.
• Thymus Gland:
• Located in the upper chest behind the sternum, it is a vital part of the immune system during early life.
• It secretes thymosin, a hormone necessary for the maturation and development of T-lymphocytes (T-cells).
• The gland is most active during childhood and begins to shrink (atrophy) after puberty, being replaced by fatty tissue in adults.

Important Points

• The Adrenal gland is divided into two distinct structures: the Adrenal Cortex (outer layer) and the Adrenal Medulla (inner layer).
• The Adrenal Cortex produces corticosteroids such as Cortisol (involved in metabolism and stress response) and Aldosterone (which regulates salt and water balance).
• In medical applications, synthetic adrenaline is used in EpiPens to treat anaphylaxis (severe allergic reactions) by reversing low blood pressure and opening airways.
• The Endocrine System utilizes these hormones as chemical messengers that travel through the bloodstream to reach target organs and maintain homeostasis.

The correct answer is Rajasthan.

Key Points

• The Pushkar Fair, also known as the Pushkar Camel Fair or locally as Kartik Mela, is an annual multi-day livestock fair and cultural fete held in the town of Pushkar.
• It is held in the Ajmer district of the state of Rajasthan, India. Hence, the correct answer is Rajasthan.
• The fair is one of the world's largest camel and livestock fairs, attracting thousands of traders who bring camels, horses, and cattle for sale and purchase.
• The event is celebrated during the Hindu lunar month of Kartika, typically falling in October or November.
• The fair culminates on Kartika Purnima (the full moon day), which is the most auspicious day for pilgrims to take a holy dip in the Pushkar Lake.
• It has become a significant tourist attraction, drawing visitors from across the globe to witness traditional Rajasthani culture, folk music, and dance.

Additional Information

• Religious Significance:
• Pushkar is home to the only prominent temple dedicated to Lord Brahma in the world, which dates back to the 14^th century.
• The Pushkar Lake is surrounded by 52 ghats where devotees perform prayers and religious rituals.
• Cultural Activities:
• The fair features unique competitions such as the "longest moustache" contest, "matka phod", and bridal competitions.
• Camel races and decorated camel parades are the hallmark features of the festivities.
• Economic Impact:
• The fair is a vital source of income for local artisans, traders, and the hospitality sector in Rajasthan.
• It promotes rural tourism and showcases the vibrant heritage of the Thar Desert region.

Important Points

• Location and Geography: Pushkar is situated at an average elevation of 510 meters and is nestled between the Aravalli Range hills.
• Other Options Context:
• Bihar: Famous for the Sonepur Cattle Fair, which is another of the largest livestock fairs in Asia, held at the confluence of the Ganges and Gandak rivers.
• Punjab: Known for festivals like Baisakhi and Hola Mohalla, which reflect the martial and agricultural spirit of the state.
• Kerala: Renowned for temple festivals like Thrissur Pooram and the Nehru Trophy Boat Race held in the backwaters.
• Recent Trends: In recent years, the Rajasthan Tourism Department has introduced hot air balloon flights during the fair to provide a panoramic view of the massive gathering and the desert landscape.

The correct answer is Queen Elizabeth I.

Key Points

• On December 31, 1600, Queen Elizabeth I granted a Royal Charter to the "Governor and Company of Merchants of London Trading into the East Indies."
• This charter granted the East India Company (EIC) a monopoly on English trade with all countries east of the Cape of Good Hope and west of the Straits of Magellan.
• The initial charter provided the company with exclusive trading rights for a period of 15 years, which was later extended indefinitely by King James I in 1609.
• The primary motivation behind the charter was to compete with the Dutch and Portuguese who were already profiting from the spice trade in the East Indies (present-day Indonesia and Southeast Asia).
• At the time this charter was signed in 1600, the Mughal Empire in India was being ruled by Emperor Akbar, who reigned until 1605.

Additional Information

• Queen Victoria:
• She reigned from 1837 to 1901, which was much later than the formation of the company.
• Following the Revolt of 1857, the Government of India Act 1858 transferred the administration of India from the Company to the British Crown.
• She was proclaimed the Empress of India (Kaiser-i-Hind) in 1876 at the Delhi Durbar.
• Queen Mary I:
• Commonly known as "Bloody Mary," she ruled England and Ireland from 1553 until 1558.
• She was the elder half-sister of Queen Elizabeth I and was focused on restoring Catholicism in England rather than eastern trade expansion.
• Queen Anne:
• She reigned from 1702 to 1714.
• Her reign is most notable for the Acts of Union 1707, which united the kingdoms of England and Scotland into a single sovereign state called Great Britain.
• The East India Company's Evolution:
• The company eventually shifted its focus from spices to commodities like cotton, silk, indigo dye, saltpeter, and tea.
• It transitioned from a purely commercial entity to a ruling power in India after the Battle of Plassey in 1757 and the Battle of Buxar in 1764.

Important Points

• Early Expeditions: The first voyage of the company took place in 1601 under the command of James Lancaster, reaching Bantam in the East Indies.
• Entry into India: The company's first ship, Hector, reached Surat in 1608. Captain William Hawkins visited the court of the Mughal Emperor Jahangir to seek trade concessions but was initially unsuccessful due to Portuguese influence.
• Sir Thomas Roe: In 1615, King James I sent Sir Thomas Roe as an ambassador to the court of Jahangir, successfully securing a royal farman (decree) to establish factories at Surat and other places.
• Charter Act of 1813: This act was a major turning point as it ended the company's monopoly over Indian trade, though it retained the monopoly over trade with China and the trade in tea.
• Charter Act of 1833: This act brought an end to the East India Company's commercial activities entirely, turning it into a purely administrative body for the British possessions in India.

The correct answer is Nagaland.

Key Points

• Bushu, popularly known as Bushu Dima, is the most significant post-harvest festival of the Dimasa Kachari community.
• It is traditionally celebrated in the state of Nagaland and parts of Assam. In Nagaland, the festival is observed with great enthusiasm in regions like Dimapur and Dhansiri.
• The festival is generally celebrated in the month of January, specifically on January 27^th every year, after the harvest is safely gathered in the granaries.
• Depending on the duration and scale of the celebration, Bushu is categorized into three types: Bushu Jidap (celebrated for 3 days), Surem Bushu (celebrated for 5 days), and Hangseu Bushu (a grand celebration lasting 7 days or more).
• The celebration involves community feasts, traditional Dimasa folk dances like Baiba, and the playing of indigenous musical instruments such as the Muri (a long wooden flute) and Kharam (drum).

Additional Information

• Other Festivals of Nagaland:
• Nagaland is often called the 'Land of Festivals'. The most famous is the Hornbill Festival, held in the first week of December at Kisama Heritage Village, which features all 16 major tribes of the state.
• Other tribal festivals include Sekrenyi (celebrated by the Angami tribe in February), Moatsu (celebrated by the Ao tribe in May), and Aoleang (celebrated by the Konyak tribe in April).
• Festivals in Bihar:
• Chhath Puja is the most important ancient Hindu festival dedicated to the Sun God and Chhathi Maiya. It is observed on the sixth day of the lunar month of Kartika.
• Other notable festivals include Sama Chakeva, Bihula, and the Sonepur Cattle Fair, which is one of the largest livestock fairs in Asia.
• Festivals in Punjab:
• Baisakhi is the major harvest festival celebrated in April, marking the Sikh New Year and the formation of the Khalsa Panth in 1699.
• Lohri is celebrated in January to mark the end of peak winter and the arrival of longer days, characterized by bonfires and folk songs.
• Festivals in Karnataka:
• Ugadi is the New Year festival for the people of the Deccan region, celebrated with the preparation of 'Bevu Bella'.
• Kambala is a traditional buffalo race held annually in coastal Karnataka districts like Dakshina Kannada and Udupi.

The correct answer is light years.

Key Points

• A light year is defined as the total distance that light travels in a vacuum in one Julian year, which consists of 365.25 days.
• Since galaxies and other celestial bodies are separated by immense stretches of space, using terrestrial units like kilometres or miles results in numbers so large they become difficult to manage; therefore, astronomers use light years as a standard unit of measurement.
• The speed of light is a fundamental physical constant, approximately 2,99,792,458 metres per second (commonly rounded to 3,00,000 kilometres per second).
• Numerically, one light year is equivalent to approximately 9.46 trillion kilometres (9.46 x 10¹² km) or about 5.88 trillion miles.
• For instance, the Andromeda Galaxy, which is the closest large spiral galaxy to our Milky Way, is located at a distance of about 2.5 million light years from Earth.

Additional Information

• Astronomical Unit (AU):
• This is another unit used in astronomy, primarily for distances within our solar system.
• 1 AU represents the mean distance between the Earth and the Sun, which is roughly 150 million kilometres or 93 million miles.
• Parsec (pc):
• The parsec is a unit of distance used to measure even larger scales than light years, based on the parallax method.
• One parsec is equal to approximately 3.26 light years or 30.9 trillion kilometres.
• Kilometres and Metres:
• These are SI (International System of Units) units for length. While they are essential for measuring distances on Earth or between planets within a system, they are too small for measuring the distance between galaxies. Hence, options 2 and 3 are incorrect.
• Nanometres (nm):
• A nanometre is an extremely small unit of length, equal to one-billionth of a metre (10^-9 m).
• It is typically used to measure the wavelength of light, atomic scales, and nanotechnology components, rather than cosmic distances. Hence, option 4 is incorrect.

Important Points

• Milky Way Diameter: Our own galaxy, the Milky Way, is estimated to be about 1,00,000 to 2,00,000 light years in diameter.
• Proxima Centauri: The closest star to our Sun is Proxima Centauri, which is approximately 4.24 light years away.
• Observable Universe: The diameter of the observable universe is estimated to be about 93 billion light years, showing the necessity of such large units in cosmology.
• The term "light year" was first used in a scientific context around the year 1838 by Friedrich Bessel, who measured the distance to the star 61 Cygni.

The correct answer is Jallianwala Bagh Massacre.

Key Points

• The Jallianwala Bagh Massacre, also known as the Amritsar Massacre, took place on 13 April 1919, which coincided with the festival of Baisakhi.
• A large, peaceful crowd had gathered at the Jallianwala Bagh in Amritsar, Punjab, to protest the arrest of pro-independence activists Dr. Saifuddin Kitchlew and Dr. Satyapal.
• Brigadier-General Reginald Dyer entered the area, blocked the only narrow exit, and ordered his troops to fire on the unarmed crowd without any warning.
• The firing lasted for about 10 minutes, resulting in the deaths of hundreds of people and leaving thousands injured, according to various records.
• In protest against this horrific incident, Rabindranath Tagore renounced his Knighthood, and Mahatma Gandhi returned the Kaisar-i-Hind gold medal.

Additional Information

• Champaran Satyagraha Movement (1917):
• This was the first Satyagraha movement led by Mahatma Gandhi in India, specifically in the Champaran district of Bihar.
• It was organized to protest against the Tinkathia system, where peasants were forced by British planters to grow Indigo on 3/20^th of their land.
• Ahmedabad Mill Workers Movement (1918):
• This movement involved a dispute between cotton mill owners and workers in Ahmedabad regarding the discontinuation of the Plague Bonus.
• Mahatma Gandhi intervened and undertook his first hunger strike in India to demand a 35% wage increase for the workers.
• Chauri-Chaura Incident (1922):
• Occurred on 4 February 1922 (some sources cite 5 February) at Chauri Chaura in the Gorakhpur district of the United Provinces (modern-day Uttar Pradesh).
• A large group of protesters participating in the Non-Cooperation Movement clashed with police, who opened fire. In retaliation, the demonstrators attacked and set fire to a police station, killing 22 policemen.
• This violence led Mahatma Gandhi to call off the Non-Cooperation Movement on 12 February 1922.
• Rowlatt Act (1919):
• Formally known as the Anarchical and Revolutionary Crimes Act, it was passed in March 1919 by the Imperial Legislative Council.
• It authorized the government to imprison any person suspected of terrorism for up to two years without trial, leading to widespread protests across India.

Important Points

• The British government established the Hunter Commission (Disorders Inquiry Committee) in October 1919 to investigate the events of the Jallianwala Bagh Massacre.
• Michael O'Dwyer was the Lieutenant Governor of Punjab at the time of the massacre and supported General Dyer's actions.
• Years later, in 1940, Udham Singh assassinated Michael O'Dwyer in London as an act of revenge for the massacre.
• The incident is considered a decisive turning point in the Indian Freedom Struggle, as it significantly alienated the Indian public from British rule.

The correct answer is Coronagraph and Occulter.

Key Points

• The Proba-3 mission is a pioneering project by the European Space Agency (ESA) designed to demonstrate high-precision formation flying in space.
• The mission consists of two distinct spacecraft: the Coronagraph spacecraft (CSC) and the Occulter spacecraft (OSC).
• The primary objective of these two satellites is to act as a single, giant solar coronagraph. The Occulter spacecraft flies approximately 150 meters in front of the Coronagraph spacecraft to block the direct light of the Sun.
• By perfectly aligning the two satellites, the Occulter casts a shadow precisely over the Coronagraph’s lens, allowing the latter to observe the Sun’s inner corona, which is usually invisible due to the Sun's intense glare.
• This formation requires extreme precision, maintaining their relative positions within millimeter-level accuracy while orbiting the Earth in a Highly Elliptical Orbit (HEO).

Additional Information

• Launch Details: The Proba-3 mission was launched by the Indian Space Research Organisation (ISRO) using the PSLV-C59 (Polar Satellite Launch Vehicle) rocket. The launch took place from the Satish Dhawan Space Centre (SDSC) in Sriharikota in December 2024.
• Scientific Significance: The mission aims to study the solar corona in visible light. Understanding the corona is vital for predicting Space Weather, Solar Winds, and Coronal Mass Ejections (CMEs), which can impact satellite communications and power grids on Earth.
• Project for On-Board Autonomy (Proba): The Proba series is part of ESA’s technology demonstration program. Previous missions include Proba-1 (Earth observation), Proba-2 (solar observation), and Proba-V (vegetation monitoring).
• Technical Innovation: Proba-3 is the world’s first mission to maintain such a rigid large-scale structure in space using two independent satellites rather than a single physical structure.

Important Points

• Spacecraft Roles: The Occulter spacecraft weighs approximately 250 kg and carries the occulting disk, while the Coronagraph spacecraft weighs about 300 kg and carries the scientific camera and instruments.
• Mission Orbit: The satellites operate in a 19.7-hour orbit. The formation flying and scientific observations occur during the 6-hour period near the apogee (the point farthest from Earth), where gravity effects are minimized, allowing for stable alignment.
• International Collaboration: While led by ESA, the mission involves a consortium of European industries and a significant partnership with ISRO for the launch services, highlighting global cooperation in space exploration.

The correct answer is 1020.

Key Points

• According to the National Family Health Survey-5 (NFHS-5) conducted between 2019-21, the sex ratio for the total population in India is 1020 females per 1000 males.
• This is a landmark finding as it is the first time in any major national survey or census in India that the number of women has exceeded the number of men.
• In comparison, the previous NFHS-4 (2015-16) recorded a sex ratio of 991 females per 1000 males, showing a positive upward trend in the female population ratio.
• The survey highlights a significant disparity between residential areas: the rural sex ratio stands at 1037, while the urban sex ratio is recorded at 985.
• The Sex Ratio at Birth (SRB) has also seen an improvement, rising from 919 in NFHS-4 to 929 in NFHS-5, although it still remains below the natural equilibrium.

Additional Information

• Nodal Agency: The International Institute for Population Sciences (IIPS), located in Mumbai, is the designated nodal agency for the National Family Health Survey.
• Funding and Oversight: The survey is conducted under the aegis of the Ministry of Health and Family Welfare (MoHFW), Government of India, with technical assistance from ICF International and funding from USAID.
• Total Fertility Rate (TFR): The NFHS-5 reported that India's TFR has declined to 2.0, which is below the replacement level of fertility (2.1).
• Institutional Births: There has been a substantial increase in institutional births, rising from 78.9% in the previous survey to 88.6% in NFHS-5, indicating better access to healthcare facilities.
• Financial Inclusion: The survey noted that the percentage of women having a bank or savings account that they themselves use increased significantly to 78.6%.

Important Points

• Comparison with Census 2011: It is important to note the difference between survey data and census data. The Census of 2011 recorded a sex ratio of 943 females per 1000 males, which was the last comprehensive enumeration of the entire population.
• Policy Impact: The improvement in the sex ratio is often attributed to the success of government schemes like Beti Bachao Beti Padhao (launched in 2015) and various maternal health initiatives.
• Life Expectancy: Experts suggest that the higher sex ratio in the total population is partly due to the fact that women generally have a higher life expectancy than men, leading to a larger surviving female population in older age groups.
• Survey Scope: NFHS-5 provided data for 28 States and 8 Union Territories, covering approximately 6.1 lakh sample households to provide comprehensive estimates for 707 districts.
• Gender Gap: While the overall ratio is positive, the Sex Ratio at Birth (SRB) of 929 indicates that challenges regarding son preference and gender-biased sex selection still persist in society.

The correct answer is speed.

Key Points

• Kinetic energy is the energy possessed by an object by virtue of its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity.
• The mathematical expression for kinetic energy is K.E. = 1/2 mv^2, where m is the mass of the object and v is its speed or velocity.
• According to this formula, the kinetic energy of an object is directly proportional to the square of its speed. Therefore, if the speed of an object increases, its kinetic energy increases significantly. Hence, the statement that kinetic energy increases with speed is correct.
• If the speed of an object is doubled, its kinetic energy becomes four times its original value because the speed is squared (2^2 = 4).
• For an object to have kinetic energy, it must be in motion; if the speed is zero, the kinetic energy will also be zero.

Additional Information

• Mass and Kinetic Energy:
• Kinetic energy is also directly proportional to the mass of the object. If two objects move at the same speed, the object with the greater mass will possess more kinetic energy.
• For example, a truck moving at 50 km/h has much more kinetic energy than a bicycle moving at the same speed due to the difference in their mass.
• Friction:
• Friction is a force that opposes motion between two surfaces. Instead of increasing kinetic energy, friction typically acts to decrease it by converting the energy into thermal energy (heat) or sound energy.
• Volume and Density:
• Density is the mass per unit volume of a substance. While density and volume determine the mass (Mass = Density x Volume), they do not directly dictate the increase in kinetic energy unless they result in a change in mass for an object already in motion.

Important Points

• Units of Energy: The SI unit of kinetic energy is the Joule (J). One Joule is equal to 1 kg.m^2/s^2.
• Work-Energy Theorem: This theorem states that the net work done on an object is equal to the change in its kinetic energy. If positive work is done, the speed increases; if negative work is done (like by friction), the speed decreases.
• Scalar Quantity: Kinetic energy is a scalar quantity, meaning it has magnitude but no direction. This is why even if an object changes its direction of motion but maintains the same speed, its kinetic energy remains constant.
• Potential Energy Comparison: Unlike kinetic energy, potential energy is the energy stored in an object due to its position or configuration (e.g., height above the ground). The sum of kinetic and potential energy is known as mechanical energy.

The correct answer is Serbia.

Key Points

• In March 2025, the government of Serbia was widely accused by international observers and human rights organizations of utilizing sonic weapons to suppress anti-government demonstrations in Belgrade.
• The specific device identified in these reports is the Long Range Acoustic Device (LRAD), a high-intensity hailing system that can emit directed beams of sound reaching painful decibel levels.
• The use of this technology occurred during a period of significant political tension in the Balkan nation, where protesters had gathered to voice concerns over electoral integrity and legislative changes.
• Medical reports from the scene indicated that individuals exposed to the device suffered from acute hearing impairment, extreme vertigo, and nausea, leading to a surge in hospitalizations among the civilian population.
• While the Serbian Ministry of Interior initially described the equipment as a "communication tool," the intensity of the sound waves used suggested a deterrent or weaponized application intended to forcibly clear public spaces.

Additional Information

• Long Range Acoustic Device (LRAD):
• Developed by Genasys (formerly LRAD Corporation), this device is a "non-lethal" weapon that sends messages or deterrent tones over much longer distances than normal loudspeakers.
• It was originally designed for maritime security following the 2000 attack on the USS Cole to warn approaching small boats.
• Physical Impact and Decibel Levels:
• The LRAD 1000Xi model can produce a maximum continuous output of 150 decibels (dB).
• Since the human threshold of pain is approximately 120 to 130 dB, exposure to these levels can cause permanent hearing loss or tinnitus (ringing in the ears).
• The sound waves act on the vestibular system of the inner ear, which controls balance, often causing targets to fall or become physically incapacitated.
• International Human Rights Context:
• Organizations such as Amnesty International and Human Rights Watch have called for the regulation of acoustic devices, arguing they are indiscriminate and can affect peaceful bystanders and residents in nearby buildings.
• The use of these devices in Europe is subject to strict scrutiny under the European Convention on Human Rights, particularly regarding the prohibition of torture and degrading treatment.
• Global Precedents:
• Similar devices have been used for crowd control in the United States during the G20 summits and in Australia during pandemic-related protests, but the 2025 incident in Serbia is noted for the reported duration and intensity of the acoustic strikes.

Important Points

• Technical Functionality: Unlike standard speakers that disperse sound in all directions, a sonic weapon uses piezoelectric transducers to create a narrow, "flashlight-like" beam of sound, allowing police to target specific groups without affecting officers standing behind the device.
• Legal Classification: In many jurisdictions, the LRAD is legally classified as a "communication device" rather than a weapon, which often allows police departments to bypass the stringent oversight required for firearms or chemical agents like tear gas.
• March 2025 Timeline: The escalation in Serbia reached its peak in mid-March, leading to a formal inquiry by the European Parliament regarding the export of such technologies to non-EU countries with histories of civil rights concerns.

The correct answer is 2030.

Key Points

• India has set an ambitious target to reach 500 GW of non-fossil fuel-based energy capacity by the year 2030, as part of its climate action commitments.
• Within this broader goal, the specific target for wind energy is to increase the cumulative installed capacity from its current level of approximately 42 GW to 140 GW by 2030.
• As of 2023, India's total installed wind power capacity stands at about 44.73 GW, making it the fourth-largest in the world in terms of wind energy installation.
• The Ministry of New and Renewable Energy (MNRE) has outlined a trajectory to bid out 50 GW of renewable energy capacity annually from FY 2023-24 to FY 2027-28, which includes a significant portion of wind power projects.
• This expansion is critical for India to meet its Nationally Determined Contributions (NDCs) under the Paris Agreement to reduce the carbon intensity of its economy.

Additional Information

• Global Ranking: India currently ranks 4^th in the world for total installed wind power capacity, trailing only China, the United States, and Germany.
• Leading States: Tamil Nadu is the leader in wind power generation in India, followed closely by Gujarat, Karnataka, and Maharashtra. These states possess high wind power potential due to their geographical locations.
• Offshore Wind Potential: India has a massive coastline of about 7,517 km. The government has identified a potential of 70 GW of offshore wind energy off the coasts of Gujarat and Tamil Nadu.
• National Institute of Wind Energy (NIWE): Based in Chennai, this autonomous institution under the MNRE serves as the technical focal point for wind energy in India, conducting wind resource assessments and testing.
• Policy Incentives: To promote wind energy, the government provides various incentives such as the Generation Based Incentive (GBI), concessional custom duty on certain components, and Inter-State Transmission System (ISTS) charges waiver for wind power projects commissioned by June 2025.

Important Points

• COP26 Commitments: At the COP26 summit in Glasgow (2021), India announced the Panchamrit strategy, which includes achieving Net Zero emissions by 2070 and meeting 50% of its energy requirements from renewable energy by 2030.
• Wind-Solar Hybrid Policy: The National Wind-Solar Hybrid Policy (2018) aims to provide a framework for the promotion of large grid-connected wind-solar PV hybrid systems for optimal utilization of transmission infrastructure and land.
• Repowering Policy: The government introduced a Repowering Policy in 2016 (and updated later) to encourage the replacement of old, low-capacity wind turbines with modern, high-capacity ones to maximize the energy yield per square kilometer of land.
• Manufacturing Hub: India is also emerging as a global manufacturing hub for wind turbine components, with an annual production capacity of about 10 GW to 12 GW.

The correct answer is Haldia.

Key Points

• Haldia Port was specifically constructed to function as a satellite port to the Kolkata Port to reduce the heavy congestion and pressure on the latter.
• It is situated at the confluence of the Hooghly River and the Haldi River, approximately 105 kilometers downstream from the city of Kolkata in West Bengal.
• The port is better equipped to handle deep-draft vessels and bulk cargo like petroleum, chemicals, and iron ore, which are difficult for the riverine Kolkata Port to manage due to siltation issues.
• It is officially known as the Haldia Dock Complex (HDC) and functions under the administrative control of the Syama Prasad Mookerjee Port Trust (formerly Kolkata Port Trust).
• The port serves a massive hinterland that includes the states of West Bengal, Bihar, Jharkhand, Chhattisgarh, and the landlocked neighboring countries of Nepal and Bhutan.
• Hence, the correct answer is Haldia.

Additional Information

• Kolkata Port:
• It is the only major riverine port in India, located on the banks of the Hooghly River.
• Because it is a riverine port, it requires constant dredging to maintain the necessary depth for ships to navigate, especially due to the high siltation from the Ganges system.
• Paradip Port:
• Located in the Jagatsinghpur district of Odisha, it is a deep-water, all-weather port situated at the confluence of the Mahanadi River and the Bay of Bengal.
• It was the first major port on the East Coast commissioned after Independence in 1966 and is a premier gateway for exporting iron ore to Japan and other Southeast Asian nations.
• Kandla Port:
• Located in the Gulf of Kutch in Gujarat, it is now known as the Deendayal Port.
• It was developed in the 1950s to serve as a substitute for the Karachi Port, which went to Pakistan after the Partition of India in 1947. It is a tidal port and handles a large volume of crude oil and petroleum imports.
• Jawaharlal Nehru Port (JNPT):
• Also known as Nhava Sheva, it is located in Navi Mumbai, Maharashtra.
• Commissioned on 26 May 1989, it is the largest container port in India and was built to decongest the Mumbai Port. It handles more than half of the total container traffic of all major ports in the country.

Important Points

• Major Ports in India: India has 13 major ports (12 government-controlled and 1 corporate) that handle about 95% of India's foreign trade by volume and 70% by value.
• Geographical Distribution: Ports like Kandla, Mumbai, JNPT, Mormugao, New Mangalore, and Kochi are located on the West Coast. Ports like Tuticorin, Chennai, Ennore, Visakhapatnam, Paradip, and Kolkata/Haldia are on the East Coast.
• Sagarmala Programme: Launched by the Government of India in 2015, this initiative aims to promote port-led development and modernize India's coastline to reduce logistics costs for domestic and EXIM cargo.

The correct answer is Sudarshan Iyengar.

Key Points

• The book titled ‘In the Footsteps of Mahatma... Gandhi and Sanitation’ is authored by Sudarshan Iyengar.
• Sudarshan Iyengar is a well-known Gandhian scholar and economist who served as the Vice-Chancellor of Gujarat Vidyapith, an institution founded by Mahatma Gandhi in 1920.
• The book explores the profound relationship between Mahatma Gandhi’s philosophy of Swaraj (self-rule) and his rigorous focus on sanitation and hygiene.
• It highlights Gandhi's belief that cleanliness is not just a physical necessity but a spiritual and social responsibility, essential for the dignity of labor and the eradication of untouchability.
• The narrative often connects historical Gandhian practices with contemporary initiatives, providing a roadmap for modern environmental and health challenges.

Additional Information

• Mahatma Gandhi and Sanitation:
• Mahatma Gandhi famously said, "Sanitation is more important than independence," emphasizing that a nation cannot be truly free if it is not clean.
• He initiated several cleanliness drives during his stay in South Africa and later in India, particularly in ashrams like Sabarmati and Sevagram.
• The Swachh Bharat Abhiyan, launched by the Government of India on October 2, 2014, was a national campaign to achieve a "Clean India" as a tribute to Gandhi on his 150^th birth anniversary in 2019.
• Raja Rao:
• He was an Indian-American writer of English-language novels and short stories.
• His famous work Kanthapura (1938) is a significant novel that illustrates the influence of Gandhian ideology on a small Indian village.
• Arun Shourie:
• He is an Indian economist, journalist, and politician who served as a Minister in the Union Cabinet.
• He is the author of several impactful books including "Worshipping False Gods" and "Eminent Historians".
• Kamala Das:
• Known as Madhavikutty in Malayalam literature, she was a renowned poet and memoirist.
• She is widely recognized for her autobiography My Story, published in 1973, and her bold treatment of female sexuality and social issues.

Important Points

• The work of Sudarshan Iyengar often involves the application of Gandhian economic thought to sustainable development.
• The book ‘In the Footsteps of Mahatma... Gandhi and Sanitation’ serves as a critical document for understanding the historical evolution of public health policy in India through a Gandhian lens.
• Gujarat Vidyapith, where Iyengar held a leadership role, continues to promote the values of manual labor and community service, which are central themes in the book.

The correct answer is 2019.

Key Points

• The merger of Vijaya Bank and Dena Bank into Bank of Baroda (BoB) became effective on April 1, 2019.
• This was a historic event as it marked the first-ever three-way merger of public sector banks in India, aimed at creating a stronger and more globally competitive banking entity.
• Following the amalgamation, Bank of Baroda became India's third-largest lender, trailing only behind the State Bank of India (SBI) and HDFC Bank in terms of total business.
• As per the Reserve Bank of India (RBI) guidelines, all branches of the amalgamating banks (Vijaya and Dena) began to function as branches of Bank of Baroda from the commencement of the 2019-20 financial year.
• The primary objective behind this consolidation was to achieve economies of scale, improve operational efficiency, and better manage Non-Performing Assets (NPAs) within the public sector banking system.

Additional Information

• Bank of Baroda (BoB):
• It was founded by Maharaja Sayajirao Gaekwad III of Baroda on July 20, 1908.
• The bank, along with 13 other major commercial banks of India, was nationalized on July 19, 1969, by the Government of India.
• The headquarters of the bank is located in Vadodara (formerly Baroda), Gujarat, and its corporate office is in Mumbai, Maharashtra.
• Vijaya Bank and Dena Bank:
• Vijaya Bank was established in 1931 in Mangaluru, Karnataka, and was nationalized in 1980.
• Dena Bank was founded in 1938 by the family of Devkaran Nanjee and was nationalized in 1969.
• At the time of the merger, Dena Bank was under the Prompt Corrective Action (PCA) framework of the RBI due to high net NPAs.
• Consolidation of Public Sector Banks (PSBs):
• Following this 2019 merger, the government announced another massive consolidation in 2020, where 10 public sector banks were merged into 4 larger entities to streamline the Indian banking landscape.

Important Points

• Share Swap Ratio: Under the scheme of amalgamation, Vijaya Bank shareholders received 402 equity shares of Bank of Baroda for every 1,000 shares held. Dena Bank shareholders received 110 equity shares of Bank of Baroda for every 1,000 shares held.
• Administrative Integration: The Amalgamation of Vijaya Bank and Dena Bank with Bank of Baroda Scheme, 2019, ensured that the employees of the merged banks enjoyed the same pay and service conditions as before, without any immediate displacement.
• Customer Impact: Post April 1, 2019, customers of the erstwhile Vijaya Bank and Dena Bank were treated as customers of Bank of Baroda, though technical integration of passbooks and checkbooks took place in a phased manner over the following months.

The correct answer is 11.

Key Points

• According to the Laws of Table Tennis established by the International Table Tennis Federation (ITTF), a game is won by the player or pair who first scores 11 points.
• An exception to this rule occurs if both players or pairs reach 10 points; in this situation, the game is won by the first player or pair to subsequently establish a lead of 2 points.
• The scoring system was significantly updated in September 2001, when the ITTF reduced the winning score from 21 points to 11 points to increase the intensity and spectator appeal of the sport.
• In an 11-point game, the service alternates between the opponents after every 2 points are scored, regardless of who won the points.
• If the score reaches a 10-10 tie, known as a deuce, the service continues to alternate but changes after every 1 point until a winner is determined by a 2-point margin.
• Hence, the correct answer is 11.

Additional Information

• The International Table Tennis Federation (ITTF):
• The ITTF is the worldwide governing body for table tennis, founded in 1926.
• It is responsible for the rules and regulations of the sport and organizes major international events, including the World Table Tennis Championships.
• The headquarters of the ITTF are located in Lausanne, Switzerland.
• Match Formats:
• A competitive match is usually played as the best of 5 games (first to win 3 games) or the best of 7 games (first to win 4 games).
• In international competitions, individual singles matches are typically played in the best of 7 format.
• Equipment Specifications:
• The standard table dimensions are 2.74 meters (9 feet) in length and 1.525 meters (5 feet) in width, standing 76 cm above the floor.
• The ball must be spherical with a diameter of 40mm and a weight of 2.7 grams, usually made of celluloid or similar plastic material.
• The net is 15.25 cm (6 inches) high and extends 15.25 cm beyond the side limits of the table.

Important Points

• Service Regulations: The ball must be placed on the open palm of the server's stationary hand and tossed at least 16 cm (6 inches) into the air before being struck. It must first bounce on the server's side and then on the receiver's side.
• The "Let" Rule: A let is a rally where no point is scored. This happens if the ball touches the net assembly during service, provided the service is otherwise correct, or if play is interrupted by the umpire.
• Olympic History: Table tennis became an official Olympic sport at the 1988 Seoul Olympics. Since then, it has been a staple of the Summer Olympic Games, with dominant performances historically coming from China.
• Changing Ends: Players switch sides of the table after each game. In the deciding game of a match, players change ends as soon as the first player or pair scores 5 points.

The correct answer is Humayun.

Key Points

• Humayun, the second Mughal Emperor, laid the foundation of the city of Dinpanah in the year 1533 AD.
• The city was constructed on the ancient mound of Indraprastha, a site traditionally associated with the capital of the Pandavas from the epic Mahabharata.
• The name Dinpanah translates to "Refuge of the Faith," reflecting Humayun's vision of creating a cosmopolitan hub for scholars and holy men from various parts of the Islamic world. Hence, the statement regarding Humayun is correct.
• The site is currently known as the Purana Qila (Old Fort) in Delhi. It is situated on the banks of the Yamuna River.
• The construction of Dinpanah was interrupted when Humayun was defeated by Sher Shah Suri in the Battle of Kannauj in 1540, leading to his exile.

Additional Information

• Humayun (Reign: 1530–1540 and 1555–1556):
• He was the son of Babur and faced significant challenges from Sher Shah Suri and his own brothers.
• Within the Purana Qila complex, he built a double-storied octagonal tower known as Sher Mandal, which he used as a library.
• Tragically, Humayun died in 1556 after falling down the stairs of this very library.
• Bakhtiyar Khilji:
• He was a general of Qutub-ud-din Aibak and is primarily known for his military campaigns in Eastern India.
• He is historically noted for the destruction of the ancient Nalanda University in Bihar around 1193 AD. He did not build Dinpanah.
• Akbar (Reign: 1556–1605):
• The son of Humayun, Akbar is considered one of the greatest Mughal rulers.
• He shifted the capital to Agra and later built the magnificent city of Fatehpur Sikri near Agra in 1571. He also commissioned the Agra Fort and Lahore Fort.
• Mohammed Bin Tughlaq (Reign: 1325–1351):
• A ruler of the Tughlaq Dynasty, he is known for his eccentric administrative experiments.
• His most famous projects include the shifting of the capital from Delhi to Daulatabad (Devagiri) and the introduction of token currency using copper coins.
• He built the city of Jahanpanah in Delhi to enclose the areas between Qila Rai Pithora and Siri, but not Dinpanah.
• Sher Shah Suri (Reign: 1540–1545):
• After defeating Humayun, he took over Dinpanah and renamed it Shergarh.
• He added several significant structures to the fort, including the Qila-i-Kuhna Mosque and the Sher Mandal.

The correct answer is Dilruba.

Key Points

• Tat Vadya is a category of musical instruments where sound is produced by the vibration of strings. These are also known as Chordophones.
• Dilruba is a traditional stringed instrument found mainly in North India and Punjab. It is played with a bow and has a neck similar to a Sitar and a soundbox similar to a Sarangi. Hence, the correct answer is Dilruba.
• The Dilruba holds great significance in Sikh history, as it is believed to have been designed by the 10^th Sikh Guru, Guru Gobind Singh, to make it easier for the Sikh warriors to carry the instrument on horseback compared to the heavier Taus.
• It features metal strings and frets, and the soundbox is covered with goatskin (parchment), which gives it a distinct, resonant tone often used in Gurbani Sangeet and Indian Classical Music.
• Flute is a wind instrument where sound is produced by a column of air. In Indian music classification, it is categorized as a Sushira Vadya. Hence, this option is incorrect.
• Dandia are wooden sticks used primarily in the folk dance of Gujarat. Since they produce sound by being struck together, they are classified as Ghan Vadya (Idiophones). Hence, this option is incorrect.

Additional Information

• Classification of Musical Instruments (Natya Shastra):
• The ancient treatise Natya Shastra, written by Bharat Muni (dated between 200 BCE and 200 CE), classifies Indian musical instruments into four main categories based on how they produce sound.
• Tat Vadya (Chordophones): These are stringed instruments. The sound is produced by plucking, bowing, or striking the strings. Examples include Sitar, Veena, Sarod, Santoor, Tanpura, and Ektara.
• Sushira Vadya (Aerophones): These are wind instruments where sound is produced by air. Common examples are Bansuri (Flute), Shehnai, Pungi, and Harmonium.
• Avanaddha Vadya (Membranophones): These are percussion instruments with a stretched skin or membrane that is struck to produce sound. Examples include Tabla, Mridangam, Dholak, and Para (a traditional drum).
• Ghan Vadya (Idiophones): These are solid instruments made of metal or wood that do not require a membrane. Sound is produced by striking two objects together. Examples include Manjira (Cymbals), Jaltarang, Ghatam, and Dandia.
• Detailed Features of Dilruba:
• Origin: Developed in the 18^th century in the Punjab region of India.
• Structure: It consists of approximately 18 to 22 sympathetic strings and 4 main strings. The frets are movable, allowing the player to adjust for different Ragas.
• Use: It is widely used in shabad kirtan and was historically popular in Santour and Rabindra Sangeet.
• Para and Dandia:
• Para (or Parai): One of the oldest drums used in Tamil Nadu, specifically in folk music. It is an Avanaddha Vadya.
• Dandia: These are typically made of bamboo or teak wood and are synonymous with the Navratri festival in Western India.

Important Points

• The Santoor is a unique Tat Vadya because, unlike the Sitar which is plucked, the strings of the Santoor are struck with lightweight wooden mallets or hammers.
• The Veena is often considered the mother of all stringed instruments in Carnatic music and is associated with Goddess Saraswati.
• In 2015, the Dilruba and Taus saw a revival in the Harmandir Sahib (Golden Temple) as the Shiromani Gurdwara Parbandhak Committee (SGPC) encouraged the use of traditional string instruments over the harmonium.

The correct answer is USA.

Key Points

• The United States of America (USA) has been ranked 1^st in the Global Firepower (GFP) Index 2025, maintaining its position as the world's most powerful military.
• The USA achieved the lowest and most favorable Power Index (PwrIndx) score of 0.0744. In this indexing system, a score of 0.0000 is considered the "perfect" score, meaning the lower the numerical value, the higher the nation's theoretical fighting capability.
• The 2025 Global Firepower ranking utilized more than 60 individual factors to determine a given nation's Power Index score, ranging from military might and financials to logistical capability and geography.
• The assessment included a total of 145 world powers, providing a comprehensive look at the conventional war-making capabilities of nations across the globe.
• The USA remains at the top due to its massive defense budget, advanced technological integration, and significant lead in airpower and naval carrier fleets.

Additional Information

• Top Ranked Nations in 2025:
• Russia: Ranked 2^nd globally with a Power Index score of 0.0768.
• China: Ranked 3^rd globally with a Power Index score of 0.0772, closely trailing Russia.
• India: Ranked 4^th globally with a Power Index score of 0.1087, solidifying its status as a major regional and global military power.
• South Korea: Ranked 5^th, showing significant growth in military manufacturing and exports.
• Methodology of the Index:
• The Global Firepower Index has been compiled since 2006. It focuses strictly on conventional capabilities and does not take nuclear stockpiles into account for the direct score, though it considers them as a general strategic deterrent.
• Factors weighed include manpower (available population and active personnel), equipment (tanks, aircraft, naval units), natural resources (oil production/reserves), and financial stability.
• The ranking allows smaller, but more technologically advanced, nations to compete with larger, less-developed ones by applying specific modifiers (penalties and bonuses) to the raw data.

Important Points

• Geographic and Economic Factors: The index rewards nations with high Purchasing Power Parity (PPP) and strong logistical infrastructure, such as ports, terminals, and roadway networks, as these are vital for sustaining long-term military operations.
• Budgetary Dominance: The USA defense budget remains the largest in the world, often exceeding $800 billion, which is greater than the next several countries combined. This enables the United States to maintain 11 nuclear-powered aircraft carriers, a feat unmatched by any other nation.
• Regional Trends: In the 2025 report, there is a notable trend of Asian nations (specifically China, India, and South Korea) increasing their dominance in the top 5, reflecting a shift in global military investment toward the Indo-Pacific region$.

The correct answer is: Option 3 i.e. To cause one an acute feeling of disgust, shame, embarrassment, or anguish.

Key Points

• The idiom "Make one's toes curl" refers to causing a strong emotional reaction, especially one of embarrassment, shame, or disgust. (किसी को शर्मिंदा, घृणित, या परेशान महसूस कराना)
• Example: Watching that awkward performance made my toes curl.
• Correct meaning: The idiom is used in situations where someone feels acute discomfort or embarrassment due to something unpleasant or awkward. (अत्यधिक शर्मिंदगी या असहजता महसूस करना)
• Example: His inappropriate remarks during the meeting made everyone's toes curl.

Therefore, the correct answer is: Option 3.

Additional Information

Here are the other options explained along with their Hindi meanings and example sentences:

• Option 1: To be and remain active, alert, and focused (सक्रिय, सतर्क और केंद्रित रहना):
• Example: The coach reminded the players to stay on their toes during the match.
• Option 2: To insult, offend, or upset someone, especially by involving oneself in that which is someone else's responsibility (किसी का अपमान करना या उसे परेशान करना):
• Example: He stepped on her toes by criticizing her project in front of the team.
• Option 4: To tentatively begin or get involved in a new experience (एक नई अनुभव में संलग्न होना या शुरुआत करना):
• Example: She dipped her toes into the world of entrepreneurship by starting a small online store.

The correct answer is option 4.

Key Points

The correctly spelt word is 'Embarrassment'.

• Embarrassment is a noun which refers to a feeling of self-consciousness, shame, or awkwardness. (शर्मिंदगी / घबराहट)
• The spelling of this word is tricky because it contains double 'r' and double 's'.
• • For Example -
• To her intense embarrassment, she realized she had forgotten his name.

Therefore, the correct spelling is 'Embarrassment'.

Additional Information

Let's break down the errors in the other options:

• Embarasment - Incorrect because it is missing the second 'r' and the second 's'.
• Embarrasment - Incorrect because it is missing the second 's'.
• Embarassment - Incorrect because it is missing the second 'r'.

The correct answer is option 1.

Key Points

• The given word "laconec" is misspelled.
• The correct spelling is "laconic." This word is an adjective that means "using very few words; concise or terse." (संक्षिप्त)
• The sentence implies that the interviewer was frustrated because the response was very brief and lacked elaboration.

Correct sentence: His laconic response to the detailed question frustrated the interviewer, who expected more elaboration.

Additional Information

• Let’s understand the meanings of incorrect options:
• Lakonic: Incorrect spelling; it does not exist in English.
• Lacounic: Incorrect spelling; it does not exist in English.
• No replacement required: This option is incorrect because the word "laconec" is misspelled in the original sentence.

The correct answer is option 2.

Key Points

• The misspelled word in the given sentence is 'prudance'.
• The correct spelling is 'prudence'.
• 'Prudence' is a noun that means cautiousness or the quality of being prudent, especially in financial matters. (सावधानी)

Correct sentence: The central bank stressed the importance of prudence in fiscal policy to maintain stability and avoid unnecessary pressure on the national currency.

Additional Information

Let’s understand the meanings of the other marked words:

• Stressed: Emphasized the importance of something (जोर दिया).
• Fiscal: Relating to government revenue, especially taxes (राजकोषीय).
• Currency: A system of money in general use in a particular country (मुद्रा).

The correct answer is option 1.

Key Points

The misspelled word is 'Critisism'.

• The correct spelling would be 'Criticism'.
• The word 'Criticism' is a noun which means 'the expression of disapproval of someone or something based on perceived faults or mistakes'. (आलोचना)
• For Example -
• The book received a lot of criticism for its controversial content.

Therefore, the correct answer would be 'Critisism'.

Additional Information

Let's understand the meanings of the other marked words - 

• Optimism - hopefulness and confidence about the future or the successful outcome of something (आशावाद)
• Pessimism - a tendency to see the worst aspect of things or believe that the worst will happen (निराशावाद)
• Egotism - the practice of talking and thinking about oneself excessively because of an undue sense of self-importance (अहंकार)

The correct answer is: Uncomfortable.

Key Points

• The word "cosy" means warm, comfortable, and pleasant, often referring to a small and peaceful space. (आरामदायक)
• Example: The room was cosy, with soft lighting and comfortable furniture.
• "Uncomfortable" refers to a state of unease or lack of comfort, either physically or emotionally. (असुविधाजनक)
• Example: The hard wooden chair made sitting for long hours very uncomfortable.
• Hence, we can infer that the opposite of 'cosy' is 'uncomfortable'.

Therefore, the correct answer is: Uncomfortable.

Additional Information

Here are the other options explained along with their Hindi meanings and example sentences:

• Homely (सादगीपूर्ण): Refers to simple, comfortable, and familiar surroundings, often linked to a homey atmosphere.
• Example: The restaurant has a homely feel, with simple decor and a friendly vibe.
• Comfortable (आरामदेह): Refers to physical ease and relaxation.
• Example: The sofa is so comfortable that I could sit on it all day.
• Snug (गर्म और आरामदायक): Refers to being warm, secure, and tightly fitting.
• Example: She wore a snug sweater to keep herself warm during the winter.

The correct answer is: Stop.

Key Points

• The word "Go on" means to continue or proceed with an activity or action. (जारी रखना)
• Example: She asked him to go on with his story despite the interruptions.
• "Stop" refers to ceasing or discontinuing an activity or action. It is the antonym of "Go on." (रुकना)
• Example: The bus stopped at the station to let passengers get on.
• Hence, we can infer that the opposite of "Go on" is "Stop".

Therefore, the correct answer is: Stop.

Additional Information

Here are the other options explained along with their Hindi meanings and example sentences:

• Proceed (आगे बढ़ना): To move forward or continue after a pause or interruption.
• Example: After the rain stopped, we proceeded with our hike.
• Continue (जारी रखना): To persist in an activity without interruption.
• Example: She continued her studies despite facing challenges.
• Persist (दृढ़ रहना): To keep doing something despite difficulties or opposition.
• Example: He persisted in his efforts to complete the marathon despite the pain.

The correct answer is 'knight'.

Key Points

• The word "knight" refers to a medieval soldier who served a noble or king and often rode on horseback.
• The sentence refers to a haunted castle, suggesting that the context involves historical or mythical elements, which aligns with the term "knight."
• Options 1 (night), 3 (nigh), and 4 (knit) do not fit the meaning or context of the sentence.