SSC MTS 2025 Official Paper (Held On: 10 Feb, 2026 Shift 1) (Previous Year Paper)

Shortcut Trick

Solve using the BODMAS rule by grouping terms.

91 − 49 + 84 − (48) + 76

Sum of positive terms: 91 + 84 + 76 = 251

Sum of negative terms: − (49 + 48) = − 97

Final Value: 251 − 97 = 154

∴ The correct answer is 154.

Alternate Method

Given Expression: 91 − 49 + 84 − (27 + 21) + 38 × 2

Formula Used: BODMAS (Bracket, Of, Division, Multiplication, Addition, Subtraction)

⇒ 91 − 49 + 84 − 48 + 38 × 2 (Solving the Bracket 27 + 21 = 48)

⇒ 91 − 49 + 84 − 48 + 76 (Solving Multiplication 38 × 2 = 76)

⇒ 175 + 76 − 49 − 48 (Grouping terms for Addition)

⇒ 251 − 97 (Performing final Subtraction)

⇒ 154

∴ The correct answer is 154.

Additional Information

BODMAS Rule

It defines the precedence of operators: Brackets (), Of (powers/roots), Division (÷), Multiplication (×), Addition (+), and Subtraction (−).

Grouping Property

In multi-step Simplification, adding all positive numbers and all negative numbers separately before the final subtraction reduces calculation errors.

Multiplication Shortcut

To multiply by 2 (like 38 × 2), use doubling: 30 × 2 + 8 × 2 = 60 + 16 = 76.

Shortcut Trick

Apply the BODMAS rule by solving Brackets first, then Division, and finally Addition/Subtraction.

84 + 47 − 23 + 19 + 26 − 39

⇒ 131 − 23 + 19 + 26 − 39 = 114

∴ The correct answer is 114.

Alternate Method

Given: 84 + 47 − 23 + 19 ÷ 1 + (26 × 1) − 39

Formula Used: BODMAS (Bracket, Of, Division, Multiplication, Addition, Subtraction)

⇒ Solve Bracket: 26 × 1 = 26

⇒ Solve Division: 19 ÷ 1 = 19

⇒ The expression becomes: 84 + 47 − 23 + 19 + 26 − 39

⇒ Perform Addition: (84 + 47 + 19 + 26) − 23 − 39

⇒ 176 − 23 − 39

⇒ Perform Subtraction: 176 − 62 = 114

∴ The correct answer is 114.

Additional Information

BODMAS Rule

It stands for Bracket ((), {}, []), Of (powers/roots), Division (÷), Multiplication (×), Addition (+), and Subtraction (−). Solve in this specific order to get the correct result.

Order of Precedence

If operators of the same level (like + and − or × and ÷) are present, solve from left to right.

Division by One

Any number divided by 1 remains unchanged (n ÷ 1 = n).

Shortcut Trick

Ratio of Profit share of X to Y = 80 : 100 = 4 : 5.

Since time periods for X and Y are equal (12 months), Investment X : Y = 4 : 5 ⇒ Y = 20,000 × (5/4) = ₹25,000.

Combined profit (X+Y) = 135% of W ⇒ (Investment X + Investment Y) × 12 = 1.35 × (Investment W × 10).

(20,000 + 25,000) × 12 = 13.5 × Investment W ⇒ 540,000 = 13.5 × Investment W ⇒ W = ₹40,000.

Sum of initial investment of W and Y = 40,000 + 25,000 = ₹65,000.

∴ The correct answer is ₹65000.

Alternate Method

Given: Investments of W, X, and Y are ₹4a, ₹20,000, and ₹5b respectively. Time for W = 10 months; Time for X and Y = 12 months.

Formula: Profit Share = Investment × Time

Step 1: Find investment of Y (5b)

⇒ Profit of X = 0.8 × Profit of Y

⇒ 20,000 × 12 = 0.8 × (5b × 12)

⇒ 240,000 = 48b

⇒ b = 240,000 ÷ 48 = 5,000

⇒ Initial investment of Y (5b) = 5 × 5,000 = ₹25,000

Step 2: Find investment of W (4a)

⇒ Profit of X + Profit of Y = 1.35 × Profit of W

⇒ (20,000 × 12) + (25,000 × 12) = 1.35 × (4a × 10)

⇒ 240,000 + 300,000 = 1.35 × 40a

⇒ 540,000 = 54a

⇒ a = 10,000

⇒ Initial investment of W (4a) = 4 × 10,000 = ₹40,000

Step 3: Sum of initial investments

⇒ Sum = 4a + 5b = 40,000 + 25,000 = ₹65,000

∴ The correct answer is ₹65000.

Additional Information

Partnership Profit Ratio

Profit shared between partners is directly proportional to the product of their capital investment and the time duration of investment: P₁ : P₂ = (C₁ × T₁) : (C₂ × T₂).

Equal Time Period Rule

If the time period for all partners is the same, the profit ratio is simply equal to the investment ratio.

Working vs. Sleeping Partner

A working partner may receive an additional salary or percentage of profit for management before the remaining profit is distributed according to the investment ratio.

Shortcut Trick

Initial Sugar content = (5 ÷ 6) × 60 = 50 litres.

Sugar in 12 litres replaced = (5 ÷ 6) × 12 = 10 litres.

Final Sugar = 50 − 10 = 40 litres.

Final Water = Total Volume − Sugar = 60 − 40 = 20 litres.

New Ratio (Sugar : Water) = 40 : 20 = 2 : 1.

∴ The correct answer is 2:1.

Alternate Method

Given: Total volume = 60 L, Initial ratio = 5 : 1, Quantity replaced = 12 L.

⇒ Total parts in ratio = 5 + 1 = 6 units.

⇒ Sugar in 60 L = (5 ÷ 6) × 60 = 50 L.

⇒ Water in 60 L = (1 ÷ 6) × 60 = 10 L.

⇒ Sugar removed in 12 L = (5 ÷ 6) × 12 = 10 L.

⇒ Water removed in 12 L = (1 ÷ 6) × 12 = 2 L.

⇒ Sugar remaining = 50 − 10 = 40 L.

⇒ Water remaining after removal = 10 − 2 = 8 L.

⇒ New water after addition = 8 + 12 = 20 L.

⇒ New Sugar : Water = 40 : 20 = 2 : 1.

∴ The correct answer is 2:1.

Additional Information

Mixture Replacement Formula

When a quantity is replaced, the final concentration of the initial component is: C_final = C_initial × [1 − (x ÷ V)]ⁿ, where x is replacement volume, V is total volume, and n is number of operations.

Ratio Distribution Rule

When a part of a mixture is removed, the ratio of components in the removed part and the remaining part remains the same as the initial ratio.

Alligation Cross Method

Used to find the ratio in which two ingredients are mixed to get a desired mean price or concentration: (Quantity 1 ÷ Quantity 2) = (Cheaper CP − Mean CP) ÷ (Mean CP − Dearer CP).

Shortcut Trick

Weighted Average Cost Price (CP) = [(30 × 3) + (50 × 2)] ÷ (3 + 2)

CP = (90 + 100) ÷ 5 = 190 ÷ 5 = ₹38/kg

Required SP for 25% profit = 38 × 1.25 = ₹47.50

∴ The correct answer is ₹47.50.

Alternate Method

Given:

Price of Sugar₁ = ₹30/kg

Price of Sugar₂ = ₹50/kg

Mixing Ratio = 3 : 2

Desired Profit = 25%

Formula:

Mean Price (CP) = (Price₁ × Weight₁ + Price₂ × Weight₂) ÷ (Weight₁ + Weight₂)

Selling Price (SP) = CP × (100 + Profit%) ÷ 100

⇒ Total Weight = 3 + 2 = 5 kg

⇒ Total Cost Price = (30 × 3) + (50 × 2) = 90 + 100 = ₹190

⇒ Mean CP per kg = 190 ÷ 5 = ₹38

⇒ Selling Price (SP) = 38 × (125 ÷ 100)

⇒ SP = 38 × 1.25 = ₹47.50

∴ The correct answer is ₹47.50.

Additional Information

Rule of Alligation

It states that (Quantity of Cheaper) ÷ (Quantity of Dearer) = (Price of Dearer − Mean Price) ÷ (Mean Price − Price of Cheaper).

Weighted Average Formula

The mean value X_avg of a mixture is given by (n₁x₁ + n₂x₂ + ... + n_nx_n) ÷ (n₁ + n₂ + ... + n_n).

Profit Percentage

SP = CP × [ (100 + Gain%) ÷ 100 ]. Conversely, CP = [ SP × 100 ] ÷ (100 + Gain%).

Shortcut Trick

Total Percentage = 100%

Failed Percentage = 100% − 67% = 33%

According to the question, 33% = 165

Total Candidates (100%) = (165 ÷ 33) × 100 = 5 × 100 = 500

∴ The correct answer is 500 candidates.

Alternate Method

Given:

Percentage of candidates passed = 67%

Number of candidates failed = 165

Formula Used:

Total Candidates = (Number of Failures ÷ Percentage of Failures) × 100

Calculations:

⇒ Let the total number of candidates be x.

⇒ Percentage of failed candidates = 100% − 67% = 33%

⇒ Number of failed candidates = 33% of x = 165

⇒ (33 ÷ 100) × x = 165

⇒ x = (165 × 100) ÷ 33

⇒ x = 5 × 100 = 500

∴ The correct answer is 500 candidates.

Additional Information

Percentage Base Rule

In any population or set, the total quantity is always considered as 100%. The sum of all individual percentage components must equal 100%.

Fraction to Percentage Conversion

To convert a fraction to a percentage, multiply by 100. Example: 1/4 = (1/4 × 100)% = 25%.

Successive Percentage Change

If a value is changed by a% and then by b%, the net change is [a + b + (ab ÷ 100)]%.

Shortcut Trick

Since the male and female populations are equal (50% each), the total literacy rate is the simple average of the male and female literacy rates.

Let the literacy rate of females be x%.

Total Literacy % = (Male Literacy % + Female Literacy %) ÷ 2

45% = (35% + x%) ÷ 2

35 + x = 90 ⇒ x = 55%

∴ The correct answer is 55%.

Alternate Method

Given: Total population = 75,000 | Males = 50% | Literate Males = 35% of males | Total literacy = 45%

Formula: Literate Females = Total Literate Population − Literate Males

⇒ Total Literate Population = 45% of 75,000 = 0.45 × 75,000 = 33,750

⇒ Male Population = 50% of 75,000 = 37,500

⇒ Female Population = 75,000 − 37,500 = 37,500

⇒ Literate Males = 35% of 37,500 = 0.35 × 37,500 = 13,125

⇒ Literate Females = 33,750 − 13,125 = 20,625

⇒ Percentage of Literate Females = (20,625 ÷ 37,500) × 100

⇒ Percentage of Literate Females = 0.55 × 100 = 55%

∴ The correct answer is 55%.

Additional Information

Weighted Average Formula

Used when two groups are combined: Average_Total = (n₁x₁ + n₂x₂) ÷ (n₁ + n₂), where n is quantity and x is rate.

Percentage Change

Percentage = (Part ÷ Whole) × 100. Always ensure the denominator is the base value specified in the question.

Alligation Method

A visual tool to solve weighted averages: Ratio of quantities = (Higher rate − Mean rate) : (Mean rate − Lower rate).

Shortcut Trick

Effective Simple Interest % = Rate × Time = 7% × 2 = 14%

Interest amount = 14% of ₹10,500 = 14 × 105 = ₹1,470

Total amount to repay = Principal + Interest + Processing Fee

Total amount = ₹10,500 + ₹1,470 + ₹525 = ₹12,495

∴ The correct answer is ₹12,495.

Alternate Method

Given:

Principal (P) = ₹10,500

Rate (R) = 7% p.a.

Time (T) = 2 years

Processing Fee = ₹525

Formula Used:

Simple Interest (SI) = (P × R × T) ÷ 100

Total Amount = Principal + SI + Other Fees

Calculations:

⇒ SI = (10500 × 7 × 2) ÷ 100

⇒ SI = 105 × 14

⇒ SI = ₹1,470

⇒ Repayment Amount = Principal + SI

⇒ Repayment Amount = ₹10,500 + ₹1,470 = ₹11,970

⇒ Total Payment including Fee = ₹11,970 + ₹525

⇒ Total Payment = ₹12,495

∴ The correct answer is ₹12,495.

Additional Information

Total Repayment with Extra Charges

Total Payback = P + (P × R × T)/100 + Service Charges. Extra fees are always added to the final amount.

Effective Rate of Simple Interest

The total percentage of interest accrued is R × T. Amount becomes (100 + RT)% of the principal.

Simple Interest vs Compound Interest

For 2 years, the difference between CI and SI is P(R/100)². In SI, interest is only calculated on the principal.

Shortcut Trick

The relation √(a² + b²) = c represents a Pythagorean triplet a, b, c.

The standard triplet ratio is 3 : 4 : 5.

Given values: 15 and 25 are multiples of 3 and 5 (3 × 5 = 15 and 5 × 5 = 25).

The missing part of the ratio is 4. ∴ Other number = 4 × 5 = 20.

∴ The correct answer is 20.

Alternate Method

Given: One number = 15, Square root of sum of squares = 25

Formula: √(x² + y²) = z ⇒ x² + y² = z²

⇒ √(15² + x²) = 25

⇒ 15² + x² = 25²

⇒ 225 + x² = 625

⇒ x² = 625 − 225

⇒ x² = 400

⇒ x = √400 = 20

∴ The correct answer is 20.

Additional Information

Pythagorean Triplets

Sets of three positive integers a, b, and c such that a² + b² = c². Examples: (3, 4, 5), (5, 12, 13), (8, 15, 17), (7, 24, 25).

Squares and Square Roots

Calculating the square root is the inverse operation of squaring a number. √x² = x for any positive number x.

Hypotenuse Property

In any right-angled triangle, the hypotenuse is the longest side and is opposite the 90° angle.

Shortcut Trick

Estimate the root: 100² = 10000 and 110² = 12100.

Check squares near 100: 103² = 10609 and 104² = 10816.

The next perfect square after 10724 is 10816.

Number to be added = 10816 − 10724 = 92.

Square root of 10816 = 104.

∴ The correct answer is 92, 104.

Alternate Method

Given: Number = 10724

Formula Used: Square of a number (a + b)² = a² + 2ab + b²

⇒ Identify base square: 100² = 10000

⇒ Since 10724 > 10000, we calculate 104² = (100 + 4)²

⇒ 104² = 10000 + (2 × 100 × 4) + 4² = 10000 + 800 + 16 = 10816

⇒ Value to be added = 10816 − 10724 = 92

⇒ Resulting square root = √10816 = 104

∴ The correct answer is 92, 104.

Additional Information

Last Digit of Perfect Squares

A perfect square always ends in the digits 0, 1, 4, 5, 6, or 9. Numbers ending in 2, 3, 7, or 8 cannot be perfect squares.

Difference Between Consecutive Squares

The difference between the squares of two consecutive integers n and (n+1) is given by (n + 1)² − n² = 2n + 1.

Square Root Approximation

For a number x, the square root can be estimated using the nearest perfect square n² as √x ≈ n + (x − n²) ÷ 2n.

Shortcut Trick

Check the difference between the denominator (D) and the numerator (N).

For 11/12, 17/18, and 23/24, the difference (D − N) is 1.

When the difference is constant, the fraction with the largest numerator is the largest.

Comparing 23/24 and 21/24, since denominators are the same, 23/24 is clearly larger.

Among 11/12, 17/18, and 23/24, the largest numerator is 23.

∴ The correct answer is 23/24.

Alternate Method

Given fractions: 11/12, 17/18, 23/24, 21/24

To compare these fractions, find the LCM of the denominators: 12, 18, and 24.

⇒ LCM(12, 18, 24) = 72

⇒ 11/12 = (11 × 6) / (12 × 6) = 66/72

⇒ 17/18 = (17 × 4) / (18 × 4) = 68/72

⇒ 23/24 = (23 × 3) / (24 × 3) = 69/72

⇒ 21/24 = (21 × 3) / (24 × 3) = 63/72

⇒ Comparing numerators: 69 > 68 > 66 > 63

⇒ The largest fraction is 69/72, which corresponds to 23/24.

∴ The correct answer is 23/24.

Additional Information

Comparison of Like Fractions

When denominators are the same, the fraction with the larger numerator is larger. For example, 23/24 > 21/24.

Proper Fractions Rule

For proper fractions, if the difference between the denominator and numerator is constant, the fraction with the highest values of N and D is the largest.

Cross-Multiplication Method

To compare a/b and c/d, check (a × d) vs (b × c). If ad > bc, then a/b > c/d.

Decimal Conversion

Fractions can be compared by converting them to decimals: 23/24 ≈ 0.958, 17/18 ≈ 0.944, 11/12 ≈ 0.916.

Shortcut Trick

Perform decimal division by shifting decimals to the right.

0.12 ÷ 0.3 = 1.2 ÷ 3 = 0.4

0.015 ÷ 0.5 = 0.15 ÷ 5 = 0.03

Calculation: 0.40 − 0.03 = 0.37

∴ The correct answer is 0.37.

Alternate Method

Given: Expression = (0.12 ÷ 0.3) − (0.015 ÷ 0.5)

Formula: Convert decimals to fractions where a ÷ b = (a × 10ⁿ) ÷ (b × 10ⁿ)

⇒ [(12/100) ÷ (3/10)] − [(15/1000) ÷ (5/10)]

⇒ [(12/100) × (10/3)] − [(15/1000) × (10/5)]

⇒ (4/10) − (3/100)

⇒ 0.4 − 0.03

⇒ 0.37

∴ The correct answer is 0.37.

Additional Information

BODMAS Rule

Always solve expressions in the order of Brackets, Orders (powers/roots), Division, Multiplication, Addition, and Subtraction.

Decimal Division

To divide by a decimal, move the decimal point in both the dividend and divisor to the right until the divisor is a whole number.

Subtraction of Decimals

Align the decimal points vertically and add placeholder zeros if the numbers have a different number of decimal places.

Shortcut Trick

Identify prime factors of the given product 21.

21 = 3 × 7

Check if factors are prime: 3 and 7 are both prime numbers.

Sum = 3 + 7 = 10.

∴ The correct answer is 10.

Alternate Method

Given:

Product of two prime numbers = 21

Calculations:

⇒ List all pairs of numbers whose product is 21: (1, 21) and (3, 7).

⇒ In the pair (1, 21), 1 is not a prime number and 21 is a composite number.

⇒ In the pair (3, 7), both 3 and 7 are prime numbers.

⇒ Sum of these two prime numbers = 3 + 7

⇒ Sum = 10

∴ The correct answer is 10.

Additional Information

Definition of Prime Numbers

A prime number is a natural number greater than 1 that has exactly two distinct positive divisors: 1 and itself (e.g., 2, 3, 5, 7, 11...).

Smallest Prime Number

The number 2 is the smallest prime number and the only even prime number.

Composite Numbers

A composite number is a positive integer greater than 1 that has at least one divisor other than 1 and itself (e.g., 4, 6, 8, 9, 21...).

Number 1 Property

The number 1 is neither prime nor composite as it has only one factor.

Shortcut Trick

Test the options to find which value satisfies the equation x + x³ = 68.

Checking x = 4: 4 + 4³ = 4 + 64 = 68.

The condition is satisfied for x = 4.

∴ The correct answer is 4.

Alternate Method

Given: Sum of a positive number and its cube = 68.

Formula: Let the number be x, then the equation is x + x³ = 68.

⇒ x + x³ = 68

⇒ x(1 + x²) = 68

⇒ Factoring 68 into two parts such that one part is slightly more than the square of the other.

⇒ 68 = 4 × 17

⇒ x(1 + x²) = 4 × (1 + 16)

⇒ x(1 + x²) = 4 × (1 + 4²)

⇒ By comparing both sides, x = 4.

∴ The correct answer is 4.

Additional Information

Roots of Cubic Equations

A cubic equation ax³ + bx² + cx + d = 0 can have at most three real roots. For x³ + x − 68 = 0, x = 4 is the only real positive root.

Perfect Cubes

Knowing common cubes helps in solving such problems quickly: 1³ = 1, 2³ = 8, 3³ = 27, 4³ = 64, 5³ = 125.

Factorization Method

If x is an integer root of a polynomial, it must be a factor of the constant term (here, 68). Factors of 68 are 1, 2, 4, 17, 34, 68.

Shortcut Trick

Use the algebraic identity: (a + b)² − 4ab = (a − b)²

Here, a = 46 and b = 38.

The expression becomes √((46 − 38)²) = 46 − 38.

Value = 8.

∴ The correct answer is 8.

Alternate Method

Given: √((46 + 38)² − 4 × 46 × 38)

Formula used: (a + b)² − 4ab = (a − b)²

⇒ √((84)² − 4 × 1748)

⇒ √(7056 − 6992)

⇒ √64

⇒ 8

∴ The correct answer is 8.

Additional Information

Square of Difference Identity

The formula (a − b)² = a² − 2ab + b² is used to calculate the square of the subtraction of two numbers.

Algebraic Relation

(a + b)² − (a − b)² = 4ab is an identity relating the sum, the difference, and the product of two variables.

Square of Sum Identity

The formula (a + b)² = a² + 2ab + b² represents the expansion of the square of a binomial sum.

Shortcut Trick

Quickly check divisibility by 4: Only even numbers are divisible by 4. Since 1265 is odd, it is not divisible by 4.

Now check 1265 for divisibility by 3: Sum of digits = 1 + 2 + 6 + 5 = 14.

Since 14 is not divisible by 3, 1265 is neither divisible by 3 nor by 4.

∴ The correct answer is 1265.

Alternate Method

Given: Numbers 1272, 1236, 3420, 1265.

Divisibility Rules: For 3, the sum of digits must be divisible by 3. For 4, the last two digits must be divisible by 4.

⇒ Testing 1272: Sum = 1+2+7+2 = 12 (divisible by 3) and last two digits = 72 (divisible by 4).

⇒ Testing 1236: Sum = 1+2+3+6 = 12 (divisible by 3) and last two digits = 36 (divisible by 4).

⇒ Testing 3420: Sum = 3+4+2+0 = 9 (divisible by 3) and last two digits = 20 (divisible by 4).

⇒ Testing 1265: Sum = 1+2+6+5 = 14 (not divisible by 3) and last two digits = 65 (not divisible by 4).

⇒ Among the given options, only 1265 fails both divisibility tests.

∴ The correct answer is 1265.

Additional Information

Divisibility by 3

A number is divisible by 3 if the sum of its individual digits is a multiple of 3 (e.g., 123 → 1+2+3 = 6).

Divisibility by 4

A number is divisible by 4 if its last two digits form a number that is divisible by 4 or if the last two digits are 00.

Divisibility by 12

A number is divisible by 12 if and only if it is divisible by both 3 and 4 simultaneously.

Divisibility by 6

A number is divisible by 6 if it is an even number and the sum of its digits is divisible by 3.

Shortcut Trick

Sum of known numbers = 34 + 46 + 22 + 55 + 25 = 182

Sum of X and Y = Average × 2 = 17.5 × 2 = 35

Total sum of 7 numbers = 182 + 35 = 217

Average of 7 numbers = 217 ÷ 7 = 31

∴ The correct answer is 31.

Alternate Method

Given: Numbers are 34, 46, X, 22, 55, 25, Y. Average of X and Y = 17.5.

Formula Used: Sum of observations = Average × Number of observations

⇒ Sum of (X + Y) = 17.5 × 2 = 35

⇒ Total Sum = 34 + 46 + 22 + 55 + 25 + (X + Y)

⇒ Total Sum = 182 + 35 = 217

⇒ Required Average = Total Sum ÷ 7

⇒ Required Average = 217 ÷ 7 = 31

∴ The correct answer is 31.

Additional Information

Sum of Observations

The basic relationship in average problems is: Total Sum = Average × Number of terms.

Weighted Average

When two groups with averages A₁ and A₂ and sizes n₁ and n₂ are combined, the new average is (n₁A₁ + n₂A₂) ÷ (n₁ + n₂).

Arithmetic Progression Average

For numbers in an AP (equal gaps), the average is simply (First term + Last term) ÷ 2.

Shortcut Trick

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

Given n = 25

Sum = (25 × 26 × 51) ÷ 6

Sum = 25 × 13 × 17 = 5525

∴ The correct answer is 5525.

Alternate Method

Given expression: 1² + 2² + 3² + ... + 25²

This is the sum of the squares of the first 25 natural numbers.

Formula: Σn² = [n(n + 1)(2n + 1)] ÷ 6

⇒ n = 25

⇒ Sum = [25 × (25 + 1) × (2 × 25 + 1)] ÷ 6

⇒ Sum = (25 × 26 × 51) ÷ 6

⇒ Sum = (25 × 13 × 51) ÷ 3

⇒ Sum = 25 × 13 × 17

⇒ Sum = 325 × 17

⇒ Sum = 5525

∴ The correct answer is 5525.

Additional Information

Sum of first n natural numbers

The sum of 1 + 2 + 3 + ... + n is given by the formula [n(n + 1)] ÷ 2.

Sum of cubes of first n natural numbers

The sum of 1³ + 2³ + 3³ + ... + n³ is given by [[n(n + 1)] ÷ 2]².

Sum of first n odd natural numbers

The sum of 1 + 3 + 5 + ... up to n terms is equal to n².

Shortcut Trick

For consecutive numbers, the average is the middle term.

Middle of all 19 terms is the 10^th term.

Last 7 terms are from 13^th to 19^th, so their middle is the 16^th term.

Given: 16^th term = 25.

Average of all = 10^th term = 16^th term − (16 − 10) = 25 − 6 = 19.

∴ The correct answer is 19.

Alternate Method

Given:

Number of terms (n) = 19 consecutive natural numbers.

Average of last 7 numbers = 25.

Calculations:

⇒ Let the consecutive natural numbers be x, x+1, x+2, ..., x+18.

⇒ Average of any AP = Middle term (if n is odd).

⇒ Average of all 19 terms = Middle term = ((1 + 19) ÷ 2)^th term = 10^th term.

⇒ Last 7 terms are x+12, x+13, x+14, x+15, x+16, x+17, x+18 (i.e., 13^th to 19^th terms).

⇒ Average of last 7 terms = Middle of 13^th and 19^th = ((13 + 19) ÷ 2)^th term = 16^th term.

⇒ Given, 16^th term = 25.

⇒ 10^th term = 16^th term − 6 = 25 − 6 = 19.

∴ The correct answer is 19.

Additional Information

Average of an Arithmetic Progression (AP)

For any sequence in AP, the average is always equal to (First Term + Last Term) ÷ 2.

Middle Term Property

If there are n terms in a consecutive series and n is odd, the average is the ((n+1)/2)^th term. If n is even, it is the average of the two middle terms.

Consecutive Natural Numbers

The difference between any two consecutive natural numbers is always 1. Thus, the n^th term = 1^st term + (n − 1).

Shortcut Trick

For any sequence of consecutive numbers, the average is always the middle term.

Average of an Arithmetic Progression (AP) = (Smallest number + Largest number) ÷ 2

Given Average = A

Sum of smallest and largest = 2 × Average = 2A

∴ The correct answer is 2A.

Alternate Method

Given:

Number of consecutive natural numbers = 11

Average = A

Formula Used:

Average of n consecutive numbers = (First term + Last term) ÷ 2

Calculations:

⇒ Let the 11 consecutive natural numbers be x, x+1, x+2, ..., x+10.

⇒ Smallest number = x

⇒ Largest number = x + 10

⇒ Average = (x + x + 10) ÷ 2

⇒ A = (2x + 10) ÷ 2

⇒ A = x + 5

⇒ x = A − 5

⇒ Smallest number = A − 5

⇒ Largest number = (A − 5) + 10 = A + 5

⇒ Sum of smallest and largest = (A − 5) + (A + 5)

⇒ Sum = 2A

∴ The correct answer is 2A.

Additional Information

Average of Arithmetic Progression

For any series in AP, the average is always the middle term if the number of terms is odd, or the mean of the two middle terms if even.

Sum of First n Natural Numbers

The sum of the first n natural numbers is given by S = n(n + 1) ÷ 2.

Middle Term Property

In any sequence of consecutive integers, the distance from the average to the smallest term is equal to the distance from the average to the largest term.

The position and positional values or English Alphabets are:

Given: D, H, N, ?, X, B, H, L, R

The logic followed here is:

Thus, R is the correct alternative from the given ones that will complete the series.

Hence, the correct answer is "Option 2".

The position and positional values or English Alphabets are:

Given: ? : TYS :: TKR : PGN :: MOE : IKA

The logic followed here is:

Similarly,

Thus, XCW is related to the second letter cluster in the same way as the third letter cluster is related to the fourth letter cluster and fifth letter cluster is related to sixth letter cluster.

Hence, the correct answer is "Option 2".

The position and positional values or English Alphabets are:

Given: TO, ?, ZT, CX, FC, II, LP, OX

The logic followed here is:

Thus, WQ is the missing term from the series.

Hence, the correct answer is "Option 1".

The position and positional values or English Alphabets are:

Given: RU, TW, XZ, ?, DE, FG, JJ, LL

The logic followed here is:

Thus, ZB is the correct alternative from the given ones that will complete the series.

Hence, the correct answer is "Option 4".

The position and positional values or English Alphabets are:

Given: 

(LS, FM, UN)

(UX, OR, LI)

Similarly,

2. (AO, UI, FR)

Thus, the set that follows the same logic is (AO, UI, FR).

Hence, the correct answer is "Option 2".

Given date: 9^th May 2022.

Now,

Till 2021 → 2000 + 21

 

In 21 years, 5 leap years and 16 ordinary years.

⇒ 0 + (5 × 2) + (16 × 1)

⇒ 10 + 16 = 26 odd days.

And, till 9^th May

⇒ 31(Jan) + 28(Feb) + 31(March) + 30(April) + 9(May)

⇒ 129 days

Total odd days = 26 + 129 = 155 days = 155/7 = 22 week and 1 odd day.

→ 1 represents Monday.

Code for Week days:

 

So, 9^th May 2022 was Monday.

Hence, the correct answer is "Option 4".

Given: A person was born on 19 April 2008.

His 22^nd birthday will be on:

19 April (2008 + 22) = 19 April 2030

Since the starting date is 19 April 2008, the leap day (February 29) of 2008 has already passed and is not counted. We count the leap years from 2008 to 2030:

Total number of leap years = 5 (2012, 2016, 2020, 2024, 2028)

Total Ordinary years = 22 - 5 = 17

Odd days = (Number of ordinary years + Number of leap years)

Odd days = 17 + (5 × 2) = 17 + 10 = 27 days

Convert days to weeks: 27 ÷ 7 = 3 weeks and 6 odd days.

In 22 years, 6 leap years and 16 ordinary years.

Calculation for 19 April 2008:

Odd days from 2001 to 2007 = 7 years + 1 leap year (2004) = 8 days → 1 odd day.

Odd days in 2008 (up to 19 April) = Jan (3) + Feb (1) + Mar (3) + Apr (19 days = 5) = 12 days → 5 odd days.

Total odd days = 1 + 5 = 6 (which corresponds to Saturday).

Day = Day of birth + Remainder of odd days

Day = Saturday + 6 days = Friday.

Thus, the day of the week on his 22^nd birthday will be Friday.

Hence, the correct option is "Option 2".

Given: 5 boys A, B, C, D and E are sitting in a row facing north (not necessarily in the same order).

1. C is in the middle of the row.
2. D and E are to the right of C.
3. A and B are to the left of C.
4. B and D are not at any ends of the row.

Thus, 3 boys are sitting to the left of D.

Hence, the correct answer is "Option 4".

Given: 7 women P, Q, R, S, T, U and V are sitting in a row facing south (not necessarily in the same order).

1. V is fifth to the left of P.
2. No one is to the right of P.
3. T is exactly in the middle of row.
4. U is fourth to the right of V.
5. Q is not to the right of V.
6. S is to the immediate left of T.

Thus, 3 women are sitting between R and Q.

Hence, the correct answer is "Option 3".

Given: 7 persons P, Q, R, S, T, W and A are sitting in a row facing north (not necessarily in the same order).

1. Only W and A are to the right of Q.
2. Number of persons to the left of R are same as number of persons to the right of Q.
3. P is third to the left of T. 4. W is to the left of A.

S, the only person left will occupy the vacant position.

Thus, if W is to the left of A, then 5 persons are sitting between P and A.

Hence, the correct answer is "Option 1".

The position and positional values or English Alphabets are:

Given: PQ190 : NM270 :: MN120 : ? :: ZV170 : XR250

The logic followed here is:

Similarly,

Thus, KJ200 is related to the third letter-number cluster in the same way as the second letter-number cluster is related to the first letter-number cluster and sixth letter-number cluster is related to fifth letter-number cluster.

Hence, the correct answer is "Option 3".

The position and positional values or English Alphabets are:

Given: MS246 : LR100 :: ? : KD400 :: TU846 : ST700

The logic followed here is:

Similarly,

Thus, LE546 is related to the fourth letter-number cluster in the same way as the first letter-number cluster is related to the second letter-number cluster and fifth letter-number cluster is related to sixth letter-number cluster.

Hence, the correct answer is "Option 2".

The logic followed here is:

First, let's analyze the letter transformation:

The relationship between the clusters is based on the alphabetical positions of the letters. In each pair, the letters of the second cluster are obtained by subtracting 3 from the positional values of the letters in the first cluster, but their order is rearranged.

For TFK89 : HCQ178

Rearranging the results (H, C, Q) gives the second cluster: HCQ.

For UZX63 : WUR126

Rearranging the results (W, U, R) gives the fourth cluster: WUR.

Similarly, let's find the input cluster for POI148:

 

Hence, the correct answer is "Option 2".

The logic followed here is:

Logic: Second number = First number + 39

9039 + 39 = 9078

3274 + 39 = 3313

Similarly,

6476 + 39 = 6515

Thus, the number related to 6476 is 6515.

Hence, the correct answer is "Option 1".

The logic followed here is:

Logic: Second number = First number + 41

4398 + 41 = 4439

8594 + 41 = 8635

Similarly,

1338 + 41 = 1379

Thus, the number related to 1338 is 1379.

Hence, the correct answer is "Option 1".

The logic followed here is:

Logic: Second number = First number × 3

22 × 3 = 66

47 × 3 = 141

Similarly,

32 × 3 = 96

Thus, the number related to 32 is 96.

Hence, the correct answer is "Option 3".

The position and positional values or English Alphabets are:

Given: In a certain code language, 'COVER' is coded as '18522153' and 'LOST' is coded as '20191512'. 

The logic followed here is:

Positional values in reverse order: 18, 5, 22, 15, 3

Code = 18522153

Positional values in reverse order: 20, 19, 15, 12

Code = 20191512

Similarly,

Positional values in reverse order: 25, 3, 14, 5, 7, 1

Code = 25314571

Thus, the code for 'AGENCY' is 25314571.

Hence, the correct answer is "Option 1".

The position and positional values or English Alphabets are:

Given: In a certain coded language 'ROGUE' is coded as 'USFRZ' and 'FIBRE' is coded as 'IMAOZ'. 

The logic followed here is:

Similarly,

Thus, 'LEACH' be coded as 'OIZZC' in the same code language.

Hence, the correct answer is "Option 3".

The position and positional values or English Alphabets are:

Given: MP233, HN340, CL447, XJ554, SH661, ME767

The logic followed here is:

Thus, ME767 is the wrong term from the given alternatives.

Hence, the correct answer is "Option 3".

The position and positional values or English Alphabets are:

Given: MSO250, IXU252, ECA254, AHG256, WMM258, RRR260

The logic followed here is:

Thus, RRR260 is the wrong term from the given alternatives.

Hence, the correct answer is "Option 3".

The correct answer is Both I and II.

Key Points

• Synthetic indicators are substances that are synthesized in the laboratory rather than being obtained from natural sources like plants. They are primarily used in acid-base titrations to determine the endpoint of a reaction.
• Methyl orange is a classic example of a synthetic indicator. It is a nitrogen-based azo dye that changes color based on the acidity of the medium. In acidic solutions, it turns red, while in basic solutions, it turns yellow. Hence, statement I is correct.
• Phenolphthalein is another very common synthetic indicator belonging to the phthalein family. It is widely used because of its sharp color change at a specific pH range. It remains colorless in acidic and neutral solutions but turns pink or magenta in basic solutions. Hence, statement II is correct.
• Both of these indicators are man-made chemicals designed to have high sensitivity to Hydrogen ion (H+) concentrations, making them more reliable for precise chemical analysis compared to some natural indicators.
• Therefore, both Methyl orange and Phenolphthalein are examples of synthetic indicators.

Additional Information

• Natural Indicators:
• These are substances found in nature, mostly in plants.
• Litmus: Extracted from Lichens, it is the most common natural indicator. It turns red in acidic and blue in basic solutions.
• Turmeric: It stays yellow in acidic solutions but turns reddish-brown in basic solutions.
• China Rose (Gudhal): It turns dark pink (magenta) in acidic solutions and green in basic solutions.
• Olfactory Indicators:
• These are substances whose odour changes in acidic or basic media.
• Examples include onion, clove oil, and vanilla essence. For instance, the smell of onion vanishes when added to a basic solution like Sodium Hydroxide.
• Universal Indicator:
• It is a mixture of several synthetic indicators that shows different colors at different pH values ranging from 0 to 14.
• It helps in determining not just if a substance is an acid or base, but also its strength.

Important Points

• pH Range of Methyl Orange: It typically changes color in the pH range of 3.1 to 4.4. Because it changes color in the acidic range, it is frequently used for titrations involving strong acids and weak bases.
• pH Range of Phenolphthalein: It changes color in the pH range of 8.2 to 10.0. This makes it ideal for titrations involving strong bases and strong acids or weak acids.
• Chemical Nature: Phenolphthalein is a weak acid itself, which dissociates in alkaline conditions to form a pink-colored ion. Methyl orange is a weak base.
• Safety: While common in labs, Phenolphthalein has been noted for laxative properties and potential carcinogenicity, leading to its removal from many over-the-counter medications in recent years.

The correct answer is 1973.

Key Points

• The Coal Mines Authority Limited (CMAL) was established by the Government of India in May 1973.
• It was set up with its headquarters located at Calcutta (now Kolkata) to function as a central authority for the management of non-coking coal mines.
• The formation of CMAL followed the Coal Mines (Taking Over of Management) Ordinance, which was promulgated in January 1973, leading to the nationalization of non-coking coal mines.
• The primary objective of creating CMAL was to ensure the scientific development of coal resources and to provide better working conditions and social security for the labor force.
• It played a transitional role in the Indian coal industry before the various wings of the industry were unified under a single holding company.

Additional Information

• Coal India Limited (CIL):
• In November 1975, the Government of India decided to merge CMAL and Bharat Coking Coal Limited (BCCL) to form Coal India Limited (CIL) as a formal holding company.
• Currently, Coal India Limited is a Maharatna Public Sector Undertaking and is the largest coal producer in the world.
• Phases of Nationalization:
• The nationalization of the coal industry in India occurred in two distinct phases. The first phase involved the nationalization of coking coal mines in 1971-72.
• The second phase involved the nationalization of non-coking coal mines in 1973, leading to the creation of CMAL.
• Bharat Coking Coal Limited (BCCL):
• BCCL was incorporated in January 1972 to operate the coking coal mines in the Jharia and Raniganj coalfields.
• It was later made a subsidiary of Coal India Limited in 1975.
• Ministry of Coal:
• The overall administration and policy-making for the coal sector in India are handled by the Ministry of Coal, which ensures the supply and distribution of coal to meet the energy demands of the nation.

Important Points

• Early History: Commercial coal mining in India began in 1774 when John Sumner and Suetonius Grant Heatly of the East India Company started operations in the Raniganj Coalfield.
• Energy Security: Coal is often referred to as "Black Diamond" because it is the most significant source of commercial energy in India, powering the majority of the country's thermal power plants.
• Geographical Distribution: The major coalfields in India are located in the states of Jharkhand, Odisha, Chhattisgarh, West Bengal, and Madhya Pradesh.
• The 1973 Act: The Coal Mines (Nationalisation) Act, 1973, provided the legal framework for the central government to acquire all rights and titles in relation to coal mines to ensure equitable distribution of resources.

The correct answer is Rajasthan.

Key Points

• Sambhar Salt Lake is situated in the state of Rajasthan, specifically spanning across the Jaipur, Nagaur, and Ajmer districts.
• It is recognized as India's largest inland salt lake and represents a classic example of an endorheic basin (a closed drainage basin that retains water and allows no outflow to other external bodies of water).
• The lake is elliptical in shape and is surrounded on all sides by the Aravalli Hills, which play a crucial role in its catchment area.
• It receives its water supply from several seasonal rivers, primarily the Mendha, Rupangarh, Khari, Khandela, Medtha, and Samod rivers.
• The surface area of the lake fluctuates significantly depending on the season, typically ranging from 190 to 230 square kilometers.

Additional Information

• Ecological Importance:
• In 1990, the Sambhar Lake was designated as a Ramsar Site (a wetland of international importance) due to its unique ecosystem.
• It is a vital wintering ground for thousands of migratory birds, most notably the Lesser Flamingos and Greater Flamingos, which migrate from Siberia and Northern Asia.
• Salt Industry:
• The lake is a major hub for salt production in India. The operations are largely managed by Sambhar Salts Ltd. (SSL), which is a joint venture between Hindustan Salts Ltd. and the Government of Rajasthan.
• Brine is extracted from the lake and processed in large salt pans to produce high-quality salt used for domestic and industrial purposes.
• Cultural and Historical Context:
• According to Hindu mythology, the lake was created by the goddess Shakambhari Devi. A temple dedicated to her is located on the shores of the lake.
• Historical records indicate that the lake was under the control of various dynasties, including the Chauhans and the Mughals, before the colonial era.
• Geographical Features:
• The salinity of the water varies from season to season. During the peak of summer, the water evaporates, leaving behind a vast white salt crust.
• The lake bed is situated at an elevation of approximately 360 meters above mean sea level.

Important Points

• Other Notable Lakes in Rajasthan:
• Pushkar Lake: A sacred lake in Ajmer district, famous for the Brahma temple.
• Nakki Lake: Located in Mount Abu, it is the only hill station lake in the state.
• Pichola Lake and Fateh Sagar Lake: Located in the "City of Lakes," Udaipur, these are iconic artificial freshwater lakes.
• Rajsamand Lake: Built by Maharana Raj Singh in the 17^th century, known for its marble embankments.
• State Geography:
• Rajasthan is the largest state in India by land area, characterized by the Thar Desert in the west and the Aravalli Range running through the center.
• The state shares international borders with Pakistan and national borders with Punjab, Haryana, Uttar Pradesh, Madhya Pradesh, and Gujarat.

The correct answer is distributary.

Key Points

• A distributary is a stream that branches off and flows away from a main river channel, a phenomenon typically occurring near the river mouth as it approaches a lake, sea, or ocean. Hence, option 1 is correct.
• As a river enters its Lower Course (also known as the Old Stage), the gradient of the land becomes extremely gentle. This leads to a significant decrease in the velocity of the flowing water.
• Because the speed decreases, the river loses its transporting power and begins to deposit its sediment load (silt, sand, and clay) on the riverbed.
• The accumulation of these deposits eventually chokes the main channel, forcing the river to break up into multiple smaller channels known as distributaries.
• This network of distributaries is a primary characteristic of delta formation, such as the Ganges-Brahmaputra Delta, which is the largest delta in the world.

Additional Information

• Tributary:
• A tributary is a freshwater stream or river that feeds into a larger "parent" river or a lake. Unlike a distributary, it adds volume to the main river.
• Tributaries are most common in the Upper Course and Middle Course of a river system. Hence, option 4 is incorrect.
• Levee:
• A levee is a natural or artificial embankment or wall that runs parallel to the banks of a river.
• Natural levees are formed during floods when the river overflows its banks and deposits coarse sediments immediately along the edge of the channel. Hence, option 2 is incorrect.
• Floodplain:
• A floodplain is the flat, low-lying area of land adjacent to a river that stretches from the banks of its channel to the base of the enclosing valley walls.
• It is formed by the lateral erosion of meanders and the deposition of fine alluvium during periodic flooding. Hence, option 3 is incorrect.
• Meander:
• As the river enters the plains, it twists and turns forming large bends known as meanders. Continuous erosion and deposition along the sides of the meander lead to the formation of ox-bow lakes over time.

Important Points

• The River Lifecycle:
• Upper Course: Characterized by high vertical erosion, V-shaped valleys, waterfalls, and gorges.
• Middle Course: The river starts lateral erosion, creating meanders and wider valleys as the discharge increases.
• Lower Course: Dominanted by deposition. Features include floodplains, ox-bow lakes, levees, distributaries, and deltas.
• Delta Types:
• Arcuate Delta: Fan-shaped (e.g., Nile River).
• Bird's Foot Delta: Resembles the claws of a bird (e.g., Mississippi River).
• Estuarine Delta: Formed in submerged river mouths (e.g., Seine River).

The correct answer is Xylem.

Key Points

• Tracheids are elongated, tube-like cells with thick, lignified walls and tapering ends that serve as the primary conducting elements of the Xylem.
• They are dead cells at maturity, meaning they lack protoplasm, which allows them to function efficiently as hollow tubes for water transport. Hence, option 1 is correct.
• The main function of tracheids is the conduction of water and minerals from the roots to various parts of the plant, such as the stem and leaves.
• In Pteridophytes and Gymnosperms, tracheids are the only water-conducting elements, whereas Angiosperms (flowering plants) possess both tracheids and vessels.
• Apart from conduction, the thick, lignified walls of tracheids provide significant mechanical support to the plant body, helping it stand upright.

Additional Information

• Xylem (Complex Permanent Tissue):
• The term Xylem was introduced by Carl Nägeli in 1858.
• It is composed of four distinct types of elements: Tracheids, Vessels, Xylem Parenchyma, and Xylem Fibers.
• Xylem Parenchyma is the only living component of the xylem and is responsible for storing food materials like starch and fats.
• Vessels are long cylindrical structures with perforated end walls, forming continuous channels for water flow, a characteristic feature of Angiosperms.
• Phloem:
• Phloem is responsible for the translocation of organic food (sucrose) from the leaves (source) to other parts of the plant (sink). Hence, option 2 is incorrect.
• It consists of Sieve tubes, Companion cells, Phloem parenchyma, and Phloem fibers.
• Unlike xylem, phloem transport is bidirectional, allowing nutrients to move both up and down the plant.

Important Points

• Cuticle:
• The Cuticle is a protective, waxy, and water-repellent layer covering the epidermis of leaves, young shoots, and other aerial plant organs. Hence, option 3 is incorrect.
• Its primary function is to minimize water loss through transpiration and protect the plant against pathogens and mechanical injury.
• Bark:
• Bark is a non-technical term used to describe all tissues outside the vascular cambium, including the secondary phloem, periderm, and phellogen. Hence, option 4 is incorrect.
• It forms during secondary growth in woody plants and acts as a protective outer covering against environmental stress and physical damage.
• Structural Differences:
• Tracheids possess pits (thin areas in the cell wall) through which water passes from cell to cell, whereas vessels have perforation plates at their ends for more rapid conduction.
• The presence of Lignin in tracheid walls is a crucial evolutionary adaptation that allowed plants to grow tall by providing structural rigidity.

The correct answer is Vasudeva.

Key Points

• Vasudeva Kanva was the founder of the Kanva dynasty, which succeeded the Shunga dynasty in Magadha.
• He ascended the throne in approximately 73 BCE (some historical sources suggest 75 BCE) after assassinating the last Shunga ruler, Devabhuti.
• Before becoming the king, Vasudeva served as the Amatya (minister) to Devabhuti; he took advantage of the king's incompetence and the declining power of the Shungas to establish his own rule.
• The Kanva dynasty was a Brahmanical dynasty that ruled over parts of eastern and central India from their capital at Pataliputra.
• The dynasty ruled for a relatively short period of about 45 years, during which time the central authority of Magadha continued to shrink in the face of rising regional powers.

Additional Information

• Pushyamitra Shunga:
• He was the founder of the Shunga dynasty in 185 BCE.
• He was the Senapati (commander-in-chief) of the last Mauryan emperor, Brihadratha, whom he assassinated during a military parade.
• His reign marked the revival of Brahmanism and the performance of Ashvamedha sacrifices.
• Agnimitra:
• He was the son of Pushyamitra Shunga and the second king of the Shunga dynasty.
• He is famously known as the hero of Kalidasa’s Sanskrit drama, Malavikagnimitra, which depicts his love for the princess Malavika.
• Kalashoka:
• He was a ruler of the Shishunaga dynasty, the son of Shishunaga.
• He is primarily remembered for convening the Second Buddhist Council at Vaishali in 383 BCE, roughly a century after the death of Gautama Buddha.
• End of the Kanva Dynasty:
• The last ruler of the Kanva dynasty was Susarman.
• According to the Puranas, the Kanvas were overthrown by the Andhras (identified with the Satavahana dynasty), specifically by the king Simuka, around 28 BCE.

Important Points

• Kings of the Kanva Dynasty: According to the Puranic lists, there were four kings in this dynasty: Vasudeva, Bhumimitra, Narayana, and Susarman.
• Territorial Reach: During the Kanva period, the vast Mauryan Empire had already fragmented. The Kanvas ruled a significantly reduced territory compared to their predecessors, with their influence mostly confined to the Magadha region.
• Political Context: The transition from Shunga to Kanva rule reflects the internal instability and the "palace revolution" style of succession prevalent in ancient Indian kingdoms during the Post-Mauryan era.

The correct answer is Nagaland.

Key Points

• The Kuki dance is a traditional folk dance performed by the Kuki tribe, primarily residing in the North East India state of Nagaland and surrounding regions.
• This dance form is a vital expression of the cultural identity and heritage of the Kuki people, who are one of the prominent ethnic groups in the Hilly regions of the North East.
• The performance is characterized by its rhythmic movements, synchronized footwork, and the use of traditional attire that includes hand-woven shawls, beaded jewelry, and tribal headgear.
• It is typically performed during significant social gatherings, community festivals, and harvest celebrations to express gratitude and joy.
• The accompaniment of music is usually provided by indigenous instruments such as drums, gongs, and bamboo flutes, which dictate the pace and energy of the dance.

Additional Information

• Nagaland Folk Dances:
• Nagaland is often referred to as the 'Land of Festivals', and each of its 16 major tribes has its own unique folk dances.
• Apart from the Kuki dance, other famous forms include the War Dance, Zeliang dance, and the Bamboo Dance (often associated with the Mizo but also performed by tribes in Nagaland).
• The Hornbill Festival, held annually in the first week of December, is a major event where all tribes showcase their traditional dances and music.
• Gujarat Folk Dances:
• Gujarat is world-renowned for its vibrant folk traditions, most notably Garba and Dandiya Raas, which are performed during the Navratri festival.
• Other forms include Bhavai (a folk theater/dance) and the Tippani dance, which originated among the laborers of the Saurashtra region.
• Karnataka Folk Dances:
• The state of Karnataka boasts a rich heritage of classical and folk forms. Yakshagana is a highly stylized dance-drama that combines music, elaborate costumes, and dialogue.
• Dollu Kunitha is a popular drum dance performed by the Kuruba community, while Hulivesha (Tiger Dance) is performed during Dasara and Krishna Janmashtami.
• Telangana Folk Dances:
• Telangana is home to the ancient Perini Shivatandavam, a powerful dance form that saw a revival in the 20^th century and dates back to the Kakatiya dynasty.
• Other folk dances include Lambadi, performed by the semi-nomadic Banjara tribes, and Dappu, which involves rhythmic steps to the beat of a handheld drum.
• Kuki Tribe Distribution:
• While the question focuses on Nagaland, the Kuki people are also found in significant numbers in Manipur, Mizoram, and Assam in India, as well as in parts of Myanmar and Bangladesh.
• Their culture is deeply rooted in nature and agrarian cycles, which is reflected in their varied dance forms like Saguiteh and Lammual.

The correct answer is Uttarakhand.

Key Points

• Chamfuli (also known as Chauphula) is a highly popular and traditional folk dance performed in the Garhwal region of Uttarakhand.
• This dance is distinct because it is performed by men and women in pairs, symbolizing the union of the masculine and feminine energies in nature.
• The performance typically takes place during the Basant Panchami festival, which marks the transition of seasons and celebrates the arrival of spring.
• The choreography involves dancers moving in circular formations, where the rhythm is maintained through hand clapping, foot-thumping, and the snapping of fingers.
• It is considered a "dance of joy" that reflects the beauty of the Himalayan landscape and the blooming of flowers in the Garhwal hills.

Additional Information

• Other Folk Dances of Uttarakhand:
• Chholiya Dance: Originating from the Kumaon region, this is a martial art dance performed with swords and shields. It is traditionally performed during wedding processions to ward off evil spirits.
• Jhora Dance: A community dance performed by people of all castes in Kumaon. Dancers hold hands and move in a circle, accompanied by the Hurka (a traditional drum).
• Langvir Nritya: An acrobatic dance performed exclusively by men in the Garhwal region, where a performer balances himself on the tip of a bamboo pole.
• Barada Nati: A popular folk dance of the Jaunsar-Bawar area in Dehradun district, usually performed during religious festivals and social gatherings.
• Dances of other mentioned States:
• Assam: Famous for the Bihu dance, which is a celebration of the harvest and the Assamese New Year. Other dances include Sattriya (a classical dance) and Bagurumba.
• Lakshadweep: Notable for Lava, Kolkali, and Parichakali. The Lava dance is particularly famous on the Minicoy Island.
• Tamil Nadu: Home to the classical dance Bharatanatyam. Folk dances include Karakattam, Kavadi Aattam, and Oyilattam.

Important Points

• Cultural Significance: Folk dances in Uttarakhand are deeply rooted in spirituality and agriculture. They are often performed to please local deities like Nanda Devi.
• Musical Instruments: Common instruments used during Chamfuli and other Uttarakhandi dances include the Dhol, Damau, Turri, and Ransingha.
• Geographic Diversity: The state is divided into two main administrative divisions, Garhwal and Kumaon, each possessing a unique set of musical and dance traditions that contribute to the Himalayan culture.
• Preservation: These traditional forms are preserved through mela (fairs) and local festivals, which are vital for the socio-cultural identity of the Pahari people.

The correct answer is Delhi.

Key Points

• The International Mango Festival is a world-renowned annual event primarily celebrated in Delhi, India.
• It was first inaugurated in the year 1987 to showcase the diversity of the "King of Fruits" and to promote the export of Indian mangoes.
• The festival is organized by the Delhi Tourism and Transportation Development Corporation (DTTDC) in collaboration with the Agricultural and Processed Food Products Export Development Authority (APEDA) and the National Horticultural Board (NHB).
• It usually takes place during the month of July, coinciding with the peak harvest season of mangoes in India.
• The primary venue for this celebration is often Dilli Haat (Janakpuri or INA) or the Talkatora Stadium, where thousands of visitors gather to witness the display.
• The festival showcases more than 500 varieties of mangoes, ranging from the famous Alphonso and Dasheri to rare and traditional types.

Additional Information

• Major Mango Varieties in India:
• Alphonso: Primarily grown in Ratnagiri, Maharashtra; it is often considered the most premium variety for export.
• Kesar: Characterized by its intense aroma, it is grown in the foothills of Girnar in Gujarat.
• Langra: A popular variety from Varanasi, Uttar Pradesh, known for its distinct green skin and fiberless pulp.
• Banganapalli: The leading variety of Andhra Pradesh, which received a Geographical Indication (GI) tag in 2017.
• Festival Highlights:
• The event features various competitions, including mango-eating contests, where participants compete to eat the maximum number of mangoes within a time limit.
• It provides a platform for horticulturists and farmers from across the country to interact with exporters and display their unique hybrids.
• Culinary experts often demonstrate how to prepare mango-based recipes, such as pickles, jams, juices, and desserts.
• Economic Significance:
• India is the largest producer of mangoes in the world, accounting for nearly 50% of the global production.
• The festival plays a crucial role in the Ministry of Agriculture's efforts to boost the commercial trade of the fruit in international markets.

Important Points

• Scientific Details: The scientific name of Mango is Mangifera indica, and it belongs to the family Anacardiaceae.
• National Symbol: The mango is officially recognized as the National Fruit of India, Pakistan, and the Philippines.
• Other Locations: While the International Mango Festival is synonymous with Delhi, other states like Uttar Pradesh and Maharashtra also organize regional mango fairs and exhibitions to promote local agriculture.
• Cultural Impact: In Indian culture, the mango is a symbol of prosperity and abundance, and its leaves are frequently used in traditional rituals and decorations.

The correct answer is Bengaluru.

Key Points

• The U R Rao Satellite Centre (URSC), formerly known as the ISRO Satellite Centre (ISAC), is located in Bengaluru, Karnataka.
• It is the lead centre of the Indian Space Research Organisation (ISRO) responsible for the design, development, and construction of all Indian satellites.
• The centre was officially renamed in 2018 to honor Professor U R Rao, a pioneer in space science and the former Chairman of ISRO, who led the development of India's first satellite.
• The primary function of this centre is the end-to-end realization of satellites, encompassing conceptual design, structural assembly, thermal control, and rigorous testing before launch.
• The historic first Indian satellite, Aryabhata, was fabricated at this centre and launched in 1975, establishing India as a space-faring nation.

Additional Information

• Bengaluru's Role in Space: Known as the "Space City of India", Bengaluru houses the ISRO Headquarters (Antariksh Bhavan) and the Department of Space (DoS), making it the administrative nerve center of Indian space exploration.
• Vikram Sarabhai Space Centre (VSSC): Located in Thiruvananthapuram, Kerala, this centre focuses on the design and development of launch vehicle technology, such as the PSLV and GSLV.
• Satish Dhawan Space Centre (SDSC) SHAR: Situated in Sriharikota, Andhra Pradesh, it serves as India's main spaceport for satellite launches into various orbits.
• Space Applications Centre (SAC): This centre is based in Ahmedabad, Gujarat, and is primarily involved in developing sensors and payloads for communication and remote sensing satellites.
• National Remote Sensing Centre (NRSC): Located in Hyderabad, this facility manages the acquisition, processing, and distribution of satellite data used for resource mapping and disaster management.

Important Points

• Technological Prowess: URSC is equipped with advanced cleanrooms, thermovacuum chambers, and vibration testing systems to ensure satellites can withstand the harsh environment of space.
• Major Satellite Series: The centre has developed the Indian National Satellite (INSAT) series for telecommunications and the Indian Remote Sensing (IRS) series for Earth observation.
• Interplanetary Missions: It played a critical role in prestigious projects like Chandrayaan-1, Chandrayaan-2, Chandrayaan-3, and the Mars Orbiter Mission (Mangalyaan).
• Navigation Systems: The development of the Navigation with Indian Constellation (NavIC) satellites, which provides independent regional navigation for India, is managed by this centre.

The correct answer is Earth.

Key Points

• Earth is famously known as the Blue Planet because approximately 71% (roughly two-thirds) of its surface is covered by water.
• When viewed from outer space, the vast oceans reflect sunlight and scatter blue light, giving the planet its distinctive and vibrant blue appearance.
• It is the third planet from the Sun and is the only known celestial body in the universe to support life, primarily due to the presence of liquid water.
• The Earth's atmosphere, composed of 78% Nitrogen and 21% Oxygen, also contributes to this appearance through a phenomenon called Rayleigh scattering, which makes the sky look blue from the surface and enhances the blue tint from space.
• The planet possesses a magnetic field generated by its molten iron core, which protects the hydrosphere and atmosphere from solar winds.

Additional Information

• Mercury:
• It is the smallest planet in the Solar System and the closest to the Sun.
• Mercury has almost no atmosphere to retain heat, leading to extreme surface temperatures ranging from -173°C at night to 427°C during the day.
• Its surface is heavily cratered and appears grey or dark brown, similar to the Moon.
• Venus:
• Commonly referred to as Earth's sister planet or twin because of its similar size and mass.
• It is the hottest planet in the solar system due to a thick atmosphere primarily composed of Carbon Dioxide, which traps heat via a runaway greenhouse effect.
• Venus appears bright yellowish-white from space because of its thick clouds of sulfuric acid.
• Uranus:
• Classified as an Ice Giant, it is the seventh planet from the Sun.
• It appears pale blue or cyan, but this is not due to liquid water; rather, the Methane in its atmosphere absorbs red light and reflects blue-green light.
• It has a unique tilt of about 98 degrees, meaning it effectively rotates on its side.
• Mars:
• Known as the Red Planet, its color is caused by the prevalence of Iron Oxide (rust) on its surface.
• It contains Olympus Mons, the highest mountain and volcano discovered in the Solar System.

Important Points

• The Solar System consists of eight planets, divided into Terrestrial planets (Mercury, Venus, Earth, Mars) and Jovian planets or Gas Giants (Jupiter, Saturn, Uranus, Neptune).
• Earth is the densest planet in the Solar System and the largest of the terrestrial planets.
• The Earth completes one rotation on its axis in 23 hours, 56 minutes, and 4 seconds, and one revolution around the Sun in 365.25 days.
• The distance between the Earth and the Sun is approximately 150 million kilometers, a distance defined as one Astronomical Unit (AU).

The correct answer is Jharkhand.

Key Points

• The Jhumti song is a traditional folk music form deeply rooted in the cultural landscape of Jharkhand, specifically among the Sadan and various tribal groups.
• It is considered a specialized variation of the Jhumair (or Jhumar) tradition, which is a dominant folk style across the Chota Nagpur plateau.
• The performance is typically female-centric, where women sing collectively in a rhythmic, melodic structure often during weddings and festive celebrations.
• The songs are accompanied by indigenous percussion instruments such as the Mandar, Dhol, and Nagari, which provide the distinct folk beat characteristic of the region.
• Themes of Jhumti often revolve around daily life, nature, and communal joy, serving as a medium for oral storytelling and cultural preservation.

 Additional Information

• Jharkhand Folk Arts:
• Chhau Dance: A famous masked dance-drama; the Seraikella style originated in Jharkhand and is recognized by UNESCO.
• Sohrai and Khovar: Renowned mural arts and paintings practiced by tribal women, often linked to harvest festivals.
• Karma Dance: Performed during the Karma festival, symbolizing the worship of the God of Fate.
• Andhra Pradesh:
• Famous for Kuchipudi, a classical dance form, and folk traditions like Burra Katha and Veeranatyam.
• Lakshadweep:
• Known for the Lava Dance, a rhythmic folk performance primarily seen on Minicoy Island.
• Andaman and Nicobar:
• The Nicobarese Dance is a prominent tribal dance performed during the Ossuary Feast to honor the spirits of ancestors.

The correct answer is 640867.

Key Points

• According to the Census of India 2011, there are a total of 640,867 villages in the country, representing the vast rural administrative network of India.
• Out of the total 640,867 villages, approximately 597,464 are classified as inhabited villages, while the remaining 43,403 are recorded as uninhabited.
• There was a net increase of 2,279 villages during the decade 2001−2011, as the total number of villages in the 2001 Census was 638,588.
• The data highlights that about 68.84% of the total Indian population resides in these rural areas, amounting to nearly 833.1 million people.

 Additional Information

• Census 2011 Overview:
• The 2011 Census was the 15^th National Census of India since 1872 and the 7^th after Independence.
• It was conducted under the guidance of C. Chandramouli, the then Registrar General and Census Commissioner of India.
• The state of Uttar Pradesh recorded the highest number of villages in the country, whereas Goa had the lowest among the states.
• The census also categorized 7,935 towns, including 3,894 Census Towns and 4,041 Statutory Towns.
• The sex ratio in rural India according to this census was 949 females per 1000 males, which was higher than the urban sex ratio of 929.
• The literacy rate in rural areas was recorded at 67.8%, compared to 84.1% in urban areas.

The correct answer is Rowlatt Act.

Key Points

• The Anarchical and Revolutionary Crimes Act, popularly known as the Rowlatt Act, was passed in March 1919 by the Imperial Legislative Council despite unanimous opposition from Indian members.
• The act was based on the recommendations of the Sedition Committee, headed by Sir Sidney Rowlatt, to investigate the revolutionary conspiracies of the Indian Ghadar Party and Bengal revolutionaries.
• It granted the British government extraordinary powers to repress political activities and allowed the detention of political prisoners without trial for a period of up to two years.
• This legislation effectively suspended the right of Habeas Corpus, leading to the popular Indian description: 'No Dalil, No Vakil, No Appeal' (No argument, no lawyer, no appeal).
• Mahatma Gandhi condemned the act as a 'Black Act' and launched the Rowlatt Satyagraha, which served as the first major pan-India organized protest against the British Raj.

 Additional Information

• Indian Councils Act 1861:
• It marked the beginning of representative institutions by associating Indians with the law-making process.
• It restored the legislative powers of the Bombay and Madras presidencies and introduced the Portfolio System.
• Indian Councils Act 1892 (often cited as 1891/92 in context):
• It increased the number of non-official members in the Central and Provincial Legislative Councils.
• It expanded the functions of the councils, allowing members to discuss the budget and address questions to the executive.
• Morley-Minto Act:
• Formally known as the Indian Councils Act 1909, it significantly increased the size of the Legislative Councils.
• It introduced a system of separate electorates for Muslims, thereby legalizing communalism in Indian politics.

The correct answer is 919.

Key Points

• The Child Sex Ratio is defined as the number of females per 1,000 males in the age group of 0-6 years within a given population.
• According to the 2011 Census, the child sex ratio in India was recorded at 919, which marked a decrease from the 927 recorded during the 2001 Census.
• The decline in this ratio is primarily attributed to factors such as female foeticide, gender-based discrimination, and a traditional preference for male children in several parts of the country.
• Among the various states in India, Arunachal Pradesh held the highest child sex ratio at 972, while Haryana reported the lowest child sex ratio at a mere 834.
• In terms of Union Territories, the Andaman and Nicobar Islands registered the highest child sex ratio at 968, whereas Delhi and Chandigarh recorded significantly lower figures.

 Additional Information

• The Census of 2011 served as the 15^th National Census of India and the 7^th since the country achieved independence.
• The official slogan for the 2011 Census was ‘Our Census, Our Future’, and it was conducted under the supervision of C. Chandramouli, the Registrar General and Census Commissioner.
• While the child sex ratio saw a decline, the overall sex ratio of India improved from 933 in 2001 to 943 in 2011.
• Kerala maintained its position as the state with the highest overall sex ratio at 1,084, whereas Haryana remained at the bottom with 879.
• The literacy rate of India as per the 2011 data was 74.04 percent, with male literacy at 82.14 percent and female literacy at 65.46 percent.

The correct answer is BHASHINI.

Key Points

• BHASHINI, or the Bhasha Interface for India, is an Artificial Intelligence (AI)-led language translation platform launched by the Ministry of Electronics and Information Technology (MeitY).
• It serves as the National Language Translation Mission (NLTM) to break language barriers by providing digital content and internet services in local Indian languages.
• The initiative utilizes high-end technologies like Natural Language Processing (NLP) and Machine Learning (ML) to enable real-time translation, including speech-to-speech capabilities.
• A critical component of this project is Bhasha Daan, a crowdsourcing initiative that encourages citizens to contribute data in various languages to refine and train the AI datasets.
• It aims to empower the Digital India vision by ensuring that people from diverse linguistic backgrounds can access government schemes, e-commerce, and educational resources in all 22 scheduled languages.
• The platform was notably demonstrated during the G20 Summit and at the Kashi Tamil Sangamam, where it provided real-time translation of the Prime Minister's speech.

 Additional Information

• UMANG (Unified Mobile Application for New-age Governance)
• Launched in 2017, it acts as a single point of access for over 1,200 central and state government services including EPF, Aadhaar, and PAN card services.
• DigiYatra
• An initiative by the Ministry of Civil Aviation that implements Facial Recognition Technology (FRT) to provide a seamless and contactless boarding experience at Indian airports.
• Aarogya Setu
• Developed by the National Informatics Centre (NIC), this mobile application was used for contact tracing, syndromic mapping, and self-assessment during the COVID-19 pandemic.

The correct answer is Water vapour in the air condenses upon contact with the cold glass.

Key Points

• The atmosphere contains water in a gaseous state known as water vapour, which is invisible to the naked eye.
• When air moves near a glass containing ice-cold water, the temperature gradient causes heat to transfer from the warmer air to the colder surface of the glass.
• As the water vapour molecules lose kinetic energy due to this cooling effect, they slow down and begin to cluster together.
• This physical change from a gaseous phase to a liquid phase is called condensation.
• The dew point is the specific temperature at which the air becomes saturated and cannot hold all its water vapour, leading to the formation of the liquid droplets seen on the exterior surface.

 Additional Information

• Phase Transitions:
• Condensation: An exothermic process where gas releases heat to become a liquid. It is the fundamental reason behind cloud formation and morning dew.
• Evaporation: The reverse process where liquid turns into gas. It is an endothermic process that requires heat absorption from the surroundings.
• Properties of Glass:
• Glass is an impermeable and non-porous material, meaning water cannot leak through the solid walls of the container.
• The appearance of water on the outside is entirely due to atmospheric moisture rather than the liquid inside the glass.
• Humidity Factors:
• The rate of droplet formation depends on relative humidity; higher humidity levels mean there is more water vapour available to condense, making the effect more pronounced.

The correct answer is Pneumonia.

Key Points

• Legionnaires' disease is a severe and potentially fatal form of pneumonia, which involves inflammation of the lungs typically caused by infection.
• The disease is caused by the Legionella bacterium, most commonly the species Legionella pneumophila, which is found naturally in freshwater environments but becomes a health risk when it grows in man-made water systems.
• The outbreak in New York in August 2025 was linked to contaminated aerosolized water, which individuals inhaled, allowing the bacteria to settle in the respiratory tract.
• Common sources of the bacteria include cooling towers used for large building air conditioning systems, hot tubs, decorative fountains, and large plumbing systems.
• Clinically, it presents with symptoms such as high fever, chills, cough, and shortness of breath, distinguishing it as a lung-specific infection.
• The disease was first recognized in 1976 after an outbreak at an American Legion convention in Philadelphia, which gave the illness its name.

 Additional Information

• Asthma:
• A chronic non-communicable disease characterized by recurrent attacks of breathlessness and wheezing.
• It involves the narrowing of the airways due to inflammation and muscle tightening, rather than a specific bacterial infection like Legionnaires'.
• Tuberculosis (TB):
• An infectious disease caused by Mycobacterium tuberculosis that mainly affects the lungs.
• While it is a lung infection, it has a different pathogen and transmission method (person-to-person via air) compared to the water-borne Legionella.
• Influenza:
• Commonly known as the flu, it is an acute viral infection caused by influenza viruses.
• It affects the upper and lower respiratory tracts and, while it can lead to secondary pneumonia, it is fundamentally a viral illness rather than a bacterial one.

The correct answer is China.

Key Points

• The Mineral Security Partnership (MSP) is a strategic collaboration of 13 countries and the European Union, established to accelerate the development of diverse and sustainable critical energy minerals supply chains globally.
• The partnership was announced in June 2022 by the United States and its key partners to reduce dependency on single-source suppliers and ensure minerals are produced under high environmental, social, and governance (ESG) standards.
• The current members of the MSP include Australia, Canada, Finland, France, Germany, India, Italy, Japan, the Republic of Korea, Norway, Sweden, the United Kingdom, and the United States.
• China is noticeably absent from this partnership, as the initiative is largely seen as a collective effort by Western allies and partners to counter China's global monopoly over the processing and supply of rare earth elements and critical minerals.
• India became a member of the elite group in June 2023, making it the only developing nation in the partnership, which is significant for its transition to green energy and electric vehicle (EV) manufacturing.

 Additional Information

• Critical Minerals and their Importance:
• The MSP focuses on minerals like Lithium, Cobalt, Nickel, Manganese, Graphite, and Rare Earth Elements.
• These minerals are vital for high-tech electronics, defense equipment, telecommunications, and renewable energy technologies like solar panels and wind turbines.
• Securing these supply chains is essential for meeting net-zero carbon emission targets and maintaining national security.
• The partnership encourages public and private sector investment to ensure that the minerals are processed and recycled in a way that provides economic benefits to the countries where they are found.

The correct answer is Turin.

Key Points

• The 2006 Winter Olympics, officially known as the XX Olympic Winter Games and commonly known as Torino 2006, were held in Turin, Italy.
• The event took place from February 10 to February 26, 2006, marking the second time Italy hosted the Winter Olympics, following the 1956 Games in Cortina d'Ampezzo.
• Turin was selected as the host city in June 1999 during the 109^th IOC Session in Seoul, where it defeated Sion, Switzerland, by a vote of 53 to 36.
• The Games featured 84 medal events across 15 disciplines in 7 sports, with a record 2,508 athletes participating from 80 National Olympic Committees (NOCs).
• The official motto of the Games was 'Passion lives here', and the opening ceremony was held at the Stadio Olimpico.
• Germany emerged as the most successful nation at the event, securing a total of 29 medals, including 11 gold medals.

 Additional Information

• Moscow:
• The capital of Russia, it hosted the 1980 Summer Olympics, which was notable for the United States-led boycott.
• While Russia hosted the 2014 Winter Olympics in Sochi, Moscow has never hosted a Winter edition.
• Zurich:
• A major financial center in Switzerland and home to the FIFA headquarters.
• Although Switzerland hosted the Winter Olympics in 1928 and 1948 (both in St. Moritz), Zurich has not been a host city.
• Dras:
• Located in the Kargil district of Ladakh, India, it is often called the Gateway to Ladakh.
• It is recognized as the coldest inhabited place in India, but it has no association with hosting Olympic events.

The correct answer is Milkha Singh.

Key Points

• Milkha Singh, popularly known as The Flying Sikh, is the author of the autobiography titled 'The Race of My Life', which was released in July 2013.
• The book was co-authored with his daughter, Sonia Sanwalka, and provides a poignant account of his struggle during the Partition of India, his time in the Indian Army, and his rise to international athletics fame.
• He represented India in three consecutive Summer Olympics: 1956 Melbourne, 1960 Rome, and 1964 Tokyo.
• Singh is iconic for his performance in the 1960 Rome Olympics, where he finished fourth in the 400m final with a timing of 45.73 seconds, a national record that stood for nearly 40 years.
• His life and the narrative of this autobiography served as the primary source for the National Award-winning biographical film 'Bhaag Milkha Bhaag'.

 Additional Information

• P. T. Usha:
• Known as the Payyoli Express, her autobiography is titled 'Golden Girl'.
• She won four gold medals at the 1986 Asian Games in Seoul and narrowly missed an Olympic medal in 1984.
• Abhinav Bindra:
• He is India's first individual Olympic gold medalist, winning the 10m Air Rifle event at the 2008 Beijing Olympics.
• His autobiography is titled 'A Shot at History: My Obsessive Journey to Olympic Gold'.
• Neeraj Chopra:
• He is an Indian javelin thrower who made history by winning the gold medal at the 2020 Tokyo Olympics.
• He is the first Indian to win a gold medal in track and field at the Olympic level.

The correct answer is Only I.

Key Points

• The New Economic Policy (NEP) launched in 1991 introduced the LPG (Liberalization, Privatization, and Globalization) model. By dismantling the License Raj and allowing Foreign Direct Investment (FDI) through automatic and government routes, India became a prime destination for global capital, leading to a massive increase in foreign investment across sectors like telecommunications, retail, and manufacturing. Hence, statement I is correct.
• Prior to 1991, India faced a severe Balance of Payments (BoP) crisis, where foreign exchange reserves fell to approximately 1.2 billion USD, barely enough to cover two weeks of essential imports. The opening of the economy actually facilitated a rapid build-up of these reserves through increased exports, foreign institutional investment (FII), and inward remittances, rather than a decrease. Hence, statement II is incorrect.

 Additional Information

• The LPG Reforms were initiated under the leadership of Prime Minister P.V. Narasimha Rao and Finance Minister Dr. Manmohan Singh to prevent a national economic collapse.
• Liberalization: This involved the deregulation of industrial sectors, allowing private businesses to expand without excessive government oversight and reducing import tariffs.
• Privatization: The process of disinvestment in Public Sector Undertakings (PSUs) was accelerated to improve efficiency and reduce the fiscal burden on the state.
• Globalization: This aimed to integrate the Indian economy with the global market by reducing trade barriers and allowing the Indian Rupee to be partially convertible on the current account.
• Foreign Exchange Management Act (FEMA): In 1999, FEMA replaced the more restrictive FERA to facilitate external trade and payments and promote orderly development of the foreign exchange market in India.

The correct answer is 6.

Key Points

• A standard handball team consists of a total of seven players on the court during active play.
• Among these seven players, one is designated as the goalkeeper, while the remaining six are referred to as court players.
• The primary objective of the six court players is to navigate the ball using their hands to score goals in the opposing team's net while defending their own half.
• The specific positions of these six court players typically include two wingers (left and right), three backcourt players (left back, center back/playmaker, and right back), and one pivot (also known as the line player).
• According to the official rules set by the International Handball Federation (IHF), a team must have at least five players (including a goalkeeper) on the court to start a match, but the standard configuration remains 6 court players plus the goalkeeper.

 Additional Information

• Match Duration and Structure:
• A professional handball match consists of two halves of 30 minutes each, with a 10-minute halftime interval.
• If a match ends in a draw during knockout stages, overtime consisting of two periods of 5 minutes is played.
• Court Dimensions:
• The game is played on a rectangular court measuring 40 meters × 20 meters.
• The goal area line, or the 6-meter line, is the most crucial boundary where only the goalkeeper is allowed to stand.
• Ball Handling Rules:
• A player is permitted to hold the ball for a maximum of three seconds and can take a maximum of three steps while holding it.
• Players may dribble the ball indefinitely, but once the ball is caught after a dribble, the three-step/three-second rule applies again before they must pass or shoot.
• Substitution Rules:
• Handball allows unlimited substitutions, which can be made at any time during the game without notifying the timekeeper, provided the player being replaced has fully exited the court.

The correct answer is Santiniketan.

Key Points

• Santiniketan was originally established as an ashram in 1863 by Maharshi Debendranath Tagore, the father of Rabindranath Tagore, in the Birbhum district of West Bengal.
• In 1901, Rabindranath Tagore founded an experimental school at Santiniketan called Brahmacharya Ashram (later Patha Bhavana) based on the principles of open-air education and learning through nature.
• Tagore expanded the institution into Visva-Bharati University in 1921, envisioning it as a world center where the East and West could meet through cultural and academic exchange.
• The institution was declared a Central University and an Institution of National Importance by an Act of the Indian Parliament in 1951.
• In September 2023, Santiniketan was inscribed as India’s 41^st UNESCO World Heritage Site, recognizing its unique approach to internationalism and humanism.

 Additional Information

• Presidency College:
• Founded in 1817 as Hindoo College in Calcutta, it was renamed Presidency College in 1855 and later upgraded to Presidency University in 2010.
• Fort William College:
• Established in 1800 by Lord Wellesley, the Governor-General of India, to train British civil servants in Indian languages, customs, and law.
• Hindu College:
• Established in 1817 in Calcutta by Raja Ram Mohan Roy, David Hare, and Radhakanta Deb to promote modern Western education among the Indian populace.

The correct answer is Bhagat Singh.

Key Points

• Bhagat Singh was a charismatic Indian revolutionary who became an enduring symbol of resistance against British colonial rule. He was born on September 28, 1907, in the village of Banga, Punjab.
• The honorific title Shaheed-e-Azam (meaning Great Martyr or King of Martyrs) was bestowed upon him by the Indian public to honor his supreme sacrifice for the nation at the young age of 23.
• He was a leading figure in the Hindustan Socialist Republican Association (HSRA), where he worked to transform the revolutionary movement from individual acts of heroism to a broader struggle based on socialist ideology.
• Singh was convicted in the Lahore Conspiracy Case for the assassination of British police officer John Saunders in 1928. This act was carried out as retaliation for the death of the veteran leader Lala Lajpat Rai.
• On April 8, 1929, he and Batukeshwar Dutt threw non-lethal smoke bombs into the Central Legislative Assembly in Delhi to protest against the Public Safety Bill and the Trade Dispute Bill, raising the legendary slogan Inquilab Zindabad.
• He was executed by hanging on March 23, 1931, in the Lahore Jail alongside Sukhdev and Rajguru. This day is observed as Shaheed Diwas (Martyrs Day) across India.

 Additional Information

• Lala Lajpat Rai:
• Known as Punjab Kesari (Lion of Punjab), he was a prominent leader of the Lal-Bal-Pal trio within the Indian National Congress. He passed away in November 1928 after being severely injured during a protest against the Simon Commission.
• Chandrashekhar Azad:
• A fearless revolutionary and the commander-in-chief of the HSRA. He maintained his vow of remaining Azad (free) and died during a fierce shootout with the police at Alfred Park, Allahabad, in February 1931.
• Abbas Ali:
• A dedicated Indian freedom fighter and a captain in the Indian National Army (INA) led by Subhas Chandra Bose. He was heavily influenced by the revolutionary ideas of Bhagat Singh and was a lifelong advocate for socialist principles.

The correct answer is option 2.

Key Points

The correctly spelt word is 'Nauseous'.

• The word 'Nauseous' is an adjective that means 'affected with nausea or inclined to vomit'.
• It can also mean 'causing nausea or disgust'.
• For Example: The smell of rotten food made me feel nauseous.

Therefore, the correct answer is 'Nauseous'.

Additional Information

Let’s understand why the other options are incorrect:

• Option 1: Nausious - Incorrect spelling, missing 'e' in the middle.
• Option 3: Naoseous - Incorrect spelling, misplaced 'o'.
• Option 4: Nouseous - Incorrect spelling, 'u' is misplaced.

The correct answer is option 2, i.e. quagmire.

Key Points

• The word 'quagmire' refers to a difficult, precarious, or entangled situation.
• In the given sentence, the term 'quaghmire' is a misspelling of the correct word 'quagmire'.
• Quagmire is a noun and is commonly used to describe situations where progress or resolution is difficult due to complexity or entanglement.

Correct sentence: The project turned into a financial quagmire, trapping investors in endless losses.

Additional Information

• Quagmire - a soft, boggy area of land that gives way underfoot; metaphorically, a complex or hazardous situation.
• Example: The negotiations became a political quagmire.
• Incorrect options:
• Quakmire: Incorrect spelling.
• Quackmire: Incorrect spelling.
• No replacement required: Incorrect, as the spelling in the original sentence is wrong.

The correct answer is option 1.

Key Points

The misspelled word is 'indigenious'.

• The correct spelling would be 'indigenous'.
• The word 'indigenous' is an adjective which means 'originating or occurring naturally in a particular place; native'. (स्वदेशी)
• For Example -
• The indigenous tribes of the Amazon have a rich culture and history.

Therefore, the correct answer would be 'indigenious'.

Additional Information

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

• Fauna - the animals of a particular region, habitat, or geological period (प्राणिजगत)
• Flora - the plants of a particular region, habitat, or geological period (पादप जगत)
• Intervention - the action or process of intervening (हस्तक्षेप)

The correct answer is option 3.

Key Points

The misspelled word is 'Opulance'.

• The correct spelling is 'Opulence'.
• The word 'Opulence' is a noun that means 'great wealth or luxuriousness'. (धन-वैभव)
• For Example -
• The opulence of the palace took everyone’s breath away.

Therefore, the correct answer is option 3 i.e. Opulance.

Additional Information

Let's understand the meanings of the other words:

• Brilliance - exceptional talent or intelligence (प्रतिभा)
• Defiance - open resistance or bold disobedience (अवज्ञा)
• Tolerance - the ability to endure hardship or accept differences (सहनशीलता)

The correct answer is: Hasten.

Key Points

• The word "Delay" means to make something happen at a later time than originally planned or expected; to postpone or procrastinate. (विलंब करना)
• Example: The flight was delayed due to bad weather.
• The word "Hasten" means to move or act quickly, or to cause something to happen sooner. (शीघ्रता करना)
• Example: The doctor hastened to the patient’s bedside when he heard the emergency call.
• Since "Hasten" is the opposite of "Delay," it is the correct answer.

Therefore, the correct answer is: Hasten.

Additional Information

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

• Postpone (स्थगित करना): To arrange for an event or activity to take place at a later time than originally planned.
• Example: The meeting was postponed to next week due to scheduling conflicts.
• Defer (टालना): To delay or put off an action or decision to a later time.
• Example: The committee decided to defer the final decision until more information was available.
• Procrastinate (टालमटोल करना): To delay or postpone an action unnecessarily, often due to laziness or fear of the task.
• Example: He procrastinated on finishing his project until the night before it was due.

The correct answer is: Option 2 i.e. Ordinary.

Key Points

• The word "Incredible" means something that is so extraordinary or amazing that it is difficult to believe. (अविश्वसनीय)
• Example: The view from the top of the mountain was so incredible that it took my breath away.
• The word "Ordinary" refers to something that is normal, usual, or not special in any way. It is the opposite of incredible. (साधारण)
• Example: She wore an ordinary dress to the event, nothing too fancy or extraordinary.
• Hence, the antonym of "Incredible" is "Ordinary."

Therefore, the correct answer is: Option 2 i.e. Ordinary.

Additional Information

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

• Unbelievable (अविश्वसनीय): Something that is difficult to believe or accept as true.
• Example: The magician's tricks were so unbelievable that the audience was left stunned.
• Amazing (शानदार): Something that is very impressive, surprising, or wonderful.
• Example: The fireworks display on New Year's Eve was absolutely amazing.
• Extraordinary (असाधारण): Something that is very unusual, remarkable, or exceptional.
• Example: She has an extraordinary talent for painting that sets her apart from others.

The correct answer is: Option 2 i.e. maze.

Key Points

• The word "maze" means a complex network of paths or passages that are difficult to navigate. (भूलभुलैया)
• Example: The hikers got lost in the maze of narrow streets in the old part of the city.
• The word "dense" refers to something closely compacted or crowded, which complements the idea of a "maze".
• Example: The dense forest was like a natural maze, making it hard to find the right path.

Therefore, the correct answer is: maze (Option 2).

Additional Information

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

• Maize (मकई): A type of grain, commonly known as corn, grown for food.
• Example: Maize is widely cultivated in many parts of the world as a staple crop.
• Mess (गड़बड़): A state of disorder or untidiness.
• Example: After the party, the room was in a complete mess.
• Mass (द्रव्यमान / समूह): A large body of matter or a large group of people or objects.
• Example: The mass of people gathered in the square to witness the celebration.

The correct answer is: Option 2 i.e. Cinematography.

Key Points

• The word "Cinematography" refers to the art and technology of motion-picture photography, involving techniques such as lighting, framing, and camera motion. (सिनेमेटोग्राफी: चलचित्र छायांकन की कला)
• Example: The cinematography in the film was breathtaking, especially the use of lighting in the final scene.

Correct Explanation: The term "cinematography" is directly related to motion pictures and their visual representation, which aligns perfectly with the given question. (सही उत्तर सिनेमेटोग्राफी है क्योंकि यह चलचित्र छायांकन की कला से संबंधित है।)

• Example: The director hired a renowned cinematographer to ensure the film's visuals were of the highest quality.

Therefore, the correct answer is: Option 2 i.e. Cinematography.

Additional Information

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

• Calligraphy (सुलेख): The art of beautiful handwriting or decorative writing.
• Example: She learned calligraphy to design elegant wedding invitations.
• Lithography (पत्थर मुद्रण): A printing process that uses a stone or metal plate with a completely smooth surface.
• Example: The artist created a series of lithographs to showcase his work.
• Photography (फोटोग्राफी): The art or practice of taking and processing photographs.
• Example: Her love for photography began when she got her first camera as a gift.