Given:

The weights (in kg) of 7 cousins in a family are 54, 62, 65, 70, 60, 59, 55.

Formula used:

Median of a set of numbers is the middle number when they are arranged in ascending order.

Calculations:

First, arrange the weights in ascending order:

54, 55, 59, 60, 62, 65, 70

Since there are 7 numbers, the median is the 4th number in the ordered list.

⇒ Median weight = 60 kg

∴ The correct answer is option (1).

Given:

Original observations: 46, 48, 63, 76, 88, 41, 35, 55, 90, 56, 92

88 is replaced by 93 and 41 is replaced by 47

New observations: 46, 48, 63, 76, 93, 47, 35, 55, 90, 56, 92

Formula used:

Median of a set of numbers

Calculations:

Original observations sorted: 35, 41, 46, 48, 55, 56, 63, 76, 88, 90, 92

Median of original observations: 56

New observations sorted: 35, 46, 47, 48, 55, 56, 63, 76, 90, 92, 93

Median of new observations: 56

⇒ Difference = 56 - 56 = 0

∴ The correct answer is option (4).

Given:

The value of 5 + 24 × 8 ÷ 8 of 8 - 8 ÷ 8 × 4 of 4

Formula used:

Order of operations (BODMAS/BIDMAS): Brackets, Orders (i.e. powers and square roots, etc.), Division and Multiplication (left-to-right), Addition and Subtraction (left-to-right)

Calculations:

5 + 24 × 8 ÷ 8 of 8 - 8 ÷ 8 × 4 of 4

⇒ 5 + 24 × 8 ÷ 8 × 8 - 8 ÷ 8 × 4 × 4

⇒ 5 + 24 × 8 ÷ 64 - 8 ÷ 8 × 16

⇒ 5 + 24 × 1/8 - 1 × 16

⇒ 5 + 3 - 16

⇒ - 8

∴ The correct answer is option (4).

Given:

Selling Price (SP) = ₹8,540

Profit Percentage = 22%

Formula used:

Profit = SP - CP

Profit Percentage = (Profit / CP) × 100

CP = SP / (1 + Profit Percentage/100)

Calculations:

CP = 8540 / (1 + 22/100)

⇒ CP = 8540 / 1.22

⇒ CP = 7000

∴ The correct answer is option 1.

Given:

Amount (A) = ₹4,160

Rate (r) = 5% per annum

Time (t) = 6 years

Formula used:

Simple Interest (SI) = P × r × t / 100

Amount (A) = Principal (P) + Simple Interest (SI)

Calculations:

A = P + (P × r × t / 100)

4160 = P + (P × 5 × 6 / 100)

⇒ 4160 = P + (P × 30 / 100)

⇒ 4160 = P + 0.3P

⇒ 4160 = 1.3P

⇒ P = 4160 / 1.3

⇒ P = 3200

∴ The correct answer is option (4).

Given:

Simplify (2z - 5y)² + (5z + 2y)² - 25z².

Formula used:

(a - b)² = a² - 2ab + b²

(a + b)² = a² + 2ab + b²

Calculation:

(2z - 5y)² + (5z + 2y)² - 25z²

⇒ (2z)² - 2×2z×5y + (5y)² + (5z)² + 2×5z×2y + (2y)² - 25z²

⇒ 4z² - 20zy + 25y² + 25z² + 20zy + 4y² - 25z²

⇒ 4z² + 25y² + 4y²

⇒ 4z² + 29y²

∴ The correct answer is option (1).

Given:

Find the value of 3(sec² A - 1) (cosec A - 1) (cosec A + 1) + 4 (cosec² A - cot² A).

Formula used:

sec² A - 1 = tan² A

cosec² A - cot² A = 1

(cosec A - 1)(cosec A + 1) = cosec² A - 1

cosec² A - 1 = cot² A

Calculation:

3(sec² A - 1) (cosec A - 1) (cosec A + 1) + 4 (cosec² A - cot² A)

⇒ 3(tan² A) (cot² A) + 4 (1)

⇒ 3(1) + 4

⇒ 3 + 4

⇒ 7

∴ The correct answer is option 1.

Given:

Initial price of the machine = ₹8,000

Price decrease percentages over three years:

Year 1: 5%

Year 2: 10%

Year 3: 15%

Formula used:

Price after each year = Current price × (1 - Rate of decrease)

Calculation:

Year 1:

Price = 8,000 × (1 - 5/100)

⇒ Price = 8,000 × 0.95 = ₹7,600

Year 2:

Price = 7,600 × (1 - 10/100)

⇒ Price = 7,600 × 0.90 = ₹6,840

Year 3:

Price = 6,840 × (1 - 15/100)

⇒ Price = 6,840 × 0.85 = ₹5,814

∴ The price of the machine after three years will be ₹5,814.

Given:

In a triangle PQR, incentre is A and ∠QAR = 116º. Find the measure of ∠QPR.

Formula used:

∠QAR = 90º + ∠QPR/2

Calculation:

116º = 90º + ∠QPR/2

⇒ 116º - 90º = ∠QPR/2

⇒ 26º = ∠QPR/2

⇒ ∠QPR = 26º × 2

⇒ ∠QPR = 52º

∴ The correct answer is option (4).

Given:

The average of five integers is 48.

The average of the first four integers is 50% of the 5th integer.

Formula used:

Average = Sum / Number of items

Calculation:

Let the five integers be a,b,c,d,ea,b,c,d,e

.

Average of five integers = 48

⇒ a+b+c+d+e5=48a+b+c+d+e5=48

⇒ a+b+c+d+e=48×5a+b+c+d+e=48×5

⇒ a+b+c+d+e=240a+b+c+d+e=240

The average of the first four integers is 50% of the 5th integer.

⇒ a+b+c+d4=e2a+b+c+d4=e2

⇒ a+b+c+d=4e2a+b+c+d=4e2

⇒ a+b+c+d=2ea+b+c+d=2e

We know that:

a+b+c+d+e=240a+b+c+d+e=240

Substitute a+b+c+d=2ea+b+c+d=2e

into the equation:

2e+e=2402e+e=240

⇒ 3e=2403e=240

⇒ e=2403e=2403

⇒ e=80e=80

∴ The correct answer is option (4).

Given:

A milk vendor has 75 litres of cow milk, 45 litres of toned milk and 30 litres of full cream milk.

Formula used:

To find the least number of trays required, we need to find the Highest Common Factor (HCF) of the quantities of milk.

Calculations:

Quantities of milk: 75 litres, 45 litres, 30 litres

Finding HCF of 75, 45, 30:

⇒ Factors of 75: 1, 3, 5, 15, 25, 75

⇒ Factors of 45: 1, 3, 5, 9, 15, 45

⇒ Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

⇒ Common factors: 1, 3, 5, 15

⇒ HCF = 15

Each tray will contain 15 litres of milk.

Number of trays for cow milk = 75 ÷ 15 = 5

Number of trays for toned milk = 45 ÷ 15 = 3

Number of trays for full cream milk = 30 ÷ 15 = 2

Total number of trays = 5 + 3 + 2 = 10

∴ The correct answer is option (3).

Shortcut Trick

In 54³/₄ days on alternate days starting with Ratnesh, Ratnesh works for 27³/₄ days and Vineet works for 27 days.

Since Ratnesh alone takes 48 days, the work remaining for Vineet to finish is what Ratnesh would do in 48 − 27.75 = 20.25 days.

Efficiency ratio R : V = 27 : 20.25 = 1 : 0.75 = 4 : 3.

Time taken by Vineet = 48 × (4 ÷ 3) = 64 days.

∴ The correct answer is 64 days.

Alternate Method

Given:

Time for Ratnesh (R) alone = 48 days

Total time (alternate) = 54³/₄ = 54.75 days

Formula: Total Work = Efficiency × Time

Calculations:

⇒ Total days = 54.75 days. Since Ratnesh starts on day 1, he works on all odd days.

⇒ Ratnesh works for 27 full days (1, 3, ..., 53) + 0.75 of day 55 = 27.75 days.

⇒ Vineet works for 27 full days (2, 4, ..., 54).

⇒ Let R's efficiency be E_R and V's efficiency be E_V.

⇒ Total Work = 48 × E_R

⇒ Also, Total Work = 27.75 × E_R + 27 × E_V

⇒ 48 × E_R = 27.75 × E_R + 27 × E_V

⇒ (48 − 27.75) × E_R = 27 × E_V

⇒ 20.25 × E_R = 27 × E_V

⇒ E_V = (20.25 ÷ 27) × E_R = 0.75 × E_R

⇒ Time for Vineet alone = (48 × E_R) ÷ (0.75 × E_R) = 48 ÷ 0.75 = 64 days.

∴ The correct answer is 64 days.

Additional Information

Alternate Day Work

When two people work on alternate days, we calculate the work done in a 2-day cycle. If A starts, A works on days 1, 3, 5... and B works on days 2, 4, 6...

Efficiency and Time Relationship

Efficiency is inversely proportional to the time taken to complete the work (E₁ × T₁ = E₂ × T₂).

Combined Efficiency

Total efficiency in one cycle (2 days) = Efficiency of A + Efficiency of B.

Given:

ABCD is a trapezium in which AB is parallel to CD, and E and F are the mid-points of non-parallel sides AD and BC. EF is parallel to AB, AB = 28 cm, and CD = 18 cm.

Formula used:

In a trapezium, the line segment joining the mid-points of the non-parallel sides is parallel to the parallel sides and equal to half the sum of the lengths of the parallel sides.

EF = 1/2 (AB + CD)

Calculation:

EF = 1/2 (28 + 18)

⇒ EF = 1/2 (46)

⇒ EF = 23 cm

∴ The correct answer is option (3).

Given:

Find the value of (sin⁶ A + cos⁶ A + 3 sin² A cos² A) - (sin⁴ A - cos⁴ A + 1) cosec² A.

Formula used:

We use the identity for simplification:

sin²A + cos²A = 1

cosec2A - cot2A = 1

sin⁴ A - cos⁴ A = (sin² A - cos² A)(sin² A + cos² A)

cosec² A = 1 / sin² A

Solution:

The expression $\sin^6 A + \cos^6 A$ can be rewritten using the identity for the sum of cubes:

$a^3 + b^3 = (a + b)(a^2 - ab + b^2)$ Here, a = sin²A and b = cos²A So: 

$\sin^6 A + \cos^6 A = (\sin^2 A + \cos^2 A)(\sin^4 A - \sin^2 A \cos^2 A + \cos^4 A)$

$\sin^6 A + \cos^6 A = 1 \cdot (\sin^4 A - \sin^2 A \cos^2 A + \cos^4 A)$

$\sin^6 A + \cos^6 A = \sin^4 A - \sin^2 A \cos^2 A + \cos^4 A$

Using the identity $a^2 + b^2 = (a + b)^2 - 2ab$, we can write:

$\sin^4 A + \cos^4 A = (\sin^2 A + \cos^2 A)^2 - 2(\sin^2 A \cos^2 A)$

$\sin^4 A + \cos^4 A = 1^2 - 2(\sin^2 A \cos^2 A) = 1 - 2\sin^2 A \cos^2 A$

Substitute $\sin^4 A + \cos^4 A = 1 - 2\sin^2 A \cos^2 A$ into the equation:

$\sin^6 A + \cos^6 A = (1 - 2\sin^2 A \cos^2 A) - \sin^2 A \cos^2 A$

$\sin^6 A + \cos^6 A = 1 - 3\sin^2 A \cos^2 A$

Putting value in (sin6 A + cos6 A + 3 sin2 A cos2 A) - (sin4 A - cos4 A + 1) cosec2 A:

(sin⁶ A + cos⁶ A + 3 sin² A cos² A) - (sin⁴ A - cos⁴ A + 1) cosec² A

⇒ (1 + 3 sin2 A cos2 A - 3 sin² A cos² A) - [(sin² A - cos² A)(1) + 1] (1 / sin² A)

⇒ (1) - [(sin² A - cos² A) + 1] (1 / sin² A)

⇒ (1) - (sin² A - cos² A + 1) / sin² A

⇒ (1) - (sin² A / sin² A - cos² A / sin² A + 1 / sin² A)

⇒ (1) - (1 - cos² A / sin² A + 1 / sin² A)

⇒ (1) - (1 - cos² A / sin² A + cosec² A)

⇒ (1) - (1 - cot² A + Cosec²A)                Since [cosec²A - cot²A = 1]

⇒ (1) - (2)

⇒ -1

∴ The correct answer is option (4).

Given:

Principal (P) = ₹80,000

Time (t) = 4 years

Simple Interest Increase = 40%

Formula used:

Simple Interest (SI) = P × r × t / 100

Amount (A) = P(1 + r/100)^t

Calculation:

Simple Interest Increase = 40%

⇒ 40 = r × 4 / 100

⇒ r = 40 × 100 / 4

⇒ r = 10%

Now, find compound interest:

Amount (A) = P(1 + r/100)^t

A = 80,000(1 + 10/100)⁴

⇒ A = 80,000(1 + 0.1)⁴

⇒ A = 80,000(1.1)⁴

⇒ A = 80,000 × 1.4641

⇒ A = ₹117,128

Compound Interest (CI) = A - P

CI = 117,128 - 80,000

⇒ CI = ₹37,128

∴ The correct answer is option 2.

Given:

A cylinder has a radius of $\frac{8}{π}$ cm and its volume is 448 cm3 .

Formula Used:

Volume of Cylinder = π r²h

Calculation:

According to the question, 

448 = π (8/π)² h

⇒ h = (448 × 22)/(64 × 7) 

⇒ 22 cm

∴ The height of the cylinder is 22 cm.

Given:

A number 37 is divided into two parts such that 5 times one part and 11 times the other is together equal to 227.

Formula used:

Let the two parts be x and (37 - x).

According to the given condition:

5x + 11(37 - x) = 227

Calculation:

5x + 11(37 - x) = 227

⇒ 5x + 407 - 11x = 227

⇒ -6x + 407 = 227

⇒ -6x = 227 - 407

⇒ -6x = -180

⇒ x = 30

The smaller part is 37 - 30 = 7

9 times the smaller number = 9 × 7 = 63

∴ The correct answer is option (1).

Given:

Radius of the cylinder, cone, and hemisphere (r) = 4.2 cm

Height of the cylinder (h_cyl) = 7 cm

Height of the cone (h_cone) = 7 cm

π = 22/7

Formula used:

Volume of cylinder (V_cyl) = πr²h_cyl

Volume of cone (V_cone) = (1/3)πr²h_cone

Volume of hemisphere (V_hemi) = (2/3)πr³

Calculation:

V_cyl = π × (4.2)² × 7

⇒ V_cyl = (22/7) × (4.2)² × 7

⇒ V_cyl = 22 × 4.2 × 4.2

⇒ V_cyl = 387.464 cm³

V_cone = (1/3) π × (4.2)² × 7

⇒ V_cone = (1/3) × (22/7) × (4.2)² × 7

⇒ V_cone = (1/3) × 22 × 4.2 × 4.2

⇒ V_cone = 129.155 cm³

V_hemi = (2/3) π × (4.2)³

⇒ V_hemi = (2/3) × (22/7) × (4.2)³

⇒ V_hemi = (2/3) × 22 × 4.2 × 4.2 × 4.2 / 7

⇒ V_hemi = 155.053 cm³

Total volume (V_total) = V_cyl + V_cone + V_hemi

⇒ V_total = 387.464 + 129.155 + 155.053

⇒ V_total = 672.672 cm³

∴ The correct answer is option (3).

Given:

The average of 11 results is 60 and that of the first 10 is 59.

Formula used:

Sum = Average × Number of items

Calculation:

Sum of 11 results = 60 × 11

⇒ Sum of 11 results = 660

Sum of first 10 results = 59 × 10

⇒ Sum of first 10 results = 590

The 11th result = Sum of 11 results - Sum of first 10 results

⇒ The 11th result = 660 - 590

⇒ The 11th result = 70

∴ The correct answer is option (1).

Given:

The surface area of a cube is 1728 cm².

Formula used:

Surface area of a cube = 6a²

Volume of a cube = a³

Calculation:

6a² = 1728

⇒ a² = 1728 / 6

⇒ a² = 288

⇒ a = √288

Volume = a³

Volume = (√288)³

Volume = 3456√2 cm³

∴ The correct answer is option (4).

Given:

Head-start time for Hari = 60 seconds

Distance of race = 2400 m

Tarun beats Hari by = 40 seconds

Speed of Hari = 6 m/s

Formula used:

Speed = Distance / Time

Calculations:

Time taken by Hari to run 2400 m at 6 m/s:

⇒ Time_Hari = 2400 / 6 = 400 seconds

Since Tarun beats Hari by 40 seconds, and Tarun gave head start of 60 seconds to hari, Time taken by Tarun:

⇒ Time_Tarun = 400 - 40 - 60 = 300 seconds

Speed of Tarun:

⇒ Speed_Tarun = 2400 / 300

⇒ Speed_Tarun = 8 m/s (approximately)

The correct answer is 8 m/s

Given:

The average of 11 results is 59.

The average of the first 10 results is 58.

Formula used:

Sum of n terms = Average × Number of terms

Calculation:

Sum of 11 results = 59 × 11

⇒ Sum of 11 results = 649

Sum of first 10 results = 58 × 10

⇒ Sum of first 10 results = 580

The 11th result = Sum of 11 results - Sum of first 10 results

⇒ 11th result = 649 - 580

⇒ 11th result = 69

∴ The correct answer is option (4).

Given:

The numbers are in the ratio 5 : 7 : 9

Their LCM is 1260

Formula used:

If the numbers are 5x, 7x, and 9x then their LCM is the highest of the multiples of the common factors.

Calculation:

LCM of 5x, 7x, and 9x = 315x

Given LCM = 1260

⇒ 315x = 1260

⇒ x = 1260 / 315

⇒ x = 4

Therefore, the numbers are:

Smallest number = 5x = 5 × 4 = 20

Largest number = 9x = 9 × 4 = 36

⇒ Difference between the largest and smallest number = 36 - 20 = 16

∴ The correct answer is option 2.

Given:

A invested = ₹7,000 for 12 months

B invested = ₹8,000 for 10 months

C invested = ₹12,000 for 6 months

Total Profit = ₹14,750

A received 20% of the profit as remuneration

Formula used:

Share of profit = (Investment × Time) / Total Investment Ratio

Calculations:

Total Investment Ratio = (7000 × 12) + (8000 × 10) + (12000 × 6)

⇒ Total Investment Ratio = 84000 + 80000 + 72000

⇒ Total Investment Ratio = 236000

A's Investment Ratio = 7000 × 12 = 84000

B's Investment Ratio = 8000 × 10 = 80000

C's Investment Ratio = 12000 × 6 = 72000

Total Profit - A's remuneration = 14750 - (20% of 14750)

⇒ 20% of 14750 = 2950

⇒ Remaining Profit = 14750 - 2950 = 11800

C's share in profit = (C's Investment Ratio / Total Investment Ratio) × Remaining Profit

⇒ C's share = (72000 / 236000) × 11800

⇒ C's share = (72 / 236) × 11800

⇒ C's share = 0.3051 × 11800

⇒ C's share = 3600

∴ The correct answer is option (2).

Given:

The radii of the two spheres are in the ratio 4 : 5.

Formula used:

Volume of a sphere V = (4/3)πr³

For two spheres with radii r₁ and r₂ in the ratio 4:5, the volumes will be in the ratio (r₁)³ : (r₂)³

Calculations:

Let r₁ = 4k and r₂ = 5k

⇒ V₁ : V₂ = (4k)³ : (5k)³

⇒ V₁ : V₂ = 64k³ : 125k³

⇒ V₁ : V₂ = 64 : 125

∴ The correct answer is option (3).

Given:

Marked price (MP) = ₹2,800

Discounts = 15%, 8%, 5%

Formula used:

Selling Price (SP) = MP × (1 - d₁/100) × (1 - d₂/100) × (1 - d₃/100)

Where, d₁, d₂, d₃ are successive discounts

Calculation:

SP = 2800 × (1 - 15/100) × (1 - 8/100) × (1 - 5/100)

⇒ SP = 2800 × 0.85 × 0.92 × 0.95

⇒ SP = 2800 × 0.74

⇒ SP = 2080.12

∴ The correct answer is option 1.

Given:

A die is cast twice and a coin is tossed thrice.

Formula used:

Probability of an event = (Number of favorable outcomes) / (Total number of outcomes)

Calculation:

Probability of getting 5 on a die = 1/6

Probability of getting 5 on a die twice = (1/6) × (1/6)

⇒ (1/6) × (1/6) = 1/36

Probability of getting head on a coin = 1/2

Probability of getting head on a coin thrice = (1/2) × (1/2) × (1/2)

⇒ (1/2) × (1/2) × (1/2) = 1/8

Combined probability = (1/36) × (1/8)

⇒ (1/36) × (1/8) = 1/288

∴ The correct answer is option (2).

Given:

Man’s age = 4 × (sum of ages of his three children)

After 6 years, man’s age = 2 × (sum of ages of his three children)

Formula used:

Let the man’s age be x and the sum of the ages of his three children be y.

Equation (1): x = 4y

Equation (2): x + 6 = 2 × (y + 18)

Calculation:

From equation 1, substitute x = 4y into equation 2:

⇒ 4y + 6 = 2 × (y + 18)

⇒ 4y + 6 = 2y + 36

⇒ 4y - 2y = 36 - 6

⇒ 2y = 30

⇒ y = 15

Substitute y = 15 into equation 1:

⇒ x = 4 × 15

⇒ x = 60

∴ The man’s present age is 60 years.

Given:

Number of Commerce postgraduates = 40

Total number of postgraduates = 40 (Commerce) + 80 (Science) + 60 (Arts) = 180

Formula used:

Angle corresponding to Commerce postgraduates in a pie chart = (Number of Commerce postgraduates / Total number of postgraduates) × 360°

Calculation:

Angle = (40 / 180) × 360°

⇒ Angle = (2 / 9) × 360°

⇒ Angle = 80°

∴ The correct answer is option (3).

Rectangle

• A rectangle is a quadrilateral.
• The opposite sides are parallel and equal to each other.
• Each interior angle is equal to 90 degrees.
• The sum of all the interior angles is equal to 360 degrees.
• The diagonals bisect each other
• Both diagonals have the same length.

Explanation:

According to the question, we draw a figure of a rectangle ABCD

AB = CD

BC = AD

AC = BD

It will be a rectangle and each angle will be a right angle.

The logic followed here is:

Logic: 1st number - 11 = 2nd number.

Now,

For, 89 : 78

→ 89 - 11 = 78.

For, 97 : 86

→ 97 - 11 = 86.

Similarly, for 72 ∶ ?

→ 72 - 11 = 61.

Hence, the correct answer is "Option 3".

Given Statement: M < N ≤ O = S > T ≥ W ≥ Z

Now,

Conclusions:

1: M ≤ T → False (Because, M < N ≤ O = S > T no definite relation given between M and T).

2: N < Z → False (Because, N ≤ O = S > T ≥ W ≥ Z no definite relation given between N and Z).

So, Neither Conclusion I nor Conclusion II is true.

Hence, the correct answer is "Option 2".

The logic followed here is:

Logic: (1st number × 2nd number) + 2 = 3rd number.

Now,

For, (19, 9, 173)

→ (19 × 9) + 2 = 171 + 2 = 173.

For, (6, 17, 104)

→ (6 × 17) + 2 = 102 + 2 = 104.

Similarly, for (11, 4, 46)

→ (11 × 4) + 2 = 44 + 2 = 46.

Hence, the correct answer is "Option 4".

Given number: '23584617'

Now, 

2 is added to each odd digit and,

1 is subtracted from each even digit.

After applying the transformations:

 

The transformed digits are: 1, 5, 7, 7, 3, 5, 3, 9

Digits that appear more than once: 3, 5, 7

Hence, the correct answer is "Option 1".

The logic followed here is:

Logic: 1st number - 9 = 2nd number; 2nd number - 9 = 3rd number.

Let's apply the logic to each

1. 94 - 85 - 76

→ 94 - 9 = 85 

→ 85 - 9 = 76.

2. 112 - 103 - 94 

→ 112 - 9 = 103 

→ 103 - 9 = 94.

3) 76 - 67 - 54

→ 76 - 9 = 67 

→ 67 - 9 = 58 ≠ 54.

4. 87 - 78 - 69 

→ 87 - 9 = 78 

→ 78 - 9 = 69.

Hence, the correct answer is "Option 3".

Statement I: All undergraduate exams scheduled for tomorrow in Balasore have been cancelled by the university. New dates will be announced early next week.

Statement II: High winds and very heavy rains are expected in Balasore tomorrow as the cyclone makes a landfall by 3 pm.

Due to the expected severe weather conditions caused by the cyclone, the university has decided to cancel the undergraduate exams scheduled for tomorrow to ensure the safety of the students.

Hence, II is the cause and I is its possible effect.

The logic followed here is:

Step I: New element is adding in second and third figure.

Step II: Element repeat itself in sequence in forth and fifth figure.

Hence, the correct answer is "Option 4".

BODMAS Table: 

Given equation: 21 - 7 ÷ 144 × 3 + 18 = ?

Now, if '+' and '-' are interchanged and '×' and '÷' are interchanged, then:

⇒ 21 + 7 × 144 ÷ 3 - 18 = ?

⇒ 21 + 7 × 48 - 18 = ?

⇒ 21 + 336 - 18 = ?

⇒ 357 - 18 = 339.

Hence, the correct answer is "Option 3".

The logic followed here is:

The code for "D" is "2".

The code for "E" IS "6".

Thus, the code for "E" IS "6".

Hence, the correct answer is "Option 2".

The logic followed here is: 

Option 1) REME → REM/ RRER / REEEM / RREMME 

Option 2) EMER → REM/ RREE / RMEEM / RREEMR

Option 3) MREM → REM/ RREM / RREEM / RREEMM (It follows a pattern).

Option 4) MRME → REM/ RREM / RREEM / RREMME

Meaningful English words can be formed with the letters Y, P, R, and A using each letter only once in each word is:

1. PRAY → To make a request in a humble manner.

So, only one meaningful word can be formed using these letters once in each word.

Hence, the correct answer is "Option 1".

The logic followed here is:

 

Ring, Ball, Birthday hat all are objects that can be associated with a geometric shape (Circle, Sphere, Cone),

Whereas,

Television is not associated with a specific geometric shape.

Hence, the correct answer is "Television - Triangle".

The logic followed here is: +1 in the positional value of the letter.

 Thus, 

- UWA, % - BDH, ⇒ GIM :  VXB  :: ACG : KMQ

⇒Here, similar pattern can be seen.

- GIM, % - KMQ, ⇒ UWA :  VXB  :: ACG : BDH

⇒Here, no similar pattern can be seen.

- HDN, % - BDH ,⇒ UVN :  VXB  :: ACG : BDH

⇒Here, no similar pattern can be seen.

- UVN, % - KMQ, ⇒  HDN :  VXB  :: ACG : KMQ

 ⇒Here, no similar pattern can be seen.

Hence, the correct answer is "Option - (1)".

Given:  A certain number of people are sitting in a row facing the north direction.

1) ‘T’ is sitting to the immediate right of ‘U’.

2. ‘Y’ is sitting 5th to the left of ‘U’

3)  ‘O’ is sitting at one extreme end, and there is only one person sitting between ‘O’ and ‘Y’.

4. ‘Z’ is an immediate neighbour of both ‘T’ and ‘P’. 

5. ‘V’ is sitting 5th to the left of ‘T’

If no other person is sitting in the row, then 11 person are sitting in the row.

Hence, the correct answer is "Option 1".

The logic followed here is:

Step I: Element at the top left corner + 1 the side of element in the next image.

Step II:  Element at the bottom left corner moved to middle with double of it in the next image.

Step III:  Element at the bottom right corner has the mirror image covered with box in the next image.

In figure 1 → figure 2

In figure 3 → figure 4

 

Hence, the correct answer is "Option 1".

The logic followed here is:

2. Triangle - A triangle is a polygon with the smallest number of sides, which is 3.
3. Square - A square is a polygon with 4 equal sides.
4. Pentagon - A pentagon is a polygon with 5 sides.
5. Hexagon - A hexagon is a polygon with 6 sides.
6. Octagon - An octagon is a polygon with 8 sides.

So, the order would be: '2, 4, 3, 1, 5'.

Hence, the correct answer is "Option 2".

Meaningful English words that can be formed with the letters A, E, D, and N using each letter only once in each word is:

1. DEAN → A person who is the head of a college or university faculty or department.

So, 'One' meaningful words can be formed using these letters once in each word.

Hence, the correct answer is "Option 3".

The correct mirror image of the given figure is:

Hence, the correct answer is "Option 2".

The logic to be used is:

Logic: 1st number + 15 = 2nd number; 2nd number - 6 = 3rd number.

Let's verify each options:

1. 29 - 44 - 38 

→ 29 + 15 = 44

→ 44 - 6 = 38

2) 31 - 46 - 41

→ 31 + 15 = 46

→ 46 - 6 = 40 ≠ 41.

3. 17 - 32 - 26

→ 17 + 15 = 32

→ 32 - 6 = 26

4. 24 - 39 - 33

→ 24 + 15 = 39

→ 39 - 6 = 33

From the above calculations, it is clear that 'Option 2' does not follow the given pattern.

Hence, the correct answer is "Option 2".

Statements:

Some crayon is colour.

No colour is water.

Some water is liquid.

The least possible venn diagram is given:

Conclusions:

I) Some crayon is liquid - False (because there is no direct relation between crayon and liquid, So it can be possible only).

II) Some crayon is not water - True (because some colour is crayon and no colour is water, so the part of crayon which is colour can never be water).

III) Some liquid is not colour - True (because some liquid is water and no colour is water, so the part of liquid which is water can never be colour).

Thus, Only II and III follows.

Hence, the correct answer is "Option 4".

According to given figure:

The figure will appear when it is opened as follows:

 ⇒    

 ⇒

Hence, the correct answer is "Option 2".

The logic followed is here is:

MNQP is related to STWV

ABED is related to GHKJ

Similarly, 

IJML related to 

So, IJML is related to OPSR.

Hence, the correct answer is "Option 3".

Given:

Statement: In spite of the principal's repeated warnings, a child was caught with a hidden mobile phone in the school.

Course of Action:

I. The mobile phone should be taken away from the child and the parents should be called to the school - True (Because, this will ensure that the parents are aware of the child’s misconduct and can take steps to prevent it in the future).

II. The child should be punished for committing this mistake - True (Because, punishment can act as a deterrent for the child and other students from repeating such actions).

So, Both I and II follow.

Hence, the correct answer is "Option 1".

The logic followed here is:

Logic: Top left corner symbol is shifted to bottom right corner 

Bottom left corner symbol is shifted to top right corner

Option 1) 

Similar pattern is followed in Option 3 and Option 4.

But in Option 2 it is not followed,

Thus Option 2 figure is not belong to that group.

Hence, the correct answer is "Option 2".

Given:

Statement I: Refreshing and delicious salads are full of antioxidants, Vitamin A, Vitamin C, folate, calcium, fibre and phytonutrients, which are good for health.

Statement II: It is a perfect way to begin our day with salads in order to lead a healthy life.

Since the nutrients in salads are beneficial for health, it logically follows that consuming them, especially at the start of the day, would promote a healthy lifestyle.

Hence, I is the cause and II is its possible effect.

The least possible Venn diagram for the given statements is as follows,

Conclusions:

I) Some wheat is brown → False(As, no direct relation given between them so, it is not followed )

II) Some rice is not wheat →  True(As, Some rice is white and No white is wheat. So, Some rice is not wheat is followed)

III) Some brown is not white → False(As, no direct relation is given between them so, it is not followed)

So, Conclusion II will followed.

Hence, the correct answer is "Option 3".

The logic followed here is:

The code for I is : 2

The code for E is : 6

Thus, the code for for E "6".

Hence, the correct answer is "Option 2".

The logic followed here is:

Logic: 1st number + 4 = 2nd number; 2nd number × 3 = 3rd number.

For (7, 11, 33)

→ 7 + 4 = 11

→ 11 × 3 = 33

For (14, 18, 54)

→ 14 + 4 = 18

→ 18 × 3 = 54

Similarly, for (12, 16, 48)

→ 12 + 4 = 16

→ 16 × 3 = 48

Hence, the correct answer is "Option 3".

Meaningful English words can be formed with the letters R, O, W, D, and C using each letter only once in each word is:

1. CROWD → A large group of people gathered together.

So, one meaningful word can be formed using these letters once in each word.

Hence, the correct answer is "Option 2".

The logic followed in the options is:

Symbol inside square 1^st figure is getting thrice in 2^nd figure.

Option1) Symbol inside square in 1st figure is getting thrice in 2nd figure.

Similar logic follows for Option (2) and Option (4)

But, in Option (3)

Symbol inside square in 1st figure is not getting thrice in 2nd figure.

Hence, the correct answer is "Option 3".

The correct answer is Option 2.

 

Key Points

• Passive voice structure: The object of the active voice sentence becomes the subject of the passive voice sentence.
• In the active voice, the sentence is: "Doctors saved many lives during the pandemic."
• To convert to passive voice: Place the object "many lives" at the beginning.
• Change the active verb form "saved" to "were saved" (past simple passive).
• Add the preposition "by" followed by the original subject "doctors."
• Ensure the time phrase "during the pandemic" remains at the end of the sentence for clarity.

Therefore, the correct answer is Option 2.

 

Correct Sentence: "Many lives were saved by doctors during the pandemic."

 

Additional Information

• Option 1: "Many lives have been saved by doctors during the pandemic." – Incorrect tense (present perfect passive).
• Option 3: "Many lives were being saved by doctors during the pandemic." – Incorrect use of past continuous passive.
• Option 4: "Many lives are saved by doctors during the pandemic." – Incorrect tense (present simple passive).

The correct answer is Option 4.

 

Key Points

• Indirect Speech: He will say that he is okay.
• Key Conversions:
• "he is okay" becomes "I am okay"
• Pronoun "he" is changed to "I" to match direct speech.
• Since the reporting verb (He will say) is in future tense the reported speech (he is okay) will have no change in its tense form only verb "is" is changed to "am" to match the present tense in direct speech.
• Punctuation and Format:
• Direct speech is enclosed in quotation marks.
• Starts with a capital letter "I" and ends with a period "."
• Reporting clause follows the quoted speech, starting with a lowercase letter after the comma.

Therefore, the correct answer is Option 4.

The correct answer is Option (2) i.e. of today are leading a miserable life

Key Points

• The sentence begins with "of today," which correctly sets the context of the youth in question.
• Following "of today," the phrase "are leading" comes next, indicating the action being taken by the youth.
• Next, "a miserable life" completes the sentence by describing the condition of the youth.

Therefore, the correct answer is of today are leading a miserable life.

 

Additional Information

• Option 1: "today are leading of a miserable life" is grammatically incorrect as it misplaces the phrase "of today."
• Option 3: "are today leading of a miserable life" is also grammatically incorrect as it misplaces the phrase "of today."
• Option 4: "today are leading a miserable life of" is incorrect because it leaves the sentence incomplete and awkwardly places "of" at the end.

The correct answer is Option (4) i.e. this remote island are deprived of essential commodities needed

Key Points

• The sentence starts with the phrase "this remote island," correctly indicated by part (this remote island).
• Following the subject, "are deprived of essential commodities," continues the logical sequence, making it clear what the people are deprived of.
• The sentence ends with "needed" which completes the sentence by stating what the essential commodities are needed for.

Therefore, the correct answer is this remote island are deprived of essential commodities needed.

 

Additional Information

• Option 1: This option starts with "remote island are deprived of essential commodities needed this," which is grammatically incorrect and does not make logical sense.
• Option 2: This option starts with "this remote island are needed essential commodities deprived of," which creates a fragmented sentence.
• Option 3: This option starts with "this island are deprived of essential commodities needed remote," which is not structured correctly.

The correct answer is 'yet'. 

Key Points

• The adverb "yet" is commonly used in negative sentences to indicate that something has not happened up to the present moment.
• It is placed at the end of the sentence or clause.

Therefore, the correct answer is Option 3.

 

Complete Sentence: "He has not yet returned the money."

 

Additional Information

• Option 1: "still" is incorrect because it is not used in this context in negative sentences.
• Option 2: "only" is incorrect as it does not fit the context of the sentence.
• Option 4: "too" is incorrect because it implies excessiveness, which does not fit the context here.

The correct answer is: Option 1 i.e. Stop working on something.

Key Points

• The idiom "Call it a day" means to stop working on something, usually because the work is complete or it is time to stop. (काम करना बंद कर देना)
• Example: After finishing the report, she decided to call it a day and went home.

Therefore, the correct answer is: Option 1 i.e. Stop working on something.

Additional Information

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

• Begin with an assignment (किसी कार्य को शुरू करना): To start working on a specific task or project.
• Example: She began with an assignment that was due next week.
• Name a particular day (किसी विशेष दिन का नाम लेना): To mention or identify a specific day.
• Example: He named the particular day when the event would take place.
• Involve many people for a simple job (एक साधारण काम के लिए कई लोगों को शामिल करना): To engage more people than necessary for a straightforward task.
• Example: They involved many people for a simple job, making it more complicated than it needed to be.

The correct answer is 'at'.

 

Key Points

• The preposition "at" is used to indicate a specific place or location.
• In this context, "at Mahu" specifies the location where his family lives.

Therefore, the correct answer is Option 1.

 

Complete Sentence: "His family lives at Mahu in Madhya Pradesh."

 

Additional Information

• Option 2: "on" is incorrect because it is not used for indicating a specific location in this context.
• Option 3: "of" is incorrect; it indicates belonging or possession, not location.
• Option 4: "by" is incorrect because it indicates proximity rather than a specific location.

The correct answer is Option 1.

 

Key Points

• The paragraph begins by introducing CV Raman's early life in a specific location, setting the context for his background.
• Sentence Q is the second sentence as it provides the birth details of CV Raman:
• "He was born on 8 November 1888, the second child of R Chandrashekara Iyer and Parvati Ammal."
• Sentence P follows as it details a significant move in his early childhood:
• "When he was four years old, Raman's family moved to Vishakapatnam."
• Sentence S is the fourth sentence because it explains the reason for the family's move:
• "His father took up a job there, as a lecturer in Mrs. AV Narsimha Rao College, where he taught physics, mathematics and physical geography."
• Sentence R is the fifth as it provides additional information about his father:
• "Chandrasekara Iyer was an athletic man and he took active interest in sports."
• The correct sequence is QPSR.

The correct answer is: Option 2.

Key Points

• The word "abolish" means to formally put an end to a system, practice, or institution. (समाप्त करना)
• Example: The government decided to abolish the outdated law.
• "Cancel" refers to deciding or announcing that a planned event will not take place or that an agreement is no longer valid. (रद्द करना)
• Example: The meeting was cancelled due to unforeseen circumstances.
• Hence, we can infer that the synonym of 'abolish' is 'cancel'.

Therefore, the correct answer is: Option 2.

Additional Information

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

• Assist (मदद करना): To help or aid someone.
• Example: She assisted her friend in completing the project.
• Subside (शांत होना): To become less intense, violent, or severe.
• Example: The storm began to subside after a few hours.
• Worship (पूजा करना): The feeling or expression of reverence and adoration for a deity.
• Example: The community gathered to worship at the temple.

The correct answer is Option 2.

 

Key Points

• The primary issue in the sentence is the comparison between "clever" and "wise".
• To make a proper comparison, the phrase should be "more clever than" rather than just "clever than".
• The correct phrase should be "Harish is more clever than wise," ensuring grammatical correctness and clarity.
• So the correct answer is Option 2

 

Correct sentence: Harish is more clever than wise.

The correct answer is Option 2.

 

Key Points

• Indirect Speech: The patient says that he is fine.
• Key Conversions:
• "I am fine" becomes "he is fine"
• Pronoun "I" is changed to "he" to reflect the third person in indirect speech.
• Verb "am" is changed to "is" to match the subject "he".
• Reporting verb:
• Indirect: "says"
• Remains the same as it is in the present tense.
• Punctuation and Format:
• Direct speech is converted to a reported clause.
• Quotation marks are removed in indirect speech.

Therefore, the correct answer is Option 2.

 

Correct Sentence: The patient says that he is fine.

 

Additional Information

• Option 1: The patient says that he will be fine.
• Changes the meaning to future tense, which is incorrect.
• Option 3: The patient says that he would be fine.
• Uses conditional "would" which changes the meaning.
• Option 4: The patient says that he was fine.
• Changes the tense to past, which is incorrect.

The correct answer is Option 1.

 

Key Points

• Passive voice structure: The object of the active voice sentence becomes the subject of the passive voice sentence.
• In the active voice, the sentence is: "I remember my mother taking me to the stadium."
• To convert to passive voice: Place the object "me" at the beginning.
• Change the active verb form "taking" to "being taken" (passive gerund).
• Add the preposition "by" followed by the original subject "my mother."
• Ensure the time phrase "to the stadium" remains at the end of the sentence for clarity.

Therefore, the correct answer is Option 1.

 

Correct Sentence: "I remember being taken to the stadium by my mother."

 

Additional Information

• Option 2: "I was taken to the stadium by mother that I remembered." – Incorrect structure and meaning.
• Option 3: "My mother remembered me taken to the stadium." – Incorrect subject and verb form.
• Option 4: "I was remembered being taken to the stadium by my mother." – Incorrect structure and meaning.

The correct answer is: Option 3 i.e. Proponent.

Key Points

• The word "exponent" means a person who supports an idea, theory, or cause and tries to persuade others of its value and importance. (समर्थक)
• Example: She is a leading exponent of modern art.
• "Proponent" refers to a person who advocates for or supports a theory, proposal, or course of action. (समर्थक)
• Example: He is a strong proponent of renewable energy sources.
• Hence, we can infer that 'exponent' is synonymous with 'proponent'.

Therefore, the correct answer is: Option 3.

Additional Information

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

• Cease (रोकना): To stop or bring to an end.
• Example: The company will cease operations next month.
• Terminate (समाप्त करना): To bring something to an end.
• Example: The contract will terminate at the end of the year.
• Conclude (निष्कर्ष निकालना): To bring to an end, especially in a formal way.
• Example: The meeting concluded with a vote of thanks.

The correct answer is 'Option 3'.

 

Key Points

• The sentence requires an article before "state" and "hour".
• The article "a" is used before "state" because it is a singular, countable noun.
• The article "an" is used before "hour" because "hour" starts with a vowel sound.

Therefore, the correct answer is Option 3.

 

Complete Sentence: "I was in a state of unconsciousness for about half an hour."

 

Additional Information

• Option 1: "the ; a" is incorrect because "the" is not appropriate before "state" in this context.
• Option 2: "a ; No article" is incorrect because "an" is necessary before "hour".
• Option 4: "No article ; an" is incorrect because "a" is necessary before "state".

The correct answer is: Option 4 i.e. enemies’.

Key Points

• The word "allies" means people, groups, or nations that have joined together in an association for mutual benefit or to achieve a common aim. (मित्र)
• Example: The two nations were allies during the war, supporting each other with resources and strategic planning.
• "Enemies" refers to individuals or groups that are hostile to one another; adversaries or opponents. (दुश्मन)
• Example: Throughout history, these two nations have been bitter enemies, clashing repeatedly over territorial disputes.
• Hence, we can infer that the opposite of 'allies' is 'enemies'.

Therefore, the correct answer is: Option 4 i.e. enemies’.

Additional Information

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

• Fellows’ (साथी): People who share a particular activity, quality, or condition.
• Example: He and his fellows worked tirelessly to ensure the success of the project.
• Scholars’ (विद्वान): People who are highly educated or have an aptitude for study.
• Example: The scholars gathered at the conference to discuss the latest research findings.
• Buddies’ (दोस्त): Informal term for friends.
• Example: He and his childhood buddies have stayed in touch over the years, meeting up whenever they can.

The correct answer is option 4.

Key Points

The misspelled words are 'wimsical', 'natur', and 'atitude'.

• The correct spellings would be 'whimsical', 'nature', and 'attitude'.
• The word 'whimsical' is an adjective which means 'playfully quaint or fanciful, especially in an appealing and amusing way'. (अजीब)
• For Example -
• Her whimsical sense of humor made everyone laugh.
• The word 'nature' is a noun which means 'the inherent or essential qualities or character of something'. (स्वभाव)
• For Example -
• It is not in his nature to be unkind.
• The word 'attitude' is a noun which means 'a settled way of thinking or feeling about something'. (रवैया)
• For Example -
• Her positive attitude towards life is inspiring.
• Therefore, the correct sentence is: He is whimsical by nature. No one can seek an explanation from him for his absurd attitude towards others.

The correct answer is 'Now'.

 

Key Points

• The adverb "Now" indicates a present action that is about to take place.
• The sentence implies an immediate action, making "Now" the most appropriate choice.
• Options 1, 3, and 4 are grammatically incorrect in this context.

Therefore, the correct answer is Option 2.

 

Complete Sentence: "Now, I'm going to walk my dog."

 

Additional Information

• Option 1: "Annually" is incorrect because it refers to something that happens once a year.
• Option 3: "Rarely" is incorrect because it indicates infrequent actions, not immediate ones.
• Option 4: "Already" is incorrect because it suggests that the action has been completed.

The correct answer is Option (2) i.e. bus which I usually board and had to wait for an hour

Key Points

• The sentence begins with the subject "bus which I usually board," which is correctly indicated by part (bus which I usually board).
• Following the subject, "and had to wait for an hour" (and had to wait for an hour) continues the logical sequence, making it clear what the speaker had to do.

Therefore, the correct answer is bus which I usually board and had to wait for an hour.

 

Additional Information

• Option 1 (bus which I board and had to wait for an usually hour): This option has a grammatical error with "an usually hour" which should be "an hour usually."
• Option 3 (hour and had to wait for an bus which I usually board): This option starts with "hour," which makes the sentence incorrect as the subject is misplaced.
• Option 4 (bus I usually board which had to wait for an hour and): This option ends with "and," which creates an incomplete and confusing sentence structure.

The correct answer is option 3.

Key Points

The misspelled word is 'implusive'.

• The correct spelling would be 'impulsive'.
• The word 'impulsive' is an adjective which means 'acting or done without forethought'.
• For Example -
• He made an impulsive decision to quit his job.
• Therefore, the correct answer would be 'implusive'.

 

Additional Information

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

• Intuition - the ability to understand something instinctively, without the need for conscious reasoning.
• Instinctual - relating to or denoting an innate, typically fixed pattern of behavior; based on instinct.
• Initiative - the ability to assess and initiate things independently.

The correct answer is 'the'.

 

Key Points

• The word "the" is a definite article used to specify a noun that is known to the reader.
• In this context, "the" is used to specify a particular group of people, i.e., the poor.
• The other options: "some," "all," and "its" do not fit the context as appropriately.

​Therefore, the correct answer is 'Option 1'.

Complete Sentence: The rising rate of inflation is making life very hard for the poor.

Additional Information

• Some: means an unspecified amount or number of.
• All: means the whole quantity or extent of.
• Its: means belonging to or associated with a thing previously mentioned or easily identified.

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

Key Points

• The word "dingy" means something that is gloomy, dismal, or lacking brightness and cleanliness. (मैला, अंधेरा)
• Example: The old, dingy curtains made the room look even more depressing.
• "Dreary" refers to something that is dull, bleak, and lifeless; depressing in character or appearance. (उदासीन)
• Example: The dreary weather made everyone feel sluggish and unmotivated.
• Hence, we can infer that the most appropriate synonym for 'dingy' is 'dreary'.

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

Additional Information

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

• Pure (शुद्ध): Free from any contamination or impurities.
• Example: The water from the mountain spring is so pure and refreshing.
• Sterile (निष्फल): Free from bacteria or other living microorganisms; totally clean.
• Example: Surgeons work in a sterile environment to prevent infections.
• Bright (चमकदार): Giving out or reflecting a lot of light; shining.
• Example: The bright sunlight filled the room with warmth and cheerfulness.

The correct answer is 'brakes; breaks'.

 

Key Points

• The word "brakes" refers to the mechanical devices used to stop or slow down a vehicle.
• The word "breaks" refers to the act of causing something to separate into pieces or stop functioning.
• Options 1, 3, and 4 are incorrect because they do not correctly differentiate between the two meanings.

Therefore, the correct answer is Option 2.

 

Complete Sentence: "It’s funny how every time he fails to apply the brakes and breaks the glass."

The correct answer is Option 2.

 

Key Points

• The primary issue in the sentence is the use of the phrase "set away."
• The correct phrase should be "set aside," which means to annul or void a decision.
• The correct phrase should be "The Supreme Court set aside the verdict of the High Court," ensuring grammatical correctness and clarity.
• Thus, the error is located in Option 2 of the sentence.

Therefore, the correct answer is Option 2.

 

Correct Sentence: "The Supreme Court set aside the verdict of the High Court and agreed to hear the plea of the complainant."

 

Additional Information

• Option 1: "the verdict of the High Court" – This part of the sentence is grammatically correct and does not require any changes.
• Option 3: "of the complainant" – This part of the sentence is grammatically correct and does not require any changes.
• Option 4: "and agreed to hear the plea" – This part of the sentence is grammatically correct and does not require any changes.

The correct answer is: Option 2 i.e. 'put out'.

Key Points

• The word "put out" means to extinguish something, especially a fire. (बुझाना)
• Example: The firefighters were able to put out the fire quickly.

Therefore, the correct answer is: Option 2 i.e. 'put out'.

Additional Information

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

• Put in (लगाना/डालना): To install or insert something.
• Example: The workers put in a new floor in the kitchen.
• Put off (स्थगित करना): To postpone something to a later time.
• Example: The event was put off due to bad weather.
• Put on (पहनना/बढ़ना): To wear or gain something.
• Example: She put on her glasses to read the document.

The correct answer is Option 2.

 

Key Points

• Passive voice structure: The object of the active voice sentence becomes the subject of the passive voice sentence.
• In the active voice, the sentence is: "The new sunshades have protected our windows during the rainy season."
• To convert to passive voice: Place the object "our windows" at the beginning.
• Change the active verb form "have protected" to "have been protected" (present perfect passive).
• Add the preposition "by" followed by the original subject "the new sunshades."
• Ensure the time phrase "during the rainy season" remains at the end of the sentence for clarity.

Therefore, the correct answer is Option 2.

 

Correct Sentence: "Our windows have been protected by the new sunshades during the rainy season."

 

Additional Information

• Option 1: "Our windows are being protected by the new sunshades during the rainy season." – Incorrect tense (present continuous passive).
• Option 3: "Our windows are being protected by the new windows during the rainy season." – Incorrect subject ("new windows" instead of "new sunshades").
• Option 4: "Our sunshades have been protected by the new windows during the rainy season." – Incorrect subject and object swap.

The correct answer is option 3.

Key Points

The misspelled word is 'morning'.

• The correct spelling would be 'mourning'.
• The word 'mourning' is a noun which means 'the expression of deep sorrow for someone who has died'. (शोक)
• For Example -
• I have been mourning the death of my pet dog.
• Therefore, the correct answer would be 'mourning'.

 

Additional Information

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

• Habitats - the natural home or environment of an animal, plant, or other organism (निवास)
• Significant - sufficiently great or important to be worthy of attention; noteworthy (महत्वपूर्ण)
• Mitigating - having the effect of making something bad less severe, serious, or painful (कम करना)