SSC GD 2024 PYQs

Question 1

A can do a piece of work in 7 hours, B and C can do it in 21/4 hours, and C and A can do it in 7/2 hours. How long will B alone take to do it?

Accepted Answer

Calculate individual work rates. A's rate is 1/7. (B+C)'s rate is 4/21. (C+A)'s rate is 2/7. Find C's rate from (C+A)-A, then B's rate from (B+C)-C. B's time is 1/B's rate.

Question 2

The simple interest on a certain sum of money is Rs. 2275 at 13% per annum in 5 years. Find the sum of money.

Accepted Answer

Use the simple interest formula: SI = (P * R * T) / 100. Substitute the given values (SI=2275, R=13, T=5) and solve for P. P = (2275 * 100) / (13 * 5) = 3500.

Question 3

Two trains are running in opposite direction with the same speed. If the length of each train is 320 metres and they cross each other in 18 seconds, then what is the speed of each train?

Accepted Answer

Total distance is 320m + 320m = 640m. Relative speed = 640m / 18s = 35.56 m/s. Since speeds are equal, each train's speed is 35.56/2 m/s = 17.78 m/s. Convert to km/hr: 17.78 * (18/5) = 64 km/hr.

Question 4

If 45 percent of X is equal to 15 percent of Y, then what is the value of X : Y?

Accepted Answer

Set up the equation: 45% of X = 15% of Y. This simplifies to 0.45X = 0.15Y. Divide both sides by 0.15Y to get X/Y = 0.15/0.45 = 1/3. So, X:Y = 1:3.

Question 5

What is the value of [19 × {24 ÷ 4 of (24 × 4 ÷ 16)}] ?

Accepted Answer

Apply BODMAS: first solve 'of', then division/multiplication from left to right. (24 × 4 ÷ 16) = 6. Then 4 of 6 = 24. So, 19 × {24 ÷ 24} = 19 × 1 = 19.

Question 6

Find the height of the triangle whose base is‌57th of its height and whose area is 18.207 cm2.

Accepted Answer

Let height be 'h'. Base = (5/7)h. Area = (1/2) * base * height. Substitute values: 18.207 = (1/2) * (5/7)h * h. Solve for h, which gives h = 7.14 cm.

Question 7

Which of the following number is not divisible by 11?

Accepted Answer

Apply the divisibility rule of 11: (sum of digits at odd places) - (sum of digits at even places) must be 0 or a multiple of 11. For 2763, (3+7) - (6+2) = 10 - 8 = 2, which is not divisible by 11.

Question 8

S1 alone can do a work in 16 days and S2 alone can do the same work in 80 days. With help of S3, they finish the same work in 6 days. In how many days S3 alone can do the same work?

Accepted Answer

Calculate the combined work rate of S1 and S2. Subtract this from the combined rate of S1, S2, and S3 to find S3's rate. Then, find the reciprocal to get S3's time.

Question 9

The ages of 7 men in a cricket team are 26, 25, 21, 29, 24, 28 and 22. What is their average age?

Accepted Answer

Sum all ages (26+25+21+29+24+28+22 = 175) and divide by the number of men (7). 175 / 7 = 25. So, the average age is 25.

Question 10

What is the value of (0.5)2+ (0.05)2?

Accepted Answer

Calculate (0.5)^2 = 0.25 and (0.05)^2 = 0.0025. Adding these gives 0.25 + 0.0025 = 0.2525.

Question 11

If the cost price of 5 shirts is the same as the selling price of 3 shirts, find the profit percentage.

Accepted Answer

Let CP of 1 shirt be Re 1. Then CP of 5 shirts = Rs 5. SP of 3 shirts = Rs 5. SP of 1 shirt = 5/3. Profit = (5/3 - 1) = 2/3. Profit % = (2/3)/1 * 100 = 66.67%.

Question 12

If the original price of a watch is Rs. 500 and it is increased by 10%, then decreased by 15%, what is the final price?

Accepted Answer

First, increase Rs. 500 by 10% to get Rs. 550. Then, decrease Rs. 550 by 15% (which is Rs. 82.50) to find the final price of Rs. 467.50.

Question 13

If M ∶ N = 9 ∶ 6, then what is the value of (M + N) ∶ (M - N)?

Accepted Answer

Substitute M=9 and N=6 into the expression (M+N) : (M-N). This gives (9+6) : (9-6), which simplifies to 15 : 3. Dividing both by 3 yields 5 : 1.

Question 14

Swapnil can build a sofa in 16 days. Working together with Revathi he can finish the work in 128/17 days. Find the number of days taken by Revathi to complete the work if she works alone.

Accepted Answer

Swapnil's 1-day work is 1/16. Together, their 1-day work is 17/128. Revathi's 1-day work is (17/128) - (1/16) = (17-8)/128 = 9/128. So, Revathi takes 128/9 days.

Question 15

If 18 men can finish a work in 13 days. Then in how many days will 54 men finish the same work?

Accepted Answer

The total work is constant. Work = Men × Days. So, 18 men × 13 days = 54 men × D days. Solving for D gives 13/3 days.

Question 16

On Selling a book at 16/25 of the marked price there is a loss. What will be the ratio of marked price and selling price of the book?

Accepted Answer

The selling price (SP) is 16/25 of the marked price (MP). So, SP = (16/25) * MP. Rearranging gives MP/SP = 25/16, or 25:16.

Question 17

Average of 4 numbers is 24. Average of first 2 numbers is double of the average of last 2 numbers. What is the sum of last 2 numbers?

Accepted Answer

Total sum of 4 numbers is 4 * 24 = 96. Let the sum of last two numbers be S. Then the sum of first two numbers is 2S. So, 2S + S = 96, which means 3S = 96. Thus, S = 32.

Question 18

What is the value of [289 ÷ {68 ÷ 4 × (14 + 2 × 6 - 9)}]?

Accepted Answer

Follow BODMAS: first solve the innermost parenthesis (14 + 12 - 9 = 17). Then the curly bracket {68 ÷ 4 × 17 = 17 × 17 = 289}. Finally, 289 ÷ 289 = 1.

Question 19

Marked price of a chair is Rs. 2000. After giving two successive discounts of 20 percent and x percent, the chair is sold for Rs. 1400. What is the value of x?

Accepted Answer

After the first 20% discount on Rs. 2000, the price becomes Rs. 1600. The second discount reduces Rs. 1600 to Rs. 1400, which is a Rs. 200 discount. So, x = (200/1600) * 100 = 12.5%.

Question 20

A train of length 384 metres crosses an electric pole in 12 seconds and crosses another train of the same length travelling in opposite direction in 12 seconds. What is the speed of the second train?

Accepted Answer

First train's speed is 384m / 12s = 32 m/s. When crossing another train, total distance is 384+384 = 768m. Relative speed = 768m / 12s = 64 m/s. Since they move in opposite directions, relative speed is sum of individual speeds. So, second train's speed = 64 - 32 = 32 m/s.