SSC GD 2023 PYQs

Question 1

In how much time (in years) would ₹80,000 amount to ₹1,17,128 at 10% per annum rate of interest, compounded yearly?

Accepted Answer

Use the compound interest formula A = P(1 + R/100)^T. Substitute the given values: 117128 = 80000(1 + 10/100)^T. Simplify to (1.1)^T = 1.4641. Recognize that 1.4641 is (1.1)^4, so T = 4 years.

Question 2

A shopkeeper sells goods at a profit of 12% and uses a weight that is 15% less than the original weight. Find his total percentage gain. (Correct to 2 decimal places)

Accepted Answer

Assume CP of 1000g is Rs 1000. Shopkeeper sells 850g (15% less) for Rs 1120 (12% profit). Total profit is (1120-850)/850 * 100 = 31.76%.

Question 3

The volumes of two cones are in the ratio of 3 ∶ 2 and their radii are in the ratio 3 ∶ 4. The ratio of their heights is:

Accepted Answer

The volume of a cone is (1/3)πr²h. Set up the ratio of volumes V1/V2 = (r1²/r2²) * (h1/h2). Substitute given ratios (3/2) = (3²/4²) * (h1/h2) and solve for h1/h2.

Question 4

A and B together can do a piece of the work in 50 hours, B and C together can do the same work in 75 hours and A and C together can do the same in 25 hours. Find the time in which A, B, and C together will complete the task.

Accepted Answer

Calculate individual work rates. Sum (A+B), (B+C), (A+C) rates to get 2(A+B+C)'s rate. Divide total work (LCM of 50, 75, 25 = 150) by (A+B+C)'s rate to find the time.

Question 5

Arun bought a laptop from Sanchit for Rs. 1,12,500. Sanchit earned a profit of 25% on the laptop. Raman sold the laptop to Sanchit at a gain of 20%. How much did Raman pay to buy the laptop?

Accepted Answer

Sanchit's selling price (Arun's cost) is Rs. 1,12,500. Sanchit's profit was 25%, so Sanchit's cost was 112500 / 1.25 = Rs. 90,000. Raman sold to Sanchit at 20% profit, so Raman's cost was 90000 / 1.20 = Rs. 75,000.

Question 6

What is the HCF of‌45,‌815,‌235?

Accepted Answer

The HCF of 45, 815, and 235 is found by prime factorization. 45 = 3² × 5, 815 = 5 × 163, 235 = 5 × 47. The common prime factor is 5. Thus, HCF is 5.

Question 7

A vegetable vendor does his sales using a weight which is 12% less than the actual weight and earns a profit of 32% on the cost price. Find the total profit percentage?

Accepted Answer

Assume actual weight is 100 units. Vendor sells 88 units but charges for 100. This gives a profit of (100-88)/88 = 12/88 = 13.63%. Combined with 32% profit, total profit is (1.1363 * 1.32 - 1) * 100 = 50%.

Question 8

The marked price of an article is 25% above its cost price. If it is sold for ₹450 with a profit of 6.4%, then the discount percent is closest to:

Accepted Answer

Calculate Cost Price (CP) from Selling Price (SP) and profit. Then find Marked Price (MP) from CP. Finally, calculate discount percentage using MP and SP. The discount is approximately 15%.

Question 9

If the increase in the percentage of the consumption of a commodity is 25% so that overall budget does not change, then the price of the commodity falls by:

Accepted Answer

To keep the budget constant, if consumption increases by 25% (1/4), the price must decrease by 1/5 of the new consumption. This is (1/5) * 100% = 20%.

Question 10

A dealer marked the price of an item 45% more than its cost price and sold it by allowing a discount of 20%. Find his profit percentage.

Accepted Answer

Assume CP is 100. Marked Price (MP) = 100 + 45% of 100 = 145. Selling Price (SP) = 145 - 20% of 145 = 145 - 29 = 116. Profit = SP - CP = 116 - 100 = 16. Profit percentage = 16%.

Question 11

5 bells start commencing together at 9 AM. They ring at intervals of 12 seconds, 18 seconds, 24 seconds, 36 seconds, and 45 seconds. At what time do the bells ring together again?

Accepted Answer

Find the LCM of 12, 18, 24, 36, and 45 seconds, which is 360 seconds. Convert 360 seconds to minutes (6 minutes). Add 6 minutes to the starting time of 9 AM.

Question 12

If A ∶ B = 5 ∶ 6 and B ∶ C = 6 ∶ 7, then (A + B) ∶ (B + C) ∶ (C + A) is:

Accepted Answer

Given A:B = 5:6 and B:C = 6:7, we can directly take A=5, B=6, C=7. Substitute these values into (A+B):(B+C):(C+A) to get (5+6):(6+7):(7+5) = 11:13:12.

Question 13

In an election, there were two candidates A and B. The total number of voters in the constituency was 90000 and 70% of the total votes were polled. If 60% of the polled votes were cast in favour of A, how many votes were received by B?

Accepted Answer

Total votes polled = 70% of 90000 = 63000. If A got 60% of polled votes, B got 40%. So, B's votes = 40% of 63000 = 25200.

Question 14

Find the difference between the greatest and the smallest 4-digit numbers exactly divisible by 36 and 48.

Accepted Answer

Find the LCM of 36 and 48, which is 144. The smallest 4-digit multiple is 144 × 7 = 1008. The largest 4-digit multiple is 144 × 69 = 9936. Their difference is 9936 - 1008 = 8928.

Question 15

A bus can run 20% faster than a bike. Both start from the same place at the same time and reach the same destination 60 km away at the same time. On the way, however, the bus stops at the stations for 10 minutes. The speed of the bike is:

Accepted Answer

Let bike speed be V. Bus speed is 1.2V. Bus travels for 10 minutes less than bike. Time = Distance/Speed. 60/V - 60/(1.2V) = 10/60 hours. Solving this equation gives V = 60 km/h.

Question 16

What is the average of the first six even numbers?

Accepted Answer

The first six even numbers are 2, 4, 6, 8, 10, 12. Their sum is 42. Divide the sum by 6 (number of terms) to get the average, which is 7.

Question 17

A and B can complete a work in 18 days and 36 days respectively. They work together for 8 days and then A leaves. How many days will B take to complete the rest of the work?

Accepted Answer

A's 1-day work is 1/18, B's is 1/36. Together, they do (1/18 + 1/36) = 3/36 = 1/12 work per day. In 8 days, they complete 8 * (1/12) = 2/3 of the work. Remaining work is 1 - 2/3 = 1/3. B completes 1/3 work in (1/3) / (1/36) = 12 days.

Question 18

In an election between A and B, B secured 16,200 votes and defeated A by 8% of the total votes. If there are no invalid votes, what is the difference in votes between A and B?

Accepted Answer

B defeated A by 8% of total votes, meaning the difference is 8% of total votes. B's votes are 16200. If B won by 8%, B got (50+4)% = 54% of total votes. Total votes = 16200 / 0.54 = 30000. Difference = 8% of 30000 = 2400.

Question 19

If the curved surface area of a sphere with radius R1unit is the same as the total surface area of another hemisphere with radius R2, then the R2is:

Accepted Answer

The curved surface area of a sphere is 4πR1². The total surface area of a hemisphere is 3πR2². Equating them, 4πR1² = 3πR2², which simplifies to R2 = (2/√3)R1. Option 1 is incorrect.

Question 20

In a bag of rice of Rs. 70 per kg, two different types are mixed. First type of rice is 8 kg in quantity of Rs.60 per kg, while the second type of rice is 4 kg in quantity. What is the price per kg of the second type of rice?

Accepted Answer

Total cost of the mixture is 70 * (8+4) = 840. Cost of first type is 8 * 60 = 480. Cost of second type is 840 - 480 = 360. Price per kg of second type is 360 / 4 = 90.