SSC CGL Undated PYQs

Question 1

The ratio of number of cans of orange, pineapple and mixed fruit juices kept in a store is 8 : 9 : 15. If the store sells 25%, 33.33% and 20% of orange, pineapple and mixed fruit juices cans respectively, then what is the ratio of number of cans of these juices in the remaining stock? ?

Accepted Answer

Calculate remaining quantities: Orange is 75% of 8 = 6. Pineapple is 66.67% (2/3) of 9 = 6. Mixed fruit is 80% of 15 = 12. The new ratio is 6:6:12, which simplifies to 1:1:2.

Question 2

Sultan Mahmud was a ruler of_____.

Accepted Answer

Sultan Mahmud, also known as Mahmud of Ghazni, was the ruler of the Ghaznavid Empire. He ruled from the city of Ghazni in present-day Afghanistan and is famous for his invasions of India.

Question 3

A fraction is greater than its reciprocal by 9/20. What is the fraction?

Accepted Answer

Let the fraction be x. Given x - 1/x = 9/20. Checking options, if x = 5/4, then 5/4 - 4/5 = (25-16)/20 = 9/20. Thus, 5/4 is correct.

Question 4

Two trains are moving in the opposite direction at speed of 30 km/hr and 45 km/hr respectively, whose lengths are 450 m and 550 m respectively. What is the time taken (in seconds) by slower train to cross the faster train?

Accepted Answer

Relative speed in opposite directions is 30 + 45 = 75 km/hr, which is 125/6 m/s. Total distance is 450 + 550 = 1000 m. Time = 1000 / (125/6) = 48 seconds.

Question 5

Select the related letters from the given alternatives. WUV : TRS :: QOP : ?

Accepted Answer

Each letter in the first term is shifted backward by 3 positions to get the second term (W-3=T, U-3=R, V-3=S). Applying this to QOP gives NLM.

Question 6

ax + 3y = 6 has slope -2/3. What is the value of a?

Accepted Answer

The equation ax + 3y = 6 can be rewritten as y = (-a/3)x + 2. The slope is -a/3. Equating -a/3 = -2/3 gives a = 2.

Question 7

If 'P 3 Q' means 'P is daughter of Q', 'P 5 Q' means 'P is father of Q', 'P 7 Q' means 'P is mother of Q' and 'P 9 Q' means 'P is sister of Q', then how is J related to K in J 3 L 9 N 3 O 5 K?

Accepted Answer

J is L's daughter. L is N's sister, and N is O's daughter, making L, N, and K siblings (O is their father). Thus, J is K's sister's daughter, i.e., niece.

Question 8

In the following question, select the odd letters from the given alternatives.

Accepted Answer

In all options except LNQ, the letters follow a +2, +2 pattern (e.g., F+2=H, H+2=J). LNQ follows a +2, +3 pattern, making it the odd one out.

Question 9

Analysts believe that if candidate E had not stood in the fray then votes that he got would have been equally divided between F and C, then what would have been the result?

Accepted Answer

Add half of E's votes to F's original votes. Compare this new total with the other candidates' votes. F's new total exceeds the nearest competitor by exactly 2000 votes, making F the winner.

Question 10

A peace treaty between Japan and which country has not been concluded yet, even after 70 years have passed since the end of World War Two?

Accepted Answer

Japan and Russia never signed a formal peace treaty after WWII due to the ongoing territorial dispute over the Kuril Islands, which both nations claim.

Question 11

If x/2 - [4(15/2 - x/3)]/3 = -x/18, then what is the value of x?

Accepted Answer

Simplify the equation: x/2 - 10 + 4x/9 = -x/18. Multiply the entire equation by 18 to get 9x - 180 + 8x = -x. Solving this gives 18x = 180, so x = 10.

Question 12

Select the related number from the given alternatives. 77 : 84 :: 121 : ?

Accepted Answer

The pattern is 11 × x : 12 × x. Here, 11 × 7 = 77 and 12 × 7 = 84. Similarly, 11 × 11 = 121, so the next number is 12 × 11 = 132.

Question 13

An image formed by a concave mirror on a screen is called __________?

Accepted Answer

Images that can be projected or obtained on a screen are always real images. Concave mirrors form real images when the object is placed beyond the focal point.

Question 14

If (x + y)2 = xy + 1 and x3 – y3 = 1, then what is the value of x – y?

Accepted Answer

Expand (x + y)² = xy + 1 to get x² + y² + xy = 1. Using the identity x³ - y³ = (x - y)(x² + y² + xy), substitute the values to get (x - y)(1) = 1, so x - y = 1.

Question 15

In the following question, select the missing number from the given series. 9, 10, 13, 22, 49, ?

Accepted Answer

The differences between consecutive terms are 1, 3, 9, and 27, which are powers of 3. The next difference is 81. Thus, 49 + 81 = 130.

Question 16

Soap bubble attains spherical shape due to ______.

Accepted Answer

Surface tension minimizes the surface area of a liquid. For a given volume, a sphere has the minimum surface area, causing soap bubbles to naturally form spherical shapes.

Question 17

Who discovered Insulin?

Accepted Answer

Frederick Banting, along with Charles Best, discovered insulin in 1921. This groundbreaking medical discovery revolutionized the treatment of diabetes, saving countless lives worldwide.

Question 18

In a certain code language, "WILDHORN" is written as "1133" and "RAPTURE" is written as "1089". How is "PORTLOUIS" written in that code language?

Accepted Answer

The logic is to find the sum of the positional values of the letters and multiply by 11. For PORTLOUIS, sum = 16+15+18+20+12+15+21+9+19 = 145. 145 × 11 = 1595.

Question 19

______________ scheme launched by the Central Government to eliminate open defecation by constructing toilets for households, communities.

Accepted Answer

Swachh Bharat Abhiyan was launched on October 2, 2014, by the Government of India to achieve universal sanitation coverage and eliminate open defecation by building toilets.

Question 20

Who is called as 'Father of Modern Computer'?

Accepted Answer

Charles Babbage is known as the 'Father of the Computer' because he conceptualized and invented the first mechanical computer, the Analytical Engine, in the early 19th century.