SSC CGL Undated PYQs

Question 1

If x = 1 – y and x2 = 2 – y2, then what is the value of xy?

Accepted Answer

Rearrange to x + y = 1 and x² + y² = 2. Using the identity (x+y)² = x² + y² + 2xy, we get 1² = 2 + 2xy. Solving gives 2xy = -1, so xy = -1/2.

Question 2

Accepted Answer

In this matrix coding question, check the row and column numbers for each letter. Option 3 correctly represents all the letters of the given word.

Question 3

How many numbers are there between 1 to 200 which are divisible by 3 but not by 7?

Accepted Answer

Find numbers divisible by 3: 200/3 = 66. Then find numbers divisible by both 3 and 7 (LCM = 21): 200/21 = 9. Subtract them: 66 - 9 = 57.

Question 4

Select the related number from the given alternatives. 12.5 : 6.25 :: 7 : ?

Accepted Answer

The pattern is dividing the first number by 2 to get the second number. 12.5 ÷ 2 = 6.25. Similarly, 7 ÷ 2 = 3.5.

Question 5

A boat goes 4 km upstream and 4 km downstream in 1 hour. The same boat goes 5 km downstream and 3 km upstream in 55 minutes. What is the speed (in km/hr) of boat in still water?

Accepted Answer

Let upstream speed be U and downstream be D. 4/U + 4/D = 1 and 3/U + 5/D = 11/12. Solving gives D = 12, U = 6. Boat speed = (12+6)/2 = 9 km/hr.

Question 6

In April 2016, amid rising tension over North Korea, which country launched its ﬁrst domestically built aircraft carrier?

Accepted Answer

In April 2016, China launched its first domestically built aircraft carrier, the Type 001A (later named Shandong), amidst regional tensions involving North Korea.

Question 7

China does not share its border with which Indian state?

Accepted Answer

China shares its borders with Ladakh, Himachal Pradesh, Uttarakhand, Sikkim, and Arunachal Pradesh. Bihar shares its international border only with Nepal, not China, making it the correct answer.

Question 8

A trader had 1200 kgs of rice. He sold a part of it at 5% proﬁt and the rest at 11% proﬁt, so that he made a total proﬁt of 7%. How much (in kg) wheat did he sell at 5% proﬁt?

Accepted Answer

Using alligation, the ratio of quantities sold at 5% and 11% is (11 - 7) : (7 - 5) = 4 : 2 = 2 : 1. Quantity at 5% = (2/3) × 1200 = 800 kg.

Question 9

Three bottles of equal capacity containing mixture of milk and water in ratio 2 : 5, 3 : 4 and 4 : 5 respectively. These three bottles are emptied into a large bottle. What will be the ratio of milk and water respectively in the large bottle?

Accepted Answer

Equate the capacities using the LCM of the sum of ratios (7, 7, 9), which is 63. Total milk = 18 + 27 + 28 = 73. Total water = 45 + 36 + 35 = 116. Ratio is 73:116.

Question 10

Select the related word from the given alternatives. Swim : Water :: Fly : ?

Accepted Answer

Just as swimming is an action performed in the water, flying is an action performed in the air. The relationship is 'Action : Medium'.

Question 11

The sum of a non-zero number and twenty times its reciprocal is 9. What is the number?

Accepted Answer

Let the number be x. The equation is x + 20/x = 9, which simplifies to x^2 - 9x + 20 = 0. The roots are 4 and 5. Option 4 matches.

Question 12

The study of individual markets of demand and supply in which the 'players', or the decision makers, were also individuals (buyers or sellers, even companies) who were seen as trying to maximize their profits (as producers or sellers) and their personal satisfaction or welfare levels (as consumers) is called?

Accepted Answer

Microeconomics focuses on the behavior of individual consumers and firms in making decisions regarding the allocation of scarce resources, aiming to maximize personal satisfaction or profits.

Question 13

Which National Park in Nepal is a continuation of India's Valmiki National Park?

Accepted Answer

Chitwan National Park in Nepal is contiguous with India's Valmiki National Park in Bihar, forming a major transboundary conservation area for tigers and rhinos.

Question 14

A can do a work in 12 days and B in 24 days. If they work on it together for 4 days, then what fraction of work is left?

Accepted Answer

Total work = LCM(12, 24) = 24 units. A's efficiency = 2, B's = 1. Together they do 3 units/day. In 4 days, they complete 12 units. Fraction left = (24 - 12)/24 = 1/2.

Question 15

What is the value of Cot 60o - Cos 45o?

Accepted Answer

We know Cot 60° = 1/√3 and Cos 45° = 1/√2. Subtracting them gives (1/√3) - (1/√2) = (√2 - √3)/√6.

Question 16

Brownish ﬁlm formed on iron when left in open is called?

Accepted Answer

When iron is exposed to oxygen and moisture in the air, it undergoes oxidation to form iron oxide, commonly known as rust, which appears as a brownish film.

Question 17

According to the categories of land mentioned in the Chola inscriptions ___________ was known as the land of non-Brahmana peasant proprietors?

Accepted Answer

In Chola inscriptions, Vellanvagai was land for non-Brahmana peasant proprietors. Brahmadeya was gifted to Brahmanas, Shalabhoga for school maintenance, and Devadana was gifted to temples.

Question 18

Who among the following was awarded with Dhronacharya Award 2016 in the field of 'Swimming (Lifetime)'?

Accepted Answer

Shri S. Pradeep Kumar received the Dronacharya Award in 2016 for his lifetime contribution to swimming. The award recognizes outstanding coaches in sports.

Question 19

What is the difference (in Rs) between the compound interests on Rs. 4000 for 1 year at 12% per annum compounded yearly and half-yearly?

Accepted Answer

For half-yearly compounding, the rate is 6% for 2 cycles. Effective rate = 6+6+(36/100) = 12.36%. Yearly rate is 12%. The difference is 0.36% of 4000, which equals 14.4.

Question 20

Edward Jenner discovered vaccine for which of the following disease?

Accepted Answer

Edward Jenner discovered the smallpox vaccine in 1796, which was the world's first successful vaccine. He used cowpox material to create immunity against smallpox.