SSC CGL Undated PYQs

Question 1

A train of length 100 m crosses another train of length 150 m, running on a parallel track in the opposite direction in 9 seconds. If the speed of train having length 150 m is 40 km/hr, then what is the speed (in km/hr) of the other train?

Accepted Answer

Total distance = 100 + 150 = 250 m. Relative speed = 250/9 m/s = (250/9) × (18/5) = 100 km/hr. In opposite directions, speeds add up: S1 + 40 = 100, so S1 = 60 km/hr.

Question 2

Who wrote 'Nyaya Sutra'?

Accepted Answer

The 'Nyaya Sutra' is an ancient Indian Sanskrit text composed by Akshapada Gautama. It is the foundational text of the Nyaya school of Hindu philosophy, focusing on logic and epistemology.

Question 3

If the 3rd and the 5th term of an arithmetic progression are 13 and 21, what is the 13th term?

Accepted Answer

Let first term be a and common difference d. a+2d=13 and a+4d=21. Solving gives d=4 and a=5. The 13th term is a+12d = 5+48 = 53.

Question 4

Why does water tank appear shallower when viewed from the top?

Accepted Answer

Light rays bend when moving from water (denser) to air (rarer), causing refraction. This bending makes the bottom of the tank appear raised, making it look shallower.

Question 5

In a match, average of runs scored by 7 players is 53. If the runs scored by 6 players are 121, 40, 26, 56, 37 and 48, then how many runs did the 7th player scored? ?

Accepted Answer

Total runs of 7 players = 7 × 53 = 371. Sum of runs of 6 players = 121 + 40 + 26 + 56 + 37 + 48 = 328. 7th player's score = 371 - 328 = 43.

Question 6

The average age of a class of 6 girls is x years. Four new girls having ages x – 2, x + 2, x + 4 and x + 6 joins the class. What is the new average age (in years) of the class?

Accepted Answer

Total age of 6 girls = 6x. Sum of 4 new girls = (x-2) + (x+2) + (x+4) + (x+6) = 4x + 10. Total age = 10x + 10. New average = (10x + 10) / 10 = x + 1.

Question 7

If at a price, market supply is greater than market demand, we say that there is ________ in the market at that price.

Accepted Answer

When the quantity supplied by producers exceeds the quantity demanded by consumers at a specific price, it creates a surplus, which is known as excess supply.

Question 8

"Foreign jurisdiction" is listed in the __________ list given in the Seventh Schedule in the Constitution of India.

Accepted Answer

Foreign jurisdiction deals with international relations, which is a matter of national importance. Thus, it falls exclusively under the Union List (Entry 16) of the Seventh Schedule.

Question 9

A Rs 100 shirt is offered at 10% discount and a Rs 300 pair of trousers at 20% discount. If Pritam bought 1 shirt and 3 pairs of trousers, what is the effective discount (in %) he got?

Accepted Answer

Total MP = 100(1) + 300(3) = 1000. Total discount = 10% of 100 + 20% of 900 = 10 + 180 = 190. Effective discount % = (190/1000) × 100 = 19%.

Question 10

If a3 + b3 = 341 and ab = 30, then what is the value of a + b?

Accepted Answer

Find factors of 30 that satisfy a3 + b3 = 341. The numbers 5 and 6 work since 125 + 216 = 341. Therefore, a + b = 5 + 6 = 11.

Question 11

By what value profit in 2012 was more (in %) than the profit of 2011?

Accepted Answer

To find the percentage increase, use the formula: [(Profit in 2012 - Profit in 2011) / Profit in 2011] × 100. Based on the data, this results in a 50% increase.

Question 12

In what ratio does the point T(x,0) divide the segment joining the points S(-4,-1) and U(1,4)?

Accepted Answer

Let the ratio be k:1. Since the y-coordinate of T is 0, use the section formula: 0 = (4k - 1)/(k + 1). Solving gives 4k = 1, so k = 1/4. The ratio is 1:4.

Question 13

The difference between the compound interest compounding half yearly for 1 year and the simple interest for 1 year on a certain sum of money lent out at 8% per annum is Rs 64. What is the sum (in Rs)?

Accepted Answer

For CI half-yearly, the rate is 4% per 6 months. Effective CI for 1 year is 8.16%. SI is 8%. The difference is 0.16%. Thus, 0.16% of Principal = 64, giving Principal = 40000.

Question 14

What is an exothermic reaction?

Accepted Answer

An exothermic reaction releases energy, usually in the form of heat or light, into its surroundings. 'Exo' means outside and 'thermic' relates to heat.

Question 15

If x3 + 2x2 – 5x + k is divisible by x + 1, then what is the value of k?

Accepted Answer

By the Remainder Theorem, substitute x = -1 into the polynomial. We get (-1)³ + 2(-1)² - 5(-1) + k = 0. This simplifies to -1 + 2 + 5 + k = 0, so k = -6.

Question 16

If a3 + b3 = 19 and a + b = 1, then what is the value of ab?

Accepted Answer

Use the formula a³ + b³ = (a + b)((a + b)² - 3ab). Substituting the given values, 19 = 1(1² - 3ab), which gives 3ab = -18, so ab = -6.

Question 17

_________ says that the marginal product of a factor input initially rises with its employment level. But after reaching a certain level of employment, it starts falling.

Accepted Answer

The Law of Variable Proportions states that as more of a variable input is added to fixed inputs, the marginal product initially increases, then diminishes, and eventually becomes negative.

Question 18

Who discovered Antarctica?

Accepted Answer

Captain James Cook was the first explorer to cross the Antarctic Circle in 1773, paving the way for the eventual discovery of the frozen continent.

Question 19

In the following question, select the related number from the given alternatives. AKP : 1121256 : : LNO : ? AKP : 1121256 : : LNO : ?

Accepted Answer

Each letter is replaced by the square of its alphabetical position. A(1)→1, K(11)→121, P(16)→256. Similarly, L(12)→144, N(14)→196, O(15)→225, giving 144196225.

Question 20

Which dynasty came to power in India after the Tughlaq dynasty?

Accepted Answer

The chronological order of the Delhi Sultanate is Slave, Khilji, Tughlaq, Sayyid, and Lodi. Therefore, the Sayyid dynasty (1414-1451) immediately succeeded the Tughlaq dynasty after Timur's invasion.