SSC CGL Undated PYQs

Question 1

Select the related word from the given alternatives. Product : Multiplication :: Sum : ?

Accepted Answer

Just as a 'Product' is the final result obtained by the mathematical operation of 'Multiplication', a 'Sum' is the result obtained by the operation of 'Addition'.

Question 2

The scientific name of human being is?

Accepted Answer

The scientific name for humans is Homo sapiens, coined by Carl Linnaeus. 'Homo' is the genus meaning man, and 'sapiens' is the species meaning wise.

Question 3

A piece of work was finished by A, B and C together. A and B together finished 60% of the work and B and C together finished 70% of the work. Who among the three is most efficient?

Accepted Answer

Total work is 100%. Since A+B = 60%, C does 40%. Since B+C = 70%, A does 30%. Thus, B does 30%. C has the highest share (40%), making C the most efficient.

Question 4

Crystallisation is an example of?

Accepted Answer

Crystallisation is a physical change because it only alters the state and appearance of the substance (forming solid crystals from a solution) without changing its fundamental chemical composition.

Question 5

_________ affect the rate of humus formation of soil.

Accepted Answer

Flora, fauna, and microorganisms directly affect the rate of humus formation. They decompose dead organic matter, adding nutrient-rich humus to the topsoil, which determines soil fertility.

Question 6

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 7

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 8

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 9

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 10

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 11

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 12

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 13

"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 14

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 15

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 16

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 17

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 18

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 19

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 20

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.