SSC CGL Undated PYQs

Question 1

In the formula average velocity = (u + v) /2, u is the ___________.

Accepted Answer

In kinematics, the average velocity for constant acceleration is (u + v)/2, where 'u' stands for initial velocity and 'v' stands for final velocity.

Question 2

If the shopkeeper sells an item at Rs 4400 which is marked as Rs 5000, then what is the discount that he is offering?

Accepted Answer

Discount = Marked Price - Selling Price = 5000 - 4400 = 600. Discount % = (Discount / Marked Price) × 100 = (600 / 5000) × 100 = 12%.

Question 3

The rubbing surface of a matchbox has powdered glass and a little red ________________.

Accepted Answer

The rubbing surface of a matchbox contains powdered glass for friction and red phosphorus, which ignites easily when struck by the matchstick.

Question 4

Which of the following is India's highest civilian award?

Accepted Answer

The Bharat Ratna is the highest civilian award of the Republic of India, instituted in 1954 to recognize exceptional service or performance of the highest order.

Question 5

In which of the following game, ball is not used?

Accepted Answer

Badminton is played using a shuttlecock and a racket, whereas football, cricket, and tennis all require a spherical ball to play the game.

Question 6

The main mineral constituents of the continental mass are ________ and alumina.

Accepted Answer

The continental crust is primarily composed of silica and alumina, which is why its uppermost layer is often referred to as 'sial' (Si for silica and Al for alumina).

Question 7

Which phenomena shows the particle nature of light?

Accepted Answer

The photoelectric effect demonstrates light's particle nature, as light energy is absorbed in discrete packets called photons to emit electrons from a metal surface.

Question 8

A solid sphere of diameter 17.5 cm is cut into two equal halves. What will be the increase (in cm2) in the total surface area?

Accepted Answer

Cutting a sphere into two hemispheres creates two new circular bases. The increase in total surface area is 2πr². With r = 8.75 cm, the increase is 2 × (22/7) × (8.75)² = 481.25 cm².

Question 9

If Cos θ = 5/13, then Cosec θ = ?

Accepted Answer

Cos θ = Base/Hypotenuse = 5/13. Using the Pythagorean triplet (5, 12, 13), the perpendicular is 12. Since Cosec θ = Hypotenuse/Perpendicular, the value is 13/12.

Question 10

From the given alternative words, select the word which cannot be formed using the letters of the given word: ELABORATE ELABORATE

Accepted Answer

The word 'ELABORATE' does not contain the letter 'U'. Therefore, the word 'BRUTAL' cannot be formed using its letters.

Question 11

With which country India celebrated its 25th year of diplomatic ties in 2017?

Accepted Answer

India and Israel established full diplomatic relations in 1992. Therefore, in 2017, both nations celebrated the 25th anniversary of their diplomatic ties, marked by PM Modi's historic visit.

Question 12

The 5th and 9th term of an arithmetic progression are 7 and 13 respectively. What is the 15th term?

Accepted Answer

Let first term be a and common difference d. a+4d=7 and a+8d=13. Solving gives d=1.5 and a=1. The 15th term is a+14d = 1+14(1.5) = 22.

Question 13

An item is sold at two successive gains of 30% and 20%. If the ﬁnal selling price is Rs 31200, then what is the cost price (in Rs)?

Accepted Answer

Let CP be x. Successive gains of 30% and 20% mean x × 1.30 × 1.20 = 31200. This gives 1.56x = 31200, so x = 31200 / 1.56 = 20000.

Question 14

What is the area (in sq cm) of an equilateral triangle of side 10 cm?

Accepted Answer

The area of an equilateral triangle is given by the formula (√3/4) × a². Here, a = 10. So, Area = (√3/4) × 100 = 25√3 sq cm.

Question 15

If 27x + 27[x–(1/3)] = 972, then what is the value of x? ?

Accepted Answer

Substitute x = 2 into the equation: 27^2 + 27^(2 - 1/3) = 729 + 27^(5/3) = 729 + 243 = 972. This satisfies the given equation perfectly.

Question 16

If 23@5=56; 6@7=26; 5@2=14; then what is the value of 7@5=?

Accepted Answer

The pattern is (A + B) × 2. For 7@5, add 7 and 5 to get 12, then multiply by 2 to get 24.

Question 17

The simple and compound interest that can be earned in two years at the same rate is Rs 1,000 and Rs 1,040 respectively. What is the rate (percent per annum) of interest?

Accepted Answer

SI for 1 year is Rs 500. The difference between CI and SI for 2 years is Rs 40, which is the interest on the first year's SI. Rate = (40/500) × 100 = 8%.

Question 18

The later (second) formed primary xylem elements are called _____________.

Accepted Answer

Primary xylem consists of protoxylem and metaxylem. The first formed elements are called protoxylem, while the later formed primary xylem elements are known as metaxylem.

Question 19

A shopkeeper sells a table at a discount of 20% and earns a profit of 60%. If he sells the same table at 40% discount, then what will be his new profit percent?

Accepted Answer

Let CP = 100. With 60% profit, SP = 160. Since discount is 20%, MP = 160 / 0.8 = 200. At 40% discount, new SP = 120. Profit = 20%.

Question 20

Convex mirror is generally used in _____.

Accepted Answer

Convex mirrors diverge light and provide a wider field of view, making them ideal for rear-view mirrors in vehicles to safely monitor traffic behind.