SSC CGL Undated PYQs

Question 1

If 'A + B' means 'A is father of B', 'A – B' means 'A is mother of B', 'A * B' means 'A is brother of B' and 'A % B' means 'A is sister of B', then how is Q related to S in 'P + Q * R – S'?

Accepted Answer

In 'P + Q * R - S', Q * R means Q is R's brother, and R - S means R is S's mother. Therefore, Q is the brother of S's mother, making Q the maternal uncle of S.

Question 2

In the following question, select the missing number from the given series. 28, 30, 36, 48, ?, 98, 140 28, 30, 36, 48, ?, 98, 140

Accepted Answer

The differences between consecutive terms follow the pattern 1×2=2, 2×3=6, 3×4=12, 4×5=20, 5×6=30. Adding 20 to 48 gives 68.

Question 3

What is the simpliﬁed value of 1 + tan A tan (A/2)?

Accepted Answer

Convert to half-angles: let t = tan(A/2). The expression becomes 1 + [2t/(1-t²)] × t = (1+t²)/(1-t²). This is the exact formula for 1/cos A, which equals sec A.

Question 4

Which base is present in lime water?

Accepted Answer

Lime water is the common name for a dilute aqueous solution of calcium hydroxide, Ca(OH)2. It is prepared by stirring calcium hydroxide in pure water and filtering off the excess.

Question 5

With which country India has recently decided to partner with for strategic storage of crude oil in southern India?

Accepted Answer

India partnered with the United Arab Emirates (UAE) to fill its strategic crude oil storage facility in Mangaluru, Karnataka, enhancing energy security against supply disruptions.

Question 6

If the diameter of a sphere is 14 cm, then what is the surface area (in cm2) of the sphere?

Accepted Answer

Radius is half the diameter, so r = 7 cm. The surface area of a sphere is 4πr². Calculating 4 × (22/7) × 7² gives 616 cm².

Question 7

Who has won the 'Miss Universe 2016' title? ?

Accepted Answer

Iris Mittenaere from France won the Miss Universe 2016 pageant held in the Philippines. She became the second Miss Universe from France after 1953.

Question 8

Which of the statements given below are correct? 1. The author of the novel 'Gilead' is Don Winslow. 2. The author of the novel 'Wolf Hall' is Stephen Dobyns. 3. The author of the novel 'To Kill a Mockingbird' is Harper Lee.

Accepted Answer

Note: Factually, Harper Lee wrote 'To Kill a Mockingbird' (Statement 3 is correct). However, based on the provided answer key (Option 1), statements 1 and 2 are marked correct despite being factually inaccurate.

Question 9

In the following question, select the related number from the given alternatives. 7 : 48 : : 11 : ?

Accepted Answer

The pattern follows the rule n² - 1. For the first pair, 7² - 1 = 49 - 1 = 48. Similarly, for 11, it is 11² - 1 = 121 - 1 = 120.

Question 10

Which Indian state has the largest share of the Wastelands in India?

Accepted Answer

Rajasthan has the largest share of wastelands in India, primarily due to the vast expanse of the Thar Desert, arid climate, and sandy terrain unsuitable for agriculture.

Question 11

ABC is a right angled triangle in which ∠A = 90°, AB = 5 cm and AC = 12 cm. What is the approximate volume (in cm3) of the double cone formed by rotating the triangle about its hypotenuse?

Accepted Answer

Hypotenuse = 13 cm. Radius of the double cone r = (5×12)/13 = 60/13 cm. Volume = 1/3 × π × r² × hypotenuse = 1/3 × 22/7 × (60/13)² × 13 ≈ 290 cm³.

Question 12

Who led the Bardoli Satyagraha movement?

Accepted Answer

The Bardoli Satyagraha of 1928 was a major peasant movement in Gujarat against unjust tax hikes. It was successfully led by Sardar Vallabhbhai Patel, earning him the title 'Sardar'.

Question 13

The weights of 4 boxes are 30, 20, 60 and 70 kilograms. Which of the following cannot be the total weight,in kilograms, of any combination of these boxes and in a combination a box can be used only once?

Accepted Answer

The total sum of all boxes is 180 kg. To get 170 kg, we would need to leave out a 10 kg box, but the minimum box weight is 20 kg. Thus, 170 is impossible.

Question 14

In triangle ABC, a line is drawn from the vertex A to a point D on BC. If BC = 9 cm and DC = 3 cm, then what is the ratio of the areas of triangle ABD and triangle ADC respectively?

Accepted Answer

BD = BC - DC = 9 - 3 = 6 cm. Since both triangles share the same height, the ratio of their areas equals the ratio of their bases: BD:DC = 6:3 = 2:1.

Question 15

Goods for which demand move in the opposite direction of the income of the consumer are called?

Accepted Answer

Inferior goods have a negative income elasticity of demand. As a consumer's income increases, they buy less of these goods, opting for higher-quality alternatives instead.

Question 16

___________ are deﬁned as the mass movement of rock, debris or earth down a slope.

Accepted Answer

A landslide occurs when gravity pulls rocks, debris, or soil down a slope. Earthquakes and heavy rainfall often trigger these mass movements.

Question 17

Ganesh invested an amount of Rs x in a fixed deposit scheme offering 5% per annum for 1st year and 15% per annum for 2nd year and received an amount of Rs 9660 after two years. What is the value of x (in Rs)?

Accepted Answer

The final amount is calculated using successive percentages: x × (105/100) × (115/100) = 9660. Simplifying gives x × (21/20) × (23/20) = 9660, so x = 8000.

Question 18

What is the value of Cot 45o + 1/3 Cosec 60o?

Accepted Answer

Cot 45° = 1 and Cosec 60° = 2/√3. Substituting these values: 1 + (1/3) × (2/√3) = 1 + 2/(3√3). Rationalizing gives (9 + 2√3)/9.

Question 19

By what amount (in billion USD) is the Gross Domestic Product (GDP) of Country A lesser than that of Country F?

Accepted Answer

Identify the GDP values for Country F and Country A from the provided data. Subtract Country A's GDP from Country F's GDP to find the exact difference of 40 billion USD.

Question 20

If Rs 2500 becomes to Rs 2970.25 in 2 years at compound interest compounded annually, then what is the yearly rate of interest (in %)? ?

Accepted Answer

Using A = P(1 + R/100)^n, we get 2970.25/2500 = (1 + R/100)^2. This simplifies to 11881/10000 = (109/100)^2. Thus, 1 + R/100 = 1.09, giving R = 9%.