SSC CGL Undated PYQs

Question 1

In the following question, select the related number from the given alternatives. 7 : 48 : : 11 : ? 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 2

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 3

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 4

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 5

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 6

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 7

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 8

___________ 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 9

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 10

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 11

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 12

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%.

Question 13

In a class, P has more marks than Q and R does not have the least marks. S has more marks than T and T has more marks than P, who among them will have the least marks?

Accepted Answer

From the given conditions, we get the sequence S > T > P > Q. Since R does not have the least marks, Q must be the one with the lowest score.

Question 14

What is the third proportional to 9 and 45?

Accepted Answer

Let the third proportional be x. The formula is x = b² / a. Here, x = (45 × 45) / 9 = 5 × 45 = 225.

Question 15

When there is only one buyer and one seller of product, it is called _____ situation.

Accepted Answer

A bilateral monopoly occurs when a market has only one supplier (monopoly) and one buyer (monopsony). The price and quantity are determined through negotiation between the two parties.

Question 16

Improve the bracketed part of the sentence. I had (a few) eggs in the fridge, so we need to go to the market to buy them.

Accepted Answer

The sentence implies a scarcity of eggs, necessitating a market visit. 'Few' correctly conveys this negative sense for countable nouns like 'eggs'. 'A few' implies some, which contradicts the need to buy more.

Question 17

If a wholesaler, sells a box of chocolates at Rs 960 he gains 20%. Now if he decides to sell it at Rs 1120, what is his profit percentage?

Accepted Answer

Cost price = 960 / 1.20 = Rs 800. New selling price = Rs 1120. Profit = 1120 - 800 = Rs 320. Profit % = (320 / 800) * 100 = 40%.

Question 18

In which city is the Forest Research Institute of India located? ?

Accepted Answer

The Forest Research Institute (FRI) of India is located in Dehradun, Uttarakhand. Established in 1906, it is a premier institution in the field of forestry research.

Question 19

Which among the following is not a connective tissue?

Accepted Answer

Skin is primarily composed of epithelial tissue, not connective tissue. Blood, bone, and cartilage are all specialized forms of connective tissue that support and bind the body.

Question 20

A dealer sells two machines at Rs 12000 each. On one it gains 32% and on the other it looses 32%. What is its profit/loss percentage in the whole transaction?

Accepted Answer

When two items are sold at the same price with the same profit and loss percentage (x%), there is always a net loss of (x^2)/100 %. Here, loss = (32^2)/100 = 1024/100 = 10.24%.