SSC CGL Undated PYQs

Question 1

One of the diagonal of a rhombus is 70% of the other diagonal. What is the ratio of area of rhombus to the square of the length of the larger diagonal?

Accepted Answer

Let the larger diagonal be 10x, so the smaller is 7x. Area = (1/2) × 10x × 7x = 35x². Square of larger diagonal = 100x². Ratio = 35x² : 100x² = 7 : 20.

Question 2

Two labourers A and B are paid a total of Rs. 750 per day. If A is paid 150 percent of what is paid to B, how much (in Rs) is B paid?

Accepted Answer

A gets 1.5 times B. So, A + B = 2.5B = 750. Solving for B gives 750 / 2.5 = 300. Thus, B is paid Rs. 300.

Question 3

In the following question, select the related word from the given alternatives. Calendar : Date : : Index : ?

Accepted Answer

A calendar is used to look up a specific date. Similarly, an index in a book is used to look up specific contents or topics.

Question 4

Ratio of present ages of P and Q is 9 : 4. The difference between their ages is 20 years. What will be the sum (in years) of their ages after 10 years?

Accepted Answer

Let ages be 9x and 4x. Difference is 5x = 20, so x = 4. Present sum = 13x = 52. After 10 years, sum = 52 + 10 + 10 = 72.

Question 5

What is the LCM of 64 and 56?

Accepted Answer

Prime factorization of 64 is 2^6 and 56 is 2^3 × 7. The LCM takes the highest powers of all prime factors: 2^6 × 7 = 64 × 7 = 448.

Question 6

In which market form, a market or industry is dominated by a few ﬁrms?

Accepted Answer

An oligopoly is a market structure where a small number of large firms dominate the industry, often leading to limited competition and interdependent decision-making among them.

Question 7

If length of each side of a rhombus PQRS is 8 cm and ∠PQR = 120°, then what is the length (in cm) of QS?

Accepted Answer

In rhombus PQRS, adjacent angles are supplementary, so ∠SPQ = 60°. Since sides PQ = PS = 8 cm, triangle PQS is equilateral. Thus, diagonal QS is also 8 cm.

Question 8

A batsman makes a score of 95 runs in the 13th match and thus increases his average runs per match by 4. What is his average after the 13th match?

Accepted Answer

Let the old average be x. Total runs = 12x. New total = 12x + 95 = 13(x + 4). Solving gives x = 43. New average = 43 + 4 = 47.

Question 9

In the following question, select the missing number from the given series. 19, 38, ?, 228, 684, 1368 19, 38, ?, 228, 684, 1368

Accepted Answer

The pattern alternates between multiplying by 2 and 3. 19×2=38, 38×3=114, 114×2=228, 228×3=684. Thus, the missing number is 114.

Question 10

If HEROISM is coded as SVILRHN, then how will ALP be coded as?

Accepted Answer

Each letter is replaced by its opposite letter in the English alphabet (A↔Z, B↔Y, etc.). Thus, A becomes Z, L becomes O, and P becomes K, giving ZOK.

Question 11

Which of the following is a characteristic of an exothermic reaction?

Accepted Answer

An exothermic reaction is a chemical reaction that releases energy, usually in the form of heat or light, into its surroundings, causing the temperature to rise.

Question 12

Two women A and B are shopping in a mall. They start from the same point. A walks 150 m West, then turns to her left and walks 160 m. B walks 140 m East, then turns South and walks 160 m, then turns to her left and walks 120 m. Where is B with respect to A now?

Accepted Answer

A reaches 150m West and 160m South. B reaches (140+120)=260m East and 160m South. Both are on the same horizontal line. Distance = 150 + 260 = 410m. B is East of A.

Question 13

Sum of four times a fraction and 7 times its reciprocal is 16. What is the fraction?

Accepted Answer

Let the fraction be x. The equation is 4x + 7/x = 16. Checking option 2: 4(7/2) + 7(2/7) = 14 + 2 = 16. Thus, 7/2 is correct.

Question 14

What is plant cell wall mainly composed of?

Accepted Answer

Plant cell walls are primarily made of cellulose, a complex carbohydrate that provides structural support and rigidity to the plant cells.

Question 15

10 women can do a piece of work in 6 days, 6 men can do same work in 5 days and 8 children can do it in 10 days. What is the ratio of the efﬁciency of a woman, a man and a child respectively?

Accepted Answer

Total work = 10W × 6 = 6M × 5 = 8C × 10. This gives 60W = 30M = 80C, or 6W = 3M = 8C. The efficiency ratio W:M:C is 1/6 : 1/3 : 1/8 = 4 : 8 : 3.

Question 16

If Sin θ = 12/13, then what is the value of Cot θ?

Accepted Answer

Sin θ = Perpendicular/Hypotenuse = 12/13. By Pythagoras theorem, Base = √(13² - 12²) = 5. Cot θ = Base/Perpendicular = 5/12.

Question 17

With which country India has recently signed a MoU for Water Conservation in India?

Accepted Answer

India signed an MoU with Israel to enhance cooperation in water conservation and state water utility management, leveraging Israel's advanced water technologies and expertise.

Question 18

Bryophytes are also called ____________ of the plant kingdom.

Accepted Answer

Bryophytes are called amphibians of the plant kingdom because they live in soil but strictly require water for sexual reproduction, similar to animal amphibians.

Question 19

To travel 720 km, a Express train takes 6 hours more than Duronto. If however, the speed of the Express train is doubled, it takes 2 hours less than Duronto. The speed of Duronto (in km/hr) is?

Accepted Answer

Let Express time be T. T - Duronto time = 6. Doubling speed halves time: Duronto time - T/2 = 2. Solving gives T = 16 hrs. Duronto time = 10 hrs. Speed = 720/10 = 72 km/hr.

Question 20

Who created the first mechanical computer, which proved to be the prototype for future computers?

Accepted Answer

Charles Babbage designed the Analytical Engine in the 1830s, the first general-purpose mechanical computer. This pioneering work earned him the title 'Father of the Computer.'