SSC CGL Undated PYQs

Question 1

The average runs conceded by a bowler in 5 matches is 45 and 15.75 in other 4 matches. What is the average runs conceded by the bowler in 9 matches?

Accepted Answer

Total runs in 5 matches = 5 × 45 = 225. Total runs in 4 matches = 4 × 15.75 = 63. Total runs in 9 matches = 225 + 63 = 288. Average = 288 / 9 = 32.

Question 2

Which among the following determines the pitch of a sound?

Accepted Answer

The pitch of a sound is determined by its frequency. A higher frequency produces a higher pitch (shrill sound), while a lower frequency results in a lower pitch (deep sound).

Question 3

If Tan θ = 7/24, then what is the value of Sec θ?

Accepted Answer

Tan θ = 7/24 means Perpendicular = 7, Base = 24. Hypotenuse = √(7² + 24²) = 25. Sec θ = Hypotenuse / Base = 25/24.

Question 4

In a triangle ABC, AD is angle bisector of ∠A and AB : AC = 3 : 4. If the area of triangle ABC is 350 cm2, then what is the area (in cm2) of triangle ABD? ?

Accepted Answer

By the angle bisector theorem, BD:DC = AB:AC = 3:4. The area ratio of ABD to ADC is 3:4. Area of ABD = (3/7) × 350 = 150 cm2.

Question 5

From a point, Lokesh starts walking towards south and after walking 30 metres he turns to his right and walks 20 metres, then he turns right again and walks 30 metres. He finally turns to his left and walk 40 metres. In which direction is he with reference to the starting point? ?

Accepted Answer

Lokesh goes 30m South, turns right (West) for 20m, turns right (North) for 30m, aligning horizontally with the start. Finally, turning left (West) for 40m places him directly West of the starting point.

Question 6

In April 2017, who has been made United Nation's Messenger of Peace? 9/7/2017 Staff Selection Commision

Accepted Answer

In April 2017, UN Secretary-General António Guterres designated Nobel laureate Malala Yousafzai as a UN Messenger of Peace to promote girls' education globally.

Question 7

6 times a fraction is greater than 7 times its reciprocal by 11. What is the fraction?

Accepted Answer

Let the fraction be x. The equation is 6x - 7/x = 11. Solving 6x² - 11x - 7 = 0 gives x = 7/3. Alternatively, check options: 6(7/3) - 7(3/7) = 14 - 3 = 11.

Question 8

The average weight of A, B and C is 49 kg. If the average weight of A and B is 35 kg and that of B and C is 62 kg, then the weight of B (in kgs) is?

Accepted Answer

Total weight of A, B, C is 49×3 = 147 kg. A+B = 70 kg and B+C = 124 kg. Adding them gives A+2B+C = 194 kg. So, B = 194 - 147 = 47 kg.

Question 9

Which is the second biggest expense of the company?

Accepted Answer

By analyzing the given chart or table, we compare all expense values. The highest expense is usually raw materials or salaries, while electricity clearly holds the second highest numerical value.

Question 10

If "K" denotes "multiplied by", "M" denotes "subtracted from", "J" denotes "added to" and "L" denotes "divided by", then 44 M 24 K 56 L 14 J 60 = ? 44 M 24 K 56 L 14 J 60 = ?

Accepted Answer

Substitute the symbols: 44 - 24 * 56 / 14 + 60. Using BODMAS, first divide (56/14 = 4), then multiply (24*4 = 96). Finally, 44 - 96 + 60 = 104 - 96 = 8.

Question 11

If 18 (9) 3 and 36 (30) 5, then what is the value of A in 19 (A) 18?

Accepted Answer

Multiply the first and third numbers, then divide by 6 to get the middle number. For 19 (A) 18, (19 × 18) ÷ 6 = 57.

Question 12

In the following question, select the odd number pair from the given alternatives.

Accepted Answer

In all pairs except the third, the second number is the square of the first number (11²=121, 13²=169, 21²=441). However, 19²=361, not 391.

Question 13

The average age of 24 students is 12 years. It was observed that while calculating the average age, the age of a student was taken as 14 years instead of 8 years. What will be the correct average age (in years)?

Accepted Answer

The age was taken as 14 instead of 8, an excess of 6. This excess increased the average by 6/24 = 0.25. So, the correct average is 12 - 0.25 = 11.75.

Question 14

Nirmit can do 2/3 of a job in 18 days. Kashish is twice as efﬁcient as Nirmit. In how many days Kashish will complete the job?

Accepted Answer

Nirmit completes the whole job in 18 × (3/2) = 27 days. Since Kashish is twice as efficient, she takes half the time. Thus, Kashish takes 27/2 days.

Question 15

If x = (√2 + 1)/(√2 – 1), then what is the value of (x5 + x4 + x2 + x)/x3 ? ?

Accepted Answer

Rationalize x to get 3 + 2√2. The expression simplifies to (x² + 1/x²) + (x + 1/x). Since x + 1/x = 6, x² + 1/x² = 36 - 2 = 34. The total sum is 34 + 6 = 40.

Question 16

The average marks of 40 students in an examination was 25. It was later found that the marks of one student had been wrongly entered as 73 instead of 37. What is the value of correct average?

Accepted Answer

The correct marks are 36 less than the entered marks (37 - 73 = -36). This decrease is shared among 40 students. Change in average = -36/40 = -0.9. Correct average = 25 - 0.9 = 24.1.

Question 17

"Public health and sanitation; hospitals and dispensaries" is listed in the __________ list given in the Seventh Schedule in the Constitution of India.

Accepted Answer

Under the Seventh Schedule of the Indian Constitution, "Public health and sanitation; hospitals and dispensaries" falls under the State List (List II), giving state governments exclusive power to legislate on it.

Question 18

A trader buys 800 kgs of tomatoes for Rs 7200. 10% tomatoes are damaged in transportaion. At what rate (Rs/Kg) should he sell the rest to earn 30% profit?

Accepted Answer

Total cost = Rs 7200. Target SP for 30% profit = 7200 × 1.3 = Rs 9360. Remaining tomatoes = 800 - 10% = 720 kg. Required rate = 9360 / 720 = Rs 13/kg.

Question 19

Sexual reproduction in Algae that takes place through fusion of two dissimilar size gametes is called?

Accepted Answer

Fusion of two gametes of dissimilar sizes is called anisogamous reproduction. Isogamous involves similar sizes, while oogamous involves a large non-motile female and a small motile male gamete.

Question 20

A watch having marked price as Rs 8400 is sold for Rs 5040 after two successive discounts. If the first discount is 25% then what is the second discount percentage?

Accepted Answer

Price after 25% discount = 8400 × 0.75 = Rs 6300. Second discount amount = 6300 - 5040 = Rs 1260. Second discount % = (1260 / 6300) × 100 = 20%, which is 0.2.