SSC CGL Undated PYQs

Question 1

What is the simpliﬁed value of sec6 A – tan6 A – 3 sec2 A tan2 A?

Accepted Answer

Use the identity sec²A - tan²A = 1. Cubing both sides gives sec⁶A - tan⁶A - 3sec²A tan²A(sec²A - tan²A) = 1. Substituting the identity yields 1.

Question 2

How many shoes are there of Reebok brand?

Accepted Answer

Based on the provided chart or table data, calculate the specific value for Reebok. For example, if Reebok represents 23% of a total 1200 shoes, 0.23 × 1200 = 276.

Question 3

What is the ratio of average number of students studying Arts per year and average number of students studying Science per year?

Accepted Answer

Calculate the total number of Arts and Science students across all years. Since the number of years is the same, the ratio of their averages equals the ratio of their totals, giving 169 : 331.

Question 4

Which of the following won the Best Film in 62nd Filmfare Awards 2017?

Accepted Answer

Dangal won the Best Film award at the 62nd Filmfare Awards in 2017. Directed by Nitesh Tiwari, it was a massive critical and commercial success based on the Phogat sisters.

Question 5

What is the sum of the first 12 terms of an arithmetic progression if the first term is 3 and last term is 47?

Accepted Answer

Use the sum formula for an AP: S = n/2 × (a + l). Here, n = 12, a = 3, and l = 47. S = 12/2 × (3 + 47) = 6 × 50 = 300.

Question 6

Accepted Answer

In matrix coding questions, verify each number pair against the row and column of the given matrices to find the correct word spelling. Option 3 correctly matches all letters.

Question 7

Who was the architect of Humayun's Tomb?

Accepted Answer

Mirak Mirza Ghiyath, a Persian architect, designed Humayun's Tomb in Delhi. It was commissioned by Humayun's first wife, Bega Begum, in 1558 and is a prime example of Mughal architecture.

Question 8

India has taken the concept of 'Judicial Review' from which country's constitution? ?

Accepted Answer

The concept of Judicial Review, along with Fundamental Rights and the independence of the judiciary, was borrowed from the United States Constitution to ensure laws align with constitutional provisions.

Question 9

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 10

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 11

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 12

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 13

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 14

In April 2017, who has been made United Nation's Messenger of Peace?

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 15

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 16

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 17

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 18

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 = ?

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 19

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 20

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.