SSC CGL Undated PYQs

Question 1

45 men or 60 boys can do a piece of work in 20 days. How many days will 15 men and 20 boys take to complete the work? ?

Accepted Answer

45 men = 60 boys, so 3 men = 4 boys. 15 men + 20 boys = 20 boys + 20 boys = 40 boys. If 60 boys take 20 days, 40 boys take (60 × 20) / 40 = 30 days.

Question 2

Three solid spheres of radius 3 cm, 4 cm and 5 cm are melted and recasted into a solid sphere. What will be the percentage decrease in the surface area?

Accepted Answer

Equating volumes, R³ = 3³ + 4³ + 5³ = 216, so R = 6 cm. Old surface area ∝ (9+16+25) = 50. New area ∝ 36. Decrease % = (14/50) × 100 = 28%.

Question 3

Who authored the book titled 'Jinnah often came to our House', which won the 2016 The Hindu Prize?

Accepted Answer

Former diplomat Kiran Doshi authored 'Jinnah Often Came to Our House'. The book won the prestigious 2016 The Hindu Prize for its brilliant historical fiction narrative.

Question 4

If 75$26 = 4, 69$53 = 7 then what is the value of 82$46 = ?

Accepted Answer

The logic is the difference between the sum of digits of the two numbers. For 82$46: (8+2) - (4+6) = 10 - 10 = 0.

Question 5

MTNL comes under which of the following category?

Accepted Answer

MTNL (Mahanagar Telephone Nigam Limited) was granted Navratna status in 1997. This status gives state-owned enterprises greater financial and operational autonomy to invest in domestic and global markets.

Question 6

The reflection formed by the plane mirror is ________________.

Accepted Answer

A plane mirror forms a virtual, erect, and same-sized image. It undergoes lateral inversion, meaning the left side of the object appears as the right side in the image.

Question 7

Which of the statements given below are correct? 1. The author of the novel 'Air' is Geoff Ryman. 2. The author of the novel 'Ulysses' is James Joyce. 3. The author of the novel 'The Great Gatsby' is F. Scott Fitzgerald.

Accepted Answer

All three statements are correct. Geoff Ryman wrote 'Air' (2004), James Joyce authored the modernist classic 'Ulysses' (1922), and F. Scott Fitzgerald wrote 'The Great Gatsby' (1925).

Question 8

Improve the bracketed part of the sentence. Taj Mahal is  ( a worth seeing monument) in Agra.

Accepted Answer

The correct idiom is 'worth seeing' placed after the noun it modifies, or as an adjective phrase. 'A monument worth seeing' is grammatically correct and natural.

Question 9

If Candidate A is disqualified then which candidate will be declared the winner?

Accepted Answer

If the top candidate A is disqualified, the candidate with the second-highest number of valid votes in the given data, which is F, will naturally be declared the winner.

Question 10

D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD:DB = 2:3 and area of ΔABC is 100 sq cm, what is the area (in sq cm) of quadrilateral BDEC?

Accepted Answer

Since DE || BC, ΔADE ~ ΔABC. The ratio of sides AD:AB = 2:5, so the area ratio is (2/5)² = 4/25. Area of ΔADE = 16. Area of BDEC = 100 - 16 = 84.

Question 11

PET is a very familiar form of _____________. It is used for making bottles.

Accepted Answer

PET stands for Polyethylene terephthalate, which is a common thermoplastic polymer resin of the polyester family. It is widely used to manufacture plastic bottles and containers.

Question 12

In Animal Kingdom classification, which of the following is not a Phylum?

Accepted Answer

Coelomates are animals that possess a true body cavity (coelom); it is a structural classification, not a phylum. Mollusca, Chordata, and Annelida are actual phyla.

Question 13

If a - b = 10 and ab =-21, then what is the value of a3 - b3?

Accepted Answer

Use the algebraic identity a^3 - b^3 = (a - b)^3 + 3ab(a - b). Substituting the given values: 10^3 + 3(-21)(10) = 1000 - 630 = 370.

Question 14

For an article the profit is 190% of the cost price. If the cost price increase by 10% but the selling price remains same, then profit is what percentage of selling price (approximately)? ?

Accepted Answer

Let CP = 100. Profit = 190, so SP = 290. New CP = 110, SP remains 290. New Profit = 180. Profit % on SP = (180/290) × 100 ≈ 62%.

Question 15

What is the area (in sq cm) of a regular hexagon of side 6 cm?

Accepted Answer

The area of a regular hexagon is given by (3√3/2) × a². Substituting a = 6 cm, we get (3√3/2) × 36 = 54√3 sq cm.

Question 16

If x – y – √18 = –1 and x + y – 3√2 = 1, then what is the value of 12xy(x2 – y2)?

Accepted Answer

Rewrite as x-y = 3√2-1 and x+y = 3√2+1. Then x²-y² = (3√2-1)(3√2+1) = 17. Also xy = [(x+y)²-(x-y)²]/4 = 3√2. Thus, 12xy(x²-y²) = 12 × 3√2 × 17 = 612√2.

Question 17

If sin8 θ + cos8 θ – 1 = 0, then what is the value of cos2 θ sin2 θ (If θ ≠ 0 or π/2)?

Accepted Answer

sin^8 θ + cos^8 θ = 1 simplifies to 1 - 4sin^2 θ cos^2 θ + 2sin^4 θ cos^4 θ = 1. This gives 2sin^2 θ cos^2 θ (sin^2 θ cos^2 θ - 2) = 0. Since the maximum value of sin^2 θ cos^2 θ is 1/4, it must be 0.

Question 18

If x – (1/x) = 3, then what is the value of (2x4 + 3x3 + 13x2 – 3x + 2) / (3x4 + 3)?

Accepted Answer

Divide numerator and denominator by x^2 to get [2(x^2+1/x^2) + 3(x-1/x) + 13] / [3(x^2+1/x^2)]. Since x-1/x=3, x^2+1/x^2=11. Substituting gives (22+9+13)/33 = 44/33 = 4/3.

Question 19

If Cos θ = 35/37, then what is the value of Cosec θ?

Accepted Answer

Cos θ = base/hypotenuse = 35/37. Using Pythagoras theorem, perpendicular = √(37² - 35²) = 12. Cosec θ = hypotenuse/perpendicular = 37/12.

Question 20

According to the categories of land mentioned in the Chola inscriptions ___________ was known as the land donated to Jaina institutions?

Accepted Answer

In Chola inscriptions, Pallichchhandam refers to land donated to Jaina institutions. Brahmadeya was for Brahmanas, Shalabhoga for schools, and Vellanvagai for non-Brahmana peasants.