SSC CGL Undated PYQs

Question 1

If α and β are roots of the equation 3x2 – 13x + 14 = 0, then what is the value of (α/β) + (β/α)?

Accepted Answer

Sum of roots α+β = 13/3, product αβ = 14/3. We need (α²+β²)/αβ = [(α+β)² - 2αβ]/αβ. Substituting values gives [(169/9) - (28/3)] / (14/3) = (85/9) / (14/3) = 85/42.

Question 2

If 17@1=8; 9@1=4; 6@4=1; then what is the value of 8@2=?

Accepted Answer

The logic is (A - B) / 2. For 8@2, subtract 2 from 8 to get 6, then divide by 2 to get 3.

Question 3

What is the fourth proportional to 336, 288 and 161?

Accepted Answer

Let the fourth proportional be x. Then 336/288 = 161/x. Solving this gives x = (288 × 161) / 336. Simplifying the fraction yields x = 6 × 23 = 138.

Question 4

If 2 cos θ = 2 – sin θ, then what is the value of cos θ?

Accepted Answer

Square both sides: 4 cos²θ = 4 - 4 sinθ + sin²θ. Substitute cos²θ = 1 - sin²θ. Solving gives 5 sin²θ - 4 sinθ = 0, so sinθ = 0 or 4/5. Thus, cosθ = 1 or 3/5.

Question 5

A multicellular organism grows by ____________.

Accepted Answer

Multicellular organisms grow through cell division (mitosis), where a single cell divides to form new cells, thereby increasing the total number of cells in the body.

Question 6

Prince Salim was the name of the future Emperor _________.

Accepted Answer

Prince Salim was the eldest son of Emperor Akbar. Upon ascending the Mughal throne in 1605, he adopted the title Jahangir, meaning 'Conqueror of the World'.

Question 7

________, succeeded to the throne of Ferghana in 1494 when he was only 12 years old.

Accepted Answer

Babur succeeded his father Umar Sheikh Mirza to the throne of Ferghana in 1494 at the age of 12. He later founded the Mughal Empire in India.

Question 8

If the ___________ ﬁrm has zero costs or only has ﬁxed cost, the quantity supplied in equilibrium is given by the point where the average revenue is zero.

Accepted Answer

In perfect competition, Price = Average Revenue (AR) = Marginal Cost (MC). If marginal costs are zero, the equilibrium quantity is supplied where AR is also zero.

Question 9

Name the estuary on the border of India and Pakistan?

Accepted Answer

Sir Creek is a 96-km tidal estuary in the marshlands of the Indus River Delta, forming a disputed border between India (Gujarat) and Pakistan (Sindh).

Question 10

If the amount received at 10% per annum Compound interest after 3 yrs is Rs 19965, then what will have been the principal (in Rs) amount?

Accepted Answer

Amount = P(1 + R/100)^T. So, 19965 = P(1 + 10/100)^3 = P(11/10)^3. Solving this, P = 19965 × (1000/1331) = 15 × 1000 = 15000.

Question 11

With which of its neighbouring country India has Kalapani territorial dispute?

Accepted Answer

The Kalapani territory is a disputed border area between India and Nepal. It is administered by India as part of Uttarakhand, but Nepal claims it under the 1816 Treaty of Sugauli.

Question 12

"Hema Malini : Beyond the Dream Girl" is authored by which author? ?

Accepted Answer

"Hema Malini: Beyond the Dream Girl" is an authorized biography written by journalist and author Ram Kamal Mukherjee. It was published in 2017 and features a foreword by Prime Minister Narendra Modi.

Question 13

The passage of an electric current through a conducting liquid causes ___________.

Accepted Answer

Passing electric current through a conducting liquid (electrolyte) causes chemical changes, known as electrolysis. This results in the formation of new substances, making it a chemical reaction.

Question 14

By what percent collections of movie D were lower than that of movie B ?

Accepted Answer

To find the percentage by which D is lower than B, calculate ((B - D) / B) × 100. Based on the given data, this results in exactly 40%.

Question 15

Select the related number from the given alternatives. 0.5 : 2 :: 0.125 : ?

Accepted Answer

0.5 can be written as 1/2, and its reciprocal is 2. Similarly, 0.125 is 1/8, and its reciprocal is 8.

Question 16

Who invented radar?

Accepted Answer

A.H. Taylor and Leo C. Young of the U.S. Naval Research Laboratory are credited with the early development of radar technology in 1922 by detecting ships using continuous-wave radar.

Question 17

______________ scheme was launched by the Central Government to create awareness about the cleanliness of the children.

Accepted Answer

The Bal Swachhta Mission was launched in 2014 by the Central Government to promote hygiene and cleanliness among children, coinciding with the Swachh Bharat Abhiyan.

Question 18

A company, at the time of inflation reduced the staff in the ratio 5 : 3 and average salary per employee is increased in the ratio 7 : 8. By doing so, the company saved Rs 55000. What was the initial expenditure (in Rs) of company?

Accepted Answer

Initial expenditure ratio is 5×7 = 35. New expenditure is 3×8 = 24. Savings = 35 - 24 = 11 units. Since 11 units = Rs 55000, 1 unit = 5000. Initial expenditure = 35 × 5000 = Rs 175000.

Question 19

Which article of Indian constitution has the provision for National Emergency?

Accepted Answer

Article 352 of the Indian Constitution deals with National Emergency, declared due to war, external aggression, or armed rebellion. Article 356 is for State Emergency and 360 for Financial Emergency.

Question 20

A wholesaler sells a good to a retailer at a proﬁt of 5% and the retailer sells it to a customer at a proﬁt of 10%. If the customer pays Rs. 2,000, what had it cost (in Rs) the wholesaler?

Accepted Answer

Let the wholesaler's cost be x. The successive selling price is x × 1.05 × 1.10 = 2000. Solving this gives x = 2000 / 1.155, which is approximately 1731.6.