SSC CGL Undated PYQs

Question 1

If x + y = 5, x3 + y3 = 35, then what is the positive difference between x and y?

Accepted Answer

Use the formula x³ + y³ = (x+y)((x+y)² - 3xy). Substituting values gives 35 = 5(25 - 3xy), so xy = 6. Then (x-y)² = (x+y)² - 4xy = 25 - 24 = 1, meaning |x-y| = 1.

Question 2

With which Australian University Indian Railways has signed an agreement for Dedicated Freight Corridor?

Accepted Answer

Indian Railways signed an MoU with Monash University, Australia, to establish a joint research center for advancing railway technology and supporting the Dedicated Freight Corridor project.

Question 3

Select the related number from the given alternatives. 236 : 472 :: 123 : ?

Accepted Answer

The pattern involves multiplying the first number by 2. Here, 236 × 2 = 472. Following the same logic, multiplying 123 by 2 gives 123 × 2 = 246.

Question 4

Which disease is caused by Nickel?

Accepted Answer

Nickel exposure primarily causes allergic contact dermatitis, a skin condition characterized by an itchy rash. Itai-Itai is caused by cadmium, making dermatitis the correct answer.

Question 5

Select the related word from the given alternatives. Yellow : Lemon :: Purple : ?

Accepted Answer

Just as a lemon is naturally yellow in color, a brinjal (eggplant) is naturally purple. The analogy is based on the characteristic color of the given item.

Question 6

In ΔPQR, PS and PT are bisectors of ∠QPR and ∠QPS respectively. If ∠QPT = 30°, PT = 9 cm and TR = 15 cm, then what is the area (in cm2) of ΔPTR ?

Accepted Answer

PT bisects ∠QPS, so ∠TPS = 30°. PS bisects ∠QPR, so ∠SPR = 60°. Thus, ∠TPR = 90°. In right ΔPTR, PR = √(15² - 9²) = 12. Area = 1/2 × 9 × 12 = 54.

Question 7

In the following question, correct the equation by interchanging two signs. 9 x 3 + 8 ÷ 4 – 7 = 28 9 x 3 + 8 ÷ 4 – 7 = 28

Accepted Answer

Swap x and ÷. The equation becomes 9 ÷ 3 + 8 x 4 - 7. Using BODMAS: 3 + 32 - 7 = 35 - 7 = 28, which matches the RHS.

Question 8

A sum of Rs 400 becomes Rs 448 at simple interest in 2 years. In how many years will the sum of Rs 550 amounts to Rs 682 at the same rate?

Accepted Answer

First, find the rate: SI = 448 - 400 = 48. Rate = (48×100)/(400×2) = 6%. For the second case, SI = 682 - 550 = 132. Time = (132×100)/(550×6) = 4 years.

Question 9

A vendor buys bananas at 12 for Rs 50 and sells at 5 for Rs 40. What will be the gain (in %)?

Accepted Answer

Equate quantities to 60. CP of 60 bananas = Rs 250. SP of 60 bananas = Rs 480. Profit = 480 - 250 = 230. Profit % = (230 / 250) × 100 = 92%.

Question 10

Which of the following is India's highest award in cinema given annually by the Government of India for lifetime contribution to Indian cinema?

Accepted Answer

The Dadasaheb Phalke Award is India's highest award in the field of cinema. It is presented annually at the National Film Awards ceremony by the Directorate of Film Festivals.

Question 11

What was Norway's rank in 2016 Human Development Index published by the United Nations Development Programme?

Accepted Answer

In the 2016 Human Development Index (HDI) report published by the UNDP, Norway secured the 1st rank globally, reflecting its exceptionally high standard of living, education, and life expectancy.

Question 12

At what temperature (in degree celsius), the numerical values on Celsius and Fahrenheit scales become equal? ?

Accepted Answer

Using the formula C/5 = (F-32)/9, set C = F = x. This gives x/5 = (x-32)/9, leading to 9x = 5x - 160, which solves to x = -40.

Question 13

What is the unit of resistance?

Accepted Answer

The SI unit of electrical resistance is the ohm, named after Georg Simon Ohm. It measures the opposition to current flow in an electrical circuit.

Question 14

What is the name of  the acid in grapes?

Accepted Answer

Grapes naturally contain tartaric acid, which gives them their characteristic tartness. For context, lactic acid is in milk, formic in ant stings, and acetic in vinegar.

Question 15

In which sport did India win Bronze medal at Rio Olympics 2016?

Accepted Answer

At the 2016 Rio Olympics, Sakshi Malik won the bronze medal in the 58 kg category of women's freestyle wrestling, becoming the first Indian female wrestler to win an Olympic medal.

Question 16

After deducting 60% from a certain number and then deducting 15% from the remainder, 1428 is left. What was the initial number?

Accepted Answer

Let the number be x. After 60% deduction, 40% remains. Deducting 15% leaves 85% of that. So, x × 0.40 × 0.85 = 1428 ⇒ 0.34x = 1428 ⇒ x = 4200.

Question 17

Animals belonging to phylum _____________ are fundamentally characterised by the presence of a notochord, a dorsal hollow nerve cord and paired pharyngeal gill slits.

Accepted Answer

Phylum Chordata is defined by three fundamental features: a notochord, a dorsal hollow nerve cord, and paired pharyngeal gill slits present at some stage of their life cycle.

Question 18

B. Sai Praneeth is associated with which of the following sport? ?

Accepted Answer

B. Sai Praneeth is a prominent Indian badminton player. He famously won a bronze medal at the BWF World Championships in 2019, ending a 36-year drought for Indian male shuttlers.

Question 19

Optical ﬁbre works on which of the following principle of light?

Accepted Answer

Optical fibres work on the principle of total internal reflection. Light rays continuously reflect off the inner walls without escaping, allowing data transmission over long distances with minimal loss.

Question 20

In a certain code language, "TIRED" is written as "56" and "BRAIN" is written as "44". How is "LAZY" written in that code language?

Accepted Answer

The code is the sum of the alphabetical positions of the letters. For LAZY: L(12) + A(1) + Z(26) + Y(25) = 64.