SSC CGL Undated PYQs

Question 1

A square is inscribed in a quarter circle in such a way that two of its adjacent vertices on the radius are equidistant from the centre and other two vertices lie on the circumference. If the side of square is √(5/2) cm, then what is the radius (in cm) of the circle?

Accepted Answer

Let vertices on radii be at distance x from center. Side a = √(5/2). 2x² = a² ⇒ x² = 5/4. Vertices on arc are at (2x, x). Radius R = √(5x²) = √(25/4) = 2.5 cm.

Question 2

In each of the following question below are given some statements followed by some conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusion logically follows the given statements. Statements: I. All books are erasers. II. All sharpeners are books. Conclusions: I. All sharpeners are erasers. II. Some books are sharpeners.

Accepted Answer

Since all sharpeners are books and all books are erasers, the sharpeners circle is entirely inside the erasers circle (I follows). Also, the books circle contains sharpeners, so some books are sharpeners (II follows).

Question 3

If CROWNED is coded as APMULCB, then how will TAP be coded as?

Accepted Answer

Each letter in the word is shifted backward by 2 positions in the alphabetical order. Applying -2 to T, A, and P gives R, Y, and N respectively.

Question 4

A] The author of the novel 'Bird Box' is Victor LaValle. B] The author of the novel 'The Devil in Silver' is Josh Malerman. C] The author of the novel 'Fellside' is Victor LaValle. Which of the statements given above are not correct?

Accepted Answer

'Bird Box' is written by Josh Malerman, 'The Devil in Silver' by Victor LaValle, and 'Fellside' by M.R. Carey. Thus, all three statements A, B, and C are incorrect.

Question 5

Which of the following is a book written by Shashi Tharoor?

Accepted Answer

"An Era of Darkness: The British Empire in India" was published in 2016 by Shashi Tharoor. It critically examines the impact of British colonial rule on India, winning him the Sahitya Akademi Award.

Question 6

In which year was Nationalist Congress Party (NCP) founded?

Accepted Answer

The Nationalist Congress Party (NCP) was formed on May 25, 1999, by Sharad Pawar, P. A. Sangma, and Tariq Anwar after they were expelled from the Indian National Congress.

Question 7

The members of phaeophyceae are commonly called _________ algae.

Accepted Answer

Phaeophyceae are commonly known as brown algae due to the dominance of the brown pigment fucoxanthin, which masks the green chlorophyll.

Question 8

If x2 + x = 19, then what is the value of (x + 5)2 + [1/(x + 5)2]?

Accepted Answer

Let y = x + 5, so x = y - 5. Substituting gives y^2 - 9y + 1 = 0, or y + 1/y = 9. Thus, y^2 + 1/y^2 = 9^2 - 2 = 79.

Question 9

___________ is a welfare scheme started by the Prime Minister in order to provide LPG connections to domestic households that fall under the below the poverty line category.

Accepted Answer

Pradhan Mantri Ujjwala Yojana (PMUY) was launched in 2016 by PM Narendra Modi to provide clean cooking fuel (LPG) to women from BPL households, reducing health hazards.

Question 10

FORTRAN is not used for _____. (I)  Drawing pictures (II) Carrying out mathematics computations

Accepted Answer

FORTRAN (Formula Translation) is a high-level language designed specifically for complex scientific and mathematical computations. It is not used for drawing pictures or graphics.

Question 11

Improve the bracketed part of the sentence. We do not (agree on) certain things.

Accepted Answer

The phrase 'agree on' is correctly used when discussing a specific point or topic. The original sentence is grammatically sound and requires no improvement.

Question 12

Friction is caused by the ______________ on the two surfaces in contact.

Accepted Answer

Friction occurs because microscopic irregularities (roughness) on the two contacting surfaces interlock with each other, resisting relative motion.

Question 13

Sum of twice a fraction and 5 times its reciprocal is 7. What is the fraction?

Accepted Answer

Let the fraction be x. The equation is 2x + 5/x = 7, which gives 2x² - 7x + 5 = 0. Solving yields x = 1 or x = 5/2. Option 3 matches.

Question 14

If 4(x+y) = 256 and (256)(x-y) = 4, then what is the value of x and y?

Accepted Answer

Since 4^(x+y) = 4^4, we get x+y = 4. Also, 256^(x-y) = 4 means 4^(4(x-y)) = 4^1, so x-y = 1/4. Adding both gives 2x = 17/4, so x = 17/8 and y = 15/8.

Question 15

David Warner plays cricket for which country?

Accepted Answer

David Warner is a prominent Australian international cricketer and a former captain of the Australian national team. He is widely known as an aggressive left-handed opening batsman.

Question 16

An IP address is _____ bit number.

Accepted Answer

A standard IPv4 address is a 32-bit number that uniquely identifies a device on a network, typically represented in dot-decimal notation.

Question 17

Improve the bracketed part of the sentence. The government plans to (take up) the construction project soon.

Accepted Answer

The phrasal verb 'take up' means to start a new activity or hobby, or to occupy time/space. In this context, it correctly implies starting the construction project.

Question 18

In a class of 39 students there are 26 girls. The average weight of these girls is 42 Kgs and average weight of the full class is 48 kgs. What is the average weight (in kgs) of the boys of the class?

Accepted Answer

Total weight = 39 × 48 = 1872 kg. Girls' weight = 26 × 42 = 1092 kg. Boys' weight = 1872 - 1092 = 780 kg. Boys' average = 780 / 13 = 60 kg.

Question 19

In the following question, select the related word from the given alternatives. Player : Team : : Minister : ?

Accepted Answer

A group of players collectively forms a team. Similarly, a group of ministers collectively forms a council (Council of Ministers).

Question 20

Who discovered Circulatory System?

Accepted Answer

William Harvey, an English physician, discovered the circulatory system in 1628. He accurately described how blood is pumped around the body by the heart through veins and arteries.