SSC CGL Undated PYQs

Question 1

What is the simplified value of sin2 (90 – θ) – [{sin(90 – θ)sin θ}/tan θ]?

Accepted Answer

Using complementary angles, sin(90-θ) = cos θ. The expression becomes cos²θ - [(cos θ × sin θ) / (sin θ / cos θ)]. Simplifying the second term gives cos²θ, so cos²θ - cos²θ = 0.

Question 2

During their rule the British persuaded or forced cultivators in Assam to grow __________.

Accepted Answer

The British forced Indian farmers to grow cash crops. In Assam, they specifically established large plantations and forced cultivators to grow tea due to its high demand in Europe.

Question 3

Product of three consecutive odd numbers is 1287. What is the largest of the three numbers? ?

Accepted Answer

Check the options. If the largest is 13, the consecutive odd numbers are 9, 11, and 13. Their product is 9 × 11 × 13 = 1287. Hence, 13 is correct.

Question 4

The inradius of a equilateral triangle is 10 cm. What is the circum-radius (in cm) of the same triangle? ?

Accepted Answer

For an equilateral triangle, the circumradius (R) is always exactly twice the inradius (r). Since r = 10 cm, R = 2 × 10 = 20 cm.

Question 5

What least number must be subtracted from 210, so that the sum is completely divisible by 11?

Accepted Answer

Divide 210 by 11. The quotient is 19 and the remainder is 1. Subtracting this remainder (1) from 210 makes the result perfectly divisible by 11.

Question 6

If A and B together do a job in 7.5 days and if A could do the job in 10 days if he worked alone. How many days would B take to do the job if he worked alone?

Accepted Answer

Total work = LCM(7.5, 10) = 30 units. Efficiency of (A+B) = 30/7.5 = 4. Efficiency of A = 30/10 = 3. B's efficiency = 4 - 3 = 1. Time for B = 30/1 = 30 days.

Question 7

ΔPQR has sides PQ and PR measuring 983 and 893 units respectively. How many such triangles are possible with all integral sides?

Accepted Answer

The third side must be strictly between the difference and sum of the two sides. Number of possible integer sides = 2 × (smaller side) - 1 = 2 × 893 - 1 = 1785.

Question 8

A man cycles 7 km East, then turns South and cycles 12 km, then turns West and cycles 7 km, then turns to his left and cycles 10 km. Where is he now with reference to his starting position?

Accepted Answer

He moves 7 km East, 12 km South, and 7 km West, aligning vertically with the start. A left turn from West goes South for 10 km. Total distance is 12+10 = 22 km South.

Question 9

Snakes, turtle, lizards and crocodiles falls under which category of animals?

Accepted Answer

Snakes, turtles, lizards, and crocodiles are cold-blooded vertebrates covered in scales. They lay eggs and breathe through lungs, which are the defining characteristics of the Reptilian class.

Question 10

The __________ uses an addressing scheme known as URL to indicate the location of files on the web.

Accepted Answer

The World Wide Web (WWW) uses Uniform Resource Locators (URLs) as a standardized naming convention to locate and access documents and resources over the internet.

Question 11

What is dry ice?

Accepted Answer

Dry ice is the solid form of carbon dioxide (CO2). It is used primarily as a cooling agent because it sublimates directly from a solid to a gas without leaving liquid residue.

Question 12

Δ DEF is right angled at E. If m∠F = 45°, then what is the value of 2 Sin F x Cot F?

Accepted Answer

Given F = 45°. We know Sin 45° = 1/√2 and Cot 45° = 1. Substituting these values: 2 × (1/√2) × 1 = √2.

Question 13

India has longest international border with which country? ?

Accepted Answer

India shares its longest international border with Bangladesh, measuring approximately 4,096 kilometers. This extensive border touches five Indian states: West Bengal, Assam, Meghalaya, Tripura, and Mizoram.

Question 14

If PRIMATE is coded as MOFJXQB, then how will COW be coded as?

Accepted Answer

Each letter in the word is shifted backward by 3 positions in the alphabet. Applying -3 to C, O, and W gives Z, L, and T respectively.

Question 15

A shopkeeper allows 25% discount on the marked price of an article and he suffered a loss of 15%. What will be the profit percent if the article is sold at marked price?

Accepted Answer

Let MP = 100. SP after 25% discount = 75. Since loss is 15%, CP = 75 / 0.85 = 1500/17. Selling at MP means profit = 100 - 1500/17 = 200/17. Profit % = (200/1500) * 100 = 13.33%.

Question 16

The Agra fort was built by ___________.

Accepted Answer

The Agra Fort was commissioned by the Mughal Emperor Akbar in 1565. It served as the main residence of the emperors of the Mughal Dynasty until 1638.

Question 17

If a3 + b3 = 72 and ab = 8 , then what is the value of a + b?

Accepted Answer

By hit and trial, let a = 4 and b = 2. Then a³ + b³ = 64 + 8 = 72, and ab = 4 × 2 = 8. Thus, a + b = 4 + 2 = 6.

Question 18

A change in which one or more new substances are formed is called _________.

Accepted Answer

A chemical change involves a chemical reaction where new substances with entirely different properties are formed, unlike physical changes where no new substance is created.

Question 19

IMF has predicted that the global economy would grow at _______ % in 2017.

Accepted Answer

In its World Economic Outlook report, the IMF projected the global economic growth rate for 2017 to be 3.5%, reflecting a slight recovery in global trade and investment.

Question 20

Who was the founder of Banaras Hindu University?

Accepted Answer

Pandit Madan Mohan Malaviya founded the Banaras Hindu University (BHU) in 1916, along with Annie Besant and Sunder Lal, to promote education and Indian culture.