SSC CGL Undated PYQs

Question 1

If Cosec θ = 17/8, then what is the value of Cos θ?

Accepted Answer

Cosec θ = Hypotenuse/Opposite = 17/8. Using the Pythagorean triplet (8, 15, 17), the adjacent side is 15. Thus, Cos θ = Adjacent/Hypotenuse = 15/17.

Question 2

The Mongols under ___________ invaded Transoxiana in north-east Iran in 1219.

Accepted Answer

In 1219, Genghis Khan led the Mongol Empire to invade Transoxiana, marking the beginning of the Mongol conquest of the Khwarazmian Empire and the Islamic world.

Question 3

Even if memory of model C was doubled it would be lesser (in GB) than that of model A by?

Accepted Answer

Multiply model C's memory by 2. Subtract this doubled value from model A's memory to find the exact difference, which results in 8 GB.

Question 4

In a certain code language, "PEN-TAN" is written as "0". How is "DEN-COB" written in that code language?

Accepted Answer

Sum the positional values of the letters in each word and find their difference. PEN (35) - TAN (35) = 0. DEN (23) - COB (20) = 3.

Question 5

Which taxi company has more taxis than A but less than D?

Accepted Answer

Based on the provided data chart or table, company C's taxi count falls strictly between the number of taxis owned by company A and company D (A < C < D).

Question 6

Who is the winner of 2016-17 Premier League (Football)?

Accepted Answer

Chelsea won the 2016-17 English Premier League title under manager Antonio Conte, securing 93 points. Tottenham Hotspur finished as the runners-up in that season.

Question 7

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

Accepted Answer

The British forced Indian farmers to grow specific crops for their needs. In Madras (now Chennai), they specifically forced cultivators to grow rice to sustain their colonial economy and feed their armies.

Question 8

In the following question, select the related number from the given alternatives. 850 : 863 : : 430 : ? 850 : 863 : : 430 : ?

Accepted Answer

The logic is adding the sum of the digits to the number itself. 850 + (8+5+0) = 863. Similarly, 430 + (4+3+0) = 437.

Question 9

Which among the following is not a direct tax?

Accepted Answer

Income tax, wealth tax, and corporate tax are all levied directly on the income or wealth of individuals or organizations. Since all are direct taxes, 'None of these' is correct.

Question 10

Improve the bracketed part of the sentence. Father (would have been appreciated) your efforts if you had informed him.

Accepted Answer

The sentence is a third conditional, requiring 'would have + past participle' in the main clause for an unreal past condition. 'Appreciated' is the correct active form.

Question 11

Which metal is responsible for Itai-Itai disease?

Accepted Answer

Itai-Itai disease is caused by prolonged cadmium poisoning, which leads to severe bone pain and kidney failure. It was first documented in Japan due to industrial pollution.

Question 12

D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD:DB = 2:5 and area of ΔABC is 98 cm sq, what is the area (in sq cm) of quadrilateral BDEC?

Accepted Answer

Since DE || BC, ΔADE ~ ΔABC. The ratio of their sides is AD/AB = 2/7. The ratio of their areas is (2/7)² = 4/49. Area of ΔADE = (4/49) × 98 = 8. Area of BDEC = 98 - 8 = 90.

Question 13

The two equal sides of an isosceles triangle is 20 cm each and the third side is 30 cm. What is the area(in cm2) of the triangle?

Accepted Answer

Draw a perpendicular to the base (30 cm), splitting it into 15 cm. Height = √(20² - 15²) = √175 = 5√7. Area = 1/2 × 30 × 5√7 = 75√7 cm².

Question 14

Which of the following was invented by Sir Humphry Davy?

Accepted Answer

Sir Humphry Davy invented the safety lamp (Davy lamp) in 1815. It was specifically designed for use in coal mines to prevent explosions caused by flammable gases.

Question 15

If [7(5x/3 - 3/2)]/2 + 3/2 = 1/4, then what is the value of x?

Accepted Answer

Subtract 3/2 from 1/4 to get -5/4. Multiply by 2 and divide by 7 to get 5x/3 - 3/2 = -5/14. Solving further gives x = 24/35.

Question 16

Which Indian state hosted the 3 days long 'International Yoga Fest' held from 8th to 10th March, 2017?

Accepted Answer

The 3-day International Yoga Fest in March 2017 was organized by the Ministry of AYUSH and Morarji Desai National Institute of Yoga in New Delhi.

Question 17

If 9 * 2 * 5 = 23 and 1 * 4 * 8 = 29, then 1 * 6 * 3 = ? 1 * 6 * 3 = ?

Accepted Answer

Correct answer: 1. 19

Question 18

What is the value of Tan 60o + Cosec 60o?

Accepted Answer

We know that Tan 60° = √3 and Cosec 60° = 2/√3. Adding them gives: √3 + 2/√3 = (3 + 2)/√3 = 5/√3.

Question 19

Cumulative net exports (in million USD) from the beginning of 2012 to the end of 2015 was?

Accepted Answer

Add the net export values for the years 2012, 2013, 2014, and 2015 from the given data. The cumulative sum of these four years equals exactly 20 million USD.

Question 20

Select the related letters from the given alternatives. IJK : RQP :: TUV : ? IJK : RQP :: TUV : ?

Accepted Answer

Each letter is replaced by its opposite letter in the alphabet (sum of positions = 27). T becomes G, U becomes F, and V becomes E. Thus, TUV relates to GFE.