SSC CGL Undated PYQs

Question 1

What is the sum of the first 11 terms of an arithmetic progression if the 3rd term is -1 and the 8th term is 19?

Accepted Answer

Using the given values gives 121. However, assuming a typo where the 4th term is -1, d=5 and a=-16. Then S_11 = 11/2[2(-16) + 10(5)] = 99.

Question 2

Select the related letters from the given alternatives. DHL : AEI :: QUY : ? DHL : AEI :: QUY : ?

Accepted Answer

Each letter in the first term is shifted backward by 3 positions to get the second term (D-3=A, H-3=E, L-3=I). Applying this to QUY: Q-3=N, U-3=R, Y-3=V, giving NRV.

Question 3

If a + b = 4 and ab = 3, then what is the value of a3 + b3?

Accepted Answer

Use the formula a³ + b³ = (a+b)³ - 3ab(a+b). Substituting the given values: 4³ - 3(3)(4) = 64 - 36 = 28. Alternatively, a=3 and b=1 satisfies the equations.

Question 4

In 4 years at simple interest the principal increases by 32%. What will be the compound interest earned (in Rs) on Rs. 24,000 in 3 years at the same rate?

Accepted Answer

Rate = 32% / 4 = 8% p.a. CI for 3 years at 8% is calculated as 24000 × [(1.08)³ - 1] = 24000 × 0.259712 ≈ Rs. 6233.

Question 5

Notepad' is a text editor in which of the following operating systems?

Accepted Answer

Notepad is a basic text editor built into all versions of Microsoft Windows. Chrome and Firefox are web browsers, and Macintosh uses TextEdit.

Question 6

What is the percentage increase in the total number of mobiles sold by these four brands from 2014 to 2016?

Accepted Answer

Calculate the total mobiles sold in 2014 and 2016. Find the difference, divide by the 2014 total, and multiply by 100 to get the percentage increase (38.63%).

Question 7

The length of diagonal BD of a parallelogram ABCD is 36 cm. P and Q are the centroids of triangle ABC and triangle ADC respectively. What is the length (in cm) of PQ?

Accepted Answer

The diagonals of a parallelogram bisect each other. The centroids divide the medians in a 2:1 ratio. Thus, the distance PQ is exactly 1/3 of the diagonal BD. 36 / 3 = 12 cm.

Question 8

What is the process of conversion of solid state directly to gaseous state called? ?

Accepted Answer

Sublimation is the process where a substance transitions directly from a solid to a gas without passing through the liquid phase, like dry ice or camphor.

Question 9

Tan 45° + Cosec 60° = Tan 45° + Cosec 60° =

Accepted Answer

Tan 45° = 1 and Cosec 60° = 2/√3. Adding them gives 1 + 2/√3 = (√3 + 2)/√3. Rationalizing the denominator yields (3 + 2√3)/3.

Question 10

What is the SI unit of intensity of sound?

Accepted Answer

Sound intensity level is commonly measured in decibels (dB). Newton measures force, Hertz measures frequency, and Tesla measures magnetic flux density.

Question 11

In the following question, some part of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If a sentence is free from error, select 'No Error'. The sailors divided his (1)/ money around themselves and (2)/ the ship sailed on. (3)/No Error (4)

Accepted Answer

The error lies in part 2. The preposition 'around' is incorrect in this context. It should be replaced with 'among' as the money is distributed among more than two sailors.

Question 12

The weights of 4 boxes are 20, 30, 50 and 70 kilograms. Which of the following cannot be the total weight, in kilograms, of any combination of these boxes and in a combination a box can be used only once?

Accepted Answer

The total weight of all boxes is 170 kg. To form 160 kg, we would need to exclude a 10 kg box, which doesn't exist. Hence, 160 kg is impossible.

Question 13

Who is a major driving force behind the 'Narmada Bachao Andolan'?

Accepted Answer

Medha Patkar is the primary leader and driving force behind the Narmada Bachao Andolan, a social movement protesting against large dams on the Narmada River to protect displaced tribals and farmers.

Question 14

What is the sectorial angle (in degrees) made by the runs scored against Australia in the given pie chart? ?

Accepted Answer

The sectorial angle is calculated by multiplying the percentage of runs scored against Australia (which is 32% in the chart) by 360°. Thus, 32% of 360° = 115.2°.

Question 15

The web uses the __________ to request and serve web pages and programs.

Accepted Answer

HTML (Hyper Text Markup Language) is the standard markup language used to create, structure, and serve web pages and applications over the internet.

Question 16

Nepal does not share its border with which Indian state?

Accepted Answer

Nepal shares its borders with five Indian states: Uttarakhand, Uttar Pradesh, Bihar, West Bengal, and Sikkim. Haryana is an interior state and does not touch Nepal.

Question 17

Who discovered Neon?

Accepted Answer

Neon was discovered in 1898 by British chemists Sir William Ramsay and Morris W. Travers. They isolated it by chilling a sample of air until it became liquid, then capturing the boiling gases.

Question 18

_________first became the capital of a kingdom under the Tomara Rajputs.

Accepted Answer

Delhi first became the capital of a kingdom under the Tomara Rajputs in the 8th century. They were later defeated by the Chauhans of Ajmer in the 12th century.

Question 19

If 92 A 42 B 32 = 56 and 72 A 22 B 12 = 44, then 112 A 52 B 72 = ? 112 A 52 B 72 = ?

Accepted Answer

Correct answer: 3. 47

Question 20

Rukmini Devi Arundale was a reputed dancer and choreographer in which form of dancing?

Accepted Answer

Rukmini Devi Arundale was a legendary Indian classical dancer who revitalized Bharatnatyam. She founded the Kalakshetra Foundation in Chennai to promote and preserve this traditional art form.