SSC CGL Undated PYQs

Question 1

India by the Nile', was a cultural festival celebrated by India and _____.

Accepted Answer

'India by the Nile' is an annual cultural festival held in Egypt to celebrate Indian culture, arts, and bilateral ties between India and Egypt along the Nile river.

Question 2

Select the odd number from the given alternatives.

Accepted Answer

18, 45, and 54 are all multiples of 9 (the sum of their digits is 9). However, 55 is not divisible by 9, making it the odd one out.

Question 3

P and Q are brothers. P is the father of S. R is the only son of Q and is married to U. How is U related to S?

Accepted Answer

P and Q are brothers. S is P's child, and R is Q's son, making S and R cousins. Since U is R's wife, U becomes the sister-in-law to S.

Question 4

If 3 # 6 * 9 = 45 and 9 # 8 * 7 = 105, then what is the value of 5 * 6 # 3 = ?

Accepted Answer

The pattern is that '#' concatenates the numbers and '*' means addition. So, 3#6 = 36, and 36 + 9 = 45. Similarly, 5 + 6#3 = 5 + 63 = 68.

Question 5

When a number is increased by 105, it becomes 135% of itself. What is the number?

Accepted Answer

Let the number be x. Increasing it by 105 makes it 135% of x. This means the 35% increase equals 105. So, 35% of x = 105, which gives x = 300.

Question 6

What is the quotient when 7251 is divided by 66?

Accepted Answer

Divide 7251 by 66. 66 × 100 = 6600, leaving 651. Since 66 × 10 = 660, 66 × 9 = 594. Thus, 7251 = 66 × 109 + 57. The quotient is 109.

Question 7

Arrange the given words in the sequence in which they occur in the dictionary. 1. Dillydallying 2. Dillydallied 3. Dillydally 4. Dilled 5. Dillydallies 1. Dillydallying 2. Dillydallied 3. Dillydally 4. Dilled 5. Dillydallies

Accepted Answer

Compare the letters alphabetically. 'Dilled' (4) comes first. Then for 'Dillydalli...', 'ed' (2) comes before 'es' (5). Finally, 'Dillydally' (3) comes before 'Dillydallying' (1). Order: 4, 2, 5, 3, 1.

Question 8

What is the area (in sq cm) of an equilateral triangle of side 14 cm?

Accepted Answer

The area of an equilateral triangle is given by the formula (√3/4) × side². Plugging in side = 14 cm, the area is (√3/4) × 14 × 14 = 49√3 sq cm.

Question 9

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 10

Select the related letters from the given alternatives. 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 11

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 12

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 13

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 14

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 15

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 16

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 17

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 18

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 19

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 20

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.