SSC GD 2021 PYQs

Question 1

When a number is added to its multiple of 5 and its square, the sum of these three numbers is 91. Find the number.

Accepted Answer

Let the number be x. The equation is x + 5x + x² = 91. This simplifies to x² + 6x - 91 = 0. Factoring gives (x+13)(x-7)=0. Since x must be positive, x=7.

Question 2

Select the option in which the numbers are related in the same way as are the numbers in the given set.11, 4, 137

Accepted Answer

The pattern is A² + B² = C. For the given set (11, 4, 137), 11² + 4² = 121 + 16 = 137. Option 2 follows this: 9² + 8² = 81 + 64 = 145.

Question 3

Six friends A, B, C, D, E, and F are sitting in a straight horizontal row facing north. B sits between F and C. E sits third to the right of C. D is sitting immediately to the left of E. Who sits second to the right of B?

Accepted Answer

Arrange the friends based on the given clues: C _ _ E, then D E. B is between F and C. The final arrangement is F B C A D E. A is second to the right of B.

Question 4

If 'white' is called 'black', 'black' is called 'grey', 'grey' is called 'red', 'red' is called 'green', 'green' is called 'blue' and 'blue' is called 'yellow', then what will be the colour of 'Stop' signal light?

Accepted Answer

The actual color of a 'Stop' signal light is red. According to the given coding, 'red' is called 'green'. Therefore, the stop signal light will be green.

Question 5

P, Q, R, S, T and U are sitting on a bench. Q is at the right end. R is sitting to the immediate right of S. U is sitting to the immediate left of T, and T is sitting to the immediate left of Q. P is sitting to the immediate left of S. Who is sitting at the left end?

Accepted Answer

Arrange the people based on given clues: Q is at the right end. T is left of Q. U is left of T. R is right of S. P is left of S. This forms the sequence P-S-R-U-T-Q. P is at the left end.

Question 6

Which two mathematical symbols should be interchanged to make the following equation balanced?56 - 39 × 4 ÷ 12 + 33 = 36

Accepted Answer

Interchanging '+' and '-' gives 56 + 39 × 4 ÷ 12 - 33. Applying BODMAS: 56 + 39 × (1/3) - 33 = 56 + 13 - 33 = 69 - 33 = 36. This matches the right side.

Question 7

‘Nephrologist’ is related to ‘Kidney’ in the same way as ‘Cardiologist’ is related to ‘______’

Accepted Answer

A Nephrologist specializes in kidneys. Similarly, a Cardiologist specializes in the heart. This is a direct professional-organ relationship.

Question 8

Select the option which is related to the third number in the same way as the second number is related to the first number.7 : 56 :: 13 : ?

Accepted Answer

The pattern is n : n * (n+1). For 7:56, it's 7 * (7+1) = 7 * 8 = 56. Applying this, for 13, it's 13 * (13+1) = 13 * 14 = 182. Wait, the correct answer is 104. Let's re-evaluate. The pattern is n : n * 8. So 7 * 8 = 56. Then 13 * 8 = 104.

Question 9

The following is a non-standard open dice. Which two pages of the dice need to be interchanged to make a standard dice?

Accepted Answer

In a standard dice, opposite faces sum to 7. The given open dice has 1 opposite 3, 2 opposite 4, and 5 opposite 6. To make it standard, 2 and 3 must be interchanged so 1 is opposite 6, 2 opposite 5, and 3 opposite 4.

Question 10

In a certain code language, COACH is coded as 90, and POST is coded as 210. How will NOISE be coded in that language?

Accepted Answer

Assign numerical values to letters (A=1, B=2...). Sum these values for COACH (3+15+1+3+8=30) and multiply by the number of letters (30*3=90). Apply the same logic to NOISE (14+15+9+19+5=62), then multiply by 3 (62*3=186).

Question 11

Select the combination of letters which when sequentially placed in the blanks of the given series will complete the series.P E _ _ L E P _ _ P L E _ _ O P _ _

Accepted Answer

The series follows a repeating pattern of 'PEOPLE'. Fill in the blanks to complete this sequence, resulting in option 3.

Question 12

In a certain code language, 'LEMON' is written as 'ELMNO'. How will 'CLUSTER' be written in that language?

Accepted Answer

The word 'LEMON' is rearranged alphabetically to form 'ELMNO'. Similarly, 'CLUSTER' when arranged alphabetically becomes 'CELRSTU'.

Question 13

If Samaira is the daughter of my father's mother's only son, how is Samaira related to me?

Accepted Answer

My father's mother's only son is my father. So, Samaira is my father's daughter. Therefore, Samaira is my sister.

Question 14

In an imaginary mathematical system, symbol '–' stands for addition, symbol '+' stands for division, symbol '×' stands for subtraction, and symbol '÷' stands for multiplication. All other rules of mathematics are the same as in the existing system. What is the value of the following expression?240 × 72 + 8 ÷ 24 – 6

Accepted Answer

Substitute the symbols: 240 - 72 ÷ 8 × 24 + 6. Apply BODMAS: 240 - 9 × 24 + 6. Then 240 - 216 + 6 = 24 + 6 = 30.

Question 15

In a certain code language, 'PHENYL' is coded as ‘9-11-17-8-5-13’ and 'COLONY' is coded as ‘6-12-13-12-8-5’. How will 'COLONEL' be coded in that language?

Accepted Answer

Observe the pattern: each letter is assigned a unique number. P=9, H=11, E=17, N=8, Y=5, L=13. C=6, O=12, L=13, N=8, Y=5. Apply these mappings to 'COLONEL' to get 6-12-13-12-8-17-13.

Question 16

Select the number from among the given options that can replace the question mark(?) in the following series.14, 15, 24, 49, 98, 179, ?

Accepted Answer

The differences between consecutive terms are 1, 9, 25, 49, 81. These are squares of odd numbers (1², 3², 5², 7², 9²). The next difference will be 11² = 121. So, 179 + 121 = 300.

Question 17

Select the letter - cluster from among the given options that can replace the question mark (?) in the following series.BFI, EIL, HLO, KOR, ?

Accepted Answer

Each letter in a cluster advances by 3 positions in the alphabet (B+3=E, F+3=I, I+3=L). Applying this pattern to KOR, K+3=N, O+3=R, R+3=U, giving NRU.

Question 18

There are six persons, M, N, P, Q, R and S, in a family. S is the paternal grandmother of M. P is the sister of R. N is the father of P. M is the only son of Q and R. N does not have any married daughter. How is M related to N?

Accepted Answer

Construct the family tree: N is P's father. P is R's sister. M is Q and R's only son. S is M's paternal grandmother. This makes N M's grandfather. Therefore, M is N's grandson.

Question 19

In a code language, 'VOLUME' is written as 'AUQARI'. In the same language 'DESIGN' will be written as?

Accepted Answer

Consonants are shifted by +5, while vowels are replaced by the next vowel in the sequence (A, E, I, O, U). Applying this to DESIGN gives IIXOLS.

Question 20

O, P, Q, R, S, T and U are sitting in a row facing north. U is sitting to the immediate right of T. Q is sitting in between R and O. P, who is on the extreme right, is sitting to the immediate right of O. S is sitting to the immediate left of R. Who is sitting in the middle of the row ?

Accepted Answer

P is at the extreme right, next to O. Q is between R and O. S is to the left of R. U is to the right of T. The arrangement is T U S R Q O P. R is in the middle.