Analogy varieties Question TCS (Part – I)

Total Questions: 36

11. If 7 # 3 # 2 = 237 and 8 # 4 # 1 = 148, then 3 # 5 # 4 = ? [S.S.C CHSL 16/03/2023 (3rd Shift)]

Correct Answer: (c) 453
Solution:The pattern followed here is

Numbers are arranged in reverse order.
7 # 3 # 2 = 237 and 8 # 4 # 1 = 148
Similarly,
3 # 5 # 4 = 453

Hence, 453 is the correct answer.

12. If 7 @ 3 = 343 and 9 @ 3 = 729, then 6 @ 3 = ? [S.S.C CHSL 16/03/2023 (1st Shift)]

Correct Answer: (b) 216
Solution:The pattern followed here is :

@ = power

(7 @ 3) → 7³ = 343
(9 @ 3) → 9³ = 729
Similarly,

(6 @ 3) → 6³ = 216

Hence, 216 is the correct answer.

13. If 13 * 27 * 3 = 1053 and 4 * 8 * 13 = 416, then 3 * 16 * 10 = ? [S.S.C CHSL 15/03/2023 (4th Shift)]

Correct Answer: (b) 480
Solution:The pattern followed here is :

"*" is replaced by "×"
(13 * 27 * 3) → (13 × 27 × 3) = 1053
(4 * 8 * 13) → (4 × 8 × 13) = 416
Similarly,

(3 * 16 * 10) → (3 × 16 × 10) = 480

Hence, 480 is the correct answer.

14. Select the option that is related to the fourth term in the same way as the first term is related to the second term and the fifth term is related to the sixth term. [S.S.C CGL 13/12/2022 (3rd Shift)]

8 : 48 : : ? : 143 : : 15 : 195

Correct Answer: (a) 13
Solution:The pattern followed here is :

n : n² - (n × 2)
(8 : 48) → {8² - (8×2)} = 48
(15 : 195) → {15² - (15 × 2)} = 195

let the missing number be y :
y² - 2y =143
y² - 13y + 11y - 483 =0
y(y - 13) + 11(y - 13)
(y + 11)(y - 13) = 0
(y = -11), (y = 13)
Similarly,

y : 143 : y² - (y × 2) = 143
So, n = 13

Hence, 13 is the correct answer.

15. Select the option that is related to the fourth term in the same way as the first term is related to the second term and the fifth term is related to the sixth term. [S.S.C CGL 13/12/2022 (1st Shift)]

16 : 96 : : ? : : 161 : : 18 : 120

Correct Answer: (b) 21
Solution:The pattern followed here is :

n :n(n + 2)/3
(16 : 96) → 16 × (16+2) ÷ 3 = 96
(18 : 120) → 18 × (18+2) ÷ 3 = 120

let the missing number be y :
y(y + 2) ÷ 3 = 161
y(y + 2) = 161 × 3
y² + 2y - 483 = 0
y² + 23y - 21y - 483 = 0
y(y + 23) - 21(y + 23)
(y - 21)(y + 23) = 0
y - 21 = 0 or y + 23 = 0
hence y = 21 or y = -23
Therefore,

(y : 161) = 21 × (21+2) ÷ 3 = 161

Hence, 161 is the correct answer.

16. Select the set in which the numbers are related in the same way as are the numbers of the following sets. [S.S.C CGL 12/12/2022 (2nd Shift)]

(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits.)

(8, 540, 60)

(9, 70, 7)

Correct Answer: (b) (8, 63, 7)
Solution:The pattern followed here is :

(1st number × 3rd number) + 3rd number = 2nd number
(8, 540, 60) → (8 × 60) + 60 = 540
(9, 770, 7) → (9 × 7) + 7 = 70
Similarly,

(8, 63, 7) → (8 × 7) + 7 = 63

Hence, (8, 63, 7) is the correct answer.

17. Select the set in which the numbers are related in the same way as are the numbers of the following set. [S.S.C CGL 12/12/2022 (1st Shift)]

(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits.)

(17, 59, 625)

(8, 44, 784)

Correct Answer: (b) 12, 69, 2025
Solution:The pattern followed here is :

(2 × 1st number + √3rd number) = 2nd number
(17, 59, 625) → (2 × 17 + √625) = 59
(8, 44, 784) → (2 × 8 + √784) = 44
Similarly,
(12, 69, 2025) → (2 × 12 + √2025) = 69

Hence, (12, 69, 2025) is the correct answer.

18. Select the set in which the numbers are related in the same way as are the numbers of the following sets. [S.S.C CGL 08/12/2022 (4th Shift)]

(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent

(4, 9, 16)

(25, 36, 49)

Correct Answer: (a) (49, 64, 81)
Solution:The pattern followed here is :

(4, 9, 16) → {(2)², (2 + 1)²), (2 + 2)²}
(25, 36, 49) → {(5)², (5 + 1)²), (5 + 2)²}
Similarly,
(49, 64, 81) → {(7)², (7 + 1)², (7 + 2)²)}

Hence, (49, 64, 81) is the correct answer.

19. Select the option that is related to the third term in the same way as the second term is related to the first term and the sixth term is related to the fifth term. [S.S.C CGL 07/12/2022 (2nd Shift)]

5 : 150 :: 6 : ? :: 8 : 576

Correct Answer: (a) 252
Solution:The pattern followed here is :

{(1st number)² + (1st number)³}
(5 : 150) → (5² + 5³) = 150
(8 : 576) → (8² + 8³) = 576
Similarly,

(6 : 252) → (6² + 6³) = 252

Hence, 252 is the correct answer.

20. Select the option that is related to the fourth term in the same way as the first term is related to the second term and the fifth term is related to the sixth term. [S.S.C CGL 06/12/2022 (2nd Shift)]

10 : 45 :: ? : 28 :: 11 : 55

Correct Answer: (b) 8
Solution:The pattern followed here is :

(t₁ : t2) → [{(1st term)² - 1st term} ÷ 2]
(10 : 45) → {(10² - 10) ÷ 2} = 45
(11 : 55) → {(11² - 11) ÷ 2} = 55
Similarly,

(8 : 28) → {(8² - 8) ÷ 2} = 28

Hence, 28 is the correct answer.