Analogy (SSC CHSL 2021 Tier 1)

Total Questions: 33

11. 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. [SSC CHSL 01/06/2022 (Evening)]

12 : 139 :: 7 : ? :: 18 : 319

Correct Answer: (c) 44
Solution:Logic:  n : n² - 5
In 12 : 139, 12 : 12² - 5 = 12 : 144 - 5 = 12 : 139
In 18 : 319, 18 : 18² - 5 = 18 : 324 - 5 = 18 : 319
Similarly, 7 : (?), 7 : 7² - 5 = 7 : 49 - 5
= 7 : 44

12. Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number. [S.S.C CHSL 01/06/2022 (Evening)]

5 : 117 :: 6 : 208 :: 8 : ?

Correct Answer: (c) 504
Solution:The pattern followed here is :

(a : b) → a³ - 8 = b

(5 : 117) → 5³ - 8 ⇒ 125 - 8 = 117

(6 : 208) → 6³ - 8 ⇒ 216 - 8 = 208

Similarly,

(8 : ?) → 8³ - 8 ⇒ 512 - 8 = 504

Hence, "504" is the correct answer.

13. Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number. [S.S.C CHSL 02/06/2022 (Morning)]

9 : 135 :: 6 : 54 :: 7 : ?

Correct Answer: (c) 77
Solution:The pattern followed here is :

(9 : 135) → {9(9 - 1) + 9(9 - 2)} ⇒ {(9 × 8) + (9 × 7)} ⇒ 72 + 63 = 135

(6 : 54) → {6(6 - 1) + 6(6 - 2)} ⇒ {(6 × 5) + (6 × 4)} ⇒ 30 + 24 = 54

Similarly,

(7 : ?) → {7(7 - 1) + 7(7 - 2)} ⇒  {(7 × 6) + (7 × 5)} ⇒ 42 + 35 = 77

Hence, "77" is the correct answer.

14. Select the option that is related to the fifth term in the same way as the second term is related to the first term and the fourth term is related to the third term. [S.S.C CHSL 02/06/2022 (Morning)]

12 : 208 :: 9 : 108 :: 15 : ?

Correct Answer: (a) 350
Solution:The pattern followed here is :

(a : b) → {a² + (a ÷ 3)³} = b 

(12 : 208) → {12² + (12 ÷ 3)³)} ⇒ 144 + 4³ ⇒ 144 + 64 = 208

(9 : 108) → {9² + (9 ÷ 3)³)} ⇒ 81 + 3³ ⇒ 81 + 27 = 108

Similarly,

(15 : ?) → {15² + (15 ÷ 3)³)} ⇒ 225 + 5³ ⇒ 225 + 125 = 350

Hence, "350" is the correct answer.

15. Select the option that is related to the fifth term in the same way as the second term is related to the first term and fourth term is related to the third term. [S.S.C CHSL 02/06/2022 (Evening)]

27 : 81 :: 18 : 36 :: 33 : ?

Correct Answer: (a) 121
Solution:The pattern followed here is :

(a : b) → √b × 3 = a

(27 : 81) → √81 × 3 ⇒ 9 × 3 = 27

(18 : 36) → √36 × 3 ⇒ 6 × 3 = 18

Similarly,

(33 : x) → √x × 3 = 33

⇒ √x = 33 ÷ 3

⇒ √x = 11 (On squaring both side)

x = 121

Hence, "121" is the correct answer.

16. Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number. [S.S.C CHSL 06/06/2022 (Morning)]

5 : 33 :: 11 : 141 :: 7 : ?

Correct Answer: (c) 61
Solution:The pattern followed here is :

(a : b) → {(a + 1)² - 3} = b

(5 : 33) → {(5 + 1)² - 3} ⇒ 6² - 3 ⇒ 36 - 3 = 33

(11 : 141) → {(11 + 1)² - 3} ⇒ 12² - 3 ⇒ 144 - 3 = 141

Similarly,

(7 : ?) → {(7 + 1)² - 3} ⇒ 8² - 3 ⇒ 64 - 3 = 61

Hence, "61" 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 CHSL 06/06/2022 (Morning)]

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

(17, 13, 68),

(55, 46, 495)

Correct Answer: (b) (45, 39, 270)
Solution:The pattern followed here is :

(a, b, c) → {a × (a - b)} = c 

(17, 13, 68) → {17 × (17 - 13)} ⇒ 17 × 4 = 68

(55, 46, 495) → {55 × (55 - 46)} ⇒ 55 × 9 = 495

Similarly,

(45, 39, 270) → {45 × (45 - 39)} ⇒ 45 × 6 = 270

Hence, "(45, 39, 270)" is the correct answer.

18. Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number. [S.S.C CHSL 06/06/2022 (Morning)]

6 : 218 :: 3 : 56 :: 5 : ?

Correct Answer: (b) 152
Solution:The pattern followed here is :

(a : b) → {(a + 1)³ - (a - 1)³} = b

(6 : 218) → {(6 + 1)³ - (6 - 1)³} ⇒ 7³ - 5³ ⇒ 343 - 125 = 218

(3 : 56) → {(3 + 1)³ - (3 - 1)³} ⇒ 4³ - 2³ ⇒ 64 - 8 = 56

Similarly,

(5 : ?) → {(5 + 1)³ - (5 - 1)³} ⇒ 6³ - 4³ ⇒ 216 - 64 = 152

Hence, "152" is the correct answer.

19. 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 CHSL 06/06/2022 (Morning)]

7 : 512 :: ? : 2744 :: 15 : 4096

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

(a : b) → (a + 1)³ = b 

(7 : 512) → (7 + 1)³ ⇒ 8³ = 512

(15 : 4096) → (15 + 1)³ ⇒ 16³ = 4096

Similarly,

(13 : 2744) → (13 + 1)³ ⇒ 14³ = 2744

Hence, "13" is the correct answer.

20. Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number. [S.S.C CHSL 06/06/2022 (Afternoon)]

121 : 9 :: 212 : 10 :: 508 : ?

Correct Answer: (c) 12
Solution:The pattern followed here is :

(a : b) → {(b - 4)³ + 4 = a

(121 : 9) → {(9 - 4)³ - 4} ⇒ 5³ - 4 ⇒ 125 - 4 = 121

(212 : 10) → {(10 - 4)³ - 4} ⇒ 6³ - 4 ⇒ 216 - 4 = 212

Similarly,

(508 : 12) → {(12 - 4)³ - 4} ⇒ 8³ - 4 ⇒ 512 - 4 = 508

Hence, "12" is the correct answer.