Analogy (SSC CHSL 2020 Tier 1)

Total Questions: 43

11. Select the option in which the numbers share the same relationship as that shared by the numbers in the given set. [S.S.C CHSL 19/04/2021 (Morning)]

(12, 18, 225)

Correct Answer: (b) (25, 15, 400)
Solution:The pattern followed here is :

(a, b, c) → {(a + b)² ÷ 4} = c

(12, 18, 225) → {(12 + 18)² ÷ 4} ⇒ 900 ÷ 4 = 225

Similarly,

(25, 15, 400) → {(25 + 15)² ÷ 4} ⇒ 1600 ÷ 4 = 400

Hence, "(25, 15, 400)" is the correct answer.

12. 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 19/04/2021 (Evening)]

(1, 2, 6)

Correct Answer: (a) (5, 30, 930)
Solution:The pattern followed here is :

(a, b, c) → {a × (a + 1)} = b & {b × (b + 1)} = c

(1, 2, 6) → {1 × (1 + 1)} = 2 & {2 × (2 + 1)} = 6

Similarly,

(5, 30, 930) → {5 × (5 + 1)} = 30 & {30 × (30 + 1)} = 930

Hence, "(5, 30, 930)" is the correct answer.

13. Select the option that is related to the third number in the same way as the second number is related to the first number [S.S.C CHSL 19/04/2021 (Evening)]

54 : 81 :: 6 : ?

Correct Answer: (b) 9
Solution:The pattern followed here is :

(a : b) → {(a ÷ 6) × 9} = b

(54 : 81) → {(54 ÷ 6) × 9} ⇒ 9 × 9 = 81, similarly

Similarly,

(6 : 9) → {(6 ÷ 6) × 9} ⇒ 1 × 9 = 9

Hence, "9" is the correct answer.

14. Select the option in which the numbers are related in the same way as are the numbers of the following set. [S.S.C CHSL 04/08/2021 (Morning)]

(9, 12, 18)

Correct Answer: (d) (13, 19, 31)
Solution:The pattern followed here is :

Difference between the 1st and the 2nd number is ‘n’ and that of 2nd and 3rd is ‘2n’.

In (13, 19, 31) → 19 - 13 = 6 and 31 - 19 = 12

So, option (d) is the correct answer.

15. Select the option in which the numbers are related in the same way as are the numbers of the following set. [S.S.C CHSL 04/08/2021 (Afternoon)]

(42, 14, 294)

Correct Answer: (b) (34, 18, 306)
Solution:The pattern followed here is :

{(1st term × 2nd term) ÷ 2} = 3rd term 

So, (34, 18, 306) →  {(34 × 18) ÷ 2} = 306 

16. Select the option in which the numbers share the same relationship as that shared by the given pair of numbers. [S.S.C CHSL 04/08/2021 (Evening)]

185 : 199

Correct Answer: (d) 89 : 106
Solution:The pattern followed here is :

1 + 8 + 5 = 14 ⇒ 185 + 14 = 199

Option (d) 8 + 9 = 17 ⇒ 89 + 17 = 106

17. Select the option in which the numbers are related in the same way as are the numbers of the following set. [S.S.C CHSL 05/08/2021 (Morning)]

47 : 58 : 71

Correct Answer: (a) 72 : 81 : 90
Solution:The pattern followed here is :

The difference between the 1st term and the 2nd term is the digit sum of the first term and the difference between 2nd term

and 3rd term is the digit sum of the 2nd term.

For (47 : 58 : 71)

⇒ 58 - 47 = 11 = (4 + 7) Digit sum of the first number.

⇒ 71 - 58 = 13 = (5 + 8) Digit sum of the second number.

Similarly, For (72 : 81 : 90)

⇒ 81 - 72 = 9 = (7 + 2) Digit sum of the first number.

⇒ 90 - 81 = 9 = (8 + 1) Digit sum of the second number.

18. Select the option in which the numbers share the same relationship as that shared by the given pair of numbers. [S.S.C CHSL 05/08/2021 (Afternoon)]

12 : 20

Correct Answer: (a) 30 : 42
Solution:The pattern followed here is :

⇒ (n² − n) : (n² +n) 

12 : 20 → (4² −4) : (4² +4)

Similarly,

30 : 42 → (6² −6) : (6² +6) 

19. Select the option in which the numbers are related in the same way as are the numbers of the following set. [S.S.C CHSL 05/08/2021 (Afternoon)]

(72, 56, 42)

Correct Answer: (b) (132, 110, 90)
Solution:The pattern followed here is :

Product of consecutive numbers

(72, 56, 42) → (9 × 8), (8 × 7), (7 × 6)

Similarly,

(132, 110, 90) → (12 × 11), (11 × 10), (10 × 9)

20. Select the option in which the numbers are related in the same way as are the numbers of the following set. [S.S.C CHSL 05/08/2021 (Afternoon)]

221 : 348 : 517

Correct Answer: (b) 1005 : 1336 : 1733
Solution:The pattern followed here is :

(a³ +5 : b³ + 5 : c³ +5), where a, b, and c are consecutive integers.

(221 : 348 : 517) → (6³ + 5), (7³ + 5), (8³ + 5)

Similarly,

(1005 : 1336 : 1733) → (10³ + 5), (11³ + 5), (12³ + 5)