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

(a) 40
(b) 56
(c) 44
(d) 52

Correct Answer: (c) 44

Solution:Logic:

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

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

(a) 405
(b) 450
(c) 504
(d) 540

Correct Answer: (c) 504

Solution:Logic:

In 5 : 117, 5 : 5³ - 8 = 5 : 125 - 8 = 5 : 117

In 6 : 208, 6 : 6³ - 8 = 6 : 216 - 8 = 6 : 208
Similarly, in 8 : (?), 8 : 8³ - 8 = 8 : 512 - 8
= 8 : 504

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. [SSC CHSL 02/06/2022 (Morning)]

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

(a) 84
(b) 74
(c) 77
(d) 85

Correct Answer: (c) 77

Solution:In 9 : 135, 9(9 - 1) + 9(9 - 2)
= 9 × 8 + 9 × 7 = 72 + 63 = 135
In 6 : 54, 6(6 - 1) + 6(6 - 2) = 6 × 5 + 6 × 4
= 30 + 24 = 54
Similarly In 7 : ?, 7(7 - 1) + 7(7 - 2) = 7 × 6

7 × 5 = 42 + 35 = 77
So, we get 7 : 77

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. [SSC CHSL 02/06/2022 (Morning)]

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

(a) 350
(b) 360
(c) 325
(d) 365

Correct Answer: (a) 350

Solution:Logic :- n :

In 12 : 208, 12 :

= 12 : [144 + 4³] = 12 : [144 + 64]

= 12 : 208

In 9 : 108, 9 :
= 9 : [81 + 27] = 9 : 108

Similarly, in 15 : (?), 15 :
= 15 : [225 + 5³] = 15 : [225 + 125]
= 15 : 350

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. [SSC CHSL 02/06/2022 (Evening)]

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

(a) 121
(b) 135
(c) 125
(d) 131

Correct Answer: (a) 121

Solution:Logic :- n × 3 :

In 27 : 81, 9 × 3 : 9² = 27 : 81
In 18 : 36, 6 × 3 : 6² = 18 : 36
Similarly,
in 33 : (?), 11 × 3 : 11² = 33 : 121

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. [SSC CHSL 06/06/2022 (Morning)]

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

(a) 58
(b) 50
(c) 61
(d) 56

Correct Answer: (c) 61

Solution:Logic :- (1st no + 1)² - 3 = 2nd no
In 5 : 33, (5 + 1)² - 3 = 6² - 3 = 36 - 3 = 33
In 11 : 141, (11 + 1)² - 3 = 12² - 3
= 144 - 3 = 141
Similarly, In 7 : ?, we have (7 + 1)² - 3
= 8² - 3 = 64 - 3 = 61

17. Select the set in which the numbers are related in the same way as are the numbers of the following set. [SSC 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)

(a) (75, 69, 470)
(b) (45, 39, 270)
(c) (65, 59, 360)
(d) (55, 49, 310)

Correct Answer: (b) (45, 39, 270)

Solution:Logic :-

In (17, 13, 68) : 17 × (17 - 13)
= 17 × 4 = 68
In (55, 46, 495) : 55 × (55 - 46)
= 55 × 9 = 495
Similarly, in (45, 39, 270) : 45 × (45 - 39)
= 45 × 6 = 270

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. [SSC CHSL 06/06/2022 (Morning)]

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

(a) 156
(b) 152
(c) 168
(d) 160

Correct Answer: (b) 152

Solution:Logic :-
(1st no + 1)³ - (1st no - 1)³ = 2nd no
In 6 : 218, (6 + 1)³ - (6 - 1)³
= 7³ - 5³ = 343 - 125 = 218
In 3 : 56, (3 + 1)³ - (3 - 1)³
= 4³ - 2³ = 64 - 8 = 56
Similarly, in 5 : ?, we get
(5 + 1)³ - (5 - 1)³ = 6³ - 4³ = 216 - 64
= 152

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. [SSC CHSL 06/06/2022 (Morning)]

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

(a) 21
(a) 21
(c) 17
(d) 13

Correct Answer: (d) 13

Solution:Logic :- n :

In 7 : 512, 7 : (7 + 1)³ = 7 : 8³ = 7 : 512
In 15 : 4096, 15 : (15 + 1)³ = 15 : 4096
Similarly,
in (?) : 2744, 13 : (13 + 1)³
= 13 : 14³ = 13 : 2744

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. [SSC CHSL 06/06/2022 (Afternoon)]

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

(a) 10
(b) 13
(c) 12
(d) 11

Correct Answer: (c) 12

Solution:(5)³ - 4 : 5 + 4 = 121 : 9
(6)³ - 4 : 6 + 4 = 212 : 10
Similarly
(8)³ - 4 : 8 + 4 = 508 : 12

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