Analogy (SSC CHSL 2019 Tier 1)

1. Select the option that is related to the third number in the same way as the second number is related to the first number. [SSC CHSL 17/03/2020 (Morning)]

27 : 125 :: 343 : ?

(a) 1000
(b) 512
(c) 729
(d) 1343

Correct Answer: (c) 729

Solution:(3)³ : (3 + 2)³ → (3)³ : (5)³ → 27 : 125
Similarly,
(7)³ : (7 + 2)³ → (7)³ : (9)³ → 343 : 729

2. Select the option that is related to the third term in the same way as the second term is related to the first term. [SSC CHSL 17/03/2020 (Evening)]

H18J : J22L :: P34R : ?

(a) R38T
(b) R36T
(c) R36S
(d) T38V

Correct Answer: (a) R38T

Solution:H + J → 8 + 10 → 18
J + L → 10 + 12 → 22
P + R → 16 + 18 → 34
Similarly, R + T → 18 + 20 → 38

3. Select the option in which the numbers are related in the same way as are the numbers in the given set. [SSC CHSL 18/03/2020 (Afternoon)]

(36, 10, 16)

(a) (24, 9, 18)
(b) (81, 11, 4)
(c) (13, 5, 8)
(d) (21, 5, 28)

Correct Answer: (b) (81, 11, 4)

Solution:10 → √36 + √16 → 6 + 4
Similarly, 11 → √81 + √4 → 9 + 2

4. Select the option in which the number set shares the same relationship as that shared by the given number set. [SSC CHSL 19/03/2020 (Afternoon)]

(52, 48, 64)

(a) (92, 90, 8)
(b) (82, 78, 81)
(c) (70, 62, 441)
(d) (61, 55, 36)

Correct Answer: (a) (92, 90, 8)

Solution:52 - 48 → 4; (4)³ → 64
Similarly, 92 - 90 → 2; (2)³ → 8

5. Select the option that is related to the third 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 19/03/2020 (Evening)]

27 : 6 :: 8 : ? :: 64 : 8

(a) 2
(b) 4
(c) 1
(d) 3

Correct Answer: (b) 4

Solution:27 : 6 :: 8 : ? → 64 : 8
→ (3)³ : 3 × 2 :: (2)³ : 2 × 2 :: (4)³ : 4 × 2
→ (3)³ : 6 :: (2)³ : 4 :: (4)³ : 8

6. Select the option in which the numbers are related in the same way as are the numbers in the given set. [SSC CHSL 12/10/2020 (Morning)]

(3, 68, 5)

(a) (5, 95, 8)
(b) (2, 72, 10)
(c) (4, 65, 5)
(d) (2, 10, 1)

Correct Answer: (d) (2, 10, 1)

Solution:(5 + 3)² + (5 - 3)²
→ (8)² + (2)² → 64 + 4 → 68
Similarly,
(2 + 1)² + (2 - 1)² → (3)² + (1)² → 9 + 1 → 10

7. Select the option in which the numbers are related in the same way as are the numbers in the given set. [SSC CHSL 12/10/2020 (Morning)]

(7, 15, 31)

(a) (2, 17, 14)
(b) (5, 625, 6)
(c) (6, 13, 21)
(d) (3, 7, 15)

Correct Answer: (d) (3, 7, 15)

Solution:7 × 2 + 1 → 15, 15 × 2 + 1 → 31
Similarly, in option (d) 3 × 2 + 1 = 7, 7 × 2 + 1 = 15

8. Select the option in which the numbers share the same relationship as that shared by the given number-pair. [SSC CHSL 12/10/2020 (Afternoon)]

34 : 210

(a) 38 : 236
(b) 66 : 402
(c) 47 : 282
(d) 54 : 100

Correct Answer: (b) 66 : 402

Solution:34 : 210 → 34 : (34 + 1) × 6 → 210
Similarly, 66 : (66 + 1) × 6 = 402

9. Select the option that is related to the third term in the same way as the second term is related to the first term. [SSC CHSL 12/10/2020 (Afternoon)]

EASY : IETZ :: LAKE : ?

(a) PBKL
(b) MELI
(c) PELI
(d) MBLI

Correct Answer: (b) MELI

Solution:Increase of 1 in consonants and increase of 4 in vowels.

10. Select the option in which the numbers are related in the same way as are the numbers in the given set. [SSC CHSL 12/10/2020 (Afternoon)]

(9, 217, 8)

(a) (5, 625, 6)
(b) (4, 37, 3)
(c) (3, 29, 6)
(d) (2, 76, 5)

Correct Answer: (b) (4, 37, 3)

Solution:Given set → (9, 217, 8) → (9, 9³ - 8³, 8)
→ (9, 729 - 512, 8) → (9, 217, 8)
Similarly, (4, 37, 3) → (4, 4³ - 3³, 3)
→ (4, 64 - 27, 3) → (4, 37, 3)