Analogy – Railway reasoning part V

Total Questions: 50

1. Select the option in which the numbers are related in the same way as are the numbers of the following sets. [Group-D 26/09/2022 (Morning)]

(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits.)
(85, 198, 52)
(77, 270, 32)

Correct Answer: (b) (62, 90, 47)
Solution:

2nd number = (1st number - 3rd number) x 6
In (85, 198, 52) ⇒ 85 - 52 = 33,
33 × 6 = 198
In (77, 270, 32) ⇒ 77- 32 = 45,
45 × 6 = 270
Similarly,
In (62, 90, 47) ⇒ 62 - 47 = 15, 15 × 6 = 90

2. Select the set in which the numbers are related in the same way as are the numbers of the following sets. [Group-D 26/09/2022 (Afternoon)]

(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits.)
(13, 16, 21)
(28, 34, 45)

Correct Answer: (c) (37, 18, 46)
Solution:

(13, 16, 21) = 13 + 16/2 = 21
(28, 34, 45) = 28 + 34/2 = 45
In option (c) → (37, 18, 46) = 37 + 18/2 = 46

3. Select the set in which the numbers are related in the same way as are the numbers of the following sets. [Group-D 26/09/2022 (Afternoon)]

(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits.)
(10, 150, 3)
(8,80, 2)

Correct Answer: (c) (18,270, 3)
Solution:

2nd number = (1st number × 3rd number) × 5
In (10, 150, 3) ⇒ 10 × 3 × 5 = 150
In (8, 80, 2) ⇒ 8 × 2 × 5 = 80
Similarly,
In (18, 270, 3) ⇒ 18 × 3 × 5 = 270

4. Select the set in which the numbers are related in the same way as are the numbers of the following sets. [Group-D 26/09/2022 (Evening)]

(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits..)
(13, 84, 8)
(21, 136, 13)

Correct Answer: (a) (27, 140, 8)
Solution:

(1st number + 3 rd number) x 4
In (13, 84, 8) ⇒ (13 + 8)  x  4 = 21 x 4 = 84
In (21, 136, 13) ⇒ (21 + 13) x 4 = 34 × 4 = 136
Similarly,
In (27, 140, 8) ⇒ (27 + 8) x 4 = 35 × 4 = 140

5. Select the option that is related to the fifth letter-cluster in the same way as the second letter-cluster is related to the first letter-cluster and the fourth letter-cluster is related to the third letter-cluster. [Group-D 27/09/2022 (Morning)]

ZCD : XAB :: MDV : KBT :: RNT : ?

Correct Answer: (a) PLR
Solution:

6. Select the set in which the numbers are related in the same way as are the numbers of the following sets. [Group-D 27/09/2022 (Evening)]

(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits.)
(17, 238, 7)
(23, 414, 9)

Correct Answer: (a) (27, 270, 5)
Solution:

2nd number = (1st number x 3rd number) x 2
In (17, 238, 7) ⇒ 17 x 7 x 2 = 238
In (23, 414, 9) ⇒ 23 x 9 x 2 = 414 Similarly,
In (27, 270, 5) ⇒ 27 x 5 x 2 = 270

7. Select the set in which the numbers are related in the same way as are the numbers of the following sets. [Group-D 27/09/2022 (Evening)]

(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits.)
(11, 117, 2)
(9, 56,  5)

Correct Answer: (a) (12, 108 ,6)
Solution:

2nd number = (1st number)² - (3rd number)²
In (11, 117, 2) ⇒ 11² - 2² = 121 - 4 = 117
In (9, 56, 5) ⇒ 9² - 5² = 81 - 25 = 56
Similarly,
In (12, 108, 6) ⇒ 12² - 6² = 144 - 36 = 108

8. 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. [Group-D 28/09/2022 (Morning)]

12 : 20 :: 30 : ? :: 56 : 72

Correct Answer: (a) 42
Solution:(n-1) x n : n x (n+1)
12 : 20 ⇒ 3 x 4 : 4 x 5
30 : 42 ⇒ 5× 6 : 6 × 7
56 : 72 ⇒ 7× 8 : 8 x 9
Hence, ? = 42

9. In the given letter-cluster pairs, the first letter-cluster is related to the second letter-cluster following a certain logic. Study the given pairs carefully, and from the given options, select the pair that follows the same logic. [Group-D 28/09/2022 (Morning)]

YVQ : TQL
WKG : RFB

Correct Answer: (a) SIY : NDT
Solution:

In YVQ : TQL ⇒ Y - 5 = T,  V - 5 = Q, Q - 5 = L
In WKG : RFB ⇒ W - 5 = R,  K - 5 = F
G - 5 = B
Similarly,
In SIY : NDT ⇒ S - 5 = N, I - 5 = D, Y - 5 = T

10. 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. [Group-D 28/09/2022 (Afternoon)]

20 : 30 :: 42 : ? :: 72 : 90

Correct Answer: (d) 56
Solution:

In 20 : 30 ⇒ 10 (2 : 3)
In 42 : ? ⇒ 14 (3 : 4)
In 72 : 90 ⇒ 18 (4 : 5)