Analogy – Railway reasoning part III

Total Questions: 50

11. 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. [Group-D 24/08/2022 (Evening)]

27 : 140 :: 22 : 115 :: 32 : ?

Correct Answer: (b) 165
Solution:

27 : 140 ⇒ 27 × 5 + 5 = 140
22 : 115 ⇒ 22 × 5 + 5 = 115
Similarly,
22 : ? ⇒ 32 × 5 + 5 = 165

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. [Group-D 25/08/2022 (Morning)]

6 : 150 :: 4 : 36 :: 5 : ?

Correct Answer: (a) 80
Solution:

n : n × (n - 1)²
6 × 5² = 6 × 25 = 150
4 × 3² = 4 × 9 = 36
Similarly,
5 × 4² = 5 × 16 = 80

13. Select the set in which the numbers are related in the same way as are the numbers of the following sets. [Group-D 25/08/2022 (Morning)]

(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits..)
(12, 61, 7)
(15,51, 6)

Correct Answer: (a) (14, 78, 8)
Solution:

√(2nd number - 1st number)
= 3rd number
(12,61,7) ⇒ √(61 – 12) = √49 = 7
(15, 51, 6) ⇒ √(51– 15) = √36 = 6
Similarly,
(14, 78, 8) = √(78 - 14) = √64 = 8

14. Select the set in which the numbers are related in the same way as are the numbers of the following sets. [Group-D 25/08/2022 (Afternoon)]

(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits..)
(5, 21, 2)
(7,33, 4)

Correct Answer: (c) (8, 51, 9)
Solution:

(First number + Third number) x 3 = Second number i.e.
(5, 21, 2) ⇒ (5 + 2) × 3 = 21
(7, 33, 4) ⇒ (7 +4) × 3 = 33
Similarly, (8, 51, 9) ⇒ (8 + 9) x 3 = 51.

15. 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. [Group-D 25/08/2022 (Afternoon)]

13 : 96 :: 18 : 131 :: 14 : ?

Correct Answer: (d) 103
Solution:

a: (a x 7 + 5) i.e.
13 : 96 ⇒ 13 : (13 × 7+ 5) = 96
18 : 131 ⇒ 18 : (18 x 7 + 5) = 131
Similarly 14 : ? ⇒ 14 : (14 × 7+ 5) = 103

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. [Group-D 25/08/2022 (Evening)]

35 : 21 :: 20  :12 :: 40 : ?

Correct Answer: (d) 24
Solution:

35 → 7×5 , 21→ 7 x 3
20 → 4 × 5 ,12 → 4×3
Similarly,
40 → 8 × 5 , 24 → 8 × 3

17. 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 25/08/2022 (Evening)]

SEARCH : ESRAHC :: DESIGN : EDISNG :: LAYOUT : ?

Correct Answer: (a) ALOYTU
Solution:

18. Select the set in which the numbers are related in the same way as are the numbers of following sets. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits.) [Group-D 25/08/2022 (Evening)]

(12, 313, 13)
(7 , 50 , 1)

Correct Answer: (d) (9 , 90 , 3)
Solution:

[(First number)² + (Third number)² = Second number] i.e.
(12, 313, 13) ⇒ 12² + 13² = 313
(7, 50, 1) ⇒ 7² + 1² = 50
Similarly, (9, 90, 3) ⇒ 9²+ 3² = 90

19. Select the set in which the numbers are related in the same way as are the numbers of the following sets. [Group-D 26/08/2022 (Morning)]

(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits.)
(13, 84, 29)
(27, 122, 34)

Correct Answer: (c) (25, 90, 20)
Solution:

2 x (First number + Third number) = Second number i.e.
(13, 84, 29) ⇒ 2 x (13 + 29) = 84
(27, 122, 34) ⇒ 2 x (27 + 34) = 122
Similarly, (25, 90, 20)
⇒ 2 x (25 + 20) = 90

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. [Group-D 26/08/2022 (Morning)]

8 : 127 :: 5 : 49 :: 11 : ?

Correct Answer: (d) 241
Solution:

a: [(a)² x 2 − 1]
8 : 127 ⇒ 8 : [(8)² × 2 − 1] = 127
5 : 49 ⇒ 5 : [(5)² x 2 - 1] = 49
Similarly, 11 : ? ⇒ 11 : [(11)² × 2 − 1) = 241