Analogy – Railway reasoning part IV

Total Questions: 50

21. Select the set in which the numbers are related in the same way as are the numbers of the following sets. [Group-D 16/09/2022 (Morning)]

(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits.)
(76, 171, 95)
(28, 63, 35)

Correct Answer: (a) (52, 117, 65)
Solution:

1st term + 3rd term= 2nd term
In (76, 171, 95) ⇒ 76+ 95 = 171
In (28, 63, 35) ⇒ 28+ 35 = 63
Similarly,
In (52,117,65) ⇒ 52 + 65 = 117

22. select the option that is related to the fifth number in the same way as the second number is related to the first numb and the fourth number is related to the third number. [Group-D 16/09/2022 (Morning)]

18 : 36 :: 42 : 51 :: 25 : ?

Correct Answer: (a) 43
Solution:

sum of the digits of the first number
= sum of the digits of the second number
In 18:36 ⇒ (1 + 8) = (3+6)
In 42:51 ⇒ (4+2) = (5+1)
Similarly,
In 25 : ? ⇒ (2 + 5) = (4+3)
So, ?= 43

23. 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 16/09/2022 (Morning)]

MCD : PZG
LKG : OHJ

Correct Answer: (b) TJQ: WGT
Solution:

In MCD : PZG ⇒ M + 3 = P, C - 3 = Z,
D + 3 = G
In, LKG : OHJ ⇒ L + 3 = 0, K - 3 = H,
G + 3 = J,
Similarly,
In TJQ : WGT ⇒ T + 3 = W, J - 3 = G,
Q + 3 = T

24. Select the option that is related to the fifth number in the same way as the second number is related to the first number, the fourth number is related to the third number. [Group-D 16/09/2022 (Afternoon)]

15 : 2 :: 255 : 4 :: 624 : ?

Correct Answer: (d) 5
Solution:

first number = (2nd number)⁴ - 1
In 15 : 2 ⇒ 2⁴ - 1 = 15
In 255 : 4 ⇒ 4⁴ - 1 = 255
Similarly,
In 624 : ? ⇒ 5⁴ - 1 = 624

25. Select the option that is related to the seventh number in the same way as the second number is related to the first number, the fourth number is related to the third number and the sixth number is related to the fifth number. [Group-D 16/09/2022 (Evening)]

3 : 8 :: 7 : 16 : 4 : 10 : 8 : ?

Correct Answer: (a) 18
Solution:

(1st term x 2 + 2) = 2nd term
In 3:8 ⇒ 3 × 2 + 2 = 8
In 7:16 ⇒7 x 2 + 2 = 16
In 4:10 ⇒ 4 x 2 + 2 =10
Similarly,
8 : ? 8 × 2 + 2 = 18

26. Select the option that is related to the fifth number in the same way as the second number is related to the first number, the fourth number is related to the third number. [Group-D 17/09/2022 (Morning)]

28 : 2 :: 126 : 4 :: 65 : ?

Correct Answer: (d) 3
Solution:

28 :2 = (2 + 1)³ + 1 = 28
126 : 4 = (4 + 1)³ + 1 = 126
65 : ? = (? + 1)³ + 1 = 65
So, ? = 3

27. 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 , select the pair that follows the same logic. [Group-D 17/09/2022 (Morning)]

TSRA : ZIHG
OLEV : EVOL

Correct Answer: (b) ARNI : RMIZ
Solution:

28. Select the option that is related to the seventh number in the same way as the second number is related to the first number, the fourth number is related to the third number and the sixth number is related to the fifth number. [Group-D 17/09/2022 (Afternoon)]

8 : 2 :: 16 : 6 :: 18 : 7 :: 28 : ?

Correct Answer: (a) 12
Solution:

(1st number - 4) ÷ 2 = 2nd number
(8 - 4) ÷ 2 = 2
(16 - 4) ÷ 2 = 6
(18 - 4) ÷ 2 = 7
Similarly,
(28 - 4) ÷ 2 = 12

29. Select the set in which the mumbers are related in the same way as are the numbers of the following sets. [Group-D 17/09/2022 (Evening)]

(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits.)
(11, 202, 9)
(13,233, 8)

Correct Answer: (b) (15,274,7)
Solution:

(1st term)² + (3rd term)²
= 2nd term
(11, 202, 9) = 11²+9² = 202
(13, 233, 8) = 13² +8² = 233
Similarly, in option (b),
(15, 274, 7) = 15² + 7² = 274

30. Select the set in which the numbers are related in the same way as are the numbers of the following sets. [Group-D 17/09/2022 (Evening)]

(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits.)
(12, 8, 90)
(8, 8, 58)

Correct Answer: (a) (13, 7, 85)
Solution:

(1st trem x 2nd term) - 6
= 3rd term
(12, 8, 90) = (12 x 8) - 6 = 90
(8, 8, 58) = (8 × 8) - 6 = 58
Similarly, in option (a),
(13, 7, 85) = (13 × 7) - 6 = 85