Analogy – Railway reasoning part IV

Total Questions: 50

31. Select the set in which the numbers are related in the same way as are the numbers of the following sets. [Group-D 18/09/2022 (Morning)]

(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits.)
(123, 90, 68)
(61, 28, 6)

Correct Answer: (c) (143, 110,88)
Solution:

(1st number - 2nd number) = 33
and (2nd number - 3rd number) = 22
In (123, 90, 68) ⇒ 123 - 90 = 33
and 90 - 68 = 22
In (61, 28, 6) ⇒ 61 - 28 = 33
and 28 - 6 = 22
Similarly,
(143, 110, 88) ⇒ 143-110 = 33
and 110 - 88 = 22

32. 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 18/09/2022 (Afternoon)]

42 : 7 :: 110 :11 :: 132 : ?

Correct Answer: (d) 12
Solution:

1st term = 2nd term × (2nd term - 1)
= n (n - 1)
In 42 : 7 ⇒ 7 x 6 : 7 ⇒ 42 : 7
In 110 :11 ⇒ 11 x 10 : 11 ⇒ 110 : 11
Similarly, In 132 : ? ⇒ 12 x 11: 12
⇒ 132 : 12

33. Select the option in which the numbers are related in the same way as are the numbers of the given sets. [Group-D 18/09/2022 (Afternoon)]

(NOTE: Operations should be performed on the whole numbers without breaking down the numbers into its constituent digits.)
(9,8,15)
(4, 5, 11)

Correct Answer: (d) (17, 13, 22)
Solution:

(1st term + 3rd term) ÷ 3 = 2nd term
In (9, 8, 15) ⇒ (9 +15) ÷ 3 = 24 ÷ 3 = 8
In (4, 5,11) ⇒ (4 + 11) ÷ 3 = 15 ÷ 3 = 5
Similarly,
(17, 13, 22) ⇒ (17+22) ÷ 3 = 39 ÷ 3 = 13

34. 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 18/09/2022 (Evening)]

33 : 55 :: 46 : 68 :: 68 : ?

Correct Answer: (a) 90
Solution:

(1st term + 22) = 2nd term
In 33 : 55 ⇒ 33 +22 = 55
In 46 : 68 ⇒ 46 +22 = 68
Similarly,
In 68 : ? ⇒ 68 + 22 = 90

35. Given below are two letter-cluster pairs in which the second letter-cluster is related to the first letter-cluster following a certain logic. Select the letter-cluster pair from among the options that follow(s) the same logic. [Group-D 19/09/2022 (Morning)]

NZF : FAN
HSE : EHH

Correct Answer: (a) CPN: NKC
Solution:

36. 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. [Group-D 19/09/2022 (Afternoon)]

A3E7S21 : 1C5G19U :: B4111023 :
2D9K21W :: C5HI0L14 : ?

Correct Answer: (d) 3E8J12N
Solution:

Letters are coded as their place value.
A3E7S21 ⇒ 1C5G19U
B4111U23 ⇒ 2D9K21W
Similarly,
C5H10L14 ⇒ 3E8J12N

37. Select the set in which the numbers are related in the same way as are the numbers of the following sets. [Group-D 19/09/2022 (Evening)]

(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits.)
(7, 127, 6)
(8, 129, 5)

Correct Answer: (b) (10, 156, 4)
Solution:

(a, b, c) = (a)² + (c)² + a x c = b
(7, 127, 6) = (7)² + (6)² + 7 x 6 = 127
(8, 129, 5) = (8)² + (5)² + 8 x 5 = 129
Similarly, only option (b) satisfy
(10, 156, 4) = (10²) + (4)² + 10 × 4 = 156

38. In the given letter-cluster pairs, the first letter-cluster is related to the second letter-cluster following a certain Study the given pairs carefully, and from the given options, select the pair that follows the same logic. [Group-D 19/09/2022 (Evening)]

ON : NPMO
IN : HJMO

Correct Answer: (d) TO : SUNP
Solution:

39. DJ 15 is related to GM 20 in a certain way. In the same way, OW 25 is related to RZ 30. To which of the following is RM 35 related following the same logic? [Group-D 20/09/2022 (Afternoon)]

Correct Answer: (d) UP 40
Solution:

40. Select the option that is related to the fifth number in the same way as the fourth number is related to the third number and the second number is related to the first number. [Group-D 20/09/2022 (Afternoon)]

2 : 19 :: 6: 57 :: 44 : ?

Correct Answer: (c) 418
Solution:

1st number x 9 + 1st number ÷ 2
In 2 : 19 ⇒ 2 × 9 × 2/2 = 18 + 1 =19
In 6 : 57 ⇒ 6× 9 + 6/2 = 54 + 3 = 57
Similarly,
In 44: ? ⇒ 44 × 9 + 44/2 = 396 +22 = 418