Analogy – Railway reasoning part III

Total Questions: 50

21. Select the set in which the given numbers have the same relation as the numbers in the sets given below. [Group-D 26/08/2022 (Afternoon)]

(Note: Operations should be performed on whole numbers, without dividing the number into its constituent digits.)
(3, 8, 1)
(8, 48, 4)

Correct Answer: (a) (8, 55, 3)
Solution:

(1st no. + 3rd no.) x (1st no. - 3rd no.) = 2nd no.
(3, 8, 1) ⇒ (3 + 1) x (3 - 1) = 4 x 2 = 8
(8, 48, 4) ⇒ (8 + 4) x (8 - 4) = 12 x 4 = 48
Similarly,
(8, 55, 3) (8 + 3) x (8 - 3)= 11 x 5 = 55

22. Select the option which 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 (Evening)]

18 : 63 :: 44 : 154 :: 54 : ?

Correct Answer: (b) 189
Solution:

(1st number × 7/2) 2nd number
In (18 : 63) ⇒ 18 × 7/2  = 63
In (44 : 154) ⇒ 44 × 7/2  = 154
Similarly,
In (54 : 189) ⇒ 54 × 7/2  = 189

23. Select the set in which the numbers are related in the same way as are the numbers of the following sets. [Group-D 29/08/2022 (Morning)]

(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits.)
(12, 9, 4)
(25, 25, 5)

Correct Answer: (d) (12, 16, 3)
Solution:

(1st number /3rd number)² = 2nd number
In (12,9,4) → (12/4)²= 9
In (25, 25, 5) → (25/5)² = 25
similarly,
(12, 16, 3) → ( 12/3 )² = 16

24. Select the set in which the numbers are related in the same way as are the numbers of the following sets. [Group-D 29/08/2022 (Evening)]

(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits.)
(7, 150, 23)
(14, 100, 6)

Correct Answer: (a) (15, 140, 13)
Solution:

(first number + third number) x 5 = second number
In (7 : 150 : 23) ⇒ (7 + 23) × 5 = 150
In (14 : 100 : 6) ⇒ (14 + 6) x 5 = 100
Similarly,
In (15 : 140 : 13) ⇒ (15 + 13) x 5 = 140

25. Select the set in which the numbers are related in the same way as are the numbers of the following sets. [Group-D 30/08/2022 (Morning)]

(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits.)
(12, 112, 9)
(6, 28, 4)

Correct Answer: (b) (18,94, 5)
Solution:

(first number x third number) + 4 = second number
(12, 112, 9) ⇒ (12 x 9) + 4 = 112
(6, 28, 4) ⇒ (6 x 4) + 4 = 28
Similarly
(18, 94, 5) ⇒ (18 x 5) + 4 = 94

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 and the fourth number is related to the third number. [Group-D 30/08/2022 (Morning)]

25 : 49 :: 42 : 36 :: 74 : ?

Correct Answer: (d) 121
Solution:

(Sum of digits of First number)² = Second number]²
(25 : 49) ⇒ 25 ⇒ 2 + 5 = 7 ⇒ (7)² = 49
(42 : 36) ⇒ 42 ⇒ 4 + 2 = 6 ⇒(6)² = 36
Similarly,
(74 : 121) 74 ⇒ 7 + 4 =11
⇒ (11)² = 121

27. Select the set in which the numbers are related in the same way as are the numbers of the following sets. [Group-D 30/08/2022 (Afternoon)]

(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits.)
(14, 25, 19)
(12, 16, 16)

Correct Answer: (a) (18, 16, 14)
Solution:

(third number First number)² = Second number
(14, 25, 19) ⇒ (19 - 14)² = 25
(12, 16, 16) ⇒ (16 - 12)² = 16
Similarly, (18, 16, 14) ⇒ (18 - 14)² = 16

28. 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 30/08/2022 (Afternoon)]

FAKE : GZLD :: CALL : DZMK :: PICK : ?

Correct Answer: (d) QHDJ
Solution:

29. GMT 3 is related to IPY 30 in a certain way. In the same way, EXP 5 is related to GAU 130. To which of the following is TXN 4 related following the same logic? [Group-D 01/09/2022 (Morning)]

Correct Answer: (b) VAS 68
Solution:

30. 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 01/09/2022 (Morning)]

5 : 13 :: 9 : 69 :: 13 : ?

Correct Answer: (a) 157
Solution:

a: (a² - 12) i.e.
5: (5² - 12) = 13
9: (9²-12) = 69
Similarly, 13 : (132 - 12) = 157