Question
Download Solution PDFIn the following number-pairs, the second number is obtained by applying certain mathematical operations to the first number. Which numbers should replace X and Y so that the pattern followed by the two numbers on the left side of :: is the same as that on the right side of ::?
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 - Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
X : 54 :: 8 : Y
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe logic followed here is:
Given: X : 54 :: 8 : Y
So, checking each option one by one:
Option 1) X = 10, Y = 39 → 10 : 54 :: 8 : 39
10 × 5 - 1 = 54
50 - 1 = 54
49 ≠ 54 (LHS ≠ RHS)
8 × 5 - 1 = 39
40 - 1 = 39
39 ≠ 39 (LHS ≠ RHS)
Option 2) X = 10, Y = 59 → 10 : 54 :: 8 : 59
10 × 5 - 1 = 54
50 - 1 = 54
49 ≠ 54 (LHS ≠ RHS)
8 × 5 - 1 = 59
40 - 1 = 59
39 ≠ 59 (LHS ≠ RHS)
Option 3) X = 11, Y = 36 → 11 : 54 :: 8 : 36
11 × 5 - 1 = 54
55 - 1 = 54
54 ≠ 54 (LHS ≠ RHS)
8 × 5 - 1 = 36
40 - 1 = 36
39 ≠ 36 (LHS ≠ RHS)
Option 4) X = 11, Y = 39 → 11 : 54 :: 8 : 39
11 × 5 - 1 = 54
55 - 1 = 54
54 = 54 (LHS = RHS)
8 × 5 - 1 = 39
40 - 1 = 39
39 = 39 (LHS = RHS)
Hence, "Option 4" is the correct answer.
Last updated on Jun 30, 2025
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