Question
Download Solution PDFSelect the set in which the numbers are related in the same way as are the numbers of the following sets.
(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)
(20, 6, 4)
(24, 7, 5)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFLogic : First number = Square of second number - Square of third number
Given :
-
(20, 6, 4)
20 = \((6)^2 - (4)^2\)
20 = 36 - 16
20 = 20 (LHS = RHS)
And,
- (24, 7, 5)
24 = \((7)^2 - (5)^2\)
24 = 49 - 25
24 = 24 (LHS = RHS)
So,
- Option - (1) : (65, 9, 4)
65 = \((9)^2 - (4)^2\)
65 = 81 - 16
65 = 65 (LHS = RHS)
- Option - (2) : (22, 5, 2)
22 = \((5)^2 - (2)^2\)
22 = 25 - 4
22 ≠ 21 (LHS ≠ RHS)
- Option - (3) : (40, 8, 5)
40 = \((8)^2 - (5)^2\)
40 = 64 - 25
20 ≠ 39 (LHS ≠ RHS)
- Option - (4) : (42, 7, 3)
42 = \((7)^2 - (3)^2\)
42 = 49 - 9
42 ≠ 40 (LHS ≠ RHS)
Hence, "Option - (1)" is the correct answer.
Last updated on Jul 17, 2025
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