Question
Download Solution PDFSelect the set in which the numbers are related in the same way as are the numbers of the following set.
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their 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.)
(6, 22, 14)
(8, 30, 19)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe logic followed here is:
Logic: (3rd number × 2) - 1st number = 2nd number.
(6, 22, 14)
→ 14 × 2 - 6 = 22.
(8, 30, 19)
→ 19 × 2 - 8 = 30.
Similarly, for (4, 18, 11)
→ 11 × 2 - 4 = 18.
Hence, the correct answer is "Option 2".
Alternate Method
Logic : 3rd number - (1st number ÷ 2) = 2nd number ÷ 2
Given :
- (6, 22, 14)
14 - 6 ÷ 2 = 22 ÷ 2
14 - 3 = 11
11 = 11 (LHS = RHS)
- (8, 30, 19)
19 - 8 ÷ 2 = 30 ÷ 2
19 - 4 = 15
15 = 15 (LHS = RHS)
So,
- Option - (1) : (12, 46, 27)
27 - 12 ÷ 2 = 46 ÷ 2
27 - 6 = 23
21 ≠ 23 (LHS ≠ RHS)
- Option - (2) : (4, 18, 11)
11 - 4 ÷ 2 = 18 ÷ 2
11 - 2 = 9
9 = 9 (LHS = RHS)
- Option - (3) : (7, 26, 17)
17 - 7 ÷ 2 = 26 ÷ 2
17 - 3.5 = 13
13.5 ≠ 13 (LHS ≠ RHS)
- Option - (4) : (9, 34, 22)
22 - 9 ÷ 2 = 34 ÷ 2
22 - 4.5 = 17
17.5 ≠ 17 (LHS ≠ RHS)
Hence, "Option - (2)" is the correct answer.
Last updated on Jun 13, 2025
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