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Select 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 тАУ 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) (23, 60) (13, 30)
(10, 21)
(12, 28)
(11, 26)
(9, 20)
(10, 21)
Look for a linear equation relationship: multiply the first number by 2 and add a value that scales or remains constant to reach the second.
Look for a linear equation relationship: multiply the first number by 2 and add a value that scales or remains constant to reach the second.
Analyze the given sets
Set 1: (23, 60) тЖТ 23 * 2 = 46. To get 60, we add 14. Set 2: (13, 30) тЖТ 13 * 2 = 26. To get 30, we add 4. Since the additive constant changes, look for a relation involving the number itself: 23 * 3 - 9 = 60 and 13 * 3 - 9 = 30. Both sets follow the formula: (First * 3) - 9 = Second.
Verify the correct option
Testing Option A (10, 21): Apply the formula (First * 3) - 9 тЖТ (10 * 3) - 9 = 30 - 9 = 21. This matches the second number in the set (10, 21).
B: (12 * 3) - 9 = 27, not 28. C: (11 * 3) - 9 = 24, not 26. D: (9 * 3) - 9 = 18, not 20.
A is correct because the pattern (First * 3) - 9 = Second holds true for both given sets (23, 60) and (13, 30), and matches the pair (10, 21).
When simple addition or multiplication fails, test the (x * n) +/- k pattern, where n is typically 2 or 3, as it covers most number analogy questions in SSC exams.
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