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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) (13, 91, 27) (19, 133, 39) 4900
(25, 175, 50)
(26, 130, 53)
(20, 140, 41)
(29, 210, 57)
(20, 140, 41)
Observe that the middle number is always 7 times the first number, and the third number is calculated by adding 1 to the first number and then doubling it, then adding 1 (or 2x + 1).
Observe that the middle number is always 7 times the first number, and the third number is calculated by adding 1 to the first number and then doubling it, then adding 1 (or 2x + 1).
Analyze the relationship in the first set (13, 91, 27)
First number = 13. Second number = 13 * 7 = 91. Third number = (13 * 2) + 1 = 27.
Verify the relationship in the second set (19, 133, 39)
First number = 19. Second number = 19 * 7 = 133. Third number = (19 * 2) + 1 = 39.
Apply the pattern to the options
Testing Option C: (20, 140, 41). Middle number = 20 * 7 = 140. Third number = (20 * 2) + 1 = 41. The pattern matches perfectly.
A: 25 * 7 = 175 (correct), but (25 * 2) + 1 = 51 (not 50). B: 26 * 7 = 182 (not 130). D: 29 * 7 = 203 (not 210).
C is correct because the logic follows the pattern: Second number = First number multiplied by 7, and Third number = (First number multiplied by 2) + 1.
In number analogy sets, always check the ratio between numbers first; if one is a multiple of the other, multiplication or division is almost always the core operator.
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