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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.) (6, 18, 123) (17, 9, 168)
(18, 5, 100)
(14, 8, 127)
(20, 6, 94)
(21, 7, 147)
(14, 8, 127)
Look for the pattern (First number + Second number) * X +/- constant = Third number; in this case, the sum of the first two numbers multiplied by 6 or 7 yields the target.
Look for the pattern (First number + Second number) * X +/- constant = Third number; in this case, the sum of the first two numbers multiplied by 6 or 7 yields the target.
Analyze the given sets
Set 1: (6, 18, 123) тЖТ (6 + 18) = 24. 24 * 5 = 120. 120 + 3 = 123. Set 2: (17, 9, 168) тЖТ (17 + 9) = 26. 26 * 6 = 156. 156 + 12 = 168. Wait, check alternate pattern: (First * Second) + Constant. (6 * 18) = 108 + 15 = 123. (17 * 9) = 153 + 15 = 168. The logic is (First * Second) + 15 = Third.
Apply logic to options
Testing logic (First * Second) + 15 = Third: A) (18 * 5) + 15 = 90 + 15 = 105 (Not100). B) (14 * 8) + 15 = 112 + 15 = 127. C) (20 * 6) + 15 = 120 + 15 = 135 (Not94). D) (21 * 7) + 15 = 147 + 15 = 162 (Not147).
A: 185+15=105, which does not equal 100. C: 206+15=135, which does not equal 94. D: 21*7+15=162, which does not equal 147.
B is correct because the logic (First * Second) + 15 results in the third number, and 14 * 8 + 15 equals 127.
When number sets do not follow simple addition, test the multiplication of the first two numbers, as it is a common way to reach large third numbers in SSC exams.
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