Select the set in which the numbers are related in the same way as are the numbers of the following sets. (Operations must be on…

Question

Select the set in which the numbers are related in the same way as are the numbers of the following sets. (Operations must be on the whole numbers, without breaking the digits.)

(16, 7, 112)

(8, 12, 96)

1. A. (13, 7, 96)
2. B. (14, 9, 128)
3. C. (12, 5, 65)
4. D. (15, 8, 120) (Correct answer)

Correct Answer

Option D — (15, 8, 120)

Detailed Solution & Explanation

The correct answer is (15, 8, 120).

Key Points

• The pattern is first × second = third: 16×7 = 112; 8×12 = 96.
• Option 4: 15 × 8 = 120, which matches.

Additional Information

• The simplest relation that reproduces every given set is the right one; here it is a plain product of the first two numbers.
• Check each option by computing rather than estimating — 13 × 7 = 91 and 14 × 9 = 126 are close enough to the offered 96 and 128 to fool a quick glance.
• When a product rule fails narrowly, test product ± a small constant next; that covers most remaining SSC number-set patterns.