Divisibility Rules for 8 and 9
CAT 1996 Slot 1 · Quantitative Ability · Medium · QA
This is a medium Quantitative Ability question from the CAT 1996 Slot 1 paper. It tests QA. The full answer key and a step-by-step explanation are below — try it yourself first, then reveal the solution.
If a number is to be divisible by 8 and 9, the respective values of and will be:
- A.
7 and 8
- B.
8 and 0
- C.
5 and 8
- D.
None of these
Answer
B
Explanation
Sum of digits except . Next multiples of 9 are 63, 72. So or . For divisibility by 8, must be divisible by 8, so or . If , . If , . Thus is valid.
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