Divisibility Rule of 8
CAT 1998 Slot 1 · Quantitative Ability · Easy · Number System
This is an easy Quantitative Ability question from the CAT 1998 Slot 1 paper. It tests Number System. The full answer key and a step-by-step explanation are below — try it yourself first, then reveal the solution.
A number is formed by writing first 54 natural numbers in front of each other as . Find the remainder when this number is divided by 8.
- A.
1
- B.
7
- C.
2
- D.
0
Answer
C
Explanation
A number is divisible by 8 if its last three digits form a number divisible by 8. The last three digits of this sequence are . with a remainder of 2.
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