Common Remainder Three-Digit Divisor
CAT 2000 Slot 1 · Quantitative Ability · Medium · Number Systems
This is a medium Quantitative Ability question from the CAT 2000 Slot 1 paper. It tests Number Systems. The full answer key and a step-by-step explanation are below — try it yourself first, then reveal the solution.
The integers 34041 and 32506, when divided by a three-digit integer , leave the same remainder. What is the value of ?
- A.
289
- B.
367
- C.
453
- D.
307
Answer
D
Explanation
If and leave the same remainder when divided by , then must divide their difference: . . Since is a three-digit prime number, .
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