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Quantitative Aptitude

Remainder Theorem

The integers ...

Question

The integers 34041 and 32506, when divided by a three-digit integer n, leave the same remainder. What is the value of n?

A

289

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B

367

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C

453

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D

307

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Solution

The correct option is D 307
Option D is the correct answer. Check the video for the approach.

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Similar questions

Q. Integer 34041 and 32506 when divided by a three-digit integer n leave the same remainder. What is n?

Q. The integers 34041 and 32506, when divided by a three-digit integer N, leave the same remainder. What is the value of N?

n

is an integer which leaves remainder one when divided by three, then

{(- 1 + \sqrt{3} i)}^{n} + {(- 1 - \sqrt{3} i)}^{n}

Q. N is a positive integer, which when divided by 16, 17 and 18 leaves remainders of 6, 7 and 8 respectively. Find the remainder when

N^{2} + 5 N + 6

is divided by 12.

Q. A certain number 'C' when divided by

N_{1}

it leaves a remainder of 13 and when it is divided by

N_{2}

it leaves a remainder of 1, where

N_{1}

N_{2}

are the positive integers. Then the value of

N_{1} + N_{2} i s, i f \frac{N_{1}}{N_{2}} = \frac{5}{4}

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