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IPMAT Indore 2025

Number System

>

Divisibility Rules

Medium

Which of the following numbers is divisible by $3^{10} + 2$ ?

3^{20} + 4

3^{30} + 2

3^{20} + 8

3^{30} + 8

✅ Correct Option: 4

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Placing which of the following two digits at the right end of

4530

makes the resultant six digit number divisible by

6, 7

9

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You have been asked to select a positive integer N which is less than 1000, such that it is either a multiple of 4, or a multiple of 6, or an odd multiple of 9. The number of such numbers is

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If the five-digit number abcde is divisible by 6, then which of the following numbers is not necessarily divisible by 6?