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Divisibility Rules - Past Year Questions

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Q1:

Which of the following numbers is divisible by 310+23^{10} + 2?
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Q2:

If a three-digit number is chosen at random, what is the probability that it is divisible neither by 3 nor by 4?
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Q3:

If the five-digit number abcde is divisible by 6, then which of the following numbers is not necessarily divisible by 6?
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Q4:

The number of four-digit integers which are greater than 1000 and divisible by both 2 and 3, but not by 5, is
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Q5:

Placing which of the following two digits at the right end of 45304530 makes the resultant six digit number divisible by 6,76, 7 and 99:
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Q6:

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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Q7:

2122+462+842+464+21302^{122} + 4^{62} + 8^{42} + 4^{64} + 2^{130} is divisible by which one of the following integers?
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Q8:

If the seven digit number 94a29b694 a 29 b 6 is divisible by 72 , then what is the value of (2a+3b)(2 a+3 b) for a≠ba \neq b ?
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Q9:

If the eight-digit number 5a32465b5a32465b is divisible by 8888, then 2a+5b=2a+ 5b =
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Q10:

If k2 - 1 is divisible by 8, then K is:

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Divisibility Rules - Past Year Questions (Free PDF Download)

Practice with our comprehensive collection of Divisibility Rules Past Year Questions (PYQs of IPMAT Indore, IPMAT Rohtak & JIPMAT) with detailed solutions. These questions are carefully curated from previous year papers to help you understand the exam pattern and improve your preparation.

Our free resources include handwritten solutions for all questions, making it easier to understand the concepts and approach. Use these PYQs to assess your preparation level and identify areas that need more focus. No login required. Compilation of IPMAT Indore, IPMAT Rohtak & JIPMAT Questions!