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You are here: Home » CAT Questions » Number Theory » Factorials

Number Systems - Quant/Math - CAT 2007

Question 4 the day : October 20, 2003

The question for the day is from the topic of Number Systems and is about divisibility.

Question
Find the greatest number of five digits, which is exactly divisible by 7, 10, 15, 21 and 28.

(1) 99840
(2) 99900
(3) 99960
(4) 99990

Correct Choice is (3) and the correct answer is 99960

Explanatory Answers

The number should be exactly divisible by 15 (3, 5), 21 (3, 7), 28 (4, 7).
Hence, it is enough to check the divisibility for 3, 4, 5 and 7.

99960 is the only number which satisfies the given condition.


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