CAT Quantitative Ability Questions | CAT Number System questions
CAT/2003
Question . 107
How many even integers n, where 100 ≤ n ≤ 200, are divisible neither by seven nor by nine?
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Explanatory Answer
Method of solving this CAT Quantitative Ability Question from Number System question
(c) Total even nos. between 100 and 200 (including 100 and 200) = 51
Even nos. divisible by 7 = 7
Even nos. divisible by 9 = 6
There is a common no. divisible both by 7 and 9 = 126
Hence total nos. which are divisible neither
by 7 nor by 9 = 7 + 6 - 1 = 12
∴ Even integers n, (100 ≤ n ≤ 200) are divisible neither by 7 nor by 9 = 51– 12 = 39