Question 18

The number of integers between 300 and 1100 which are divisible by either 7 or 13 but not both is

Solution

Multiples of 7 are {301,308 ................................1099} n=115

Multiples of 13 are {312,323,.................................1092} n = 61

Multiples of 91 are {364,455.................................1092} n= 9

Number of integers which are divisible by either 7 or 13 but not both is 115+61-2*9

=158

Hence B is the correct answer.

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