JEE Previous Year Question

The number of 3-digit numbers, that are divisible by either 2 or 3 but not divisible by 7 is _______

Topic: JEE PYQ

Answer: 514. Full step-by-step solution below.

Correct answer: 514

Solution

(514)
Solution
Divisible by 2
Divisible 3300
Divisible by 7 128
Divisible by 2 & 7 64
Divisible by 3 & 7 43
Divisible by 2 & 3 150
Divisible by 2, 3, & 7 21
Total numbers= 450+300-150-64-43+21=514

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