Problems on Numbers - Quantitative Aptitude (MCQ) questions for Q. 743

Q.   How many numbers between 100 and 600 are divisible by 2, 3, and 7 together?
- Published on 06 Jul 15

a. 11
b. 12
c. 14
d. cannot be determined

ANSWER: 12
 
As the division is by 2, 3, 7 together, the numbers are to be divisible by: 2*3*7 = 42
The limits are 100 and 600
The first number divisible is 42*3 = 126
To find out the last number divisible by 42 within 600:
600/42 = 14.28
Hence, 42*14 = 588 is the last number divisible by 42 within 600
Hence, total numbers divisible by 2, 3, 7 together are (14 – 2) = 12

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