Ramu had to select a list of numbers between 1 and 1000 including both which are divisible by both 2...........

Quantitative Aptitude (CPO) Number System

Ramu had to select a list of numbers between 1 and 1000 (including both), which are divisible by both 2 and 7. How many such

numbers are there?

This questions was previously asked in

SSC CPO 11th Nov 2022 Shift 1

142

642

- To find numbers divisible by both 2 and 7, we need numbers divisible by their least common multiple (LCM), which is 14.

- Consider the range from 1 to 1000.

- Find multiples of 14 in this range.

- Start at 14 (14 x 1) and end at 994 (14 x 71).

- Count of multiples is calculated as: \(\frac{1000}{14} = 71.428\).

- We consider only integer results, thus 71 is the count of multiples.

- Correct Option: 2, 71.

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