what is the number of integers from 1 to 1000 inclusive that are not divisible by 11 or by 35 - Wikitechy https://www.wikitechy.com/interview-questions/tag/what-is-the-number-of-integers-from-1-to-1000-inclusive-that-are-not-divisible-by-11-or-by-35/ Interview Questions Mon, 06 Sep 2021 10:44:02 +0000 en-US hourly 1 https://wordpress.org/?v=6.9 https://www.wikitechy.com/interview-questions/wp-content/uploads/2025/10/cropped-wikitechy-icon-32x32.png what is the number of integers from 1 to 1000 inclusive that are not divisible by 11 or by 35 - Wikitechy https://www.wikitechy.com/interview-questions/tag/what-is-the-number-of-integers-from-1-to-1000-inclusive-that-are-not-divisible-by-11-or-by-35/ 32 32 The total number of two-digit positive integer lesser than 100, which are not divisible by 2, 3 and 5 is ? https://www.wikitechy.com/interview-questions/numbers/the-total-number-of-two-digit-positive-integer-lesser-than-100-which-are-not-divisible-by-2-3-and-5-is/ https://www.wikitechy.com/interview-questions/numbers/the-total-number-of-two-digit-positive-integer-lesser-than-100-which-are-not-divisible-by-2-3-and-5-is/#respond Tue, 17 Aug 2021 19:24:22 +0000 https://www.wikitechy.com/interview-questions/?p=1908

The total number of two-digit positive integer lesser than 100, which are not divisible by 2, 3 and 5 is ?

A. 23

B. 24

C. 25

D. 26

Answer : B. 24

Explanation:

Numbers less than 100 divisible by 2 are 10, 12, 14, 16,…,98.
Total numbers divisible by 2 are 45
Remaining numbers are 11, 13, 15, 17, 19…99 = 45

Numbers divisible by 3 in the above numbers are 15, 21, 27, 33, 39, 45, 51, 57, 63, 69, 75, 81, 87, 93 and 99.
Total numbers divisible by 3 are = 15
Remaining integers = 45-15 = 30.

Numbers divisible by 5 in the remaining numbers = 25, 35, 55, 65, 85, 95
Total numbers = 6
Remaining 30-6 = 24.

So 24 numbers are not divisible by 2, 3 and 5.

]]> https://www.wikitechy.com/interview-questions/numbers/the-total-number-of-two-digit-positive-integer-lesser-than-100-which-are-not-divisible-by-2-3-and-5-is/feed/ 0