how many positive integers less than or equal to 100 are divisible by none of 2 3 and 5 - Wikitechy https://www.wikitechy.com/interview-questions/tag/how-many-positive-integers-less-than-or-equal-to-100-are-divisible-by-none-of-2-3-and-5/ Interview Questions Mon, 20 Sep 2021 11:02:05 +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 how many positive integers less than or equal to 100 are divisible by none of 2 3 and 5 - Wikitechy https://www.wikitechy.com/interview-questions/tag/how-many-positive-integers-less-than-or-equal-to-100-are-divisible-by-none-of-2-3-and-5/ 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 When the integer n is divided by 8, the remainder is 3. What is the remainder if 6n is divided by 8 ? https://www.wikitechy.com/interview-questions/numbers/when-the-integer-n-is-divided-by-8-the-remainder-is-3-what-is-the-remainder-if-6n-is-divided-by-8/ https://www.wikitechy.com/interview-questions/numbers/when-the-integer-n-is-divided-by-8-the-remainder-is-3-what-is-the-remainder-if-6n-is-divided-by-8/#respond Tue, 17 Aug 2021 18:59:23 +0000 https://www.wikitechy.com/interview-questions/?p=1881

When the integer n is divided by 8, the remainder is 3. What is the remainder if 6n is divided by 8 ?

A. 0

B. 2

C. 1

D. 3

Answer : B. 2

Explanation:

When n is divided by 8, the remainder is 3 may be written as
n = 8 k + 3
Multiply all terms by 6
6 n = 6(8 k + 3) = 8(6k) + 18
Write 18 as 16 + 2 since 16 = 8 * 2.
= 8(6k) + 16 + 2
Factor 8 out.
= 8(6k + 2) + 2
The above indicates that if 6n is divided by 8, the remainder is 2. The answer is B.

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