Aptitude - Numbers - Discussion

Discussion Forum : Numbers - General Questions (Q.No. 33)
33.
How many natural numbers are there between 23 and 100 which are exactly divisible by 6 ?
8
11
12
13
None of these
Answer: Option
Explanation:

Required numbers are 24, 30, 36, 42, ..., 96

This is an A.P. in which a = 24, d = 6 and l = 96

Let the number of terms in it be n.

Then tn = 96    a + (n - 1)d = 96

24 + (n - 1) x 6 = 96

(n - 1) x 6 = 72

(n - 1) = 12

n = 13

Required number of numbers = 13.

Discussion:
16 comments Page 2 of 2.

Avinash said:   1 decade ago
24+(n-1)6 = 96.

= n-1 = 12.

= n = 13.

SHIV said:   1 decade ago
Any other method please.

Ramskittu said:   1 decade ago
Max number which or completely divisible by 6 below 100 is 96.

So 96/6 = 16.

Remove before divisible numbers of 23. i.e. 3.

So finally 16-3 = 13.

Rehana said:   9 years ago
For example,

Number b/w 15 to 180 divided by 5 are,

180-15+1 = 166.

166/5 = 33.xxx.

Then 33 is the right answer?

ABDUL HASIB LASKAR said:   8 years ago
Thanks for explaining this.

Crr said:   1 year ago
Thanks for the explanation.


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