Aptitude - Numbers - Discussion

Discussion Forum : Numbers - General Questions (Q.No. 32)
32.
How many 3-digit numbers are completely divisible 6 ?
149
150
151
166
Answer: Option
Explanation:

3-digit number divisible by 6 are: 102, 108, 114,... , 996

This is an A.P. in which a = 102, d = 6 and l = 996

Let the number of terms be n. Then tn = 996.

a + (n - 1)d = 996

102 + (n - 1) x 6 = 996

6 x (n - 1) = 894

(n - 1) = 149

n = 150

Number of terms = 150.

Discussion:
33 comments Page 4 of 4.

Anand said:   4 years ago
Let the highest 3 digit num divided by 6 is 996,
then 996/6= 166.

Let the highest 2 digit num divided by 6 is 96,
then 96/6= 16,
Now 166-16= 150.
(21)

Dhannvanth said:   3 years ago
My idea is;

1+4+9=14.

1+5+0=6.

1+5+1=7.

1+6+6=13.

So, according to me, here 6 only can be purely divisible by 6.
(6)

Tanoy Saha said:   2 years ago
149 is not divisible by 6.
150 is divisible by 6.
151 is not divisible by 6.
166 is not divisible by 6.

So, the right answer is 150.
(8)


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