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.

Mahesh Patil said:   1 decade ago
Total Three digit numbers = 999-100+1 = 900

so numbers Divisible by 6 = 900 / 6 = 150 (Only Quotient ... don't consider the remainder)

Vivek said:   1 decade ago
Adding the given three deghit it means =150
1+5+0/6=remander is 0

Hence if the adding number is not same in divedent and remander is not 0.

Ashok Kumar said:   1 decade ago
n=[(l-a)/d]+1

n=150


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