Find the number of 3 digit numbers which are exactly divisible by 4 ........

Quantitative Aptitude ( CCS) Arithmetic progression

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Find the number of 3 digit numbers which are exactly divisible by 4.

222

220

198

225

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Explanation:

The three digit numbers are 100, 101, 102,...,999
The 1st three digit number that is exactly divisible by 4 is 100
and the last three digit number that is exactly divisible by 4 is 996.
Then the three digit numbers that are divisible by 4 are 100,104,...,996.
This is an A.P where a = 100, d = 4 and t(n) = 996
Then t(n) = a + (n-1)d
996 = 100 +(n-1)4
249 = 25 + n - 1
n = 225.