How many numbers between 1000 and 5000 are exactly divisible by 225 ?

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Question

How many numbers between 1000 and 5000 are exactly divisible by 225 ?

Options:

A . 16

B . 18

C . 19

D . 12

Answer: Option B
Answer: (b)
First number (a) = 1125, Last number (an) = 4950,
Divisible by (d) = 225, No. of terms (n) = ?
No. of term formula, an= a+(n-1)d
Then, 4950= 1125 + (n - 1) 225
3825= 225n - 225
4050= 225n
n = 4050/225 = 18
Therefore, 18 numbers between 1000 and 5000 are exactly divisible by 225.

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