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# The number of numbers between 74 and 25556 divisible by 5 isa)5090b)5097c)5095d)none of theseCorrect answer is option 'B'. Can you explain this answer? Related Test: Test: Arithmetic And Geometric Progressions - 1

## CA Foundation Question Khushi Sahu Oct 12, 2020  Mayank Sharma Nov 23, 2018
Let a be the first term and d be the common difference.
First term a = 75.
Common difference = 5
Last term an = 25555.
We know that number of terms of an AP an = a + (n - 1) * d
25555 = 75 + (n - 1) * 5
25555 = 75 + 5n - 5
25555 = 70 + 5n
25485 = 5n
n = 5097.
Therefore there are 5097 numbers between 74 and 25556 divisible by 5. Ann Maria Sunil Sep 22, 2020
Answer =5097
A=75,last term=25555,d=5
We know that
25555=75+(n-1)5
(n-1)5=25555-75
n-1=25480÷5
n-1=5096
n=5097

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