A number when divided by 225
gives a remainder of 32. What
will be the remainder when the
same number is divided by 15?
(a) 4 (b) 2 (c) 3 (d) 1
Answers
Answer:
2
Step-by-step explanation:
as 225 is perfectly divisible by 15
so we will divide the remainder i.e. 32 by 15
we get 2 as remainder so when we divide the number by 15 we get 2
Remainder will be b) 2.
Given:
A number when divided by 225 gives a remainder of 32.
To find:
What will be the remainder when the same number is divided by 15?
Solution:
On dividing the given number by 225 ,let K be the Quotient and 32 is remainder
Divisor = 225
Quotient = k
Remainder = 32
We know that Number = Divisor* quotient + remainder
Then number=225k+32
Now, 225 can be divided by 15 and written as 15 * 15 and 32 can be divided by 15 and written as 15*2 + 2
=(15×15K+15×2+2)
Taking 15 as common
=15(15K+2)+2
The given number when divided by 15 gives 15K + 2 as quotient and 2 as reminder.
Hence, the answer is 2.
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