A number ‘y’ when divided by 225 leaves 33 as the remainder. The same number when divided by 15 leaves ‘z’ as the remainder. The value of z is:
Show answer & explanation
Correct answer: D
Explanation
The Correct answer is Option 4 i.e. 3.
On dividing the number by 225, we have the following terms;
Divisor = 225, Quotient = k, and Remainder = 33
Now, we know
Dividend = Divisor × Quotient + Remainder
⇒ 225k + 33
Now, we know that 225 is divisible by 15.
33 can be divided by 15 to get the remainder
⇒ 33 = 15 × 2 + 3
Hence, the required value of remainder = 3