Quantitative Aptitude Ques 985
Question: A number divided by 13 leaves a remainder 1 and if the quotient, thus obtained, is divided by 5, we get remainder 3. What will be the remainder if the number is divided by 65?
Options:
A) 28
B) 16
C) 18
D) 40
Show Answer
Answer:
Correct Answer: D
Solution:
- Let the number be x and quotient be y.
$ \therefore $ $ \frac{x}{13}=y\frac{1}{3} $
$ \Rightarrow $ $ x=13y+1 $
Now, quotient is divided by 5 and remainder is 3
$ \therefore $ $ \frac{y}{5}=1\frac{3}{5} $
$ \Rightarrow $ $ y=5\times 1+3=8 $
$ \therefore $ $ x=13\times 8+1=104+1=105 $ Hence, remainder after dividing by 65 = 40
BETA
