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Aptitude · Q150

Number System

Competitive Exams · Aptitude · question 150

Q150

On dividing a number by 357, we get 39 as remainder. On dividing the same number 17, what will be the remainder ?

A.
0
B.
3
C.
5
Answer
D.
11
E.
None of these

Answer: Option C

Solution

Answer: Option C
Solution:
Let x be the number and y be the quotient. Then,
x = 357 × y + 39
   = (17 × 21 × y) + (17 × 2) + 5
   = 17 × (21y + 2) + 5
∴ Required remainder = 5