Aptitude - Numbers - Discussion

Discussion Forum : Numbers - General Questions (Q.No. 41)
41.
On dividing a number by 357, we get 39 as remainder. On dividing the same number 17, what will be the remainder ?
0
3
5
11
Answer: Option
Explanation:

Let x be the number and y be the quotient. Then,

x = 357 x y + 39

  = (17 x 21 x y) + (17 x 2) + 5

  = 17 x (21y + 2) + 5)

Required remainder = 5.

Discussion:
41 comments Page 4 of 5.

Rahul said:   1 decade ago
How to find the factor 17?

Priya said:   1 decade ago
I don't understand this.

Chandu said:   1 decade ago
Its not working in all conditions.

Try this,

When a No. Divided by 32 it gives reminder the 21, what will be the reminder when the No. is divided by 18?

Priyanka Rkashit said:   1 decade ago
(39-17) = 22.

(22-17) = 5 answer.

Divya said:   10 years ago
@Priyanka Rkashit it is not working for all problems.

Shareef said:   10 years ago
It's not working for all problems.

Apply the formula for this:

When a number is divided by 32 it leaves reminder of 21. What will be the remainder when the number is divided by 18?

Sonu said:   9 years ago
357)x(q
y
---
39

357*39 = y.
13923 = y.

x - y = 39.
x - 13923 = 39.
x = 13962.

Divide 13962 by 17 you will get 5 as remainder.

Shahid said:   9 years ago
@YUKAN GARG.

Thanks for giving the easy method. You are a Genius.

Naimul said:   9 years ago
357 * k + 39 = x.

(357 * k + 34) + 5 = x.

17 (21k + 2) + 5 = x.

Then the remainder is 5.

TONI RANA said:   9 years ago
If I change the question like:

A number when divided by 17 leaves remainder 5 then what remainder would be obtained by dividing the same number by 357?

Can anyone answer me?


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