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 3 of 5.

Shivam said:   1 decade ago
357)x(y

39 then
357*y+39=x
21*17*y+17*2+5=x
17(21y+2)+5=x

Then 5 is remainder.

Rajeshwari said:   9 years ago
You can simply divide 39 by 17, then you will get the answer, i.e., remainder 5. :-).

Ravi gupta said:   5 years ago
How to solve this? Not getting this. Please, anyone, explain clearly.
(1)

Shahid said:   9 years ago
@YUKAN GARG.

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

Tanishk said:   7 years ago
I am not getting this. Please, anyone explain clearly to get it.

Abhijeet said:   4 years ago
I am not understanding this, please help me to get it.
(2)

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

Giri said:   1 decade ago
39/17 gives reminder 5 which is the required answer.

Pardeep said:   1 decade ago
How we understand the factors 21*17*y+17*2+5 ?

Saumya said:   4 years ago
I don't understand. Please anyone explain me.
(8)


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