Puzzling question

A number divided by 713 gives 115 as remainder. IF the same number is divided by 31, what will be the remainder?
Question asked by: Chanakya69

Asked on: 09 Nov 2008

Let Y be the quotient.Now, as the no. was divided by 713, Y is the quotient and 115 is the remainder, so the number should be 713Y+115.

Now if we divide 713 by 31 we get 23 as quotient. So we can write 713*Y+115 as 31*23*Y+115. We can also write 115 as 31*3+22.
Now we can write
(31*23+31*3+22)/31
=> [(31*23*Y)/31]+[(31*3+22)/31]
=> [(31*23*Y)/31]+[(31*3+22)/31]
=> (23*Y)+(3+22)

The answer will be 22.
By: Chanakya69
Replied at: 12 Nov 2008
star

Average rating for this answer is 4 / 5

Rate Answer

Comment or provide your answer to this question
No comments have been added to this question "Puzzling question".

Ask a New Question

Find out more about Maths

Maths Questions and Answers

maths school questions Questions and Answers

Next question: Time & Work

Become a Member! It's Free >>>

Share on Facebook: On Twitter: Twitter Tweet this!

Question Keywords

question puzzling

More Questions:

Single Copies Of A Book Cost Rs.16 Each, But Purchasers Of 20 Or More Books Pay Only Rs.13 Per Book. What Is The Value Of N<20 For Which One Could Buy 20 Books At A Lower Total Cost Than One Could Buy Exactly "n" Books?
How Do You Do Fraction And Division Altogether?
How Many Questions Should I Study For On Exam?
A Solid Rectangular Block Of Copper 5cm By 4cm By 2cm Is Drawn Out To Make A Cylindrical Wire Of Diameter 2mm. Calculate The Length Of Wire
HOW TO WRITE THIS NUMBER ON A ABACUS 26.382