When a number is divided by 357 the remainder is 39?

Correct Answer:

Description for Correct answer:

\( \Large \frac{Remainder\ of\ number}{17}=\frac{39}{17} \)

\( \Rightarrow \) remainder = 5

Part of solved Number series questions and answers : >> Aptitude >> Number series

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Discussion :: Numbers - General Questions (Q.No.41)

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41.

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
[D].	11

Answer: Option C

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.

Priya said: (Jun 24, 2011)
I don't understand this.

Shivam said: (Aug 3, 2011)
357)x(y 39 then 357y+39=x 2117y+172+5=x 17(21y+2)+5=x Then 5 is remainder.

Pardeep said: (Sep 16, 2011)
How we understand the factors 2117y+17*2+5 ?

Giri said: (Sep 15, 2012)
39/17 gives reminder 5 which is the required answer.

Yugank Garg said: (Dec 23, 2012)
A trick to solve these questions... 1.Add remainder and divisor 39+357= 396=number 2. divide number by second divisor 396/17 =(391+5)/17 Ans. 5 is the remainder

Preetha said: (Apr 10, 2013)
First find the number? Number = 357 + 39 = 396 (dividend=divisor*quotient+remainder). Now divide number by 17. = 396/17. Hence reminder is 5.

Ashok Sam said: (Sep 15, 2013)
On this type of questions you do. Let x be the number Given x/357=39 (remainder). So you will divide the remainder from the next no (17). So the answer is 39/17=5 as a remainder(answer).

Pragya Nagori said: (Aug 6, 2014)
357/17=21. So if 357 into a number leaves 39 as a remainder, that means that if you take (2117) into the number (same as 357), it leaves 39 left over. How many times will 17 alone go into that remaining 39? Twice, since 172 = 34. That leaves a remainder of 5.

AZHAR SAJJAD said: (Sep 10, 2014)
Easy way, suppose the no.is x A/C to ques. on dividing a no by 357 it gives 39 as a remainder, think when it gives remainder as a 39? When x value is 396(i.e. 357+39=396)so x =396. Now if you divide that no(396)by 17 it will gives 5 as remainder.

Rahul said: (Nov 12, 2014)
How to find the factor 17?

Suhi said: (Mar 9, 2015)
If 357 is divisor of 17 then directly divide remainder by 17 and what remainder is remains is answer.

Chandu said: (Mar 10, 2015)
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: (Sep 6, 2015)
(39-17) = 22. (22-17) = 5 answer.

Divya said: (Jan 10, 2016)
@Priyanka Rkashit it is not working for all problems.

Shareef said: (Feb 27, 2016)
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: (Mar 30, 2016)
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: (Apr 27, 2016)
@YUKAN GARG. Thanks for giving the easy method. You are a Genius.

Naimul said: (May 14, 2016)
357 * k + 39 = x. (357 * k + 34) + 5 = x. 17 (21k + 2) + 5 = x. Then the remainder is 5.

TONI RANA said: (May 31, 2016)
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?

Vivek Sanwria said: (Jun 5, 2016)
On dividing a certain number by 342 we get 47 as remainder if the same number is divided by 18 what will be the remainder? Please answer this question.

Rajeshwari said: (Oct 21, 2016)
You can simply divide 39 by 17, then you will get the answer, i.e., remainder 5. :-).

Vjay said: (Nov 11, 2016)
Thanks to you all for giving the solution.

Karthi said: (Dec 19, 2016)
Didn't understanding. Please explain me.

Amrita said: (Jan 12, 2017)
Answer is 11 @Vivek.

Tahreem said: (Jan 20, 2017)
When a number is divided by 100. We get quotient 56 and remainder 37 what is that number? Solve it.

Sarath said: (Jan 28, 2017)
@Tahreem. Answer is 5637.

K Rajesh said: (Feb 10, 2017)
I didn't understand. Can anyone explain me?

Rinka said: (Jul 14, 2017)

Let the given num is x. And quotient is P. Now according to the formula, x= 357P+39 ........(i). Again, when the same number is divided by 17, let then quotient = Q and the remainder = R then, x = 17Q+R ...........(ii). Now, comparing (i) & (ii) we get, 357P+39 = 17Q+R ...........(iii) Let P=1, then, 357+39 = 17Q+R That means, 396 = 17Q+R Now if we divide 396 by 17, we get 396= 17 (23) + 5 ..........(iv) Now comparing, (iii) & (iv), R=5.

So the required number is 5.

Bibhuti said: (Jan 2, 2018)
Please solve this problem in an easy way and explain the answer. On dividing a certain number by 342, we get 47 as a reminder. If the same number is divided by 18, what will be the reminder?

Vaishali said: (Jun 18, 2018)
Bibhuti. It's simple, just take the first given remainder and divide it by the second denominator. i.e, 39/17=5 is the answer. 47/18 =11 gives you the answer.

Tanishk said: (Oct 24, 2018)
I am not getting this. Please, anyone explain clearly to get it.

Reddivari Radha Gayathri said: (Jun 29, 2020)
Formula: dividend=divisorquotient+remainder. Divisor=357, remainder=17. So, 357q+17. Assume q as 1. 357+17=396. 396/17. The remainder is 5.

Ravi Gupta said: (Jul 8, 2020)
How to solve this? Not getting this. Please, anyone, explain clearly.

Ravi Gupta said: (Jul 8, 2020)
FORMULA : Dividend=divisor * quotient + remainder. Here, we ca use; Dividend = divisor + remainder. x = 357 + 39, x = 396. AB 396 DIVIDED by 17. Then the remainder 5.

Twinle said: (Jul 16, 2020)
Why we are assuming quotient =1?

Shruti said: (Jul 24, 2020)
Thank you for this amazing solution @Rinka.

Reshma said: (Sep 14, 2020)
Formula : Dividend = divisor * quotient + remainder. Let dividend be n. n=357q+39 ---> (1) n=17q+r --> (2). Compare (2)with (1) So (1)should be of multiple of 17. n = 17 * 11q + 34 + 5 n = 17(11q + 1) + 5 ---> (3). Compare 3 with (2). And r=5.