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 2 of 5.

Yugank Garg said:   1 decade ago
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

Vaishali said:   7 years ago
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.

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?

Vivek Sanwria said:   9 years ago
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.

Preetha said:   1 decade ago
First find the number?

Number = 357 + 39 = 396 (dividend=divisor*quotient+remainder).

Now divide number by 17.

= 396/17.

Hence reminder is 5.

Reddivari radha gayathri said:   5 years ago
Formula: dividend=divisor*quotient+remainder.

Divisor=357, remainder=17.

So, 357*q+17.
Assume q as 1.
357+17=396.
396/17.
The remainder is 5.
(1)

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.

Suhi said:   1 decade ago
If 357 is divisor of 17 then directly divide remainder by 17 and what remainder is remains is answer.

Tahreem said:   9 years ago
When a number is divided by 100. We get quotient 56 and remainder 37 what is that number?

Solve it.

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

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

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

Then the remainder is 5.


Post your comments here:

Your comments will be displayed after verification.