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 ?
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.
Tanishk said:
7 years ago
I am not getting this. Please, anyone explain clearly to get it.
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.
Divisor=357, remainder=17.
So, 357*q+17.
Assume q as 1.
357+17=396.
396/17.
The remainder is 5.
(1)
Ravi gupta said:
5 years ago
How to solve this? Not getting this. Please, anyone, explain clearly.
(1)
Ravi gupta said:
5 years ago
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.
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.
(10)
Twinle said:
5 years ago
Why we are assuming quotient =1?
(3)
Shruti said:
5 years ago
Thank you for this amazing solution @Rinka.
(2)
Reshma said:
5 years ago
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.
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.
(13)
Abhijeet said:
4 years ago
I am not understanding this, please help me to get it.
(2)
Saumya said:
4 years ago
I don't understand. Please anyone explain me.
(8)
Jsr said:
3 years ago
We will first try to relate 357 and 17.
When we divide 357 by 17 reminder is 0.
That means 17 is a multiple of 357,
Hence we divide 39 by 17 reminder 5 will come.
That's the answer 5.
When we divide 357 by 17 reminder is 0.
That means 17 is a multiple of 357,
Hence we divide 39 by 17 reminder 5 will come.
That's the answer 5.
(17)
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