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.
Suhi said:
1 decade ago
If 357 is divisor of 17 then directly divide remainder by 17 and what remainder is remains is answer.
Rahul said:
1 decade ago
How to find the factor 17?
AZHAR SAJJAD said:
1 decade ago
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.
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.
Pragya Nagori said:
1 decade ago
357/17=21. So if 357 into a number leaves 39 as a remainder, that means that if you take (21*17) into the number (same as 357), it leaves 39 left over. How many times will 17 alone go into that remaining 39? Twice, since 17*2 = 34. That leaves a remainder of 5.
Ashok sam said:
1 decade ago
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).
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).
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.
Number = 357 + 39 = 396 (dividend=divisor*quotient+remainder).
Now divide number by 17.
= 396/17.
Hence reminder is 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
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
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 ?
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.
39 then
357*y+39=x
21*17*y+17*2+5=x
17(21y+2)+5=x
Then 5 is remainder.
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