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On dividing a number by 357, we get 39 as remainder. On dividing the same number by 17, what will be the remainder? (a) 0 (b) 3 (c) 5 (d) 11 ans-(c).how?
Most Upvoted Answer
On dividing a number by 357, we get 39 as remainder. On dividing the s...
Explanation:
Let the number be x. According to the given problem,
x = 357p + 39 (where p is any integer)
We need to find the remainder when x is divided by 17.
Method:
We can use a simple trick to solve this problem. We know that
357 = 17 × 21
Therefore, we can write
x = (17 × 21 × p) + 39
Now, let's focus only on the remainder part. We have
39 = 2 × 17 + 5
Therefore,
x = (17 × 21 × p) + 2 × 17 + 5
x = 17 × (21p + 2) + 5
Thus, the remainder when x is divided by 17 is 5.
Therefore, the correct option is (c) 5.
Let the number be x. According to the given problem,
x = 357p + 39 (where p is any integer)
We need to find the remainder when x is divided by 17.
Method:
We can use a simple trick to solve this problem. We know that
357 = 17 × 21
Therefore, we can write
x = (17 × 21 × p) + 39
Now, let's focus only on the remainder part. We have
39 = 2 × 17 + 5
Therefore,
x = (17 × 21 × p) + 2 × 17 + 5
x = 17 × (21p + 2) + 5
Thus, the remainder when x is divided by 17 is 5.
Therefore, the correct option is (c) 5.
Community Answer
On dividing a number by 357, we get 39 as remainder. On dividing the s...
357/17 = 21
this means if the no. is divisible by 357 then its surely divisible by 17 but 17 will not give 39 as remainder it will further divide 39 , thus , 39/17 gives 5 as remainder.
this means if the no. is divisible by 357 then its surely divisible by 17 but 17 will not give 39 as remainder it will further divide 39 , thus , 39/17 gives 5 as remainder.
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On dividing a number by 357, we get 39 as remainder. On dividing the same number by 17, what will be the remainder? (a) 0 (b) 3 (c) 5 (d) 11 ans-(c).how?
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On dividing a number by 357, we get 39 as remainder. On dividing the same number by 17, what will be the remainder? (a) 0 (b) 3 (c) 5 (d) 11 ans-(c).how? for CLAT 2025 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about On dividing a number by 357, we get 39 as remainder. On dividing the same number by 17, what will be the remainder? (a) 0 (b) 3 (c) 5 (d) 11 ans-(c).how? covers all topics & solutions for CLAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for On dividing a number by 357, we get 39 as remainder. On dividing the same number by 17, what will be the remainder? (a) 0 (b) 3 (c) 5 (d) 11 ans-(c).how?.
On dividing a number by 357, we get 39 as remainder. On dividing the same number by 17, what will be the remainder? (a) 0 (b) 3 (c) 5 (d) 11 ans-(c).how? for CLAT 2025 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about On dividing a number by 357, we get 39 as remainder. On dividing the same number by 17, what will be the remainder? (a) 0 (b) 3 (c) 5 (d) 11 ans-(c).how? covers all topics & solutions for CLAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for On dividing a number by 357, we get 39 as remainder. On dividing the same number by 17, what will be the remainder? (a) 0 (b) 3 (c) 5 (d) 11 ans-(c).how?.
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