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Find the remainder when a number is divided by 49. The same number when divided by 147 leaves 53 as remainder.
- a)1
- b)2
- c)3
- d)4
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Find the remainder when a number is divided by 49. The same number whe...
Let the number be N and its quotient be k.
Then the number N can be written in the form of:
N = 147k + 53
Now, we have to find out the what will be the remainder when it is divided by 49.
The number is (147k + 53)
Let’s divide it by 49
(147k + 53)/ 49
147 is divisible by 49 hence, remainder will be 0 whereas, 53 when divided by 49 leaves 1 as remainder.
Therefore, the remainder when the number N is divided by 49 will be (0 + 4) i.e. 4.
Then the number N can be written in the form of:
N = 147k + 53
Now, we have to find out the what will be the remainder when it is divided by 49.
The number is (147k + 53)
Let’s divide it by 49
(147k + 53)/ 49
147 is divisible by 49 hence, remainder will be 0 whereas, 53 when divided by 49 leaves 1 as remainder.
Therefore, the remainder when the number N is divided by 49 will be (0 + 4) i.e. 4.
Most Upvoted Answer
Find the remainder when a number is divided by 49. The same number whe...
Explanation:
Given:
- Let the number be x
- When x is divided by 49, the remainder is R1 = x % 49
- When x is divided by 147, the remainder is R2 = 53
Calculating the Remainder when x is divided by 49:
- As given, R1 = x % 49
- Let's express x in terms of 147 and 53:
x = 147a + 53, where a is an integer
- Substituting this value of x in R1:
R1 = (147a + 53) % 49
R1 = (147a % 49 + 53 % 49) % 49
R1 = (0 + 4) % 49
R1 = 4
Conclusion:
- The remainder when x is divided by 49 is 4 (Option D)
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Find the remainder when a number is divided by 49. The same number when divided by 147 leaves 53 as remainder.a)1b)2c)3d)4Correct answer is option 'D'. Can you explain this answer?
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