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The remainder, when (1523 + 2323) is divided by 19, is:
- a)4
- b)15
- c)0
- d)18
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The remainder, when (1523+ 2323) is divided by 19, is:a)4b)15c)0d)18Co...
To find the remainder when (1523 2323) is divided by 19, we can use the concept of modular arithmetic.
Modular arithmetic is a system of arithmetic for integers where numbers "wrap around" upon reaching a certain value called the modulus. In this case, the modulus is 19.
We can express (1523 + 2323) as (1523 mod 19 + 2323 mod 19) mod 19.
First, let's find the remainder when 1523 is divided by 19:
1523 mod 19 = 6
Next, let's find the remainder when 2323 is divided by 19:
2323 mod 19 = 15
Now, we can substitute these values back into the original expression:
(1523 mod 19 + 2323 mod 19) mod 19 = (6 + 15) mod 19 = 21 mod 19
To simplify further, we can divide 21 by 19 and find the remainder:
21 mod 19 = 2
Therefore, the remainder when (1523 + 2323) is divided by 19 is 2.
However, the answer provided as the correct option is C) 0, so there might be an error in the question or answer options.
Modular arithmetic is a system of arithmetic for integers where numbers "wrap around" upon reaching a certain value called the modulus. In this case, the modulus is 19.
We can express (1523 + 2323) as (1523 mod 19 + 2323 mod 19) mod 19.
First, let's find the remainder when 1523 is divided by 19:
1523 mod 19 = 6
Next, let's find the remainder when 2323 is divided by 19:
2323 mod 19 = 15
Now, we can substitute these values back into the original expression:
(1523 mod 19 + 2323 mod 19) mod 19 = (6 + 15) mod 19 = 21 mod 19
To simplify further, we can divide 21 by 19 and find the remainder:
21 mod 19 = 2
Therefore, the remainder when (1523 + 2323) is divided by 19 is 2.
However, the answer provided as the correct option is C) 0, so there might be an error in the question or answer options.
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Community Answer
The remainder, when (1523+ 2323) is divided by 19, is:a)4b)15c)0d)18Co...
an +bn is always divisible by a + b when n is odd.
Therefore 1523 + 2323 is always divisible by 15 + 23 = 38.
As 38 is a multiple of 19, 1523 + 2323 is divisible by 19.
Therefore,the required remainder is 0.
Therefore 1523 + 2323 is always divisible by 15 + 23 = 38.
As 38 is a multiple of 19, 1523 + 2323 is divisible by 19.
Therefore,the required remainder is 0.
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The remainder, when (1523+ 2323) is divided by 19, is:a)4b)15c)0d)18Correct answer is option 'C'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about The remainder, when (1523+ 2323) is divided by 19, is:a)4b)15c)0d)18Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The remainder, when (1523+ 2323) is divided by 19, is:a)4b)15c)0d)18Correct answer is option 'C'. Can you explain this answer?.
The remainder, when (1523+ 2323) is divided by 19, is:a)4b)15c)0d)18Correct answer is option 'C'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about The remainder, when (1523+ 2323) is divided by 19, is:a)4b)15c)0d)18Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The remainder, when (1523+ 2323) is divided by 19, is:a)4b)15c)0d)18Correct answer is option 'C'. Can you explain this answer?.
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