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If R and S are different integers both divisible by 5, then which of the following is not necessarily true?
- a)R - S is divisible by 5
- b)R + S is divisible by 10
- c)R x S is divisible by 25
- d)R2 + S2 is divisible by 5
Correct answer is 'B'. Can you explain this answer?
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Verified Answer
If R and S are different integers both divisible by 5, then which of t...
For example take two integers.
i.e 10,5
r - s = 10 - 5 = 5 which is divisible by 5
r (s) = 10 x 5 = 50 which is divisible by 25
r2 + s2 = 100 + 25 = 125 which is divisible by 5
r + s = 10 + 5 = 15 which is not divisible by 10
i.e 10,5
r - s = 10 - 5 = 5 which is divisible by 5
r (s) = 10 x 5 = 50 which is divisible by 25
r2 + s2 = 100 + 25 = 125 which is divisible by 5
r + s = 10 + 5 = 15 which is not divisible by 10
Most Upvoted Answer
If R and S are different integers both divisible by 5, then which of t...
Explanation:
Given that both R and S are different integers divisible by 5.
a) R - S is divisible by 5:
This is necessarily true because when we subtract two numbers that are divisible by 5, the result is also divisible by 5.
b) R x S is divisible by 10:
This is not necessarily true because one of the numbers could be 5 and the other could be 10, both of which are divisible by 5 but their product is not necessarily divisible by 10.
c) R x S is divisible by 25:
This is necessarily true because when we multiply two numbers that are divisible by 5, the result is also divisible by 25.
d) R^2 + S^2 is divisible by 5:
This is necessarily true because when we add two numbers that are divisible by 5, the result is also divisible by 5.
Therefore, the answer is (b) R x S is divisible by 10, which is not necessarily true.
Given that both R and S are different integers divisible by 5.
a) R - S is divisible by 5:
This is necessarily true because when we subtract two numbers that are divisible by 5, the result is also divisible by 5.
b) R x S is divisible by 10:
This is not necessarily true because one of the numbers could be 5 and the other could be 10, both of which are divisible by 5 but their product is not necessarily divisible by 10.
c) R x S is divisible by 25:
This is necessarily true because when we multiply two numbers that are divisible by 5, the result is also divisible by 25.
d) R^2 + S^2 is divisible by 5:
This is necessarily true because when we add two numbers that are divisible by 5, the result is also divisible by 5.
Therefore, the answer is (b) R x S is divisible by 10, which is not necessarily true.
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Community Answer
If R and S are different integers both divisible by 5, then which of t...
R & S both divisible by 5
Let R=5X & S=5Y
R-S=5(X-Y) Which is divisible by 5
i. e option A is true
R+S=5(X+Y)
here 10 is divisible, when X+Y is divisible by 2
i. e option B is not true
R×S =25XY Which is divisible by 25
i. e option C is true
R^2+S^2=25(X^2+Y^2) which is divisible by 5
i. e option D is true
i. e correct answer is option B
Let R=5X & S=5Y
R-S=5(X-Y) Which is divisible by 5
i. e option A is true
R+S=5(X+Y)
here 10 is divisible, when X+Y is divisible by 2
i. e option B is not true
R×S =25XY Which is divisible by 25
i. e option C is true
R^2+S^2=25(X^2+Y^2) which is divisible by 5
i. e option D is true
i. e correct answer is option B
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If R and S are different integers both divisible by 5, then which of the following is not necessarily true?a)R - S is divisible by 5b)R + S is divisible by 10c)R x S is divisible by 25d)R2 + S2 is divisible by 5Correct answer is 'B'. Can you explain this answer?
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If R and S are different integers both divisible by 5, then which of the following is not necessarily true?a)R - S is divisible by 5b)R + S is divisible by 10c)R x S is divisible by 25d)R2 + S2 is divisible by 5Correct answer is 'B'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If R and S are different integers both divisible by 5, then which of the following is not necessarily true?a)R - S is divisible by 5b)R + S is divisible by 10c)R x S is divisible by 25d)R2 + S2 is divisible by 5Correct answer is 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If R and S are different integers both divisible by 5, then which of the following is not necessarily true?a)R - S is divisible by 5b)R + S is divisible by 10c)R x S is divisible by 25d)R2 + S2 is divisible by 5Correct answer is 'B'. Can you explain this answer?.
If R and S are different integers both divisible by 5, then which of the following is not necessarily true?a)R - S is divisible by 5b)R + S is divisible by 10c)R x S is divisible by 25d)R2 + S2 is divisible by 5Correct answer is 'B'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If R and S are different integers both divisible by 5, then which of the following is not necessarily true?a)R - S is divisible by 5b)R + S is divisible by 10c)R x S is divisible by 25d)R2 + S2 is divisible by 5Correct answer is 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If R and S are different integers both divisible by 5, then which of the following is not necessarily true?a)R - S is divisible by 5b)R + S is divisible by 10c)R x S is divisible by 25d)R2 + S2 is divisible by 5Correct answer is 'B'. Can you explain this answer?.
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If R and S are different integers both divisible by 5, then which of the following is not necessarily true?a)R - S is divisible by 5b)R + S is divisible by 10c)R x S is divisible by 25d)R2 + S2 is divisible by 5Correct answer is 'B'. Can you explain this answer?, a detailed solution for If R and S are different integers both divisible by 5, then which of the following is not necessarily true?a)R - S is divisible by 5b)R + S is divisible by 10c)R x S is divisible by 25d)R2 + S2 is divisible by 5Correct answer is 'B'. Can you explain this answer? has been provided alongside types of If R and S are different integers both divisible by 5, then which of the following is not necessarily true?a)R - S is divisible by 5b)R + S is divisible by 10c)R x S is divisible by 25d)R2 + S2 is divisible by 5Correct answer is 'B'. Can you explain this answer? theory, EduRev gives you an
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