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If 3<x<6 and 8<y<12, then which of the following statements is correct?
- a)Largest integer value of x+y is 17 when both x and y are integers.
- b)Largest integer value of x+y is 16 when both x and y are non-integers.
- c)Either the value of x or the value of y should be given for calculating the largest integer value of x+y.
- d)None of the above.
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
If 3<x<6 and 8<y<12, then which of the following statement...
Given that, 3<x<6 ………. І
and 8<y<12 ……. ІІ
So on adding І and ІІ, we get,
11<x+y<18 Now there may be two cases possible.
Case 1: When x and y both are integers, then the largest integer value of x+y is 5+11 = 16 (when x=5 and y=11).
Case 2: When x and y need not necessarily be integers (i.e. x and y individually may or may not be integers).
Let if x = 5.9 and y = 11.1 OR if x = 5.8 and y = 11.2 etc.
In this case the largest integer value of x + y is 17.
Individual value of x or y need not be given for the calculation of the largest integer value of x + y. However, we must know their nature (integer/non-integer).
and 8<y<12 ……. ІІ
So on adding І and ІІ, we get,
11<x+y<18 Now there may be two cases possible.
Case 1: When x and y both are integers, then the largest integer value of x+y is 5+11 = 16 (when x=5 and y=11).
Case 2: When x and y need not necessarily be integers (i.e. x and y individually may or may not be integers).
Let if x = 5.9 and y = 11.1 OR if x = 5.8 and y = 11.2 etc.
In this case the largest integer value of x + y is 17.
Individual value of x or y need not be given for the calculation of the largest integer value of x + y. However, we must know their nature (integer/non-integer).
Most Upvoted Answer
If 3<x<6 and 8<y<12, then which of the following statement...
When both x and y are integers then the largest integer value would be 16 . x would be 5 and y would be 11 . Now when both x and y are non integers then the largest integer value would be 17. now since we do not need the values of the variable in question to calculate the largest integer value hence the option D.
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If 3<x<6 and 8<y<12, then which of the following statements is correct?a)Largest integer value of x+y is 17 when both x and y are integers.b)Largest integer value of x+y is 16 when both x and y are non-integers.c)Either the value of x or the value of y should be given for calculating the largest integer value of x+y.d)None of the above.Correct answer is option 'D'. Can you explain this answer?
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If 3<x<6 and 8<y<12, then which of the following statements is correct?a)Largest integer value of x+y is 17 when both x and y are integers.b)Largest integer value of x+y is 16 when both x and y are non-integers.c)Either the value of x or the value of y should be given for calculating the largest integer value of x+y.d)None of the above.Correct answer is option 'D'. 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 3<x<6 and 8<y<12, then which of the following statements is correct?a)Largest integer value of x+y is 17 when both x and y are integers.b)Largest integer value of x+y is 16 when both x and y are non-integers.c)Either the value of x or the value of y should be given for calculating the largest integer value of x+y.d)None of the above.Correct answer is option 'D'. 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 3<x<6 and 8<y<12, then which of the following statements is correct?a)Largest integer value of x+y is 17 when both x and y are integers.b)Largest integer value of x+y is 16 when both x and y are non-integers.c)Either the value of x or the value of y should be given for calculating the largest integer value of x+y.d)None of the above.Correct answer is option 'D'. Can you explain this answer?.
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