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If x is greater than or equal to 25 and y is less than or equal to 40, then which one of the following is always correct?
- a)x is greater than y
- b)(y - x) is'greater than 15
- c)(y - x) is less than or equal to 15
- d)(x - y) is greater than or equal to 65
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
If x is greater than or equal to 25 and y is less than or equal to 40,...
Given that x is greater than or equal to 25. Also, y is less than or equal to 40.
Let’s try to find the various values of y – x.
If y = 40, x can take various values like 25, 26, 27, ....... (not necessarily integers – not given in question) In that case y – x will take values like 15, 14, 13, 12,......0, - 1 etc.
If y = 39, x can take various values 25, 26, 27.... (not necessarily integers) In that case y – x will take values like 14, 13, 12, 11 ..... 0, - 1 etc.
Similarly, if y = 38, values of y – x will be 13, 12, 11, ..... 0, -1 etc. and so on.
So, we can say that value of y – x is less than or equal to 15 in all cases.
Most Upvoted Answer
If x is greater than or equal to 25 and y is less than or equal to 40,...
Solution:
Given,
- x is greater than or equal to 25
- y is less than or equal to 40
To find: Which one of the following is always correct?
a) x is greater than y
b) (y - x) is greater than 15
c) (y - x) is less than or equal to 15
d) (x - y) is greater than or equal to 65
Let's consider each option one by one.
a) x is greater than y
This option is not always correct because we are not given any specific values for x and y. For example, if x = 30 and y = 20, then x is greater than y. But if x = 20 and y = 30, then x is less than y. Hence, this option is not always correct.
b) (y - x) is greater than 15
This option is not always correct because we are not given any specific values for x and y. For example, if x = 30 and y = 40, then (y - x) = 10, which is not greater than 15. But if x = 25 and y = 50, then (y - x) = 25, which is greater than 15. Hence, this option is not always correct.
c) (y - x) is less than or equal to 15
This option is always correct because we know that x is greater than or equal to 25 and y is less than or equal to 40. Hence, the difference between y and x will always be less than or equal to 15. For example, if x = 25 and y = 35, then (y - x) = 10, which is less than or equal to 15. If x = 30 and y = 40, then (y - x) = 10, which is also less than or equal to 15. Hence, this option is always correct.
d) (x - y) is greater than or equal to 65
This option is not always correct because we are not given any specific values for x and y. For example, if x = 100 and y = 40, then (x - y) = 60, which is not greater than or equal to 65. But if x = 100 and y = 35, then (x - y) = 65, which is greater than or equal to 65. Hence, this option is not always correct.
Therefore, the correct answer is option c) (y - x) is less than or equal to 15.
Given,
- x is greater than or equal to 25
- y is less than or equal to 40
To find: Which one of the following is always correct?
a) x is greater than y
b) (y - x) is greater than 15
c) (y - x) is less than or equal to 15
d) (x - y) is greater than or equal to 65
Let's consider each option one by one.
a) x is greater than y
This option is not always correct because we are not given any specific values for x and y. For example, if x = 30 and y = 20, then x is greater than y. But if x = 20 and y = 30, then x is less than y. Hence, this option is not always correct.
b) (y - x) is greater than 15
This option is not always correct because we are not given any specific values for x and y. For example, if x = 30 and y = 40, then (y - x) = 10, which is not greater than 15. But if x = 25 and y = 50, then (y - x) = 25, which is greater than 15. Hence, this option is not always correct.
c) (y - x) is less than or equal to 15
This option is always correct because we know that x is greater than or equal to 25 and y is less than or equal to 40. Hence, the difference between y and x will always be less than or equal to 15. For example, if x = 25 and y = 35, then (y - x) = 10, which is less than or equal to 15. If x = 30 and y = 40, then (y - x) = 10, which is also less than or equal to 15. Hence, this option is always correct.
d) (x - y) is greater than or equal to 65
This option is not always correct because we are not given any specific values for x and y. For example, if x = 100 and y = 40, then (x - y) = 60, which is not greater than or equal to 65. But if x = 100 and y = 35, then (x - y) = 65, which is greater than or equal to 65. Hence, this option is not always correct.
Therefore, the correct answer is option c) (y - x) is less than or equal to 15.
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Community Answer
If x is greater than or equal to 25 and y is less than or equal to 40,...
Assume the value of x to be 25 and y to be 40. Their difference (y-x) is 15.
Now, we know that x can be greater than 25 and y can be less than 40. Assume another probability by taking x as 26 and y as 39.
The difference is now
y-x = 39 - 26
= 13
Therefore by hit and try method we can arrive at the conclusion that (y-x) is less than equal to 15.
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If x is greater than or equal to 25 and y is less than or equal to 40, then which one of the following is always correct?a)x is greater than yb)(y - x) isgreater than 15c)(y - x) is less than or equal to 15d)(x - y) is greater than or equal to 65Correct answer is option 'C'. Can you explain this answer?
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If x is greater than or equal to 25 and y is less than or equal to 40, then which one of the following is always correct?a)x is greater than yb)(y - x) isgreater than 15c)(y - x) is less than or equal to 15d)(x - y) is greater than or equal to 65Correct answer is option 'C'. 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 x is greater than or equal to 25 and y is less than or equal to 40, then which one of the following is always correct?a)x is greater than yb)(y - x) isgreater than 15c)(y - x) is less than or equal to 15d)(x - y) is greater than or equal to 65Correct answer is option 'C'. 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 x is greater than or equal to 25 and y is less than or equal to 40, then which one of the following is always correct?a)x is greater than yb)(y - x) isgreater than 15c)(y - x) is less than or equal to 15d)(x - y) is greater than or equal to 65Correct answer is option 'C'. Can you explain this answer?.
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