QUESTION

CSAT

Medium

Reasoning

Prelims 2019

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?

Select an option to attempt

Explanation

Step 1: Evaluate Option A If x=25x=25 and y=40y=40, then x is not greater than y. Therefore, Option A is not always correct.

Step 2: Evaluate Option B If x=25x=25 and y=40y=40, then yx=4025=15y-x=40-25=15, which is not greater than 15. Therefore, Option B is not always correct.

Step 3: Evaluate Option C If x=25x=25 and y=40y=40, then yx=4025=15y-x=40-25=15, which is less than or equal to 15. If x=26x=26 and y=39y=39, then yx=3926=13y-x=39-26=13, which is also less than or equal to 15. Therefore, Option C is always correct.

Step 4: Evaluate Option D If x=25x=25 and y=40y=40, then x+y=25+40=65x+y=25+40=65, which satisfies the condition. However, if x=28x=28 and y=30y=30, then x+y=28+30=58x+y=28+30=58, which is less than 65. Therefore, Option D is not always correct.

Conclusion: The statement that is always correct is Option C:

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