How many integers are greater than x, but less than y?
(1) y = x + 5
(2) x=√5
The OA is the option C.
I don't understand. If y=x+5 then between x and y will be always 4 integers. Am I wrong? Experts, can you give me some help? Thanks.
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How many integers are greater than x, but less than y?
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GMATGuruNY
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Statement 1:Vincen wrote:How many integers are greater than x, but less than y?
(1) y = x + 5
(2) x=√5
Case 1: x=0 and y = x+5 = 0+5 = 5
In this case, there are 4 integers between x and y:
1, 2, 3, 4.
Case 2: x=0.5 and y = x+5 = 0.5 + 5 = 5.5
In this case, there are 5 integers between x and y:
1, 2, 3, 4, 5.
Since the number of integers between x and y can be different values, INSUFFICIENT.
Statement 2:
No information about y.
INSUFFICIENT.
Statements combined:
Since x = √5 ≈ 2.24 and y = x + 5 ≈ 5 + 2.24 = 7.24.
Thus, there are 5 integers between x and y:
3, 4, 5, 6, 7.
SUFFICIENT.
The correct answer is C.
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Your statement is correct ONLY IF x and y are integers.Vincen wrote: I don't understand. If y=x+5 then between x and y will be always 4 integers. Am I wrong? Experts, can you give me some help? Thanks.
For example, x = 0.5 and y = 5.5 satisfies the equation y = x + 5, HOWEVER there are 5 integers between 0.5 and 5.5 (they are 1, 2, 3, 4, and 5)
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