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10 May 2020, 12:13
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E
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Difficulty:
65%
(hard)
Question Stats:
42% (01:09) correct
58%
(00:50)
wrong
based on 110
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Is \(\frac{25}{a + 1}\) an integer?
(1) \(a\) is a multiple of 25
(2) \(0 \leq a \leq 25\)
(1) \(a\) is a multiple of 25
(2) \(0 \leq a \leq 25\)
10 May 2020, 20:44
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Bunuel
When will \(\frac{25}{a + 1}\) be an integer?
when a+1 is a factor of 25.
(1) \(a\) is a multiple of 25
It is easy to believe a+1 will never be a factor of 25, but what happens when a=0.
0 is a multiple of all numbers.
a=0....\(\frac{25}{a + 1}=\frac{25}{1}=25\)...YES
a=25...\(\frac{25}{a + 1}=\frac{25}{26}\)...NO
(2) \(0 \leq a \leq 25\)
Same cases as in statement I
Combined
Again a=0 and a=25, gives different answers
Insuff
E
26 Sep 2024, 23:36
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I did not understand why ''statement 2'' is not sufficient?
