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The sum of x distinct integers
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12 Sep 2018, 22:42
12 Sep 2018, 22:42
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The sum of x distinct integers greater than zero is less than 75.What is the greatest possible value of x?
A) 8
B) 9
C) 10
D) 11
E) 12
A) 8
B) 9
C) 10
D) 11
E) 12
Re: The sum of x distinct integers
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13 Sep 2018, 19:22
13 Sep 2018, 19:22
5
AchyuthReddy wrote:
The sum of x distinct integers greater than zero is less than 75.What is the greatest possible value of x?
A) 8
B) 9
C) 10
D) 11
E) 12
A) 8
B) 9
C) 10
D) 11
E) 12
Sum of n distint numbers is given by \(\frac{n(n + 1)}{2}\)
so,
\(\frac{n(n + 1)}{2}\) < 75
or n(n + 1) < 150
Solving we have n = 11.5 and -12.5 (we cannot have negative value)
so n < 11.5
so the value should be 11 i.e. option D
General Discussion
Re: The sum of x distinct integers
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28 Sep 2018, 00:52
28 Sep 2018, 00:52
pranab01 wrote:
AchyuthReddy wrote:
The sum of x distinct integers greater than zero is less than 75.What is the greatest possible value of x?
A) 8
B) 9
C) 10
D) 11
E) 12
A) 8
B) 9
C) 10
D) 11
E) 12
Sum of n distint numbers is given by \(\frac{n(n + 1)}{2}\)
so,
\(\frac{n(n + 1)}{2}\) < 75
or n(n + 1) < 150
Solving we have n = 11.5 and -12.5 (we cannot have negative value)
so n < 11.5
so the value should be 11 i.e. option D
if n<11.5 so option a,b,c,d all are less then 11.5. why only d is correct answer choose??
