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Integers

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by sivaelectric » Mon May 30, 2011 5:56 am
If n is a positive integer, is 222/n an integer?
  • 1. n<5
    2. n is a prime number
If I am wrong correct me :), If my post helped let me know by clicking the Thanks button ;).

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by Frankenstein » Mon May 30, 2011 6:06 am
Hi,
(1) -> if n=1,2,3. 222/n is integer.
if n=4, 222/n is not an integer.
Not sufficient

(2)-> if n=2, 222/n is integer.
if n=5, 222/n is not an integer.
Not sufficient

From(1)&(2) -> n=2,3. So, 222/n is integer
Sufficient
Hence, answer C

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by cans » Mon May 30, 2011 6:14 am
IMO C
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by irock » Mon May 30, 2011 9:55 pm
IMO B

Since this is a yes/no question, we dont need to find the value of 222/n. We just need to check if the given condition helps to answer the question whether 222/n is an integer!

1) for n=1,2,3 222/n is integer
but for n=4 222/n is not an integer
hence we cant say definitely whether 222/n is integer

2) for n=2,3 222/n is integer
so with this second statement we can definitely say that 222/n is an integer,since we cannot contradict with any other value.

So correct answer is B

Correct me if my approach is wrong.
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by Anurag@Gurome » Mon May 30, 2011 10:06 pm
irock wrote:IMO B

Since this is a yes/no question, we dont need to find the value of 222/n. We just need to check if the given condition helps to answer the question whether 222/n is an integer!

1) for n=1,2,3 222/n is integer
but for n=4 222/n is not an integer
hence we cant say definitely whether 222/n is integer

2) for n=2,3 222/n is integer
so with this second statement we can definitely say that 222/n is an integer,since we cannot contradict with any other value.

So correct answer is B

Correct me if my approach is wrong.
While considering 2) alone, how are you taking only 2 and 3? It can be 2,3, 5,7, 11 ....anything.
2) just mentions a prime number.
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by Frankenstein » Mon May 30, 2011 10:43 pm
irock wrote:IMO B

Since this is a yes/no question, we dont need to find the value of 222/n. We just need to check if the given condition helps to answer the question whether 222/n is an integer!

1) for n=1,2,3 222/n is integer
but for n=4 222/n is not an integer
hence we cant say definitely whether 222/n is integer

2) for n=2,3 222/n is integer
so with this second statement we can definitely say that 222/n is an integer,since we cannot contradict with any other value.

So correct answer is B

Correct me if my approach is wrong.
Hi,
That means you have already taken (1) implicitly.
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by cans » Tue May 31, 2011 9:08 am
irock wrote: 2) for n=2,3 222/n is integer
so with this second statement we can definitely say that 222/n is an integer,since we cannot contradict with any other value.
You forgot to consider n=7 or other prime numbers..
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by irock » Tue May 31, 2011 9:56 am
ah yes..mu mistake..i took them together wrongly while analyzing statement 2. thanks all.
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