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Data Sufficiency - Odds and Even

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by umasastry » Tue Feb 16, 2010 2:23 pm
If x>1, what is the value of integer x?

1). There are x unique factors of x.
2). The sum of x and any prime number larger than x is odd.

Can anybody help me understand the 1st statement - "There are x unique factors of x."?
Thanks
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by ajith » Tue Feb 16, 2010 2:46 pm
umasastry wrote:If x>1, what is the value of integer x?

1). There are x unique factors of x.
2). The sum of x and any prime number larger than x is odd.

Can anybody help me understand the 1st statement - "There are x unique factors of x."?
Thanks
Number of unique factors of x is x
So all the numbers from 1 to x should be a factor of x
there is only 1 number like that exists for x>1 ; 2

2 has 2 factors (2,1)

1) Is sufficient

2) Is insufficient - only implies that x is even

A
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by thephoenix » Wed Feb 17, 2010 1:54 am
umasastry wrote:If x>1, what is the value of integer x?

1). There are x unique factors of x.
2). The sum of x and any prime number larger than x is odd.

Can anybody help me understand the 1st statement - "There are x unique factors of x."?
Thanks
s1) MEANS THAT FOR EG IF X=20 THEN IT MUST HAVE 20 UNIQUE FACTORS; SINCE FACTORS ARE ALWAYS LESS THAN OR EQUAL TO THE NUMBER ITSELF ITS NOTHING BUT AS AJITH SAID ------>THE NUMBER HAS TO BE DIVISIBLE BY ALL THE NUMBERS LESS THAN X AND GRTER THAN 1 AS THE Q SAYS

2 IS THE ONLY SUCH NO.
AND HENCE SUFF
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