TESTfunda - CAT Question of the Day 25-Sep-13

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Testfunda
25-Sep-13
CAT Question of the Day
Three distinct prime numbers are chosen and their average is calculated. Which of these statements is definitely true about the average?
OPTIONS
 
 1)It can never be odd.
 2)It can never be even.
 3)It can never be prime.
 4)It can be even, if 2 is one of the chosen primes.
 5)It is odd if 2 is not one of the chosen primes.
Tip of the Day
If x = y(mod z) denotes that when x is divided by z, the remainder is y, then for a prime number, p,

1p - 1 + 2p - 1 +3p - 1 + … + (p - 1)p - 1 = 0(mod p)
Last year's Question of the day (24-Sep-12)
In the following questions a sentence/paragraph is broken into fragments and labelled A, B, C and D. Choose for your answer the combination that shows all the INCORRECT fragments.

A. I enjoyed reading the book nevertheless, but at the 80% mark it slowed down drastically, 
B. and there were places when I felt the story losing focus and meandering around. 
C. I still hoped it will get back on track by the time it ended, but sadly, no.
D. All said and done, historical fiction is one of my favourite genre.

OPTIONS
 
 1)B, C, and D
 2)A, B, and C
 3)D only
 4)A only
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