TESTfunda - CAT Question of the Day 27-Apr-12

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UPSC 2012
 
 
Testfunda
27-Apr-12
CAT Question of the Day
On being asked how many ripe mangoes his tree had, a farmer excitedly told his wife, "Had there been 10 more, I would have been able to pack them in two boxes, each containing a perfect square number of mangoes. Oh, and one of them would also have a perfect cube number of mangoes and the other a perfect fourth power!" He then added wistfully, "But now I will just pack them in five boxes, each containing an equal number of mangoes, and the number of mangoes in each box is a perfect cube." The wife only knew that the number of ripe mangoes was a three-digit number.

What is the sum of digits of the number of ripe mangoes on the tree?
OPTIONS
 
 1)13
 2)5
 3)9
 4)Cannot be determined
Tip of the Day
In verbal sections, when you have narrowed your options down to two and are confused between the two, it makes sense to mark one of them even though you might not be sure as the probability of getting it right is half whereas the negative mark, if you get it wrong, is much less than half.
Last year's Question of the day (26-Apr-11)
How many ways can the numbers 1, 2, 3, 4, 5 be rearranged such that no number n is in the n-th position? For example  25413 and 51234 work but 12435 doesn't.
OPTIONS
 
 1)24
 2)45
 3)43
 4)44
GCET & ICET 2012
 
 
MiniCAT
 
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