Friday, October 21, 2011

All The Best

All the best to all the CAT 2011 aspirants..

Cheers,
Rahul

Wednesday, October 12, 2011

Problem of the Day 12 Oct 2011

How many factors of 2010^{2010} have last digit 2?

Monday, October 10, 2011

Problem of the Day 10 Oct 2011

Ten identical boxes of dimensions 2 \times 3 \times 5 are stacked flat on top of each other, with the orientation of each box being independent and random. If \frac{m}{n} is the probability that the height of the stack is 31 and \gcd(m, n)=1, find m. All units are in feet.

Sunday, October 9, 2011

Problem of the Day 9th Oct 2011


In an increasing Arithmetic Progression, the product of the 5th term and the 6th term is 300. When
the 9th term of this A.P. is divided by the 5th term, the quotient is 5 and the remainder is 4. What is
the first term of the A.P.?
(a) 12                 (b) –40               (c) –16                     (d) –5

Saturday, October 8, 2011

Problem of the day 8th oct 2011


Rohan is asked to figure out the marks scored by Sunil in three different subjects with the help of
certain clues. He is told that the product of the marks obtained by Sunil is 72 and the sum of the
marks obtained by Sunil is equal to the Rohan’s current age (in completed years). Rohan could not
answer the question with this information. When he was also told that Sunil got the highest marks
in Physics among the three subjects, he immediately answered the question correctly. What is the
sum of the marks scored by Sunil in the two subjects other than Physics?

(a) 6                  (b) 8                (c) 10               (d) Cannot be determined

Friday, October 7, 2011

Problem of the day 7th Oct 2011


Ten books are arranged in a row on a bookshelf. A student has to select three out of these ten books
in such a way that no two books selected by him must have been lying adjacently. In how many
ways can he make the selection?
(a) 56                                (b) 64                           (c) 72                    (d) None of these