All the best to all the CAT 2011 aspirants..
Cheers,
Rahul
Cheers,
Rahul
Showing posts with label GRE. Show all posts
Showing posts with label GRE. Show all posts
Friday, October 21, 2011
Wednesday, October 12, 2011
Monday, October 10, 2011
Problem of the Day 10 Oct 2011
Ten identical boxes of dimensions 
are stacked flat on top of each other, with the orientation of each box being independent and random. If 
is the probability that the height of the stack is 
and 
, find 
. All units are in feet.
are stacked flat on top of each other, with the orientation of each box being independent and random. If is the probability that the height of the stack is and , find . 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
Problem of the Day 6th Oct 2011
If xΔ(y +1) = yΔ(x +1), xΔ x = 1 and (x − y)Δ(x + y) = xΔ y, then what is the value of 1001Δ1?
(a) 1000 (b) 100 (c) 10 (d) 1
Wednesday, October 5, 2011
Problem of the day 5th Oct 2011
The set S contains nine numbers. The mean of the numbers in S is 202. The mean of the five smallest of the numbers in S is 100. The mean of the five largest numbers in S is 300. What is the median of the numbers in S?
Tuesday, October 4, 2011
Monday, October 3, 2011
Problem of the Day 3rd Oct 2011
How many ordered pairs of positive integers 
satisfy the system
![\begin{align*}\gcd (m^3, n^2) & = 2^2 \cdot 3^2,\\ \text{LCM} [m^2, n^3] & = 2^4 \cdot 3^4 \cdot 5^6,\end{align*}](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_vdLrVxeOGKNZKeCtGtFImYdkDIJBMeN2h-f-MvBDa1DBkzVKUoTg5MGpjFpaK-VmRqDURJxGINLsCadOId5F9H4IU4ExnrJHf0kFh2sCQxmDI6Pk1auYWuX2VtPkr9I_jn-4bJS1dOYaxCwTeHW5K5_sV5G6OQWj4wfEr_HNptJl_uLKwWLg=s0-d "\begin{align*}\gcd (m^3, n^2) & = 2^2 \cdot 3^2,\\ \text{LCM} [m^2, n^3] & = 2^4 \cdot 3^4 \cdot 5^6,\end{align*}")
where
and ![\text{LCM}[a, b]](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_vkN6Ktc3kIFMHxjUf2XZs1o9ss_n87CDTb8hKGn0eh_ZclHqDaYrO4esEaFylLGFMFVJjm6bZrYkH__3cVrgvwCWUbzXEqdoCReD7driuOa5euPnuZLAWFB813RzsxOAW4PjzKvvUWleltXNZTjTha01mBrypuvfqWHflBnIVe8ZJ7iEH24w=s0-d "\text{LCM}[a, b]")
denote the greatest common divisor and least common multiple of 
and 
, respectively?
(A) 0 (B) 1 (C) 2 (3) More than 2
satisfy the systemwhere
and denote the greatest common divisor and least common multiple of and , respectively?(A) 0 (B) 1 (C) 2 (3) More than 2
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