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
Friday, October 7, 2011
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*}](http://data.artofproblemsolving.com/images/latex/c/a/a/caaf90100fb45a875104cfd0977aabb5d40b25de.gif "\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]](http://data.artofproblemsolving.com/images/latex/6/e/e/6eebfdc0b90298325dca03dabfb75924df0b743f.gif "\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
Sunday, October 2, 2011
Problem of The day 2nd Oct 2011
Let [x] and {x} respectively denote the integer and fractional part of of a real number x. If {n} + {3n}=1.4, find the sum of all possible values of 100{n}.
(A) 180 (B) 145 (C) 85 (d) 102
(A) 180 (B) 145 (C) 85 (d) 102
Saturday, October 1, 2011
Problem of the day 1 oct 2011
In 3-dimensional space, there are 3 rays leaving point 
. Any pair of 2 rays make a 60 degree angle with each other in their respective planes. Points 
, 
, and 
are situated on the rays (one per ray) such that 
, 
, and 
are all integers, and 
. if 
and is odd, then determine the value of if 
.
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. Any pair of 2 rays make a 60 degree angle with each other in their respective planes. Points , , and are situated on the rays (one per ray) such that , , and are all integers, and . if and is odd, then determine the value of if .Please like us on facebook!
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