Happy Diwali Friends... May you all score very well this year in CAT. Aaj k liye leave the preparations and celebrate Diwali.... 
A unit circle is cut into 2012 pieces (all equal in arc length) by 2012 distinct points. Three
of them are chosen at random. The probability that these three points form a right triangle is m=n where m and n are relatively prime integers. What is m + n?
Find the coordinates of the centre of the circle passing through
(1,1), (1,7), and (4,4)
If LCM of two numbers is given as 180 then how many pairs of numbers are possible?
Find the coefficient of x^301 in (1+x)^500+x(1+x)^499+x^2(1+x)^498+...+x^500?
A beat B by 200m in a 1km race. B beat C by 10m in a 100m race. By how much distance A will beat C in a 2km race..
The cost price of an article is directly proportional to the number of days in which it is produced. The profit made on an article produced in 5 days is k%, whereas the profit made on an article produced in 7 days is 100. If the selling price of the article is fixed, what is the range of k?
A person has just sufficient money to buy either 30 guavas, 50 plums or 70 peaches. He spends 20% of the money on travelling, and buys 14 peaches, 'x' guavas and 'y' plums using rest of the money. If x, y>0, what is the minimum value of the sum of x and y?
a. 20
b. 22
c. 24
d. 26
how many natural numbers are there such that lcm is 100 and hcf is not equal to 5..?
Let P = {n! + 1, n! + 2, ..., n! + n} such that 'n' is a natural number greater than 42. At the most, how many elements in set P can be prime numbers?
N! is completety divisible by 13^52. what is the sum of the digits of the smallest such number N.... ?
A. 11
B. 15
C. 16
D. 19
Find the no of distinct triangles that can be formed with integral valued sides whose perimeter is 14?
IN triangle ABC point p divides BC in 3:1 ratio.and q divides AC in 3:2 ratio. AP and BQ meets at O.find AO:OP......
a unit radius circle is divided into 7 sectors such that their total area is 1/8 th of area of the circle.area of jth sector is such that : Jn = 2* Jn-1 for n>=2...what is the angle subtended at the centre by sector J1?
1) pi/508
2) pi/1016
3) pi/1440
4) pi/1020
A shopkeeper offered two successive discounts of 30% and 20% on the purchase of a shirt to Raj and a one time discount of 50% on the purchase of the same shirt to Sahil. If the marked price of the shirt was Rs. 1500, then what was the absolute difference between the amounts paid by Raj and Sahil for purchasing the shirt?
Can anybody tell me why we cant use the formula a+b+ab/100 here while calculating the total discount in the first case?
@sagarcat ?
In how many wayz 3600 can be expressed as a product of 3 factors?
The sequence 1, 2, 4, 5, 7, 9, 10, 12, 14, 16, 17,…. has one odd number followed by the next two even numbers, then the next three odd numbers followed by the next four even numbers and so on. What is the 2003rd term of the sequence?
a. 3953
b. 3943
c. 3940
d. 3950
Practice Problem 1 = A circular table has exactly 60 chairs around it. There are N people seated at this table in such a way that the next person to be seated must sit next to someone. What is the smallest value of N?
Practice Problem 2 = We call a set "Sum-free" if no two elements of the set add upto a third element of the set. What is the maximum size of the "sum-free" subset of {1,2,3...2n-1}?
Given: h(x) = (x-4)^(1/3) and h(b(x)) = 4x Find b(1/2)?