Joseph and his wife went to a party where four other married couples were present. Every person shook hands with everyone he or she was not acquainted with. When the handshaking was over, Joseph asked everyone, including his own wife, how many hands they shook. To his surprise, Joseph got nine different answers.
How many hands did Joseph’s wife shake?
In a trapezoid ABCD in which AD || BC and AD = 2BC, P is a point on CD such that CP = 3 and PD = 5. Also BP when joined is perpendicular to AB, find the length of AP.
“We- Aaron, Brian, and Clyde- each have some children.
[1] Aaron has at least one girl and twice as many boys as girls.
[2] Brian has at least one girl and three times as many boys as girls.
[3] Clyde has at least one girl and three more boys than girls.
[4] When I tell you the number of children we have altogether- a number less than 25- you will know how many children I have, but not how many children each of the others has. Altogether we have…”
Starting with the 2 in the centre, the number 2005 can be formed by moving from circle to circle only if the two circles are touching. How many different paths can be followed to form 2005?
How many integer solutions (x, y) are there for the equation (x – 5)(x – 23) = 3y?
a) 0
b) 1
c) 2
d) 3
e) More than 3
Hello CAT takers,
Now that we are just a few days away from CAT, you must be revising everything for one final time before CAT. Here is a compilation of all the important Concepts and formulae for Quant. Whether you need to revise the formulae or you need them while solving problems of different topics, it’s all at one place for your ready reference.
Download it and use it for your benefit.
A king wanted to marry off his daughter. Many suitors wanted to marry the princess. So, the king devised a competition to find the most worthy of them all. He put 27 identical looking diamonds in a box. He then announced that one of the 27 diamonds was a fake. The fake diamond was identical to the other diamonds in all respects except that it had a slightly different weight. The challenge was to find the fake diamond using only a simple pan balance. What is the minimum number of weighings required to find the fake? Provide a detailed explanation with your answer.
The mean of three numbers is 10 more than the least of the numbers and 15 less than the greatest. The median of the three numbers is 5. What is their sum?
A. 5
B. 20
C. 25
D. 36
E. 30
