Official Quant thread for CAT 2013

please do this quesstion

Nine dots are placed on a piece of paper. Find the maximum number of right angled triangles which can be formed by joining any three dots.

  • 40
  • 28
  • 18
  • none of these
  • 36

0 voters

How many ordered quadruples (a,b,c,d) of integral values are there which satisfy the equation |a|+|b|+|c|+|d| = 20 ?

Find the number of pairs (M, N) such that M+N=100 where M and N are co-prime numbers.

Are there any shortcut methods to solve questions like If the principal is 22000, the rate of compounded interest is 12%. what would be the amount after 4 years if the interest is calculated quaterly???(i do it by long method bt it takes a lot of tm)

@abhi_14

Mr X has forgotton to the telephone number of his best fren. All he remembers is that the number had 8 digits and ended with an odd number and has exactly one 9. How many possible number does he needs to try to get the correct one.

PS: pls share the approach to solve this questn



104.9^5



113.9^5



300.9^5



764.9^5.6!



×

You sure about the options, I'm getting 333.9^5 ??



Q1:

QuantExpert - Q.O.D


@catahead

C it is.

Given a triangle area of area 6 and perimeter 12, let S be the set of all points a distance 5 or less from a point of the triangle. What is the area of S to the nearest integer?


(1) 126

(2) 134

(3) 145

(4) 157

(5) 168

@albiesriram

(1) 126

(2) 134

(3) 145

(4) 157

(5) 168

@hexagon
Check the attachment

there are 8 orators a b c d e f g and h . in how many ways the arrangement is made so that a is always comes before b and b comes always befor c ?

In triangle ABC, D is the midpoint of AC and E is the midpoint of AB. BD and CE are perpendicular to each other and intersect at the point G. If AB=7 and AC=9, what is the value of BC^2?

Triangle ABC has AB=14, AC=18 and angle BAC=30*. What is the area of triangle ABC?

A point (x,y) in the first quadrant is 600 units closer to the point (500,0) than to the point (−500,0) and is a distance of 400 units away from the origin. The value of x is A root2. Find A.

A school is running a raffle for two prizes. 59 tickets were sold for the raffle, numbered 1,…,59. All the tickets are put into a hat and a teacher picks out two tickets which have numbers i and j from the hat. What is the expected value of |i−j|?

For any real number α, the parabola fα(x)=2x^2+αx+3α passes through the common point (a,b). What is the value of a+b?

What is the smallest 3-digit positive number whose product of the individual digits is still a 3-digit number?

Find the number of positive integers

An ordered triple of real numbers (a,b,c) is called friendly, if each number is equal to the product of the other 2. How many friendly triples are there?

Details and assumptions

The numbers need not be equal to each other.

The numbers need not be pairwise distinct.