Official Quant thread for CAT 2013

Side AC of the right triangle ABC right angled at A, is divided into 8 equal parts by drawing 7 lines segments parallel to BC meeting AB at 7 different points. What is the sum of all the 7 lines drawn parallel to BC, if the length of BC is 10 cm?

33

34

35

36

28



A telephone number consists of eight digits.It ends with an odd number and has exctly one 9.How many possible numbers have to be tried so as to be sure to hit the right number?

104*9^5
113*9^5
300*9^5
764*9^5*6!

the radius of a cone is _/2 times the height of the cone. a cube of max possible volume is cut frm the same cone. what is the ratio of volume of cone to volume of cube??


3.18pi
2.25 pi
2.35 pi

I have made payment for XIMB through XAT but closed the payment confirmation page, and now I am unable to navigate to that page again and not getting any link to download that. What should I do now??Please solve my query as soon as possible.

x, y, z are positive real numbers such that xyz = 32, find the minimum value of x² + 4xy + 4y² + 2z².

PHelp me with this



A cubical container with side 8 cm is filled with water. A second cubical container with side 10 cm is filled with milk and a third container with side 20 cm is empty. The first container is tilted such that the water level coincides with the plane, which is formed by joining the bottom side and the top side of the opposite faces of the container. The water that spills over is poured into the third container. The same is done with the second container and the milk that spills over is poured into the third container.

What is the ratio of milk to water in the third container?

64 : 125

36 : 16

115 : 64

125 : 64

A soldier loses his way in a thick jungle. At random, he walks from his camp, but mathematically in an interesting fashion. First he walks one mile towards East, then half mile towards North, 1/4 mile towards West, then 1/8 mile towards South and so on, making a loop. Finally, how far is he from his camp?

A- root5

B - 2/root5

C- 1.5

D- 1/root5

Help me with this..Shouldn't it be 4

Given three non-collinear points in the plane, find the number of lines that can be drawn on the plane which are equally distant from each of the three points:


a) 0

b) 1

c) 2

d) 3

e) more than 3


Find all positive integers n for which : n^3- n^2 + n- 1 is prime

In a triangle, the sum of the lengths of any two sides is 3 cm more than the length of the third side. Find the area of the triangle in sq.cm

A) 9sqrt3/4

B) 10sqrt3

C)25sqrt4/4

D)6sqrt3

E) None of these

Two different numbers when divided by the same divisor left remainders of 11 and 21 respectively. When the numbers' sum was divided by the same divisor, the remainder was 4. What was the divisor?(a) 36 (b) 28 (c) 12 (c) None of these

😃 XAT08

We are given a system of n linear equations in n variables, n > 1. Which of the following

statements MUST BE FALSE?

(a) The system of equations has an odd number of solutions.

(b) The system of equations has no solution.

(c) The system of equations has an infinite number of solutions.

(d) The system of equations has exactly n solutions


pls explain why the answer as well

a+b+c+d=28, Find the max value of a^2.b^4.c^3.d^5.

a+b+c+d=28, Find the max value of a^2.b^4.c^3.d^5.

What is the max and min value of 7cosA+24sinA.

2x+3y+5z=100. Find the whole number soln?

OA-184

if f(x)+f(1/x)=f(x+1/x) and f(4)=65. Find f(7)