Official Quant thread for CAT 2013

Last two digits of

(77)^1836 x (41)^1096


Find the coefficient of x^12 in the expansion of (1 – x^6)^4(1 – x)^-4


What is the difference between highest decline in cost per square feet and sharpest decline in cost per square feet

Directions: A four digit number is formed by using the digits 1, 2, 3, 4, 5, 6, 7 in all possible ways without repetition.How many of them are greater than 3,400?

840

560

480

120

600

A cube and a right cylinder have the same surface area. If the height of the cylinder is equal to its diameter, then the volume of the cylinder is approximately what percent greater than that of the cube?

13
16
33
24

please explain with detailed steps

the super computer at ram mohan roy seminar takes an input of a number N and x is a factor of the number N. in the particular case N is equal to 83p796161q and x is equal to 11 where 0

options
6
3
2
9

approach please

how many two digit number less tha or equal to 50 , have the product of the factorial of there digit less than or equal to the sum of the factorials of there digits ?

options
18
16
15

Easy LR
six runners.A,B,C,D,E,F take part in a race.
Conditions:

1.C is 3 place ahead of F
2.B is in fifth.

3.Fis ahead of E.
which positions are not determined by this info. :banghead:

A:1,2
B:2,3
C:3,4
D:4,5

A ball bounces to a height of 25m on 4th bounce.Find the total distance travelled by the ball till it stops bouncing if it bounces to 60% of its previous height after each bounce.
A:510
B:483
C:446

D:498

The constant term in the expansion of [(x^2) + (1/x^2)+y+(1/y)]^8 is
A:4900

B:3/2
C:5/4
D:2

If a and b are roots of the equation 2x^2-8x+5=0
fin the value of (a/b+b/a)+(1/a+1/b)-ab

A. -6/5
B. -2/5
C.2/5
D. 1
This is a time book que (the answer as they have given is one of this option while I am getting a different answer

)

In the diagram above, triangle ABC is equilateral, figure SQRE is a square, and A is the midpoint of SQ. If the perimeter of triangle ABC is 6 inches, what is the length, in inches, of segment RY ?

(A) 0.5(B) 1.5(C) (D) (E)

A dealer offers a cash discount of 20% and still makes a profit of 20% when he further allows 16 articles to a dozen to a particularly sticky bargainer. How much percent above the cost price was his wares listed?

100%

80%

75%

80%


3 circles touching each other.smaller circle having radius r0 and other two larger circle having radius r1,r2 and there is a common tangent to all three.find 1/r0

a)(1/r1+1/r2)

b)(1/r1+1/r2)^2

c)(1/r1^1/2 +1/r2^1/2)^2

d)(1/r1^1/2 +1/r2^1/2)

@rahul098 check the attachment .. Apply Pythagoras .. it's easy.

In 12 hours, how many times the two hands of a clock make 90 degree between them?

A, B and C are running around a circular track of length 600m with respective speedds of 4m/s , 5m/s and 8m/s. All the three start at the same point and at the same time. A runs in the direction opposite to B and C. By the time A reaches a point that is diametrically opposite to the starting point for the third time, how many meeting take place between at least two of the three persons.


A box contains 6 red balls, 7 green balls and 5 blue balls. Each ball is of a different size. A ball is selected at random. The probability that the selected red ball is the smallest is

1/18

1/3

1/6

2/3

1/12

Mohit and Saket started a business with equal aggregate investments. Mohit made one time investment in the beginning while Saket kept on investing equal monthly amount till the 8th month from the starting. If the total profit made in the business at the end of the year was 16400, find the share of Mohit.

if a man save 1000 each year and invest at the end of the year at 5% compound interest , how much will the amount be at the end of 15 years ?

21,478
21,578
22578
22478
22178