Official Quant thread for CAT 2013

If x and y are even integers,then thenumber of solutions of x^2-y^2 = 7389746232

In an upward moving escalator, time taken by Raj to reach the top from bottom when he takes 12 steps/min and 18 steps/min is 25 secs and 20 secs resp. How much time will he take to reach the bottom when he takes 27 steps/min ??

(pls provide the explanation)

DATA SUFFICIENCY......
2 numbers are in ratio 2:3 .find numbers

1)difference of cubes is 152
2)differece of sqares is 125

  • B ALONE NOT A
  • BOTH
  • A ALONE NOT B
  • ANY OF THEM ALONE IS SUFFICIENT

0 voters

A B C are 3 brothers inherited few gold coins .if they share them in ratio 1:5:8 then one coin remains left out . if they share in 1;3;7 then no coins remains left. comparing both these cases what is the minimum possible difference in number of coins that c can get ?

  • 13
  • 6
  • 11
  • 9
  • 7

0 voters

The value of a diamond is directly propotional to square of its weight . if diamond weighing 4 kgs break into 2 pieces its total value decreases by 37.5% the weight of 2 pieces are ?

  • 2,2
  • 3.5,0.5
  • 3,1
  • 2.5,1.5

0 voters

The value of gold plate is directly proportional to square of its diameter .while the thickness remains the same . it is also directly proportinal to thickness when its diameter remains same . 2 gold plates have diameters in ratio 4:3 . find the ratio of thicknesses if value of 1st is 4 times that of second

  • 16;9
  • 3:2
  • 3;5
  • 9:4

0 voters

The reduction in speed of engine is proportional to the square of number of boogies attached to it during the reduced speed. the speed of train is 100km/hr when there are 4 boogies and 55 km/hr when there are 5 boogies ,what is the max number of boogies that can be attached to the train so that even with those many number of boogies it can just move

  • 3
  • 6
  • 5
  • 4

0 voters

Y is sum of three quantities which are directly proportional to X, X^2 ,X^3 respectively and when X=1 y is 4 ,when x is 2 y is 8 and when x is 3 y is 18 . what is value of y when x is 7

x1 + x2 + x3 + x4 + x5 = 20
how many positive integral solutions possible if x1,x2,x3,x4,x5 approach please

THE differencce b/w the LCM and HCF of the two natural no a and b is 57. what is the min value of a+b
22
27
31
58

Four boys A,B,C,D and their respective girl friends E,F,G,H are to be seated around a rectangular table with 4 chairs on 2 sides each such that no couple sit exactly facing each other . The boys want to be seated on the same side ,how many seating arrangments are possible?

if n is an odd multiple of 3 how many ways can 2^n be expressed as product of 3 factors

The greatest possible number of points of intersection of 8 straight lines and 4 circles is a. 32 b. 64 c.76 d.104

hi puys,

i just wanted to ask that when should we start with full lenght mocks for CAT-2013? i am still not done with my prep completely. should i start with the mocks or should i wait?

  • august
  • july

0 voters

The students of three classes A, B and C took a test. The average marks of all the students of classes A and B is 71. The average marks of all the students of classes B and C is 76. The average marks of all the students of classes A and C is 79. The range of average marks (p) of all the students of all the three classes is ______.

a) 72

b) 73

c) 71

d) 73.5 any shortcut or any other approach other than the lengthy approach for this kind of problems .. ??

After yuvraj hit 6 sixes in an over, geoffery boycott commented that yuvraj just made 210 runs in an over. Harsha bhosle was shocked and he asked geofffery which base system was he using? What must have been geoffery's answer.?

a. 9
b. 2
c. 5
d. 4
e. 7
😠😠

Find the total number of integral solutions of equation 407 x - ddd y = 2589 where ddd is a three digit number.

a. 0
b. 1
c. 2
d. 3
e. can't be determined.
Share approach...plzzz

In a number system the product of 44 and 11 is 1034. The number 3111 of this system, when converted to decimal number system, becomes:

a. 406
b. 1086
c. 213
d. 691
e. none..

Pranav writes a number N to the base 16.He observes that N is a nine digit number and the sum of these digits is 30 to the base 10.If the sum of the digits in the even places is equal to the sum of digits in the odd places,then N to the base 16 is always divisible by

1)99 to the base 10
2)99 to the base 16
3)255 to the base 10
4)255 to the base 16
detailed sol pls

NEED APPROACH ...........

A B C are 3 brothers inherited few gold coins .if they share them in ratio 1:5:8 then one coin remains left out . if they share in 1;3;7 then no coins remains left. comparing both these cases what is the minimum possible difference in number of coins that c can get ?