Official Quant thread for CAT 2013

There is a circular track of the length 440 m. There are three persons A, B and C standing at different points on the track ready to start the race. A and B are standing diametrically opposite to each other while C is exactly mid-way between A and B, such that A, C and B are standing in clockwise order. The race starts at 10.00 a.m. The speeds of A, B and C are, respectively, 5 m/s, 10 m/s and 8 m/s.At what time would B and C meet for the second time, if all the three of them run in the clockwise direction?

Select one:

a. 10 : 03 : 50 a.m.

b. 10 : 04 : 35 a.m.

c. 10 : 05 : 10 a.m.

d. 10 : 06 : 25 a.m.

e. None of the above

Due to torrential rains a Kolkata suburban train covers only 1/6th of the distance in 1/4th of its stipulated time. To reach the destination in time the driver should increase the speed to what times of its original speed ?

Select one:

a. 3/2

b. 2

c. 9/4

d. 5/2

e. 3

How to calculate number of 9's present from 1 to 1000.Is there any short cut other than normal counting

A and B are running towards each other at the speed of 20 kmph and 10 kmph respectively. When they are 150 km apart, A reverses direction and halves his speed and every half an hour he repeats this while B continues travelling in the same direction. Find the distance between them after B has reached the point from which A had started reducing his speed.

Select one:

a. 0 km

b. 4.1 km

c. 10.2 km

d. 100 km

e. None of the above

how to calculate number of 9's present between 1 to 1000.Is there any short cut other normal counting

Amitabh covered a distance of 96 km two hours faster than he had planned to, this he achieved by travelling 1km more every hour than he intended to cover every 1hour 15 minutes what was the speed at which Amitabh travelled during the journey?

Select one:

a. 16

b. 26

c. 30

d. 36

e. None of the above

Amitabh covered a distance of 96 km two hours faster than he had planned to, this he achieved by travelling 1km more every hour than he intended to cover every 1hour 15 minutes what was the speed at which Amitabh travelled during the journey?

Select one:

a. 16

b. 26

c. 30

d. 36

e. None of the above

Amitabh covered a distance of 96 km two hours faster than he had planned to, this he achieved by travelling 1km more every hour than he intended to cover every 1hour 15 minutes what was the speed at which Amitabh travelled during the journey?

Select one:

a. 16

b. 26

c. 30

d. 36

e. None of the above

The distance of P from Q is 7 km. An aeroplane flew from P to Q against the wind and then come back in 22 minutes. If its speed was decreased by 25/2 flying against the wind and increased by 5% when flying with the wind, how long would the flight have taken, had there been no wind?

Select one:

a. 15 minutes

b. 21 minutes

c. 24 minutes

d. 36 minutes

e. 60 minutes

A student got down at a tram-stop A and walked the remaining distance to school. If he had stayed in the tram until the next stop B and then walked to school he would have taken a minute less. If he had walked the entire distance from A to school at twice his usual speed, he would have taken as much time as the tram would take for traveling from A to B. If the school is 300 m from A, and 100 m from B, the walking speed of the student is

Select one:

a. 2.5 kmph

b. 3 kmph

c. 3.5 kmph

d. 4 kmph

e. 5 kmph

Let N be the product of the first 100 positive odd integers. Find the largest integer p such that N is divisible by 3^p

a. 47

b. 48
c. 49
d. 0

If three positive real numbers x, y and z satisfy y – x = z – y and x y z = 4, then what is the minimum

possible value of y?

1. 2^1/3

2. 2^2/3

3. 2^1/4

4. 2^3/4

X1+x2+x3+x4= 20 such that x1>x2.Number of non negative integral solutions

distance between x to y is 100m, 5 stones are kept at 0m, 2m, 4m, 6m, 8m distance from x. Calculate minimum distance to take all stones to y one at a time?

a,b,c are the lengths of the sides of the triangle ABC; d,e,f are the lengths of the sides of trngle DEF
If a(a+b+c)= d^2
b( ab+c)= e^2 c(a+b+c) = f^2...then triangle DEF is acute /obtuse/ right angled ?

Coordinates of 3 points of triangle A (-2,4), B(6,7), C(-3-5) find the radius of the circle circumscribing the given triangle ?

Find the number of zeroes at the end of-

a) 825! - 225!

b) 56! + 65!

Find the no of 3 element set of distinct positive integral possible( a,b,c) Such that abc = 210

Number of ways of distributing 7 different objects to 3 different people such that each gets at least 1 object?

puys can anyone pls share a drop box link from where I can download 2012's CL and TIME proctored and unproctored mocks