Official Quant thread for CAT 2013

A park is in the form of a square of side s. A and B start walking on its boundary in opposite directions, both starting from the same point, P, which is a corner of the park. In the time that A completes 3 rounds of the park, B completes 4. What is the straight line distance between P and the point where A and B meet on their 3rd meeting?


i hav a doubt..wen they are running in opposite directions wont they meet at 7 distinct points??(3+4)... n if so.. y did we consider 12s in their 3rd meeting?

What is the highest possible value of 'n' for which 3^1024 – 1 is divisible by 2^n?

1) 13

2) 10

3) 11

4 ) 12

In how many ways can 15 people be seated around two round tables with seating capacities of 7 and 8 people?

A.15!8!

B.7!×8!

C.15C8×6!×7!

D.2×15C7×6!×7!

E.15C8×8!

ppppppp

How many pair of positive integers (a, b) are there such that their LCM is 2012?

ans 15

any formula?

From a deck of 52 cards, two cards are drawn at random without replacement. If one card is further drawn from the pack, what is the probability that it will be a Queen?

A)1/13

B)1/4

C)1/26

D)1/17

On June 30, 1996, the difference between the ages of Mr. and Mrs. Kapoor was equal to the age of their son Golu. After a few years, when Mr. Kapoor turned 35, Mrs. Kapoor's age was half the square of Golu's age then. After another ten years, the difference between the sum of the ages of Mr. and Mrs. Kapoor and that of their son Golu was 69. If Mr. Kapoor is older than his wife, how old will Mrs. Kapoor be on June 30, 2021?

A)48

B)32

C)52

D)54

If f(x) = x5 – x4 – x2 – x, and p, q and r are the roots of the cubic equation x3 – x2 – 1 = 0, then what is the sum of f(p), f(q) and f(r)?

A)0

B)3

C)1

D)-1

40 players are to be divided into 4 teams of 10 players each. If 4 particular players must be assigned to 4 different teams, in how many ways can the 4 teams be formed?

A)40!/4!9!

B)4!*36!/(9!)^4

C)36!/(4!*9!)

D)None of these

A local bus leaves Delhi for Lucknow at 7:00 am. An express bus leaves for Lucknow from Delhi 10 minutes later. The speed for both the buses is a constant 60 kmph. However, while the local bus has 19 uniformly placed halts, the express bus has just 4 uniformly placed halts. Each halt is of one minute duration and halt does not include the last stop or the destination. If the total distance from Delhi to Lucknow is 60 km, at what distance from Delhi will the second bus catch up with first bus?

A)42 km

B)39 km

C)30 km

D)None of these

Q Krishna bought some wheat at Rs. 10 per kilogram. He buys 2 kg wheat from a ration shop at the rate of Rs. 8 per kilogram. He mixes the two and sells at Rs. 11 per kilogram. He makes 25% profit. What is the ratio of non-ration to ration wheat? A. 1:4B. 1:5C. 5:1D. None of the above

If a, b, c, d and e are the five positive roots of the equation x5 − 5x4 + kx3 + mx2 + nx − 1 = 0, what is the product of k, m and n?

A)More than 17

B)10

C)Less than −400

D)–211

how to find areas of polygons starting from pentagon ??? for hexagon 6 equilateral triangles so is there any funda to find the areas for other regular polygons too????

In standard format, dates are written in the form DD/MM/YYYY. The last possible date in the 20th century, where all the digits written in this format were odd, was a Sunday. What is the day on the first possible date of the 21st century, where all the digits written in this format were even?

A)Sunday

B)Friday

C)Wednesday

D)Monday
@blowcat13 @jasneetdua @placiddisciple @jp_1991

Nargis has 8 children and she takes 3 at a time to a park as often as she can without taking the same 3 children together more than once. THe no of times she will go to the park is

a) 56
b) 14
c) 28
d) 76.

The ans is 56. Can anyone post the approach

For how many two digit positive numbers is the difference between the number itself and the number formed on reversing its digits is the perfect square of an integer?

A)26

B)31

C)38

D)None of these


After travelling 50km, a train is meeting with an accident and travels at 3/4th of the usual speed and reaches 45 min late. Had the accident happened 10 km further on it would have reached 35 min late. Find the usual speed?

In right angled triangle ABC, BC = 24 cm and ÐA = 90°. An equilateral triangle ABD is constructed with AB as one of its sides. Find the minimum possible length of CD.

12 cm

12root7

9root3

12root3

p=abc and q=uv are three and two digit number respectively such that u and v must be distinct integers . how many pairs of p and q are there in total which gives the same result when we multiply cba and vu

options
a)2
B)8
c)5
d)cannot be determined

in clock concepts what does this mean??


In 60 minutes, the minute hand gains 55 minutes on the hour on the hour hand.


how will it be applicable in this ques..?

At what time between 5.30 and 6 will the hands of a clock be at right angles?


a)43(5/11)min. past 5

b)43(7/11)min. past 5

c)40 min. past 5

d)45 min. past 5


43(5/11) and 43(7/11) are mixed fractions

all the natural number less than 1000 but not containing the digit 5 are arranged horizontally in descending order . what is the 555 number of the list?

options
a)111
b)212
c)213
d)none of these