Official Quant thread for CAT 2013

18 guests have to be seated, 9 on each side of a long rectangular table. 4 particular guests desire to sit on one side of table and 3 others on another side.Determine the no of ways in which sitting arrangements can be made.

A man standing on a boat south of a light house observes his shadow to be 24 meters long, as measured at the sea level. On sailing 300 meters eastwards, he finds his shadow as 30 meters long, measured in a similar manner. The height of the man is 6 meters above sea level.

16 The height of the light house above the sea level is:

A. 90 meters
B. 94 meters
C. 96 meters
D. 100 meters
E. 106 meters

17 What is the horizontal distance of the man from the light house in the second position?

A. 300 meters
B. 400 meters
C. 500 meters
D. 600 meters
E. None of the above




A bacterium doubles in a day. A bacterium is kept in a container. After 10 days the container is completely filled with bacteria. How much time will take to half fill the container??mg


find the number of ways of arranginging 30 identical balls in 7 different boxes so that no two box has the same number of balls an each box gets atleast 1 ?? 😁

The football league of a certain country is played according to the following rules:


· Each team plays exactly one game against each of the other teams.

· The winning team of each game is awarded 1 point and the losing team gets 0 point.

· If a match ends in a draw, both the teams get 1/2 point.

After the league was over, the teams were ranked according to the points that they earned at the end of the tournament. Analysis of the points table revealed the following:


· Exactly half of the points earned by each team were earned in games against the ten teams which finished at the bottom of the table.


· Each of the bottom ten teams earned half of their total points against the other nine teams in the bottom ten.


How many teams participated in the league?

A. 16 B. 18 C. 19 D. 25 E. 30

Make a sentence and a question in which I and is come together.

100 people sitting around a circle.

In how many ways can we select 3 out of them such that none of the selected sit together ?

In the figure given above, O is the centre of the circle. AC and BD intersect at P. If ang AOB=100 deg. what is ang APB..............bhai i hv uploaded the paper ............ques no.58


IN the figure above, PQ is a diameter of the circle whose centre is at O. If ROS=44 DEG THEN ang RTS= 46 64 69 NONE

ABCD is a quadrilateral. The diagonals of ABCD

intersect at the point P. The area of the triangles

APD and BPC are 27 and 12, respectively. If the

areas of the triangles APB and CPD are equal

then the area of triangle APB is

A. 12 B. 15

C. 16 D. 21

E. 18

how many different signals can be made by waving 5 different colored flags one along the other when one or more of them can be waved at time?


Please explain
ans: 325

In how many ways can one divide 12 books in a) into four equal bundles b) equally among four boys


Please explain.

long divison method for cube root .mg

Ram committed a mistake in finding LCM of three positive integers greater than 1,namely X, Y and Z and found it to be 840, which is a common multiple of X, Y and Z, butis not the lowest one. The HCF of X, Y and Z is 1.Find the maximum value of X + Y + Z.(1) 563 (2) 864(3) 484 (4) 645

Three jar contain alcohol water solution in the ratios 3:5,1:3,1:1.If all the 3 solution are mixed the ratio 4:2:1 respectively, what will be the ratio of alcohol to water in the final solution?
3:7,4:5,1:3,5:9

There are 10 chairs placed in the row. In how many ways can 4 of them be selected so that at least two of them are adjacent to each other.?

a. 210
b.180
c.175
d.160
e.150

N = 77777777, where the digit 7 repeats itself 429 times. What is the remainder left when N is divided by 1144?


Q)Find the sum of all even numbers in between 1 and 1000 such that they have 9 as one of the digits.

B + C + D + E = 4A

C+ F = 3A

C + D + E = 2F

F = 2D

E + F = 2C + 1

If A is a prime number between 12 and 20, then

109. The value of C is

A. 13 B. 17

C. 23 D. 19

E. 21

110. The value of F is

A. 14 B. 16

C. 20 D. 24

E. 28

111. Which of the following must be true?

A. B is the lowest integer and B = 12

B. D is the lowest integer and D = 14

C. C is the greatest integer and C = 23

D. F is the greatest integer and F = 24

E. A is the lowest integer and A = 13

Find a number of ways in which a selection of 4 letters can be made from the word 'DISTILLATIONS'


Please explain.