Official Quant thread for CAT 2013

what should be the answer of

lim (cos x)/x ?

x->0

How many pairs of two positive integers are there who have their lowest common multiple as 2013?


A. 8 B. 14 C. 27 D. None of these

@DeAdLy @Dexian @hexagon

The population of a city increases @ 4% p.a. There is an additional annual increase of 4% of the population due to the influx of job seekers, find the % increase in population after 2 years?

Guys! needed some sort of a question bank on cubes. Is there any thread which discusses cube problems?? Or of someone has questions in pdf that will be great as well

Questions on mensuration

1. If a largest possible cube is inscribed into a hemisphere of radius 'a', find the edge of the cube

2. If a largest possible sphere is inscribed into a cone of radius = 'a' and slant height = '2a' find the radius of the sphere

Guys help....

There is a large room of size 24 ft * 32 ft. The floor is to be paved with tiles of same dimension.
Find,
1. minimum number of tiles and their dimension
2. maximum number of tiles

A tank holds 100 gallons of water. Its inlet is 7 inches in diameter and fills the tank at 5 gallons/min.
the outlet of the tank is twice in diameter of the inlet. How many minutes will it take to empty the tank if both the pipes are opened when the tank is full. ?


Containers labeled A and B are filled with red and blue marbles in given quantities: -

Container RED BLUE

A 6 4

B 60 40

Each container is shaken vigorously. After choosing 1 of the container, without looking, draw out a marble. From which container you have the max probability of choosing a blue marbel?
(a) Container A (6 red, 4 blue)

(b) Container B (60 red, 40 blue)

(c) Equal chances from each container.

Find area of equilateral ฮ”CAT.

I. โˆ COT = 120หš where O is a point inside ฮ”CAT.

II. OC = 10 where O is a point inside ฮ”CAT



A. One statement alone is sufficient but other one is not sufficient alone to answer the question.

B. Either statement alone is sufficient to answer the question.

C. Both statements together are sufficient to answer the question but neither one alone.

D. Even both statements together cannot answer the question.

hi puys can any one tell me diff between cat replica test and mock cat that are their in TIME accounts and which one is closer to actual AIMCATs??

i have a confusion.can anyone tell me the difference between ordered and unordered pairs.?

"Two men, 3 women and 3 boys can complete a job in 20 days. Four men and 9 women can complete the same job in 10 days. Find the ratio of the time taken by a woman and a boy to complete the job."


a. 3 : 2

b. 1 : 2

c. 3 : 1

d. 2 : 1

e. None of these

Hi Puys Please explain the attached . please explain how to do such problems -

@chillfactor @Aizen @scrabbler Please see to it.embarrased

remainder when 20!+20^23 is divided by 23

Given that 2^x^y + x^2^y = 3. What is the total number of integral solutions for the given equation?


(1) 0

(2) 2

(3) 1

(4) 3

(5) More than 3.

N= 9a6bc
how many number of type N are divisible by 3?
ans= 334

SOmeone please help me ! I've been scoring really well in my Verbal and LR sections in my Mock cats, and even though i am dedicating almost my entire day since about almost 40 days( and even before that my main focus has been Quant), to Quant, my scores have been abysmal๐Ÿ˜ ๐Ÿ˜ ๐Ÿ˜ ๐Ÿ˜ ๐Ÿ˜ ๐Ÿ˜ ๐Ÿ˜ ๐Ÿ˜ . What is going wrong ? any suggestions ?

In a 5 ร— 5 square grid composed of 25 units squares, there is a shaded unit square in fourth column and second row. How many rectangles are there in the grid which contain that shaded square?


A. 16 B. 32 C. 64 D. 128