Official Quant thread for CAT 2013

What is the number of solution(s) of the equation |x|e^|x|=4 ?
a)1

b)2

c)3

d)4

What is derangement principle ??

Q.26 (x^p + 1)(x^q + 1) is a factor of (1 + x + x^2 + x^3 + x^4 + …+ x^39), where x, p and q are positive integers. What is the maximum possible value of (p + q)?

a)25

b)30

c)40

d)None of these

I am a fresh graduate working in a company for 3 months. I always had MBA as my plan because choosing MBA over MS was my personal opinion. For creating a good CV appearing for GMAT in 2014 i have heard working weekend with NGO gives a good impression on interviews.

Want to start something like that on weekend, what should i do, i am located in Bangalore.

my xam is scheduled on 10th Nov, Need last minute guidance.....

540 is divided among some men and women, such that each woman gets र40 and each man gets र50. How many men and women are there?I. If each woman gets र50 and each man gets र40, the total amount divided is still the same.II. The number of women are not more than six.



if statement I alone is sufficient to answer the question.

if statement II alone is sufficient to answer the question.

if either statement alone is sufficient to answer the question.

if both statements are required to answer the question.

if both I and II together also are not sufficient to answer the question and additional data are required.

There are 100 tokens numbered from 1 to 100. In how many ways can two tokens be drawn simultaneously so that their sum is more than 100?

1) 4950
2) 5050
3) 2500
4) 2550

Which of the following conditions, when satisfied, is sufficient to conclude that the system of equations ax + 3y = 30 and 2x + by = 10 has more than one solution?

1) ab
6
2) ab = 6
3) a^2 + b^2 + 37 = 12a + 2b
4) a^2 + b^2 + 37 = 12b + 2a

When n^3 - 2n^2 + mn + 1 is divided by n - 2 the remainder is 5. The value of m is _____.

4

6

5

2

3

In a certain race the winner beats the other 6 contestants by 10,20,30,40,50,60 m respectively. Find by what distance the 3rd runner-up beats 4th runner-up, if he was 11.11 m ahead of the 4th runner-up, when the first runner-up finished the race.

1) 14.14 m
2) 14.28 m
3) 16.66 m
4) 12.50 m


A sequence of numbers is written in the following fashion: 1, 7, 1, 1, 7, 7, 1, 1, 1, 7, 7, 7, ... till 'n' terms.
The sum of first 5001 terms of the given sequence is
a.5001
b.20478
c.19911
d.39822
Approach pls???😠😠

Amit, Badri and Chameli agreed to do a piece of work for र12600 on contract basis. Amit can do the work in 15 days on his own, whereas Badri and Chameli can complete the work in 30 and 45 days respectively. Amit and Badri started the work and after 5 days, Amit was replaced by Chameli. If Badri and Chameli completed the remaining work together, what is the share of Badri?

र5460

र5600

र5880

र6000

र5760



Ankur and kartik simultaneously start cycling from the same point on a circular track .while cycling in the opposite directions they meet for the first time after 30 seconds and while cycling in the same directions they meet for the first time after 75 seconds .after how much time from the start they will meet at the starting point for the first time while travelling in either directions ..?

Q: There are 2 lines 2x +3y = 4 and 4x+5y=6 ..These lines are tangent to a circle..find the radius of the circle?

approach plz😠😠

HCF of three numbers is 6 ,if the sum is 48 ,then how many triplets are possible..?

Pia and Ria simultaneously started running from point a to point b at distance of 10 km on a linear line .pia on reaching b took rest for 30 min , turned back and started running towards point a.both of them reached point a simultaneously .if the difference between their speeds is 2 kmph , in how much time will ria cover a distance of 24 km .

in a number system, the product 53 and 22 is equal to 1276. the number 4221 of this system when converted to decimal system will be?

1. 1483
2. 341
3. 4221
4. 3097

How Many points with Integer co-ordinates lie inside the triangle whose vertices are: (0,2) , (-5, -3) and (5,-3)?


a 14

b 15

c 16

d 17


Please post the approach guys....

If a1=£2, a2=£2(£2) a3=£2(£2) thn what is the value of a10/a9??

Please Share with Approach.........


a^y increases the value of a by 10 percent . find the value of y


Anyone ?