Official Quant thread for CAT 2013

Pavan, Ramesh, Sameer and Tarun had a total of र280 with them. Pavan had twice the sum of the amounts with Ramesh and Sameer. Ramesh had one - third of the sum of the amounts with Sameer and Tarun. Sameer had one - eleventh of the sum of the amounts with Pavan and Tarun. Find the amount with Pavan (in र).

100

120

140

160

Please suggest the faster method to get the answer...

There are four identical red balls and three identical blue balls. A boy picks three balls randomly from

these seven balls. What is the probability that at least two red balls are picked?

(a) 6/7 (b)18/35 (c)3/7 (d)22/35


Kindly help me out with this..
I started doing the previous years' CAT Papers 1990-2008 few months back, then left it halfway realizing that the fact the those papers were more of time based tests.
Then two days back while reading reviews of this year's paper, i read in one review saying that almost 33% questions were from previous CATs!!
With 10 days left, should i start doing those papers again? Atleast browse over all the questions?
Or continue giving tests and revise. (Which i am currently doing) 😐😐

ax^2 + bx + c = 0 is a quadratic equation with rational coefficients such that a + b + c = 0, then which of the following is necessarily true?


a) Both the roots of this equation are less than 1.

b) One of the roots of the equation is c.

c) One of the roots of the equation is .

d) Exactly one of the roots is 1.

can someone pls post a sol for this question :-

what does this represent :- sqrt [(x-2)^2 + y^2] + sqrt [(x+2)^2 +y^2] = 4

puys can u gv me some DI sets(in which during some time period some employees join n leave the job).... I am weak at those kind of DIs . embarrased

In how many ways 4 men and 4 women can sit in a row so that men and women are alternative?

In how many ways 4 men and 4 women can sit such that no 2 women sits together?

share u r approach

PL SOLVE THIS TOUGH GEO QS

ABCD is a square ana P,Q,R,S ARE MID POINTS OF SIDES.

1. FIND AREA OF AFCE.

2. PR AFCE IS A RHOMBUS OR PARALLELOGRAM.

3. CF : FP = 2 : 1

FIND THE AREA BY CUTTING THE DIAGRAM INTO EQUAL PARTS AND COUNTING HOW MANY REGIONS LIE INSIDE AFCE. ALSO DO BY OTHER METHODS

DIAGRAM IS ATTACHED

how many integers between 1 and 100000 have the sum of their digits equal to 18?


987987....upto 123 digits find d remainder when it is divided by 1001

can anyone plz upload simcats 2013

A square ABCD of side 2 cm . E is the miod point of AB , F is the mid point of BC. AF and DE intersect at I. Find the area OF TRIANGLE aei

In ΔABC, M is the midpoint of AB and N is the midpoint of AC. CM and BN meet at point O and are perpendicular to each other. The length of AB is 2√13 cm and that of AC is √73 cm. What is the length of BC (in cm)?


a)17

b)19.25

c)8

d)5




The indices of the highest powers of 5 in N! and M! are 64 and 28 respectively. Find the maximum difference between the values of N and M.

120

136

140

144

N is a three-digit natural number divisible by 11 such that the sum of its unit and hundreds digits is greater than its tens digit. What is the number of possible values of N?

f(x) is a polynomial degree of 2... and f(x)*f(1/x)=f(x)+f(1/x).. if value of f(2)=5 then f(7)= ??

Two consecutive numbers are removed from a list of first 'n' natural numbers. The average of the

remaining numbers is 64/3. What is the product of the two numbers that have been removed?

a. 210 b. 756

c. 240 d. Cannot be determined

GEOMETRY
A> 35
B>75
C>85
D>95

Four points A,B,C and D lie on a straight line in the X–Yplane,such that AB=BC=CD,and the length of AB is 1 metre. An ant at A wants to reach a sugar particle at D. But there are insect repellents kept at points B and C. the ant would not go within one metre of any insect repellent. The minimum distance in metres the ant must traverse to reach the sugar particle is

a. 3 root2 b. 1 + π c. 4π d.5

GEOMETRY

1> 10
2> 8
3> 12
4> 14
5> NOTA