Official Quant thread for CAT 2013

Functions..!!!😠😠😠

@c2c

Functions..!!!



is 152 the answer ?


Logs ..!!!

find the number of integer points lying in the interior of the region

Bounded by the x-axis,the y-axis and the graph of the equation 2x+3y=18
also share approaching method.

What is the thousand digit in the sum of 1+11+111+1111...........(45 digits)


I guess the answer is 6? Is it

Ram and Sham have different number of balls. If Ram gives some balls to Sham, then Sham will have four times as many as Ram has. But if Sham gives the same number of balls to Ram, then Sham will have three times as many as Ram has. How many balls does Sham have?

1. 9

2. 12

3. 15

4. 60

5. Cannot be determined

Which one of the following cannot be the ratio of angles in a right angled triangle?

1. 1 : 2 : 3

2. 1 : 1 : 2

3. 1 : 3 : 6

4. 1 : 3 : 4

5. 2 : 3 : 5

In an election between two candidates, one gets 55% of the total valid votes, where 15% of the votes are invalid. If the total number of votes are 8000, what are the number of valid votes that the other person gets?

1. 3160

2. 3090

3. 3060

4. 2910

5. None of these

Averages...!!!


India and Brazil play the Soccer World Cup final in which India defeats Brazil 4 – 2. In how many

different ways could the goals have been scored given that Brazil never had a lead over India during

the match?

(a) 9 (b) 10 (c) 8 (d) None of these

If the integers 'm and 'n are chosen at random from 1 to 100, then the probability that a number of the form 7^m + 7^n is divisible by 5 is

Easy one.. but i got confused with the funda behind it...


There are 7 Identical Orange bars, 9 Identical Red bars and 8 Identical Yellow bars.
How many ways are there to give a person 2 orange bars, 5 red bars and 3 yellow bars.

Explain the approach

There are m blue vessels with known volumes v1, v2,.... vm, arranged in ascending order of volume, where v1 >0.5 litre, and vm minimum number of empty white vessels, each having volume 1 litre. The water from a blue vessel is not emptied into a white vessel unless the white vessels has enough empty volume to hold all the water of the blue vessel. The number of white vessels required to empty all the blue vessels according to the above rules was n.


Among the four values given below, which is the least upper bound on e, where e is the total empty volume in the n white vessels at the end of the above process?


m*vm

m(1 – vm)

m*v1

m(1 – v1)





What is the number of non negative integer solutions for the equation x^-xy+y^2=x+y


3
4
1
NOT

In a right angle triangle angle C =90. AE and BD are two medians of a triangle ABC meeting at F. The ratio of the area of triangle ABF and the quadrilateral FDCE is.

soln. pls

  • 1:1
  • 2:1
  • 1:2
  • 2:3

0 voters

in how many ways can 72 be written as a product of 3 positive integers? please elaborate.

can anyone suggest which book is better for qa.... quantum cat or arun sharma

What is the number of common terms in the two sequences given below?

S1 ≡ 4, 10, 16, 22, …., 562.

S2 ≡ 3, 8, 13, 18, …., 573.

In x-y plane, a circle passes through the points (2, 5) and (–4, 13). The radius of the circle is of length 6 units.

How many such circles are possible ?


If N is a real number, is N an odd integer?

I. N / 32013 is an odd integer.

II. 32013 × N is an odd integer.

A)if the statement can be answered with the help of any one statement alone, but not with the help of the other statement alone

B)if the question can be answered with the help of either statement alone

C)if the question can be answered with the help of both statements together

D)if the question cannot be answered even with the help of both statements together