Official Quant thread for CAT 2013

a quadrilateral ABCD has two diagonals intersecting at O . which create 4 triangles. area of triangle ABO is 5. area of triangle CDO is 20. area of rest of the two triangles are the same. what would be the area of any of them.

  • 17.5
  • 9
  • 10
  • 15

0 voters

A+B=130 where all the values are in base 8

A-B=20 where all the values are in base 8
what are the values of A & B
  • 60,44
  • None of these
  • 64,44
  • 62,42

0 voters

A goes to buy fruits and is able to get the prize of a dozen apples reduced by Re 1 from the initial price, thereby enabling him to get 1 apple extra for every rupee saved. What's the initial price?


@Dazed-Confused ??? @sagarcat

For any set of n positive numbers ,


Arithmetic Mean >= Geometric Mean >=Harmonic mean


The equality occurs only when all the numbers are equal .


This can be used if the sum(or product ) of some numbers are given and the maximum(or minimum) value of the product(or sum ) is asked ...


Ex : xy=27 minimum value of 3x+4y ?


taking 3x and 4y to be two numbers and applying our rule


A.M : (3x+4y)/2 G.M : (12xy)^1/2=(4*3*27)^1/2 = 18


A.M >= GM3x+4y >= 2*18


Hence the minimum value of (3x+4y) is 36

The integers 1, 2, …., 40 are written on a blackboard. The following operation is then repeated 39 times: In each repetition, any two numbers say a and b, currently on the blackboard is erased and a new number a + b - 1 is written. What will be the number left on the board at the end?




Ashish is studying late into the night and is hungery. He opens his mothers, snack cupboard witout switching on the lights, knowing that his mother has kept 10 packets of chips and biscuits in the cupboards. He pulls out 3 packets form the cupboard, and all of them turn out to be chips. What is the probability that the sanck cupboard contain 1 packet of biscuits and 9 packets of chips?

A. 6/55 B. 12/73 C. 14/55 D. 7/50

The equation 7x – 1 + 11x – 1 = 170 has

A. no solution B. one solution C. two solutions D. three solutions

The probability that in a household LPG will last 60 days or more is 0.8 and that it will last at most 90 days is 0.6. The probability that the LPG will last 60 to 90 days is

A. 0.40 B. 0.50 C. 0.75 D. None of the above

how many numbers between 251 and 750 are divisible by 3 or 12 but not by 9 or 25

Ram Narayan has Rs. 18.75. Find the number of ways in which he can divide Rs. 18.75 in exactly 85 coins consisting of 50-paisa, 25-paisa and 10-paisa coins?

(1) 3

(2) 4

(3) 5

(4) 8

(5) 7



any simpler approach please?
😠

How to approach...? OA-c

2x+y+z=20 how many non negative solution exists...

In triangle ABC.. P and Q are mid points of AC and AB....From P and Q two lines are drawn such that they intersect at R and pass through side BC intersect at G and H respectively.....Also PG=GR and HQ=HR....
ratio of triangle PQR:ABC .....


please any one EXplain.....



Problems A, B and C were posed in a mathematical contest. 25 competitors solved at least one of the three. Amongst those who did not solve A, twice as many solved B as C. The number solving only A was one more than the number solving A and at least one other. The number solving just A equalled the number solving just B plus the number solving just C. How many solved just C?

(1) 2

(2) 4

(3) 6

(4) 8

The roots of the equation x2 + bx – 14 = 0 are x1 and x2. If 4x1 + 3x2 = 13, then which of the following may be true?

1. b = -31/12

2. x1 = -2

3. x2 = 14

4. Either (a) or (b)

Puys can u tell me the registeration dates of FMS Delhi???

in a triangle ABC Point D lies on AC such that AD=3CD.....E lies on BD,DE=2BE.....what is the ratio area ABE:ABC???.......

f(x) = 0 is a quadratic equation that has two distinct real roots, opposite in sign. The roots of f(x) + f(–x) = 0 are

1. Imaginary

2. Real, equal in magnitude and opposite in sign

3. Real, not equal in magnitude and opposite in sign

4. None of these

an octagon is inscribes in a circle. what ll be the rations of the areas of octagon and the circle.

In how many ways can 4 couple can be sitted along a circular table such that people of same gender do not sit in adjacent position & exactly one of the 4 couples sit in adjacent position. OA--if 4c1*2*3!