Official Quant thread for CAT 2013

no. of integral solutions for x+y+z = n is C(N+2,2)......


Can anyone tell that where does this formula comes from and if there are any more formulas like this?

Amit took a car loan of Rs.3,31,000 at an intrest of 10% per annum compounded annually. The loan has to be repaid in three EQUAL ANNUAL installments. Find the amount which Amit has to pay at the end of each year.

  • 1,10,333
  • 1,21,360
  • 1,46,850
  • 1,33,100

0 voters

oshni has a 50 marks class test at 11 am. She wakes up at a random time between 10am and 12 noon, and then reaches the class 15 minutes later. If she arrives on time she will get full marks, but if she arrives more than 30 minutes late, she will get a zero, but otherwise, she loses one mark for each minute she is late. What is her expected score on the test?

(Note: She can get non-integral marks if she is late by non-integral minutes)

26,
27
27.5
28


In how many ways can 7^13 be written as a product of 3 natural numbers ??

puys.. i have finished quantitaive aptitude by arun sharma. It has got my basics correct, but i am still not aware of a lot of tricks and shortcuts.


So is there some material on "advanced quant" which I can study....I am looking for some really high level stuff

What is the largest factor of 11! that is one bigger than a multiple of 6 ??

In a bag there were a large number of stationary items- pencils,erasers and pens. A group of children was asked to pick items from the bag. The children picked up a total of 198 pencils,165 pens and 212 erasers. The maximum number of pencils, pens and erasers that any child was allowed to pick were 4,3 and 5 resp. The number of children who picked up the stationary items from the bag was the minimum possible number. What could be the maximum possible number of children who picked up only pens?
4
5
6
NOT.

Quick Formulaes to solve problems with 3 Overlapping sets
u = union and n = intersection
1. For 3 sets A, B, and C: P(A u B u C) : P(A) + P(B) + P(C) – P(A n B) – P(A n C) – P(B n C) + P(A n B n C)
2. To determine the No of persons in exactly one set : P(A) + P(B) + P(C) – 2P(A n B) – 2P(A n C) – 2P(B n C) + 3P(A n B n C)
3. To determine the No of persons in exactly two of the sets : P(A n B) + P(A n C) + P(B n C) – 3P(A n B n C)
4. To determine the No of persons in exactly three of the sets : P(A n B n C)
5. To determine the No of persons in two or more sets (at least 2 sets) : P(A n B) + P(A n C) + P(B n C) – 2P(A n B n C)

PFA,and expalin the answer.

in a triangle abc ,d is the midpoint of bc and e is the midpoint of ad,bf passes through e

what is the ratio of AF:FC

and please don't forget to explain your answers...

  • 1:2
  • 2:3
  • 1:3
  • 1:1

0 voters

The students of 3 classes P,Q and R take a test. the avg mark per student of P and Q put together is 60. Q and R put together is 64. P and R together is 72. what is the avg marks of all the classes put together?

A question from indices and surds:-

the value of (1/(1+p+q^-1))+(1/(1+q+r^-1))+(1/(1+r+p^-1)) ; given that pqr=1

and please don't forget to explain the solution...

  • 1
  • 0
  • pqr
  • p+q+r

0 voters

The avg of 16k numbers is 20. if 11k of the numbers are doubled and the remaining 5k are tripled, find % by which avg would increase.

a chord of length 32cm is placed inside a circle of radius 20cm and a point whose distance from the centre of the circle is 13 cm, is marked on the chord. calculate lengths of the segment of the chord.

21 and 11cm

19 and 13cm

16 cm each

18 and 14 cm

OA is a


gle, the lengths of the two larger sided are 8cm and 7cm. the angles of the triangle are in A.P. The length of the remaining side can be:

3cm

5cm

3 or 5 cm

none

OA is c


a circle passes through the vertex A of an equilateral triangle ABC and its tangent to BC at it mid-point. Find the ratio in which the circle divides each of the sides AB and AC.

1:1

3:2

3:1

2:1


OA is c


Can anyone suggest a good book for advanced quant prep for CAT? I've done the basic books already. Please help puys. 😃

The perimeter of a right-angled triangle is four times the shortest side. The ratio of the other two sides is

5:6
3:4
4:5
2:3

OA is C.

A circle is inscribed in an equilateral triangle and a square is inscribes in a circle. The ratio of the area of the traingle to the area of the square is:

rt3 : rt2
3 rt3 : 2
3: rt2
rt2 : 1

OA is B

ABC is a triangle inscribed in a circle. AD and AE are straight lines drawn frojm vertex A to BC parrallel to tangents B and C respectively. If AB= 5cm AC=6cm and CE= 9cm, then the length of BD equals


7.5
10.8
7.0
6.25

OA is C