Official Quant thread for CAT 2013

Q5

QuantExpert - Q.O.D


A tank has two compartments I and II.Two taps X and Y whose filling rates are in ratio of 2:1 are used to fill the tank.The ratio of the times taken by tap X to fill compartment I and tap Y to fill compartment II is 16:25.Find the ratio of the times taken by Tap X to fill compartment II and tap Y to fill compartment I.

  • 25:64
  • 16:25
  • 4:5
  • 64:25

0 voters

The lines with equations 2x + 3y = 24 and 3x + 2y = 6 are symmetric with respect to a line with equation y = mx + b with m > 0. Find m + b.

A. 5

B. 12

C. 17

D. 19

A test had 120 questions .Each correct answer carried 2 marks.Each wrong answer carried -1/2 marks and unanswered question fetched -1/4 marks .Find the maximum number of questions that the candidate should have answered wrongly in the test if he scored 50 marks in it.


  • 45
  • 42
  • 40
  • 48
  • 46

0 voters

Can anyone pls explain about inclusion-exclusion principle with an example.. I feel hard to digest when i went through what is given through google search
mgmg

A test had 200 questions .Each correct answer carried 2 marks.Each wrong answer carried -1/2 marks and unanswered question fetched no marks .Ajay attempted all the question in the test and he scored 360 marks.What would his marks be, if for each correct answer he got 1/2 marks and for each wrong answer he lost 2 marks?

  • 80
  • 40
  • 100
  • 120
  • 60

0 voters

There are 4 letters and 4 envelopes. In how many ways can wrong choices be made?

a: 4x4x4
b: 4! -1
c: 16
d: 4x4x4x4 -1

This one is from Arun Sharma. But i believe the Options in the question are wrong. But if someone can help, I would be grateful. A little explanation of your approach would be helpful. Thanks in advance.

seven times a number plus eleven times another is equal to 61.Then possible value of one of the number is:

  • 6
  • 2
  • 1
  • 4

0 voters

Ten children are standing in a line .Each child has some chocolate with him.if the first child attempted to double the no. of chocolate with each of the others he would fall short by two chocolates.If the second child took two chocolate from each of the remaining,he would have three chocolate less than what the first child initially had. find the total no. of chocolate from 3rd to 10th child.

  • cannot be determined
  • 21
  • 23
  • 19
  • 18

0 voters

A real number 'N' is decreased by 1/a times itself following which 1/a is subtracted to obtain N1, where 'a' is a natural number greater than 1. Same operations when performed on N1 result in N2 and so on. If Nn = 0, then find N. please explain the approach @chillfactor
a
b
c

d

Let C1 and C2 be two circles touching each other externally at R. Let L1 be a line which is tangent to C2 at P and passing through the center O1 of C1. Similarly, let L2 be a line which is tangent to C1 at Q and passing through the center O2 of C2. Suppose L1 and L2 are not parallel and intersect at K. If KP = KQ, Find the value of angle PQR.

a) 60

b) 45

c) 30

d) Can't be determined

@zuloo

51 kg should be the answer.



yea 48*6/5.6 comes to 51.4

In a race on a certain track A beats B by 10 seconds whereas B beats C by 14 seconds. If A gives C a head start of 120m on the same track then both will finish the race simultaneously. By what distance does B beat C?

It would be wonderful if someone could provide me the detailed explanation

  • 56
  • 84
  • 70
  • 144

0 voters

no of ways to select r things out of n such that no two are consecutive=C(n-r+1,r).

no of ways to select r things out of n such that no three are consecutive=?

no of ways to select r things out of n such that no four are consecutive=?



Hey. I need the solution to this problem. Help me out.
A tells B "When i was 3/5th of your present age, you were 5/7th of my present age". If the present age if A is 2B, find B's age.

if ac=bd=2 then minimum value of (a^2+b^2+c^2+d^2) is

  • 8
  • 4
  • 6
  • 16

0 voters

Triangle PQR has angle PRQ equal to 90 degrees. What is the value of PR + RQ, (if Diameter of the inscribed circle of the triangle PQR is equal to 10 cm. and Diameter of the circumscribed circle of the triangle PQR is equal to 18 cm.?

ABC is a triangle. D, E and F are points of contact of the incircle with the sides on AB, BC and CA respectively. The lengths of BE, CF and AD (in cm) are successive odd integers. The area of the triangle is 3rt15 cm^2Find the inradius of triangle ABC (in cm).

@Mak88 check the sol for ur question..

The 3 idiots are guests in rrameshvar's villa. A group of 92 friends visit his villa. They have a choice of not meeting any idiot. 60 people chat with the 1st idiot, 80 with the 2nd, and 50 with the 3rd. 40 people dare to chat with both 1st and 3rd idiot, 50 with both 1st and 2nd, and 45 with both 2nd and 3rd.


What is the maximum number of daredevils who chatted with all three idiots?

1. 55 2. 47 3. 37 4. 39


What is the minimum number of daredevils who chatted with all three idiots?

1. 25 2. 30 3. 35 4. 45