Official Quant thread for CAT 2013

In the given figure, the area of trapezium PQFE is half of the area of trapezium EFRS. If SR || EF || PQ, SR and PQ is 7 cm and 10 cm respectively, then find the length of EF.

Q1. If x, y and z are integers and x + y + z = 3, the what is the minimum value of1/x + 1/y + 1/z ?

  • -3
  • -1/3
  • 3
  • -1/5

0 voters

Pipe X pours a mixture of acid and water, and pipe Y pours pure water into a bucket. After 1 hour, the bucket got filled and the concentration of acid in the bucket was noted to be 8%. If pipe Y was closed after 30 minutes and pipe X continued to pour the mixture, concentration of acid in the bucket after 1 hour would have been 10%. What is the ratio of acid to water in the mixture coming out of pipe X?

find the sum of first fifteen terms...? .Sn=3+5+9+15+23+33+...................



share the approach

  • 1360
  • 1165
  • 1285
  • 1460

0 voters

If x+y+z=0, x^2+y^2+z^2=26, find x^4+y^4+z^4?



What is the highest possible value of 'n' for which 3^1024 – 1 is divisible by 2^n?

(a) 13 (b) 10 (c) 11 (d) 12

abcd is a four digit perfect square. the first two digits make a perfect square and last two digits make a perfect square. what is the sum of all the digits of all such possible numbers ?


a)14
b)15
c)16
d)18

There are three urns numbered 1, 2 and 3. Urn 1 has 2 black balls and 3 white balls. Urn 2 has 1 black ball and 2 white balls. Urn 3 has 2 black balls and 1 white ball. A person who is blindfolded, picks a ball from urn 1, puts it into urn 2, picks a ball from urn 2 and puts it into urn 3 and finally picks a ball from urn 3 and puts it into urn 1. What is the probability that at the end of round 1 all the urns have exactly the same composition as they originally started off with?



LR question 28, 29 , 30 This was asked in AIMCAT 1403 plz explain how to do it ?Not the TIME wala solution plz explain with any other method..

(21)^22 / 125 ,,what is the remainder ???,,I need a short method.thanks

Set A has 5 elements. And set B has 3.


a) How many functions exist between A and B

b) How many injections can be defined from A -> B

c) How many surjections can be defined from A -> B

Approach please 😃

How many natural numbers between 1 and 500 are not divisible by 7 and leave a remainder of 3 when divided by 4?


i m gettng 125 as the ans bt its 107.

help

In the given figure AB is a diameter of the circle, CD is a chord parallel to AB, and AC intersects BD at E. If the ratio of area of triangles AEB and DEC= 4: 1, then find out the value of Ө.


Two trains T1 and T2 are entering on either sides of platform P from opposite ends. Trains T1 and T2 take 20 seconds each to cross the platform and 10 seconds to cross each other. Which of the following represent the lengths of T1, T2 and P respectively?

  • 250, 300, 350
  • 275, 350, 625
  • 225, 375, 300
  • 300, 350, 400

0 voters

What is the value of x + y ? ?


I.Cube root of X * Cube root of Y=48

II.Cube root of Y-Cube root of X=2
DI Question
  • Question can be answered by either of the statements.
  • Question can be answered by both the statements together
  • Question cannot even be answered by both the statements together
  • Question can be answered by using only one of the statements and not the other

0 voters

Q5






Remainder when (1^35+2^35+3^35+4^35.....+71^35) / 35 ?

If a person has two children, and truthfully answers yes to the question "Is at least one of your children a girl?", what is the probability that both children are girls?


Answer to this should be 1/2 or 1/3? And why?

what is the diameter of the largest hemisphere that can be inscribed in a cube of edge length 1 ?

Mayank, Mirza, Little and Jaspal bought a motorbike for $60. Mayank paid one-half of the sum of the amounts paid by the other boys. Mirza pad one-third of the sum of the amounts paid by the other boys. Little paid one-fourth of the sum of the amounts paid by the other boys. How much did Jaspal have to pay?