Official Quant thread for CAT 2013

A combination of four consecutive non-negative integers is selected at random. What is the probability that the product of these four consecutive non-negative integers is a multiple of 10???😴😴

2/3

3/4

4/5

1

plz solve and explain

plz solve

A group of 12 Board Members of a company decide to have a meeting in conference hall. The sitting arrangement offered to them is of following types:
1. Isosceles triangle with 2 seats on one side and 5 each on equal sides.
2. A rectangle with 4 seats on each of the longer sides and 2 seats each on shorter sides.
Find the total number of ways in which the board members can arrange themselves

how many no lie b/w 1-100 such that all no is co prime with 100

if 2n+1=256, atleast one book and atmost n book should be selected. find no of books

plzz share approach

The sets Qp are defined as {p, p + 1, p + 2, p + 3, p + 4, p + 5, p + 6}, where p = 1, 2, 3 . . . . . 100. How many of these sets contain a multiple of 11?

In how many ways 3 committees can be formed out of 8 couples such that each committee has 1 male and 1 female member and a husband and wife can't be in same committee?


P.S. Don't have o.a.

Q How many no from 1 - 100 can be expressed as difference of two perfect squares in only one way???

f(x)=x2+12x+30; f(f(f(f(f(x)))))=0; the x=?

CAT Q:

A truck travelling at 70 km/hr uses 30% more diesel to travel a certain distance than it does when ittravels at a speed of 50 km/hr. If the truck can travel 19.5 km/L of diesel at 50 km/hr, how far can thetruck travel on 10 L of diesel at a speed of 70 km/hr?

a. 130 km b. 140 km c. 150 km d. 175 km

CAT Q

If the equation x3 – ax2 + bx – a = 0 has three real roots, then it must be the case that


a. b = 1

b. b ≠ 1

c. a = 1

d. a ≠ 1


P:s plz post approach as well... I am just cross checking whether my approach is the same. Will post a whole set of good algebra questions from last 10 years CAT...


For a function g(x) defined for all natural numbers g(1)=2520 and g(1)+g(2)+......+g(n-1)=(2n^2-3n)g(n),for all positive integers n>1.What is the value of g(10)?

a)28 b)45 c)145 d)150

Approach plz

Four sisters — Suvarna, Tara, Uma and Vibha are playing a game such that the loser doubles the money of

each of the other players from her share. They played four games and each sister lost one game in alphabetical

order. At the end of fourth game, each sister had Rs. 32.


54. How many rupees did Suvarna start with?

a. Rs. 60 b. Rs. 34 c. Rs. 66 d. Rs. 28

55. Who started with the lowest amount?

a. Suvarna b. Tara c. Uma d. Vibha

56. Who started with the highest amount?

a. Suvarna b. Tara c. Uma d. Vibha

57. What was the amount with Uma at the end of the second round?

a. 36 b. 72 c. 16 d. None of these

A man tosses a coin and wins a rupee for a head and loses a rupee for a tail. Suppose he tosses once, and quits if he wins, but tries once again if he loses on the first toss, then his expected net gain is

र0.25

र0.75

र1

0.50

र0



What should be the basic approach for solving these "find integral soln" ques ???

please help


Let x and y be two positive numbers such that x + y = 1.Then the minimum value of


(x+1/x)^2 + (y+1/y)^2 is


a. 12

b. 12.5

c. 13.3

d . 20


with approach...

Four Boys A,B,C and D start simultaneously from the 4 corners of a square field and reach a point inside the field, each of them traveling along a straight line. If the distance covered by A,B and C are 20m, 24m and 30 m respectively, then the distance covered by D is ???

approach ???

DOUBT Please Help :If a Line BD bisects an Angle ABC so is it Angular bisector ONLY ?

If R=(60+N) (2400-15N) how to find tht -60 and 160 are roots of these quadratic form.