Official Quant thread for CAT 2013

Given that

x

is a real number satisfying

⌊Floor(x+11/100⌋)+⌊Floor(x+12/100⌋)+…+Floor(⌊x+90/100)⌋=331,

what is

⌊100x⌋

?

1.How many distinct real roots does the following equation have?

3 (cuberoot(3x-2))=x^3+2

2. Two players play a game starting with a pile of n stones. The players take turns removing stones from the pile. On their turn they are allowed to remove 1 stone from the pile, 2 stones from the pile, or half the stones from the pile, provided the number of stones in the pile is even. The player who wins is the player who makes the last move (i.e. removes the last stone). If the values of n can be any number from 1 to 500, determine for how many of these games the first player can win the game if he plays optimally.

3. A school is running a raffle for two prizes. 59 tickets were sold for the raffle, numbered 1,…,59. All the tickets are put into a hat and a teacher picks out two tickets which have numbers i and j from the hat. What is the expected value of |i−j|?

f(x) = x² + bx + c where b, c are real numbers.

If one root of f(x) is √2 + 1, then find the other root.


Team BV--Pratik Gauri

For any real number α, the parabola fα(x)=2x^2+αx+3α passes through the common point (a,b). What is the value of a+b?

I know this is really late but i am shit scared of quant and need help! Can someone tell me what book should i refer and how do i prepare? And also i can just manage only 2 hrs a day!embarrasedembarrased

The sum of the base-10 logarithms of all positive divisors of 10^n is 1274. What is n ?

Ajit can do as much work in 2 days as Baljit can do in 3 days and baljit can do as much in 4 days as Daljit in 5 days.A piece of work takes 20 days if all work together.How long would Baljit take to do all the work by himself?

1) 82 days 2) 44 days 3) 66 days 4) 50 days 5) 46 days

Please explain 😠

Let Q be the quotient obtained on dividing 31^29 by 41. Then Q is divisible by

6

15

21

None of these

Can anybody tell me the logic behind the questions which says ... while going to the office a person met with an accident ...so he reached 20 mins late .. had the accident occured after 10 kms from the actual accident spot he would have reached .. 10 mins earlier ?? plz explain someonembarrased

GOT THIS ONE IN MY CAT SLOT LAST YEAR HAVE A LOOK


A WANT TO REACH B ..BUT IT CAN EITHER MOVE IN NORTH DIRECTION OR IN WEST DIRECTION . IN HOW MANY WAYS IT CAN REACH B . ??

Find the range of values of 'x' that satisfy the inequality

log a (b) >0 (===> a is the base)

where,

a=x^2-4x+4

b=(|x+1|-|x|)/(x-1)


Sorry no options!!!

In a survey of 100 people were asked their favourite Holiday spot in India among Kulu, Manali or Ooty. All people had at least one of these three spots as their favourite one.90 name Kulu as their favourite; 80 named Manali as their favourite and 80 named Ooty as their favourite.

-

Determine,

1. Maximum number of people who could have named all three places as their favourite

2. Minimum number of people who could have named all three places as their favourite

3. Maximum number of people who could have named exactly two places as their favourite

4. Minimum number of people who could have named exactly two places as their favourite

In a class of 200 students who play cricket and hockey, the number of students who play neither of the games is 16 less than those who play both. The number of students who do not play cricket is 24 more than those who DO NOT play hockey. Find the number of students who play hockey

In a school, 40% of the students draw and paints. 40% of those who draw don't paint. If the students do one of the two, then what % of students paint?

30% of the crowd at a mall is >25 years and 80% of the crowd is , then what % of Adidas visitors are

Hi All,
Address this question.

Q. Weight of the iron bucket increases by 33.33% when filled with water to 50%. of its capacity.
Which of these may be 50% of weight of bucket when it is completely filled with water. ( assume weight and capacity of bucket in integer )

OA = 5.

Question ! Easy one but time consuming if not practiced well :)


Q. Due to 25% hike in price of rice per Kg. A person is able to buy 20KG less in 400 Rs.
Find the increased price of rice ??


Q4:

QuantExpert - Q.O.D


There are 2 sisters among a group of 20 persons. In how many ways can the group be arranged around a circle so that there is exactly one person between the two sisters?