Official Quant thread for CAT 2013

THERE IS A GROUP OF 100 PEOPLE FROM WHOM PEOPLE WHO LIKE A=20,B=9,C=20,D=15,E=4 . Minimum how many people are there who like atleast two of the following five (A,B,C,D,E) ?

OPTIONS

A)10

B)20

C)12

D)13

E)NONE OF THESE

APPROACH PLEASE

NUMER PF STUDENT PRESENT IN THE CLASS OF MANOJ YADAV IS M OUT OF WHICH 22.1875 ARE STUPIDS .IF THE NUMBER OF STUPIDS IN THE CLASS OF MANOJ YADAV IS N , WHAT IS THE MINIMUM VALUE OF M+N?

OPTIONS

A)1955

B)391

C)16200

D)1221875

APPROACH PLEASE

IN A CERTAIN RACE WINNER BEATS THE SIX OTHER CONTESTANT BY 10,20,30 ,40,50,60 METRE RESPECTIVELY .FIND THE DISTANCE BY WHICH THE THIRD RUNNERUP WOULD DEFEAT THE 4 RUNNER-UP,IF HE WAS 11.11 M AHEAD OF THE 4 RUNNER UP, WHEN THE FIRST RUNNER UP FINISHED THE RACE?

OPTIONS

a)14.14

B)14.28

C)16.66

D)NONE OF THESE

APPROACH PLEASE

A PERSON LEAVES HIS HOME BETWEEN 10 AND 11 AM AND RETURNS HOME AT 5 AND 6 PM .. WHEN HE RETURN HOME HE OBSERVE THAT THE MINUTE HAND AND HOUR HAND HAS INTERCHANGED THERE POSITIONS . at what time he arrived home ?

approach please

fifty cows can graze a find for 40 days and 40 cows can graze the same field for 80 days . some grass is already there and the grass grows at constant rate

for how many days can 60 cows graze the field (growthof grass is also there)

options

a)20.66

B)50.66

c)60.66

d)26.66

approach please

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Guys, please help me with this :)


@Dexian @techgeek2050 @Dazed-Confused @pratskool @ralins @Harmeet89

Two typist of varying skills can do a job in 6 mins if they work together. If the first typist typed alone for 4 mints ad then the second typist typed for 6 mints, they would be left with 1/5 th of the whole work. How many mints would it take the slower typist to complete the typing job working alone?

  • 20
  • 12
  • 15
  • 10

0 voters

How to find out the number of distinct meeting points on a given circular track when

(I) runners are running in the same direction

(II) runners are running in the opposite direction


f(x) is a 6 degree term with coefficient of x^6 equal to 1. f(1)=7. f(2)=10 f(3)=13 f(4)=16 f(5)=19 Find f(6) ?

How to go 4 dis qustn?

Can someone suggest me good study material in pdf format for permutaions and also probability....kindly share the link to download.....

PnC

Two variants of the exam paper are to be given to 12 students. In how many ways students can be placed in two rows of six each so that there should be no identical variants side by side and that the students sitting one behind the other should have the same variant ?

A. 2 * 12C6 * 6! * 6!
B. 6! * 6!
C. 7! * 7!
D. 7! * 6!


PnC

-- Not difficult but confusing


Seven different objects must be divided among three people. In how many ways this can be done if one or two must get no objects ?

A. 381
B. 36
C. 84
D. 174
E. 180


Seven different objects must be divided among three people. In how many ways this can be done if at least one of them gets exactly one object. ?

A. 2484

B. 1218

C. 729

D. 2424

E. None of these.

€‹

€‹


plz help me with this :

Find number of real values of x that stisfy |2x-7|+|x-5|=14

nd how to do these kind of problems in modulus ??

Approach too, please

@Combater

Guys, please help me with this 😃

@Dexian @techgeek2050 @Dazed-Confused @pratskool @ralins @Harmeet89



@Combater hope it helps

Mr. David manufactures and sells a single product at a fixed price in a niche market. The selling price of each unit is Rs. 30. On the other hand, the cost, in rupees, of producing x units is 240 + bx + cx^2 where b and c are some constants. Mr. David noticed that doubling the daily production from 20 to 40 units increases the daily production cost by 66 2/3%. However, an increase in daily production from 40 to 60 units results in an increase of only 50% in the daily production cost. Assume that demand is unlimited and that Mr. David can sell as much as he can produce. His objective is to maximize the profit.


i) How many units should Mr. David produce daily?

(1) 130 (2) 100 (3) 70 (4) 150 (5) Cannot be determined


ii) What is the maximum daily profit, in rupees, that Mr. David can realize from his business?

(1) 620 (2) 920 (3) 840 (4) 760 (5) Cannot be determined

(CAT 2007)

The number of prime numbers P such that 1999! + 1

PnC
Find the number of even numbers formed using all the digits 1, 2, 3, 4, 5 when each digit occurs only once in each number.

The number of ways in which one or more balls can be selected out of 10 white, 9 green and 7 blue balls