Official Quant thread for CAT 2013

A farmer is testing a new piece of equipment he has for determining whether an animal is a cow or a sheep. If a cow walks through the machine, 90% of the time it says it is a cow and 10% of the time it says it is a sheep. If a sheep walks through the machine, 95% of the time it says it is a sheep and 5% of the time it says it is a cow. The farmer has 5 cows and 36 sheep. If an animal walks through and the machine claims it is a cow, the probability that it actually is a cow can be expressed as a/b where a and b are coprime numbers. What is a+b?

There are 16 intermediate stations between two junctions A and B. In how many different ways can a metro train have stoppages at 3 different stations between A and B such that no two stations are consecutive (including the junctions A and B)?

220

330

240

190

440

PS: do not have OA and please provide approach

@hedonistajay 220.



@barneywaitforitstinson

How many ordered sets of positive integer triples (a,b,c)are there such that a+b×c=100?



4 answers t



1 answer t



×

Soln : 100*101/2 = 5050

There are nine identical looking balls, out of which exactly eight balls are of equal weight and the remaining ball is defective in terms of weight. What is the minimum number of times one will have to use a pan-balance to exactly locate the defective ball and whether it is heavier or lighter as compared to the other eight balls?

a)2
b)4
c)3
d)5

Do this
😁 😁 😁


@albiesriram

0 answers 338



0 answers 335



13 answers 337



0 answers 336



0 answers CBD



×

only numbers that satisfy the equation are 3>>4 and 4>>4 which is 81 and 256 respectively..add them to get 337

Manish was dividing 2 numbers by a certain divisor and obtained remainders of 437 and 298 respectively.when he divides the sum of two numbers by the same divisor ,the remainder is 236 . what is the divisor?
options-
a. 499
b.735
c.971
d.none of these
please explain in details

@ss64 getting 260 from CRT method

Can't understand the soln to this--> discount part

CP of 12 organges is equal to SP of 9 oranges and discount on 10 oranges is equal to profit on 5 oranges. What is the percentage point difference between the profit % and discount % ?

soln as given:
cp : sp
3 : 4
profit on 3 apples =re 1 --> prof%=33.33%
--> discount %= 11.11% (how and why ? )
cp sp mp
3 4 4.5
so prof is 1= 2 times discount(0.5)
so % point diff = 33.33-11.11= 22.22%

sorry if it was a very simple qstn , but i can't seem to get it ?

  • 22.22
  • 33.33

0 voters

A largest cylinder is cut from a solid cone of Radius R and height H.

find the ratio of the Volumes of the cylinder and remaining part of the cone...


My main question is how to start these questions i face huge difficulty whenever this cutting is done in the question
is there a defined 2 solve these kinds of question then kindly share it

@bullseyes

15.



for a triangle to have integer sides wd one angle as 120, following condition of sides must exist.



a= m(sq) + m.n + n(sq)



b= 2.m.n + n(sq)



c= m(sq)-n(sq)



add all three



a+b+c = (2m+n)(m+n)



for minimum perimeter. m=2,n=1



hence 15



PS : i learnt this concept a while back.



a+b+c = (2m+n)(m+n)

for minimum perimeter. m=2,n=1


How is that? please explain . also what is the general equation ? I mean the equation before putting 120 degree and derivation.

a= m(sq) + m.n + n(sq)

b= 2.m.n + n(sq)

c= m(sq)-n(sq)


@[333602:bullseyes] bhai I wanted to say that where is that are these 3 equations

a= m(sq) + m.n + n(sq)

b= 2.m.n + n(sq)

c= m(sq)-n(sq)


general equation ? or apne 120 degree ka value dalke derive kiya hai ?

aslo

"a+b+c = (2m+n)(m+n)

for minimum perimeter. m=2,n=1 " how is that ?? please explain sir ji .


Q5:

QuantExpert - Q.O.D

3 identical red balls, 4 identical blue balls and 3 identical green balls are to be arranged in a line. In how many ways are there if no two red balls and no two green balls are to be together?

The number of real roots of the equation

|1 - |x|| - (1.01)^(1.01x) = 0 is/are (a) 1 (b) 2 (c) 3 (d) none of the these



(please post the approach. dont have oa )

a and b throws one dice for a stake of rs 11, which is to be won by the player who first throws a six . the game ends when the stake is won by a or b . if a has the first throw what are their respective expectations

a 5 and 6 b 6and 5 c 11 and 0 d 9 and 2

The product of two numbers '231' and 'ABA' is 'BA4AA' in a certain base system (where base is less than 10), where A and B are distinct digits. What is the base of that system?


Please post your answer with explanation.

@Asfakul

How is that? please explain . also what is the general equation ? I mean the equation before putting 120 degree and derivation.



Sorry. I don't get you. Please explain me a little more in detail.

Hi All,


I have few questions on which i am stuck. Please help.

1. If the length breadth and height of a cube are decreased decreased and increased by 5%, 5%, and 20% respectively. Then what will be the impact on the surface area of a cube?????
( Do I need to find it for two-two surfaces ) ??

2. As salary is first increased by 25% and then decreased by 20%. The result is same as when B's salary increased by 20% and then reduced by 25%. Find the ratio of B's salary to that of A's salary.
My answer -- 10/11

OA -10/9 😠

Here is a puzzle. posting the link here. Don't see the complete video because it has the solution as well. pause it when the question ends..... 😠



In a bag, there are 6 red balls and 8 blue balls. You are sent in a dark room with that bag and you are asked to take out a ball at a time. What is the probability that the 7th ball you take out is red ?