Official Quant thread for CAT 2013

The manximum possible value of x^2+4y^2+9z^2 is N. What is the vaue of N if x+2y+3z=12 ??


x,y,z belong to R..

224
16
4096
Infinite

Let a1,a2,...a10 be in AP and h1,h2,...h10 be in HP. If a1-h1=2 and a10=h10=3, then a4h7 is


2
3
5
6

A tank of capacity 1000 cubic centimeter is being filled with water by 3 pipes A, B and C. The areas of cross-section of the pipes A, B and C are in the ratio 3: 2: 4. Water is flowing through each of these pipes at a different rate (in cm/min). It was found that the time taken to fill the tank, which was initially empty, by the pipes A, B and C individually is 20 min, 50 min and 25 min respectively.

Find the ratio of the rates of flow of water through the pipes A and C?

guys small doubt!!!


what is the discreminate for ax^3+bx^2+cx+d=0

What is the maximum value of a if a+b+c=8 and ab+bc+ac=5 ?


3*root of 6
22/3
1/2
NOT

what are the important quant topics for cmat??


A steals x number of diamonds from Mr B house and on his way to home he meets three more robbers X,Y and Z. he gave 2/3 of the diamonds he stole to each robber and the robber gave him 6 diamonds back. WHat is the maximum percentage of diamonds he can have as a share of the diamonds he stole after his transactions with all the robbers ?

Find the number of 3 digits numbers that are divisible by 11 and have sum of digits also divisible by 11.

A contains 6 white 7 black balls. B contains 8 white 6 black balls. a person draws a ball randomly from any one of the A and B. It turns out to be black. What is the probability that it was drawn from A.

@ahsish9virgo @placiddisciple

A contains 6 white 7 black balls.B contains 8 white 6 black balls. You draw a ball randomly from any one of them and it turns out to be black. what's the probability that it was from A.


@ahsish9virgo @placiddisciple

16 identical fruits are to be distributed among three identical boxes in such a way that no two boxes get the same num of fruits. if each box gets atmost half the total number of fruits and atleast one fruit. in how many ways the fruits can be distributed? a)11 b)5 c)8 d)9

remainder when 21^22 is divided by 125?

a) 21 b)61 c)41 d)91

ans is 91
what cud be the simplest method to solve this?

What is the sum of the last two digits of (2^3+3^3+4^3)^125


I asked my new girlfriend her age. She told me the following things and told me to guess her age


My age can be spilt in two distinct two digit number such that 24 times the difference of the numbers is equal to difference of the squares of those numbers? I am confused please help me find the right age @placiddisciple @sannidhya87

A function f is defined for all whole numbers f(a+b)= f(a)+f(b)+2ab it is also known that f(3)=15 f(5)=35 what is f(1)

One day, Ram, Shyam and Tarun started from town P and traveled towards town Q . Ram started at 8:00 am at 60 kmph . Shyam started at 80 kmph at 10:00 a.m. Tarun started a bit later at 90 kmph. Both Shyam and Tarun overtook Ram simultaneously . Find the time When Tarun started?


Total no. of factors of a no. is 24 and the sum of its 3 prime factors out of four is 25. The product of all 4 prime factors of this no. is 1365.Then such a greatest no possible is:
a) 17745 b)28561 c)4095 d)cant be determined.
approach plz.

in a certain colony of rabbits ,each rabbit gives birth to four new rabbits every year. how many new rabbits will be born from a single productive rabbit if this reproduction rate continues for 10 years and it is known that only 75% of the new rabbit are capable enough to produce the next generation of rabbits

a)3^10 - 1
b)3^11 - 1
c)2(3^10 - 1)
d)2(3^9 - 1)

the sides of cyclic quadilateral are 9,10,12,16.if one of the diagonal is 14 . what is other diagonal?

options
a)20
b)16
c)17
d)18

approach please

find the last digit of 62^43^54^65^76^87...

options
2
4
6
8
none of these

approach please