Official Quant thread for CAT 2013

Puys who have decided not join IIFT Kolkata, kindly drop your withdrawal mails as early as possible. Failure to do so might mean people like me missing out an opportunity for an early convert. In my case it might mean joining K(yeah still optimistic of a convert) after the start of the classes after paying 3 months notice period amount to the company. For others it could mean a decision of taking a drop of another year.
So a sincere on behalf of still waitlisted guys, to please drop your withdrawal mails as soon as possible.
Thanks in advance.


K is a three digit number such that ratio of the number to the sum of the digits id least.

The diff. between hundred and tens digit of K is 8 and diff. between tens and units digit is 0.

For how many values of K will the ratio be highest???

What is the area of the triangle in which two of its medians is 9 cm and 12 cm long, intersecting at right angles ??

In a triangle the longest side is 20 cm and its other side in 10 cm... Area is 80 cm square.. what is the length of the 3rd side ??

options - _/260 , _/270, _/240, _/250

ABC is a right angled triangle in which AB is the hypotenuse. N is a point inside the triangle which divides the triangle ANB, CAN and BCN into equal areas... what is the distance between the point N and the circumcentre... ??

Solution @ayushbhalotia

if you form a subset of integers chosen from between 1 to 3000 such that no two integers add up to a multiple of nine , what can be the maximum number of elements in the subset (include both 1 and 3000)

  • 1332
  • 1336
  • 1333
  • 1668

0 voters

Bill and Clinton take the square of a certain decimal number and express it in base 5 and 6 respectively. Then Bush comes and he takes the two representations and assuming that the expressions are in base 10, adds the numbers. Which of the following cannot be the value of the unit's digit of the sum obtained?
1. 0
2. 2
3. 8
4. 6
5. 3

What is the minimum value of x^3 + y^3, if (x+1)^3 + (y+2)^3= 27 for where x, y are distinct positive real numbers?

Can someone provide me link to cl test series going on this year. ..........

find the minimum value of |x-2| +|x-5|+|x-8|+|x-10|+|x-12| ?


  • 8
  • 12
  • 15

0 voters

@dream_IIMA

find the minimum value of |x-2| +|x+5|+|x-8|+|x-10|+|x-12| ?

0 answers 1) 8



2 answers 2) 15



0 answers 3) 12



×

approach batao plz koi


AD, BF and CE are the altitudes of triangle ABC. If AB = AC = 25 cm and BC = 30 cm, what is the length of EH?

@oldkool

If k is a natural number such that 1≤ k ≤ 78, for how many values of k is the tens digit of 31k equal to 6?



ans with solution please !!! from Proc-mock 2

sorry puys ... in hurry I posted the question incorrectly .. ERRATA: it should be 31^k mg ain't we get wrong questions on CAT and XAT,,,

Remainder of (12^107)/37...plz xplain

Q1

QuantExpert - Q.O.D

In a horse race, there were 18 horses numbered 1-18. the probability that horse 1 would win is 1/6, that horese 2 would win is 1/10 and that 3 would win is 1/8. assuming that a tie is impossible, find the chance that one of the three will win?


1. 47/120
2. 119/120
3. 11/129
4. 1/5
4/ none

😉

This was a question posted by @hexagon .

@Dazed-Confused @JanardanJakad @chillfactor ... Guys can you please let me know where am I going wrong ? The OA is 1001. I am getting 1001/5

How many numbers smaller than 2x10^8 and are divisible by 3 can be written by means of the digits 0,1,2(exclude single digit and double digit)?
4369

4353
4373
4351

splat

Arranging the letters of the word DISCUSSION what is the probability that all vowels are not together?