Official Quant thread for CAT 2013

After the addition of 35 liters of water to a can of diluted milk, the concentration of milk in the can becomes 30%. Now, further 40 liters of water is added to the can and the concentration of milk in the can gets reduced by 10 percentage points. How many more liters of water must be added to the can now such that the concentration of milk in the can becomes 8%?


a 160

b 180

c 175

d 200

e None of these

anitha attempted to add ten two digit numbers. one of them ,p, was the reverse of one of the others. if p was replaced by another two digit number q and its reverse was replaced by reverse of q and the avg was found, it would be 6.6 more . sum of the digits in q -sum of the digits in p=???/


Can anyone gimme the link where I can find old cat q papers(solved) ?

A container is having 30 L of pure milk. In the first operation, 10 L of it is replaced with 20 L of water. Again in the second operation, 10 L of resulting solution is flushed away and replaced with 20 L of water. 'n' such operations are carried out in this manner.

Q What is the volume of pure milk (in litres) in the container after (n – 1) such operations

a 30/n+2

b 60/n+2

c 60/n+1

d 30/n+1

a water purifier filter and processes water and reduces the salt content in it by 50% in 5 minutes. if water with salt content of 5% is poured into it, then in approximately how many minutes will the waterbe portable??( the salt content in potable water is at most 0.05% , assume salt decreses exponentially with tym. )

The average score in an examination taken by 52 students of a class is 85. if the scores of the best 5 performers are not considered, the avg score of the remaining students falls by 2. if, none of thefirst five high scorers is not below 80and if each of the 5 top scorers had distinct integral scores.find the maximum possible score of the topper.

  • 109
  • 193
  • 177
  • 108

0 voters

Which of the following integers cannot always yield an integer when divided by 10?

  • product of two prime numbers
  • an odd integer
  • sum of three consecutive numbers
  • integer less than 10

0 voters

in the attchd figure,
AC is perperndcular to BD and meets at E.
EA^2 + EB^2 + EC^2 + ED^2= 100,
find radius of circumscribed circle.

Alex attempted 5 papers of 120 marks each in his board exams. In Social Science, he scored a third as much as he did in all the other 4 papers combined. In Science, he scored a fourth as much as he did in all the other 4 papers combined. In Languages, he scored a fifth as much as he did in all the other 4 papers combined and in Mathematics, he scored a sixth as much as he did in all the other 4 papers combined. If Alex averaged 70% overall, how much did he score in the fifth paper, Computers?

Hey guys check out this website www.vocabulary.com This website is the best way to improve your vocab skills. It has an interactive challenge. The same word is asked in 6 different ways at subsequent intervals post which the system gives u the title that you have mastered XYZ word. Try this out. and readtheory.org for unlimited RC passages. They dont let u pass to the next level unless u score 70% of the questions correctly. Also past CAT paper video solutions(2003-2008) by Ravi Handa.







A solid sphere is cut into 16 identical pieces with 5 cuts. What is the percentage increase in the combined total surface area of all the pieces over that of the original sphere?

a 350%

b 150%

c 200 %

d 200%

e 250%

Let a. b, c, d be four integers such that a + b + c + d = 4m + l where m is a positive integer. Given m, which one ofthe following is necessarily true?

(1) The minimum possible value of a2 + b2 + c2 + d2 is 4m2 – 2m + 1

(2) The minimum possible value of a2 + b2 + c2 + d2 is 4m2 + 2m + 1

(3) The maximum possible value of a2 + b2 + c2 + d2 is 4m2 – 2m +1

(4) The maximum possible value of a2 + b2 +c2 + d2 is 4m2 + 2m + 1

Hi guys


Can you tell me which is the best online CAT prep course, especially one with a strong Quant component?

I've checked out MBAGuru and TCYOnline and they both seem fine. Are there any other resources besides these?

If x and y are real and y=under root x^2-12x+35 , then find the range of x, given that y x - 2).

  • (31/8 to infinity)
  • none of these

0 voters

Solutions for these 2 attached questions please.

x^2+y^2=1234567879...no. of solutions are??

the eight digit digital odometer of a car shows the integral distance travelled by the car similar to calculator.each of the digits from 0-9 is displayed by illuminating selected segment of grid as shown


_ _ _

|_ _ _|

|_ _ _|


for how many of the valid numbers shows by the meter,the plane reflection is also a valid number?

If the letters of the word REGULATIONS are arranged at random, the chances that there will be exactly four letters between R and E is

A telecom service provider engages male and female operators for answering 1000 calls per day. A male operatorcan handle 40 calls per day whereas a female operator can handle 50 calls per day. The male and the femaleoperators get a fixed wage of Rs 250 and Rs 300per day respectively. In addition, a male operator gets Rs 15 per callhe answers and a female operator gets Rs 10 per call she answers. To minimize the total cost, how many maleoperators should the service provider employ assuming he has to employ more than 7 of the 12 female operatorsavailable for the job?

(1) 15 (2) 14 (3)12 (4)10


Is there any way to solve such questions in an eco-friendly manner (read minimal writing)
Chip in puys and pirls :cheers: