Official Quant thread for CAT 2013

what is euler's number 100

The Ultimate Puzzle......... Try to solve and comment the answer here or thereπŸ‘





In how many ways is it possible to choose a white square and a black square on a chess board so that the squares dont lie in the same row or column ?

what will be the remainder when 3^101 by 77.I know the method using CRT but not able to solve using euler theorem.

How many numbers divisible by 25 can be formed with 0,1,2,3,4,5,6,7 ,if repetition of digits is not allowed.

If x,y,z are non negative integers and x=6 then find the number of solutions of 1/x +1/y = 1/z

A and B started moving simultaneously around a circular track from the same point in the same direction. A can complete 1 round in 16 seconds and B can do the same in 28 seconds . Find the time after which they would be together for the first time .a) 40 s b) 115/3 s c) 112/3 d)37 s


If f 'n' is a natural number then the greatest integer less than or equal to {(5 + root(19)) to the power n} is(a) even.(b) odd.(c) even when 'n' is even and odd when 'n' is odd.(d) even when 'n' is odd and odd when 'n' is even.

how many numbers are divisible by 501 if range is from 501 to n????

A test has 80 questions. There is one mark for a correct answer while there is a negative penalty of -1/2 for a wrong answer and -1/4 for an unattempted question. It is known that a person has left 10 questions unanswered.So how many correct answers he has given if the net score is 34.5 marks ..?

Ans is 48

If x=a^2-bc y=b^-ca and z=c^2-ab what is the value of (a+b+c)(x+y+z)/ax+by+cz


A man is going to a car auction. All purchases must be paid for in cash. He goes to the bank and draws out Rs. 25,000. Since the man does not want to be seen carrying that much money, he places it in 15 envelopes numbered 1 through 15 such that he could count any amount from 1 to 25000 using combinations of some envelopes. Each envelope contains the least number of bills possible of any available currency. (for example, no two tens instead of a twenty). The possible currency denominations are 1,2,5,10, 20, 50 and 100. At the auction he makes a successful bid of Rs. 8322 for a car. He hands the auctioneer envelopes 2, 8, and 14. After opening the envelopes the auctioneer finds exactly the right amount. How many ones (one rupee notes) did the auctioneer find in the envelopes.

In three hours Meen makes one basket more than what Reena makes in two hours . In five hours meena makes one basket less than what Reena makes in four hours. How many baskets can Meena make in an hour?

A burger makng machine makes burgers.The various fillings are added to the burgers in the following manner: The 1st, 5th, 9th...........burgers are filled with chicken; the 2nd, 9th, 16th................burgers with vegetables. ; the 1st, 5th, 9th,...........with mushroom, and the rest with plain tomato and cheese fillings. The machine makes 660 burgers per day. Hw many burgers/day are made with cheese and tomato fillings.

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In triangle ABC, AD is a line s.t. BD=CD. BE is perpendicular to AC. Angle ABD =45 deg and Angle ACB = 30 deg.Find Angle ABE?

The indices of highest power of 5 in N! and M! are 64 and 28 respectively.Find the maximum difference between values of N and M....help!!...approach please

In a test consisting of 15 questions, 3 marks are awarded for a correct answer, 1 mark is deducted for an incorrect answer and no mark is awarded for an unattempted question. If a student attempts at least one question in the paper, what is the number of distinct scores that he can get?


OA-58

My question is how to get the scores that are not possible . @chillfactor @Aizen @ScareCrow28 @scrabbler Please help !

f is a function defined on natural numbers such that2f(n) * f(2n+1) = f(2n) *[2f(n) + 1] and

8f(n) > f(2n) > 4f(n)


Find value of f(12)


1. 216f(1) + 108

2. 36f(1) + 6

3. 6f(1) + 9

4. f1 + 108

In triangle ABC, AD is a line s.t. BD=CD. BE is perpendicular to AC. Angle ADB =45 deg and Angle ACB = 30 deg.Find Angle ABE?