Official Quant thread for CAT 2013

12 chairs are arranged in a row and are numbered 1 to 12 ... 4 men have to be seated in these chairs so that the chairs numbered 1 and 8 should be occupied and no two men occupy adjacent chairs ... find the number of ways this task can be done

  • 409
  • 360
  • 432
  • 384

0 voters

Hey, can anyone prove this ?


If A^x + B^y = C^z , where A, B, C, x, y and z are positive integers and x, y and z are all greater than 2, then A, B and C must have a common prime factor.


Please provide a detailed solution

how many distinct equilateral triangle can be formed in a regular nonagon having two of its vertices as the vertices of nonagon?.....

please explain the approach

Find the sum of the last three digits of S, where S = 871 × 873 × 875 × 878 × 881 × 883

(1) 12 (2) 5 (3) 15 (4) 9 (5) 7

There is a two-digit number, which is equal to the sum of the squares of its digits. What is the sum of the digits of that number?
(1) 7 (2) 5 (3) 6 (4) 8 (5) Such a number is not possible

Two consecutive numbers are removed from a list of first n natural numbers. The average of the remaining numbers is (64/3). What is the product of the two numbers that have been removed?
a. 210 b. 756 c. 240 d. Cannot be determined

what is the right most non zero digit of 25!

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0 voters

Two ants are crawling around a cylindrical tree trunk in a helical path (upwards and around the trunk) with different vertical speeds, one of them in the clockwise and the other in anticlockwise direction. Both the ants start from the same point on the ground and finally meet at a point, which is directly above the point where they started initially. During their complete motion, one of the ants had completed 7 revolutions around the tree while the other one had completed 15 revolutions. Between the starting and the final point, how many times did their paths cross each other?@chillfactor can u help on this

Please suggest if options given are wrong, or am I doing any mistake... It is a very simple question..

In a triangle PQR, R is the obtuse angle. The perpendicular drawn from P meets QR produced at S. QR=RS, QR=8 cm and PQ = 20 cm. Find PR.

Options are given as
3(13)^1/2
4(13)^1/2
6(13)^1/2
7(13)^1/2

Ram takes 40 steps to reach top of a moving escalator but while coming down he takes 60 steps to reach the bottom on same moving escalator. If escalator's movement is seized, then how many steps he has to take to reach the bottom from top?

If You Can Solve This Math Problem, Then A Texas Banker Will Give You $1 Million
@chillfactor saar solve this and make us proud...!
-@A

P,Q, and R are three pipes which can fill a tank in 6,8,10 hours resp. All the three are opened but P works at 1/3 its normal rate for the first 3 hours and Q works 1/4 its normal rate for the first 2 hours. In how many hours will the tank be filled???

The squares of a natural number are written in a straight line 149162536.... to form a 200 digit number . What is the 100th digit from the left. Please provide a short cut approach to this prob

The speed of 3 cars are in the ratio 2:3:4. The ratio between the times taken by these cars to travel the same distance is???


Solution With Explanation

Rs2250 is divided among 3 friends A,B, & C in such a way that 1/6th of A's share, 1/4th of B's share and 2/5th of C's share are equal. Find A's share???


Solution With Explanation


A cat takes 5 leaps for every 4 leaps of a dog, but 3 leaps of the dog are equal to 4 leaps f the cat. What is the ratio of the speed of cat to that of the dog???


Solution With Explanation


3 men rent a farm for 7000 per annum. A puts 110 cows in the farm for 3 months, B puts 110 cows for 6 months and C puts 440 cows for 3 month. What percentage of the total expenditure should A pay???


Solution With Explanation


10 students cam do a job in 8 days, but on the starting day, two of them informed that they are not coming. By what fraction will the number of days requiredfor doing the whole work get increased???


Solution With Explanation


Rs. 3000 is distributed among A,B, & C such that A gets 2/3rd of what B & C together get abd C gets 1/2 of what A & B together get. Find C's share???


Solution With Explanation


If Rs 58 is divided among 150 children such that each girl and each boy gets 25 p and 50 p respectively. Then hoe many girls are there???


Solution With Explanation