Official Quant thread for CAT 2013

In a Blind Dating event, the participants comprise 'm' guys and 'n' girls (m > n).
Each
of the m guys gets to spend exactly 4 minutes with each of the n girls (any excess unpaired guys during any round await their turn). At the end of the event, each female has to submit a list of the males that she would like to meet again (which could even be all of the males, or none of them).

In how many different ways could the final lists be made by the girls?

1) mn
2) nm+1

3) 2^mn
4) (m+1)n

The integers 1,2,...... 40 are written on a blackboard. The following operation is then repeated 39 times; in each repetition, any two numbers, say a and b, currently on the blackboard, are erased and a new number a+b-1 is written. What is the number left on the board at the end? (CAT 2007)

  • 781
  • 819
  • 821
  • 820
  • 780

0 voters

A man standing at the bottom of a staircase starts tossing a coin. Every time it shows Heads, he climbs two steps, while every time it shows Tails he climbs one step. After a while, he finds that he has climbed 8 steps. How many possible sequences of Heads and Tails could he have thrown?


1) 256

2) 28

3) 36

4) 34

After striking the floor, a ball rebounds to 4/5th of the height from which it has fallen, Find the total distance that if travels before coming to rest if it has been gently dropped from a height of 120 metres.

If x and y are integers then the equation 5x + 19y = 64 has (CAT 2003)

  • no solution for x < 300 and y < 0
  • no solution for x > 250 and y > - 100
  • . a solution for 250 < x < 300
  • a solution for -59 < y < -56

0 voters

Can anyone suggest me book for DI preparation?


Not able to attempt a single correct quesytion in Aimcat series and CL series

PLease helpmg

A is a 4-digit positive integer and B is the 4-digit positive integer formed by reversing the digits of A. If A – B is greater than zero and is divisible by 45, then find the number of possible values of A.

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?


A man buy shares at a discount of Rs. x. Later he sold all but 10 of the shares he purchased at a premium of Rs. x. If his investment was Rs. 4,500 and proceeds from the sale were Rs. 6,250, then how many shares did he buy originally? [Assume the face value of shares as Rs. 100.]

P,Q,R can do a certain work in 6,7,14 hours respectively.they together start the work at 10.00am. P leaves after 2 hours and Q leaves 20 mins before the completion of work.at what time is the work completed ??

If n is a natural number, find the possible terminating digits of n^2 + n in base 5.

two athletes X and Y simultaneously start walking from points P and Q towards Q and P respectively. Points P and Q are diametrically opposite points on a circular track. Both of them take the same segment of the circular road joining X and Y. they meet at a point R, after t hours.From R, X takes ta hours to reach Q and Y takes tb hours to reach P. Find t.

My ABN AMRO ATM Pin is a four-digit number. My HDFC BANK ATM Pin is also a four-digit number using the same digits, in a different order, as those in my ABN AMRO Pin. When I subtract the two numbers, I get a four-digit number whose first three digits are 2, 3 and 9. What is the unit digit of the difference?

Profit, Loss & Discount : Nishit Sinha

If I get enough likes, I'll keep uploading other chapters from the book.







Guys someone pls solve this question on Games and Tournaments.....
It would be helpful if u could explain the funda as well....

A piece of wooden board is in the shape of an isoceles right angle triangle.Sides being 1,1,root(2).It is to be sawn in 2 pieces of equal area.Find the length of the shortest straight cut.
OA is root(root(2)-1).Need approach.

Q. A PUBLISHER PRINTED 2000 COPIES of a book at cost of 2400/-
he gave 500 copies to head of the institutions .he allowed a discount of 25% on the published price n gave one extra for every 24 copies bought at a time.he sold all the copies in that manner. if the published price is 3.25/-, find his gain or loass %?
please share the approach!

  • 46.25 % loss
  • 46.25% gain
  • 92.5% gain

0 voters

If the product of 112 and 41, both in base 10, is 32552 in some base, find the new base.

Please help me with how to approach such questions.

  • 8
  • 5
  • 4
  • 6

0 voters

what is remainder when 198! is divided by (71! * 126!) ??? can nyone explain logic??

'S' matchsticks can be arranged in an integral number of squares comprising 4,5 or 6 matchsticks on each side with no matchsticks left out. What is the minimum number of match sticks??
A) 60
B) 240
C) 360
D) 120
E) 180