Official Quant thread for CAT 2013

There was a tricky question on logical reasoning, which, if not encountered before, can be loopy. It goes like this: 3 men go to a hotel and pay the hotel manager a total of Rs. 30. (10 each) Later the manager realizes that the rent is Rs 25 and sends back Rs 5 via the bellboy. He then gives 1 each to the three men, which makes their net contribution Rs 9 each. The bellboy keeps the remaining Rs 2. So that makes it a total of Rs (3*9 + 2)= Rs 29. Where has the remaining Re 1 gone?

  • bell boy
  • manager
  • any other
  • cant b determine

0 voters

There are four players A1, A2, A3 and A4 in pool A. and four players b1, b2, b3, b4 in pool B.

They are arbitrarily paired in their respective pools to play against each other and one winner is decided in each pair to play in semifinal. It is known that whenever a1 plays with a2 , a1 wins the game and whenever b1 plays with b2 , b1 wins the game, then what's the probability that a1 and a2 reach the semifinals?

How many numbers between 1 and 500 can be expressed as a difference of squares in atleast one way?


5 boys 3 girls... ways in which 3 girls dont sit together


Find the remainder when 9^400+9^401+9^402………. 9^410 is divided by 6?

IN the Figure ATTACHED below find the ratio of AC:BC ?

PLEASE POST THE APPROACH TO THIS QUESTION....rolleyesrolleyesrolleyes

1+8+18+32+50...............
what will be the 18th term of this series...?
and th sum of that?

hey.. can anyone please forward me the pdf of Kaplan GMAT book!!!

find the value of 1/1(5)(9)+1/5(9)(13)+1/9(13)(17)+........upto 11 terms

  • 22/881
  • 3/121
  • 176/441
  • 11/441

0 voters

@MisSioN_CaT7 @vaibhavmahe -- check the attachment ...

In the figure , ABC and PQR are two identical tracks in the shape of an equilateral triangle. The points T1, T2, T3, T4, T5 and T6 form a regular hexagon .Amar starts from A and travels along the track ABC in that order. Bhanu starts from P and travels along the track PQR in that order.


If Bhanu's speeds is twice that of Amar, find their first meeting point.


5.

Let S be the set of all the two-digit natural numbers with distinct digits. In how many ways can the ordered pair (P, Q) be selected such that P and Q belong to S and have at least one digit in common?

4032

2720

2439

2529

Two persons A and B started simultaneously towards each other from P and Q respectively. As soon as they reached the end points they turn back to their starting points. If they have met for the first time at a distance of 100 m from Q and for the second time at exactly the mid point of PQ, what can be the distance between P and Q?

Distance between any two points should remain same. How many such points are possible?

  • 5
  • 4
  • 3
  • 7
  • 6

0 voters

Find the smallest number which when divided by 3, 5, 7 and 11 leaves remainders 2, 4, 6 and 1

respectively.

  • 104
  • 419
  • None of these

0 voters

Two people P and Q need to cross a bridge. P can cross it in 10 mins. Q in 5mins. There is a bicycle available and anyone can cross the bridge on it in 1min. Then the shortest time that both men can get across the bridge is approximately?

  • 3.77 min
  • 5.00 min
  • 2.72 min
  • 7.23 min

0 voters

In a plane, distance between any two points are same. At the max, how many such points can exist ?

IN the Figure ATTACHED below find the ratio of

AC:BC ?

PLEASE POST THE APPROACH TO THIS QUESTION....rolleyesrolleyesrolleyes

How many distinct positive integral solutions of the equation a+b+c+ab+bc+ac =89 are possible?

  • 5
  • 3
  • 10
  • 6

0 voters

@jp_1991 bhai dis is one detailed ex. cum approach. Hope it will be of some help.