Official Quant thread for CAT 2013

Two players, Sita and Gita, are playing a game of canceling numbers sequentially from 1 to 100 by taking turns. In any given turn, a player has to cancel a minimum of 4 numbers, but not more than 11 numbers. The player who cancels the number 100 loses.

Question 13

13.

If at the end of a certain turn, Gita has cancelled the number 69, how many more numbers should Sita cancel in her next turn so as to ensure that she wins irrespective of how the game proceeds after that? no oa

There are 80 balls which look identical. All the balls are of same weight except one which is heavier. In how

many minimum weighing with a bean balance can you find the heavier ball?

4

5

6

7??

City Bus Corporation runs two buses from terminus A to terminus B, each bus making 5 round trips in a day. There are no stops in between. These buses ply back and forth on the same route at different but uniform speeds. Each morning the buses start at 7 AM from the respective terminus. They meet for the first time at a distance of 7 km from terminus A. Their next meeting is at a distance of 4 km from terminus B, while traveling in opposite directions. Assuming that the time taken by the buses at the terminus is negligibly small, and the cost of running a bus is 20 per km, find the daily cost of running the buses.

How many different flags can be made with 5 different strips using them any number at a time?

Q.

70. How many whole numbers between 100 and 800

contain the digit 2?


A number is interesting if on adding the sum of the

digits of the number and the product of the digits of

the number, the result is equal to the number. what

fraction of numbers between 10 and 100 (both 10

and 100 included) is interesting?

A. 0.1

B. 0.11

C. 0.16

D. 0.22

E. None of the above


  • 0.1
  • .11
  • .16
  • .22
  • none of the above

0 voters

A motorboat, whose speed is 16 kmph in still water, goes 32 km downstream and comes back in atotal of 5 hours 30 minutes. What is the speed of the stream (approximately)?

  • 5.6kmph
  • 19.6kmph
  • 14.8kmph
  • 8.4kmph
  • 7.8kmph

0 voters

In an objective exam of 200 questions, 1 mark is allotted for every correct answer and 1/4 mark is deducted for every wrong answer. Find the distinct net scores that a student can obtain in the examination after attempting all the questions.

1) 993 2) 995 3) 1001 4) 1002 5) None of these

A sum when lent at a certain rate of interest compounded annually amounts to ` 8,000 in 3 years andwhen lent at thrice the previous rate of interest amounts to ` 10,648 in the same time. What is the rateat which it was initially lent?

  • 100/19%
  • 115/19%
  • 4%
  • 31/7%
  • 25/4%

0 voters

Krishna and Karan competed in a 2000 m race. Krishna gave Karan a head start of 300 m and hisspeed was twice that of Karan. When Karan reached the 800 m mark, Krishna reduced his speed byhalf but still beats Karan by 150 seconds. What was the speed of Karan?

  • 3 m/s
  • 2/3 m/s
  • 2 m/s
  • 5/2 m/s
  • 1/3 m/s

0 voters

X, Y, Z start from place A at 5 kmph, 8 kmph and 11 kmph respectively. If Y starts 2 hours after X,how many hours after Y should Z start, so that both Y and Z overtake X at the same time?

  • 16/11 hrs
  • 11/5 hrs
  • 10/11 hrs
  • 5/16 hrs
  • 2hrs

0 voters

The average of 15 distinct positive integers, arranged in ascending order, is 35. If the average of thefirst eight integers is 20 and the average of the last eight integers is 49.625, what is the eighth integer?

  • 39
  • 32
  • 54
  • 42
  • 58

0 voters

If the equation x^2 + b|x| + c = 0 has exactly three real roots then find the necessary conditions and the roots of this equation? ( where b, c & x are real numbers and |x|>= x )


When I distribute some chocolate to my 40 students three chocolates are left . If I distribute the same number of chocolates to my students and my colleague Manoj , seven are left.Find the minimum nuber of chocolates I have? Please share approach

  • 1480
  • 1443
  • 1476
  • not

0 voters

Find the set of co prime factors of N=2^3*5^3? Please share approach

  • 12
  • 24
  • 11
  • not

0 voters

if g(2,2)=2
g(a+1,b)=g(a,b)+2a
g(a,b+1)=g(a,b)-2b

find g(1007,1006)
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Any AFCAT aspirant?

The sum of digits of 4444^4444 is A .

The sum of digits of A is B .

Find the sum of digits of B ?


Post the answer with your method !