Official Quant thread for CAT 2013

There are nine natural numbers with mean 11, median 9 and only mode 12. Let M be the highest value among these nine numbers. What is the difference between the maximum and minimum possible value of M?

25

27

28

36

😁

x+y+Z=3 find min of 1/X+1/Y+1/Z x,y,z are integers

  • -3
  • -4/3
  • 3
  • -9/5

0 voters

p=(x+3y+5z)(1/x+1/3y+1/5z) & x+6y=6.. for what value of z, p will be min

  • 5/3
  • 3/5
  • 1/5
  • 2/5

0 voters

hey ,yesterday someone posted a very useful handa ka funda link i lost it cant find it here,if possible can he post it again

if 5x + 2y = 15 find the maximum value of x^3 * y^2 ?

find the last two non-zero digits of (120)! ?

Equilateral triangle of side 8 cm is extended to make pyramid...volume of that pyramid??

explain..find d area of the shaded region

3 runners A,B,C running in a circular track in clockwise direction which is numbered as 1 to 12 ,uniformly spaced in clockwise direction ,like the clock. A overtakes B at 5 then second time at 9. Similarly A overtakes C once at 2 then 2nd time at 4. What s speed ratio of B to C? Approach?



In a college of 525 students each of the students take atleast 2 items from idli, dosa, puri and chapati fot their breakfast. if 375 students chose idli, 375 chose dosa, 375 chose puri and 375 chose chapati, then the number of students who take all the four items is atmost.....?

how many natural numbers when expressed in base-6, base-5 and base-4 form four digit, five digit and six digit numbers respectively......?

shortcut approach

On January 1st, 2003, the average age of 11 members of a cricket team was 30 years. After four years, a player X from the team was replaced by another player Y. After one more year, player Y was replaced by another player Z, as a result of which the average age of the team then became 344/11 years. If the age of player Y is 4 years less than that of player X, then the age of player Z is how many years more/less than that of player Y?

3 years less

2 years more

4 years less

Cannot be determined

Two men and seven children complete a work in 4 days while 4 men and 4 children complete the same work in 3 days only. The number of days required by one man to complete that work is:

  • 60
  • 51
  • 6
  • 15

0 voters

in a college of 100 students each student takes atleast two items from among idly,dosa,puri and chapathi..if 75 students take idly,75 takes take puri ,and 75 takes chapathi,75 takes dosa for their breakfast the number of who take all four items is atmost and also find minimum who take all four items.

  • 50 and 0
  • 50 and 30
  • 70 and 30
  • none of these

0 voters

A and B can finish a job in 10 days while B and C can do it in 18 days. A started the job, worked for 5 days, then B alone worked for 10 days and the remaining job was finished by C in 15 days. In how many days could C alone have finished the whole job?

  • 45
  • 15
  • 30
  • 24

0 voters

This is a question that i saw in one of the mock tests that i took recently. Can someone please explain the solution to me? I don't understand how 199 when divided by 98 can yield a remainder of 96. I followed the same approach,taking 3 as the remainder and got the value of x as 66 but when i substitute this in the equation it does not yield a whole no value for y. What am i missing here

  • Check attachment
  • check attachment

0 voters

If x = (16^3 + 17^3 + 18^3 + 19

^3), then x divided by 70 leaves a remainder of


Please explain the approach. Thanks

  • 35
  • 0
  • 69
  • 1

0 voters

Seven couples go to a dance party.In how many ways can we make the dancing

couples so that no two spouses are together???

Any1 plz help me on venn diagram maximum and minimum concept........................