Official Quant thread for CAT 2013

if there is A is travelling at 5/8th his usual speed and reaches the market 18 mins late;his usual speed is??
ANS: 30 mins
[in this question if the decrease in speed is 3/8 the increase in time will be 3/9???.....]

@chillfactor @scrabbIer @Dazed-Confused and others...Please help me with this question. Don't have the OA..

Hundred concentric circles are drawn with radius 1, 2, 3….100 cm respectively. The region bounded by the inner most circle is labelled 1. Every region bounded by any two consecutive circles is labeled 2, 3, 4…in the ascending order of their areas. Then, what is the sum of the areas of all the regions that are labelled even as a fraction of the total area of all the regions?

@sree1167

how many +ve integers p,q,r exist such that p/q + q/r + r/p = 2.. please explain the solution



1) 1



2) 3



3) 15 Skip



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There would be no solution to this problem because we are seeking +ve integral solution for
p2r + q2p + r2q = 2pqr

But using AM>= GM we get

p2r + q2p + r2q >= 3pqr ....(i)

Since p,q,r are +ve integers hence 3pqr > 2pqr (ii)
Using (i) and (ii) we get

p2r + q2p + r2q > 2pqr

Hence, no solution.

ATDH.



amazedbypuzzles.blogspot.com

Amazing blog for puzzles.......... Enjoy thrill of solving them.......... If gmail acct is there. you can comment answers too.

Q1) In a room there are 7 persons . the chance that two of them were born on the same day of the week??? No OA ...please share your methods.. I am getting 3*(6)^5/(7)^5

an exam has 4 papers of 45 marks each. In how many ways a student can pass the exam if pass marks is 90.?

My doubt is, In this question, pass marks is 90 but max marks is 45*4=180. so what shd we do? distribute 90 or distribute the whole range 90 to 180? how? :banghead:

Q5) V anand and G kasparov play a series of 5 chess games. the prob that anand wins a game is 2/5 and kasparov is 3/5. there is no prob of draw . the series will be won by a person who wins 3 matches . find prob that Anand wins the series( The series ends the moment w/n any of the two wins 3 matches)

what is rem.when 42!/45

Q2)In a hand at a game of bridge what is the chance that the 4 kings are held by a specific player??

For positive integers x and y, 3x+8y=68
find the maximum value of x^2* y^3? 😠😠😠

a)5488 b)10024 c)9216 d)9724

How many integer pairs (x, y) are there such that x3 + 3x2 – 4x = 81y3 – 9y2 + 6y – 1?

what is the rem.N=123123123.......300 digits divided by 504.


xplain with approach

find last 2 digits of 4^123.explain the approach also

  • 64
  • 28
  • 12
  • 24

0 voters

SET X is having 2000 elements in a.p with first term being 1 and difference been 1. what is the maximum number of element SET Y can have such that sum of no two element of Y is equal to 9 or a multiple of 9 ?

OPTIONS
A)890
B)891
C)892
D)NONE OF THESE

APPROACH PLEASE

THE NUMBER of ways in which three distinct numbers in AP can be selected from 1,2,3,4....24?

options

a)112

b)132

c)124

d)146

approach please

x^2+px+q=0 & x^2+qx+p=0 hv real roots.

what is/are condition/s to has/have exactly one common root?
1. 1+p+q=0
2. p=q
3. p not eql to (-1/2)
expln plz

find the non zero interger from the right in 8330^1957 +8370^1982

@babu rao

find the non zero interger from the right in 8330^1957 +8370^1982



number solutions of the equations m^2=1614+n^2

a.1 b.2 c.5 d.none of these