Official Quant thread for CAT 2013

find the number of integer values of x for which (3x+7)^2/x+4 which also should give a integer???

In a college, where every student follows at least one of the three activities- drama, sports, or arts- 65% follow drama, 86% follow sports, and 57% follow arts. What can be the maximum and minimum percentage of students who follow all three activities exactly two activities ?

a circle whose area is 2/pie.. a rectangle inscribed in the circle find the perimeter of the rectangle??

A number written in base B is represented as 2-digit number A2 where A = B-2 . What would N be represented as when it is written in base B-1 ?


@hexagon @Dazed-Confused

Please explain the attached

given f(x)=x*f(x-1) for any natural number x,if f(x+2)=20*f(x), then what is the value of x

options

2

4

5

non of these

From a bag containing 4 white and 5 black balls a man draws 3 at random.what are the odds against these being all black?
a)5/37
b)37/5
c)11/13
d)13/37
e)5/32
Please let me know the solution with steps.

Amit throws three dice in a special game of Ludo.If it is known that he needs 15 or higher in this throw to win then find the chance of his winning the game>?
1)5/54
2)17/216
3)13/216
Solution with steps please

what will be the remainder of the 2000th term of the series 12233344445555666666........ when the term is divided by 5?

  • 3
  • 2
  • 1
  • 4

0 voters

Two fair dice are thrown .Find the probability of getting
1)A number divisible by 2 or 4
a)1/2
b)3/4
c)1/3
d)2/3
e)1/4

Given below are five sentences or parts of sentences that form a paragraph. Identify the sentence(s) or part(s) of sentence(s) that is/are incorrect in terms of grammar and usage. Then, choose the most appropriate option. A. I left home for Glasgow when I was 18. B. Edinburgh was much nearer, but Glasgow was where I wanted to be − an ambition born in boyhood when visits to relatives meant passing through a city where trams queued in the streets and ships filled the river, and a shop called the Clyde Model Dockyard always had a crowd of fathers and sons looking in at the window. C. Of course, by the time I was 18 I knew about the other stuff − tenements, poverty and crime − but none of it detracted the prospect of living there. D. I was a Fife boy who wanted to be a Glaswegian, to be part of this great black city that seemed inexhaustibly interesting. E. Hemingway and his friends invested no greater emotion to Paris.

Add to my

aA and B

bC and D

cC and E

dB and E

@Mr.WisePants , approach.

Sets A, B, C and D are all subsets of quadrilaterals. A is the set of rhombi, B is the set of rectangles, C is the set of parallelograms, and D is the set of kites. What is the set (A ∩ B) U (C ∩ D)



a.square b.rhombi c.rectangle d.parallelogram.

if A n B are two points in x y plane sch tat A=(2,3) n B=(-8,6) and P is a point sch that angleAPB=90 and area of triangle APB=24 then how many sch points in P exist?? 0 2 4 or more than 4.. explanation plz..

A sum doubles itself in one year at a certain rate of interest, compounded annually. In how many years will a sum become six times itself under the same investment scheme?

a3

b2.5

clog62

dlog26


Guys is there any funda way for finding no of pairs (a,b) un-ordered whose LCM is given, say a^2*b^3*c^4 ? 😠😠

P and Q are the points on the side BC, R and S are on the side CA, and T is on the side AB of a ∆ABC such that P and Q trisect BC, and CR:RS:SA = 1:1:2. T bisects AB. If area of the triangle ABC = M sq. units, the area of pentagon PQRST is

a )M/3

b M/4

c 2M/3

d 3M/4

e M/2


plz post solution..

y = (20-2x)(20-2x)x max value ? x is positive and

@MisSioN_CaT7

P and Q are the points on the side BC, R and S are on the side CA, and T is on the side AB of a ˆ†ABC such that P and Q trisect BC, and CR:RS:SA = 1:1:2. T bisects AB. If area of the triangle ABC = M sq. units, the area of pentagon PQRST is



a )M/3



b M/4



c 2M/3



d 3M/4



e M/2



plz post solution..





@MisSioN_CaT7

Answer the question on the basis of the information given below.
K1, K2, K3 …K30 are thirty toffees. A child places these toffees on a circle, such that there are exactly 'n' toffees placed between K(i) and K (i + 1) (i = 1, 2, 3 … 29). No two toffees overlap each other on the circle.

What can be a possible value of 'n'?