Official Quant thread for CAT 2013

There are 6 boxes containing A, B, C, D, E and F marbles respectively,where A

a 16

b 11

c 32-OA

d 12

Seven runners , A,B,C,D,E,F,G started from the same point at the same time, with speeds that are in the ratio 1:2:3:4:5:6:7 respectively and are running a race around a circular track.

A,C,E and G run in the same direction , while the remaining run in the opposite direction . At how many distinct points on the track does A meet any other runner ?
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In the adjacent figure, the triangle PQR is divided into 6 parts, the area if four parts is indicated. Find the area of triangle PQR?


On january 1 , 2003 , the average age of 11 members of a cricket team was 30 years. After 4 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 tam then became 378/11 years. If the age of the player Y is 4 years less that of player X, then the age of player Z is how many years more/ less than that of player Y .


A. 3 years less
B . 2 years more
C. 4 years less
D. Cannot be determined

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There are 5 solutions A,B,C,D,E with concentrations 10%,20,40,50 & 80% respectively. (X,Y) denotes a mixture of X and Y in which X and Y are mixed in some proportion, such that both are definitely included. Similar for (X,Y,Z)- same condition as in (x,y)

So which of the following cannot have 75% conc?

pls explain dont know the answer
  • ((D,E),(B,C),(A,E))
  • ((A,B),(B,C),(C,E))
  • ((A,E),(B,C),(C,D))
  • ((A,B),(B,C),(A,D))

0 voters

the ams mock cat consist of 4 sections and each sections has maximum of 45 marks . find the number of ways in which student can qualify in the ams mock cat if the qualifing marks is 90 ?

A)36546
b)6296
c)64906
d)none of these

approaach please

In how many ways ,counting ties, can four horses cross the finishing line?
a) 75
b) 71
c) 85
d)72
e) none of these

The savings of Achyut are 30% of his earnings while the savings of ranjit are 150% of the savings of Achyut. The combined earnings of Achyut and ranjit as a percentage of Achyuts earnings cannot be :


150%
160%
120%
180%
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Let A=3333(51 digits) and B=6666(51 DIGITS), then the 52nd digit from the right of the product A*B?

1)9

2)7

3)2

4)1

I need to give some mock tests for cat.. But I am looking for individual sectional test, so a total of 70 minutes test. can anyone help me have them?

A natural number has only two prime factors. It is 100 times the number of its factors. Find the sum of the digits of the least number satisfying these conditions?????/

1

4

3

2

how many ways can you distribute a pack of 52 cards into:-

a)4 persons
b)4 persons sitting on a circular table

An intelligence agency forms a code of two distinct digits selected from 0, 1, 2, …, 9 such that

the first digit of the code is non-zero. The code, handwritten on a slip, can however potentially

create confusion when read upside down — for example, the code 91 may appear as 16. How many codes are there for which no such confusion can arise?

How many ordered pairs (a, b) exist such that LCM of a and b is 2^3 5^7 11^13 (a, b are both Natural nos)?

2460

2835

2645

2840

what is the minimum value of (x-1)^2 + (x-2)^2 + (x-3)^2+.....+ (x-97)^2 if x is real?


a)56436
b)76048
c)25484
d)94326

Pls share approach

in circle of radius 4cm of a triangle ABC touches the side BC at D. if BD=6 dc=8 the area of triangle ABC???????

100 42 84 21

what is the length of the largest rectangle that can be formed having each of its vertices on the boundary of sqaure tht has an area of 4 sq units


ABC is a triangle with an area=1 unit. AF= AB/3 , BE= BC/3 , ED= FD. Find the area of the shaded figure.


let's say there are 2 ppl A and B at two places X and Y resp. A takes 3 hrs to go from X to Y and B takes 5 hrs to go from Y to X. now if A and B leave for Y and X resp. at 10.00 am. , at approx what time they meet each other.

there is one approach where we can divide the distance (say d btw X and Y) with their total speed. how does it give me the time after they meet. i.e d/[(d/3)+(d/5)]? pls explain the concept. ty














I am getting 50-60(total score) in aimcat 2013 what % i can hope in CAT ,,i am appearing for the first time need assistance from someone who has appeared before.....