Official Quant thread for CAT 2013

Uncle Sam solves Sudoku everyday in the daily newspaper. The probability of getting a correct solution is thrice on a weekend as compared to that on a weekday. Because of a country-wide strike on Wednesday 20th March 2013, he did not get any newspaper. All the solved papers are kept in the store room. The probability of selecting a newspaper of March 2013 which has been correctly solved by Uncle Sam is 40%. What is the probability that he could not solve the Sudoku correctly on 11th March 2013?(a) 0.75(b) 0.76(c) 0.24(d) None of these a b c d

Please find ahead the attached question

36 identical chairs must be arranged in rows with the same number of chairs in each row. Each row must contain at least 3 chairs and there must be at least 3 rows. A row is parallel to the front of the room. How many different arrangements are possible ?(a) 2 (b) 4 (c) 5 (d) 6

a

b

c

d


In an over of 6 balls, a batsman can score 1,2,3,4 or 6 runs on each ball. If he does not score any run in a ball, it is called a 'dot ball'. If in an over where 6 balls were delivered, the batsman scored distinct runs in every non-dot ball and the score at the end of the over was 8 runs, then what is the probability that at least 50% balls bowled were 'dot balls'?(a) 60%(b) 75%(c) 100%(d) None of these

100 kids are standing in a circle and one of them is having a ball . the ball is passed counter clockwise , skipping 0,1,2,3,4 and so kids respectively the first kid give it to second kid , then second gives to 4 , then 4 kid gives to 7 and so on . after how many hands change will the ball back to the first kid ?

12
20
24
none

any shortcut trick

in a group of 120 people there are 80 bengali and 40 gujrati , further 70 people are muslims and remaining are hindu , then the number of bengali muslims in the group is

between 10 and 14
between 15 and 19
exactly 20
25 or more

approach...

15m

The sum of roots of the equation (x) ^ ( x^2/3) = (x^1/2)^ x is ...?

The sum of the series 1^3-2^3+3^3-4^3+...+49^3-50^3+51^3 is

Approach needed

  • 68176
  • 67626
  • 68276
  • 97750

0 voters

If b^2=pac, which of the following is a possible value for the ratio of the roots of the equation ax^2+bx+c=0

  • p+√{(p^2)-4p}
  • [p-√{(p^2)-4p}]/2
  • p-2+√{(p^2)-4p}
  • [p-2+√{(p^2)-4p}]/2

0 voters

Is there any relationship between the sign of a quadratic function and its discriminant ? If f(x)>0 in ax^2+bx+c then is D


if a regular square pyramid has a base of 8 cm and height of 30 cm than what it is volume?
360
640
480
800

@Smoke.7ore

A & B are two points on the bank of a river. C is the point on the opposote bank directly opposite A. There is a tower at B. The angle of elevation of the top of the tower at A is 60 and the same at C is 45. If AC=200 feet, then find the height of the tower.

  • 300
  • 600
  • 100√6
  • 100√3

0 voters

Two boats A & B , which travel at the same speed in still water, start from point P on a river. A goes 9km upstream and then 14km downstream to reach point Q in 5 hrs. B travels 12km upstream and then 7km downstream to reach Q along with A. Find the speed of the stream.

  • 1.5
  • 1.8
  • 2
  • 2.5

0 voters

How can we accommodate a new guest arriving at the fully occupied Grand Hotel without removing any of the current guests? where Grand hotel has countably infinite number of rooms.

The function f(x, y), defined on the set of ordered pairs of positive integers, satisfies the following properties.


f(x, x) = x

y × f(x, y) = x × f(y, x)

(x + y)f(x, y) = yf(x, x + y).

Find f(14, 52).


OPTIONs

1) 378

2) 456

3) 364

4) 728

5) None of these

PS: dont have OA...

Ten harmonic means(h1,h2,..h10)and n arithmetic means (m1,m2,...m10)are inserted between 7 and b. If (m9)x (h2)is 434, find value of 37h5

  • 400
  • 420
  • 434
  • none

0 voters

A semi-circle is drawn with AB as its diameter. From C, a point on AB, a line perpendicular to AB is drawn meeting the circumference of the semi-circle at D. Given that AC = 2 cm and CD = 6 cm, the area of the semi-circle (in sq. cm) will be?
Approach pls..

Can some1 tell me why the additional information about functions is given for the question in the attached image..it's not at all needed right?

Find the range of x for which |x+1|+|x+3|+|x-5|

Share ur approach...