Official Quant thread for CAT 2013

MBA CAT 2024
39739

Four players A, B , C and D agree to play a game of sign. A slip of paper is given to player A, who marks it with either a '+' or a '–' sign, the probability of his writing a '+' sign being 1/3. The slip is then passed to B who may either leave it unchanged or change the sign before passing it to the next player C . C and D follow the same rule of the game, and the probability for each of B , C and D to change the sign is 1/3 . Player D finally returns the slip to a referee R.

The probability that R observes a '+' sign on the slip if A and B mark a '+' sign?
39740

Manager city has m parallel roads connecting East-west and n parallel roads connecting North south. How many shortest routes are possible from one corner to its diagonally opposite corner.


a) C(m+n,m-n)
b) C(m+n,n)
c) C(m+n-2,m-1)
39741

ABCD is a rhombus and P is equidistant from A and C. If PB = 8 cm, PD = 2 cm and PA = 5 cm, then find AD.

rt 11

rt21

rt31

rt41??

39742

We have an equal arms two pan balance and need to weigh objects with integral weights

in the range 1 to 40 kilo grams. We have a set of standard weights and can place the

weights in any pan. . (i.e) some weights can be in a pan with objects and some weights

can be in the other pan. The minimum number of standard weights required is:



39743

Arun sharma (4th edition ) pg-410- review test 3- question number 4...

Kindly help me out..
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39744

Second last digit of (72)^10*48 = Second last digit of 24^48??Can yu pls explain this step?😃

39745

Geometry time guys :


In the figure given below, ABCD is a parallelogram. E is the midpoint of the side BC. DF is drawn perpendicular to AE. If AB = 5.6 cm and BC = 2.8 cm, find the length of CF.


39746

How many pair of positive integers (a, b) are there such that their LCM is 2012?


39747

guys pls help me out in this question

39748

199459/ 67 division

29640/38 division

any short trick for the same ?

39749

A,B,C,D are points on the circumfrence of a circle with radius r,triangle ABD is an equilateral triangle,AC is diameter of circle Find perimeter of ABCD.

a)r[2(root(3))+1]


b)r[2(root(3))+2]


c)r[(root(3))+1]


d)r[2(root(3))+4]

39750

guys pls help me out in this question

39751

If one of the digits of Z, a two-digit number, is added to the square of the other digit, Z is obtained. How many values of Z are possible?

39752

guys need help in this question

39753

A teacher asks the students to find the average of nine 3-digit natural numbers. A student mistakenly reads the digits of one of the nine numbers in reverse order and gets an average which is 33 more than the actual average. How many distinct values are possible for the number which was incorrectly read by the student?

39754

A square is inscribed in a circle and the circle is inscribed in a regular octagon. Find the ratio of the area of square to that of octagon.
a) (1+ square root of 2) :4
b) 2*square root of 2 - 1):4

c) (square root of 2) - 1 : 4
d) can't be determined
39755

Ram sells his good 25% cheaper than Shyam and 25% dearer than Bram. How much percentage is Bram's goods cheaper than shyam's?..pls give a detail expl.


39756

The ratio of the interior angle of an m-sided regular polygon to that of an n-sided regular polygon is 3 : 4. The value of (m + n) cannot be

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24


39757

In a class 70% boys are there, some girls joined and their % became 40% .find the growth% in number of girls?


39758

in how many ways can 27000 be written as a product of 3 factors?