Official Quant thread for CAT 2013

Among 120 youngsters of Nabadwip, 100 play kabaddi, 110 play kushti, 70 play kho-kho, 50 play kanche and 40 play kikli. What can be the maximum number of youngsters who engage in exactly four of five activities?

A. 50

B. 60

C. 70

D. 80


P.S: I do not have OA.shall appreciate it if someone can come up with detailed explanation

@Dazed-Confused @raghavsimply @falcao @dushyantagarwal i did like this using stick diagram and got 70. can u spot the error?

What is the concept and procedure to find solutions to following type of questions ?

1) Number of digits in expansion of x^y

2) Number of digits in binary,tertiary.... expansion of x^y

I have seen a few questions being asked in here on these lines but I couldn't follow the solutions given. Thanks 😃


At a particular instant the angle of elevation of a bird observed from a point P ,200 m above from a lake is 30 Degree.At the same instant the angle of depression of the bird's reflection in the lake as observed from the same point P is found to be 60 Degree.Find the height at which the bird is flying above the lake at that instant ?


A man has special rechargeable electric vehicle which can maintain a speed of x km/hr for (100-x) mins,after which it nees to recharged .What is the max distance (in KM) the man can cover without recharging in between ?

33 1/4 , 41 2/3, 45 and 2500

Number of ways 360 can be written as product of 3 natural numbers x,y,z such that x,y and z are

i) Distinct

ii) Not necessarily distinct



No OA...kindly post the answer along with approach :splat:


For (i) I feel 28 and for (ii) 32

In how many ways , can 7^13 be written as a product of 3 natural numbers?

Seven students appeared for an exam in which the maximum marks were 100. The marks scored by the students in the exam were found to be seven distinct integer values. The arithmetic mean of their marks was 88 whereas the median of their marks was 92. What could be the maximum difference between the marks of any two students? (a) 54 (b) 46 (c) 57 (d) 60

The product of three natural numbers – N1, N2 and N3 – is twelve times their H.C.F. How many ordered triplets (N1, N2, N3) are possible? (a) 12 (b) 15 (c) 18 (d) 21

Q.

Four people W, X, Y and Z are being judged for a crime. Exactly two of them always tell the truth and at least one of them always lies. Following statements are made by each of them:


W : I didn't commit the crime. Y also didn't commit the crime.

X : Z didn't commit the crime.

Y : X committed the crime.

Z : Y committed the crime.


Who committed the crime?

Last two digits of 79^83 .....



Please tell me a good approach to solve such questions. this is an AIMCAT question

What is the minimum value of the following function?

f(x,y) = x^2y^2 + x y^2 − x^2 y xy + x^2 + y^2 + x y

1. -1/4
2. -7/16
3. 9/16
4. 0

There are four distinct terms in a sequence such that the first and last term are equal. The first 3 terms are in AP. The last three terms are in GP. Find the common ratio of the last three terms


max and min value sec^2 x +cosec^2 x


A ball dropped from 36m above the ground rebounds to 1/3rd of its height from which it falls.If it continues to rebound in the following manner, find the total distance that it will cover before coming to a halt


The maximum value of the sum of the series 50,46,42,............. is


@jasneetdua

A function f(x) is defined for all real values of x as Min(–x2, x – 20, –x – 20). What is the maximum value of f(x)?



please please some1 tell me how to do such questions with an easy approach @ralins



F(X)=log(x-2)+log(x-3) G(X) = log(X-2)(X-3) ... are two function are identical ?