Official Quant thread for CAT 2013

Find the number of zeros in the product: 1^1*2*2*3^3*4^4............98^98*99^99*100^100

A)1200

B)1300

C)1050

D)None of these

If the ratio of sum of m and n terms of an AP is m^2:n^2, then the ratio of its mth and nth terms is
1.m-1 : n-1
2.2m+1 : 2n+1
3.2m-1 : 2n-1
4.Cannot be determined

Is there any formula for determining no of squares and rectangle from a n*n chess board????

If three positive real number x,y,z satisfy y-x=z-y and xyz=4, then what is the minimum possible value of y?

a)2^1/3
b)2^2/3
c)2^1/4
d)2^3/4

What was the percentage profit in selling a litre of milk?!) 15 litres of milk was sold at cost price after adding 20% of water2) MIlk was purchased at Rs 16 per litre(Data Sufficiency)

In a class, it was found that 50% like Maths, 60% like physics and 70% like chemistry. Every student likes at least one of the three subjects. What are the maximum and minimum possible values of those who like all three subjects?


IF x and y are real then is x positive?

1)x^2m and y^2n have same sigh given both m and n are positive integers.

2)Both x^m and Y^n are positive, Given m and n are consecutive integers.

DATA SUFFICIENCY

New Public School has a circular layout. The school has teachers specializing in various subjects. All classrooms of the schol are equally spaced apart adn located along its perimeter. Each teacher needs to take 4 classes in a day. There is a strange rule. The first and last class has to be in the same class room. The other two classes have to be at two other distinct class rooms

Ques. Bharti is a history teacher. In addition to above rules of the school, she teachers exactly one pair of successive classes in adjacent classrooms. How many distinct trips to class rooms are possible for Bharti. IF there are 12 classrooms in the school.

A)120

B)96

C)576

D)496

Ques. Ram is a math teacher. He never teaches two successive classes at two adjacent classrooms. How many distinct trips to class rooms are possible for Ram if there are 9 classrooms in the school

A)72

B)324

C)30

D)180

In an opinion poll 78% of those asked were in the favour of atleast one of the three sports persons to be included in the commonwealth organizing commitee Saina, Dhoni and Anand. 50% of those asked favoured Saina, 30% favoured Dhoni 20% favored Anand.If 5% of those asked favoured all of them,what percentage of those asked favoured atleast one person ??Options

A)61

B)56

C)51

D)22

plzz expln ur solution

in how many ways 7^13 can be written as product of three distinct natural nos???


This is a question from TIME Mocks:

Find the remainder when 4^84 is divided by 6.

Options were: 0,2,3,4
The answer was given as 4. But I think it should be 0. Can anyone explain?

If 2100!=(504)^p x q ,where q is not a multiple of 7,then find the value of p.

1)346
2)305
3)388
4)308
5)348



Sanjay purchased a certain number of chocolates for a party. Alka asked him about the number of chocolates he had bought. Sanjay replied as under:

A. If the number of chocolates is a multiple of 5, the number is between 1 and 19.

B. If the number of chocolates is not a multiple of 10, the number is between 30 and 39.

C. If the number of chocolates is not a multiple of 8, it is a number between 20 and 29.

How many chocolates did he buy?

15

28

32

33

None of these

If 1/a+1/b+1/c= 1/(a+b+c) where a+b+c is not equal to zero,what is the value of (a+b)(b+c)(C+a)

A)equals zero

B) Greater than zero

C) less than zero

D) can not be determined

If v,w,x,y,z are non negative integers,each less than 11,then how many distinct combinations of v,w,x,y,z satisfy v(11^4)+w(11^3)+x(11^2)+y(11)+z=151001

options

A)0

B) 1

C)2

D)3

how many 4 digits number can be formed by using set 0,1,2,3,4,5,6,7 which is divisible by 25 and repetition of digit is not allowed..



how many 4 digit numbers divisible by 5 formed from the number 0,1,2,3,4,5,6 and 6?

answer=249

Abhishek and Aishwarya pick up a ball at random from a bag containing M red and N yellow coloured balls.one after the other,replacing the ball every time tillone of them gets a red ball.The first one to get a red ball is declared the winner.If Abhishek begins the game and the odds in favour of his winning the game are 3 to 2, then find the ratio M:N?

a)1:1

b)1:2

c)2:3

d)3:2

how many such rectangles are possible for which area is equal to perimeterand the sides of the rectangle are whole numbers

It is very easy to remember the ID number of my ATM card which is a nine digit number and every digit is distinct. If i tell you some clues then you will be able to find it.Consider my numer as PQRSTUVWX corresponing to 1 to 9 digits though not repository .The Id is divisible by 9. if you delete the digit at its units place, the remaining 8 digit number of my ID is divisible by 8. If you again delete the last digit of the 8 digit number the remaining 7 digit number is divisible by 7 and the process goes on.