Official Quant thread for CAT 2013

there are 25 points on a plane of which 7 are collinear . how many quadilaterals can be formed from these points.

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how many 7 digit no are there having the digit 3 three times and the digit 5 four times.

how many 4 digits no divisible by 5 can be formed with the digit 0,1,2,3,4,5,6 and 6?

how many two digit numbers such that number equal to multiple of product of it's digit,.?
none, 2,3,4, 5 more than 5

how many new words can be formed with the word MANAGEMENT all ending in G?

(x + 48)/ (x-48) - - - Integer. How many value possible. ? X - natural number

What is the sum of the exponents of the prime factors of the square root of the largest perfect square that divides 12! ?


@chillfactor - ______/\______,Sir


A largest semicircle is inscribed in the unit square, find the area of the former.

Two non-decreasing sequences of nonnegative integers have different first terms. Each sequence has the property that each term beginning with the third is the sum of the previous two terms, and the seventh term of each sequence is N. What is the smallest possible value of N ?

3rd Non zero digit from the right end in the product of first 25 multiple of 5.?
3,5,6,7,8

Find the unit digit of lcm of (13^501)-1 and (13^501)+1

Let N be the sum of all prime powers that can be written as( 4^n)+(n^4) for some positive integer n.

What are the last 3 digits of N?

@Torque024

Let x and y be two 4-digit palindromes and z be a 5-digit palindrome.. If x+y=z, how many values of z are possible?

2, 3, 4, 5

10000!= (100!) ^ k * (P), where P and K are integers. What can be the max value of K ? 105

105, 102, 103, 104

One man and six women working together can do a job in 10 days. The same job is done by two men in 'p' days and by eight women in p+5 days. By what percentage is the efficiency of a man greater than that of a woman??

Pipe A can fill a tank completely in 5 hours. However on account of a leak at the tank, it takes 3 hours to empty the full tank. How long will the leak take to empty the full tank when pipe A is closed/shut?

1) 7.5 hours

2) 14 hours 40 min.

3) 12 hours 20 min.

4) 13 hours 20 min.

Kindly explain ur answer..

Please solve this question..x+1/x=1

Then what is the value of x^12+x^9+x^6+x^2+1
Please explain also.

Q4

QuantExpert - Q.O.D