Official Quant thread for CAT 2013

N = 5^(1!+2!+3!+...+12!+13! )The digits of the number N are added to get another number. Then the digits of the number obtained are added to get yet another number. The process is repeated till a single digit number is obtained. What is that single digit number?

a 7 b 6 c 5 d 8

plzzz tell me the approach

A's rate of doing a task is 20% more than B whose rate is 20% more than C; if C does the work in 36 2/5
days . how long all 3 together take to complete it?

The number of natural numbers of 6 digits that can be formed with digits 1,2,3,4 if all the digits are to appear at least once ?

No of triangles whose vertices are at the vertices of a regular polygon (n sides) but none of the sides of the triangle coincides with that of the polygon will be?


Please find ahead the attached question please share the approach as well thanks

What is the number of integral solutions for xyz=500?
Don't have OA. Please share the approach to deal with such questions.

Between two junctions X and Y there are 12 intermediate stations. The number of ways in which a train can be made to stop at 4 of these stations so that no 2 are consecutive.

1) 70
2) 126
3) 210
4) None

Approach also pls

What is the highest possible value of 'n' for which (17^32) - 1 is divisible by 2^n ?

Let f(x) be a function satisfying f(x)f(y)=f(xy) for all real x, y


If f(2)= 4 then what is the value of f(1/2) ?

0
1/4
1/2
1
CBD

Approach pls?

In a triangle ABC points DEF are at sides BC, CA and ABrespectively. AD is the median. DF is perpendicular to AB, DE isperpendicular AC.AE:EC=8:5, AF:FB=5:4.FIN Darea of tri. AFD*area of tri ADE divided by area of tri BFd *area of tri CDE.


I think ans is 2

Please explain

Please find ahead the attached question

how to find number of squares cutting between 8 horizontal lines and 7 vertical lines with each of the adjacent lines has unit gap ?.... pls provide approach!

x^2 -y^2 =1895

x^2 - y^2 =1896


numbef ways this can be expresssed as a differnce of two factors

abcd is rectangle. o is point in rectagle such that ob=5 oc =6 . with od as a diameter a circle is drawn. Find the area of the circle.P.S: o,b, d are not collinear.


Just a small info..is the IMS website down for all?😠😠😠



Hey,have my CAT in a few days...can anyone assist me with a compilation of all concepts at one place a pdf or something Thanks!

A certain sum of money was lent under the folowing repayment scheme based on simple interest -

8% per annum for the initial 2 years
9.5% per annum for the next 4 years
11% per annum for the next 2 years
12% per annum after the first 8 years

Find the amount which a sum of Rs.9000 taken for 12 years becomes at the end of 12 years.

a)20,200 b)19,800 c) 20,000 d) 20,160

There are five equal glasses containing milk in the ratio 3:4:5:6:7. How many glasses are 50% full of milk if the total volume of milk is the is 60% of the total volume of the glasses?

Mr X, a very industrious person, wants to establish his own unit. For this, he needs an instant loan of Rs. 5,00,000 and every five years he requires an additional loan of Rs 1,00,000. If he had to clear all his outstandings in 20 years, and he repays the principal of the first loan equally over the 20 years, find what amount he would have to pay as interest on his initial borrowing if the rate of interest in 10% p.a. Simple Interest.

a) 560,000 b)540,000 c)525,000 d) 500,000