Maxima minima

Sum of two numbers is 24.find numbers if product is maximum


Let one number is x and other is 24-x

X(24-x)should be maximum

24x-x^2 Derivative of this function is



Again second derivative =-2

By second derivative test it should be maximum 

At x=12 so other will be also 12 

It satisfied condition  that the product is maximum


Admissions are open for BA BBA BCA B COM for the year 2017-18. for admission pl contact 08023459094/9341052747 or visit

via ADMISSIONS ARE OPEN FOR BA BBA BCA AND B COM 2017-2018 — MN Degree College


Time Management

A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?
A        Rs. 375 B.        Rs. 400
C.        Rs. 600 D.        Rs. 800


1.A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?

A.   120 metres B.   180 metres
C.   324 metres D.   150 metres

Answer: Option D


Speed= 60 x 5 m/sec = 50 m/sec.
18 3
Length of the train = (Speed x Time) = 50 x 9 m = 150 m.




1. In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?

A) 6.25
B) 5.5 
C) 7.4
D) 5