Ques:- When x is real what is the least value of (x**2-6*x+5)/(x**2+2*x+1)
Ques:- Kailash remembers that his brother Deepak’s birthday falls after 20th May but before 28th May, while Geetha remembers that Deepak’s birthday falls before 22nd May but after 12th May. On what date Deepak’s birthday falls?
Recent Answer :
: May 21
Ques:- “A contribution of Rs. 500 was raised from 500 people. The fee was as follows:Men: Rs.3.00 each Women: Rs. 2.00 each Childern: 0.48 each If number of women is more than number of men, how many childern are there?”
Ques:- Why you want to leave your current organization??please don't write, looking for good salary.. it can be negative..i am searching a Right sentence..plz suggest…
Ques:- Who is your role model & why?
Ques:- What is so fragile that when you say its name, you break it?
Ques:- A train crosses a platform of 120 m in 15 sec, same train crosses another platform of length 180 m in 18 sec. then find the length of the train?
Recent Answer :
: 156
Ques:- The following question asked at Infosys campus recruitment held at Pragathi. If 1>= y > x and xy=z.which of the following is not true? i)z>0 ii)x=z iii)y=z iv)z>y
Recent Answer :
: 1>=y>x => y belongs to (-infinity,1]
x belongs to (-infinity,y)
if both x and y are negitive z can be greater than zero and
can be greater than y(1 and 4 are true)
if y equals 1 then x can be equal to z(2 is true)
therefore y=z is not true for any value of x and y
Ques:- Two pipes X and Y can separately fill a tank in 12 and 15 minutes respectively. A third pipe Z can drain off 45 liters of water per minute. If all the pipes are opened, the tank can be filled in 15 minutes. What is the capacity of the tank?
Recent Answer :
: 540 liters
Ques:- Rate your self in ASP.NET
Ques:- HOW DO YOU COME OUT OF ANY PATHETIC CONDITION.
Ques:- A person travels 800m with some speed and reaches the destination. If he travels 15m/sec more than his previous speed, he will reach the destination 12 sec before. Find out his original speed?
Ques:- Tell us when in past you were able to demonstrate your leadership skils.
Ques:- On the independence day, bananas were be equally distributed among the children in a school so that each child would get two bananas. On the particular day 360 children were absent and as a result each child got two extra bananas. Find the actual number of children in the school?
Ques:- Why do you want to work at our company?
Ques:- Embarrassing day in your life?
Ques:- If the project already started and you hired in the middle of the project? What will you do?
Ques:- A/B = 3/5 15A = ?
Recent Answer :
: 5A=3B,
*3 SO,
15A=9B
Ques:- Who invented Blue Jeans?
A. Tid Wrangler
B. Levi Strauss
C. Pecuno Armedia
D. Adam Lee
Recent Answer :
: option D
Ques:- There is a grid of 20 squares by 10 squares. How many different rectangles are possible? Note that square is a rectangle.
Ques:- A train 540 meters long is running with a speed of 54 kmph. The time taken by it to cross a tunnel 180 meters long is?
Recent Answer :
: 360
Ques:- How do you feel about responsibility?
Ques:- Number Series 19,24,20,25,21,26,?
Recent Answer :
: 22
Ques:- How long you will stay in our company?
Ques:- Do you have any blind spots?
Ques:- Two vessels A and B contain 62.5% and 87.5% of alcohol respectively. If 2 litres from vessel A is mixed with 4 litres from vessel B, the ratio of alcohol and water in the resulting mixture is?
Recent Answer :
: Alcohol content from
2 l of A (62.5%) : 1.35L
4L of B (87.5%) : 3.50L
Total Acohol content in 6 L : 4.85L or 80.8%
Ques:- Why are you not interested in government job?
Ques:- A man engaged a servant on the condition that he would pay him Rs.900 and a uniform after one year service. He served only for 9 months and received uniform and Rs.650, find the price of the uniform?
Recent Answer :
: 12 month=>900Rs+Uniform
1month:75 => 9month:675
675-650=25 =>price of Uniform
Ques:- What will be the ratio of simple interest earned by certain amount at the same rate of interest for 6 years and that for 9 years?
Recent Answer :
: Let the principal be P and rate of interest be R%.
Therefore Required ratio
=P×R×6/100/P×R×9/100
=6PR/9PR
=6/9
=2:3
Ques:- Find the odd man out:
41, 43, 47, 53, 61, 71, 73, 81
41, 43, 47, 53, 61, 71, 73, 81
A. 81
B. 73
C. 71
D. 61
Recent Answer :
: 81
(x**2 – 6* x + 5) = (x-1)*(x-5)
(x**2 + 2 * x + 1) = (x + 1) * (x+1) = (x+1)**2
For what x is (x-1)*(x-5)/( (x+1)**2) a minimum?
One way to answer this question is by using calculus.
Take the derivative, and set to zero.
Since this is a fraction of polynomials, and a fraction is
zero only if it’s numerator is zero, we need calculate only
the numerator of the derivative and set it to zero.
The numerator of the
Derivative of (x-1)*(x-5)/( (x+1)**2) is
( (x-1) + (x-5) ) ( x+1)**2 – (x-1)(x-5)( 2 (x+1) )
= (2 x – 6) (x+1)**2 – (2) (x-1)(x-5) (x+1)
= 0
Divide through by 2 (x+1)
(x-3)(x+1) – (x-1)(x-5) = 0
(x**2 – 2 x – 3 ) – (x**2 – 6 x + 5) = 0
x**2 – x**2 – 2 x + 6 x – 3 – 5 = 0
4 x – 8 = 0
x = 2
Plugging in x = 2 into the original
(x**2-6*x+5)/(x**2+2*x+1)
gives us (2**2 – 6 * 2 + 5)/(2**2 + 2*2 + 1)
= (4 – 12 + 5) / (4 + 4 + 1) = -3/9 = -1/3
Least value is -1/3