Ques:- When x is real what is the least value of (x**2-6*x+5)/(x**2+2*x+1)
Ques:- A computer printer produced 176,400 lines in a given day. If the printer was in operation for seven hours during the day, how many lines did it print per minute?
Recent Answer : :
a printer produced 176400 lines in 420 minutes
it produces 176400/420 lines per minute = 420
answer is : 420 lines per minutes
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Recent Answer : :
20 %
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Recent Answer : :
15 min 100 line
30 min 200 lines + 15 min rest total 45 min +5 min think +5 min write + 5 min rest
250 line code will be done
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Ques:- The difference between the compound interest and the simple interest on a certain sum of money at 5% per annum for 2years is Rs. 1.50. Find the sum.
A. Rs. 800
B. Rs. 1200
C. Rs. 400
D. Rs. 600
E. None of these
Recent Answer : :
600
Ques:- Four couples sit around a circular table in a party. Every husband sits to the right of his wife. P, Q, R and S are husbands and T, U, V and W are wives. Q – U and R – V are two married couples. S does not sit next to V. T sits to the left of P, who sits opposite S. Who sits between P and Q?
Recent Answer : :
(T-P)-(U-Q)-(V-R)-(W-S)
S Opposite is Q
U sits the P and Q
Ques:- Four of the following five are alike in a certain way and hence form a group. Which one of the following does not belong to that group?
A. 63
B. 64
C. 39
D. 48
E. 79
Recent Answer : :
64
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Ques:- A man engaged a servant on the condition that he would pay him Rs.710 and a uniform after a year service. He served only for 8 months and got Rs.460 and a uniform. Find the price of the uniform?
Recent Answer : :
ans=13.33
solution: (710/12)*8 – 460
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Ques:- 225 : 400 :: 625 : __
Recent Answer : :
900
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Ques:- If 12 men and 16 boys can do a piece of work in 5 days and 13 men together will 24 boys can do it in 4 days. Compare the daily work done by a man with that of a boy.
Recent Answer : :
2:1
(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