Ques:- Aren?t you overqualified for this position?
Ques:- When x is real what is the least value of (x**2-6*x+5)/(x**2+2*x+1)
Recent Answer : Added by Admin On 2020-05-17 12:01:23:
(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
Ques:- Difference between two numbers is 5, six times of the smaller lacks by 6 from the four times of the greater. Find the numbers?
Recent Answer : Added by Rajaprasanna On 2021-06-23 17:55:29:
x=12;y=7
Ques:- Do you have any blind spots?
Ques:- Sanjeev ranks seventh from the top and twenty eight from the bottom in a class. How many students are there in the class?
Recent Answer : Added by surendrakumar On 2022-08-14 16:42:36:
the answer is 34
Ques:- What do you think you will bring to this job?
Ques:- What are your plans for the future in terms of higher education?
Ques:- What was the last seminar you attended? How did you apply this new-found knowledge towards your work?
Ques:- The product of two numbers is 2025 and their HCF is 15.Evaluate their LCM is?
Recent Answer : Added by RAKESH S On 2021-09-23 15:56:01:
number1*number2=lcm*hcf
so,
product of two numbers is ,
2025=lcm*15
lcm=2025/15
lcm=135
Ques:- P, Q and R invests Rs.2000, Rs.3000 and Rs.4000 in a business. After one year P removed his money; Q and R continued the business for one more year. If the net profit after 2 years be Rs.3200, then P’s share in the profit is?
Recent Answer : Added by Admin On 2022-09-28 19:14:13:
Complete step-by-step answer:
Investment made by A for 1 year, IA=2000
Investment made by B for 2 year,
IB=2×3000IB=6000
Investment made by C for 2 year,
IC=2×4000IC=8000
The ratio of their investment is given by
IA:IB:IC=2000:6000:8000
To simplify the ratio divide it by 1000,
IA:IB:IC=2:6:8
Now again to simplify divide the ratio by 2,
IA:IB:IC=1:3:4
The total parts of this investment =1+3+4=8
A’s share in the investment is 1 out of the 8 parts; B’s share is 3 out of 8 while C’s share is 4.
Therefore, the profit share of A’s investment of Rs. 2000=18×3200=400.
Ques:- In which ratio must water be mixed with milk costing Rs. 12 per litre to obtain a mixture worth of Rs. 8 per litre?
A. 1 : 2
B. 2 : 1
C. 2 : 3
D. 3 : 2
Recent Answer : Added by Muhammad Adnan On 2022-03-09 16:41:05:
B
Ques:- It was Sunday on Jan 1, 2006. What was the day of the week Jan 1, 2010
Recent Answer : Added by soni On 2022-10-21 19:49:19:
it was a friday.
Ques:- Tell me about summer training in B.Tech 2nd yr with Computer Science?
Ques:- Have you ever had a role in a team project where your role was not clearly defined? How do you handle this?
Ques:- Product of three consecutive nos. 210. What is the sum of two least numbers?
Recent Answer : Added by Admin On 2020-05-17 12:02:28:
5 * 6 * 7 = 210 ,
Two Least No’s are 5,6
There fore 5+6=11 is answer
Ques:- A coin is tossed live times. What is the probability that there is at the least one tail?
Ques:- A building with height D shadows up to G. A Neighbour building with what height shadows C feet.
Recent Answer : Added by Admin On 2020-05-17 12:00:38:
(C*D)/G
Ques:- What is your total experience?
Ques:- A polygon has maximum 1325 diagonals. How many vertices does it have?
Recent Answer : Added by DK BOSS On 2021-07-15 08:05:23:
The formula to find number of diagonals (D) given total number of vertices or sides (N) is
N * (N – 3)
D = ———–
2
Using the formula, we get
1325 * 2 = N * (N – 3)
N2 – 3N – 2650 = 0
Solving the quadratic equation, we get N = 53 or -50
It is obvious that answer is 53 as number of vertices can not be negative.
Alternatively, you can derive the formula as triange has 0 diagonals, quadrangel has 2, pentagon has 5, hexagon has 9 and so on……
Hence the series is 0, 0, 0, 2, 5, 9, 14, …….. (as diagram with 1,2 or 3 vertices will have 0 diagonals).
Using the series one can arrive to the formula given above.
Ques:- WHAT IS UR DAILY ROUTINE IN UR SCHOOL TIME?
Ques:- Company distributions
Ques:- Are you able to work in any shifts?
Ques:- Are you willing to work in shifts and sign bonds?
Ques:- In what time a sum of money double itself at 3% per annum simple interest?
Ques:- 98th term of the infinite series 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, …… is
A. 1
B. 2
C. 3
D. 4
Recent Answer : Added by Hemlata vasava On 2022-08-14 16:39:47:
A, b
Ques:- 1.14 expressed as a percent of 1.9 is
A. 6%
B. 10%
C. 60%
D. 90%
Recent Answer : Added by Varshitha On 2022-06-20 11:28:59:
.
Ques:- Number of squares in a nxn grid
Ques:- You spend 21 dollars on vegetables at the store. You buy carrots, onions and celery. The celery cost half the cost of the onions. The onions cost have the cost of the carrots. How much did the onions cost?
Recent Answer : Added by Kom On 2021-08-06 04:58:03:
Actually
carrots=> $12
celery => $3
Ques:- What if the interviewer ask that we are offering 8000 only but if another company is offering 10000 would you like to go?
Ques:- 125 : 343 :: 343 : __
Recent Answer : Added by Shweta Rathore On 2023-04-18 12:08:58:
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(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