Portland public schools Interview Questions, Process, and Tips

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:- Why do u choose MBA after B.Sc.
Ques:- There are four dogs/ants/people at four corners of a square of unit distance. At the same instant all of them start running with unit speed towards the person on their clockwise direction and will always run towards that target. How long does it take for them to meet and where?
Recent Answer : Added by Admin On 2020-05-17 12:01:43:

They will meet at the center of the square…as the
direction vector of all the ants/people change according to
the first person.
The independent path of each person taken will be spiral in
nature.

Ques:- It's always 1 to 6, it's always 15 to 20, it's always 5, but it's never 21, unless it's flying. What is this?
Recent Answer : Added by Rahul On 2021-07-19 18:31:56:

Dice

Ques:- Open universities are generally known for imparting :
A. elitist education
B. specialised education
C. distance education
D. general education
Ques:- What are your achievements?.
Ques:- Tell me something about our company.
Ques:- A lends Rs. 2500 to B and a certain to C at the same time at 7% p.a. simple interest. If after 4 years, A altogether receives Rs. 1120 as interest from B and C, then the sum lent to C is?
Recent Answer : Added by Nilesh Godle On 2021-07-23 15:26:04:

1500

Ques:- If sachin score 76more than ahzar , and azhar and robin scores sum is 94 and azhar scores 76 less than dravid and dravid score 26 more than robin . What was the total score done in match?
Recent Answer : Added by Uday On 2021-07-21 15:24:48:

Robin =72
Dravid = 98
Azhar = 22
Sachine = 98
Total score = 290

Ques:- A camel rests by a pile of 3000 bananas at the edge of a 1000-mile-wide desert. He plans to travel across the desert, transporting as many bananas as possible to the other side. He can carry up to 1000 bananas at any given time but he must eat one banana at every mile. What is the maximum number of bananas the camel can transport across the desert? How does he do it?
Recent Answer : Added by Ranjith S On 2021-10-28 16:05:52:

2000

Ques:- Pavan travelled for 11 hours. He covered the first half of the distance at 30 kmph and remaining half of the distance at 25 kmph. Find the distance travelled by Pavan.
Ques:- How committed do you think you will be to this position?
Ques:- How long you will stay in our company?
Ques:- How many experience you have in this company?
Ques:- What is the missing number in the series 1, 2, 4, 7, 11, .?
Recent Answer : Added by Sachin Shah On 2021-12-09 18:39:55:

16

1+1=2
2+2=4
3+4-7
4+7=11
5+11=16

Ques:- Why you want to change organization
Ques:- How many years of working experience you have as computer operator?
Recent Answer : Added by kallanath On 2021-11-24 16:45:05:

2years

Ques:- What was the day of the week of 1st January 2001?
A. Tuesday
B. Wednesday
C. Friday
D. Sunday
Recent Answer : Added by Muhammad Bilal On 2021-11-24 16:45:21:

Monday

Ques:- Why have you selected IT as you field of interest?
Ques:- A rectangular courtyard, the sides of which are in the ratio of 4:3, cost Rs.600 for paving at 50 p per m2; find the length of the diagonal of the courtyard?
Recent Answer : Added by Tduwem On 2021-11-13 11:02:25:

5

Ques:- DO YOU THINK YOU ARE A TRUE ENGINEER
Ques:- Tell me something about your family?
Ques:- Give a brief description of your carrer goals
Ques:- You have changed 4 jobs in 5years, why you changed so many companies?
Ques:- If instead of multiplying a number by 7 the number was divided by 7. What should be the percentage error?
Recent Answer : Added by Rushi Maralkar On 2023-04-27 17:34:11:

% error= (new no-actual no)/actual no *100
% error= [(x/7)-7x]/7x * 100
% error= 48x/49x * 100
% error= 0.9795*100=97.95

Ques:- There are 6 red shoes & 4 green shoes . If two of red shoes are drawn what is the probability of getting red shoes
Recent Answer : Added by jeevi sireesha On 2022-11-29 17:06:55:

4

Ques:- Why we are supposed to believe you to work more than a year in our organisation
Ques:- Why do I want to move from a higher designation to a 1 level lower designation in a different company?
Recent Answer : Added by pankaj On 2022-05-17 09:08:20:

sorry this question is irrelevant.

Ques:- A man bought a horse and a cart. If he sold the horse at 10 % loss and the cart at 20 % gain, he would not lose anything; but if he sold the horse at 5% loss and the cart at 5% gain, he would lose Rs. 10 in the bargain. The amount paid by him was Rs.- _______ for the horse and Rs.________ for the cart.
Ques:- What do you find good in your present company.

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Devendra Bhardwaj With a decade of experience as a Job Hiring Expert, I am a results-driven professional dedicated to elevating recruitment strategies. My expertise lies in navigating the dynamic landscape of talent acquisition, employing innovative approaches to attract, assess, and secure top-tier candidates. I excel in optimizing hiring processes, leveraging cutting-edge technologies, and fostering collaborative relationships with stakeholders. A keen understanding of industry trends allows me to stay ahead, ensuring a competitive edge in securing the best talent for your organization. I am passionate about connecting the right people with the right opportunities and thrive in creating impactful, streamlined recruitment solutions.

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