Apcotex industries limited 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:- Please brief us about ur self?
Ques:- You are a bug sitting in one corner of a cubic room. You wish to walk (no flying) to the extreme opposite corner (the one farthest from you). Describe the shortest path that you can walk?
Ques:- . The place in India receiving the lowest rainfall is(1) Jaisalmer(2) Leh(3) Bikaner(4) Jodhpur
Ques:- The sides of a triangle are in the ratio 5: 12: 13 and its perimeter is 300 m, Evaluate the area of the triangle ?
Recent Answer : Added by Tushar Singh On 2022-03-09 16:33:29:

As it is a right angled triangle so we know the hypotenuse must be 13 and 5 & 13 are base and height (in any order).
Area of triangle = 0.5* base * height = 0.5 * 5 * 12 = 30

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:- DO YOU THINK YOU ARE A TRUE ENGINEER
Ques:- Present duties and responsibility.
Ques:- How many bearers will an explorer need for a 6 day march if each man can carry the food stuff of one man for 4 days?
Ques:- From which collage you have completed your MBA?
Ques:- How did you become interested in the position of cabin crew?
Ques:- What is the difference between confidence and overconfidence?
Ques:- What are the values and beliefs guided your life so far and how do you see them influencing your future?
Recent Answer : Added by DK BOSS On 2021-07-17 10:05:47:

The most important belief is belief in yourself. Believing in who you are and your abilities frees you to pursue goals and dreams without reservation and drives you forward with confidence, independence, autonomy and direction. Combine this conviction in yourself with a solid framework of inherent beliefs from the list above, and you have an unbeatable combination.

Ques:- Sir, My educational details: xth in 1992 with 75.4% inter in 1994 with 53.4% B.Tech.,in 2004 with 65.5%and also having certifications like MCP & MCSAI am going to apply for the post.You satisfied with your academic results?
Ques:- X, Y and Z enter into a partnership. They invest Rs. 40,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, Y withdraws Rs. 40,000, while at the end of the second year, Z withdraws Rs. 80,000. IN what ratio will the profit be shared at the end of 3 years?
Ques:- In your opinion, what is the most beautiful math equation ever derived?
Recent Answer : Added by Admin On 2020-05-17 12:01:49:

obvious
e^(i*pi) + 1 = 0

Ques:- Insert the missing number:
3, 7, 6, 5, 9, 3, 12, 1, 15, (…..)
A. -1
B. 3
C. 13
D. 18
Recent Answer : Added by jag On 2022-01-08 16:05:38:

-1

Ques:- A banana plantation is located next to a desert. The plantation owner has 3000 bananas that he wants to transport to the market by camel, across a 1000 kilometre stretch of desert. The owner has only one camel, which carries a maximum of 1000 bananas at any moment in time, and eats one banana every kilometre it travels. What is the largest number of bananas that can be delivered at the market?
Ques:- The cost of 10 kg of apples is equal to the cost of 24 kg of rice. The cost of 6 kg of flour equals the cost of 2 kg of rice. The cost of each kg of flour is Rs.20.50. Find the total cost of 4 kg of apples, 3 kg of rice and 5 kg of flour?
Recent Answer : Added by AVI On 2021-12-23 16:25:51:

877.4

Ques:- How many experience you have in this company?
Ques:- What is the largest 8 digit prime number?
Recent Answer : Added by Ankit kumar On 2023-05-28 09:54:55:

9999991 (6k+_1) form

Ques:- Why only manufacturing? why not sales, marketing,quality etc.?
Ques:- What steps do you take to establish a rapport with others?
Ques:- Are you Comfortable with the office time i.e 9:30 to 6:30?
Ques:- How do you keep your fitness knowledge up to date?
Ques:- What if the interviewer ask that we are offering 8000 onlybut if the another company is offering 10000 means to whichyou would like to go?
Ques:- On a nice summer day two tourists visit the Dutch city of Gouda. During their tour through the center they spot a cosy terrace. They decide to have a drink and, as an appetizer, a portion of hot “bitterballs” (bitterballs are a Dutch delicacy, similar to croquettes). The waiter tells them that the bitterballs can be served in portions of 6, 9, or 20. What is the largest number of bitterballs that cannot be ordered in these portions?
Recent Answer : Added by vishal On 2022-03-09 16:29:02:

9 its just like popcorn box in cineme everyone take large leaving medium
aside

Ques:- Why we need to select you for this position?
Ques:- What you mean by www?
Ques:- How will you be able to justify yourself as per your CV records?

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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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