Ques:- A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?
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:- There were 36 chairs. how many ways can they be placed such that all rows have equal no. of chairs and at least three chairs are there in each row and there are at least three rows
Recent Answer : Added by DEANDRA Lynette WOLLEY On 2021-12-09 18:39:53:
12
Ques:- Briefly describe your ideal job?
Ques:- Rajan got married 8 years ago. His present age is 6/5 times his age at the time of his marriage. Rajan’s sister was 10 years younger to him at the time of his marriage. The age of Rajan’s sister is:
Recent Answer : Added by Admin On 2022-09-29 18:35:16:
38 years
Let Rajan’s present age be x years. Then, his age at the time of marriage = (x – 8) years.
x = 65(x−8)
⇒5x=6x−48
⇒x=48 years
Rajan’s sister’s age at the time of his marriage = (x – 8) – 10 = (x – 18) = 30 years
∴ Rajan’s sister’s present age = (30 + 8) years = 38 years
Ques:- Three birds cross a point in a same st. line and of that 2 fly in opposite directions. If a triangle is formed with the position of the birds what kind of the triangle will be formed? a)isosceles b)right angle c)equilateral d)right angle and isosceles.
Recent Answer : Added by Admin On 2020-05-17 12:02:22:
ans is a
Ques:- What was your last experience tell me about this?
Ques:- The average temperature was 37C for Monday to Wednesday and 34C for Tuesday to Thursday . If the temperature on Thursday was 4/5 th of that of Monday,what was the temperature on Thursday?
Recent Answer : Added by Jade On 2022-09-22 16:41:17:
Substitute equation C into B:
(B) Tue + Wed = 102 – 0.8(Mon)
At this point I changed the values for clearer algebra:
Mon = x
Tue + Wed = y
Re-write equations A & B with new values:
(A) y = 111 – x
(B) y = 102 – 0.8x
Solve simultaneous equations:
111 – x = 102 – 0.8x
111 – 102 = x – 0.8x (Re-arraged)
9 = 0.2x
x = 45
Thus, Mon = 45C
Thu = 0.8(45)
Thu = 36C
So the answer is it was 36C on Thursday
Ques:- A works thrice as much as B. If A takes 60 days less than B to do a work then find the number of days it would take to complete the work if both work together?
Ques:- A man pushed his car to a hotel and lost his fortune. What happened?
Ques:- Tell me about a time you failed. How did you deal with the situation?
Ques:- Grass in lawn grows equally thick and in a uniform rate. It takes 24 days for 70 cows and 60 days for 30 cows to eat the whole of the grass. How many cows are needed to eat the grass in 96 days?
Recent Answer : Added by Admin On 2020-05-17 12:01:01:
Use 3pt. Formula
( (x-x1)/(x2-x1) )=( (y-y1)/(y2-y1) )
We get 150
Ques:- How to be informed about the company
Ques:- Why has call centers come to india,why dont they be in foreign cuntries?
Ques:- If you get a better job within 6 months from the date you joined in our company. Will you leave the present company?
Ques:- What has surprised you about the interview process so far?
Recent Answer : Added by Abdul Rawoof A R On 2021-12-13 17:58:37:
Call from HR for interview in an unexpected time!
Ques:- Can you share a few of your aspirations beyond this job?
Ques:- Tell me something abt urself
Ques:- Why are you leaving that company?
Ques:- Two pipes can fill a tank in 18 minutes and 15 minutes. An outlet pipe can empty the tank in 45 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?
Recent Answer : Added by Shahbina On 2022-08-24 17:03:17:
1 tank will fill in 10 minutes.
Ques:- Worldwide size of designer wear industry is about?
A. Rs. 35 billion
B. Rs. 25 billion
C. Rs. 10 billion
D. Rs. 50 billion
Recent Answer : Added by Muhammad Imran On 2022-09-28 17:42:44:
It is About 35 Billion
Ques:- Experince in any other Fields ?
Ques:- You should be 100% genuine in every answer?
Ques:- You are shrunk to the height of a nickel
Ques:- X and Y began business with Rs.3000 and Rs.4000 after 8 months, X withdraws Rs.1000 and Y advances Rs.1000 more. At the end of the year, their profits amounted to Rs.630 find the share of X.
Recent Answer : Added by Sandesh Bhat On 2021-08-13 16:27:09:
240.
X : (3000 x 8) + (2000 x 4) = 32000
Y : (4000 x 8) + (5000 x 4) = 52000
X:Y = 32000:52000 = 8:13
8k + 13k = 630
k = 30
X:8 x 30 = 240
Ques:- opposite to ESSENTIAL?
Recent Answer : Added by Admin On 2020-05-17 12:01:22:
DISSENTIAL
Ques:- Bucket A has thrice the capacity as bucket B. It takes 60 turns for bucket A to fill the empty drum. How many turns it will take for both the buckets A and B, having each turn together to fill the empty drum?
Recent Answer : Added by Biplab Nath On 2021-07-29 16:19:10:
45
Ques:- A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that at least one bulb is good?
Recent Answer : Added by jose On 2022-01-08 16:06:39:
4/9
Ques:- If x + 8y = 20 and x = -3y, then y =
Recent Answer : Added by David Evans Gyamfi On 2021-09-26 15:12:42:
x+8y=20, x=-3y
(-3y)+8y=20
5y=20
y=4
The answer for y is 4
Ques:- A contractor agreeing to finish a work in 150 days, employed 75 men each working 8 hours daily. After 90 days, only 2/7 of the work was completed. Increasing the number of men by ________ each working now for 10 hours daily, the work can be completed in time.
Recent Answer : Added by Akshay On 2022-03-09 16:46:00:
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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