Ques:- Which of the following Indian company has been listed at the top in Global-500 list ?
Ques:- When x is real what is the least value of (x**2-6*x+5)/(x**2+2*x+1)
Ques:- The sum of four consecutive even numbers is 36. Find the sum of the squares of these numbers?
Recent Answer : :
6+8+10+10= 36
6²+8²+10²+12²=344
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Ques:- If in a certain language FASHION is coded as FOIHSAN, how is PROBLEM coded in that code ?
Recent Answer : :
FASHION= FOIHSAN
It is F-ASHIO-N to F-OIHSA-N.
So PROBLEM will be P-ROBLE-M,
the answer is PELBORM.
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Recent Answer : :
x
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Ques:- A train 150 m long running at 72 kmph crosses a platform in 25 sec. What is the length of the platform?
Recent Answer : :
350m
Ques:- The number of prime factors in the expression (6)10 x (7)17 x (11)27 is
A. 44
B. 54
C. 64
D. 71
Recent Answer : :
610 × 717 × 1127
= (2 × 3)10 × 717 × 1127
= 210 × 310 × 717 × 1127
Number of prime factors in the given expression
= (10 + 10 + 17 + 27)
= 64
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Recent Answer : :
Call from HR for interview in an unexpected time!
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A. 6
B. 7
C. 8
D. 10
Recent Answer : :
8
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Ques:- If m, n, o, p and q are integers, then m(n + o) (p – q) must be even when which of the following is even?
A. m
B. n
C. m + n
D. n + p
Recent Answer : :
a
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Ques:- How would you manage two projects that require your time?
(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