Ques:- if length of a rectangle is incr by 20% and width is decr by 20% then area
Recent Answer : Added by Admin On 2020-05-17 11:59:46:
we know,
area=b*h
b gets increased by 20% i.e (b+0.20b)
h gets decreased by 20% i.e (h-0.20h)
rewriting the equation(area=b*h),
area=(b+0.20b)*(h-0.20h)
area=b(1+0.20)*h(1-0.20)
area=b(1.20)*h(0.80)
area=b*h*(1.20)*(0.80)
area=b*h*(0.96)
i.e new area=0.96 times the original area
if 100% was the original area,it has decreased to 96%
so,100%-96%= 4%
Ques:- X, Y and Z are partners. X receives 2/3 of profits, Y and Z dividing the remainder equally. x’s income is increased by Rs.200 when the rate to profit rises from 5 to 7 percent. Find the Capital of Y?
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
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Recent Answer : Added by Admin On 2022-09-27 18:20:20:
108
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Recent Answer : Added by DK BOSS On 2021-07-21 15:26:11:
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Ques:- My watch gains 5 minutes, in every hour. How many degrees the second hand moves in every minute?
A. 375°
B. 380°
C. 385°
D. 390°
Recent Answer : Added by sujata On 2022-08-24 17:03:57:
390
Ques:- The sum of all the prime numbers from 1 to 20 is
A. 75
B. 76
C. 77
D. 78
Recent Answer : Added by nikita mane On 2022-08-14 16:32:25:
77
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Recent Answer : Added by Adepoju Toluwani On 2022-08-14 16:28:44:
Violet
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Ques:- The diameters of two spheres are in the ratio 1:2.Find the ratio of their volumes?
Recent Answer : Added by Harshitha On 2022-03-19 16:02:13:
Ratio of diameters=1:2
Ratio of radius=1:2
Ratio of volumes=(4/3*3.14*r1^3)/(4/3*3.14*r2^3)
=r1^3/r2^3=1^3/2^3=1/8
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Ques:- Next number in the series is 1 , 2 , 4 , 13 , 31 , 112 , ?
Recent Answer : Added by Admin On 2022-09-28 17:52:05:
1, 2, 4, 13, 31, 112,?
This series is written in base 5 numbers for decimal nos of 1,2,4,8,16,32,64
so next number is 224 .
224 in base 5 = 64 in base 10.
so 224 is next number.
Ques:- A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
A. 120 metres
B. 150 metres
C. 180 metres
D. 200 metres
Recent Answer : Added by anonymous On 2022-03-09 16:37:58:
60*5/18*9=150
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we know,
area=b*h
b gets increased by 20% i.e (b+0.20b)
h gets decreased by 20% i.e (h-0.20h)
rewriting the equation(area=b*h),
area=(b+0.20b)*(h-0.20h)
area=b(1+0.20)*h(1-0.20)
area=b(1.20)*h(0.80)
area=b*h*(1.20)*(0.80)
area=b*h*(0.96)
i.e new area=0.96 times the original area
if 100% was the original area,it has decreased to 96%
so,100%-96%= 4%