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Ques:- If there are 2 wheelers and 4 wheelers parked in a school located at the heart of the city, find the number of 4 wheelers parked there if there were 58 wheels are parked there.
Recent Answer : Added by gkt On 2021-11-09 15:53:15:
total no of 4 wheelers: 40
total no of 2 wheelers: 18
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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:- A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train?
Recent Answer : Added by Madhumati On 2021-11-13 11:02:30:
224
Ques:- Find the number WXYZ divisible by 36? i)let the digits be5,4,3,6 ?not in that order ii)sum of last two digits is 9 iii) sum of middle two digits is 7
Recent Answer : Added by Admin On 2020-05-17 12:02:19:
5436
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Recent Answer : Added by Sanjai Kumar On 2021-01-26 02:42:30:
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Ques:- 587 x 999 = ?
A. 586413
B. 587523
C. 614823
D. 615173
Recent Answer : Added by Dolly chawla On 2021-10-19 16:13:49:
A
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Ques:- Raj has a jewel chest containing Rings, Pins and Ear-rings. The chest contains 26 pieces. Raj has 2 and 1/2 times as many rings as pins, and the number of pairs of earrings is 4 less than the number of rings. How many earrings does Raj have?…
Recent Answer : Added by King11 On 2022-03-18 09:20:21:
6 pairs of earrings. So 12 earrings.
The total has to be 26, so let’s say there’s 6 pairs of earrings and the number of pairs has to be 4 less than the number of rings. So that would make 10 rings. The 10 rings has to be 2 1/2 greater than the number of pins. So you would divide 10/2.5 = 4 Pins. That would equate to a total of 12 earrings, 10 rings, and 4 pins. A total of 26 pieces.
Ques:- Cost of an item is x. It’s value increases by p% and decreases by p% Now the new value is 1 rupee, what is the actual value ?
Recent Answer : Added by Admin On 2020-05-17 12:01:48:
original cost is 100^2 / (100^2 – p^2) Rs
Ques:- The H.C.F. and L.C.M. of two numbers are 50 and 250 respectively. If the first number is divided by 2, the quotient is 50. The second number is
A. 50
B. 100
C. 105
D. 125
Recent Answer : Added by Pavani On 2023-05-02 06:08:20:
125
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Ques:- How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 132 m length?
Recent Answer : Added by AP On 2023-03-15 12:25:11:
Total distance to cover = 132 +110 = 242m
Speed = 72kn/hr = 20m/s
time = 242/20 = 12.1 sec.
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total no of 4 wheelers: 40
total no of 2 wheelers: 18