Ques:- A gets 3 times as much money as B gets, B gets only Rs.25 more then what C gets. The three gets Rs.675 in all. Find the share of B?
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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Ques:- Ram was travailing back from his friend house in his old ambassador. He could only travel along at a steady 30 miles per hr and managed a paltry 20 miles per litere of fuel. At the start of the journey he has placed exactly 10 litre of fuel into a tank. He knew though that the fuel tank lost fuel at the rate of half a liter per hhour. As ram arrived home the car stopped because it had run out of a fuel and h only just made it. How far was his friends house from rams. a.200 b.150 3.210 d170
Recent Answer : Added by Admin On 2020-05-17 12:04:12:
Ans 200
that he will lost 1.5 ltr in an hour
so he will lost that 10 ltr in 10/1.5=6.67hour
distance travelled in 6.67 hour is=30*6.67=200 km
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Ques:- The sum of four consecutive even numbers is 292. Evaluate the smallest number?
Recent Answer : Added by priyanhu On 2022-04-02 07:00:15:
Thanq saddha
Ques:- X, Y, Z enter into a partnership investing Rs. 35,000, Rs. 45,000 and Rs. 55,000 respectively. The respective shares of X, Y, Z in annual profit of Rs. 40,500 are:
Recent Answer : Added by Supriya p On 2022-09-28 17:42:52:
X share is 10500
Y share is 13500
Z share is 16500
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Recent Answer : Added by Admin On 2020-05-17 12:03:35:
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Ques:- price of a product is reduced by 30% . What percentage should be increased to make it 100%
Recent Answer : Added by Admin On 2020-05-17 11:59:31:
30/100*142.85 = approx. 100
so ans is 42.85
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Ques:- A boat takes 90 minutes less to travel 36 miles downstream than to travel the same distance upstream. If the speed of the boat in still water is 10 mph, the speed of the stream is:
Recent Answer : Added by Sanjeevnaidu On 2022-09-02 17:04:42:
Let speed of stream be v mph
Then,
36/(10-v) = 1.5hr + 36/(10+v)
On solving, we get speed of stream as v = 2mph.
Ques:- Find the compound interest and the amount on Rs.8000 at 5% per annum for 3 years when C.I is reckoned yearly?
Recent Answer : Added by mv On 2021-08-14 13:06:15:
1261
Ques:- The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 km. then find the speed of the faster train?
Recent Answer : Added by Mohammad Hafijur Rahim On 2023-05-17 10:40:48:
slower train – 48 kmph = 40/3 m/s
say faster train, v m/s
therefore, {v-(40/3)}*180 = 600, => v= 60 kmph
Ques:- How many degrees there between the two hands of a clock at 3:15?
Recent Answer : Added by J. Cody Stockwell On 2022-08-14 16:36:03:
The hour hand advances between individual numbers as the minute hand makes a full path around the hour. The hour hand was pointing directly at 3 at 3:00, but at 3:15 it has advanced 1/4 of the way between 3 and 4. The number of degrees between numbers 30 (because 360/12). That gives you 30/4 = 7.5. The number of degrees between the two hands is 7.5 degrees.
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Ques:- X and Y live in a North-South parallel street. X travels 10 km towards North to reach the east-west street . Y travels 6 km towards south to reach the east ?west street . X travels now 4km towards east and y travels 8km towards west and they met each other. What is the distance between x and y?
Recent Answer : Added by Admin On 2020-05-17 12:02:23:
20km
Ques:- Two trains are on same track and they are coming toward each other. The speed of first train is 50 KMs/h and the speed of second train is 70 KMs/h. A bee starts flying between the trains when the distance between two trains is 100 KMs. The bee first flies from first train to second train. Once it reaches the second train, it flies back to the second train ? and so on until trains collide. Calculate the total distance traveled by the bee. Speed of bee is 40 KMs/h. .
Recent Answer : Added by DK BOSS On 2021-07-15 09:17:12:
Answer: 66.67 km approx.
Solution:
Let the first train A move at u km/h.
Let the second train B move at v km/h.
Let the distance between two trains be d km
Let the speed of bee be b km/h
Therefore, the time taken by trains to collide = d/(u+v)
Now putting all the known values into the above equation, we get,
u = 50 km/hr
v = 70 km/hr
d = 100 km
b = 80 km/hr
Therfore, the total distance travelled by bee
= b*d/(u+v)
= 80 * 100/(50+70)
= 66.67 km (approx)
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Ques:- 12 revolutions takes 1/8 th second time.In 20 seconds how many revolutions?
Recent Answer : Added by Admin On 2020-05-17 12:03:14:
1920
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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