Ques:- The distance between Delhi and Mathura is 110 kms. A starts from Delhi with a speed of 20 kmph at 7 a.m. for Mathura and B starts from Mathura with a speed of 25 kmph at 8 p.m. from Delhi. When will they meet?
Recent Answer : Added by Admin On 2022-09-29 17:51:25:
Distance covered by B to meet A=Total distance – Distance covered by A hrs
[using : distance = speed x time]
Putting value of from equation (1),
hrs
Therefore, time at which both A and B will meet is = 7 a.m. + 3 hrs =10 am
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Ques:- In an exam, Amar scored 64 percent, Bhavan scored 36 percent and Chetan 44 percent. The maximum score awarded in the exam is 800. Find the average mark scored by all the three boys?
Recent Answer : Added by Atif On 2022-12-05 16:13:45:
600
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:- Three partners A, B, C start a business. Twice A’s capital is equal to thrice B’s capital and B’s capital is four times C’s capital. Out of a total profit of Rs.16,500 at the end of the year B’s share is
A. Rs. 4000
B. Rs. 5000
C. Rs. 6000
D. Rs. 6600
Recent Answer : Added by narendra On 2022-09-22 16:43:11:
C. Rs. 6000
Ques:- Two pipes A and B together can fill a cistern in 4 hours. Had they been opened separately, then B would take taken 6 hours more than A fill the cistern. How much time will be taken by A to fill the cistern separately?
Recent Answer : Added by Vemula Rohan Kumar Reddy On 2021-09-25 16:19:51:
A takes 6 hours to fill
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Ques:- Eight persons – P, Q, R, S, T, U, V and W are sitting around a circular table. S is to the immediate right of W. V is not next to either R or T. W is to the immediate right of T, who is sitting opposite to R. U and W are sitting opposite to each other. Who is sitting opposite to S?
Recent Answer : Added by Dolly chawla On 2021-10-19 16:10:29:
V is sitting opposite to s
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Ques:- If it is possible to make only one meaningful word with the second, the third, the sixth and the eighth letters of the word FRAGMENT, using each letter only once, then which of the following will be the third letter of that word? If no such word can be formed, the give ‘X’ as the answer and if more than one such words can be formed, then give ‘Y’ as the answer.
Recent Answer : Added by Kingsley On 2022-08-14 16:31:29:
Y
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Recent Answer : Added by Atif On 2022-12-05 16:13:35:
400
Ques:- If x/y=4 and y is not '0' what % of x is 2x-y(a)150%(b)175%(c)200%(d)250%
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Ques:- A train travelling at a speed of 90 km/hr, crosses a pole in 10 seconds. The length of the train is
A. 100 m
B. 150 m
C. 250 m
D. 900 m
Recent Answer : Added by vineet kumar On 2022-08-14 16:44:48:
Train speed 90 km /h
1st we have to change in m/s. then 90*5/18=25m/s
Then d=speed*time
=25*10=250m train length
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Ques:- How many 3 digit numbers are those in between 100 and 300, having first and the last digit as 2?
A. 9
B. 10
C. 11
D. 12
Recent Answer : Added by unknown On 2022-03-09 16:39:56:
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Distance covered by B to meet A=Total distance – Distance covered by A hrs
[using : distance = speed x time]
Putting value of from equation (1),
hrs
Therefore, time at which both A and B will meet is = 7 a.m. + 3 hrs =10 am