For the following questions answer them individually
With average speed of 40 km/hour, a train reaches its destination in time. If it goes with an average speed of 35 km hour, it is late by 15 minutes. The total journey is
A man makes a profit of 20% on the sale by selling 20 articles for Rs. 1. The number of articles he bought by Rs. 1 is
The number of seats in an auditorium is increased by 25%. The price of a ticket is also increased by 12%. Then the increase in revenue collection will be
A ship is moving at a speed of 30 km/hr. To know the depth of the ocean beneath it, it sends a radio wave which travels at a speed 200 m/s. The ship receives the signal after it has moved 500 m. The depth of the ocean is
A person takes a loan of Rs. 10,0000 partly from a bank at 8% p.a. and remaining from another bank at 10% p.a. He pays a total interest of Rs. 950 per annum. Amount of loan taken from the first bank (in Rs.) is
If $$x = 1 + \sqrt{2} + \sqrt{3}$$ , then the value of $$(2x^4 - 8x^3 - 5x^2 + 26x- 28)$$ is __?
If $$x + \frac{1}{x} =5$$, then the value of $$\frac{x^4 + \frac{1}{x^2}}{x^2 - 3x +1}$$ is
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