For the following questions answer them individually
The sum of $$\frac{1}{x + y}$$ and $$\frac{1}{x - y}$$ is
The LCM of two numbers is 12 times their HCF. The sum of the HCF and LCM is 403. If one of the number is 93, then the other is
The average marks of 14 students was 71. It was later found that the marks of one of the students has been wrongly entered as 42 instead of 56 and of another as 74 instead of 32. What is the correct average?
A can do half of a piece of work in 1 day, whereas B can do full. B can do half the work as C in 1 day. The ratio of their efficiencies of work is
If $$x = 5$$, then the value of the expression $$x^2 - 2 + \left(\frac{1}{x^2}\right)$$ is
If $$a + \left(\frac{1}{a}\right) = -1$$, then the value of $$(1 - a + a^2)(1 + a - a^2)$$ is
Base of a prism of height 10 cm is square. Total surface area of the prism is 192 sq. cm. The volume of the prism is
15 men can finish a work in 20 days, however it takes 24 women to finish it in 20 days. If 10 men and 8 women undertake to complete the work, then they will take
A low land, 48 m long and 31.5 m broad is raised to 6.5 dm. For this, earth is removed from a cuboidal hole, 27 m long and 18.2 m broad, dug by the side of the land. The depth of the hole will be
A man rows to a place 60 km away and back in 13 hours 30 minutes. He finds that he can row 5 km with the stream in the same time as he can row 4 km against the stream. Find the rate of the stream.
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