For the following questions answer them individually
The average age of 5 members of a family is 24 years. If the youngest member is 8 years old, then what was the average age (in years) of the family at the time of the birth of the youngest member?
If the price of pen decreases by 20%, then a man can buy 10 more pens for Rs 100. What is the new price (in Rs) of each pen?
After deducting 60% from a certain number and then deducting 15% from the remainder, 1428 is left. What was the initial number?
A train travels 40% faster than a car. Both start from point A at the same time and reach point B, 140 km away at the same time. On the way the train takes 25 minutes for stopping at the stations. What is the speed (in km/hr) of the train?
A certain sum of money triples itself in 5 years at simple interest. In how many years it will be five times?
If x + (1/x) = 2, then what is the value of $$x^{64}+x^{121}$$ ?
If $$x=6+2\sqrt{6}$$, then what is the value of $$\sqrt{x-1}+\frac{1}{\sqrt{x-1}}$$ ?
If a+b+c=27, then what is the value of $$(a-7)^{3}+(b - 9)^{3}+(c - 11)^{3}-3(a - 7)(b - 9)(c - 11)$$ ?
If $$x=\frac{2\sqrt{15}}{\sqrt{3}+\sqrt{5}}$$, then what is the value of $$\frac{x+\sqrt{5}}{x-\sqrt{5}}+\frac{x+\sqrt{3}}{x-\sqrt{3}}$$
The perimeter of an isosceles triangle is 32 cm and each of the equal sides is 5/6 times of the base. What is the area $$(in cm^{2})$$ of the triangle ?
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