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Calculate $\sqrt{2 + \sqrt{2 + \sqrt{2 + \dots}}}$
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More Old MCQ
Orphaned Multiple Choice Questions (MCQ) due to changes of exam system.
An angle of a triangle is four times as large as another and 45° more than the third angle. Find the angle.
Three times Dick's age plus Tom's age equals twice Harry's age. Double the cube of Harry's age is equal to three times the cube of Dick's age added to the cube of Tom's age. Their respective ages are relatively prime to each other. How old is Harry?
In a prison camp, 100 soldiers have been given provisions good only for 10 days. If five soldiers die every day, except on the first day, in how many days will the provisions last?
Alvin can do a piece of work in 9 days. Briggs is 50% more efficient than Alvin. The number of days it takes Briggs to do the same piece of work is:
The ratio of two numbers is 6:7. If the large number is 42, what number is the smaller one?
A group of dancers consists of x boys and x girls. If two of the boys are replaced by two girls, then 48% of the group members will be boys. Find the original value of the boys.
Amy can walk 4 km in the time it takes Baron to walk 5 km. Amy requires 3 minutes longer than Baron to walk a kilometer. Find the rate of Amy.
Find the sum of the first terms of the progression 2, 4, 8, 16,…
9. Two cities A and B are 30 km apart. From both of these cities, simultaneously, two hikers start their journeys towards each other.
Determine the amplitude of $y = 4 \cos 2x$.
A truth serum given to a suspect is known to be 90% reliable when the person is guilty and 99% reliable when the person is innocent.
Determine the value of x if log (x^3 - 1) - log (x^2 + x + 1) = 1.
A pipe can alone fill a tank in 5 hours, while a drain could do the contrary in 12 hours.
Evaluate (2 \cis 20^\circ)^3
Find the sum of $$ 1 + 2\left( \dfrac{1}{3} \right) + 3\left( \dfrac{1}{3} \right)^2 + 4\left( \dfrac{1}{3} \right)^3 + \ldots + n\left( \dfrac{1}{3} \right)^{n - 1} + \dots $$
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