For the following questions answer them individually
If 16 men working 12 hours a day can complete a work in 27 days, then working for how many hours a day can 18 men complete the work in 24 days ?
If $$\sin \theta + \cosec \theta = 2$$, then what is the value of $$\sin^{153} \theta + \cosec^{253} \theta$$ ?
If $$(x + y)^{\frac{1}{3}} + (y + z)^{\frac{1}{3}} = -(z + x)^{\frac{1}{3}}$$, then $$(x^3 + y^3 + z^3)$$ can be expressed as:
A borrows a sum of ₹1,000 from his friend B on 31st December 2015 on the condition that he will return the same after one year with simple interest at 12% per annum. However, A gets into a position of returning the money on 1st May 2016. How much amount the has to return to B ?
The given Bar Graph presents the runs scored (A) and strike rate (B) of a batsman in five matches. Strike Rate is the number of runs scored per 100 balls faced. The strike rate (B) is taken on record only when the batsman scores at least 30 runs in a match.
How many balls did the batsman face in the third match?
Twelve sticks, each of length one unit, are used to form an equilateral triangle. The area of the triangle is:
₹8,000 is distributed among A, B and C suchthat they receive notes of ₹500, ₹200 and ₹100 respectively. The amounts received by them arein the ratio 15 : 2 : 3. What was the ratio of the number of notes of ₹500, ₹200 and ₹100?
A regular hexagon is inscribed in a circle. What is the ratio of the area of the circle to that of its portion not covered by the hexagon ?