For the following questions answer them individually
Simplify: $$\frac{0.0347 \times 0.0347 \times 0.0347 + (0.9653)^3}{(0.0347)^2 - (0.347)(0.9653) + (0.9653)^2}$$
A copper wire is bent in the form of an equilateral triangle, and has an area $$121\sqrt{3}$$ cm2Â . If the same wire is bent into the form of a circle, the area(in cm2) enclosed by the wire in(Take $$\pi = \frac{22}{7}$$)
A child reshapes a cone made up of clay of height 24 and radius 6cm into a sphere. The radius (in cm) of the sphere is
Water flows into a tank which is 200m long and 150m wide, through a pipe of cross-section $$0.3m \times 0.2m$$ at 20 km/hour. Then the time (in minutes) for the water level in the tank to reach 8cm is
Two equal vessels are filled with the mixture of water and milk in the ratio of 3:4 and 5:3 respectively. If the mixtures are poured into a third vessel, the ratio of water and milk in the third vessel will be
I am three times as old as my son. 15 years hence, I will by twice as old as my son. The sum of our ages is
Three bells ring simultaneously at 11 a.m. They ring at regular intervals of 20 minutes, 30 minutes, 40 minutes respectively. The time when all the three ring together next is
A and B together can do a works in 12 days. B and C together do it in 15 days. If A's efficiency is twice that of C, then the days required for B alone to finish the work is
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