For the following questions answer them individually
A and B can complete a work in 80 days and 96 days, respectively. They completed the work in 32 days with the help of C. How manydays will C take to complete the entire work alone?
Asolid metallic cube of side 20 cm is melted and recast into a cuboid of length 40 cm and breadth 40 cm, Whatis the length (in cm)of the body diagonal of the cuboid?
A straight vertical pole was broken during a cyclonein such a waythatits top touched the ground at a distance of $$6\sqrt{3}$$ m from the bottom of the pole and made an angle of 30° with the horizontal. What wasthe height (in m) of the pole?
Study the given bar graph and answer the question that follows.
The average production in 2002 and 2003 was exactly equal to the average production in which of the following pairs of years?
Given that $$(2x + y)^3 - (x + 2y)^3 = (x - y)[A(x^2 + y^2) + Bxy]$$, the value of $$(2A - B)$$ is:
The average age of 125 students in a groupis 16.2 years. 40%of the students are boys andthe rest are girls. The average ageof the boys is 20% more than the averageageofthe girls. What is the average age(in years) of the boys?
Two sides of a triangle are 12.8 m and 9.6 m. If the heightof the triangle is 12 m. corresponding to 9.6 m, then what is its height (in m) correspondingto 12.8 m?
Asum of ₹2,432 amounts to ₹2,681.28 in 2 years at a certain rate per cent per annum, interest compounded yearly. What will be the simple interest (in ₹) on the same sum for $$4\frac{2}{8}$$ years at double the same rate?
A shopkeeper bought 40 dozen eggs at ₹1.40 each. 80 eggs were broken in transportation. He sold the remaining eggs at ₹1.60 each, Whatis his profit or loss per cent?
A solution contains acid and water in the ratio of 4 : 5. If 20%of the solution is replaced by water, then what will be the ratio of acid and water in the new solution?