The base of a solid right prism of height 10 cm is a square and its volume is 160 cm³. What is its total surface area of the prism (in cm²)?

The ratio of the monthly incomes of X and Y is 5: 4 and that of their monthly expenditures is 9: 7. If the income of Y is equal to the expenditure of X, then what is the ratio of the savings of X and Y?

If the diagonals of two squares are in the ratio of 2: 5, their area will be in the ratio of

On a river, Q is the mid-point between two points P and R on the same bank of the river. A boat can go from P to Q and back in 12 hours, and from P to R in 16 hours 40 min. How long would it take to go from R to P?

In an examination, 45% of all the students who appeared are boys and the rest are girls. If 60% of the boys and 70% of the girls passed, then what is the percentage of students who failed?

Shopkeeper sold an article after allowing two successive discounts of 15% and 20% on it. If shopkeeper earned 2% profit on selling the article and total discount allowed by him is Rs. 192, then find cost price of the article?

If cos(2θ+54°) = sinθ, 0°<(2θ-54°)<90°, then what is the value of $$1\over tan5θ+cosec{5θ\over 2}$$   

If p = 99, then value of p(p² + 3p + 3) is