If a wire is bent into the shape of a square, the area of the square is 81 sq. cm. When the wire is bent into a semicircular shape, the area of the semicircle is 

The No. of mangoes on three baskets are in the ratio of 3 : 5 : 7. In which ratio the no. of mangoes in first two baskets must be increase so that the new ratio becomes 5 : 6 : 8.

The smallest perfect square divisible by each of 6, 12 and 18 is : 

Mr. Tiwari invested Rs.25000 in two fixed deposits X and Y offering compound interest at 6% per annum and 8% per annum, respectively. If the total amount of interest accrued in two years through both fixed deposits is Rs.3518, then the amount invested in scheme X is -

The sum of a positive integer and its square is 2450. The positive integer is : 

The average of eight successive numbers is 6.5. The average of the smallest and the greatest numbers among them will be: 

If α and β are the roots of equation x² - 2x + 4 - 0, then what is the equation whose roots are α³/β² and β³/α²?