In △ABC, D and E are points on sides AB and AC, such that DE||BC. If AD=x+3, DB=2x-3, AE=x+1 and EC=2x-2, then the value of x is

A kite in the shape of a square with a diagonal 32 cm attached to an equilateral triangle of the base 8 cm. Approximately how much paper has been used to make it? (Use √3 = 1.732)

The income of Aman is Rs. 30,000 per month and his expenditure is Rs. 20,000 per month. In the next month, his income increases by Rs. 10,000 per month, and expenditure increases to Rs. 25,000 per month. In the next month, his savings increases by what percent?

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?

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)?

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?