Which of the following statements are true? A. If x : y = 3 : 1 then x³ − y³ = 10/11 B. If x = y + 12, x : y = 3 : 2 and z : y = 1 : 3, then z + x = 44 C. If 3x = 8y and 5y = 9z, then x/z = 72/15 Choose the most appropriate answer from the options given below:

The simple interest accrued on a sum of certain principal in 8 years at the rate of 13% per year is ₹6500. What would be the compound interest accrued on that principal at the rate of 8% per year in 2 years?

Average of a, b and c is 11; average of c, d and e is 17; average of e and f is 22 and average of e and c is 17. What is the average of a, b, c, d, e and f?

Given below are two statements: Statement I: The difference between the cost price and sale price of an article is ₹240. If the profit is 20%, then the selling price is ₹1440. Statement II: If the cost price of 10 DVDs is equal to the selling price of 7 DVDs, then the gain percen…

In the following diagram, if the shaded area is one half the area of triangle ABC and angle ABC is a right angle, then the length of line segment AD is (Diagram: right triangle ABC with the right angle at B; AB = x, hypotenuse AC = W; D lies on BC with BD = y and DC = z; triangle…

A and B started a business with investments of ₹4500 and ₹2700 respectively. Find the share of profit of A in the total annual profit of ₹256.

The least number of square tiles required to pave the floor of a room 15 m 91 cm long and 9 m 46 cm broad is

Given below are two statements: Statement I: A bag contains 10 white and 10 red face masks which are all mixed up. The fewest number of face masks you can take from the bag without looking and be sure to get a pair of the same color is 3. Statement II: The minimum number of stude…

Anil travelled 300 km by bus and 200 km by taxi. For this, it took him 5 hours and 30 minutes. However, if he travels 260 km by bus and 240 km by taxi then he takes 6 minutes more. The speed of the bus is ________ km/hour.