Algebraic Expressions & Identities Test - 2

Sahil works as a postman. He gets paid for his work based on a formula: 3l(4l - 5) + 3, where l is the number of letters he delivers. If he delivers 5 letters on Monday, then how much (in Rs.) will he get paid for it?

Katie makes two rectangular boxes. One box has a length, breadth and height of 5a, 3a² and 7a⁴, respectively, while the other box has a length, breadth and height of xy, 2x²y and 2xy², respectively. Now, she joins them together to make a new rectangular box. Find the volume of the new box.

Sumit opens a new account in ABS bank. In the first month, he deposits amount p in his account. In the second month, he deposits amount p² in his account. In the third month, he deposits thrice the amount deposited by him in the first month. In the fourth month, he deposits an amount equal to the product of amounts deposited by him in the last three months. Find the amount deposited by him in the fourth month.

A tortoise and a rabbit were having a race. For every (k(k - j) + j(j - h)) kilometres covered by the tortoise, the rabbit covered three times that distance and an extra h(h - k) kilometres. Find the distance travelled by the rabbit for every (k(k - j) + j(j - h)) kilometres covered by the tortoise.