Algebra

How many terms of the arithmetic progression 2, 7, 12,... should be taken so that their sum equals 354?

If a -1/a = 2 what is a³ – 1/a³?

If x and y are negative integers and x - y = 1, what is the least possible value for xy?

Out of two numbers, 4 times the smaller one is less than 3 times the larger one by 5. If the sum of the numbers is larger than 6 times their differences by 6, find the two numbers.

If y/x = 3/7and x+2y = 13 then y is -

The population of bacteria in an experiment was only two in the first day. If each day the population increases by 3, what will be the number of bacteria in 100th day?

If a + b + c = 12, a + b = 4 and a + c =7, what is the value of a?

If n is integer, then which of the following must be even?

x² - 25 = 12, x + 5 = 4, x - 5 = ?

A boat goes 13 km upstream (against current) in 39 minutes. The speed of stream (current) is 3 km/hr. What is the speed of the boat in still water?

A picnic attracts 240 persons. There are 20 more men than women and 20 more adults than children. How many men are at this picnic?

In the coordinate plane, line m passes through the origin and has a slope of 3. If points (6, y) and (x, 12) are on line m, then y - x = ?

If a + 2b = 6 and ab = 4 what is 2/a + 1/b?

A gas tank is 1/5^th full and requires 32 gallons more to make it 3/7 full. What is the capacity of the tank?

If a > b > 1, then which of the following is true?

If 75% students of a class answered the 1st question on a certain test correctly, 55% answered the 2nd question on the test correctly and 20% answered neither of the questions correctly, what percent answered both correctly?

A man could buy a certain number of notebooks for Tk. 300. If each notebook cost is Tk. 5 more, he could have bought 10 notebooks less for the same amount. Find the price of each notebook?

The average of A and B is 30, and the average of B and C is 20. What is the value of (A - C)/2?

y² - 15y + 56 = 0, then y = ?

A bicycle company makes five styles of bikes in seven different colors. How many different bicycles can the company make when considering both style and color?