An arithmetic sequence is a sequence of numbers a_{1}, a_{2}, a_{3},... where a_{n} - a_{n-1} has the same value for every n. For example, 2, 4, 6, 8, 10,....is such a sequence where the difference between any 2 consecutive numbers is 2. Given, a, b, c, d, and e are consecutive numbers in such a sequence and a + b + c + d + e = 80. What is the value of c?

Homoud, Nora, Vincent, and Zoeyy all celebrated their birthdays today. Homoud is 5 years older than Nora, Nora is 6 years younger than Vincent, and Zoeyy is 7 years older than Homoud. Which of the following could be the combined age of all of them today?

If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 1:2, then find the greater of the two angles.

A mouse is walking around the periphery of a right-angled triangle shown in the picture. Find the distance traveled by the mouse in 4 rounds. (All units are in meters)

A dog takes 4 rounds of the field shown in the picture.

120 m

40 m

The number expression given below shows the distance covered by the dog. 4 × P = Q m = R km Find the value of P, Q and R where P is the perimeter of the field, Q is the total distance traveled by the dog in meters and R is the total distance traveled by the dog in kilometers.

A poultry farm produced 21y^{2} + 4y - 4 eggs in a year. It packed 6y^{2} + 2y - 6 eggs and sent them to market, while 9y^{2} + 2y + 9 eggs got destroyed. How many eggs are left in the poultry farm?

A shopkeeper mixes two variants of wheat in the ratio 2:3. The first variant costs 25 per kg, while the other costs 20 per kg. If the mixed wheat is sold at the price of 18.7 per kg then find the profit/loss percent incurred by shopkeeper.

Asami had some packs of cards (each pack contains 9 cards). She gave away 19 cards to her friend Abuahmed. If b is the number of packs Asami originally had, how many cards are left with Asami?