Sipnayan B

What is the sum of the multiples of 7 between 1 and 48?

In the book, Story of Toys, one particular chapter only has 6 pages. Each page has a page number and when the page numbers for this chapter are added, the total is 2019. What is the page number for the third page of this chapter?

Mr. Potato Head inspects 50 toys per day and Mrs. Potato Head can inspect 30 toys per day. They are put together to inspect 2000 toys. After 15 days, Mrs. Potato Head lost both of her eyes and the inspection is now left to Mr. Potato Head. Mrs. Potato Head finally found both of her eyes and at the same time, Mr. Potato Head finished inspecting the toys. How long did it take for Mrs. Potato Head to find both of her eyes?

Two prime numbers differ by 821. What is the product of those two prime numbers?

In the claw vending machine at Alien Pizza Planet, there are initially 2019 aliens. On the first day, the owner placed 2 additional aliens. On the second day, the owner placed 4 additional aliens. On the third day, the owner placed 6 additional aliens. If the owner continues this pattern, how many aliens would there be in the claw vending machine after 30 days?

Ralph has 2 children, Cisco and Shisuko. The sum of the ages of Ralph, Cisco, and Shisuko is 69. Cisco’s age is three times as large as Shisuko’s age. Ten years from now, Ralph’s age will be three times Shisuko’s age. Find the value of the product of Ralph’s and Cisco’s age now.

A pool has 14 identical pipes which can either pump water into the pool or drain water out of the pool. The pipe’s rate of draining water is half the rate of pumping water. If 4 pipes are switched on to drain water, the water in the pool can be drained in 15 minutes. How long would it take for the water in the pool be drained if 10 pipes are draining water out of the pool while 4 pipes are pumping water into the pool?

Buzz Lightyear got a correct answer by performing the following addition:

𝑋 𝑌 𝑍 + 𝑍 𝑌 𝑋 𝐴 𝐴 𝐴 𝐴

If 𝑋, 𝑌, 𝑍, and 𝐴 are distinct, nonnegative digits, how many three-digit numbers 𝑋𝑌𝑍 are there?

Mr. Potato Head’s Facebook password is 2019 characters long. The characters in Mr. Potato Head’s password are based the English alphabet letters A to Z and from the digits 0 to 9. If each character appears at least 3 times, what is the maximum number of occurrences of the letter R in Mr. Potato Head’s Facebook password?

When a student opened the pages of a book, he noticed that the product of the two page numbers less the sum of the two page numbers is equal to 55. What are the two page numbers?

Answer Format: _ and _