Consider the following three statements. (i) Doubling a positive number always makes it larger. (ii) Squaring a positive number always makes it larger. (iii) Taking the positive square root of a positive number always makes it smaller. Which statements are true?
Select one option, then click Submit.
All three
None
Only (i)
(i) and (ii)
(ii) and (iii)
Select an option, then submit.
Sign in or create an account to reveal answers, view the solution, and save your progress. Create a free account to unlock practice and keep track of your work.
Junior Mathematical Challenge (2017)
One puzzle per day. Cryptarithm, Magic Square, Summit. No sign-up required to play.
Play daily puzzle →Interactive problems and curated lessons—water pouring, magic squares, knight's tour, and more.
Browse library →See how you rank. Top solvers by problems solved correctly. Sign in to climb the ranks.
View leaderboard →Junior Mathematical Challenge (2017)