Advanced Logic and Number Puzzles
A collection of demanding quantitative riddles designed to test analytical skill and mathematical insight without any markdown formatting.
Quiz Questions
Answer all questions below and test your knowledge.
- 1
A rectangular grid 4×5 is tiled with 1×2 dominoes. In how many distinct ways can the grid be completely covered?
- 2
Find the smallest positive integer that leaves a remainder one less than each divisor from 2 through 10.
- 3
A circle is inscribed in a square of side 10. What is the area of the region inside the square but outside the circle?
- 4
Two numbers have a harmonic mean of 12 and an arithmetic mean of 20. What is their product?
- 5
In a sequence each term after the first is obtained by adding the previous term's digit sum. Starting with 7, what is the seventh term?
- 6
A cube has edge length a. A sphere is inscribed inside the cube, and another sphere circumscribes the cube. What is the ratio of the volume of the inscribed sphere to that of the circumscribed sphere?
- 7
A fair six‑sided die is rolled three times. What is the probability that the sum of the three results equals 10?
- 8
Find the next number in the series: 2, 12, 60, 360, ?
- 9
A regular hexagon tiled by unit equilateral triangles has side length 3. How many unit triangles compose the hexagon?
- 10
Consider the function f(x)=x³‑3x+1. How many real roots does it have?
Never miss a quiz!
Daily challenges on Telegram
Check These Out Too
Iconic Movie Quotes Quiz
How well do you know your movie lines? See if you can match these famous quotes to their films!
80s Movie Mania: The Ultimate Trivia Gauntlet
Think you know your 'Back to the Future' from your 'Blade Runner'? Prove your 80s movie mastery with these challenging questions!
Can You Name These Capital Cities?
Put your global knowledge to the test! Match the country to its capital city.
Easy Music Trivia Challenge!
Think you know music? Let's find out with this super easy trivia quiz!
History's Hidden Chapters: A Scandalous Quiz
Dive deep into the annals of time and test your knowledge of history's most surprising secrets and scandalous events. Are you ready for the truth?
Idioms & Phrases Challenge
How well do you know common English idioms and phrases? Let's find out!