All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info
Home
Welcome to perplexus.info, flooble's perplexing puzzle portal. Here, we collect all sorts of puzzles, from simple logic questions and word tricks to in-depth math problems like probability and geometry. Click around and see if your brain is up to the task! If you're new here, make sure you sign up so that you can leave comments and submit your own problems!
> Logic (1)> Probability> Shapes (1)> General
> Numbers> Games> Paradoxes> Riddles (1)
> Just Math> Science> Algorithms
Difficulty: 3 of 5 Latest: Uncommonly Common (in Riddles)
What do these five actors/actresses have in common?
  • Julia Roberts
  • Jason Bateman
  • Bruce Willis
  • Angelina Jolie
  • Vincent D’Onofrio
(No Solution Yet, 0 Comments) Submitted on 2014-10-25 by K Sengupta   
Difficulty: 4 of 5 Bonus: West Side Story (in Numbers) Rating: 3.25
Does 9 appear as the leftmost digit in the decimal representation of any power of 2?

Does 7 appear as the leftmost digit in the decimal representation of any power of 37?

Is it possible to find a power of any counting number that has a given digit as its leftmost digit?

Also, is it possible to find a power of any counting number that begins with a given series of digits (e.g., is there a power of 24 that begins with 937)?

Prove that this is possible, or give a counter-example.

Bonus: What percentage of the powers of 2 have 1 as their leftmost digit?

Note: In finding the powers of "any counting number," exclude powers of ten, whose leftmost digit is always 1.

(No Solution Yet, 7 Comments) Submitted on 2004-02-15 by DJ   
Difficulty: 3 of 5Area Ascertainment II (in Shapes) Rating: 4.00
Posted on 2014-10-24 by K Sengupta (No Solution Yet, 5 Comments)
Difficulty: 2 of 5Performance Probe (in Logic)
Posted on 2014-10-24 by K Sengupta (No Solution Yet, 1 Comments)
Difficulty: 3 of 5Curious concatenations (in Numbers)
Posted on 2014-10-23 by Ady TZIDON (No Solution Yet, 1 Comments)
Difficulty: 3 of 5Extending tic-tac-toe (in Just Math)
Posted on 2014-10-23 by Ady TZIDON (No Solution Yet, 6 Comments)
Difficulty: 4 of 5 Beaujolais Nouveau Day (in Probability) Rating: 4.00
Posted on 2014-10-22 by Ady TZIDON (No Solution Yet, 7 Comments)
Difficulty: 1 of 5One by two (in Numbers)
Posted on 2014-10-22 by Ady TZIDON (No Solution Yet, 4 Comments)
Difficulty: 3 of 5Distinct Decimal Digits (in Numbers)
Posted on 2014-10-21 by Ady TZIDON (No Solution Yet, 1 Comments)
Difficulty: 3 of 5Farmer Giles (in Just Math)
Posted on 2014-10-21 by Ady TZIDON (No Solution Yet, 4 Comments)
Difficulty: 3 of 5Cuisine Conclusion II (in Word Problems) Rating: 5.00
Posted on 2014-10-20 by K Sengupta (No Solution Yet, 5 Comments)
Difficulty: 2 of 5Switch Settlement (in Logic)
Posted on 2014-10-20 by K Sengupta (No Solution Yet, 3 Comments)
Difficulty: 3 of 5Geometric, Arithmetic and Harmonic Harness (in Sequences) Rating: 3.00
Posted on 2014-10-19 by K Sengupta (No Solution Yet, 3 Comments)
Difficulty: 3 of 5Cot Ratio Conclusion (in Just Math)
Posted on 2014-10-18 by K Sengupta (No Solution Yet, 2 Comments)
Difficulty: 3 of 5Conic Triangle (in Geometry)
Posted on 2014-10-17 by Bractals (Solution Posted, 3 Comments)
Difficulty: 2 of 5What is missing? (in Sequences)
Posted on 2014-10-17 by Ady TZIDON (No Solution Yet, 1 Comments)

Recently Posted Solutions:
Difficulty: 3 of 5Conic Triangle (in Geometry)
Submitted By Bractals. Solution posted on 2014-10-18 11:08:54
Difficulty: 3 of 5Guessing ages (in Tricks)
Submitted By Ady TZIDON. Solution posted on 2014-10-15 11:07:24
Difficulty: 3 of 5Circles at a point. (in Geometry)
Submitted By broll. Solution posted on 2014-10-14 07:40:35
Difficulty: 3 of 5Next word, please (in Sequences)
Submitted By Ady TZIDON. Solution posted on 2014-10-12 22:44:24
Difficulty: 2 of 5Only one basic solution II (in General)
Submitted By Ady TZIDON. Solution posted on 2014-10-12 22:03:02
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (2)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2014 by Animus Pactum Consulting. All rights reserved. Privacy Information