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🧠 Logic Puzzles: 10 Math and Pattern Challenges to Sharpen Your Mind

Think your brain is ready for a real stretch? These 10 logic puzzles will test your sense of numbers, sequences, and reasoning. They look simple – until they aren’t. Tap to reveal the answers and see how far you can go without guessing!


Question 1 – The Missing Dollar
Three friends pay $30 for dinner. The waiter returns $5 because of a discount. They each take $1 back and give the waiter $2 as a tip.
They paid $9 each – $27 total – plus $2 tip = $29. Where’s the missing dollar?
👉 Click to see the answer

There’s no missing dollar! The $27 already includes the $2 tip. $25 (meal) + $2 (tip) + $3 (returned) = $30.

Question 2 – The 100 Doors Problem
There are 100 closed doors in a hallway. You open every second door, then every third, then every fourth, and so on until the 100th round. Which doors remain open?
👉 Click to see the answer

Only the doors with perfect square numbers (1, 4, 9, 16, 25…). They’re toggled an odd number of times.

Question 3 – The Clock Hands
How many times do the hour and minute hands form a straight line (180° apart) in 12 hours?
👉 Click to see the answer

22 times – twice every hour except when they overlap exactly at 12 o’clock.

Question 4 – The Apple Baskets
You have 10 baskets of apples. Nine weigh 10 kg each, but one weighs 9 kg. You have a scale – but only one chance to use it. How do you find the lighter basket?
👉 Click to see the answer

Take 1 apple from basket 1, 2 from basket 2, and so on. If all were 10 kg, the weight would be 550 kg. Each gram less shows which basket is lighter.

Question 5 – The Two Trains
Two trains start 100 km apart and move toward each other at 50 km/h each. A bird flies between them at 100 km/h until they meet. How far does the bird travel?
👉 Click to see the answer

They meet in 1 hour (100 km ÷ 100 km/h). The bird flies 100 km total.

Question 6 – The Missing Page
A book has its pages numbered 1 to 100. If one page is missing, and the sum of all remaining numbers is 4,949, which page is missing?
👉 Click to see the answer

The total sum of 1-100 is 5,050. 5,050 – 4,949 = 101 – impossible page, right? Trick: pages are printed double-sided! The missing sheet had pages 50 and 51.

Question 7 – The Two Clocks
One clock loses one minute every hour, another gains one minute every hour. How long until they show the same time again?
👉 Click to see the answer

They differ by 2 minutes every hour. They’ll show the same time again in 6 hours × 30 = 360 hours (15 days).

Question 8 – The Family Puzzle
A man says: “Two fathers and two sons went fishing. Each caught one fish, yet they only brought home three fish.” How is that possible?
👉 Click to see the answer

They’re three people – grandfather, father, and son. Three generations, three fish.

Question 9 – The Light Switch
You’re in a room with two light bulbs outside and two switches inside. How can you tell which switch belongs to which bulb if you can only check once?
👉 Click to see the answer

Turn on the first switch for a few minutes, then turn it off and turn on the second. Go outside – one bulb is on (switch 2), one is warm (switch 1).

Question 10 – The Strange Equation
If 1 = 3, 2 = 3, 3 = 5, 4 = 4, and 5 = 4, what does 6 equal?
👉 Click to see the answer

Three. The numbers represent the number of letters in their English words: one (3), two (3), three (5), four (4), five (4), six (3).

🎯 Final Challenge
Count your correct answers.
If you solved at least 7 without peeking – your logic is sharper than most people’s coffee. ☕

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