Logic questions 1
I am a three-digit number.
My hundreds digit is 4.
My tens digit is 2.
My ones digit is 3 times the tens digit.
What number am I?
426
A clock shows 3:15.
What is the angle between the hour hand and the minute hand?
7.5°
Is 0.999… equal to 1?
Yes. It is exactly equal to 1.
How many sides does a dodecagon have?
12
What is the remainder when 7² is divided by 5?
4
There are 3 red balls and 3 blue balls.
With your eyes closed, what is the minimum number of balls you must take
to be sure you have 2 balls of the same color?
3 balls
You have 12 coins. One coin is fake and has a different weight (could be heavier or lighter).
What is the minimum number of weighings needed to find the fake coin and tell if it’s heavier or lighter?
3 weighings
Why is π irrational?
Because it cannot be written as a fraction and its decimals never end or repeat.
What is the smallest three-digit number?
100
What is the least common multiple (LCM) of 6 and 8?
24
If today is Wednesday,
what day will it be in 100 days?
Friday
A snail climbs a 10 m wall.
Each day it climbs 3 m, but each night it slips down 2 m. How many days will it take to reach the top?
8 days
What is a googol?
The number 1 followed by 100 zeros.
What is the next prime number after 7?
11
What is the greatest common divisor (GCD) of 36 and 48?
12
5 people solve 5 problems in 5 minutes.
How many minutes will it take 100 people to solve 100 problems?
5 minutes
You are in a dark room with:
1 candle
1 fireplace
1 gas lamp
You only have one match. What do you light first?
The match
What is the only even prime number?
2
What do you call a triangle with two sides equal?
An isosceles triangle.
What is the value of 0.125 as a fraction in simplest form?
1/8
A patch of lily pads doubles in size every day.
If it takes 48 days to cover the whole lake,
how many days does it take to cover half the lake?
47 days
You flip a fair coin 5 times and get 5 heads in a row.
What is the probability that the next flip is heads?
50%
What is the sum of the angles in a quadrilateral?
360°
What is the smallest prime number greater than 100?
101
How many prime numbers are there between 10 and 20?
4. (11, 13, 17, 19)