Math Puzzles and Logic Problems
A collection of challenging math and logic puzzles including word problems, probability, set theory, sequences, and pattern recognition exercises
Questions
The HCF of 3 & PI is
- 3 PI
- 9.42
- 1
- Answer doesn't exist
5,25,61,113,181,?
- 255
- 265
- 235
- 225
8,48,120,224,360,?
- 528
- 538
- 548
- 518
2,72,450,1568,?
- 5050
- 3050
- 4050
- 2050
25,64,144,324,576,?
- 1089
- 1024
- 961
- 900
1,4,4,16,4,16,4,16,?
- 64
- 36
- 4
- 16
A girl, a boy, and a dog start walking down a road. They start at the same time, from the same point, in the same direction. The boy walks at 5 km/h, the girl at 6 km/h. The dog runs from boy to girl and back again with a constant speed of 10 km/h. The dog does not slow down on the turn. How far does the dog travel in 1 hour?
- 5km
- 6km
- 10km
- 1km
If it were two hours later, it would be half as long until midnight as it would be if it were an hour later. What time is it now?
- 9 a.m.
- 9 p.m.
- 3 p.m.
- 3 a.m.
You have a balance and the following items of which you know the weights: a small coin weighing 5g, a pen weighing 10g, an eraser weighing 20g, a holepunch weighing 40g, and a stapler weighing 80g. How many different possible weights can you measure with these items?
- 15
- 30
- 31
- 20
A pool has four taps. The first tap takes two days to fill the pool, the second tap three days, the third four days and the last one only 6 hours. How long will it take to fill the pool using all 4 taps at once?
- 4 hours 43 minutes and 18 seconds.
- 4 hours 50 minutes and 17 seconds.
- 3 hours 43 minutes and 17 seconds.
- 4 hours 43 minutes and 17 seconds.
The founders of Hairytown decreed years ago that: 1. No two people can have the same number of hairs 2. No one can have 999 hairs. 3. No one can have more than, or the same number of hairs as, the population of the town The town has now reached its maximum population - what is it?
- 998
- 999
- 1000
- 1001
B,C,E,G,K,M,?
- Q
- O
- S
- U
A,B,B,D,C,F,D,?
- I
- H
- J
- F
A,K,F,P,K,U,?
- K
- P
- E
- Z
A,Q,V,L,Q,G,L,?
- B
- G
- Q
- V
(A,C),(B,E),(C,H),(D,K),(E,P),(F,?)
- S
- O
- Q
- W
In a group of 15, 7 have studied Latin, 8 have studied Greek, and 3 have not studied either, how many of these studied both Latin and Greek.
- 3
- 4
- 5
- 7
You have three bags, each containing two marbles. Bag A contains two white marbles, Bag B contains two black marbles, and Bag C contains one white marble and one black marble. You pick a random bag and take out one marble. It is a white marble. What is the probability that the remaining marble from the same bag is also white?
- 1/2
- 3/4
- 2/3
- 1/4
A solid, four-inch cube of wood is coated with blue paint on all six sides. Then the cube is cut into smaller one-inch cubes.These new one-inch cubes will have either three blue sides, two blue sides, one blue side, or no blue sides. How many of each will there be with no sides colored?
- 4
- 8
- 24
- 12
Maria have some blueberries and some cups. If she put 9 blueberries into each cup she will have two cups left. If she put 6 blueberries into each cup she will have three blueberries left over. How many blueberries & Cups are there?
- 35,7
- 45,7
- 45,9
- 35,9