Tag: math & puzzles

I have some pencils and some jars. If I put 4 pencils into each jar I will have one jar left over. If I put 3 pencils into each jar I will have one pencil left over. How many pencils and how many jars?

There are 2 trees in a garden (tree "A" and "B") and on the both trees are some birds. The birds of tree A say to the birds of tree B that if one of you comes to our tree, then our population will be the double of yours. Then the birds of tree B tell to the birds of tree A that if one of you comes here, then our population will be equal to that of yours. Now answer: How many birds in each tree?

Two trains A and B are moving in opposite directions with speeds of 40 km/h and 60 km/h respectively. The distance between the two trains is 50 kms. At what point the two trains meet?

Two people can complete a work in 12 days.Six people started working. In how many days can they complete the work.

There are five gears connected in a row, the first one is connected to the second one, the second one is connected to the third one, and so on. If the first gear is rotating clockwise what direction is the fifth gear turning?

Three sisters are identical triplets. The oldest by minutes is Sarah, and Sarah always tells anyone the truth. The next oldest is Sue, and Sue always will tell anyone a lie. Sally is the youngest of the three. She sometimes lies and sometimes tells the truth. Victor, an old friend of the family's, came over one day and as usual he didn't know who was who, so he asked each of them one question. Victor asked the sister that was sitting on the left, "Which sister is in the middle of you three?" and the answer he received was, "Oh, that's Sarah." Victor then asked the sister in the middle, "What is your name?" The response given was, "I'm Sally." Victor turned to the sister on the right, then asked, "Who is that in the middle?" The sister then replied, "She is Sue." This confused Victor; he had asked the same question three times and received three different answers. Who was who?

There are five gears connected in a row, the first one is connected to the second one, the second one is connected to the third one, and so on. How much faster would the last gear be if the second gear was twice the size of the first gear, and all the other gears were the same size as the first gear

There's a toy boat floating in a pool. Place a lead ball in the boat (without sinking it), and measure the level of water in the pool. Now take the ball out of the toy boat and drop it into the pool, and measure the water's level again. Will there be diffrence in water level, if Yes, then which will be higher.

A bicycle rider went a mile in three minutes with the wind, and returned in four minutes against the wind. How fast could he ride a mile if there was no wind?

A man is standing at a point o. The man turned towards east and walked for 12 kms. Then he turned his left and walked for 15 kms.Then he turned his right and walked for 10 kms.Then he turned to see his starting point 'O'. Now in which direction the man is facing?