Introduction

• Your mission is to determine how many baskets that contained a mango, by doing some elimination.
• Try solving the problem first with only your brain – no use of pen and paper, or other aid.
• Good luck!

Exercise

Eighteen baskets of fruit were laid out for sale in a shop and each bore a unique number, 1 to 18 inclusive. All of the odd-numbered baskets held apples and no pears – and all of the even-numbered baskets held pears and no apples.

Any basket with a number lower than 9 held strawberries but no cherries – and any basket numbered 9 or higher held cherries but no strawberries. Any basket numbered 13 or lower held bananas but no apricots – and any basket numbered 14 or higher held apricots but no bananas.

A pineapple was placed into those baskets with both pears and bananas, as well as those baskets with both cherries and bananas, plus those with both apples and apricots – and a mango was placed into all of the remaining baskets.

How many baskets contained a mango?

Click to view the correct answer (Member).

Introduction

• Your mission is to determine how many children that it took more than five minutes to find, by doing some elimination.
• Try solving the problem first with the brain only – no use of pen and paper, or other aid.
• Good luck!

Exercise

Twenty children were playing hide and seek in the park yesterday, with their teacher who counted to thirty before setting out to find them.

Of the total number of children, two fifths were boys and the rest girls. Three-quarters of the boys wore yellow jumpers, as did half of the girls. Of those remaining, half of the boys and half of the girls wore green jumpers, and every other child wore a blue jumper.

Half of the number of children in blue jumpers were found in under five minutes, as were half of the boys in yellow jumpers and two girls in green jumpers. Their teacher took longer than five minutes to find the rest of the children.

How many children took more than five minutes to be found by the teacher?

Click to view the correct answer (Member).

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Introduction

• Your mission is to determine how many dogs that wore green collars, by doing some elimination.
• Try solving the problem first with only your brain – no use of pen and paper, or other aid.
• Good luck!

Exercise

Fifteen dogs were taken for a walk in the park this morning.

Two were poodles, one greyhound and, of those remaining, one-third were labradors, four spaniels and the rest were retrievers.

One of each breed was a puppy and, of the adult dogs, two labradors, one spaniel and a retriever were wearing red collars, as were all of the puppies.

Of those dogs remaining, half of the spaniels and half of the retrievers wore blue collars. Any dog not yet accounted for wore a green collar.

How many dogs wore green collars?

Click to view the correct answer (Member).

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Introduction

• Your mission is to determine how many baskets that contained a mango, by doing some elimination.
• Try solving the problem first with only your brain – no use of pen and paper, or other aid.
• Good luck!

Exercise

Eighteen baskets of fruit were laid out for sale in a shop and each bore a unique number, 1 to 18 inclusive. All of the odd-numbered baskets held apples and no pears – and all of the even-numbered baskets held pears and no apples.

Any basket with a number lower than 9 held strawberries but no cherries – and any basket numbered 9 or higher held cherries but no strawberries. Any basket numbered 13 or lower held bananas but no apricots – and any basket numbered 14 or higher held apricots but no bananas.

A pineapple was placed into those baskets with both pears and bananas, as well as those baskets with both cherries and bananas, plus those with both apples and apricots – and a mango was placed into all of the remaining baskets.

How many baskets contained a mango?

Click to view the correct answer (Member).

Introduction

• Your mission is to determine how many kids that painted a green star, by doing some elimination.
• Try solving the problem first with only your brain – no use of pen and paper, or other aid.
• Good luck!

Exercise

Fourteen children (half of whom are boys and half girls) drew a shape and painted it. Five of the boys are eight years old, as are two of the girls. Of the remaining children, one boy and three girls are nine years old and all of the others are ten years of age.

Three of the boys aged eight and half of the girls aged eight painted blue squares. Of those remaining, red circles were painted by one-third of the nine-year-old girls and half of the eight-year-old boys. Of those remaining, any ten-year-old painted a yellow triangle. The rest of the children painted a green star.

How many painted a green star?

Click to view the correct answer.