TRICKY MATHS PUZZLES – WITH ANSWERS – PART – III

This blog explains about TRICKY MATHS PUZZLES – WITH ANSWERS – PART – III . Some of them are given below :

We have already discussed about some puzzles in the previous blogs TRICKY MATHS PUZZLES – WITH ANSWERS – PART – I & II .

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1. Two fathers and two sons sat down to eat eggs for breakfast . They ate exactly three eggs, each person had an egg. How is this possible ?

ANSWER :

 One of the father is a grandfather and other one is a son of the grandfather . So there are actually one grandfather, one father and a grandson     

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    2.   Three guys rent a hotel room for the night. When they get to the hotel they pay the $$\$30 $$ fee, then go up to their room. Soon the bellhop brings up their bags and gives the lawyers back $5 because the hotel was having a special discount that weekend. So the three lawyers decide to each keep one of the $5 dollars and to give the bellhop a $2 tip. However, when they sat down to tally up their expenses for the weekend the could not explain the following details:

Each one of them had originally paid $10 (towards the initial $30), then each got back $1 which meant that they each paid $9. Then they gave the bellhop a $2 tip.

HOWEVER, 3 • $9 + $2 = $29The guys couldn’t figure out what happened to the other dollar. After all, the three paid out $30 but could only account for $29.

 ANSWER 

They did NOT spend $9 • 3 + $2.

They spent exactly $27 dollars. $25 for the room and $2 for the tip. Remember they got exactly $3, in total back.

Another way to think about the answer to this riddle is to just pretend that the bellhop refunded $3 to the lawyers (rather than giving them $5 and receiving $2 back).

If the lawyers get $3 back and each takes $1. They they spent exactly $27 dollars.

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3 . In a certain country ½ of 5 = 3. If the same proportion holds, what is the value of 1/3 of 10 ?

ANSWER

   1/ 2 of 5       = 3

   1/3 ( ½  of 5 = 3 ) 1/3

   1/6 of 5        = 1

   2 ( 1/6 of 5  = 1 ) 2

   2/6 of 5       = 2   ie) 1/3 of 5 = 2
2( 1/3 of 5  = 2 ) 2

   2( 1/3 of 10) = 4   

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The Merchant

 4. A merchant can place 8 large boxes or 10 small boxes into a carton for shipping. In one shipment, he sent a total of 96 boxes. If there are more large boxes than small boxes, how many cartons did he ship?

ANSWER

11 cartons total 


7 large boxes (7 * 8 = 56 boxes)
4 small boxes (4*10 = 40 boxes )


11 total cartons and 96 boxes

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Three Brothers on a Farm

5.Three brothers live in a farm. They agreed to buy new seeds: Adam and Ben would go and Charlie stayed to protect fields. Ben bought 75 sacks of wheat in the market whereas Adam bought 45 sacks. At home, they split the sacks equally. Charlie had paid 1400 dollars for the wheat. How much dollars did Ben and Adam get of the sum, considering equal split of the sacks?

ANSWER

Every farmer’s part is 1/3(45+75) = 40 sacks. 

Charlie paid $1400 for 40 sacks, then 1 sack costs $1400/40 = $35/sack.

Adam got $35*(45-40)=35*5 = $175.
Ben got $35*(75-40)=35*35 = $1225. 

AnswerBen $1225, Adam $175

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REFERENCES :

 https://payilagam.com/blogs/tricky-maths-puzzles-part-i/

https://payilagam.com/blogs/tricky-maths-puzzles-part-ii/

https://youtu.be/NrEVR3-4xkE

COURTESY :

https://www.mathwarehouse.com/riddles/math-riddles.php

https://www.mathwarehouse.com/riddles/math-riddles.php#ixzz5Uk6VkCXV

https://www.mathwarehouse.com/riddles/math-riddles.php#ixzz5Uk7Di6Fw

 https://www.mathwarehouse.com/riddles/math-riddles.php#ixzz5Uk7s0KxG

 https://www.mathwarehouse.com/riddles/math-riddles.php#ixzz5Uk8K2wbQ

https://www.mathwarehouse.com/riddles/math-riddles.php#ixzz5Uk8P2ToK

 https://www.mathwarehouse.com/riddles/math-riddles.php#ixzz5Uk9QUxXj