## 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 ?

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.

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 ?

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

### 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?

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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### 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.

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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#ixzz5Uk7Di6Fw