Maths Teaser No. 4

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Carl
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Maths Teaser No. 4

#1

Post: # 24072Post Carl »

  • 1. If 1 = 3, 2 = 3, 3 = 5, 4 = 4 and 5 = 4, then what does 6 = ?
  • 2. A basket contains 5 apples, how do you divide the 5 apples among 5 children so that each child has 1 apple while 1 apple remains in the basket ?
  • 3. There is a three-digit number. The second digit is four times as big as the third digit, while the first digit is three less than the second digit. What is the number?
  • 4. What is the value of '?' ?

    Maths Teaser No. 4 Question 4.JPG
    Maths Teaser No. 4 Question 4.JPG (14.19 KiB) Viewed 1559 times
  • 5. Two girls were born to the same mother, at the same time, on the same day, in the same month and the same year and yet somehow they’re not twins. Why not ?
  • 6. A ship anchored in a port has a ladder which hangs over the side. The length of the ladder is 200cm, the distance between each rung in 20cm and the bottom rung touches the water. The tide rises at a rate of 10cm an hour. When will the water reach the fifth rung ?
  • 7. You have a 3-litre bottle and a 5-litre bottle. How can you measure 4 litres of water by using 3L and 5L bottles ?
  • 8. 3 friends went to a shop and purchased 3 toys. Each person paid €10 which is the cost of one toy. So, they paid €30 i.e. total amount. The shop owner gave a discount of €5 on the total purchase of 3 toys for €30. Then, among €5, Each person has taken €1 and remaining €2 given to the beggar beside the shop. Now, the effective amount paid by each person is €9 and the amount given to the beggar is €2. So, the total effective amount paid is 9 x 3 = 27 and the amount given to beggar is €2, thus the total is €29. Where has the other €1 gone from the original €30 ?
  • 9. A man is climbing up a mountain which is inclined. He has to travel 100 km to reach the top of the mountain. Every day He climbs up 2 km forward in the day time. Exhausted, he then takes rest there at night time. At night, while he is asleep, he slips down 1 km backwards because the mountain is inclined. Then how many days does it take him to reach the mountain top ?
  • 10. If 13 x 12 = 651 and 41 x 23 = 448, then, 24 x 22 = ?

Answers will be provided next Thursday evening after 21:00.

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elcarretero
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Re: Maths Teaser No. 4

#2

Post: # 24094Post elcarretero »

3 582
4 25 [The top and bottom nunbers are added together and the added to the result of the laft number minus the right number]
Brandyboy

Re: Maths Teaser No. 4

#3

Post: # 24117Post Brandyboy »

5 They were triplets.
9 99 days
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elcarretero
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Re: Maths Teaser No. 4

#4

Post: # 24118Post elcarretero »

2 You give the last child the basket containing the last apple
freddo
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Re: Maths Teaser No. 4

#5

Post: # 24173Post freddo »

No 6 Never because the ship will rise with the tide as well as the ladder
Last edited by freddo on 29 Nov 2021 15:22, edited 1 time in total.
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elcarretero
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Re: Maths Teaser No. 4

#6

Post: # 24174Post elcarretero »

7 Fill up the 3 litre bottle and pour the contents into the 5 litre bottle. Fill up the 3 litre bottle again, then top up the 5 litre bottle. This leaves 1 litre in the 3 litre bottle. Pour away the contents of the 5 litre bottle and pour in the 1 litre remaining in the 3 litre bottle. Fill up the 3 litre bottle yet again and por it into the 5 litre bottle and ¡ya este! 4 litres in the 5 litre bottle.
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elcarretero
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Re: Maths Teaser No. 4

#7

Post: # 24254Post elcarretero »

8 Although each person effectively paid 9 for the toy,the toy only cost 8.33 (30-5=25 divided by 3 = 8.3333333) and so each person gave the beggar .66.33333 (3 x 0.67 = 2.01). So the description in the rest of the puzzle is spurious.
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Carl
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Re: Maths Teaser No. 4

#8

Post: # 24268Post Carl »

ANSWERS
  • 1. 3
  • 2. 4 children get 1 apple each while the fifth child gets the basket with the remaining apple still in it
  • 3. 141
  • 4. 25
  • 5. The girls were triplets
  • 6. Never - the tide raises both the water and the boat so the water will never reach the fifth rung
  • 7. Two solutions are possible:

    Solution 1

    First, fill 3L bottle and pour 3 litres into 5L bottle.

    Again fill the 3L bottle. Now pour 2 litres into the 5L bottle until it becomes full.

    Now empty 5L bottle.

    Pour remaining 1 litre in 3L bottle into 5L bottle.

    Now again fill 3L bottle and pour 3 litres into 5L bottle.

    Now you have 4 litres in the 5L bottle. That’s it.

    Solution 2

    First, fill the 5L bottle and pour 3 litres into 3L bottle.

    Empty 3L bottle.

    Pour remaining 2 litres in 5L bottle into 3L bottle.

    Again fill the 5L bottle and pour 1 litre into 3L bottle until it becomes full.

    Now you have 4 litres in the 5L bottle.
  • 8. The logic is payments should be equal to receipts. We cannot add the amount paid by persons and the amount given to the beggar and compare it to €30.The total amount paid is €27. So, from €27, the shop owner received €25 and beggar received €2. Thus, payments are equal to receipts.
  • 9. 99 days
  • 10. 924

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