Mathematical Puzzle
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CLASS – XI & XII
Puzzle- 1
Solve this question and find out the value of angle theta. (hints: concept of Trigonometry of ITF can be used)
Puzzle- 2
Solve this question and find out the value of angle a+b+c. (hints: concept of Trigonometry of ITF can be used)
Puzzle 3: Three friends A, B, and C each have some money. A gives $10 to B, B gives $15 to C, and C gives $5 to A. Now, they all have the same amount of money. How much money did they have initially, and how much do they have now?
Puzzle 4: The sum of three consecutive odd integers is 63. What are the three numbers?
Puzzle 5: A basketball and a hoop together cost $110. The basketball costs $100 more than the hoop. How much does each item cost?
Puzzle 6: A boy is four times older than his sister. In 20 years, he will be twice as old as his sister. How old are they now?
Puzzle 7: A farmer has a chicken, a fox, and a bag of grain. The farmer needs to transport all three items across a river, but the boat can only carry one item at a time. If the farmer leaves the chicken alone with the fox, the fox will eat the chicken; if the farmer leaves the fox alone with the grain, the fox will eat the grain. How can the farmer transport all three items safely?
Puzzle 8: What comes once in a minute, twice in a moment, but never in a thousand years? Answer: The letter ‘M’.
Puzzle 9: What has keys but can’t open locks? Answer: A piano.
Puzzle 10: The more you take, the more you leave behind. What am I? Answer: Footsteps.
Puzzle 11: I speak without a mouth and hear without ears. I have no body but I come alive with the wind. What am I? Answer: An echo.
Puzzle 12: I am taken from a mine and shut up in a wooden case, from which I am never released, and yet I am used by almost every person. What am I? Answer: Pencil lead/graphite.
Puzzle 13: What has an eye but can’t see? Answer: A needle.
Puzzle 14: The person who makes it, sells it. The person who buys it never uses it. The person who uses it never knows they’re using it. What is it? Answer: A coffin.
Puzzle 15: What has cities but no houses, forests but no trees, and rivers but no water? Answer: A map.
Puzzle 16: What belongs to you, but other people use it more than you? Answer: Your name.
Puzzle 17: I am not alive, but I grow; I don’t have lungs, but I need air; I don’t have a mouth, but water kills me. What am I? Answer: Fire.
Puzzle 18: What comes down but never goes up? Answer: Rain.
Puzzle 19: What has a heart that doesn’t beat? Answer: An artichoke.
Puzzle 20: The more you take, the more you leave behind. What am I? Answer: Footsteps.
Puzzle 21: What starts with a ‘P,’ ends with an ‘E,’ and has thousands of letters? Answer: The Post Office.
Puzzle 22: What has many keys but can’t open a single lock? Answer: A computer keyboard.
Puzzle 23: What has an “eye” but can’t see? Answer: A needle.
Puzzle 24: What goes up and never comes down? Answer: Your age.
Puzzle 25: What has a neck but no head? Answer: A bottle.
Puzzle 26: What is full of holes but still holds water? Answer: A sponge.
Puzzle 27: I am taken from a mine and shut up in a wooden case, from which I am never released, and yet I am used by almost every person. What am I? Answer: Pencil lead/graphite.
ANSWER:-
Puzzle – 3: A, B, and C had $20, $65, and $35, respectively
Puzzle – 4: The three consecutive odd integers are 21, 23, and 25.
Puzzle – 5: The basketball costs $105, and the hoop costs $5.
Puzzle – 6: the sister is currently 10 years old, and the boy is 4 times older, which means he is 40 years old.
Puzzle – 7:
- Take the chicken across the river and leave it on the other side.
- Go back alone and bring the fox to the other side.
- Take the chicken back with him to the starting side.
- Leave the chicken on the starting side and take the grain across the river.
- Finally, go back alone and bring the chicken to the other side.