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· Mixed Bag · Mixed Bag
Q61: Something repeats every word you say, but doesn't know any language. What is it?
Answer: An echo
💡 An echo is your own voice bouncing back to you from mountains and distant walls, so it repeats your words in any language without understanding them.
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Q62: Something has an eye but cannot see. What is it?
Answer: A needle
💡 The hole in a needle that the thread goes through is called the "eye of the needle," but it can't see anything.
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Q63: I am a number. If you add 20 to me, I become 106. What am I?
Answer: 86
💡 Subtract what was added from the result: 106 - 20 = 86; check: 86 + 20 = 106.
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Q64: Sarah is 8 years old now, and her mother's age is 4 times hers. How old will her mother be when Sarah turns 12?
Answer: 36 years
💡 The mother is now 8 × 4 = 32 years old; in 4 years Sarah will be 12 and her mother will be 32 + 4 = 36 years old.
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Q65: I am a number. If you divide me by 4 and then add 6 to the result, I become 15. What am I?
Answer: 36
💡 Reverse the steps: 15 - 6 = 9, then 9 × 4 = 36; check: 36 ÷ 4 + 6 = 15.
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Q66: Order these lengths of time from shortest to longest:
Answer: 90 seconds, then 2 minutes, then A quarter of an hour, then Half an hour
💡 90 seconds is a minute and a half, two minutes is 120 seconds, a quarter of an hour is 15 minutes, and half an hour is 30 minutes.
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Q67: Match each number with its half:
Answer: 18 ↔ 9, 50 ↔ 25, 64 ↔ 32, 100 ↔ 50
💡 Half of a number is what you double to get back to the number: 9 × 2 = 18, 25 × 2 = 50, 32 × 2 = 64 and 50 × 2 = 100.
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Q68: Choose all the numbers that can be divided by 3 with no remainder:
Answer: 12, 27, 33
💡 12 = 3 × 4, 27 = 3 × 9 and 33 = 3 × 11, while 20 and 25 leave a remainder when divided by 3.
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Q69: 11 multiplied by 11 equals 121.
Answer: True ✔
💡 11 × 11 = 121; check: 11 × 10 = 110, then add 11 to get 121.
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Q70: One-third of the number 30 is 15.
Answer: False ✖
💡 One-third of 30 is 10 because 10 × 3 = 30, while 15 is half of 30.
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Q71: The number 7 can be divided with no remainder only by 1 and by itself.
Answer: True ✔
💡 The number 7 is a prime number, so it can only be divided with no remainder by 1 and by 7 itself.
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Q72: The sum of the numbers from 1 to 10 is 50.
Answer: False ✖
💡 The sum is 55: add each pair of opposite numbers and you get 11 (1+10, 2+9, ...), and there are 5 pairs, and 5 × 11 = 55.
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Q73: If you multiply any number by zero, the result is zero.
Answer: True ✔
💡 Multiplying by zero means we took nothing of the number; for example, 7 × 0 = 0 and 1000 × 0 = 0.
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Q74: How many minutes are in an hour and a half?
Answer: 90 minutes
💡 An hour is 60 minutes and half an hour is 30 minutes, so the total is 60 + 30 = 90 minutes.
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Q75: Three sisters each have one brother. How many brothers and sisters are there in total?
Answer: 4
💡 The one brother is the brother of all three sisters, so the total is 3 sisters + 1 brother = 4.
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Q76: If 3 cats catch 3 mice in 3 minutes, how many cats are needed to catch 100 mice in 100 minutes at the same speed?
Answer: 3
💡 Each cat catches one mouse in 3 minutes, which is about 33 mice in 100 minutes, so the same three cats catch 100 mice in 100 minutes.
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Q77: A shepherd has 17 sheep. All but 9 run away. How many sheep does he have left?
Answer: 9
💡 "All but 9 run away" means 9 sheep didn't run away and stayed with him, so there's no need to subtract.
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Q78: How many times can you subtract 5 from the number 25?
Answer: Only once
💡 A brain teaser: after the first subtraction the number becomes 20, so after that you are subtracting from 20, not from 25; that's why you can subtract 5 from 25 only once.
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Q79: What is the next number in this pattern: 1, 1, 2, 3, 5, 8, ...?
Answer: 13
💡 Each number in this pattern is the sum of the two numbers before it, so after 5 and 8 comes 5 + 8 = 13.
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Q80: What is the next number in this pattern: 1, 4, 9, 16, 25, ...?
Answer: 36
💡 These are square numbers: 1×1, 2×2, 3×3, 4×4, 5×5, so the next is 6 × 6 = 36.
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