# mental marathon questions

Post on 27-Nov-2014

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Question 1: Connect the 9 dots with 4 straight lines. Don't cross the same dot twice.

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Question 2: The 10" pizza sells for $ 4.99 at my favourite pizza store. The store claims they have a great deal on the large 14" pizza, which is specially priced at $ 7.82. What is the per cent discount the store is offering?

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Question 3: In a recent motor ride it was found that we had gone at the rate of ten miles an hour, but we did the return journey over the same route, owing to the roads being more clear of traffic, at fifteen miles an hour. What was our average speed?

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Question 4: There was a small lake, around which four poor men built their cottages. Four rich men afterwards built their mansions, as shown in the illustration, and they wished to have the lake to themselves, so they instructed a builder to put up the shortest possible wall that would exclude the cottagers, but give themselves free access to the lake. How was the wall to be built?

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Question 5: Hiram B. Judkins, a cattle-dealer of Texas, had five droves of animals, consisting of oxen, pigs, and sheep, with the same number of animals in each drove. One morning he sold all that he had to eight dealers. Each dealer bought the same number of animals, paying seventeen dollars for each ox, four dollars for each pig, and two dollars for each sheep; and Hiram received in all three hundred and one dollars. What is the greatest number of animals he could have had? And how many would there be of each kind?

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Question 6: The illustration is a prison of sixteen cells. The locations of the ten prisoners will be seen. The jailer has queer superstitions about odd and even numbers, and he wants to rearrange the ten prisoners so that there shall be as many even rows of men, vertically, horizontally, and diagonally, as possible. At present it will be seen, as indicated by the arrows, that there are only twelve such rows of 2 and 4. The greatest number of such rows that is possible is sixteen. But the jailer only allows four men to be removed to other cells, and informs me that, as the man who is seated in the bottom right-hand corner is infirm, he must not be moved. How are we to get those sixteen rows of even numbers under such conditions?

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Question 7: 999999999999999 = 1990 Insert +, -, x or / in suitable places on the left side of = so as to make the equation true:

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Question 8: A gang of 17 thieves steals a bag of gold coins. In t rying to share the coins equally, there are three coins remaining. In the ensuing fight over these three coins, one of the gang members is killed. In the next attempt to equally distribute the coins, there are 10 coins remaining. Again the gang fights, and another member dies. The third attempt is successful. What is the smallest number of coins stolen?

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Question 9: Mr. and Mrs. Ford have three daughters. When the youngest was born, you could multiply the middle childs age by three to get the oldest sisters age. Nine years ago, you could add the middle childs age to the youngest childs age to get the oldest childs age. What is the youngest that the oldest child can be now?

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Question 10: Consider a vertical wheel of radius 10 cm. Now suppose a smaller wheel of radius 2 cm, is made to roll around the larger wheel in the same vertical plane while the larger wheel remains fixed. What is the total number of rotations the smaller wheel makes when its center makes one complete rotation about the larger wheel?

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Question 11: A snail wants to creep on to the top of the tree 5m high. During the day it can creep up 3m but during the night it creeps down 2m. How many days does it need to reach the top?

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Question 12: Steve has three piles of sand and Mike has four piles of sand. If they put them all together, how many do they have?

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Question 13: Two drivers are going to the next town which is 100 miles away. They depart at the same time, however the first driver stops for gas during the first 50 miles, the second driver stops during the second half. Each stop takes 10 minutes. They both drive with the same speed 60 mph during the first 50 miles and 65 mph during the second half. Who, do you think, arrives first?

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Question 14: A man is running across a bridge. When he is 3/8 of the way across, he heard a train coming behind him. If he keeps running he will reach the end of the bridge at the same time with the train. If he turns around and runs back, he will get to the beginning of the bridge at the same time with the train. The man runs at a speed of 5mph. What is the speed of the train?

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Question 15: There is a large cube that is composed of small sugar cubes. The large cube is 10 sugar cubes long, by 10 sugar cubes wide, by 10 sugar cubes high. How many sugar cubes are on the surface of the large cube?

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Question 16: A rope ladder hangs over the side of a ship. The rungs are one foot apart and the ladder is 12 feet long. The tide is rising at four inches an hour. How long will it take before the first four rungs of the ladder are underwater?

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Question 17: How many 3-cent stamps are there in a dozen?

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Question 18: How can you throw a golf ball with all your might and -- without hitting a wall or any other obstruction -- have the ball stop and come right back to you?

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Question 19:

Place a different number in each of the ten squares so that the sum of the squares of any two adjacent numbers shall be equal to the sum of the squares of the two numbers diametrically opposite to them. The four numbers placed, as examples, must stand as they are. The square of 16 is 256, and the square of 2 is 4. Add these together, and the result is 260. Alsothe square of 14 is 196, and the square of 8 is 64. These together also make 260. Now, in precisely the same way, B and C should be equal to G and H (the sum will not necessarily be 260), A and K to F and E, H and I to C and D, and so on, with any two adjoining squares in the circle. All you have to do is to fill in the remaining six nu mbers. Fractions are not allowed, and no number need contain more than two figures.

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Question 20: How can you arrange for two people to stand on the same piece of newspaper and yet be unable to touch each other without stepping off the newspaper?

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Question 21: Of the 100 people at a recent party, 90 spoke English, 80 spoke Hindi, and 75 spoke Filipino. At least how many spoke all three languages?

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Question 22: The diabolical Dr. Nasty has turned his Growth Ray on a perfect cube that used to measure one metre on a side. The new larger cube has twice the surface area of the original. Find the volume of the larger cube.

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Question 23: In which direction is the bus pictured below travelling?

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Question 24: How many fs are there in the following sentence? Finished files are the result of years of scientific study combined with the experience of years of dedication.

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Question 25: Which figure should be placed in the empty triangle?

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Question 26: Start at the center number and collect another four numbers by following the paths shown (and not going back -wards). Add the five numbers together. What is the lowest number you can score?

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Question 27: The area of a square is equal to the square of the length of one side. So, for example, a square with side length 3 has area (3 2), or 9. What is the area of a square whose diagonal is length 5?

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Question 28: I travelled from Dubai to Abu Dhabi last week at 60 miles per hour, I had filled my petrol tank just before I left, so it was full with 25 gallons. Unfortunately, my petrol tank sprang a leak immediately and I only managed to drive 300 miles before I ran out of petrol. My car does 30 miles per gallon, how fast was I losing petrol through the hole?

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Question 29: Homer had suffered a bizarre accident that affected his eyesight. The doctor said it would be temporary, but for the next 4 weeks, he had to adjust how he did some things. The accident had affected his focal length. He was only able to focus on objects that were 6 or more feet away from him, anything closer than 6 feet was just a blur. Homer was used to shaving up close in front of his bathroom mirror. Now after the accident, how close could Homer get to the mirror to see his face clearly enough to shave?

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Question 30: The island of Elbonia have a rather eccentric postal system. Postage for an item can be anything from 1 dinar to 15 dina ri, and you must use exact postage. Frustratingly, there is only space on the envelopes in Elbonia to attach a maximum of three stamps. What is more, they only have three different denominations of stamps; can you work out what they are?

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Question 31: My local bus company has recentl

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