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### Medium Math Problems

Medium Math Problems 1 : Nine Numbers Picture Puzzle
Difficulty ★★★☆☆        Popularity ★★★★☆

In the figure given with this question, place the numbers from 1 to 19 in the circles in a manner that each side of the triangle sums up to 17.

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Medium Math Problems 2 : Math Logic Riddle
Difficulty ★★★☆☆        Popularity ★★★★☆

A poor villager grows mango in his land and sells them in the town. The town is 1000 miles away from the village. He has rented a truck for transporting the mangoes to the town. The truck can carry 1000 mangoes at one time and this season, he was able to yield 3000 mangoes.

There is a problem. At each mile till the town, there is a check post at which he must give one mango each while travelling towards the town. However, if he is travelling from the town towards his village, he won't have to give anything.

Tell a way in which the villager can take highest possible number of mangoes to the town.
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Medium Math Problems 3 : Trick Math Problem
Difficulty ★★★☆☆        Popularity ★★★☆☆

While boarding a bus you notice that there are 7 girls in the bus already. All the girls have 7 bags each. In each bag there are 7 adult cats. Each of the adult cat have 7 little one. Each of the cat has 4 legs.

Can you calculate the number of legs in the bus?
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Medium Math Problems 4 : Knockout Tournament Matches Puzzle
Difficulty ★★★☆☆        Popularity ★★★★☆

A chess tournament is taking place on knock-out terms (the one who loses the match is out of the game).
(a) If 15 matches are played in total, how many players participated?
(b) If 50 players took part in the tournament, how many matches were played?
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Medium Math Problems 5 : Mathematical Logic Puzzle
Difficulty ★★★☆☆        Popularity ★★★★☆

using four eights (8) and a one (1) and one mathematical symbol , create the number 100
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Medium Math Problems 6 : Solve My Maths Problem
Difficulty ★★★☆☆        Popularity ★★★☆☆

There has been a house on fire. The fireman is now standing in the middle rung of the ladder and trying to extinguish the fire. He climbs 6 rungs more but the heat and deadly flames make him climb down 10 rungs. When the fire is settling gradually, he climbs 18 rungs and reaches the top of the ladder for better access to the house.

Calculate the number of rungs in the ladder ?
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Medium Math Problems 7 : Distance Speed Problem
Difficulty ★★★☆☆        Popularity ★★★☆☆

A car M starts from point A and a car N starts from point B and move towards opposite sides at a constant speed. The cars meet 500 yards from A for the first time. After reaching the opposite points, each of the car returns back without any break and this time, they meet 300 yards from B.

What is the distance between the two points A and B and what is the relation between the speeds of the two boats?
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Medium Math Problems 8 : Tricky Maths Puzzle
Difficulty ★★★☆☆        Popularity ★★★☆☆

A train leaves from point A for point B at 80 mph. After half an hour, another train leaves from point B for point A at 60 mph.

Which of the trains will be further from point A when they meet ?
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Medium Math Problems 9 : Horse Wind Puzzle
Difficulty ★★★☆☆        Popularity ★★★☆☆

Emily learnt how to ride a horse recently. Just to test her skills, she rode the horse from her home till a mine which she covered in three minutes and returned back home from the same path only this time she took four minutes. The reason was that while riding away from home, she was supported by wind however while riding back, she was riding against the wind.

How fast do you think she could have rode a mile if there was no wind ?
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Medium Math Problems 10 : Maths Picture Area Puzzle
Difficulty ★★★☆☆        Popularity ★★★☆☆

The below figure consists of a rectangle and the numbers labeled over the top represents the area of that particular shaded region.

Calculate the area of the green region labeled as '?'