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Maths puzzles for engineers

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Maths Puzzle Practice Set 6

• 51 / 57

In a country, all families want a boy. They keep having babies till a boy is born. What is the expected ratio of boys and girls in the country?

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• 52 / 57

Days of the month using 2 dice

How can you represent days of the month using two 6 sided dice? You can write one number on each face of the dice from 0 to 9 and you have to represent days from 1 to 31, for example for 1, one dice should show 0 and another should show 1, similarly for 29 one dice should show 2 and another should show 9.

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• 53 / 57

Chessboard and dominos

There is an 8 by 8 chessboard in which two diagonally opposite corners have been cut off.You are given 31 dominos, and a single domino can cover exactly two squares. Can you use the 31 dominos to cover the entire board?

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• 54 / 57

A man is allocated a task. He doubles the task done every day. If the man completely does the task in 18 days, how many days did it take for the man to complete 25% of the task?

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• 55 / 57

in Analog Clock, It's exactly 3:00 Clock. What time would the Hour hand, and Min hand would overlap each other?

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• 56 / 57

A military column of 1 km length marches with a constant speed of 6 kmph. A courier from the back of the column is sent to the head of the column by bike to deliver a message. Arrived at the front, he instantly returns. When he returns again at the back, the column has traveled a distance of 1 km since the start of his errand. The courier drove at a constant speed. How fast did the courier bike?

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• 57 / 57

You are the bus driver and 3 people come into the bus and sit down. After the first stop, 1 person leaves the bus while 10 more people come on aboard. Two stops later 5 people leave the bus. And then on the next stop, 50 more people come in and sit down. After 8 stops 3 more come in while 1 leaves.

How many people are there on the bus?Â

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