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Maths Puzzle Practice Set 1

1 / 57

If you look at a clock and the time is

**3:15**then what is the angle between the hour hand and minute hand?

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2 / 57

A Russian gangster kidnaps you. He puts two bullets in consecutive order in an empty six-round revolver, spins it, points it at your head and shoots. You're still alive. He then asks you, do you want me to spin it again and fire or pull the trigger again right away? For each option, what is the probability that you'll be shot?

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**Asked In :**Sapient3 / 57

You're about to get on a plane to Seattle. You want to know if it's raining. You call 3 random friends who live there and ask each if it's raining. Each friend has a 2/3 chance of telling you the truth and a 1/3 chance of messing with you by lying. All 3 friends tell you that Yes it is raining. What is the probability that it's actually raining in Seattle?

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**Asked In :**Aricent4 / 57

You have a 3-gallon jug and 5-gallon jug, how do you measure out exactly 4 gallons?

5 / 57

You have 3 bags with you â€“ one with pink toys only, one with blue toys only and one with a mix of two colors. But, the labels on all three bags are wrong. What is the minimum number of draws you would need to make, in order to identify all three bags correctly?

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**Asked In :**Alcatel-Lucent6 / 57

We have 10 identical bottles of identical pills (each bottle contain hundred of pills). Out of 10 bottles, 9 have 1 gram of pills but 1 bottle has pills of the weight of 1.1 gram. Given a measurement scale, how would you find the heavy bottle? You can use the scale only once.

7 / 57

There are n coins in a line. (Assume n is even). Two players take turns to take a coin from one of the ends of the line until there are no more coins left. The player with the larger amount of money wins.

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**Asked In :**Infosys8 / 57

## SHAKE HAND PROBLEM

If there are 8 people in a room and they must shake hands with each other once without missing anyone. How many shake hands will take place?

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9 / 57

There are 10 colors of socks in a dark room such thatâ€¦

**color 1 -> 2 socks****color 2 -> 4 socks****color 3 -> 6 socks****color 4 -> 8 socks**And so onâ€¦ up to color 10 such that color 10-> 20 socks. How many minimum numbers of socks you have to bring out of that dark room such that 6 socks must be of the same color? Given the condition that there is no light to switch on in that room.

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10 / 57

A farmer has a rose garden. Every day he either plucks 7 or 6 or 24 or 23 roses. The rose plants are intelligent and when the farmer plucks these no. of roses, the next day 37 or 36 or 9 or 18 new rose bloom up in the garden respectively. On Monday he counts 189 roses, he plucks the roses as per his plan on consecutive days and new roses bloom up as per the intelligence of the plants mentioned above. After some days which of the following can be the number of roses in the garden?

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