Tag: math & puzzles

Questions Related to math & puzzles

A box contains two coins. One coin is heads on both sides and the other is heads on one side and tails on the other. One coin is selected from the box at random and the face of one side is observed. If the face is heads what is the probability that the other side is heads?
general knowledge math & puzzles

  1. None

  2. 1 1/3

  3. 2/3

  4. 1/3

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Correct Option: C

A woman is chosen at random among all women that have two children. She is asked do you have at least one boy, and she answers 'yes.' What is the probability her other child is a boy? Assume every pregnancy has a 50/50 chance to be a boy or a girl.
general knowledge math & puzzles

  1. 1/3

  2. 2/3

  3. 1

  4. NONE

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Correct Option: A

If it takes Bill 20 hours to paint a house and it takes George 30 hours, how long will it take if they work together yet independently?
general knowledge math & puzzles

  1. 11

  2. 13

  3. 12.5

  4. 12

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Correct Option: D

You are given an initial prize of one dollar. A coin will be tossed indefinitely until a tails occurs. Every time a heads is tossed your prize will be doubled. When a tails is tossed you walk away with whatever your prize has grown to. For example if you toss three heads and then tails you would get $1*2*2*2=$8 dollars. What is the expected return of this game?
general knowledge math & puzzles

  1. 1/2

  2. 1/4

  3. infinity

  4. 1/5

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Correct Option: C

Find a number whose double exceeds its quarter by 7.
general knowledge math & puzzles

  1. 5

  2. 4

  3. 3

  4. 2

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Correct Option: B
Explanation:

To solve this question, the user needs to know basic algebraic equations and the concept of solving for a variable.

Let's represent the number in question as "x".

From the problem, we know that:

2x = (1/4)x + 7

To solve for "x", we can start by simplifying the equation.

First, we can multiply both sides of the equation by 4 to eliminate the fraction:

8x = x + 28

Next, we can subtract "x" from both sides to isolate the variable on one side of the equation:

7x = 28

Finally, we can solve for "x" by dividing both sides by 7:

x = 4

Therefore, the correct answer is:

The Answer is: B (4)

4, 8, 16, 32, ?
general knowledge math & puzzles

  1. 48

  2. 64

  3. 40

  4. 96

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Correct Option: B

54, 49, ?, 39, 34
general knowledge math & puzzles

  1. 46

  2. 42

  3. 44

  4. 40

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Correct Option: C
Explanation:

To find the missing number in the sequence 54, 49, ?, 39, 34, we need to identify the pattern.

Looking at the given numbers, we can see that each subsequent number is obtained by subtracting 5 from the previous number.

Starting with 54: 54 - 5 = 49 49 - 5 = ? ? - 5 = 39 39 - 5 = 34

Therefore, the missing number in the sequence is obtained by subtracting 5 from 49, resulting in 44.

So, the correct answer is:

C. 44

4, 8, 12, 20, ?
general knowledge math & puzzles

  1. 32

  2. 34

  3. 28

  4. 30

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Correct Option: A

?, 19, 23, 29, 31
general knowledge math & puzzles

  1. 12

  2. 15

  3. 16

  4. 17

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Correct Option: D

4, 8, 16, 32, ?
general knowledge math & puzzles

  1. 96

  2. 64

  3. 48

  4. 60

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Correct Option: B