#11 - Fun Equation Puzzle

You are given the sum of symbols in each row and column in the attached figure. Analyzing the figure, can you find out the value of the symbols?

Fun Equation Puzzle

Value of Circle is 3
Value of Star is 5
Value of Triangle is 4

#12 - Murder Logic Puzzle

A newly wed couple went for hiking trip outside the country. After two days, the wife returned and informed the police that her husband fell while hiking and could not survive. Police registered the case. The next day, they returned to her home and arrested her. On asking why they were arrested her, the police told her that her travel agent had called and they are arresting her for the murder of her husband.

How do you think the travel agent knew about the murder ?

Murder Logic Puzzle

The travel agent informed the police that she had booked two tickets for the departure but only a single ticket for the return.

#13 - Easy Trick Decode Question

You are given four following results:
1111 = F
2222 = E
3333 = T

Then, can you find out how to code 4444 ?

sixteen

It is simple.
1 + 1 + 1 + 1 = Four
2 + 2 + 2 + 2 = Eight
3 + 3 + 3 + 3 = Twelve
4 + 4 + 4 + 4 = Sixteen

#14 - Logic Dice Riddle

A solo dice game is played. In this game, upon each turn, a normal pair of dice is rolled and the score is calculated not by adding the numbers but multiplying them.

It is observed that in a particular game, the score for the second roll is five more than what was achieved in the first roll. The score for the third roll is six less than what was achieved in the second roll. The score for the fourth roll is eleven more than what was achieved in the third roll. The score for the fifth roll is eight less than what was achieved in the fourth roll.

Can you calculate the score for each of the five throws ?

Logic Dice Riddle

Score for the first roll - 10
Score for the first roll - 15
Score for the first roll - 9
Score for the first roll - 20
Score for the first roll - 12

#15 - Easy Mathematics Trivia

Can you find a number that lies one third of the distance between 1/3 and 2/3?

Easy Mathematics Trivia

Let us find a bigger multiple first. Lets multiply the numerator and denominator by 9 in both the numbers.
Now, 1/3 = 9/27
And, 2/3 = 18/27

Clearly, 12/27 lies one third on the distance between the two numbers now.

#16 - Interesting Math Problem

Alex and Martin are planning on a vacation. Alex says, "It will be better if we take the train to the hotel. We will reach faster."
To this, Martin says, "No. You are wrong. The train stops at halfway to the hotel and then we will have to walk the rest of the way. We should take the bikes to the hotel directly."
Alex says, "You are wrong."

Now, Alex takes the train while Martin takes the bike. The train travels with four times the speed of bike. The bike travels at twice the speed of walking.

Who do you think will reach the hotel first?

Interesting Math Problem

Martin

S = total distance to the hotel.
V = walking speed.
2V = bike speed.
8V = train speed.
A = time taken by Alex
M = time taken by Martin

A = (S/2)/8V + (S/2)/V = S/16V + S/2V
M = S/2V

Now if you notice, A exceeds M by S/16V. Therefore, Martin will reach the hotel first.

#17 - Visual Number Series Problem

Solve the number series problem in the picture below ?

Visual Number Series Problem

3

Center Number = (Top Left Number * Bottom Left Number)/(Top Right Number * Bottom Right Number)
= (30 * 2) / (4*5)
= 3

#18 - Number Squares Chess Board Teaser

In the attached figure, you can see a chessboard and two rooks placed on the chess board. What you have to find is the number of squares that do not contain the rooks.How many are there?

Number Squares Chess Board Teaser

128

Lets count them one by one.
62 squares of size 1x1.
41 squares of size 2x2.
18 squares of size 3x3.
6 squares of size 4x4.
1 square of size 5x5.

62 + 41 + 18 + 6 + 1 = 128 squares.

#19 - Science Logic Puzzle

You have an empty wine bottle (too bad eh?) with a cork that has been secured at the top in a normal way. There is a metal ring inside the bottle that is suspended by a string.

How can you make the metal ring drop to the bottom if you are not allowed to touch anything - not the bottle, not the cork, not the thread and not the ring?

Science Logic Puzzle

You just need a magnifying glass to do considering you are out in open with bright sun rays available to you. With the glass, you can burn through the string and thus making the ring drop to the bottom.

#20 - Hard Clock Time Puzzle

At a certain point of time someone observes a clock and find out that the hour hand is exactly at the minute mark and the minute hand is six minutes ahead it. The clock is observed again to find out that hour hand is exactly on a different minute mark but the minute hand is seven minutes ahead of it this time.

Can you calculate the time that has elapsed between the two observations?

Hard Clock Time Puzzle

two hours and twelve minutes.

If you know about clocks, you must be knowing the fact that the hour hand is exactly on the minute mark five times each hour i.e. on the hour, twelve minutes past the hour, twenty four minutes past the hour, thirty six minutes past the hour and forty eight minutes past the hour.

Now let us suppose that X are the number of hours and Y are the number of minutes past the hour.
When the hour hand is on minute mark,
Position of hour hand:
5X + Y/12
Position of the minute hand:
Y

Now when the first observation is taken,
Y = Y = 5X + Y/12 + 6
This is also equivalent to 60X = 11Y - 72.

But from what we know, Y can only be equal to 0, 12, 24, 36 or 48. Thus keeping that in mind, the only value possible for X and Y are 1 and 12 respectively. This implies that the time is 1:12 on the first observation.

In the second observation, the equation will be:
60X = 11Y - 84
The possible values for X and Y here are 3 and 24 respectively. This implies that the time is 3:24.

Now time that has elapsed between 1:12 and 3:24 = two hours and twelve minutes.