#1541 - Goldman Sachs Probability Question

There is a dressing drawer which contains the following colored socks in pairs: Purple, Magenta, Crimson, White, Yellow and Turquoise. Now, the socks are paired and each pair is together in the matching set. There is no light in the room and you open the drawer and pick up a pair. Then, without noticing any color, you keep them back and pick up again.

Can you calculate the probability that the pair of socks was Yellow both the times?

Goldman Sachs Probability Question

Whenever two events are independent, we calculate the probability of both occurring as:
P(A and B) = P(A) * P(B)
P(Yellow) = 1/6
P(Yellow and Yellow) = P(Yellow) * P(Yellow)
= 1/6*1/6
= 1/36

#1542 - Fun Trick Question

There was a blind beggar living on the footpath of a street. Suddenly on day, the beggars brother died. What was the relation of the blind beggar with the person who died ?

PS: Brother is not the answer.

Fun Trick  Question

The blind beggar was the sister of the person who died.

#1543 - Trick Matchstick Problem

Can you find out a way through which you can make five squares out of the given figure by moving just six match sticks?

Trick Matchstick Problem

Many of you might have tried making five different squares but that was not asked in the question. See the figure for the explanation.

#1544 - 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.

#1545 - 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.

#1546 - 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.

#1547 - Thoughtful Riddle

We know that money can be names differently for the purpose it is used for. Some of the examples of money given at following places or for following activities:
In temple = Daan
In school = Fees
During marriage = Dowry
For divorce = Alimony
Paying government = Tax
In court = Fine
Employer to employee = Salary
To kidnappers = Ransom
For illegal reason = Bribe
To civil servant retirees = Pension

Do you know what do we call the money a husband gives to his wife?

It is called Harmony. This is because, he gets peace in return.

#1548 - Interesting Maths Question

I am working in a bus company. The company recently went under expansion and therefore there was not enough room for all the buses. As a result, twelve buses had to be stored outside.

If the company decides to expand the garage space by forty percent, enough space to accommodate the current buses will be created leaving enough space for twelve more buses if the need arises in future.

Can you calculate the number of buses that the company owns at present?

72

The company owns seventy two buses at present.

Let us assume that they have B buses right now and S space before the expansion. Now the space is enough for
S = B - 12 ----- [1]

When they expand, they will have more space which will be enough for
S + 0.4 x S = B + 12 ------ [2]
=> 1.45 = B + 12
Also, B = 1.45 - 12 ----- [3]

Now we can rewrite the equation [1] as
B = S + 12 ----- [4]

Equating the third and fourth equation, we get
1.4 S - 12 = S + 12

Subtract S from both sides
0.4 S - 12 = 12

Now add 12 to both sides
0.4 S = 24

Multiply by ten and divide by four on both sides
S = 60

Put the value in fourth equation
B = 72

#1549 - How Many Triangles Are There Puzzle

In the image given, you can find several triangles. Can you count them all?

How Many Triangles Are There Puzzle

There are 104 triangles in the picture.

#1550 - Hollywood Maths Rebus Riddle

There is a mathematical expression in the given picture. Can you decipher the movie name it represents?

Hollywood Maths Rebus Riddle

Obviously its the latest dystopian world based movie, Divergent.