Logical Puzzles

This problem can be best solved using the pigeonhole principle.

The argument will go like this:
Assume that all the non-bald people in NYC have different number of hairs on their head. The population is about 9 million and let us assume that there are 8 million among them who are not bald.

Now, those 8 million people need to have different number of hairs. On an average, people have just 100, 000 hairs on their head. If we keep on assuming that there is someone with just one hair, someone with two, someone with three and so on, there will be 7, 900, 00 other people left who will have more than 100, 000 hairs on their head and need different number of hairs.

Now, as per this assumption, if we keep increasing one hair for each person, to make everybody hair different in numbers, we will come across someone with 8, 000, 000 hairs. But that is practically impossible (even 1, 000, 000 is impossible). Thus there must be two people who are having same number of hairs.

It will take him an hour to take all five tablets.

Suppose he takes the first tablet at 9:00 pm. He will take the second tablet at 9:15, the third at 9:30, the fourth at 9:45 and the last at 10:00.

So many of you might have struggled solving this. This is because our mind usually restricts us to work within the space given which here were the dots.

The word is "Buffalo".

According to the dictionary meaning, Buffalo is a noun meaning an animal. It is also a verb meaning "to bully".

Sentence: Buffalo.
Meaning: Go and bully someone.

Sentence: Buffalo buffalo.
Meaning: Animals bully.

Sentence: Buffalo buffalo buffalo.
Meaning: Animals bully other animals.

Sentence: Buffalo buffalo buffalo buffalo.
Meaning: Animals that are bullied by other animals, in turn, bully other animals.

119

Let the number of apples = X
X / 2 => Remainder = 1
X / 3 => Remainder = 2
X / 4 => Remainder = 3
X / 5 => Remainder = 4
X / 6 => Remainder = 5
X / 7 => Remainder = 0

Therefore, X is divisible by 7.

Whenever X is divided by any number less than 7, the remainder is 1 less than the divisor.
=> X + 1 is the LCM of 2, 3, 4, 5 and 6.

Now LCM of 2, 3, 4, 5 and 6 = 60
But 60 - 1 = 59 is not divisible by 7

60 * 2 = 120
120 - 1 = 119 which is divisible by 7

This means that X + 1 = 120 or X = 119

Number of minimum number of apples in the basket = 119

Refer to the picture for solution.

The movie name is - Identity Thief. The thief clipart on the top of the code was a giveaway.

Let us say that A has P no. of chocolates and B has Q no. of chocolates right now.
Now according to the question:
P + 1 = Q - 1
=> Q - P = 2 ------ (i)

Also, P - 1 = (Q + 1) / 2
=> 2P - Q = 3 ------ (ii)

Equating (i) and (ii)
P = 5 and Q = 7

Therefore, A has 5 chocolates and B has 7 chocolates right now.

The pattern that is being followed here is reversing the corner digits and adding them.
First Square:
13 + 32 + 11 + 34 = 90

Second Square:
21 + 19 + 27 + 16 = 83

Third Square:
33 + 33 + 22 + 26 = 125

Thus the missing number is 125

Parent of B is Andy.
Parent of Fanny is Eric.
Parent of Dexter is Cindy.
Eric is Andy brother and Cindy is Andy sister.
Thus, Fanny, B and Dexter are cousins.