Do you know of a place where the wind blows south and then suddenly shifts direction towards the north ?
The place is the South Pole. Until the point the wind reaches the pole, it is going south but the moment it passes the pole, it is going north.
How many triangles can you find in this given picture?
There are 20 triangles in the picture.
You are playing a probability game with your friend using a fair coin. Both of you decide a particular sequence that you have to achieve.
Let us suppose you chose the sequence to be: H T H
Your friend chose the sequence to be: H T T
Now you keep tossing coin until you get the sequence and the same is done by your friend. You keep doing that till you achieve your predefined sequence and keep writing the result on paper. At the end of the game the player whose average number of tosses will be lowest, he will win.
The results of game 1 toss:
You: H T T H T H
Your score: 6
Your friend: H T H H H T H H T T
Your friends' score: 10
The results of game 2 toss:
You: T T H T T H H T H
Your score: 9
Your friend: T T H H T H T T
Your friends' score: 8
The results of game 3 toss:
You: T T H H T H
Your score: 6
Your friend: H H T H T T
Your friends' score: 6
Now after 3 games, your average score is 7 and your friend's average score is 8. Now assume that you keep playing the game and play many a times. What will be the possible outcome out of the following?
a) You win
b) Your friend win
c) Tie
Analyzing thing, the friend has better chances of winning. Let us assume and analyze what can happen at any point of time supposing that we have not already completed the sequence. If the last flip was tails, start at 1 and if it is heads, start at 2.
1) If any one between us flips to get tails, nothing will change. We will still be at step 1 and we both will be needing 3 additional flips to complete. But if either of us gets heads, we continue.
2) If either of us gets heads, we stay on this step. But if we get tails, we continue. At this point, I am 3A and my friend is 3B.
3A) If I get tails now, I will have to start all over again from step 1 till I again get heads and I will have to flip the coin at least 3 times to complete my sequence.
3B) If the friend gets heads, he goes back to the step 2 and try again for tails. He will have to flip the coin at least 2 times to complete his sequence.
Thus, he obviously has better chances of winning.
A costume party is going on in a class of a few students. The average of the boys (b) is g and the average age of the girls (g) is b. If the average age of all of them including their class teacher who is 42 years old is b+g.
Can you find the value of b+g?
8
for b in range(1,99):
for g in range(1,99):
sum1=2*b*g+42
sum2=(b+g)*(b+g+1)
if(sum1==sum2):
print(b,g,sum1)
(b,g)=(3,5) => b + g=8
Can you find a relation between the given figures and find the missing number?
29
The center number is the product of the largest cornering numbers minus the square of the smallest one.
Thus the number is:
45 – 16 = 29
What is made up of 4 letters, still made up of 5, occasionally written with 12 letters and rarely with 6, but is written with 3 letters at none of the occasion
The statement is true.
What as 4 letters.
Still has 5 letters.
Occasionally has 12 letters.
Rarely has 6 letters.
But has 3 letters.
As we can see there are seven square in the picture below.
Can you move four match sticks to form 9 squares ?
The Matchsticks Riddle can be solved as shown below.
Nicholas is my uncle's sister's granddaughter's son. What is the closest possible relationship I can have to Nicholas?
He's your grandson.
This is because:
Uncle's sister would either be your mother or your aunt. But since you have asked for the closet relation, it would be your mother.
Your mother's granddaughter would be either your daughter or your niece. But daughter is the closest.
Further, your daughter's son is without a fail your grandson.
Find the number of squares in the given picture.
40
There are 40 squares in this picture.
Let us denote the size of squares from smaller to larger by S1, S2, S3, S4 and S5.
No. of S1 = 8
No. of S2 = 16 + 2 middle ones = 18
No. of S3 = 9
No. of S4 = 4
No. of S5 = 1
