How many squares do you see in matchstick puzzle belwo ?
35
1/2 X 1/2 matchsticks squares: 4
1X1 matchsticks squares : 17
2X2 matchsticks squares : 9
3X3 matchsticks squares : 4
4X4 matchsticks squares : 1
Use the digits from 1 up to 9 and make 100.
Follow the rules.
=> Each digit should be used only once.
=> You can only use addition.
=> For making a number, two single digits can be combined (example, 4 and 2 can be combined to form 42 or 24)
=> A fraction can also be made by combining the two single digits (example, 4 and 2 can be combined to form 4/2 or 2/4)
Question: how can we do this ?
There are various solutions that one can come up with. Following are some of them.
1 + 2 + 5 + 4/6 + 7/3 + 89 =100
12 + 9 + 75 + 6/3 + 8/4 =100
2 + 95 +1/6 + 4/8 + 7/3 =100
24 + 57 + 8 + 6/3 + 9/1 =100
36 + 51 + 9 + 4/8 + 7/2 =100
5 + 91 + 3/2 + 6/8 + 7/4 =100
Evil warlock dislikes dwarfs and therefore he selects four of them and buries them. The dwarfs are buried in the ground and they are in such a way that except their heads their body is inside the ground. The dwarfs cannot move their body and they can view only forward. They are all buried in a line, and amongst the four, one of the dwarf is separated by a wall. All the dwarfs are in the same direction. The last dwarfs can see two heads of the friends in the front and a wall. The last second dwarf can see one head of his friend and a wall. The second dwarf can see only the wall. The dwarf can see nothing.
Warlock comprehends the situation and tells the dwarfs that he has placed hats on their heads. There are two blue hat and two red ones. In all the four dwarfs, one of them has to say what color hat he is wearing. If the dwarf says the correct color of the hat, they will be left free. If the answer is wrong, then they will be dig inside the ground till the very end.
What will be the answer by the dwarf and how will they give the answer?
If the last dwarf seems to take time to answer the question, then it means that the dwarfs in front of him have different colored hats on them. There will be anyway enough time given to the last dwarf to tell the answer.
If he sees the same colored hats in front of him, he will immediately tell the answer.
Can you calculate the probability of getting a sum of six when a dice is thrown twice?
Event = {(1,5) , (2,4), (3,3), (4,2), (5,1)}
Therefore, P (getting sum = 6) = 5/36
Two friends P and Q live near each other home. They both start driving towards each other at a constant speed. Both of them Meet 500 yards from P house. When they reach each other house, they start driving back and this time, they meet 300 yards away from Q house.
Can you find out the distance between P and Q ?
Let us assume that the distance between P house and Q house be D.
Upon their first meet, P has traveled 500 yards.
Thus the distance traveled by Q = D - 500.
Calculating D as a multiple of 100 to simplify the equation
=> Speed of P / Speed of Q = 5 / (D - 5)..... (a)
Upon their next meet, P has traveled (D - 500) + 300
Distance traveled by Q = 500 + D - 300
=> Speed of P / Speed of Q = (D - 2) / (D + 2) ..... (b)
When we equate (a) and (b)
5 / (D - 5) = (D - 2) / (D + 2)
D = 12
Therefore, the distance between P and Q house is 1200 Yards.
Two friends hit the accelerator of their respective cars at the same time. Both of them have the same amount of petrol in their respective cars at the time they start. One can drive for 4 hours and the other can drive for 5 hours.
After driving for a while, they analyse that the amount of petrol left in one of their cars is 4 times that of the petrol left in other car.
Can you calculate how long they have been driving their respective cars ?
3.75
This question can be solved mathematically.
Let us assume that the initial amount of petrol is p.
The time for which they drove be t.
Now, the amount of petrol used by one car in t hours will be = pt / 4
The amount of petrol used by the second car in t hours will be = pt / 5
Now, the petrol left in the first car will be = (p - pt / 4)
The petrol left in the second car will be = (p - pt / 5)
According to the question
P - pt / 5 = 4(p - pt / 4)
T = 15 / 4 or 3.75 hours.
Therefore, both of the friends have driven the car for 3.75 hours.
Solve below popular number sequence
314 159 265 358 979 323 846 ?
264
The value of pi to 100 digits is
1415926535897932384626433832795028841971693993751058209749445923078164
062862089986280348253421170679
Can you move 2 matchsticks to form four equal sized squares.
you can move matchstick as explained.
