Can you count number of squares in a figure below ?
30 squares.
Assuming smallest square side is 1 cm, then
Total number of squares with side 1 cm: 16
Total number of squares with side 2 cm: 9
Total number of squares with side 3 cm: 4
Total number of squares with side 4 cm: 1
Adding 16+9+4+1 = 30
A man has four playing cards in random order in his hand ( 6 7 8 and 9)
He desires them placed in ascending order from his left to his right.
* To do this, he pulls the left card (from your perspective) and puts it end.
* He then takes the third card from the right (from your perspective) and puts it in end.
Can you guess the original order of the cards ?
6 8 9 7 (user perspective)
7 9 8 6 (from his perspective)
Detail:
From user perspective:
6 8 9 7 => 8 9 7 6 => 9 8 7 6
For his perspective
6 7 8 9 (ascending order as desired)
In a secret society, a buried chamber can be accessed only via a secret password. The password is seven characters long and comprises of just letters and numbers.
You find a code that can help you in cracking the password. The code says "You force heaven to be empty".
Can you deduce the password from that?
The code can be decrypted to sound as "U four seven two B M T".
The code is U472BMT.
If one and a half boys, eat one and a half burgers in one and a half hours.
How many burgers can 9 boys eat in 3 hours ?
18
More hours => more burgers.
More boys => more burgers.
The time become twice (3 hours / 1.5 hours).
Boys become six times (9 / 1.5).
Number of burgers = 2 * 6 * Original(1.5)
= 18
Alpha and Beta have same amount of petrol in their respective cars. Alpha can drive for 4 hours whereas Beta can drive for 5 hours with the amount of petrol left.
Both of them start driving at the same time. After a few hours, they find out that the amount of petrol remaining in one of the cars is four times the other car.
Can you calculate for how long did they drive the cars?
3 3/4 hours
Assume that the initial amount of petrol in each of the petrol tanks be P.
Now, let us assume that they drove for H hours.
In that case, the amount of petrol used by one car in H hours will be = P*H /4
The amount of petrol used by the other car will be = P*H/5
Therefore, the petrol left in one car = P - P*H / 4
Petrol left in the other car = P - P*H / 5
Now, according to the question,
P - P*H / 5 = 4 (P - P*H / 4)
=> H = 15 / 4 = 3 3/4 hours.
Can it be possible to build a house that has all its four walls facing towards the South?
Yes, it is possible.
If the house is built at the North Pole, all the walls will face towards South.
Once upon a time, there was a castle on a square island. The entire island was surrounded with a 14m wide trench. The Romans had wanted to invade the castle and had brought a few wooden planks along with them to facilitate themselves in crossing the moat. The planks were however found to be only 13m long.
The Romans still managed to cross the trench. How did they do it?
They managed to cross the trench by placing the planks as it is shown in the picture.
Can you divide the given shape into four equal and identical pieces?
There is only one way how it can be done and that is shown in the picture.
Two boys take admission in a school. When the headmaster asks them about their parents, they tell him that they have same parents (father and mother). On further inquiry, it turns out that they both share the same date for their birthday.
"Are you twins," ask the headmaster.
"No," replies the boys.
Is it possible?
Yes, it is certainly possible. They were not twins but triplets.