Can you find out which number multiplied by itself will give the output as 12345678987654321 ?
1 * 1 = 1
11 * 11 = 121
111 * 111 = 12321
1111 * 1111 = 1234321
111111111 * 111111111 = 11=2345678987654321
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 ?
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)
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.
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)
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)
Can you count number of squares in a figure below ?
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
Suppose "s" represents the number of seconds in a day and "h" represents the number of hours in ten years (which will also include two leap years), can you calculate which quantity is greater from the two variables?
S = 60 * 60 * 24 seconds = 86, 400 seconds.
H = (8 * 365 *24) + (2 * 366 *24) hours = 87, 648 hours
Clearly, H is greater than S even though not by much.
In the drawer beside your bed, you have three orange, two pink and five purple balls. There is no electricity and the room is completely dark. How many balls you must take out to make sure you have one ball of each color at least.
2 < 3 < 5
To find out the required number of balls, take one in place of the least number (i.e. take one pink ball) and then add all the greater numbers (i.e. three orange and five purple balls) to it.
Required number of balls = 1 + 3 + 5 = 9.
A special integer exists in mathematics that shows a special property. If you subtract any number from that integer, the result will always be divisible by the successor of that number completely.
Do you know what that integer is ?
The required integer is -1.
For an example, let us subtract 7 from -1.
-1 - 7 = -8
Now the successor of 7 is 8 and (-8) is exactly divisible by 8.
You can try that for any number and it will hold true.