logicmathA women walks into a bank to cash out her check.
By mistake the bank teller gives her rupee amount in change, and her paise amount in rupees.
On the way home she spends 5 paise, and then suddenly she notices that she has twice the amount of her check.
How much was her check amount ?

The check was for Rupees 31.63.
The bank teller gave her Rupees 63.31
She spent .05, and then she had Rupees 63.26, which is twice the check.
Let x be the rupees of the check, and y be the paise.
The check was for 100x + y paise
He was given 100y + x paise
Also
100y + x - 5 = 2(100x + y)
Expanding this out and rearranging, we find:
98y = 199x + 5
or 199x â‰¡ -5 (mod 98)
or 98*2*x + 3x â‰¡ -5 (mod 98)
3x â‰¡ -5 â‰¡ 93 (mod 98)
this quickly leads to x = 31

logicmathshortIf
1 = 5 ,
2 = 25 ,
3 = 325 ,
4 = 4325
Then 5 = ?

1
Already stated 1=5 =>5=1

logicA monk leaves at sunrise and walks on a path from the front door of his monastery to the top of a nearby mountain. He arrives at the mountain summit exactly at sundown. The next day, he rises again at sunrise and descends down to his monastery, following the same path that he took up the mountain.
Assuming sunrise and sunset occured at the same time on each of the two days, prove that the monk must have been at some spot on the path at the same exact time on both days.

Imagine that instead of the same monk walking down the mountain on the second day, that it was actually a different monk. Let's call the monk who walked up the mountain monk A, and the monk who walked down the mountain monk B. Now pretend that instead of walking down the mountain on the second day, monk B actually walked down the mountain on the first day (the same day monk A walks up the mountain).
Monk A and monk B will walk past each other at some point on their walks. This moment when they cross paths is the time of day at which the actual monk was at the same point on both days. Because in the new scenario monk A and monk B MUST cross paths, this moment must exist.

cleanshortwhat am II am a white box having no key or any lid.
Yet there is a golden treasure inside it.
What Am I ?

An egg.

cleanshortWhat goes up when the rain comes down?

Umbrella.

logicmathIf,
Fernando + Alonso + McLaren = 6
Fernando x Alonso = 2
Alonso x McLaren = 6
Then,
McLaren x Fernando =?

3
Explanation:
Fernando + Alonso + McLaren = 6
Fernando x Alonso = 2
Alonso x McLaren = 6
Given.
Fernando x Alonso = 2
Alonso x McLaren = 6
Rewriting Both equations in terms of Alonso,
Fernando = 2/Alonso
McLaren = 6/Alonso
Replacing above values in equation "Fernando + Alonso + McLaren = 6"
2/Alonso + Alonso + 6/Alonso =6
(2 + Alonso^2 + 6)/Alonso = 6
8 + Alonso^2 = 6Alonso
Alonso^2 - 6Alonso + 8 = 0
(Alonso - 4) (Alonso - 2) = 0
Therefore;
Alonso = 4 or 2
Let's take value of Alonso as 2
Fernando = 2/2 = 1
McLaren = 6/2 = 3
Therefore;
McLaren x Fernando = 3 x 1 = 3

animalcleanshortA turkey has a musical part to it, what is it?

Drumstick.

cleanshortLarge as a mountain, small as a pea,
Endlessly swimming in a waterless sea.

Asteroids.

cleanshortHow can you drop a raw egg from a height onto a concrete floor without cracking it?

Concrete floors are very hard to crack.

logicshortName the only sport in which the ball is always in possession of the team on defense, and the offensive team can score without touching the ball?

Baseball.