Can you find the missing number in the third row?
35 20 14
27 12 18
5 2 ?

A detective visits his friend John just to discover that John's neighbour Dr Jacob was murdered. Dr Jacob, who is a mathematician wrote the murderer's name in a code word "Hcqtfz". There were five suspects
1. Ajit
2. Pankaj
3. Ganpat
4. Deenu
5. Hariya

The Detective was instantly able to find the murderer.
Can you?

Look at the picture and find out which square is not linked with any of the other squares.

Can you find out the remainder when 3^300 is divided by 5?

What does this Rebus Picture mean?

John gave half of the apples he had plus one more to Jacob. He gave half of the remaining ones plus one more to James. Now, John was left with just one apple.

Can you find out how many did he have in the beginning?

Can you find the odd number in the following?

2716, 4135, 5321 and 7145

The product of three consecutive numbers is 7980.
Then the sum of these consecutive numbers would be?

I am green and found in the forest and have needles instead of leaves. What am I?
Hint 1: It can be used for Christmas decorations.
Hint 2: I have a strong, scent that is used in air fresheners.

I never was there, I am always to be.
You have never ever seen me, not ever you will.
Yet I am the confidence of everyone.

Who Am I?