I am a seven-letter word but if you remove four of my letters I will have one left. What word am I?

Can you complete the sequence puzzle?

AR TA GE CA LE VI LI _

There are are five things wrong with this sentence; only geniuses will be able to to spot all of the mitstakes

In a competitive exam, each correct answer could win you 10 points and each wrong answer could lose you 5 points. You sat in the exam and answered all the 20 questions, which were given in the exam.
When you checked the result, you scored 125 marks on the test.

Can you calculate how many answers given by you were wrong?

A man has to get a fox, a chicken, and a sack of corn across a river.

He has a rowboat, and it can only carry him and one other thing.
If the fox and the chicken are left together, the fox will eat the chicken.
If the chicken and the corn are left together, the chicken will eat the corn.

How does the man do it?

The square root of number 121 is "11". What is the square root of the number "12345678987654321."?

I know a ten-letter word in the English language which can be typed using only the top rows of the computer keyboard.

You can find some missing letters in the picture. By placing two particular letters in the spaces, you can form a nine lettered word beginning from one of the corners and going clockwise direction to the middle. Can you find out the letters and the word?

What number divided by 4 is the same as that number minus 4?

Five teams were competing in cricket where they faced each other exactly once. After the tournament, the following is the point table.

DareDevils 6
SuperKings 5
Royals 4
Sunrisers 2
Riders ?

How many points did Riders end up with?