Solution:

9

1(Mr. Beckham) + 1(Mrs. Beckham) + 6 (daughters) + 1 (brother).

Solution:

She told them that people were making calls without having to pay.

Solution:

9^9^9

(its not 999:p)

Solution:

Professor Frink said: 'I shall be hanged!' If he was lying, he would be hanged. But that's what the Frink was saying. So he speaks the truth. But if he speaks the truth, he would be beheaded, so then he was not speaking the truth. So it is impossible for the judge to determine wether the person speaks the truth or not. So therefore the judge cannot determine the penalty and sets him free.

Solution:

10%

100 - [ (100-85)+(100-80)+(100-75) +(100-70)]
=100-(15+20+25+30)
=100-90

Solution:

Yes, a married person is looking at Sooraj, who is unmarried. If Shaina is unmarried, Pulkit is looking at her who is married.

Solution:

3 pounds

Explanation:
Since one-quarter of the iron block weighs three-quarter of a pound, the whole the iron block will weigh (3/4 * 4 pounds).

Solution:

There are multiple solutions to do so.
Solution1 :
Press 1
Press / (divide)
Press % (percent)
Press / (divide) .... this step may not require in all calculator.
Note: Three unique keys are '1', '/' and '%'

Solution2 :(My favorite)
Press 1
Press 0
Press 0
Press =
Note: Three unique keys are '1', '0' and '='

Solution:

If you ask the guard who always tells the truth, he would tell you the other guard would point you to the door of death. If you ask the guard who always lies, he would tell you the opposite door of the truth-telling guard and point you to the door of death. In either case, both guards will point to the door of death so you should choose the other one.

Solution:

Tuesday

We know that Christanio Ronaldo tells the truth on only a single day of the week. If the statement on day 1 is untrue, this means that he tells the truth on Monday or Tuesday. If the statement on day 3 is untrue, this means that he tells the truth on Wednesday or Friday. Since Christanio Ronaldo tells the truth on only one day, these statements cannot both be untrue. So, exactly one of these statements must be true, and the statement on day 2 must be untrue.
Assume that the statement on day 1 is true. Then the statement on day 3 must be untrue, from which follows that Christanio Ronaldo tells the truth on Wednesday or Friday. So, day 1 is a Wednesday or a Friday. Therefore, day 2 is a Thursday or a Saturday. However, this would imply that the statement on day 2 is true, which is impossible. From this we can conclude that the statement on day 1 must be untrue.

This means that Christanio Ronaldo told the truth on day 3 and that this day is a Monday or a Tuesday. So day 2 is a Sunday or a Monday. Because the statement on day 2 must be untrue, we can conclude that day 2 is a Monday.

So day 3 is a Tuesday. Therefore, the day on which Christanio Ronaldo tells the truth is Tuesday.