Forming absolute inequality from statement

Q.

There are 2000 students in a school out of these 1000 play cricket, 600 play basketball, and 550 play football, 120 play cricket and basketball, 80 play baketball and football and 150 play cricket and football and 45 play all the three games. How many students play none of the games?

Q. A cricketer has a certain average for 9 innings, In the tenth inning he scores 100 runs there by increasing his average by 8 runs. His new average is

1. $28$ runs
2. $24$ runs
3. $32$ runs
4. $20$ runs

Q.

A project manager estimates that a project will take x hours to complete, where x > 100. The goal is for the estimate to be within 10 hours of the time it will actually take to complete the project. If the manager meets the goal and it takes y hours to complete the project, which of the following inequalities represents the relationship between the estimated time and the actual completion time?

1. $y>x+10$
2. $x-10$
3. $-10<y-x<10$
4. $x+y<10$

Q. Ben wrestles in a weight division that requires all wrestlers to weigh between140 and 150 pounds. Which of the following inequalities can be used to determine whether or not Ben's current weight w satisfies the weight requirement?

1. |w - 130|< 20
2. |w - 140| < 10
3. |w -135| < 15
4. |w - 145| < 5

Q. Let $X$ represents the absolute value of difference between the number of heads and the number of tails obtained when a coin is tossed $6$ times. Then the possible values of $X$ are:

1. $\{0,1,2,3,4,5,6\}$
2. $\{0,1,2,3,4,5\}$
3. $\{1,3,5\}$
4. $\{0,2,4,6\}$

Q. A bag contains $2$ white and $1$ red balls. One ball is drawn at random and then put back in the box after noting its colour. The process is repeated again. If $X$ denotes the number of red balls recorded in the two draws, then range of $X$ is:

1. $\{0,1\}$
2. $\{1,2\}$
3. 
   $\{0,2\}$
4. $\{0,1,2\}$

Q. All the batsmen in the Orange county cricket team, have an average run per test match between 155 and 273. Which of the following inequalities can be used to determine whether a batsman with an average run per test match, r, could be in the team?

1. $|r+155|<273$
2. $|r-273|<59$
3. $|r-214|<59$
4. $|r+273|<155$

Q.

The average lies between the________ and the _________ value of the given data.

Q.

A man starts repaying a loan as first installment of Rs. 100. If he increases the installment by Rs 5 every month, what amount he will pay in the 30^th installment?