Mathematical Statements

Q. Which of the following is a mathematical statement?

1. The sky is red
   
2. Today is a Sunday.
3. She has brown eyes.
   
4. $\sqrt{4}=\pm 2$

Q. $x+3>0$,
the expression given above will be true only if .

1. $x>-3$
2. $x<-3$
3. $x=-3$

Q. Statement 'There are 100 milliseconds in a second' is

1. True
2. False

Q. Statement 'There are 60 minutes in an hour' is

1. True
2. False

Q. Choose the correct pair such that the given statements become true statements.

1. $-2x>0$
2. if, $x<0$
3. $2^x=1$
4. if, $x=0$
5. $x^3>0$
6. if, $x>0$

Q. 'Product of three consecutive odd number is even' Given statement is

1. True
2. False

Q. If $x<-\frac{1}{2}\Rightarrow x^3>0$,
the expression given above is a mathematical statement.

1. False
2. True

Q. State the necessary condition for following statement to be true
'Two times a number is a even number'

1. number should be fraction
2. number should be irrational number
3. number should be whole number
4. number should be negative fraction

Q. Statement 'Sum of all interior angles of the triangle is 360°' is

1. always true
2. cannot be proved
3. always false
4. ambiguous

Q. The sentence - "There are no Aliens." is a statement.

1. False
2. True