# Mathematics Questions and Answers – Mathematical Reasoning – Statements

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This set of Mathematics MCQs for IIT JEE Exam focuses on “Mathematical Reasoning – Statements”.

1. A sentence is called statement if it is __________________
a) always true
b) always false
c) either true or false but not both
d) both true and false

Explanation: A sentence is called mathematically acceptable statement if it is either true or false but not both.

2. Which of the following is a statement?
a) Women are more intelligent than men
b) Two plus two is three
c) Open the door

Explanation: A sentence is called mathematically acceptable statement if it is either true or false but not both.
“Two plus two is three” is false so it is a statement. Rest we cannot decide whether they are true or false.

3. Which of the following is not a statement?
a) Two and two makes four
b) A prime number is always odd
c) Sum of a and b is 5
d) Elephant is heavier than ant

Explanation: “Two and two makes four” and “Elephant is heavier than ant” are true so they are statements. “A prime number is always odd” is false as prime number may be even so it is a statement. “Sum of and b is 5” is not a statement as it can be true or false based on the values of a and b taken.

4. Which of the following is a statement?
a) Today is Monday
b) Tomorrow will be holiday
c) If today is Tuesday then tomorrow will be Sunday
d) There will be full moon tonight

Explanation: “Today is Monday”, “Tomorrow will be holiday”, “There will be full moon tonight” are not the statements because we are not sure which day or night we are talking about.
“If today is Tuesday then tomorrow will be Sunday” is a statement because we are sure that it is false.
Wednesday come after Tuesday so if today is Tuesday then tomorrow will be Wednesday.

5. Which of the following is a statement?
a) There are 27 days in this month
b) February has 28 days
c) February has 29 days
d) There are 32 days in this month

Explanation: When we talk about this, that, here, there, we are not sure about what we are talking about so “There are 27 days in this month” is not a statement.
“February has 28 days” and “February has 29 days” both are not statements because February may have 28 days or 29 das based on the year. “There are 32 days in this month” is a statement as it is false. We cannot have 32 days in a month.

6. Is “How far is Delhi from here” a statement?
a) True
b) False

Explanation: “How far is Delhi from here” is not a statement as we cannot decide what is “here” and from where we are going to measure the distance to Delhi.

7. Is “History is a boring subject” a statement?
a) True
b) False

Explanation: “History is a boring subject” is a not a statement as it all depends on reader whether he like History or not.

8. Which of the following is not a statement?
a) Product of 1 and 2 is -4
b) Squares are always positive
c) Give me a cup of tea
d) Sum of 2 and 3 is 9

Explanation: “Product of 1 and 2 is -4” is a statement as it is false. We know, product of 1 and 2 is 2.
“Squares are always positive” is a statement as it is true. “Sum of 2 and 3 is 9” is a statement as it is false. But “Give me a cup of tea” is not a statement as it is an order so it is imperative sentence.

9. Which of the following is true?
a) Statements generally not use word like today and tomorrow
b) Statements generally not use word like here and there
c) Statements generally not use word like sum and product
d) Statements generally not use word like this and that

Explanation: Statements generally not use ambiguous words like here, there, this, that, today, tonight, tomorrow.

10. Which of the following is a statement?
a) Close the door
b) 11 comes after 12
c) India is a beautiful country
d) This is useless 