# CBSE Class 11th Math 14 – Mathematical Reasoning MCQs

#### An implication p ⇒ q is false, when:

Correct! Wrong!

An implication p ⇒ q is false, when p is true and q is false.

#### A statement is a sentence which is either true or false but not both.

Correct! Wrong!

A statement is a sentence which is either true or false but not both.

#### Converse of a conditional is equivalent to its ____.

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Converse of a conditional is equivalent to its inverse.

#### Truth value of p: 3 × 7 = 21 and q: 4 + 3 = 7 is true.

Correct! Wrong!

Truth value of p: 3 × 7 = 21 and q: 4 + 3 = 7 is true.

#### If two statements have the same truth values, such statements are called equivalent statements. To indicate that two statments are ‘equal’ we use the symbol ____.

Correct! Wrong!

If two statements have the same truth values, such statements are called equivalent statements. To indicate that two statments are 'equal' we use the symbol '↔'.

#### p: 3 is prime then ∼p is ____.

Correct! Wrong!

p : 3 is prime then ∼p is 3 is not prime.

#### The truth value of the conjunction is true, if the truth values of all the component statements are true.

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The truth value of the conjunction is true, if the truth values of all the component statements are true.

#### If a given statement is true, its negation will be false. If a given statement is false its negation will be true.

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If a given statement is true, its negation will be false. If a given statement is false its negation will be true.

#### A compound statement formed by combining two or more statements by using the word "and" is ____.

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A compound statement formed by combining two or more statements by using the word "and" is called their conjunction.

#### Form the disjunction of the following simple statements. p: Ram is playing q: Shyam is sleeping.

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p: Ram is playing q: Shyam is sleeping Disjunction: Ram is playing or Shyam is sleeping

#### If p ⇒ q is an implication then its contrapositive is ____.

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If p ⇒ q is an implication then its contrapositive is ~q ⇒ ~p.

#### If 'p' is a statement, the negation of the statement is denoted by ____.

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If 'p' is a statement, the negation of the statement is denoted by ∼p.

#### p: Taj Mahal is in Agra q: Kutub Minar is in Delhi. The disjunction of the above statements is, Taj Mahal is in Agra or Kutub Minar is in Delhi.

Correct! Wrong!

Given, p: Taj Mahal is in Agra q: Kutub Minar is in Delhi P ∨ q: Taj Mahal is in Agra or Kutub Minar is in Delhi.

#### "Four multiplied by three is ten" is a statement.

Correct! Wrong!

Four multiplied by three is ten. This sentence is false (∵ 4 × 3 = 12) Hence, it is a statement.

#### Let p be "She is beautiful" and q be "She is happy". Write each of the following statements that are in symbolic form into English sentences.

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p ∧ q: She is beautiful and she is happy

#### Which of following is not a statement.

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Clse the door. This sentence is neither true nor false (It is a command). Hence, it is not a statement. Sun is a planet. This sentence is false (Sun is a star). Hence, it is a statement. Nikhil is a boy. This sentence is true. Hence, it is a statement. Newyork is in India. This sentence is false (Newyork is in USA) Hence, it is a statement

#### A compound statement formed by combining two or more statements by using the word "or" is called their disjunction.

Correct! Wrong!

A compound statement formed by combining two or more statements by using the word "or" is called their disjunction.

#### Symbol for existential quantifier is ____.

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Symbol for existential quantifier is ∃.

#### 'Or' is used in the following statement is exclusive. Sun rises or Moon sets.

Correct! Wrong!

The 'or' used in the statement is exclusive.

#### Which of the following is an implication.

Correct! Wrong!

p ⇒ q is an implication

#### p: Sun is hot q: Earth is round. The conjunction of the above statements is, Sun is hot or earth is round.

Correct! Wrong!

Given, p: Sun is hot q: Earth is round p ∨ q: Sun is hot and earth is round.

#### Translate the following statement into symbolic form. "Mona and Shyam went to Mumbai".

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The symbolic form of the given statement will be p ∧ q, where p: Mona went to Mumbai. q: Shaym went to Mumbai.

#### Which of following is a statement.

Correct! Wrong!

Two plus three is five. This sentence is true. Hence, it is a statement. Have you seen Hyderabad? This sentence is neither true nor false. Hence, it is not a statement. He is very talented. This is only a sentence not a statement because we need further information to decide whether the sentence is true or false. Hence, it is not a statement. x2+y2= 100 is not a statement.

#### Universal quantifier can be denoted by ____.

Correct! Wrong!

Universal quantifier can be denoted by ∀.

#### A bi-implication p ⇔ q is true, when:

Correct! Wrong!

A bi-implication p ⇔ q is true, when both p and q are true.

CBSE Class 11th Math 14 - Mathematical Reasoning MCQs
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