IIT JEE & NEET Question Bank with Solution: 09/03/21

Friday, September 3, 2021

HSC Mathematical Logic Solved Textual MCQs : Maharashtra Board

Mathematical Logic

This MCQs are based on the Mathematics Part I Textbook of Maharashtra (click here for reference).

Q.1. If $p space logical and space q$ is false and $p space logical or space q$ is true, the______ is not true.

(A) $p logical or q$

(B) $p left right arrow q$

(D) $q logical or tilde p$

Q.2. $open parentheses p logical and q close parentheses rightwards arrow r$ is logically equivalent to_________.

(A) $p rightwards arrow open parentheses q rightwards arrow r close parentheses$

(B) $open parentheses p logical and q close parentheses rightwards arrow tilde r$

(D) $open parentheses p logical or q close parentheses rightwards arrow r$

Q.3. The negation of $p logical and open parentheses q rightwards arrow r close parentheses$ is______.

(A) $tilde p logical and open parentheses tilde q rightwards arrow tilde r close parentheses$

(B) $p logical or open parentheses tilde q logical or r close parentheses$

(D) $tilde p logical or open parentheses q logical and tilde r close parentheses$

Q.4. The negation of inverse of $tilde p rightwards arrow q$ is _______.

(A) $p logical and q$

(B) $tilde p logical and tilde q$

(D) $tilde q rightwards arrow tilde p$

Q.5. If $A equals open curly brackets 1 comma space 2 comma space 3 comma space 4 comma space 5 close curly brackets$ then which of the following is not true?

(A) $there exists space x space element of space A$ such that $x space plus space 3 space equals space 8$

(B) $there exists space x space element of space A$ such that $x space plus space 2 space less than space 9$

(C) $for all space x space element of space A comma space x space plus space 6 space greater or equal than space 9$

(D) $there exists space x element of space A$ such that $x space plus space 6 space less than space 10$

Q.6. Inverse of statement pattern $open parentheses p logical or q close parentheses rightwards arrow open parentheses p logical and q close parentheses$ is ________.

(A) $open parentheses p logical and q close parentheses rightwards arrow open parentheses p logical or q close parentheses$

(B) $tilde open parentheses p logical or q close parentheses rightwards arrow open parentheses p logical and q close parentheses$

(C) $open parentheses tilde p logical and tilde q close parentheses rightwards arrow open parentheses tilde p logical or tilde q close parentheses$

(D) $open parentheses tilde p logical or tilde q close parentheses rightwards arrow open parentheses tilde p logical and tilde q close parentheses$

Q.7. If $p logical and q$ is F, $p rightwards arrow q$ is F then truth values of p and q are________.

(A) T, T

(B) T, F

(D) F, F

Tabs

Friday, September 3, 2021

HSC Mathematical Logic Solved Textual MCQs : Maharashtra Board