If a * b = a 2 + b 2 on the real numbers then * is

both commutative and associative

commutative but not associative

associative but not commutative

neither commutative nor associative

Which one is inverse of the statement p ∨ q → p ∧ q ?

¬ p ∧ ¬ q → ¬ p ∨ ¬ q

¬ p ∨ ¬ q → ¬ p ∧ ¬ q

E M B I B E

Mathematics Standard 12 Vol II>Chapter 12 - Discrete Mathematics>Exercise 3>Q 5

MEDIUM

12th Tamil Nadu Board

IMPORTANT

Earn 100

The operation $$ defined by $a b = \frac{a b}{7}$ is not a binary operation on

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Important Questions on Discrete Mathematics

EASY

12th Tamil Nadu Board

IMPORTANT

Mathematics Standard 12 Vol II>Chapter 12 - Discrete Mathematics>Exercise 3>Q 6

In the set

ℚ

define

a ⊙ b = a + b + a b .

For what value of

y,

for

3 ⊙ (y ⊙ 5) = 7

is

EASY

12th Tamil Nadu Board

IMPORTANT

Mathematics Standard 12 Vol II>Chapter 12 - Discrete Mathematics>Exercise 3>Q 7

If

a * b = \sqrt{a^{2} + b^{2}}

on the real numbers then

*

is

MEDIUM

12th Tamil Nadu Board

IMPORTANT

Mathematics Standard 12 Vol II>Chapter 12 - Discrete Mathematics>Exercise 3>Q 8

Which one of the following statements has the truth value

T

?

EASY

12th Tamil Nadu Board

IMPORTANT

Mathematics Standard 12 Vol II>Chapter 12 - Discrete Mathematics>Exercise 3>Q 9

Which of the following statement has truth value

F ?

EASY

12th Tamil Nadu Board

IMPORTANT

Mathematics Standard 12 Vol II>Chapter 12 - Discrete Mathematics>Exercise 3>Q 10

If a compound statement involves

3

simple statements, then the number of rows in the truth table is

EASY

12th Tamil Nadu Board

IMPORTANT

Mathematics Standard 12 Vol II>Chapter 12 - Discrete Mathematics>Exercise 3>Q 11

Which one is inverse of the statement

(p \lor q) \to (p \land q) ?

EASY

12th Tamil Nadu Board

IMPORTANT

Mathematics Standard 12 Vol II>Chapter 12 - Discrete Mathematics>Exercise 3>Q 12

The Contrapositive of the statement

(p \lor q) \to r

is

EASY

12th Tamil Nadu Board

IMPORTANT

Mathematics Standard 12 Vol II>Chapter 12 - Discrete Mathematics>Exercise 3>Q 13

The truth table for $(p \land q) \lor \neg q$ is given below

$p$	$q$	$(p \land q) \lor \neg q$
$T$	$T$	$(a)$
$T$	$F$	$(b)$
$F$	$T$	$(c)$
$F$	$F$	$(d)$

Which one of the following is true? (where $\neg$ detones negation)

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The operation * defined by a*b=ab7 is not a binary operation on

Important Questions on Discrete Mathematics

Learn and Prepare for any exam you want !

The operation $$ defined by $a b = \frac{a b}{7}$ is not a binary operation on