Beta Question Bank for Engineering: Mathematics>Chapter 23 - Mathematical Reasoning>EXERCISE-1>Q 10

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The converse of $p \to (q \to r)$ is-

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Important Questions on Mathematical Reasoning

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Beta Question Bank for Engineering: Mathematics>Chapter 23 - Mathematical Reasoning>EXERCISE-1>Q 11

If

p

and

q

are two statement then

(p \leftrightarrow ~ q)

is true when-

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Beta Question Bank for Engineering: Mathematics>Chapter 23 - Mathematical Reasoning>EXERCISE-1>Q 12

Statement

(p \land q) \to p

is-

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Beta Question Bank for Engineering: Mathematics>Chapter 23 - Mathematical Reasoning>EXERCISE-1>Q 13

If statements

p, q, r

have truth values

T, F, T

respectively then which of the following statement is true-

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Beta Question Bank for Engineering: Mathematics>Chapter 23 - Mathematical Reasoning>EXERCISE-1>Q 14

If statement

p \to (q \lor r)

is true then the truth values of statements

p, q, r

respectively-

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Beta Question Bank for Engineering: Mathematics>Chapter 23 - Mathematical Reasoning>EXERCISE-1>Q 15

Which of the following statement is a contradiction-

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Beta Question Bank for Engineering: Mathematics>Chapter 23 - Mathematical Reasoning>EXERCISE-1>Q 16

The negative of the statement "If a number is divisible by $15$ then it is divisible by $5$ and $3$ "

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Beta Question Bank for Engineering: Mathematics>Chapter 23 - Mathematical Reasoning>EXERCISE-1>Q 17

If

x = 5

and

y = - 2

then

x - 2 y = 9

. The contrapositive of this statement is-

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Beta Question Bank for Engineering: Mathematics>Chapter 23 - Mathematical Reasoning>EXERCISE-1>Q 18

The negation of the statement "

2 + 3 = 5

and

8 < 10

" is-