If p , q , r are simple propositions, then p ∧ q ∧ q ∧ r is true if

p is true and q and r are false

The logical expression Xin its simplest form for the truth table a b X 1 0 0 1 1 1 0 1 0 0 0 0

EASY

VITEEE

IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 18 - Mathematical Reasoning, Binary Operation and Group Theory>Exercise 1>Q 1

~ (p \lor (~ q))

is equal to

EASY

VITEEE

IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 18 - Mathematical Reasoning, Binary Operation and Group Theory>Exercise 1>Q 2

If

p, q, r

are simple propositions, then

(p \land q) \land (q \land r)

is true if

MEDIUM

VITEEE

IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 18 - Mathematical Reasoning, Binary Operation and Group Theory>Exercise 1>Q 3

~ p \land q

is logically equivalent to

EASY

VITEEE

IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 18 - Mathematical Reasoning, Binary Operation and Group Theory>Exercise 1>Q 4

Let

p

be the proposition that Mathematics is an interesting and let

q

be the propositions that Mathematics is difficult, then the symbol

p \land q

means

EASY

VITEEE

IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 18 - Mathematical Reasoning, Binary Operation and Group Theory>Exercise 1>Q 5

Let

p

and

q

be two statements. Then,

p \lor q

is false, if

EASY

VITEEE

IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 18 - Mathematical Reasoning, Binary Operation and Group Theory>Exercise 1>Q 6

Which of the following is not a statement?

EASY

VITEEE

IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 18 - Mathematical Reasoning, Binary Operation and Group Theory>Exercise 1>Q 7

Which of the following is not a statement in logic?

EASY

VITEEE

IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 18 - Mathematical Reasoning, Binary Operation and Group Theory>Exercise 1>Q 8

If

p :

Raju is tall and

q :

Raju is intelligent, then the symbolic statement

~ p \lor q

means

$a$	$b$	$X$
$1$	$0$	$0$
$1$	$1$	$1$
$0$	$1$	$0$
$0$	$0$	$0$

The logical expression $X,$ in its simplest form for the truth table

$a$ $b$ $X$

$1$ $0$ $0$

$1$ $1$ $1$

$0$ $1$ $0$

$0$ $0$ $0$

Important Questions on Mathematical Reasoning, Binary Operation and Group Theory

Learn and Prepare for any exam you want !

The logical expression X, in its simplest form for the truth table a b X 1 0 0 1 1 1 0 1 0 0 0 0

Important Questions on Mathematical Reasoning, Binary Operation and Group Theory

Learn and Prepare for any exam you want !

The logical expression $X,$ in its simplest form for the truth table

$a$ $b$ $X$

$1$ $0$ $0$

$1$ $1$ $1$

$0$ $1$ $0$

$0$ $0$ $0$