Let $a$ be any element in a boolean algebra $B.$ If $a+x=1$ and $ax=0,$ then

Important Questions on Mathematical Reasoning, Binary Operation and Group Theory

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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 14

$Z$ is the set of integers, $\left(Z{,}^{*}\right)$ is a group with $a^{*}b=a+b+1, a, b,\in G$ . Then, inverse of $a$ is

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 15

If every element of a group $G$ is its own inverse, then $G$ is

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 16

Let $G$ denote the set of all $n\times n$ non-singular matrices with rational numbers as entries. Then under multiplication

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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 17

If truth values of $p$ be $F$ and $q$ be $T.$ Then, the truth value of $~\left(~p\vee q\right)$ is

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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 18

Which of the following is always true?

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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 19

The false statement in the following is

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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 20

The statement $(p\Rightarrow q)\iff (~p\wedge q)$ is a

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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 21

The negation of the compound proposition $p\vee \left(~p\vee q\right)$