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Which of the following is not logically equivalent to the proposition, "A real number is either rational or irrational."?

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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 10
The composition table for a binary operation, * defined on a set S is symmetric about the leading diagonal, then
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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 11
If any one of the rows of the composition table for a binary operation* on a set S coincides with the top most row of the table, then
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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 12
If the binary operation * is defined on a set of ordered pairs of real numbers as a,b *c,d=ad+bc,bd and is associative, then 1, 2*3, 5*3, 4
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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 13
Let a be any element in a boolean algebra B. If a+x=1 and ax=0, then
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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, Z,* is a group with a*b=a+b+1, a, b,∈G . Then, inverse of a is
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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 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×n non-singular matrices with rational numbers as entries. Then under multiplication
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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 17
If truth values of p be F and q be T. Then, the truth value of ~~p∨q is