Mathematical Reasoning — Mathematics

Test your limits with our Elite Pro-Vault Questions for mathematics

Question 1
HardJEE

The negation of thestatement"Allstudentsarehardworking"the statement "All students are hardworking" is:

A. Some students are not hardworking
B. No student is hardworking
C. Some students are hardworking
D. All students are not hardworking
Question 2
HardJEE

The truth table of (pimpliesq)land(qimpliesp)(p \\implies q) \\land (q \\implies p) is logically equivalent to:

A. p \iff q
B. p \implies q
C. q \implies p
D. p \land q
Question 3
HardJEE

The contrapositive of "If a number is divisible by 6, then it is divisible by 2" is:

A. If a number is not divisible by 2, then it is not divisible by 6
B. If a number is divisible by 2, then it is divisible by 6
C. If a number is not divisible by 6, then it is not divisible by 2
D. If a number is not divisible by 2, then it is divisible by 6

Unlock 50+ Elite Questions for Mathematical Reasoning

Join VyomPrep Pro to access the full question bank, Socratic hints, and detailed Mentor Insights.

Start Practicing Now