JEE Maths Quiz on Mathematical Reasoning
JEE Maths Quiz on Mathematical Reasoning : In this article you will get to Online test for JEE Main, JEE Advanced, UPSEE, WBJEE and other engineering entrance examinations that will help the students in their preparation. These tests are free of cost and will useful in performance and inculcating knowledge. In this post we are providing you quiz on Mathematical Reasoning
Quiz on Mathematical Reasoning
Q1. Which of the following is the contrapositive of if two triangles are identical, then these are similar?
a) if two triangles are not similar, they are not identical
b) If two triangles are not identical, then these are not similar
c) If two triangles are not identical, then these are similar
d) If two triangles are not similar, then these are identical
a) if two triangles are not similar, they are not identical
Solution:
Consider the following statements
p: Two triangles are identical.
q: Two triangles are similar.
Clearly, the given statement in symbolic form is p ⇒ q.
Therefore, its contrapositive is given by ∼ q ⇒ ∼ p
Now,
∼p: two triangles are not identical.
∼q: two triangles are not similar.
Therefore, ~ q ⇒ ~ p: If two triangles are not similar, then these are not identical.
Q2. If p is true and q is false, then which of the following statements is not true?
a) p ∨ q
b) p ⇒ q
c) p ∧ ( ~q)
d) q ⇒ p
b) p ⇒ q
Q3. Which of the following is logically equivalent to ~( ~ p ⇒ q)?
a) p ∧ q
b) p ∧ ~q
c) ~p ∧ q
d) ~p ∧ ~q
d) ~p ∧ ~q
Q4. The Boolean Expression (p ∧ ~q) ∨ q ∨( ~p ∧ q) is equivalent to ___________.
a) p ∨ q
b) p ∧ q
c) ~p ∧ q
d) ~p ∧ ~q
a) p ∨ q
Solution:
[(p ∧ ∼q) ∨ q] ∨ (∼p ∧ q) = (p ∨ q) ∧ (∼q ∨ q) ∨ (∼p ∧ q)
= (p ∨ q) ∧ [t ∨ (∼p ∧ q)]
= (p ∨ q) ∧ t
= p ∨ q
Q5. If each of the following statements is true, then P ⇒ ~q, q ⇒ r, ~r
a) p is false
b) p is true
c) q is true
d) None of these
a) p is false
Subjectwise Tricks Tips & Question with Solution PDFs
S.NO  Subject Name  Topicwise PDFs Download Link 
1.  Chemistry Notes PDF  Click Here to Download Now 
2.  Maths Notes PDF  Click Here to Download Now 
3.  Physics Notes PDF  Click Here to Download Now 
4.  Biology Notes PDF  Click Here to Download Now 
Syllabus and Previous Year Papers 

Chemistry Syllabus for NEET & AIIMS Exams  Click Here 
Chemistry Syllabus for JEE Mains & Advanced  Click Here 
Chapter Wise NEET Chemistry Syllabus  Click Here 
Physics Syllabus for NEET & AIIMS Exams  Click Here 
Physics Syllabus for JEE Mains & Advanced  Click Here 
Chapter Wise NEET Physics Syllabus  Click Here 
Biology Syllabus for NEET & AIIMS Exams  Click Here 
Chapter Wise NEET Biology Syllabus  Click Here 
Maths Syllabus for JEE Mains & Advanced  Click Here 
Download NEET Previous Year Question Papers with Solution  Click Here 


https://www.facebook.com/ExamsRoadOfficial  
Telegram  https://telegram.me/ExamsRoad 
https://twitter.com/ExamsRoad  
https://www.instagram.com/ExamsRoad/  
YouTube  Click Here To Subscribe Now 
Thank You.
By TEAM ExamsRoad.com