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Practice Problems Mathematical Reasoning Set-2
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This lesson takes up more problems on mathematical reasoning for jee main.

## Vineet Loomba is teaching live on Unacademy Plus

Vineet Loomba
IITian | No. 1 Educator in IIT-JEE (Maths) | 4 Million Minutes Watch Time | 8+ Years Experience | Youtube: Maths Wallah | vineetloomba.com

U
good morning sir
thanks sir
thanks sr
if p--(~pu~q) is false then the truth values of p and q.sir pls solve this question
Thanks sir for your great help
Brilliant
Vineet Loomba
2 months ago
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1. MATHEMATICAL REASONING ALL YoU NEED FOR JEE MAIN (NTA SPECIAL) JEE MAIN RANK BOOSTER COURSE PREPARED BY ER. VINEET LOOMBA ITIAN IIT-JEE MENTOR

2. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) ABOUT ME B. Tech. From IIT Roorkee IIT-JEE Mentor Since 2010. * Many of my students are pursuing courses in IITs, NITs, BITs etc unacademy Currently running my own Coaching Institute for JEE Main and Advanced Follow me @ https://unacademy.com/user/vineetloomba to get updates or search me on Google

3. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) SPECIAL ANNOUNCEMENT Share useful links and advice with your learners... CRASH COURSE FOR JEE MAIN 2019 (JANUARY SESSION) Find courses & lessons 735 Courses IIT JEE 2,521 Courses Str Chemistry 797 Courses Details in Plus Tab wwEest HINDI Home My Library Plus Profile SUCCESS IN JEE MAIN ER. VINEET LoOMBA (IIT RooRKEE)

4. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Ex.7 Negation of the statement If a number is prime then it is odd is. (A) A number is not prime but odd. (B) A number is prime and it is not odd. (C) A number is neither primes nor odd. (D) None of these So se the property Hence (B) is correct option. Ans.[B] SUCCESS IN JEE MAIN ER. VINEET LOOMBA (IIT RooRKEE)

5. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) If p, q, r are substatements with truth values. T, T, F then the Statement r-> (p ^ ~q) v (-q ~r) will be (A) True (B) False (C) may be true or false (D) None of these Ex.8 F-(F v F) F F=T Ans.[A] SUCCESS IN JEE MAIN ER. VINEET LOOMBA (IIT RooRKEE)

6. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Ex.9The Negation of the statement (p ^ q) r is (A) (~p vq)- r (D) (~p va)A r use the property Sol. Hence (C) is correct option Ans.LC] SUCCESS IN EE MAIN ER. VINEET LOOMBA (IIT RooRKEe)

7. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Ex.10 The contrapositive of p (~p ^ q) is- (A) p(pv) (B) (p A q)p (C) (pv ~ q) p (D) (pv q)p So contrapositive of a b is b a Hence (D) is correct option Ans. D] SUCCESS IN JEE MAIN ER. VINEET LOOMBA (IIT RooRKEE)

8. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Ex.11 p v q) is logically equal to (A) p-> q (C) ~ (p q) (B) q-> p Hence (A) is correct option Ans.[A] SUCCESS IN EE MAIN ER. VINEET LOOMBA (IIT RooRKEE)

9. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Ex.12 The statement pq is equal to (A) (~p v q) v (p v q) (B) (p ^ q) v (~p ~q) (C) (~p v q) ^ (pv ~ q) Sol. We know that Hence (C) is correct option Ans.[C] SUCCESS IN JEE MAIN ER. VINEET LOOMBA (IIT RooRKEE)

10. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Ex.13 The statement (p ^ q) -p is a (A) Tautology (B) contradiction (C) Neither tautology nor contradiction (D) None of these Sol. TITIT F T F FIF Hence the statement neither tautology nor contradiction. Ans.[C] SUCCESS IN JEE MAIN ER. VINEET LOOMBA (IIT RooRKEE)

11. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Ex.15 The statement (p->-q) (p ^ q) is a- (A) Tautology (B) contradiction (C) Neither tautology nor contradiction (D) None Sol TIF| F F T T F| T | F | T | F | Hence the statement is a contradiction Ans.[B] SUCCESS IN JEE MAIN ER. VINEET LOOMBA (IIT RooRKEE)