## Vineet Loomba is teaching live on Unacademy Plus

MATHEMATICAL REASONING ALL YoU NEED FOR JEE MAIN (NTA SPECIAL) JEE MAIN RANK BOOSTER COURSE PREPARED BY ER. VINEET LOOMBA ITIAN IIT-JEE MENTOR

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

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)

100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Ex.1 Which of the following is not a statement - (A) 3 is a rational number (B) 8 7 (C) Please open the door (D) All prime numbers are odd. So Ans. [C] SUCCESS IN EE MAIN ER. VINEET LOOMBA (IIT RooRKEE)

100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Ex.2 Negation of " 3 is an odd number and 7 is a rational number is - (A) 3 is not an odd number and 7 is not a rational number (B) 3 is an odd number or 7 is a rational number (C) 3 is an odd number or 7 is not a rational number (D) 3 is not an odd number or 7 is not a rational number. use the property (p and q)p orq Ans.[D] Sol. SUCCESS IN JEE MAIN ER. VINEET LOOMBA (IIT RooRKEE)

100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Ex.3 The negation of statement (A) (p v ~a) A (p v q) Sol. Use the property Ans.[B] SUCCESS IN EE MAIN ER. VINEET LOOMBA (IIT RooRKEe)

100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) The negation of statement (A) (p Aq) v (q v r) Ex.4 (B) (~p ^ ~q) ^ (~q ^ r) (D) None of these Sol use the property Ans.[c] SUCCESS IN JEE MAIN ER. VINEET LOOMBA (IIT RooRKEE)

100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) The statement (p ^ ~q) vp is logically equivalent to (B) p (D) ~q Ex.5 (A) p (C) q Sol. T T F T F T F T F Hence statement (pAq) v p is logically equal to statement p Ans.[A] ER. VINEET LOOMBA (IIT RooRKEe) SUCCESS IN EE MAIN

100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Ex.6 If (p A~q) v (q A r) is true and. q and r both true then p is (A) True (B) False (C) may be true or false (D) none Let p be true then statement Sol. also let p be false then statement . p may be true or false. Ans.[C] SUCCESS IN EE MAIN ER. VINEET LOOMBA (IIT RooRKEe)

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)

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)