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Pitiin,, , (4) SITARAMJI GANORKAR JUNIOR COLLEGE, , «(Gs), —, Date :-14/01/2022, Time :-90 Minutes, , jote : i) All Questions are compulsory, , Exam Name :-JEE/MHCET, , OF SCIENCE PATHROT, , Mark :- 30, , |) Darken ( ) the appropriate circle(#) of the most correct option/response with black ball point pen, , 1. Which of the following is statement?, , (a) Open the door (b) Do your homework, , (c) Switch on the fan (d) Two plus two is four, 2. If p: Sita gets promotion, q: Sita is, transferred to Pune. The verbal form of ~ p Gq, is written as :, , (a) Sita gets promotion and Sita gets, transferred to Pune., , (b) Sita does not get promotion then Sita will be, transferred to Pune, , (c) Sita gets promotion if Sita is transferred to, Pune, , (d) Sita does not get promotion if and dnlyif, Sita is transferred to Pune, , 3. The converse of If x is zer6.then'We cannot, divide by xis:, , (a) If we cannot divide by x'then xis zero, , (b) If we divide by x themx is non-zero, , (c) If x is non-zero then We can divide,by x., , (d) If we cannot divide by x then xjis non-zero., 4. Acomhpound statementp./. q is false only, when :, , (a) p is true and ais false, , (b) pis false but qistrue, , (c) atleast one of p or q is false, , (d) both p and q are false, 5. The converse of the statement If Sun is not, shining, then sky is filled with clouds is :, , (a) If sky is filled with clouds, then the Sun is, not shining, , (b) If Sun is shining, then sky is filled with, clouds, , (c) If sky is clear, then Sun is shining, (d) If Sun is not shining, then sky is not filled, with clouds, , 6. The contrapOsitive of the statement If, Chandigarh is‘eapital of Punjabpthen Chandigarh, is in India Ws, , (a) If Chandigarh is notin India, then, Chandigarh is not a capital of Punjab., , (b)1f Chandigartis in India, then Chandigarh is, capital of Punjab), , (c) If Chandigarh is not capital of Punjab, then, Chandigarh is not capital., , (d),fChandigarh is capital of Punjab, then, Chandigarh is not in India., , 7. The symbolic form of the statement since it, ‘is raining the atmosphere is very cold is :, , (2) pq () Pda (c)pAq d)pvq, , 8. The dual of the statement Manoj has the job, but he is not happy is :, , (a) Manoj has the job or he is not happy., , (b) Manoj has the job and he is not happy., , (c) Manoj has the job and he is happy., , (d) Manoj does not have the job and he is, happy., , 9. The dual of the statement Mango and Apple, are sweet fruits is :, , (a) Mango and Apple are not sweet fruits., (b) Mango is sweet fruit but not apple., (c) Apple is sweet fruit but not mango., (d) Mango or Apple are sweet fruits., , 10. ~[pv (~q)] is equal to:, (a) ~p ¥ q (b) (~p) Aq (c)~pV¥~p

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(d) ~p A ~q], 11. ~(pVq)is:, (a) ~p ¥ q (b) pV ~q (c) ~p V ~q (d)~pA~q, 12. Consider the circuit,, , I, , -—— Then, the current, , , , , , de, flow in the circuit is :, (a) (p-A.q) vr (b) (pA) (€) (p Vg) (d) None, , 13. If p,q are true and r is false statement then, which of the following is true statement?, , (a) (p Aq) V ris F (b)(p A.q)—risT, (c) (PY gq) AV risT (d) (P-g)~(P-HisT, , 14. Duals of the following statements are, given. Which one is not correct?, , (a) (pV q) A (r¥ 8), (p Aq) Vv (rs), , (b) [p v (~q)] 4 (~p), [p 4 (~a)] v (~P), , (c) (pAg)V 5 (pv q) Ar, (d)(pAq)As,(pAqvs, , 15. The simplified circuit for the folk oe, , , , —, , , , P q Nw, circuit is ; yo —, 77d, , eee, , ), 16, The symbolic f Qs gi tothe, J], , following circuit is : eH =, , WVQARpArV-gvar, (b) (p V q) A (~p V rv ~q)Or, ~r, (c) (p Aq) V [~p A (rv ~q)] V ~r, , , , , , (d) pv g)A[(~p V (FA ~q)] V =r, , 17. Which of the following are considered to, be a statement in logic, , (a) Exclamatory sentence, , (b) Imperative sentence, , (c) Interrogative sentence, , (d) Mathematical identity, , 18. If a sentence is a logical statement, then it, is, , (a) Only true (b) Only false, , (c) Either true or false @ Tue and false, , 19. Whentwo cua logical Statements are, connected ocd ee the new, statement is, (a) Simo pound statement, se ee, , ete, , sie The word: ‘un combine two simple, <: more called, , Ol (@) Logicalco, , Been of these, , SO rectnes, Semtential connectives (c) Both a andb, , When two statement are combined by, , clic connective or , then the compound, 5 statement is called, , (a) Conjunction (b) Disjunction (c) Conditional, (d) Biconditional, , 22. When two statements are combined by, logical connective if.....then , then the compound, statement is called, , (a) Conjunction (b) Disjunction (c) Conditional, (d) Biconditional, 23. When two statements are combined by, , logical connective if and only if , then the, compound statement is called, , (a) Conjunction (b) Disjunction (c) Conditional, (d) Biconditional, , 24. Acompound statement p -. qis false, if, (a) pis true, q is false (b) p is false, q is true, (c) Both p, q are false (d) Both p, q are true, , 25. The truth value of the statement If 4 is an

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odd number, then 3 divides 6 is, (a)T (B)F (c)t dc, 26. If (pV q) is T and (p, A q) is T, then the, truth values of p, q respectively are,, (a) TF (b) FT (ce) TT EF, 27. Dual of a given statement is obtained by, replacing, (a) v by» (b) Abyv (c) both a and b, (d) either a or b, , 28. The truth value of the statement 14 is a, composite number or 15 is a prime number is, , (a) T (b) F (c) t (d)c, 29. Negation of the statement Every student, , has paid the fees is, , (a) Every student has not paid the fees., (b) Some students have paid the fees, , (c) Some students have not paid the fees, (d) All students has paid some fees., , 30. The contra positive of the statement If x is, zero, then we cannot divided by x is, , (a) If x is zero, then we cannot divided by x, (b) If we cannot divided by x, then x is zero, (c) If x is not zero, then we can divided by x, (d) If we can divided byx, then x is not zero, , Oe, YS, , a Qe, , eS