InterviewSolution

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101.	Which of the following option is suitable, if A is “10110110”, B is”11100000” and C is”10100000”?(a) C=A or B(b) C=~A(c) C=~B(d) C=A and BI have been asked this question in class test.Enquiry is from Logic and Bit Operations in chapter The Foundation: Logics and Proofs of Discrete Mathematics
Answer» The CORRECT answer is (d) C=A and B To EXPLAIN: Output of and is 1 when both other INPUTS are ONE.

102.	Which of the following bits is the negation of the bits “010110”?(a) 111001(b) 001001(c) 101001(d) 111111This question was addressed to me by my school teacher while I was bunking the class.Question is taken from Logic and Bit Operations topic in section The Foundation: Logics and Proofs of Discrete Mathematics
Answer» The correct option is (C) 101001 For EXPLANATION I would say: Flip each of the bit to GET the NEGATION of the REQUIRED string.

103.	Let P: This is a great website, Q: You should not come back here. Then ‘This is a great website and you should come back here.’ is best represented by?(a) ~P V ~Q(b) P ∧ ~Q(c) P V Q(d) P ∧ QThe question was asked in class test.This interesting question is from Logics topic in portion The Foundation: Logics and Proofs of Discrete Mathematics
Answer» The correct choice is (b) P ∧ ~Q Easy EXPLANATION: The second part of the statement is NEGATED, HENCE negation operator is USED.

104.	Let P: We should be honest., Q: We should be dedicated., R: We should be overconfident. Then ‘We should be honest or dedicated but not overconfident.’ is best represented by?(a) ~P V ~Q V R(b) P ∧ ~Q ∧ R(c) P V Q ∧ R(d) P V Q ∧ ~RThe question was asked in my homework.My question is based upon Logics topic in section The Foundation: Logics and Proofs of Discrete Mathematics
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105.	Let P: I am in Delhi.; Q: Delhi is clean.; then q ^ p(q and p) is?(a) Delhi is clean and I am in Delhi(b) Delhi is not clean or I am in Delhi(c) I am in Delhi and Delhi is not clean(d) Delhi is clean but I am in MumbaiThis question was addressed to me by my school principal while I was bunking the class.Question is taken from Logics in chapter The Foundation: Logics and Proofs of Discrete Mathematics
Answer» The CORRECT option is (a) DELHI is clean and I am in Delhi The explanation: CONNECTOR should be ‘and’, that is Q and P.

106.	The truth value ‘9 is prime then 3 is even’.(a) False(b) TrueI have been asked this question in an online quiz.This interesting question is from Logics in portion The Foundation: Logics and Proofs of Discrete Mathematics
Answer» Right ANSWER is (b) True Best explanation: The first PART of the STATEMENT is false, HENCE WHOLE is true.

107.	Let P: IfSahil bowls, Saurabh hits a century.; Q: If Raju bowls, Sahil gets out on first ball.Now if P is true and Q is false then which of the following can be true?(a) Raju bowled and Sahil got out on first ball(b) Raju did not bowled(c) Sahil bowled and Saurabh hits a century(d) Sahil bowled and Saurabh got outThe question was posed to me during a job interview.I'd like to ask this question from Logics in section The Foundation: Logics and Proofs of Discrete Mathematics
Answer» The correct option is (c) Sahil bowled and Saurabh HITS a century To explain I WOULD say: EITHER hypothesis should be false or both (hypothesis and conclusion) should be true.

108.	Which of the following option is true?(a) If the Sun is a planet, elephants will fly(b) 3 +2 = 8 if 5-2 = 7(c) 1 > 3 and 3 is a positive integer(d) -2 > 3 or 3 is a negative integerThe question was posed to me during a job interview.I'm obligated to ask this question of Logics in portion The Foundation: Logics and Proofs of Discrete Mathematics
Answer» Correct choice is (a) If the Sun is a planet, ELEPHANTS will fly The best I can EXPLAIN: HYPOTHESIS is false, THUS the whole statement is TRUE.

109.	Let P: I am in Bangalore.; Q: I love cricket.; then q -> p(q implies p) is?(a) If I love cricket then I am in Bangalore(b) If I am in Bangalore then I love cricket(c) I am not in Bangalore(d) I love cricketI got this question during an interview for a job.This key question is from Logics in division The Foundation: Logics and Proofs of Discrete Mathematics
Answer» Correct ANSWER is (a) If I LOVE cricket then I am in Bangalore To explain I WOULD say: Q is hypothesis and P is conclusion. So the compound statement will be if hypothesis then conclusion.

110.	Which of the following statement is a proposition?(a) Get me a glass of milkshake(b) God bless you!(c) What is the time now?(d) The only odd prime number is 2The question was asked during an internship interview.My doubt is from Logics in chapter The Foundation: Logics and Proofs of Discrete Mathematics
Answer» CORRECT choice is (d) The only odd prime NUMBER is 2 The explanation: Only this STATEMENT has got the truth VALUE which is false.

111.	The truth value of ‘4+3=7 or 5 is not prime’.(a) False(b) TrueI have been asked this question during an online exam.My question is taken from Logics topic in division The Foundation: Logics and Proofs of Discrete Mathematics
Answer» Right choice is (b) True To explain I WOULD SAY: Compound statement with ‘or’ is true when either of the statement is true. Here the first PART of the statement is true, hence the whole is true.

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