Discrete Mathematics

Which of the following statement is a proposition?

• Get me a glass of milkshake

• God bless you!

• What is the time now?

• The only odd prime number is 2

The truth value of ‘4+3=7 or 5 is not prime’.

• False

• True

Tags

CCSS.HSS.CP.A.1

Which of the following option is true?

• If the Sun is a planet, elephants will fly

• 3 +2 = 8 if 5-2 = 7

• 1 > 3 and 3 is a positive integer

• -2 > 3 or 3 is a negative integer

Let P: I am in Bangalore.; Q: I love cricket.; then q -> p(q implies p) is?

• If I love cricket then I am in Bangalore

• If I am in Bangalore then I love cricket

• I am not in Bangalore

• I love cricket

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

Let P: If Sahil 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?

• Raju bowled and Sahil got out on first ball

• Raju did not bowled

• Sahil bowled and Saurabh hits a century

• Sahil bowled and Saurabh got out

Tags

CCSS.HSS.CP.A.1

The truth value ‘9 is prime then 3 is even’.

• False

• True

Let P: I am in Delhi.; Q: Delhi is clean.; then q ^ p(q and p) is?

• Delhi is clean and I am in Delhi

• Delhi is not clean or I am in Delhi

• I am in Delhi and Delhi is not clean

• Delhi is clean but I am in Mumbai

Tags

CCSS.HSS.CP.A.1

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?

• ~P V ~Q

• P ∧ ~Q

• P V Q

• P ∧ Q

Tags

CCSS.HSS.CP.A.1

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?

• ~P V ~Q V R

• P ∧ ~Q ∧ R

• P V Q ∧ R

• P V Q ∧ ~R

Tags

CCSS.HSS.CP.A.1

 $P\vee\sim P=T$  

• True

• False

Tags

CCSS.HSS.CP.A.1