Q1
Either Vishal or Akash will be the president.
Answer: B
Here,
p = Vishal is the president.
q = Akash is the president.
Statement: Either p or q
Negation:
~(p or q) = ~p and ~q
Hence, option (b).
CRE 2 - Negation of Statements
Answer each question to see the solution straight away. Use the keyboard to move faster.
Answer the next 10 questions based on the information given.
Each question given below is a statement followed by four different statements. Choose the one which is the correct negation of the given statement.
Q2
MULTIPLE CHOICE
Whenever Nutan and Palak go to parlor, Himanshi follows them.
Answer: C
Here,
p = Nutan and Palak go to the parlor.
q = Himanshi follows them.
Statement: If p, q
i.e., p ⇒ q.
Negation: p and ~q.
i.e., Nutan and Palak go to the parlor and Himanshi does not follow them.
Hence, option (c).
Q3
MULTIPLE CHOICE
Ankush will go to school, only if his stomach is full.
Answer: B
Here,
p = Stomach is full.
q = Ankush is going to school.
Statement: Only if p, q.
i.e., q ⇒ p
Negation: q and ~p.
Hence, option (b).
Q4
MULTIPLE CHOICE
Unless Bindu plays guitar, Geeta will not play piano.
Answer: C
Here,
p = Bindu is playing guitar.
q = Geeta is not playing piano.
Statement: Unless p, q
i.e., ~p ⇒ q
Negation: ~p and ~q.
Hence, option (c).
Q5
MULTIPLE CHOICE
Unless the change happens, the problem will not be solved.
Answer: A
Here,
p = Change happens.
q = Problem is not solved.
Statement: Unless p, q
i.e., ~p ⇒ q
Negation: ~p and ~q.
Hence, option (a).
Q6
MULTIPLE CHOICE
The play was long but entertaining.
Answer: C
Here,
p = Play was long.
q = Play was entertaining.
Statement: p and q
Negation: ~(p and q)
∴ ~p or ~q
Hence, option (c).
Q7
MULTIPLE CHOICE
Unless Hardik learns driving, he cannot go on the roadtrip.
Answer: B
Here,
p = Hardik learns driving.
q = Hardik does not go on roadtrip.
Statement: Unless p, q
i.e., ~p ⇒ q
Negation: ~p and ~q.
Hence, option (b).
Q8
MULTIPLE CHOICE
He either starts a business or he will join a job.
Answer: D
Here,
p = He starts a business.
q = He joins a job.
Statement: Either p or q
Negation:
~(p or q) = ~p and ~q
Hence, option (d).
Q9
MULTIPLE CHOICE
If you speak well, you will become celebrity.
Answer: B
Here,
p = You speak well.
q = You are a celebrity.
Statement: If p, q
i.e., p ⇒ q.
Negation: p and ~q.
Hence, option (b).
Q10
MULTIPLE CHOICE
The class will go on a filed trip, only if everyone passes the exam.
Answer: C
Here,
p = Everyone passed the exam.
q = Class went on the trip.
Statement: Only if p, q.
i.e., q ⇒ p
Negation: q and ~p.
Hence, option (c).