Test Details

Mathematical Logic

Unit 1

Dec 04, 10:00 PM

30 minutes

Dec 04, 10:30 PM

45.0 marks

MCQ

25 questions

Ankush Kowale

skills in communication, listening, collaboration, adaptability, empathy and patience.

Class Details

Entrance

Maths

Physics

Biology

Chemistry

IIT-JEE/NEET/MHT-CET

Daily Online Quizz

STD 11TH GURUKUL

Entrance

Maths

Physics

Biology

Chemistry

IIT-JEE/NEET/MHT-CET

Daily Online Quizz

With our unique teaching pedagogy, we have been able to help the students realize their dreams and get admission in to their desired institute for engineering or medical. The core pillars of our foundation are student-centric approach and feedback-driven mechanism.

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Question Text

Question 1 :
$5y + 2y + 7y = M$ find value of $M$

Question 3 :
State whether the following statement is True or False. Prime numbers do not have any factors.

Question 4 :
Check whether the given statement is true or false.<div>$4(x- 5) = 4x- 5$</div>

Question 5 :
Select and write the correct answer from the given alternative of the following question: If $ A = \left \{1 , 2 , 3 , 4 , 5 \right \} $ then which of the following is not true ?

Question 6 :
Select and write the correct answer from the given alternative of the following question: If $ p \wedge q $ is F , $ p \rightarrow q $ is F then the truth values of $p$ and $q$ are ___________.

Question 9 :
The disjunction of the statements "Hyderabad is in India; $2+2=4$", is

Question 10 :
State whether the following statement is True or False. All even numbers are composite numbers.

Question 11 :
Let $p, q$ and $r$ be any three logical statements. Which one of the following is true?

Question 13 :
State whether the following statement is True or False. The sum of three odd numbers is even.

Question 14 :
State whether the following statement is True or False. The product of two even numbers is always even.

Question 18 :
<div>State the following statement is True or False </div>If Shelly does not like John, then the truth value of the statement "Shelly likes Mike and she likes John" is True

Question 19 :
If $p, q, r$ are simple proportions with truth values $T, F, T$, then the truth value of $(\sim p\vee q)\wedge \sim r \Rightarrow p$ is

Question 20 :
Let p : Boys are playing q : Boys are happy the equivalent form of compound statement of $\displaystyle p\rightarrow q$ is

Question 22 :
If $p$'s truth value is $T$ and $q$'s truth value is $F$, then which of the following have the truth value $T$? (i) $p\vee q$ (ii) $\sim p\vee q$ (iii) $p\vee (\sim q)$ (iv) $p\wedge (\sim q)$

Question 23 :
Which of the following is logically equivalent to $\sim (\sim p\Rightarrow q)$?

Question 25 :
If $p\rightarrow (q \vee r)$ is false, then the truth values of $p,q,r$ are respectively

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