Test Details

Mathematical Logic

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/MHT-CET/NEET

Daily Online Quizz

12TH STD GURUKUL

Entrance

Maths

Physics

Biology

Chemistry

IIT-JEE/MHT-CET/NEET

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 :
If $p$: A ray $OP$ is denoted by $\overline{OP}$ and $q$ : A line $AB$ is denoted by $\overline{AB}$, then Which of the following options hold?

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

Question 3 :
State whether the following statement is True or False.<br>The sum of three odd numbers is even.<br>

Question 4 :
$7\neq 10$. Choose the option that expresses the statement using the correct connective.<br>

Question 6 :
Earth is a planet. Choose the option that is a negation of this statement.<br>

Question 7 :
State whether true or false.<div>The sum of the interior angles of a quadrilateral is $350^o$.</div>

Question 8 :
"If Deb and Sam go to the mall then it is snowing" <br>Which statement below is logically equivalent?

Question 9 :
<span>Which of the following statements is<b> </b>logically equivalent<b> </b>to </span>"The solution is easy if you read the question carefully."?

Question 10 :
<span>Check if the given statement is true or false.</span><div>$x(3x + 2) = 3x^2 + 2$</div>

Question 11 :
Consider the sentence: x<5 <br>Which of the following integers makes this open sentence true?

Question 12 :
$3x + 2x = 5P$, what will come at place of P

Question 14 :
<span>Check whether the given statement is true or false.</span><div>$4(x- 5) = 4x- 5$</div>

Question 15 :
If p : A man is happy<br> q : A man is rich<br>Then, the statement, "If a man is not happy, then he is not rich" is written as

Question 16 :
Assertion: (A): Let $\displaystyle n\in N $; <br><br>$\displaystyle p(n)=n(n+1) $ is an even number. Reason: (R): Product of two consecutive natural numbers is even.

Question 17 :
Which of the following connectives can be used for <span>describing a switching network?</span>

Question 18 :
If "All odd numbers are primes and the sum of three angles in a triangle is $190^\circ$", then "All odd numbers are primes or the sum of the angles in a triangle is $190^\circ$" is a

Question 19 :
The statement pattern $(p\wedge q)\wedge [\sim r\vee (p\wedge q)]\vee (\sim p\wedge q)$ is equivalent to _________.

Question 21 :
Which of the following is logically equivalent to $\sim (\sim p \Rightarrow q)$?<br>

Question 24 :
Assertion: STATEMENT 1:$\sim(p \leftrightarrow \sim q)$ is equivalent to $(p\vee \sim q) \wedge (\sim p\vee q)$ Reason: STATEMENT 2: $\sim(p \leftrightarrow q)$ is equivalent to $(p \wedge \sim q) \vee (\sim p \wedge q)$

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

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