Download App

Mathematical Logic — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsMathematical Logic1 Mark
Question
Express the following compound statements symbolically without examining the truth values.
i) 2 is an even number and 25 is a perfect square.
ii) A school is open or there is a holiday.
iii) Delhi is in India but Dhaka is not in Srilanks.
iv) 3 + 8 ≥ 12 if and only if 5 × 4 ≤ 25.
✓

Answer

Get the step-by-step solution for this question inside the Vidyadip app.

Get the answer in the app

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "Do as instructed" from Mathematical Logic→Mathematical Logic — all question types→Maths STD 12 Science question papers→Maharashtra Board STD 12 Science question papers→Maharashtra Board question paper generator→

Similar questions

Construct switching circuits of the following.
i) $\quad[(p \vee(\sim p \wedge q)] \vee[(\sim q \wedge r ) \vee \sim p]$
ii) $(p \wedge q \wedge r ) \vee[p \vee(q \wedge \sim r)]$
iii) $\quad[(p \wedge r) \vee(\sim q \wedge \sim r)] \vee(\sim p \wedge \sim r)$
→
Find the value of a for which the vectors $3 \hat{i}+2 \hat{j}+9 \hat{k}$ and $\hat{i}+a \hat{j}+3 \hat{k}$ are (i) perpendicular (ii) parallel
→
If $\bar{a}=3 \hat{i}+4 \hat{j}-5 \hat{k}$ and $\bar{b}=3 \hat{i}-4 \hat{j}-5 \hat{k}$
(i) find $\bar{a} \cdot \bar{b}$
(ii) the angle between $\bar{a}$ and $\bar{b}$.
(iii) the scalar projection of $\bar{a}$ in the direction of $\bar{b}$.
(iv) the vector projection of $\bar{b}$ along $\bar{a}$.
→
Write the converse, inverse and contrapositive of the following statements.
i) If a function is differentiable then it is continuous.
ii) If it rains then the match will be cancelled
→
In the diagram $\overline{ KL }=\bar{a}, \overline{ LN }=\bar{b}, \overline{ NM }=\bar{c}$ and $\overline{ KT }=\bar{d}$. Find in terms of $\bar{a}, \bar{b}, \bar{c}$ and $\bar{d}$.(i)
(ii) $\overrightarrow{ KM }$
(iii) $\overline{ TN }$
(iv) $\overline{ MT }$Image
→
If $A=\{1,2,3,4,5,6,7\}$, determine the truth value of the following.
i) $\exists x \in A$ such that $x-4=3$
ii) $\forall x \in A , \quad x+1 \geq 3$
iii) $\forall x \in A , 8-x \leq 7$
iv) $\exists x \in A$, such that $x+8=16$
→
What is the distance from the point $(2,3,4)$ to (i) the $XY$ plane? (ii) the $X$-axis? (iii) origin (iv) point $(-2,7,3)$.
→
State the vectors which are :
(i) equal in magnitude
(ii) parallel
(iii) in the same direction
(iv) equal
(v) negatives of one another

Image

→
Find the value of $k$ if $2 x+y=0$ is one of the lines represented by $3 x^2+k x y+2 y^2=0$.
→
Write the negations of the following.
i) 3 + 3 < 5 or 5 + 5 = 9
ii) 7 > 3 and 4 > 11
iii) The number is neither odd nor perfect square.
iv) The number is an even number if and only if it is divisible by 2.
→