1
GATE EE 2025
MCQ (Single Correct Answer)
+2
-0.67

A Boolean function is given as

$$ f=(\bar{u}+\bar{v}+\bar{w}+\bar{x}) \cdot(\bar{u}+\bar{v}+\bar{w}+x) \cdot(\bar{u}+v+\bar{w}+\bar{x}) \cdot(\bar{u}+v+\bar{w}+x) $$

The simplified form of this function is represented by

A
GATE EE 2025 Digital Electronics - Boolean Algebra Question 1 English Option 1
B
GATE EE 2025 Digital Electronics - Boolean Algebra Question 1 English Option 2
C
GATE EE 2025 Digital Electronics - Boolean Algebra Question 1 English Option 3
D
GATE EE 2025 Digital Electronics - Boolean Algebra Question 1 English Option 4
2
GATE EE 2025
MCQ (Single Correct Answer)
+1
-0.33

$$ \text { The I-V characteristics of the elements between the nodes } X \text { and } Y \text { is best depicted } $$

GATE EE 2025 Electric Circuits - Network Elements Question 1 English
A
GATE EE 2025 Electric Circuits - Network Elements Question 1 English Option 1
B
GATE EE 2025 Electric Circuits - Network Elements Question 1 English Option 2
C
GATE EE 2025 Electric Circuits - Network Elements Question 1 English Option 3
D
GATE EE 2025 Electric Circuits - Network Elements Question 1 English Option 4
3
GATE EE 2025
MCQ (Single Correct Answer)
+1
-0.33

A nullator is defined as a circuit element where the voltage across the device and the current through the device are both zero. A series combination of a nullator and a resistor of value, $R$, will behave as a

A
resistor of value $R$
B
nullator
C
open circuit
D
short circuit
4
GATE EE 2025
MCQ (Single Correct Answer)
+1
-0.33

The input voltage $v(t)$ and current $i(t)$ of a converter are given by, $v(t)=300 \sin (\omega t) \mathrm{V}$

$$ i(t)=10 \sin \left(\omega t-\frac{\pi}{6}\right)+2 \sin \left(3 \omega t+\frac{\pi}{6}\right)+\sin \left(5 \omega t+\frac{\pi}{2}\right) A $$

where, $\omega=2 \pi \times 50 \mathrm{rad} / \mathrm{s}$. The input power factor of the converter is closest to

A
0.845
B
0.867
C
0.887
D
1.0
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