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

In the given figure, EF and HJ are coded as 30 and 80, respectively. Which one among the given options is most appropriate for the entires marked (i) and (ii)?

GATE EE 2025 General Aptitude - Logical Reasoning Question 2 English

A
(i) EH ; (ii) 40
B
(i) JK: (ii) 36
C
(i) EG; (ii) 42
D
(i) PS; (ii) 14
2
GATE EE 2025
MCQ (Single Correct Answer)
+2
-0.67

Scores obtained by two students P and Q in seven courses are given in the table below. Based on the information given in the table, which one of the following statements is INCORRECT?

$$ \begin{array}{|l|l|l|l|l|l|l|l|} \hline \mathrm{P} & 22 & 89 & 50 & 45 & 78 & 60 & 39 \\ \hline \mathrm{Q} & 35 & 65 & 60 & 56 & 81 & 45 & 50 \\ \hline \end{array} $$

A
Average score of P is less than the average score of Q .
B
Median score of P is same as the median score of Q .
C
Difference between the maximum and minimum scores of P is greater than the difference between the maximum and minimum scores of $Q$.
D
Median score and the average score of Q are same.
3
GATE EE 2025
MCQ (Single Correct Answer)
+2
-0.67

Spheres of unit diameter are centered at ( $l, m, n$ ) where $l, m$ and $n$ take every possible integer values.

The distance between two spheres is computed from the center of one sphere to the center of the other sphere. For a given sphere, $x$ is the distance to its nearest sphere and $y$ is the distance to its next nearest sphere. The value of $\frac{y}{x}$ is :

A
$2 \sqrt{2}$
B
$\frac{1}{\sqrt{2}}$
C
$\sqrt{2}$
D
2
4
GATE EE 2025
MCQ (Single Correct Answer)
+2
-0.67

In the triangle PQR , the lengths of PT and TR are in the ratio of $3: 2$.

ST is parallel to QR. Two semi-circles are drawn with PS and PQ as diameters, as shown in the figure.

Which one of the following statements is true about the shaded area PQS?

Note: The figure shown is representative.

GATE EE 2025 General Aptitude - Numerical Ability Question 1 English
A
The shaded area is $\frac{16}{9}$ times the area of the semi-circle with the diameter PS.
B
The shaded area is equal to the area of the semi-circle with the diameter PS.
C
The shaded area is $\frac{14}{9}$ times the area of the semi-circle with the diameter PS.
D
The shaded area is $\frac{14}{25}$ times the area of the semi-circle with the diameter $P Q$.
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