1
GATE AI 2024
MCQ (Single Correct Answer)
+2
-0

Visualize two identical right circular cones such that one is inverted over the other and they share a common circular base. If a cutting plane passes through the vertices of the assembled cones, what shape does the outer boundary of the resulting cross-section make ?

A
A rhombus
B
A triangle
C
An ellipse
D
A hexagon
2
GATE AI 2025
MCQ (Single Correct Answer)
+2
-0

If a real variable $x$ satisfies $3^{x^2}=27 \times 9^x$, then the value of $\frac{2^{x^2}}{\left(2^x\right)^2}$ is :

A
$2^{-1}$
B
$2^0$
C
$2^3$
D
$2^{15}$
3
GATE AI 2025
MCQ (Single Correct Answer)
+2
-0

The number of patients per shift ( $X$ ) consulting Dr. Gita in her past 100 shifts is shown in the figure. If the amount she earns is Rs $1000(X-0.2)$, what is the average amount (in she has earned per shift in the past 100 shifts?

Note : The figure shown is representative.

GATE AI 2025 General Aptitude - Numerical Ability Question 7 English
A
6,100
B
6,300
C
6,000
D
6,500