1
GATE AI 2025
MCQ (Single Correct Answer)
+2
-0

A regular dodecagon (12-sided regular polygon) is inscribed in a circle of radius $r \mathrm{~cm}$ as shown in the figure. The side of the dodecagon is d cm . All the triangles (numbered 1 to 12) in the figure are used to form squares of side $r \mathrm{~cm}$ and each numbered triangle is used only once to form a square.

The number of squares that can be formed and the number of triangles required to form each square, respectively, are:

Note: The figure shown is representative.

GATE AI 2025 General Aptitude - Logical Reasoning Question 3 English

A
$3 ; 4$
B
$4 ; 3$
C
$3 ; 3$
D
$3 ; 2$
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

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