Question:

In the given figure, the numbers associated with the rectangle, triangle, and ellipse are 1, 2, and 3, respectively. Which one among the given options is the most appropriate combination of \( P \), \( Q \), and \( R \)?

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When solving geometry problems involving multiple shapes, carefully observe the labels and dimensions associated with each shape. Use these details to assign values to the variables based on the geometric properties.

Updated On: Sep 17, 2025

\( P = 6; Q = 5; R = 3 \)
\( P = 5; Q = 6; R = 3 \)
\( P = 3; Q = 6; R = 6 \)
\( P = 5; Q = 3; R = 6 \)

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The Correct Option is A

Solution and Explanation

In this problem, we are given a figure involving three geometric shapes: a rectangle, a triangle, and an ellipse. We need to determine the most appropriate values for \( P \), \( Q \), and \( R \) based on the dimensions provided in the figure.
The number \( P \) is associated with the length of the rectangle's side. Since the side of the rectangle is labeled as 6, we can conclude that \( P = 6 \).
The number \( Q \) is associated with the height of the triangle. The height of the triangle is labeled as 5, so \( Q = 5 \).
The number \( R \) is associated with the length of the major axis of the ellipse. The length of the major axis is labeled as 3, so \( R = 3 \).
Thus, the correct values are \( P = 6 \), \( Q = 5 \), and \( R = 3 \).

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Questions Asked in GATE DA exam

Consider the following Python code snippet.

def f(a, b):
    if (a == 0):
        return b
    if (a % 2 == 1):
        return 2 * f((a - 1) / 2, b)
    return b + f(a - 1, b)

print(f(15, 10))

The value printed by the code snippet is 160 (Answer in integer).

GATE DA - 2025
Recursion

View Solution

Consider the following pseudocode.

Create empty stack S
Set x = 0, flag = 0, sum = 0
Push x onto S
while (S is not empty){
    if (flag equals 0){
        Set x = x + 1
        Push x onto S
    }
    if (x equals 8):
        Set flag = 1
    if (flag equals 1){
        x = Pop(S)
        if (x is odd):
            Pop(S)
        Set sum = sum + x
    }
}
Output sum

The value of \( sum \) output by a program executing the above pseudocode is:

GATE DA - 2025
Data Structures