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 \( R \)?

Show Hint

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: Apr 4, 2025

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

Hide Solution

Verified By Collegedunia

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 \( R = 3 \).

Was this answer helpful?

Questions Asked in GATE DA exam

Consider a directed graph \( G = (V,E) \), where \( V = \{0,1,2,\dots,100\} \) and
\[ E = \{(i,j) : 0 < j - i \leq 2, \text{ for all } i,j \in V \}. \] Suppose the adjacency list of each vertex is in decreasing order of vertex number, and depth-first search (DFS) is performed at vertex 0. The number of vertices that will be discovered after vertex 50 is:
- GATE DA - 2025
- Data Structures
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

View Solution

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

View More Questions

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 \( R \)?

Show Hint

The Correct Option is A

Solution and Explanation

Top Questions on Geometry

Questions Asked in GATE DA exam

Notes on Geometry