UPSC Exam > UPSC Questions > 4 equidistant vertical lines are drawn on bo...
Start Learning for Free
4 equidistant vertical lines are drawn on board 4 equidistant horizontal lines are also drawn on the board cutting the 4 vertical lines, and the distance between any two consecutive horizontal lines is equal to that between any two consecutive vertical lines. What is the maximum number of squares thus formed?
- a)20
- b)34
- c)14
- d)8
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
4 equidistant vertical lines are drawn on board 4 equidistant horizon...
Single square boxes.
Single square boxes along a horizontal row = 3
Single square boxes along a vertical row = 3
Number of single square boxes = 3 × 3 = 9
Case II: Double square boxes = double square box along horizontal X double square box along vertical = 2 × 2 = 4
Case III: Triple square boxes = 1 × 1 = 1
∴ Total number of squares = 9 + 4 + 1 = 14
Most Upvoted Answer
4 equidistant vertical lines are drawn on board 4 equidistant horizon...
To solve this problem, let's break it down step by step:
1. Understanding the given information:
- There are 4 equidistant vertical lines drawn on a board.
- There are 4 equidistant horizontal lines drawn on the board, cutting the vertical lines.
- The distance between any two consecutive vertical lines is equal to the distance between any two consecutive horizontal lines.
2. Visualizing the lines:
To better understand the problem, let's visualize the lines on the board using a grid:
```
| | | |
-+-----+-----+-----+-
| | | |
-+-----+-----+-----+-
| | | |
-+-----+-----+-----+-
| | | |
-+-----+-----+-----+-
```
Here, the vertical lines are represented by "|" and the horizontal lines by "-".
3. Counting the squares:
To find the maximum number of squares formed, we need to determine all the possible combinations of squares that can be formed using these lines.
- 1x1 Squares: We can see that each intersection of a vertical and horizontal line forms a 1x1 square. So, there are 4x4 = 16 such squares.
- 2x2 Squares: We can observe that there are 3x3 = 9 possible 2x2 squares formed by the intersections of the lines.
- 3x3 Squares: There are 2x2 = 4 possible 3x3 squares.
- 4x4 Squares: There is only 1 possible 4x4 square.
Therefore, the total number of squares formed is 16 + 9 + 4 + 1 = 30.
4. Analyzing the options:
We are given a list of options to choose from: 20, 34, 14, and 8.
We can see that none of the options match our calculated result of 30 squares. Hence, none of the given options is correct.
However, if we assume that the given options are incorrect and calculate the maximum number of squares, we find that the correct answer is 30 squares (as calculated in step 3).
1. Understanding the given information:
- There are 4 equidistant vertical lines drawn on a board.
- There are 4 equidistant horizontal lines drawn on the board, cutting the vertical lines.
- The distance between any two consecutive vertical lines is equal to the distance between any two consecutive horizontal lines.
2. Visualizing the lines:
To better understand the problem, let's visualize the lines on the board using a grid:
```
| | | |
-+-----+-----+-----+-
| | | |
-+-----+-----+-----+-
| | | |
-+-----+-----+-----+-
| | | |
-+-----+-----+-----+-
```
Here, the vertical lines are represented by "|" and the horizontal lines by "-".
3. Counting the squares:
To find the maximum number of squares formed, we need to determine all the possible combinations of squares that can be formed using these lines.
- 1x1 Squares: We can see that each intersection of a vertical and horizontal line forms a 1x1 square. So, there are 4x4 = 16 such squares.
- 2x2 Squares: We can observe that there are 3x3 = 9 possible 2x2 squares formed by the intersections of the lines.
- 3x3 Squares: There are 2x2 = 4 possible 3x3 squares.
- 4x4 Squares: There is only 1 possible 4x4 square.
Therefore, the total number of squares formed is 16 + 9 + 4 + 1 = 30.
4. Analyzing the options:
We are given a list of options to choose from: 20, 34, 14, and 8.
We can see that none of the options match our calculated result of 30 squares. Hence, none of the given options is correct.
However, if we assume that the given options are incorrect and calculate the maximum number of squares, we find that the correct answer is 30 squares (as calculated in step 3).
Attention UPSC Students!
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.
|
Explore Courses for UPSC exam
|
|
Similar UPSC Doubts
Top Courses for UPSCView all
4 equidistant vertical lines are drawn on board 4 equidistant horizontal lines are also drawn on the board cutting the 4 vertical lines, and the distance between any two consecutive horizontal lines is equal to that between any two consecutive vertical lines. What is the maximum number of squares thus formed?a)20b)34c)14d)8Correct answer is option 'C'. Can you explain this answer?
Question Description
4 equidistant vertical lines are drawn on board 4 equidistant horizontal lines are also drawn on the board cutting the 4 vertical lines, and the distance between any two consecutive horizontal lines is equal to that between any two consecutive vertical lines. What is the maximum number of squares thus formed?a)20b)34c)14d)8Correct answer is option 'C'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 4 equidistant vertical lines are drawn on board 4 equidistant horizontal lines are also drawn on the board cutting the 4 vertical lines, and the distance between any two consecutive horizontal lines is equal to that between any two consecutive vertical lines. What is the maximum number of squares thus formed?a)20b)34c)14d)8Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 4 equidistant vertical lines are drawn on board 4 equidistant horizontal lines are also drawn on the board cutting the 4 vertical lines, and the distance between any two consecutive horizontal lines is equal to that between any two consecutive vertical lines. What is the maximum number of squares thus formed?a)20b)34c)14d)8Correct answer is option 'C'. Can you explain this answer?.
4 equidistant vertical lines are drawn on board 4 equidistant horizontal lines are also drawn on the board cutting the 4 vertical lines, and the distance between any two consecutive horizontal lines is equal to that between any two consecutive vertical lines. What is the maximum number of squares thus formed?a)20b)34c)14d)8Correct answer is option 'C'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 4 equidistant vertical lines are drawn on board 4 equidistant horizontal lines are also drawn on the board cutting the 4 vertical lines, and the distance between any two consecutive horizontal lines is equal to that between any two consecutive vertical lines. What is the maximum number of squares thus formed?a)20b)34c)14d)8Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 4 equidistant vertical lines are drawn on board 4 equidistant horizontal lines are also drawn on the board cutting the 4 vertical lines, and the distance between any two consecutive horizontal lines is equal to that between any two consecutive vertical lines. What is the maximum number of squares thus formed?a)20b)34c)14d)8Correct answer is option 'C'. Can you explain this answer?.
Solutions for 4 equidistant vertical lines are drawn on board 4 equidistant horizontal lines are also drawn on the board cutting the 4 vertical lines, and the distance between any two consecutive horizontal lines is equal to that between any two consecutive vertical lines. What is the maximum number of squares thus formed?a)20b)34c)14d)8Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of 4 equidistant vertical lines are drawn on board 4 equidistant horizontal lines are also drawn on the board cutting the 4 vertical lines, and the distance between any two consecutive horizontal lines is equal to that between any two consecutive vertical lines. What is the maximum number of squares thus formed?a)20b)34c)14d)8Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
4 equidistant vertical lines are drawn on board 4 equidistant horizontal lines are also drawn on the board cutting the 4 vertical lines, and the distance between any two consecutive horizontal lines is equal to that between any two consecutive vertical lines. What is the maximum number of squares thus formed?a)20b)34c)14d)8Correct answer is option 'C'. Can you explain this answer?, a detailed solution for 4 equidistant vertical lines are drawn on board 4 equidistant horizontal lines are also drawn on the board cutting the 4 vertical lines, and the distance between any two consecutive horizontal lines is equal to that between any two consecutive vertical lines. What is the maximum number of squares thus formed?a)20b)34c)14d)8Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of 4 equidistant vertical lines are drawn on board 4 equidistant horizontal lines are also drawn on the board cutting the 4 vertical lines, and the distance between any two consecutive horizontal lines is equal to that between any two consecutive vertical lines. What is the maximum number of squares thus formed?a)20b)34c)14d)8Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice 4 equidistant vertical lines are drawn on board 4 equidistant horizontal lines are also drawn on the board cutting the 4 vertical lines, and the distance between any two consecutive horizontal lines is equal to that between any two consecutive vertical lines. What is the maximum number of squares thus formed?a)20b)34c)14d)8Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup