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Manoj wants to paste wallpaper on wall of his room. The wall is 4 meters and 50 cm in length and 3 meters and 50 cm in height. But the wall should be covered completely only by square pieces of wallpaper having same size. What is the number of maximum sized wallpaper squares needed to cover the walls completely?
- a)8
- b)15.75
- c)63
- d)12
- e)24
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Manoj wants to paste wallpaper on wall of his room. The wall is 4 mete...
Wall can be covered only by using square sized wallpaper pieces.
Different sized squares are not allowed.
Length = 4 m 50 cm = 450 cm ; Height = 3 m 50 cm = 350 cm
Maximum square size of possible means HCF of 350 and 450
We can see that 350 and 450 can be divided by 50.
On dividing by 50, we get 7 and 9.
Since we cannot divide further, HCF = 50 = size of side of square
Different sized squares are not allowed.
Length = 4 m 50 cm = 450 cm ; Height = 3 m 50 cm = 350 cm
Maximum square size of possible means HCF of 350 and 450
We can see that 350 and 450 can be divided by 50.
On dividing by 50, we get 7 and 9.
Since we cannot divide further, HCF = 50 = size of side of square
Most Upvoted Answer
Manoj wants to paste wallpaper on wall of his room. The wall is 4 mete...
Problem:
Manoj wants to paste wallpaper on the wall of his room. The wall is 4 meters and 50 cm in length and 3 meters and 50 cm in height. But the wall should be covered completely only by square pieces of wallpaper having the same size. What is the number of maximum sized wallpaper squares needed to cover the walls completely?
Solution:
To find the number of maximum sized wallpaper squares needed to cover the wall completely, we need to find the size of the wallpaper square that can completely cover the wall without any wastage.
Step 1: Convert the length and height of the wall into centimeters.
Length of the wall = 4 meters and 50 cm = (4 x 100) cm + 50 cm = 450 cm
Height of the wall = 3 meters and 50 cm = (3 x 100) cm + 50 cm = 350 cm
Step 2: Find the common factor of 450 and 350.
The common factor of 450 and 350 is 50.
Step 3: Divide the length and height of the wall by the common factor.
Length of the wall = 450 cm ÷ 50 = 9
Height of the wall = 350 cm ÷ 50 = 7
Step 4: Multiply the quotient obtained in step 3 to get the maximum number of squares needed.
Maximum number of squares needed = 9 x 7 = 63
Therefore, the number of maximum sized wallpaper squares needed to cover the walls completely is 63.
Answer: Option (c) 63
Manoj wants to paste wallpaper on the wall of his room. The wall is 4 meters and 50 cm in length and 3 meters and 50 cm in height. But the wall should be covered completely only by square pieces of wallpaper having the same size. What is the number of maximum sized wallpaper squares needed to cover the walls completely?
Solution:
To find the number of maximum sized wallpaper squares needed to cover the wall completely, we need to find the size of the wallpaper square that can completely cover the wall without any wastage.
Step 1: Convert the length and height of the wall into centimeters.
Length of the wall = 4 meters and 50 cm = (4 x 100) cm + 50 cm = 450 cm
Height of the wall = 3 meters and 50 cm = (3 x 100) cm + 50 cm = 350 cm
Step 2: Find the common factor of 450 and 350.
The common factor of 450 and 350 is 50.
Step 3: Divide the length and height of the wall by the common factor.
Length of the wall = 450 cm ÷ 50 = 9
Height of the wall = 350 cm ÷ 50 = 7
Step 4: Multiply the quotient obtained in step 3 to get the maximum number of squares needed.
Maximum number of squares needed = 9 x 7 = 63
Therefore, the number of maximum sized wallpaper squares needed to cover the walls completely is 63.
Answer: Option (c) 63
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Manoj wants to paste wallpaper on wall of his room. The wall is 4 meters and 50 cm in length and 3 meters and 50 cm in height. But the wall should be covered completely only by square pieces of wallpaper having same size. What is the number of maximum sized wallpaper squares needed to cover the walls completely?a)8b)15.75c)63d)12e)24Correct answer is option 'C'. Can you explain this answer?
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Manoj wants to paste wallpaper on wall of his room. The wall is 4 meters and 50 cm in length and 3 meters and 50 cm in height. But the wall should be covered completely only by square pieces of wallpaper having same size. What is the number of maximum sized wallpaper squares needed to cover the walls completely?a)8b)15.75c)63d)12e)24Correct answer is option 'C'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Manoj wants to paste wallpaper on wall of his room. The wall is 4 meters and 50 cm in length and 3 meters and 50 cm in height. But the wall should be covered completely only by square pieces of wallpaper having same size. What is the number of maximum sized wallpaper squares needed to cover the walls completely?a)8b)15.75c)63d)12e)24Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Manoj wants to paste wallpaper on wall of his room. The wall is 4 meters and 50 cm in length and 3 meters and 50 cm in height. But the wall should be covered completely only by square pieces of wallpaper having same size. What is the number of maximum sized wallpaper squares needed to cover the walls completely?a)8b)15.75c)63d)12e)24Correct answer is option 'C'. Can you explain this answer?.
Manoj wants to paste wallpaper on wall of his room. The wall is 4 meters and 50 cm in length and 3 meters and 50 cm in height. But the wall should be covered completely only by square pieces of wallpaper having same size. What is the number of maximum sized wallpaper squares needed to cover the walls completely?a)8b)15.75c)63d)12e)24Correct answer is option 'C'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Manoj wants to paste wallpaper on wall of his room. The wall is 4 meters and 50 cm in length and 3 meters and 50 cm in height. But the wall should be covered completely only by square pieces of wallpaper having same size. What is the number of maximum sized wallpaper squares needed to cover the walls completely?a)8b)15.75c)63d)12e)24Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Manoj wants to paste wallpaper on wall of his room. The wall is 4 meters and 50 cm in length and 3 meters and 50 cm in height. But the wall should be covered completely only by square pieces of wallpaper having same size. What is the number of maximum sized wallpaper squares needed to cover the walls completely?a)8b)15.75c)63d)12e)24Correct answer is option 'C'. Can you explain this answer?.
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