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Stamps in an album can be arranged as 12 per page or 18 per page exactly. What is the greatest number of stamps one can have if they are fewer than 500?
- a)468
- b)540
- c)504
- d)432
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Stamps in an album can be arranged as 12 per page or 18 per page exact...
L.C.M. of 12 and 18 is 36.
∴ The required number of stamps is the largest multiple of 36, less than 500.
500 ÷ 36 = 13 R 32 as 36 × 13 = 468 and 36 × 14 = 504.
Thus, the required number of stamps = 468.
∴ The required number of stamps is the largest multiple of 36, less than 500.
500 ÷ 36 = 13 R 32 as 36 × 13 = 468 and 36 × 14 = 504.
Thus, the required number of stamps = 468.
Most Upvoted Answer
Stamps in an album can be arranged as 12 per page or 18 per page exact...
To find the greatest number of stamps that can be arranged in an album with either 12 or 18 stamps per page, we should look for the highest multiple of both 12 and 18 that is less than 500.
Step 1: Find the multiples of 12 and 18
- Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180, 192, 204, 216, 228, 240, 252, 264, 276, 288, 300, 312, 324, 336, 348, 360, 372, 384, 396, 408, 420, 432, 444, 456, 468, 480, 492
- Multiples of 18: 18, 36, 54, 72, 90, 108, 126, 144, 162, 180, 198, 216, 234, 252, 270, 288, 306, 324, 342, 360, 378, 396, 414, 432, 450, 468, 486
Step 2: Find the highest common multiple
From the lists above, we can see that the highest common multiple of 12 and 18 is 36.
Step 3: Find the highest multiple of 36 that is less than 500
To find the highest multiple of 36 that is less than 500, we can divide 500 by 36 and take the integer value:
500 ÷ 36 = 13.888...
The integer value is 13.
Step 4: Calculate the greatest number of stamps
To find the greatest number of stamps, we multiply the highest common multiple by the integer value:
36 × 13 = 468
Therefore, the greatest number of stamps that can be arranged in an album with either 12 or 18 stamps per page is 468 stamps.
Step 1: Find the multiples of 12 and 18
- Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180, 192, 204, 216, 228, 240, 252, 264, 276, 288, 300, 312, 324, 336, 348, 360, 372, 384, 396, 408, 420, 432, 444, 456, 468, 480, 492
- Multiples of 18: 18, 36, 54, 72, 90, 108, 126, 144, 162, 180, 198, 216, 234, 252, 270, 288, 306, 324, 342, 360, 378, 396, 414, 432, 450, 468, 486
Step 2: Find the highest common multiple
From the lists above, we can see that the highest common multiple of 12 and 18 is 36.
Step 3: Find the highest multiple of 36 that is less than 500
To find the highest multiple of 36 that is less than 500, we can divide 500 by 36 and take the integer value:
500 ÷ 36 = 13.888...
The integer value is 13.
Step 4: Calculate the greatest number of stamps
To find the greatest number of stamps, we multiply the highest common multiple by the integer value:
36 × 13 = 468
Therefore, the greatest number of stamps that can be arranged in an album with either 12 or 18 stamps per page is 468 stamps.
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Stamps in an album can be arranged as 12 per page or 18 per page exact...
Write any 2 pairs of prime numbers whose sum is also is a prime number
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Stamps in an album can be arranged as 12 per page or 18 per page exactly. What is the greatest number of stamps one can have if they are fewer than 500?a)468b)540c)504d)432Correct answer is option 'A'. Can you explain this answer?
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Stamps in an album can be arranged as 12 per page or 18 per page exactly. What is the greatest number of stamps one can have if they are fewer than 500?a)468b)540c)504d)432Correct answer is option 'A'. Can you explain this answer? for Class 5 2024 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about Stamps in an album can be arranged as 12 per page or 18 per page exactly. What is the greatest number of stamps one can have if they are fewer than 500?a)468b)540c)504d)432Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 5 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Stamps in an album can be arranged as 12 per page or 18 per page exactly. What is the greatest number of stamps one can have if they are fewer than 500?a)468b)540c)504d)432Correct answer is option 'A'. Can you explain this answer?.
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