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Find the smallest number which when divided by 25, 40 and 60 leaves remainder 7 in each case?
- a)607
- b)608
- c)609
- d)610
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Find the smallest number which when divided by 25, 40 and 60 leaves re...
5×4×5×2×3=600
Required numbers is 600+7=607
This question is part of UPSC exam. View all Class 5 courses
Most Upvoted Answer
Find the smallest number which when divided by 25, 40 and 60 leaves re...
To find the smallest number that leaves a remainder of 7 when divided by 25, 40, and 60, we can use the concept of the least common multiple (LCM).
Finding the LCM:
1. Begin by finding the prime factorization of each number:
- 25 = 5 * 5
- 40 = 2 * 2 * 2 * 5
- 60 = 2 * 2 * 3 * 5
2. Identify the highest power of each prime factor present in any of the numbers:
- 2^3, 3^1, 5^2
3. Multiply these prime factors with their highest power to find the LCM:
- LCM = 2^3 * 3^1 * 5^2 = 8 * 3 * 25 = 600
Finding the smallest number:
1. Since we need to find the smallest number that leaves a remainder of 7 when divided by 25, 40, and 60, we can add the remainder (7) to the LCM (600) to get the desired number:
- Smallest number = LCM + remainder = 600 + 7 = 607
Therefore, the smallest number that leaves a remainder of 7 when divided by 25, 40, and 60 is 607.
Finding the LCM:
1. Begin by finding the prime factorization of each number:
- 25 = 5 * 5
- 40 = 2 * 2 * 2 * 5
- 60 = 2 * 2 * 3 * 5
2. Identify the highest power of each prime factor present in any of the numbers:
- 2^3, 3^1, 5^2
3. Multiply these prime factors with their highest power to find the LCM:
- LCM = 2^3 * 3^1 * 5^2 = 8 * 3 * 25 = 600
Finding the smallest number:
1. Since we need to find the smallest number that leaves a remainder of 7 when divided by 25, 40, and 60, we can add the remainder (7) to the LCM (600) to get the desired number:
- Smallest number = LCM + remainder = 600 + 7 = 607
Therefore, the smallest number that leaves a remainder of 7 when divided by 25, 40, and 60 is 607.
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Find the smallest number which when divided by 25, 40 and 60 leaves remainder 7 in each case?a)607 b)608c)609 d)610Correct answer is option 'A'. Can you explain this answer?
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Find the smallest number which when divided by 25, 40 and 60 leaves remainder 7 in each case?a)607 b)608c)609 d)610Correct 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 Find the smallest number which when divided by 25, 40 and 60 leaves remainder 7 in each case?a)607 b)608c)609 d)610Correct 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 Find the smallest number which when divided by 25, 40 and 60 leaves remainder 7 in each case?a)607 b)608c)609 d)610Correct answer is option 'A'. Can you explain this answer?.
Find the smallest number which when divided by 25, 40 and 60 leaves remainder 7 in each case?a)607 b)608c)609 d)610Correct 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 Find the smallest number which when divided by 25, 40 and 60 leaves remainder 7 in each case?a)607 b)608c)609 d)610Correct 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 Find the smallest number which when divided by 25, 40 and 60 leaves remainder 7 in each case?a)607 b)608c)609 d)610Correct answer is option 'A'. Can you explain this answer?.
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