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Find the common factors of: b) 35 and 50
The factors of 35 are 1, 5, 7, and 35, while the factors of 50 are 1, 2, 5, 10, 25, and 50. Comparing these, the shared divisors are 1 and 5, making them the common factors. Among these, 5 is the greatest common divisor (GCD), the highest number dividing both 35 and 50 evenly. This shared factor undRead more
The factors of 35 are 1, 5, 7, and 35, while the factors of 50 are 1, 2, 5, 10, 25, and 50. Comparing these, the shared divisors are 1 and 5, making them the common factors. Among these, 5 is the greatest common divisor (GCD), the highest number dividing both 35 and 50 evenly. This shared factor underscores the relationship between these two numbers.
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Find three numbers that are multiples of 25 but not multiples of 50.
To find multiples of 25 that are not multiples of 50, list multiples of 25 (25, 50, 75, 100, 125, etc.) and exclude those divisible by 50 (50, 100, etc.). The remaining numbers include 25, 75, and 125, which satisfy the condition. Each of these is divisible by 25 but not by 50, as their divisibilityRead more
To find multiples of 25 that are not multiples of 50, list multiples of 25 (25, 50, 75, 100, 125, etc.) and exclude those divisible by 50 (50, 100, etc.). The remaining numbers include 25, 75, and 125, which satisfy the condition. Each of these is divisible by 25 but not by 50, as their divisibility excludes even multiples of 50.
For more NCERT Solutions for Class 6 Math Chapter 5 Prime Time Extra Questions and Answer:
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Find two numbers smaller than 10 such that their LCM exceeds 50.
Two numbers under 10 with an LCM exceeding 50 are 7 and 8. Their LCM is calculated using the formula LCM(a, b) = (a × b) ÷ GCD(a, b). Here, 7 and 8 have no common factors besides 1, making their GCD 1. The LCM is thus (7 × 8) ÷ 1 = 56. This exceeds 50, meeting the condition while ensuring the indiviRead more
Two numbers under 10 with an LCM exceeding 50 are 7 and 8. Their LCM is calculated using the formula LCM(a, b) = (a × b) ÷ GCD(a, b). Here, 7 and 8 have no common factors besides 1, making their GCD 1. The LCM is thus (7 × 8) ÷ 1 = 56. This exceeds 50, meeting the condition while ensuring the individual numbers are less than 10.
For more NCERT Solutions for Class 6 Math Chapter 5 Prime Time Extra Questions and Answer:
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Anshu and his friends play the idli-vada game with two numbers smaller than 10. The first time anybody says ‘idli-vada’ is after the number 50. What could these two numbers be?
For ‘idli-vada’ to first occur after 50, the two numbers must have an LCM exceeding 50 but less than 60. Numbers under 10 with this property are 6 and 9, whose LCM is 54. The LCM is calculated as (6 × 9) ÷ 3 = 54, where 3 is their greatest common divisor (GCD). Thus, the first shared multiple afterRead more
For ‘idli-vada’ to first occur after 50, the two numbers must have an LCM exceeding 50 but less than 60. Numbers under 10 with this property are 6 and 9, whose LCM is 54. The LCM is calculated as (6 × 9) ÷ 3 = 54, where 3 is their greatest common divisor (GCD). Thus, the first shared multiple after 50 is 54, fulfilling the game’s condition for ‘idli-vada.’
For more NCERT Solutions for Class 6 Math Chapter 5 Prime Time Extra Questions and Answer:
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What jump sizes will land on both treasures at 28 and 70?
To reach both treasures, the jump size must divide both 28 and 70. The factors of 28 are 1, 2, 4, 7, 14, and 28, and the factors of 70 are 1, 2, 5, 7, 10, 14, 35, and 70. The common factors are 1, 2, 7, and 14. Among these, 14 is the greatest common divisor (GCD), ensuring it is the smallest jump siRead more
To reach both treasures, the jump size must divide both 28 and 70. The factors of 28 are 1, 2, 4, 7, 14, and 28, and the factors of 70 are 1, 2, 5, 7, 10, 14, 35, and 70. The common factors are 1, 2, 7, and 14. Among these, 14 is the greatest common divisor (GCD), ensuring it is the smallest jump size that successfully lands on both numbers.
For more NCERT Solutions for Class 6 Math Chapter 5 Prime Time Extra Questions and Answer:
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