Guna’s statement is correct. By definition, co-prime numbers have no common factors other than 1. Prime numbers themselves have only two divisors: 1 and the number itself. Since two distinct prime numbers (e.g., 3 and 5 or 7 and 11) do not share any other factors, they are always co-prime. This holdRead more
Guna’s statement is correct. By definition, co-prime numbers have no common factors other than 1. Prime numbers themselves have only two divisors: 1 and the number itself. Since two distinct prime numbers (e.g., 3 and 5 or 7 and 11) do not share any other factors, they are always co-prime. This holds universally, as the lack of common factors between primes ensures their co-primality regardless of the primes chosen.
To find three primes under 30 whose product equals 1955, test combinations: • 5 × 13 = 65 • 65 × 29 = 1955 Thus, the primes are 5, 13, and 29. All are less than 30 and their multiplication verifies the result. Each number is prime, confirmed by divisibility tests, ensuring no factors other than 1 anRead more
To find three primes under 30 whose product equals 1955, test combinations:
• 5 × 13 = 65
• 65 × 29 = 1955
Thus, the primes are 5, 13, and 29. All are less than 30 and their multiplication verifies the result. Each number is prime, confirmed by divisibility tests, ensuring no factors other than 1 and themselves. The solution satisfies the problem’s conditions.
In the Idli Vada game, the phrase is used for numbers that are multiples of both 3 and 5, i.e., the least common multiple (LCM = 15). The multiples are 15, 30, 45, 60, 75, 90, 105, 120, 135, and 150. Counting to the 10th such multiple, we find 15×10 = 150. Therefore, the 10th instance of Idli Vada oRead more
In the Idli Vada game, the phrase is used for numbers that are multiples of both 3 and 5, i.e., the least common multiple (LCM = 15). The multiples are 15, 30, 45, 60, 75, 90, 105, 120, 135, and 150. Counting to the 10th such multiple, we find 15×10 = 150. Therefore, the 10th instance of Idli Vada occurs at 150.
In mathematics, "prime time" highlights the study and importance of prime numbers. A prime number is an integer greater than 1 that has no divisors other than 1 and itself. Primes are the building blocks of natural numbers since all integers can be expressed as a product of primes. For instance, 6 iRead more
In mathematics, “prime time” highlights the study and importance of prime numbers. A prime number is an integer greater than 1 that has no divisors other than 1 and itself. Primes are the building blocks of natural numbers since all integers can be expressed as a product of primes. For instance, 6 is 2×3. Examples of primes are 2 (the only even prime), 3, 5, and 7. Their properties play a fundamental role in number theory.
To identify three primes less than 30 whose product is 1955, test combinations of primes: • Start with 5×13 = 635 • Then 65×29 = 1955 Thus, the primes are 5, 13, and 29. Each number is prime (only divisible by 1 and itself), and their product equals 1955. No other set of three primes under 30 meetsRead more
To identify three primes less than 30 whose product is 1955, test combinations of primes:
• Start with 5×13 = 635
• Then 65×29 = 1955
Thus, the primes are 5, 13, and 29. Each number is prime (only divisible by 1 and itself), and their product equals 1955. No other set of three primes under 30 meets these conditions, confirming these as the solution.
इडली वड़ा गेम में इसे 3 और 5 दोनों के गुणज पर बोला जाता है। 3 और 5 का LCM 15 है। इनके गुणज हैं: 15, 30, 45, 60, 75, 90, 105, 120, 135, और 150। जब 10वां गुणज गिना जाता है, तो वह 15 × 10 = 150 है। इसलिए, इडली वड़ा 10वीं बार 150 पर बोला जाता है। For more NCERT Solutions for Class 6 Math Chapter 5 PrimeRead more
इडली वड़ा गेम में इसे 3 और 5 दोनों के गुणज पर बोला जाता है। 3 और 5 का LCM 15 है। इनके गुणज हैं: 15, 30, 45, 60, 75, 90, 105, 120, 135, और 150। जब 10वां गुणज गिना जाता है, तो वह 15 × 10 = 150 है। इसलिए, इडली वड़ा 10वीं बार 150 पर बोला जाता है।
In the idli-vada game, players say 'idli-vada' for numbers that are multiples of both 3 and 5. These numbers include 15, 30, 45, 60, 75, 90, 105, 120, 135, and 150. Therefore, when counting the 10th such occurrence, the number is 150. This pattern arises from the least common multiple (LCM) of 3 andRead more
In the idli-vada game, players say ‘idli-vada’ for numbers that are multiples of both 3 and 5. These numbers include 15, 30, 45, 60, 75, 90, 105, 120, 135, and 150. Therefore, when counting the 10th such occurrence, the number is 150. This pattern arises from the least common multiple (LCM) of 3 and 5, which is 15, repeating every cycle.
In the game, ‘idli’ is said for multiples of 3, which occur 30 times from 3 to 90. ‘Vada’ is said for multiples of 5, totaling 18 times. Numbers like 15, 30, 45, 60, 75, and 90 overlap both categories, so ‘idli-vada’ is said 6 times for these multiples. Since ‘idli’ and ‘vada’ overlap, the total uniRead more
In the game, ‘idli’ is said for multiples of 3, which occur 30 times from 3 to 90. ‘Vada’ is said for multiples of 5, totaling 18 times. Numbers like 15, 30, 45, 60, 75, and 90 overlap both categories, so ‘idli-vada’ is said 6 times for these multiples. Since ‘idli’ and ‘vada’ overlap, the total unique calls differ depending on whether these overlaps are included in both counts.
When playing till 900, ‘idli’ is called for multiples of 3, occurring 300 times (3 × 300 = 900). ‘Vada’ corresponds to multiples of 5, occurring 180 times (5 × 180 = 900). For ‘idli-vada,’ said for multiples of both 3 and 5 (LCM 15), there are 60 instances (15 × 60 = 900). The overlaps ensure no douRead more
When playing till 900, ‘idli’ is called for multiples of 3, occurring 300 times (3 × 300 = 900). ‘Vada’ corresponds to multiples of 5, occurring 180 times (5 × 180 = 900). For ‘idli-vada,’ said for multiples of both 3 and 5 (LCM 15), there are 60 instances (15 × 60 = 900). The overlaps ensure no double counting, and the counts follow the divisibility rules for these multiples within the range.
To reach both treasures at 14 and 36, the jump size must divide both numbers. The factors of 14 are 1, 2, 7, and 14; the factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36. The common factors are 1 and 2, making these valid jump sizes. Since the GCD is 2, it guarantees the smallest successful jump tRead more
To reach both treasures at 14 and 36, the jump size must divide both numbers. The factors of 14 are 1, 2, 7, and 14; the factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36. The common factors are 1 and 2, making these valid jump sizes. Since the GCD is 2, it guarantees the smallest successful jump that aligns perfectly with both treasures.
Guna says, Any two prime numbers are co-prime. Is he right?
Guna’s statement is correct. By definition, co-prime numbers have no common factors other than 1. Prime numbers themselves have only two divisors: 1 and the number itself. Since two distinct prime numbers (e.g., 3 and 5 or 7 and 11) do not share any other factors, they are always co-prime. This holdRead more
Guna’s statement is correct. By definition, co-prime numbers have no common factors other than 1. Prime numbers themselves have only two divisors: 1 and the number itself. Since two distinct prime numbers (e.g., 3 and 5 or 7 and 11) do not share any other factors, they are always co-prime. This holds universally, as the lack of common factors between primes ensures their co-primality regardless of the primes chosen.
For more NCERT Solutions for Class 6 Math Chapter 5 Prime Time Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-5/
Find three prime numbers, all less than 30, whose product is 1955.
To find three primes under 30 whose product equals 1955, test combinations: • 5 × 13 = 65 • 65 × 29 = 1955 Thus, the primes are 5, 13, and 29. All are less than 30 and their multiplication verifies the result. Each number is prime, confirmed by divisibility tests, ensuring no factors other than 1 anRead more
To find three primes under 30 whose product equals 1955, test combinations:
• 5 × 13 = 65
• 65 × 29 = 1955
Thus, the primes are 5, 13, and 29. All are less than 30 and their multiplication verifies the result. Each number is prime, confirmed by divisibility tests, ensuring no factors other than 1 and themselves. The solution satisfies the problem’s conditions.
For more NCERT Solutions for Class 6 Math Chapter 5 Prime Time Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-5/
At what number is Idli Vada said for the 10 time?
In the Idli Vada game, the phrase is used for numbers that are multiples of both 3 and 5, i.e., the least common multiple (LCM = 15). The multiples are 15, 30, 45, 60, 75, 90, 105, 120, 135, and 150. Counting to the 10th such multiple, we find 15×10 = 150. Therefore, the 10th instance of Idli Vada oRead more
In the Idli Vada game, the phrase is used for numbers that are multiples of both 3 and 5, i.e., the least common multiple (LCM = 15). The multiples are 15, 30, 45, 60, 75, 90, 105, 120, 135, and 150. Counting to the 10th such multiple, we find 15×10 = 150. Therefore, the 10th instance of Idli Vada occurs at 150.
For more NCERT Solutions for Class 6 Math Chapter 5 Prime Time Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-5/
What is prime time in maths?
In mathematics, "prime time" highlights the study and importance of prime numbers. A prime number is an integer greater than 1 that has no divisors other than 1 and itself. Primes are the building blocks of natural numbers since all integers can be expressed as a product of primes. For instance, 6 iRead more
In mathematics, “prime time” highlights the study and importance of prime numbers. A prime number is an integer greater than 1 that has no divisors other than 1 and itself. Primes are the building blocks of natural numbers since all integers can be expressed as a product of primes. For instance, 6 is 2×3. Examples of primes are 2 (the only even prime), 3, 5, and 7. Their properties play a fundamental role in number theory.
For more NCERT Solutions for Class 6 Math Chapter 5 Prime Time Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-5/
What three prime numbers or less than 30 whose product is 1955?
To identify three primes less than 30 whose product is 1955, test combinations of primes: • Start with 5×13 = 635 • Then 65×29 = 1955 Thus, the primes are 5, 13, and 29. Each number is prime (only divisible by 1 and itself), and their product equals 1955. No other set of three primes under 30 meetsRead more
To identify three primes less than 30 whose product is 1955, test combinations of primes:
• Start with 5×13 = 635
• Then 65×29 = 1955
Thus, the primes are 5, 13, and 29. Each number is prime (only divisible by 1 and itself), and their product equals 1955. No other set of three primes under 30 meets these conditions, confirming these as the solution.
For more NCERT Solutions for Class 6 Math Chapter 5 Prime Time Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-5/
इडली वड़ा किस नंबर पर 10 बार बोला जाता है?
इडली वड़ा गेम में इसे 3 और 5 दोनों के गुणज पर बोला जाता है। 3 और 5 का LCM 15 है। इनके गुणज हैं: 15, 30, 45, 60, 75, 90, 105, 120, 135, और 150। जब 10वां गुणज गिना जाता है, तो वह 15 × 10 = 150 है। इसलिए, इडली वड़ा 10वीं बार 150 पर बोला जाता है। For more NCERT Solutions for Class 6 Math Chapter 5 PrimeRead more
इडली वड़ा गेम में इसे 3 और 5 दोनों के गुणज पर बोला जाता है। 3 और 5 का LCM 15 है। इनके गुणज हैं: 15, 30, 45, 60, 75, 90, 105, 120, 135, और 150। जब 10वां गुणज गिना जाता है, तो वह 15 × 10 = 150 है। इसलिए, इडली वड़ा 10वीं बार 150 पर बोला जाता है।
For more NCERT Solutions for Class 6 Math Chapter 5 Prime Time Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-5/
At what number is idli-vada said for the 10th time?
In the idli-vada game, players say 'idli-vada' for numbers that are multiples of both 3 and 5. These numbers include 15, 30, 45, 60, 75, 90, 105, 120, 135, and 150. Therefore, when counting the 10th such occurrence, the number is 150. This pattern arises from the least common multiple (LCM) of 3 andRead more
In the idli-vada game, players say ‘idli-vada’ for numbers that are multiples of both 3 and 5. These numbers include 15, 30, 45, 60, 75, 90, 105, 120, 135, and 150. Therefore, when counting the 10th such occurrence, the number is 150. This pattern arises from the least common multiple (LCM) of 3 and 5, which is 15, repeating every cycle.
For more NCERT Solutions for Class 6 Math Chapter 5 Prime Time Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-5/
How many times would children say idli, vada, and idli-vada in a game played till 90?
In the game, ‘idli’ is said for multiples of 3, which occur 30 times from 3 to 90. ‘Vada’ is said for multiples of 5, totaling 18 times. Numbers like 15, 30, 45, 60, 75, and 90 overlap both categories, so ‘idli-vada’ is said 6 times for these multiples. Since ‘idli’ and ‘vada’ overlap, the total uniRead more
In the game, ‘idli’ is said for multiples of 3, which occur 30 times from 3 to 90. ‘Vada’ is said for multiples of 5, totaling 18 times. Numbers like 15, 30, 45, 60, 75, and 90 overlap both categories, so ‘idli-vada’ is said 6 times for these multiples. Since ‘idli’ and ‘vada’ overlap, the total unique calls differ depending on whether these overlaps are included in both counts.
For more NCERT Solutions for Class 6 Math Chapter 5 Prime Time Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-5/
If the game is played till 900, how many times would children say idli, vada, and idli-vada?
When playing till 900, ‘idli’ is called for multiples of 3, occurring 300 times (3 × 300 = 900). ‘Vada’ corresponds to multiples of 5, occurring 180 times (5 × 180 = 900). For ‘idli-vada,’ said for multiples of both 3 and 5 (LCM 15), there are 60 instances (15 × 60 = 900). The overlaps ensure no douRead more
When playing till 900, ‘idli’ is called for multiples of 3, occurring 300 times (3 × 300 = 900). ‘Vada’ corresponds to multiples of 5, occurring 180 times (5 × 180 = 900). For ‘idli-vada,’ said for multiples of both 3 and 5 (LCM 15), there are 60 instances (15 × 60 = 900). The overlaps ensure no double counting, and the counts follow the divisibility rules for these multiples within the range.
For more NCERT Solutions for Class 6 Math Chapter 5 Prime Time Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-5/
What are the jump sizes that will reach both treasures at 14 and 36?
To reach both treasures at 14 and 36, the jump size must divide both numbers. The factors of 14 are 1, 2, 7, and 14; the factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36. The common factors are 1 and 2, making these valid jump sizes. Since the GCD is 2, it guarantees the smallest successful jump tRead more
To reach both treasures at 14 and 36, the jump size must divide both numbers. The factors of 14 are 1, 2, 7, and 14; the factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36. The common factors are 1 and 2, making these valid jump sizes. Since the GCD is 2, it guarantees the smallest successful jump that aligns perfectly with both treasures.
For more NCERT Solutions for Class 6 Math Chapter 5 Prime Time Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-5/