Class 6 Exam > Class 6 Notes > RD Sharma Solutions for Class 6 Mathematics > RD Sharma Solutions -Ex-2.2 Playing With Numbers, Class 6, Maths
Ex-2.2 Playing With Numbers, Class 6, Maths RD Sharma Solutions | RD Sharma Solutions for Class 6 Mathematics PDF Download
Q. 1.) Find the common factors of:
Answer: (i) 15 and 25
15 = 1 x 15
15=3 x 5
i.e., the factors of 15 are 1, 3, 5 and 15.
Again, 25 = 1 x 25
25=5 x 5 i.e., the factors of 25 are 1, 5 and 25.
Therefore, the common factors of the two numbers are 1 and 5.
(ii) 35 and 50
35 = 1 x 35
35=5 x 7 i.e., the factors of 35 are 1, 5, 7 and 35.
Again, 50 = 1 x 50
50 = 2 x 25
50 = 5 x 10
i.e., the factors of 50 are 1, 2, 5, 10, 25 and 50.
Therefore, the common factors of the two numbers are 1 and 5.
(iii) 20 and 28
20 = 1 x 20
20 = 2 x 10
20=4 x 5
i.e., the factors of 20 are 1, 2 , 4, 5, 10 and 20.
Again, 28 = 1 x 28
28 = 2 x 14
28=7 x 4
i.e., the factors of 28 are 1, 2, 4, 7, 14 and 28.
Therefore, the common factors of the two numbers are 1, 2 and 4.
Q. 2.) Find the common factors of:
Answer: (i) 5, 15 and 25
Factors of 5 are 1 and 5
Factors of 15 are 1, 3, 5 and 15
Factors of 25 are 1, 5 and 25
Therefore, the common factors of 5, 15, and 25 are 1 and 5.
(ii) 2, 6 and 8
Factors of 2 are 1 and 2
Factors of 6 are 1, 2, 3 and 6
Factors of 8 are 1, 2, 4 and 8
Therefore, the common factors of 2, 6 and 8 are 1 and 2.
Q. 3.) Find first three common multiples of 6 and 8
Answer: Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84...
Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96...
Therefore, the first three common multiples of 6 and 8 are 24, 48 and 72.
Q. 4.) Find first two common multiples of 12 and 18.
Answer: Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132...
Multiples of 18: 18, 36, 54, 72, 90, 108, 126, 144, 162, 180, 198...
Therefore, the first two common multiples of 12 and 18 are 36 and 72.
Q. 5.) A number is divisible by both 7 and 16. By which other number will that number be always divisible?
Answer: Since the number is divisible by 7 and 16, they are the factors of that number.
So, the number will be divisible by the common factor of 7 and 16.
The factors of 7 are 1 and 7.
The factors of 16 are 1, 2, 4, 8, and 16.
Therefore, the common factor of 7 and 16 is 1 and the number is divisible by 1.
Q. 6.) A number is divisible by 24. By what other numbers will that number be divisible?
Answer: Since the number is divisible by 24, it will be divisible by all the factors of 24.
The factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24.
Hence, the number is also divisible by 1, 2, 3, 4, 6, 8 and 12.
The document Ex-2.2 Playing With Numbers, Class 6, Maths RD Sharma Solutions | RD Sharma Solutions for Class 6 Mathematics is a part of the Class 6 Course RD Sharma Solutions for Class 6 Mathematics.
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FAQs on Ex-2.2 Playing With Numbers, Class 6, Maths RD Sharma Solutions - RD Sharma Solutions for Class 6 Mathematics
| 1. What are RD Sharma Solutions? |  |
| 2. What is the significance of Playing With Numbers in Class 6 Maths? | |
Ans. The chapter "Playing With Numbers" in Class 6 Maths introduces students to various interesting concepts related to numbers. It helps students understand prime numbers, factors, multiples, and several other number-related concepts. This chapter lays the foundation for more advanced topics in mathematics and improves students' problem-solving skills.
| 3. What is the difficulty level of the Class 6 Maths exam? | |
Ans. The difficulty level of the Class 6 Maths exam can vary depending on the school and the specific curriculum followed. However, in general, the Class 6 Maths exam is designed to assess students' understanding of basic mathematical concepts and their ability to apply them to solve problems. The questions are usually of moderate difficulty, testing the students' knowledge, reasoning, and analytical skills.
| 4. How can RD Sharma Solutions help in preparing for the Class 6 Maths exam? | |
Ans. RD Sharma Solutions provide detailed explanations and solutions to the exercises and problems given in the textbook. By studying these solutions, students can understand the concepts better and learn the correct approach to solve mathematical problems. Regular practice with RD Sharma Solutions can enhance students' problem-solving skills and boost their confidence in tackling the Class 6 Maths exam.
| 5. Are RD Sharma Solutions available online? | |
Ans. Yes, RD Sharma Solutions are available online. There are several websites and online platforms that provide free or paid access to RD Sharma Solutions for Class 6 Maths. Students can access these solutions in various formats, including PDFs, videos, and interactive tutorials, making it convenient for them to study and prepare for the exam at their own pace.
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