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A number is divisible by both 5 and 12. ...

A number is divisible by both 5 and 12. By which other number will that number be always divisible?

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18 is divisible by both 2 and 3. It is also divisible by 23=6. Similarly,a number is divisible by both 4 and 6. Can we say that the number must also divisible by? If not,give an example to justify your answer.

Which of the following statements are true? If a number is divisible by 3, it must be divisible by 9. If a number is divisible by 9, it must be divisible by 3. If a number is divisible by 4, it must be divisible by 8. If a number is divisible by 8, it must be divisible by 4. If a number is divisible by 18, if it is divisible by both 3 and 6. If a number is divisible by both 9 and 10, it must be divisible by 90. If a number exactly divides the sum of two numbers, it must exactly divide the numbers separately. If a number divides three numbers exactly, it must divide their sum exactly. If two numbers are co-prime, at least one of them must be a prime number. The sum of two consecutive odd numbers is always divisible by 4.

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RD SHARMA-PLAYING WITH NUMBERS-All Questions
  1. Find the common factors of 56 and 120.

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  2. Find the common factors of 4, 8 and 12.

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  3. A number is divisible by both 5 and 12. By which other number will ...

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  4. A number is divisible by both 5 and 12. By which other number will ...

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  5. Find the common factors of: (i)15 and 25       (ii)   35 and 50

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  6. Find the common factors of: 5, 15 and 25            (ii)  2, 6 and 8

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  7. Find first three common multiples of 6 and 8.

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  8. Find first two common multiples of 12 and 18.

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  9. A number is divisible by both 5 and 12.  By which other number will th...

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  10. A number is divisible by 24.  By what other numbers will that number b...

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  11. Which of the following numbers are prime numbers: 179          (...

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  12. What are prime numbers? List all primes between 1 and 30.

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  13. Write all prime numbers between: (i)   70 and 90   (ii)  40 and 85

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  14. What is the smallest prime number? Is it an even number?

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  15. What is the smallest odd prime? Is every odd number a prime number?...

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  16. What are composite numbers? Can a composite number be odd? If yes, ...

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  17. What are the twin-primes? Write all pairs of twin prime between 1 and ...

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  18. What are co-primes? Give examples of five pairs of co-primes. Are co...

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  19. Which of the following pairs are always co-primes? (i)two p...

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  20. Express each of the following as a sum of two or more primes: 13   ...

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