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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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Which of the following statements are true? If a number is divisible by 9, it must be divisible by 3.

Which of the following statements are true? If a number 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 id divisible by 8,it must be divisible by 4. A number is divisible by 18, if it is divisible by both 3 and 6. If a number divisible by both 9 and 10, it must be divisible by 90.

Which of the following statements are true? A number is divisible by 18, if it is divisible by both 3 and 6.

If a number is divisible both by 2 and 3, then it is divisible by 12.

If a number is divisible by 2 and 3, then it is also divisible by 6.

A number is divisible by 6 if it is divisible by

If a number is divisible by both 5 and 7, then it must necessarily be divisible by____

Write (T) for true and (F) for false against each of the following statements : (i) If a number is divisible by 4. it must be divisible by 8 . (ii) If a number is divisible by 8 . it must be divisible by 4 . (iii) If a number divides the sum of two number exactly. it must exactly divide the num .bers separately. (iv) If a number is divisible by both 9 and 10 . it must be divisible by 90. (v) A number is divisible by 18 if it is divisible by both 3 and 6 . (vi) If a number is divisible by 3 and 7 . it must be divisible by 21. (vii) The sum of two consecutive odd number is always divisible by 4 . (viii) If a number divides two number exactly. it must divide their sum exactly.

Which of the following statements are true? (a) If a number is divisible by 3, it must be divisible by 9. (b) If a number is divisible by 9, it must be divisible by 3. (c) A number is divisible by 18, if it is divisible by both 3 and 6. (d) If a number is divisible by 9 and 10 both, then it must be divisible by 90. (e) If two numbers are co-primes, at least one of them must be prime. (f) All numbers which are divisible by 4 must also be divisible by 8. g) All numbers which are divisible by 8 must also be divisible by 4. (h) If a number exactly divides two numbers separately, it must exactly divide their sum. (i) If a number exactly divides the sum of two numbers, it must exactly divide the two numbers separately.

MTG IIT JEE FOUNDATION-PLAYING WITH NUMBERS-NCERT SECTION (EXERCISE 3.5)
  1. Which of the following statements are true? If a number is divisib...

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  2. Which of the following statements are true? A number is divisible ...

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  3. Which of the following statements are true? If a number is divisible b...

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  4. Which of the following statements are true? (a) If a number is divi...

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  5. Which of the following statements are true? (a) If a number is divi...

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  6. Which of the following statements are true? (a) If a number is divi...

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  7. Which of the following statements are true? (a) If a number is divi...

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  8. Which of the following statements are true? (a) If a number is divi...

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  9. Here are two different factor trees for 60. Write the missing numbers.

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  10. Here are two different factor trees for 60. Write the missing numbe...

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  11. Which factors are not included in the prime factorisation of a comp...

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  12. Write the greatest 4-digit number and express it in terms of its pr...

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  13. Write the smallest 5-digit number and express it in the form of its...

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  14. Find all the prime factors of 1729 and arrange them in ascending or...

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  15. The product of three consecutive numbers is always divisible by 6. ...

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  16. The sum of two consecutive odd numbers is divisible by 4. Verify thi...

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  17. In which of the following expressions, prime factorisation has been...

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  18. In which of the following expressions, prime factorisation has been...

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  19. In which of the following expressions, prime factorisation has been...

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  20. In which of the following expressions, prime factorisation has been...

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