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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.

RD SHARMA-PLAYING WITH NUMBERS-All Questions
  1. In each of the following numbers, replace * by the smallest number ...

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  2. Given an example of a number which is divisible by 2 but not by 4  ...

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

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  4. Find the H.C.F. of 144 and 192 by prime factorization method.

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  5. Find the H.C.F. of 1260 and 2376 by prime factorization method.

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  6. Find the HCF and LCM of 144, 180 and 192 by prime factorisation method...

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  7. Find the H.C.F. of the following numbers using prime factorization m...

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  8. Find the H.C.F. of the following numbers using prime factorization m...

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  9. Find the H.C.F. of the following numbers using prime factorization m...

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  10. What is the HCF of two consecutive (a)  numbers?        (b) even nu...

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  11. H.C.F. of co-prime numbers 4 and 15 was found as follows: 4=2\ *\ 2\...

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  12. Using Euclid’s algorithm find the H.C.F. of 513 and 783

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  13. Euclid algorithm to find the H.C.F of 408 and 1032.

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  14. Determine the H.C.F. of 216 and 1176

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  15. Find the H.C.F. of 144, 180 and 192.

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  16. Find the H.C.F. of 624 and 936

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  17. Find the H.C.F. of 513 and 783

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  18. Find the H.C.F. of 624, 936 and 264

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  19. Determine the H.C.F of the following numbers by using Euclid’s algo...

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  20. Show that the following pairs are co-prime: (i) 59, 97 (ii)  875, 1859...

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