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The sum of three consecutive odd numbers...

The sum of three consecutive odd numbers is always divisible by

A

3

B

9

C

15

D

21

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The correct Answer is:
A
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Explore conceptually related problems

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.

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.

Sum of two consecutive odd numbers is always divisible by 4.

The sum of the 3 consecutive even numbers is always divisible by :

The product of three consecutive numbers is always divisible by 6.Verify this statement with the help of some examples.

The sum of 3 consecutive even numbers is always divisible by :

KIRAN PUBLICATION-NUMBER SYSTEM-TYPE-III
  1. The sum of three consecutive numbers is 87. The middle number is

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  2. What is the sum of two consecutive even numbers, the difference of who...

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  3. The sum of all the natural numbers from 51 to 100 is

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  4. The sum of all the 2-digit numbers is :

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  5. The sum of all the 3-digit numbers, each of which on division by 5 lea...

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  6. Two positive whole numbers are such that the sum of the first number a...

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  7. Out of six consecutive natural numbers, if the sum of first three is 2...

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  8. Which one of the following is a factor of the sum of first twenty-five...

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  9. The sum of three consecutive natural numbers divisible by 3 is 45. The...

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  10. If the sum of five consecutive integers is S, then the largest of thos...

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  11. The sum of the squares of 3 consecutive positive numbers is 365. The s...

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  12. Find three consecutive numbers such that twice the first, three times ...

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  13. The sum of all prime numbers between 58 and 68 is

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  14. The sum of three consecutive odd numbers is always divisible by

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  15. What is the sum of first 15 odd natural numbers?

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  16. What is the sum of all natural numbers between 1 and 100 which are mul...

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  17. Which of the following statement(s) is/are TRUE? I. The total number...

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  18. The sum of 3 consecutive even numbers is always divisible by :

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  19. The product of two even consecutive numbers is 168. Find the sum of th...

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  20. The sum of four consecutive odd numbers is 328. Find the largest numbe...

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