Home
Class 14
MATHS
The sum of three consecutive odd numbers...

The sum of three consecutive odd numbers is always divisible by I. 2          II. 3           III. 5          IV. 6 Only I   (b) Only II   (c) Only I and II   (d) Only I and III

Promotional Banner

Topper's Solved these Questions

  • LOGARITHMS

    RS AGGARWAL|Exercise All Questions|105 Videos
  • ODD MAN OUT AND SERIES

    RS AGGARWAL|Exercise All Questions|81 Videos

Similar Questions

Explore conceptually related problems

Which of the following numbers are completely divisible by 7? I. 195195 II. 181181 III. 120120 IV. 891891 (a) Only I and II (b) Only II and III (c) Only I and IV (d) Only II and IV (e) All are divisible

Given n=1+x and x is product of four consecutive integers. Then which of the following is true? I n is an odd integer II. n is prime. III. n is a perfect square. Only I is correct (b) Only III is correct (c) Both I and II are correct (d) Both I and III are correct

Statements:- Some benches are autos. All the boxes are autos. All the pens are benches. Conclusions:- I. Some benches are boxes. II. No pen is autos. III. Some boxes are benches. (A) None of three (B) Only I and II (C ) Only I and III (D) Only II and III

If n=1+x, where x is the product of four consecutive positive integers,then which of the following is/are true? n is odd II.n is prime III.n is a perfect square.(a) I only (b) I and II only (c) I and III only (d) None of these

RS AGGARWAL-NUMBER SYSTEM-All Questions
  1. A number is multiplied by 11 and 11 is added to the product. If the...

    Text Solution

    |

  2. The product of any three consecutive natural numbers is always divis...

    Text Solution

    |

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

    Text Solution

    |

  4. The greatest number by which the product of three consecutive multi...

    Text Solution

    |

  5. If p is a prime number greater than 3, then (p^2-1) is always divisibl...

    Text Solution

    |

  6. The difference between the squares of two consecutive odd integers ...

    Text Solution

    |

  7. A 4-digit number is formed by repeating a 2-digit number such as 25...

    Text Solution

    |

  8. A 6-digit number is formed by repeating a 3-digit number: for examp...

    Text Solution

    |

  9. The sum of the digits of a natural number (10^n-1) is 4707, where n is...

    Text Solution

    |

  10. (x^n-a^n) is divisible by (x-a) for all values of n (b) only for even...

    Text Solution

    |

  11. Which one of the following is the number by which the product of 8 ...

    Text Solution

    |

  12. Consider the following statements: For any positive integer n, the ...

    Text Solution

    |

  13. If n is any positive integer, 3^(4n)-4^(3n) is always divisible by 7 ...

    Text Solution

    |

  14. If the square of an odd natural number is divisible by 8, then the ...

    Text Solution

    |

  15. The largest number that exactly divides each number of the sequence...

    Text Solution

    |

  16. The difference of the squares of two consecutive even integers is d...

    Text Solution

    |

  17. The difference of the squares of two consecutive odd integers is di...

    Text Solution

    |

  18. The smallest 4-digit number exactly divisible by 7 is 1001    (...

    Text Solution

    |

  19. What least number must be added to 1056 to get a number exactly div...

    Text Solution

    |

  20. Which of the following numbers should be added to 8567 to make it e...

    Text Solution

    |