Home
Class 6
MATHS
Study the given statements carefully. St...

Study the given statements carefully. State T for true and 'F' for false and select the correct option.
(i) If a number is a factor of each of the given two numbers, then it must be factor of their a difference.
(ii) If a number is divisible by another number, then it must be divisible by each of the factors of that number.
(iii) If a number is divisible by another number, then it is also divisible by all the multiples of that number.
(iv)No prime number other than 2 is even but every odd number is necessarily a prime number.

A

T F T F

B

T T F F

C

F T F T

D

F F F F

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • PLAYING WITH NUMBERS

    MTG IIT JEE FOUNDATION|Exercise EXERCISE (SUBJECTIVE PROBLEMS (INTEGER NUMERICAL VALUE TYPE))|9 Videos

  • MENSURATION

    MTG IIT JEE FOUNDATION|Exercise Olympiad/HOTS Corner|20 Videos

  • PRACTICAL GEOMETRY

    MTG IIT JEE FOUNDATION|Exercise EXERCISE (SUBJECTIVE PROBLEMS) (LONG ANSWER TYPE )|5 Videos

Similar Questions

Explore conceptually related problems

Property 4 If a number is a factor of each of the two given numbers then it is factor of their difference.

Property 3 If number is a factor of each of the two given numbers then it is a factor of their sum.

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

Property 1 If a number is divisible by another number then it is divisible by each of the factors of that number.If abc are three natural numbers such that a is divisible by b and b is divisible by c then a is divisible by c also.

State whether the statement given is true (T) or false (F): If a number a is divisible by b, then it must be divisible by each factor of b.

A number is a _____ of each of its factor.

Property 2 If a number is divisible by each of two or more co-prime numbers then it is divisible by their products.

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

state whether the statement are true (T) or false (F) If a number is divisible by 2 and 4, then it will be divisible by 8.

MTG IIT JEE FOUNDATION-PLAYING WITH NUMBERS-OLYMPIAD/HOTS CORNER
  1. Find the greatest number from the options that will divide 1025, 1299 ...

    Text Solution

    |

  2. Consider the following statements : L. Every prime number is odd. II. ...

    Text Solution

    |

  3. Number of primes between 16 to 80 and 90 to 100 is

    Text Solution

    |

  4. Deepika has more than 30 stickers but less than 40 stickers. She can p...

    Text Solution

    |

  5. Two ropes 16 m and 20 m long are to be cut into small pieces of equal ...

    Text Solution

    |

  6. Select the incorrect statement.

    Text Solution

    |

  7. Study the given statements carefully and select the correct option. ...

    Text Solution

    |

  8. If the product of two numbers is 1728 and their HCF is 12, then their ...

    Text Solution

    |

  9. Which of the following numbers is completely divisible by 9?

    Text Solution

    |

  10. In a colony of 100 blocks of flats numbering 1 to 100, a school van st...

    Text Solution

    |

  11. A number is always divisible by 180, if

    Text Solution

    |

  12. Study the given statements carefully. State T for true and 'F' for fal...

    Text Solution

    |

  13. If the number 517-324 is exactly divisible by 3, then the smallest who...

    Text Solution

    |

  14. The HCF of an even number and an odd number is 1 (b) 2 (c) 0 (d)...

    Text Solution

    |

  15. The greatest number that exactly divides 105, 1001 and 2436 is (a) ...

    Text Solution

    |

  16. Three bells ring at intervals of 30, 45 and 60 minutes respectively. I...

    Text Solution

    |

  17. Study the statements carefully and select the correct option.. Stat...

    Text Solution

    |

  18. Find the least number which on adding 9 to it becomes exactly divisibl...

    Text Solution

    |