Home
Class 7
MATHS
Consider the following statements: A. ...

Consider the following statements:
A. The product of an integer and a rational number can never be a natural number.
B. The quotient of division of an integer by a rational number can never be an integer.
Which of the statements given above is /are correct?

A

Both Statement-I and Statement-II are true.

B

Both Statement-I and Statement-II are false.

C

Statement-I is true but Statement-II is false.

D

Statement-I is false but Statement-II is true.

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • RATIONAL NUMBERS

    MTG IIT JEE FOUNDATION|Exercise EXERCISE (SUBJECTIVE PROBLEMS (INTEGER/NUMERICAL VALUE TYPE))|10 Videos

  • PREP TEST 2

    MTG IIT JEE FOUNDATION|Exercise SECTION-B|30 Videos

  • SIMPLE EQUATIONS

    MTG IIT JEE FOUNDATION|Exercise Olympiad /Hots Corner |18 Videos

Similar Questions

Explore conceptually related problems

Every integer is a rational number.

Every integer is a rational number but a rational number need not be an integer

Every integer is a rational number but a rational number need not be an integer

Consider the following statements : 1. Every integer is a rational number. 2. Every rational number is a real number. Which of the above statements is/are correct ?

Consider the following statements : 1. Every natural number is a real number. 2. Every real number is a rational number. 3. Every integer is a real number. 4. Every rational number is a real number. Which of the above statements are correct?

Consider the following statements: The number 23 is A. a prime number B. a real number C.an irrational number D. a rational number of these statements

3.27is (a) an integer (b) a rational number (c) a natural number (d) an irrational number

Consider the following statements : 1. There is a finite a number of rational numbers between any two rational numbers. 2. There is an infinite number of rational numbers between any two rational numbers. 3. There is a finite number of irrational numbers between any two rational numbers. Which of the above statements is/are correct?

Consider the following statements: I. The product of two non-zero matrices can never be identity matrix. II. The product of two non-zero matrices can never be zero matrix. Which of the above statements is/are correct ?

Consider the following statements : 1. The product of two non-zero matrices can never be identity matrix. 2. The product of two non-zero matrices can never be zero matrix. Which of the above statements is/are correct ?

MTG IIT JEE FOUNDATION-RATIONAL NUMBERS -OLYMPIAD/HOTS CORNER
  1. Study the statements carefully. (i) Every integer is a rational numb...

    Text Solution

    |

  2. A rational number -2/3.

    Text Solution

    |

  3. Represent the rational number (9)/(7) div (24)/(14) on a number line.

    Text Solution

    |

  4. Which of the following statements is incorrect ?

    Text Solution

    |

  5. Which of the following options is correct ?

    Text Solution

    |

  6. Consider the following statements: A. The product of an integer and ...

    Text Solution

    |

  7. Which of the following rational numbers satisfies the given property ?...

    Text Solution

    |

  8. Which of the following options shows the numbers arranged in ascending...

    Text Solution

    |

  9. Simplify : (( - 18 (1)/(3) xx 2 (8)/(11)) - (4 (5)/(7) xx 2 (1)/(3)))/...

    Text Solution

    |

  10. Which of the following options represents the value of P shown on the ...

    Text Solution

    |

  11. State 'T' for true of 'F' for false and select the correct option. (...

    Text Solution

    |

  12. Represent the solution of the equation on a number line: p - ( 2p +5) ...

    Text Solution

    |

  13. What rational number should be added to (( - 3)/(7)) to get the greate...

    Text Solution

    |

  14. One rational number between 1/5 and 1/4 is

    Text Solution

    |

  15. Which number is the additive inverse of the reciprocal of - (5)/(8) ?

    Text Solution

    |

  16. Simplest form of (1)/( 3 -(1)/(2)) is

    Text Solution

    |

  17. The descending order of (-5)/(7), (-7)/(4), (-3)/(8) is

    Text Solution

    |

  18. If p = (11)/(3), then p lies between on the number line.

    Text Solution

    |

  19. A rational number between -4 and -3 is

    Text Solution

    |

  20. The reciprocal of 2 (1)/(7) + ((-3)/( 14)) + ((-1)/( 28)) + 1 (1)/(4) ...

    Text Solution

    |