Home
Class 12
MATHS
For integers m and n, both greater than ...

For integers m and n, both greater than 1, consider the following three statements
P : m divides n, Q : m divides `n^(2)` and R : m is prime, then

A

`Q ^^ R rarr p `

B

`P ^^ Q rarr R`

C

`Q rarr R`

D

`Q rarr P`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B. ARCHITECTURE ENTRANCE EXAMINATION PAPERS|11 Videos

  • MATHEMATICAL REASONING

    MCGROW HILL PUBLICATION|Exercise EXERCISE (LEVEL 2 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))|5 Videos

  • MATHEMATICAL INDUCTION AND BINOMIAL THEOREM

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|20 Videos

  • MATRICES

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B -Architecture Entrance Examination Papers|22 Videos

Similar Questions

Explore conceptually related problems

Study the following information carefully and answer the questions given below- In the following questions, the symbols @, & %, $ and * are used with the following meanings: 'M & N' means 'M is not greater than N'. 'M * N' means 'M is not smaller than N'. 'M % N' means 'M is neither greater than nor equal to N'. 'M $ N' means 'M is neither smaller than nor equal to N'. 'M @ N' means 'M is neither greater than nor smaller than N'. In each of the following questions assuming the given statements to be true, find out which of the three conclusions (a), (b) and (c) given below them is/are definitely true. P % Q , Q % N , N @ G ,G * R, R $ S Then which of the following conclusion follows (a)R $ Q (b) P $ S (c) N % S

Study the following information carefully and answer the questions given below- In the following questions, the symbols @, & %, $ and * are used with the following meanings: 'M & N' means 'M is not greater than N'. 'M * N' means 'M is not smaller than N'. 'M % N' means 'M is neither greater than nor equal to N'. 'M $ N' means 'M is neither smaller than nor equal to N'. 'M @ N' means 'M is neither greater than nor smaller than N'. In each of the following questions assuming the given statements to be true, find out which of the three conclusions (a), (b) and (c) given below them is/are definitely true. P @ Q , Q $ N , N * G , G @ R, R & S Then which of the following conclusion follows (a) Q $ R (b) P * S (c) N @ S

Study the following information carefully and answer the questions given below- In the following questions, the symbols @, & %, $ and * are used with the following meanings: 'M & N' means 'M is not greater than N'. 'M * N' means 'M is not smaller than N'. 'M % N' means 'M is neither greater than nor equal to N'. 'M $ N' means 'M is neither smaller than nor equal to N'. 'M @ N' means 'M is neither greater than nor smaller than N'. In each of the following questions assuming the given statements to be true, find out which of the three conclusions (a), (b) and (c) given below them is/are definitely true. R % T , T @ N, N & P, P $ M Then which of the following conclusion follows (a) T * M (b) R % P (c ) R * M

Study the following information carefully and answer the questions given below- In the following questions, the symbols @, & %, $ and * are used with the following meanings: 'M & N' means 'M is not greater than N'. 'M * N' means 'M is not smaller than N'. 'M % N' means 'M is neither greater than nor equal to N'. 'M $ N' means 'M is neither smaller than nor equal to N'. 'M @ N' means 'M is neither greater than nor smaller than N'. In each of the following questions assuming the given statements to be true, find out which of the three conclusions (a), (b) and (c) given below them is/are definitely true. G % H, H * N, N * P, P % M Then which of the following conclusion follows (a) H @ P (b) G $ M (c) H $ P

Consider the following statements: Assertion (A) : a^(0) = 1, a != 0 Reason (r) : a^(m) div a^n = a^(m - n) , m, n being integers. Of these statements:

MCGROW HILL PUBLICATION-MATHEMATICAL REASONING -QUESTIONS FROM PREVIOUS YEARS AIEEE/ JEE MAIN PAPERS
  1. The statement p rarr ( q rarr p ) is equivalent to

    Text Solution

    |

  2. let pto(~pvvr) is false, then truth values of p,q,r are respectively.

    Text Solution

    |

  3. For integers m and n, both greater than 1, consider the following thre...

    Text Solution

    |

  4. The statement ~(p harr ~q) is

    Text Solution

    |

  5. The contra-positive of the statement "if I am not feel- ing well, then...

    Text Solution

    |

  6. ~ ( p vv q) vv ( ~ p ^^ q) is logically equivalent to

    Text Solution

    |

  7. Let p, q and r denote three arbitrary statements. The logically equiva...

    Text Solution

    |

  8. The contrapositive of the statement I go toschool if it does not rain'...

    Text Solution

    |

  9. The negation of ~ svv(~ r^^s) is equivalent to : (1) s^^~ r (2) ...

    Text Solution

    |

  10. Contra-positive of the statement "If it is raining then I will not com...

    Text Solution

    |

  11. Consider the following statements P: Suman is brilliant Q: Suman i...

    Text Solution

    |

  12. The Boolean Expression (p ^^ ~q) vv q vv (~p ^^ q)is equivalent to:

    Text Solution

    |

  13. Consider the following statements. p : if 7 is an odd number , then ...

    Text Solution

    |

  14. The contra-positive of the following statement, "If the side of a squa...

    Text Solution

    |

  15. The following statement: ( p rarr q ) rarr [ ( ~ p rarr q ) rarr q ...

    Text Solution

    |

  16. The proposition ~p vv( p ^^ ~ q) is equivalent to

    Text Solution

    |

  17. Contrapositive of the statement ''If two numbers are not equal, then t...

    Text Solution

    |

  18. The Boolean Expression (p ^^ ~q) vv q vv (~p ^^ q)is equivalent to:

    Text Solution

    |

  19. If (p ^^ ~q) ^^ ( p ^^ r) rarr ~ p vee r is false, then the truth va...

    Text Solution

    |

  20. Consider the following two statements : Statement p : The value of...

    Text Solution

    |