Home
Class 14
MATHS
Let d(n) denote the number of positive d...

Let d(n) denote the number of positive divisors of a positive integer n. Which of the following are correct?
1. d(5) = d(11)
2. d(5).d(11) = d(55)
3.d(5) + d(11) = d(16)
Select the correct answer using the code given below :

A

Only 1

B

Only 2

C

Both 1 and 2

D

Neither 1 nor 2

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • SET & RELATION

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS|65 Videos
  • SEQUENCE AND SERIES

    PUNEET DOGRA|Exercise PREVIOUS YEAR QUESTIONS|88 Videos
  • STATISTICS

    PUNEET DOGRA|Exercise PRE YEAR QUESTIONS |163 Videos

Similar Questions

Explore conceptually related problems

Which of the following is the correct structure of D.D.T.?

Which of the following is the correct structure of D.D.T.?

If m and n are the roots of the equation x^(2) + ax + b = 0, and m^(2) and n^(2) are the roots of the equation x^(2) - cx + d = 0 , then which of the following is/are correct? 1. 2b -a^(2) =c 2. b^(2)=d Select the correct answer using the code given below.

Which of the following numbers are twin primes? 3,5 (b) 5,11 (c) 3,11 (d) 13,17

If (a)/(b) =(b)/(c ) =(c )/(d) , then which of the following is/are correct? 1. (b^(3) +c^(3) +d^(3))/(a^(3)+b^(3)+c^(3))=(d)/(a) 2. (a^(2)+b^(2)+c^(2))/(b^(2)+c^(2)+d^(2))=(a)/(d) Select the correct answer using the code given below.

Show the following numbers on the number line. (a) 0.2 (b) 1.9 (c ) 1.1 (d) 2.5

Show the following numbers on the number line.(a) 0.2 (b) 1.9 (c) 1.1 (d) 2.5

For a positive integer n, define d(n) - the number of positive divisors of n. What is the value of d(d(d(12))) ?

Add the following rational numbers: (-8)/(11)\ a n d(-4)/(11) (ii) 6/(13)\ a n d\ (-9)/(13)

PUNEET DOGRA-SET & RELATION-PREV YEAR QUESTIONS
  1. If E and A are daughters of B and A is married to V, then how is V rel...

    Text Solution

    |

  2. If A={x:x is multiple of 2). B ={x: x is a multiple of 5} and C={x: x ...

    Text Solution

    |

  3. Let d(n) denote the number of positive divisors of a positive integer ...

    Text Solution

    |

  4. If S={x: x^(2)+1=0, x is real }, then S is:

    Text Solution

    |

  5. For the energy levels in atom, which one of the following statement (s...

    Text Solution

    |

  6. Let A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Then the number of subsets of...

    Text Solution

    |

  7. Consider the following in respect of sets A and B: 1. (A-B) cup B =A...

    Text Solution

    |

  8. A set of data is as under: 4, 2, 3, 2, 7, 4, 8, 5, 2, 4, 5, 6, 2, 5,...

    Text Solution

    |

  9. If A={x in R: x^(2)+6x-7 lt 0} and B={ x in R: x^(2)+9x+14 gt 0}, then...

    Text Solution

    |

  10. A coin is tossed three times. Consider the following events: A: No h...

    Text Solution

    |

  11. In a class , 40 student like Maths, 50 students like Physics and 60 st...

    Text Solution

    |

  12. Let A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Then the number of subsets of...

    Text Solution

    |

  13. If A = {x:x is a multiple of 7}, B = {x:x is a multiple of 5} and ...

    Text Solution

    |

  14. IF A=pi//6 and B=pi//3 then which of the following is/are correct? 1...

    Text Solution

    |

  15. Given a+b+c+d=0. Which of the following statements(s) is (are) correct...

    Text Solution

    |

  16. Read the following information carefully to answer the questions that ...

    Text Solution

    |

  17. Read the following information carefully to answer the questions that ...

    Text Solution

    |

  18. Read the following information carefully to answer the questions that ...

    Text Solution

    |

  19. Which one of the following is a null set?

    Text Solution

    |

  20. If A is a subset of B, then which one of the following is correct?

    Text Solution

    |