Home
Class 10
MATHS
If n is a natural number, then 9^(2n)-4^...

If `n` is a natural number, then `9^(2n)-4^(2n)` is always divisible by (a) 5 (b) 13 (c) both 5 and 13 (d) none of these

Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    RD SHARMA ENGLISH|Exercise All Questions|390 Videos

  • SOME APPLICATIONS OF TRIGONOMETRY

    RD SHARMA ENGLISH|Exercise All Questions|154 Videos

Similar Questions

Explore conceptually related problems

5^(n)-1 is always divisible by (n in N)

For all natural number of n, 2^(2n).3^(2n)-1-35n is divisible by

Prove that for any natural numbers n, 7^(n)-2^(n) is divisible by 5.

If n be any natural number then by which largest number (n^3-n) is always divisible? 3 (b) 6 (c) 12 (d) 18

If n is any natural number, then 6^n-5^n always ends with ............................. (a) 1 (b) 3 (c) 5 (d) 7

The product of n consecutive natural numbers is always divisible by

For all n inN,3*5^(2n+1)+2^(3n+1) is divisible by (A) 19 (B) 17 (C) 23 (D) 25

10^n+3(4^(n+2))+5 is divisible by (n in N)

The function f: NvecN(N is the set of natural numbers) defined by f(n)=2n+3i s (a) surjective only (b) injective only (c) bijective (d) none of these

If the mean of first n natural numbers is (5n)/9 , then n= (a) 5 (b) 4 (c) 9 (d) 10

RD SHARMA ENGLISH-REAL NUMBERS-All Questions
  1. Use Euclid’s division algorithm to find the HCF of 4052 and 12576.

    Text Solution

    |

  2. Use Euclid’s division algorithm to find the HCF of 210 and 55.

    Text Solution

    |

  3. If n is a natural number, then 9^(2n)-4^(2n) is always divisible by (a...

    Text Solution

    |

  4. What can you say about the prime factorisations of the denominators of...

    Text Solution

    |

  5. If p1a n dp2 are two odd prime numbers such that p1> p2, then p1 2-p2 ...

    Text Solution

    |

  6. There is a circular path around a sports field. Priya takes 18 minutes...

    Text Solution

    |

  7. A rectangular courtyard is 18m 72cm long and 13m 20cm broad. It is to ...

    Text Solution

    |

  8. If the prime factorization of a natural number n is 2^3*3^2*5^2*6, wri...

    Text Solution

    |

  9. A circular field has a circumference of 360km. Three cyclists start ...

    Text Solution

    |

  10. In a morning walk three persons step off together, their steps measure...

    Text Solution

    |

  11. Prove that sqrt(2)+sqrt(5) is irrational.

    Text Solution

    |

  12. Show that there is no positive integer n for which sqrt(n-1)+sqrt(n+1...

    Text Solution

    |

  13. A merchant has 120 litres of oil of one kind, 180 litres of another ...

    Text Solution

    |

  14. Two brands of chocolates are available in packs of 24 and 15 respec...

    Text Solution

    |

  15. What is the largest number that divides 626, 3127 and 15628 and lea...

    Text Solution

    |

  16. Find the greatest number that will divide 445, 572 and 699 leaving ...

    Text Solution

    |

  17. Two tankers contain 850 litres and 680 litres of petrol respectively. ...

    Text Solution

    |

  18. Two sets of English and social science books containing 336 and 96 res...

    Text Solution

    |

  19. Find the HCF of 81 and 237 and express it as a linear combination of 8...

    Text Solution

    |

  20. Find the largest number that will divide 398 , 436 and 542 leaving rem...

    Text Solution

    |