Home
Class 10
MATHS
The number 3^(13)-3^(10) is divisible by...

The number `3^(13)-3^(10)` is divisible by

A

2 and 3 only

B

3 and 10 only

C

2, 3 and 10

D

2, 3 and 13

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • REAL NUMBERS

    MTG IIT JEE FOUNDATION|Exercise Exercise (Multiple Choice Questions) (LEVEL-2)|15 Videos
  • REAL NUMBERS

    MTG IIT JEE FOUNDATION|Exercise Exercise (Multiple Choice Questions) (Match the following )|3 Videos
  • REAL NUMBERS

    MTG IIT JEE FOUNDATION|Exercise NCERT Section (Exercise 1.4)|14 Videos
  • QUADRATIC EQUATIONS

    MTG IIT JEE FOUNDATION|Exercise OLYMPAID/HOTS CORNER|15 Videos
  • SOME APPLICATIONS OF TRIGONOMETRY

    MTG IIT JEE FOUNDATION|Exercise OLYMPIAD /HOTS CORNER |20 Videos

Similar Questions

Explore conceptually related problems

If the number 413283P759387 is divisible by 13. Then what is the value of P ?

Prove by induction that if n is a positive integer not divisible by 3. then 3^(2n)+3^(n)+1 is divisible by 13.

The number of 3-digit numbers divisible by 7 is

If the number x3208 is divisible by 3, then the value of x is

A 3 -digit number 4p3 is added to 984 to get a 4 -digit number 13q7. If 13q7 is divisible by 11, then (p+q)=?

If the sum of the digits of a number is divisible by 3, then the number itself is divisible by 9.

When a 3 digit number 984 is added to another 3 digit number 4 p3, we get a four digit number 13q7, which is divisible by 11. The value of p + q is :

A 3 -digit number 4a3 is added to another 3- digit number 984 to give the four-digit number 13b7, which is divisible by 11. Then (a+b) is (a) 10 (b) 11 (c) 12 (d) 15

MTG IIT JEE FOUNDATION-REAL NUMBERS-Exercise (Multiple Choice Questions) (LEVEL-1)
  1. Find the least number which when divided by 15, leaves a remainder of ...

    Text Solution

    |

  2. If (-1)^(n)+(-1)^(4n)=0 then n is

    Text Solution

    |

  3. The number 3^(13)-3^(10) is divisible by

    Text Solution

    |

  4. A number lies between 300 and 400. If the number is added to the numbe...

    Text Solution

    |

  5. The H.C.F. of 280 and 674 is

    Text Solution

    |

  6. Find the value of x and state which of the given statement is/are requ...

    Text Solution

    |

  7. If H.C.F. (a, b) = 12 and axxb =1800, then L.C.M. (a,b)=

    Text Solution

    |

  8. Which of the following rational numbers have non-terminating repeating...

    Text Solution

    |

  9. A rational number p/q has a terminating decimal expansion if prime fac...

    Text Solution

    |

  10. 2.bar(27) is

    Text Solution

    |

  11. If n is a natural number, then 9^(2n)-4^(2n) is always divisible by 5 ...

    Text Solution

    |

  12. If n is any natural number, then 9^(n)-5^(n) ends with

    Text Solution

    |

  13. Which of the following rational numbers have non-terminating repeating...

    Text Solution

    |

  14. If p and q are primes, then H.C.F. (p, q) will be

    Text Solution

    |

  15. If H.C.F. (306, 1314) = 18, then L.C.M. (306,1314) is

    Text Solution

    |

  16. Any positive integer cannot be of the form (q in N)

    Text Solution

    |

  17. Which of the following is not a prime factor of 3825?

    Text Solution

    |

  18. If p is prime, then H.C.F. and L.C.M. of p and p+1 would be

    Text Solution

    |

  19. After how many places, the decimal form of (125)/(2^(4).5^(3)) will te...

    Text Solution

    |

  20. n^(2)-1 is divisible by 8, if n is

    Text Solution

    |