Home
Class 14
MATHS
The last digit of the expression 4 + 9...

The last digit of the expression
`4 + 9^2 + 4^3 + 9^4 + 4^5 + 9^6 + …..+ 4^(99) + 9^(100)` is:

A

0

B

3

C

5

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MENSURATION

    QUANTUM CAT|Exercise QUESTION BANK|449 Videos

  • PERCENTAGES

    QUANTUM CAT|Exercise QUESTION BANK|271 Videos

Similar Questions

Explore conceptually related problems

The last digit of the expression 4 xx 9^2 xx 4^3 xx 9^4 xx 4^5 xx 9^6 xx …..xx 4^(99) xx 9^(100) is:

The last two digits of the number 19^(9^(4)) is

Find the last digit of the sum 19^(81)+4^(9k),KinN .

Simplify the following expressions : 2/3 " of " 21 4/9 - 9 4/11

Study the following number series to answer these questions. 2 6 7 5 4 3 7 4 8 9 4 3 2 5 4 7 9 8 6 8 7 1 2 5 3 7 6 8 9 3 6 If the order of last 15 numbers is reversed, which number will be eighth to the right of thirteenth number from left? 1) 7 2) 8 3) 4 4) 6 5) None of these

What should come next in the following series? 9 8 7 6 5 4 3 2 1 9 8 7 6 5 4 3 2 9 8 7 6 5 4 3 9 8 7 6 5 4 9 8 7 ?

How many 6's are there in the following number sequence which are immediately preceded by 9 but not immediately followed by 4 ? 5 6 4 3 2 9 6 3 1 6 4 9 6 4 2 1 5 9 6 7 2 1 4 7 4 9 6 4 2 1) 1 2) 2 3) 3 4) 4 5) None of these

QUANTUM CAT-NUMBER SYSTEM-QUESTION BANK
  1. If f(x) = 7/(x^7) + 5/(x^5) + 3/(x^3) + 1 + 3x^3 + 5x^5 + 7x^7. Now, i...

    Text Solution

    |

  2. The last digit of the expression 4 + 9^2 + 4^3 + 9^4 + 4^5 + 9^6 + …...

    Text Solution

    |

  3. The last digit of the expression 4 + 9^2 + 4^3 + 9^4 + 4^5 + 9^6 + …...

    Text Solution

    |

  4. p,q,r are the decimal numbers (e.g. 5.8) and [x] means the greatest in...

    Text Solution

    |

  5. If p,q,r be integers such that p^2 = q^2.r then :

    Text Solution

    |

  6. The sum of n positive integers k1, k2, k3,……..,kn is an even number, t...

    Text Solution

    |

  7. If 1 + 2 + 3 + …+ k = N^2 and N is less than 100 then the value of k c...

    Text Solution

    |

  8. If a and b be two co-prime numbers, then (a+b) and (a-b):

    Text Solution

    |

  9. The G.M. of two positive numbers is 35 and the A.M. of the same number...

    Text Solution

    |

  10. When a number is divided by 1,2,3,4,5, .... ,(n-1), n individually it ...

    Text Solution

    |

  11. Four consecutive even numbers are such that 3 times of the first numbe...

    Text Solution

    |

  12. In the morning batch at Lamamia we have observed that when five-five s...

    Text Solution

    |

  13. When (m/n) = 25(n/m), Then the value of m : n is :

    Text Solution

    |

  14. Which one of the following is the greatest one?

    Text Solution

    |

  15. The product of any two integers is 25, then the minimum possible sum i...

    Text Solution

    |

  16. If 4 le p le 5 and -10 le q le -9, then the least value is given by th...

    Text Solution

    |

  17. The remeainder obtained when 1! + 2! + 3! + … + 77! is divided by 7 i...

    Text Solution

    |

  18. If (a,n) in I^(+) and (a,n) > 1, then the remainder when [(a + 1)^(2n ...

    Text Solution

    |

  19. A typist starts to type the serial numbers of candidates in a list, up...

    Text Solution

    |

  20. If a,b,c,d,e,f are sequentially the terms of an A.P. belong to set {1,...

    Text Solution

    |