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

  • NUMBER SYSTEM

    DISHA PUBLICATION|Exercise Test Yourself|15 Videos

  • NUMBER SYSTEM

    DISHA PUBLICATION|Exercise Standard Level |45 Videos

  • MOCK TEST 2

    DISHA PUBLICATION|Exercise Multiple Choice Questions|20 Videos

  • PERCENTAGES

    DISHA PUBLICATION|Exercise PRACTICE EXERCISE (TEST YOURSELF)|15 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

DISHA PUBLICATION-NUMBER SYSTEM-Expert Level
  1. A number which when divided by 3, 4, 5, 6, & 7 leaves respectively, th...

    Text Solution

    |

  2. What is the remainder when (5555)^(2222)+(2222)^(5555) is divided by 7...

    Text Solution

    |

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

    Text Solution

    |

  4. If a, b, and c are positive integers such that (a-b+c)(b-c+a)(c-a+b)=1...

    Text Solution

    |

  5. Find the maximum value of n such that 570xx60xx30xx90xx100xx50xx700x...

    Text Solution

    |

  6. What will be the value of x for ((100^(17)-1)+(10^(34)+x))/(9), the re...

    Text Solution

    |

  7. In the diagram below, the seven letters correspond to seven unique dig...

    Text Solution

    |

  8. In the diagram below, the seven letters correspond to seven unique dig...

    Text Solution

    |

  9. Number of zeros in the end of (1^1 xx 2^2 xx 3^3 xx 4^4 xx ....... xx ...

    Text Solution

    |

  10. A prime number contains the digit X at unit's place. How many such dig...

    Text Solution

    |

  11. If N is natural number less than 100, then for how many values of N ar...

    Text Solution

    |

  12. What is the remainder when 2(8!)-21(6!) divides 14(7!)+14(13!)?

    Text Solution

    |

  13. For how many natural number values of N,N^(4)+4 will be a prime number...

    Text Solution

    |

  14. N=7777….7777, where the digit 7 repeats itself 429 times. What is the ...

    Text Solution

    |

  15. If xDelta(y+1)=yDelta(x+1), xDeltax=1 and (x-y)Delta(x+y)=(x-y)Del...

    Text Solution

    |

  16. The question given below is followed by two statements, A and B. Mark ...

    Text Solution

    |

  17. What is the remainder obtained when the sum of the squares of any thir...

    Text Solution

    |

  18. The sum of the digits of a four-digit number is 31. What fraction of s...

    Text Solution

    |

  19. A=k^(2)-1andB=(k+1)^(2)-1, where k is a natural number greater than 1....

    Text Solution

    |

  20. A = 28^12, B = 18^8 and C = 21^6. How many natural numbers are there b...

    Text Solution

    |