Home
Class 14
MATHS
The unit digit of 2^(3^4) xx 3^(4^5) xx ...

The unit digit of `2^(3^4) xx 3^(4^5) xx 4^(5^6) xx 5^(6^7) xx 6^(7^8) xx 7^(8^9)` is :

A

0

B

5

C

can't be determined

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • FUNDAMENTALS

    ARIHANT SSC|Exercise FINAL ROUND|116 Videos

  • FUNDAMENTALS

    ARIHANT SSC|Exercise TEST OF YOU - LEARNING - 1|40 Videos

  • FUNDAMENTALS

    ARIHANT SSC|Exercise LEVEL 1|140 Videos

  • FUNCTIONS AND GRAPH

    ARIHANT SSC|Exercise Final Round|40 Videos

  • GEOMETRY

    ARIHANT SSC|Exercise EXERCISE(LEVEL 2)|52 Videos

Similar Questions

Explore conceptually related problems

Find the unit digit of 3^6 xx 4^7 xx 6^3 xx 7^4 xx 8^2 xx 9^5 .

The number of zeros at the end of the product of : 2^3 xx 3^4 xx 4^5 xx 5^6 + 3^5 xx 5^7 xx 7^9 xx 8^10 + 4^5 xx 5^6 xx 6^7 xx 7^8 - 10^2 xx 15^3 xx 20^4 is :

The unit digit of expression (1 xx 2 xx 3 xx 4 xx 5 xx 6 xx 7 xx 8 xx 9 xx 10)/(100) .

Write the numeral whose expanded form is given below: ( i ) 6 xx 10^(4)+3 xx 10^(3)+0 xx 10^(2)+7 xx 10^(1)+8 xx 10^(0) ( ii ) 9 xx 10^(6)+7 xx 10^(5)+0 xx 10^(4)+3 xx 10^(3)+2 xx 10^(2)+9 xx 10^(1)+6 xx 10^(0) ( iii ) 8 xx 10^(5)+6 xx 10^(4)+4 xx 10^(3)+2 xx 10^(2)+9 xx 10^(1)+6 xx 10^(0)

Calculate the following a. (6.7 xx 10^(5)) xx (4.6 xx 10^(4)) b. (7.6 xx 10^(7)) xx (3.8 xx 10^(-4)) c. (6.8 xx 10^(-3)) xx (5.2 xx 10^(-4)) d. (6.7 xx 10^(5)) / (4.6 xx 10^(4)) e. (7.6 xx 10^(7)) / (3.8 xx 10^(-4)) f. (6.8 xx 10^(-3)) / (3.8 xx 10^(-4)) g. 7.65 xx 10^(2) + 2.72 xx 10^(3) h. 7.87 xx 10^(-4) - 2.61 xx 10^(-5)

Find the products : (i) (-2) xx 3 xx (-4) " " (ii) 2 xx (-5) xx (-6) " " (iii) (-8) xx 3 xx 5 (iv) 8 xx 7 xx (-10) " " (v) (-3) xx (-7) xx (-6)

ARIHANT SSC-FUNDAMENTALS -LEVEL 2
  1. If p/q and r/s are two rational numbers then the relation |p/q| < |r...

    Text Solution

    |

  2. If u^v + v^w + w^x = 0 For every negative integer u, v, w, x the value...

    Text Solution

    |

  3. The unit digit of 2^(3^4) xx 3^(4^5) xx 4^(5^6) xx 5^(6^7) xx 6^(7^8) ...

    Text Solution

    |

  4. If (a-7)(b-10)(c-12) = 1000, the least possible value of (a+b+c) equal...

    Text Solution

    |

  5. If the number 23^(32) - 9 is divided by 16, then the remainder is :

    Text Solution

    |

  6. If (x - 5) (y + 6)(z -8)= 1331, then the minimum value x + y + z is :

    Text Solution

    |

  7. If x + y + z =21, then the maximum value of (x - 6) (y + 7)(z - 4) is...

    Text Solution

    |

  8. The remainder 'R' when 3^(37)+ 4^(37) is divided by 7 is :

    Text Solution

    |

  9. 7^(74) - 4^(74) is divisible by :

    Text Solution

    |

  10. The factorial of a number n is exactly divisible by (2^(11) xx 11^2) ...

    Text Solution

    |

  11. The number of zeros at the end of the product of : 2^3 xx 3^4 xx 4^5...

    Text Solution

    |

  12. A nine digit number abcdefght is such that a is divisible by 1, ab is...

    Text Solution

    |

  13. If Minimum (x,y,z) = Minimum of (xy, yz, zx) Maximum (x,y,z) = Maxi...

    Text Solution

    |

  14. If Minimum (x,y,z) = Minimum of (xy, yz, zx) Maximum (x,y,z) = Maxi...

    Text Solution

    |

  15. If Minimum (x,y,z) = Minimum of (xy, yz, zx) Maximum (x,y,z) = Maxi...

    Text Solution

    |

  16. When (55)(10) represented in base 25 then the expression is

    Text Solution

    |

  17. The perimeter of a triangle is 54m and the sides are in the ratio of 5...

    Text Solution

    |

  18. A typist while typing the numbers from 600 to 799 mistakenly he typed...

    Text Solution

    |

  19. If p and q are two distinct inegers such that p^2 - pq = 0 then we can...

    Text Solution

    |

  20. In a survey it was found that YTC sells the cigarettes of Rs. 15990 pe...

    Text Solution

    |