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The unit digit in the expression 36^(2...

The unit digit in the expression
`36^(234)"*"33^(512)"*"39^(180)-54^(29)"*"25^(123)"*"31^(512)` will be

A

8

B

0

C

6

D

5

Text Solution

Verified by Experts

The correct Answer is:
C
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DISHA PUBLICATION-NUMBER SYSTEM-Practice Exercise (Foundation Level)
  1. The sum and number of even factors of 2450.

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  2. Find the sum of divisors of 544 which are perfect squares.

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  3. Find the number of zeroes in: 100^(1)xx99^(2)xx98^(3)xx97^(4)xx….xx1...

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  4. (23)(5)+(47)(9)=(?)(8)

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  5. LCM of first 100 natural numbers is N. What is the LCM of first 105 na...

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  6. N! is completely divisible by 13^(52). What is sum of the digits of th...

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  7. A two digit number is divided by the sum of its digits. What is the ma...

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  8. 12^(55)//3^(11)+8^(48)//16^(18) will give the digit at units place as

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  9. The unit digit in the expression 36^(234)"*"33^(512)"*"39^(180)-54^(...

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  10. The last digit of the LCM of (3^(2003)-1)and(3^(2003)+1) is

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  11. The persons start walking together and their steps measure 40 cm, 42 c...

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  12. The sum of first n odd numbers (i.e., 1+3+5+7+…+2n-1) is divisible by ...

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  13. Which of the following is/are true? (i) 43^(3)-1 is divisible by 11 ...

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  14. The remainder when 6^(6^6^6^6^(..oo "times")) is divided by 10

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  15. The last two-digits in the multiplication 122xx123xx125xx127xx129 wi...

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  16. Find GCD (2^(120)-1,2^(100)-1).

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  17. How many natural numbers are there which give a remainder of 41 after ...

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  18. The remainder when 6^(6^6^6^6^(..oo "times")) is divided by 10

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  19. Find the unit digit of the expression 199^(2n)+144^(3n), where n is a ...

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  20. Simplify:- 256 * 24 ÷ 32 ÷ 3 = ?^2

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