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Find the unit digit of 13^(24)xx68^(57)x...

Find the unit digit of `13^(24)xx68^(57)xx24^(13)xx57^(68)+1234+5678`.

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QUANTUM CAT-NUMBER SYSTEM-QUESTION BANK
  1. Find the last digit of the expression: 1^2 + 2^2 + 3^2 + 4^2 + ……..+...

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  2. Find the unit digit of 1^1 + 2^2 + 3^3 + …… 10^(10).

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  3. Find the unit digit of 13^(24)xx68^(57)xx24^(13)xx57^(68)+1234+5678.

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  4. The unit digit of expression (1 xx 2 xx 3 xx 4 xx 5 xx 6 xx 7 xx 8 ...

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  5. Find the unit digit of the expression. 888^(9235!) + 222^(9235!) + 6...

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  6. The last digit of the following expreesion is : (1!)^1 + (2!)^(2) + ...

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  7. The last digit of the following expreesion is : (1!)^1 + (2!)^(2) + ...

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  8. Find the value of 107xx107-93xx93

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  9. Find the value of 734856xx9999.

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  10. 6798xx223+6798xx77=k, then the value of k will be

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  11. 123xx123+77xx77+2xx123xx77=?

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  12. ((941 + 149)^2+ (941 - 149)^2)/((941 xx 941 + 149 xx 149)) = ?

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  13. (888 xx 888 xx 888 - 222 xx 222 xx 222)/(888 xx 888 + 888 xx 222 + 222...

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  14. If (64)^2 - (36)^2 = 20 k then the value of k is :

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  15. If a+1/a=4. then the value of a^2+1/a^2 is :

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  16. If a + 1/a = 3, then the value of a^3 + 1/(a^3) is :

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  17. What is the value of (2.75xx2.75xx2.75-2.25xx2.25xx2.25)/(2.75xx2.75...

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  18. If (sqrta+sqrtb)=17 and (sqrta-sqrtb)=1, then the value of sqrtab is :

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  19. Find the value of a^3+b^3+c^3-3abc if a+b+c=12 and ab +bc +ca=47.

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  20. If a + b + c = 0 , then the value of a^3 + b^3 + c^3 is :

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