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If (67^67 + 67) is divided by 68, the re...

If `(67^67 + 67)` is divided by 68, the re- mainder is:

A

1

B

63

C

66

D

67

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GAGAN PRATAP -NUMBER SYSTEM-Multiple Choice Questions
  1. The remainder when 3^21 is divided by 5 is

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  2. If 17^(200) is divided by 18, the remainder is

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  3. If (67^67 + 67) is divided by 68, the re- mainder is:

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  4. If x is the remainder when 3^61284 is divided by 5 and y is the remain...

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  5. (10^(1)+10^(2)+10^(3)------+10^(100))/(6) find R.

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  6. Find the largest number, which exactly divides every number of the fro...

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  7. A number when divided successively by 4 and 5 leaves remainders 1 and ...

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  8. A number divided by 13 leaves a remainder 1 and if the quotient, th...

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  9. Which of the following cannot be the unit digit of a perfect square nu...

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  10. What is the unit digit of the sum of first 111 whole numbers

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  11. The digit in unit's place of the product 81 xx 82 xx 83 xx... xx 89 is

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  12. If the unit digit of (433 xx 456 xx 43N) is (N + 2), then what is the ...

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  13. What is the unit digit of (217)^(413)xx(819)^(547)xx(414)^(624)xx(342)...

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  14. What is the digit in the unit's place of the number represented by 3^9...

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  15. Let x= (633)^24- (277)^38+ (266)^54. what is the unit digit of x? मा...

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  16. If x=(164)^169+ (333)^337- (727)^726, then what is the unit digit of x...

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  17. The last digit of the expression 4 xx 9^2 xx 4^3 xx 9^4 xx 4^5 xx 9^...

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  18. The number of factors of 3600 is: 3600 के कितने गुणनखंड है:

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  19. If N=9^(9), then N is divisible by how many positive perfect cubes ?

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  20. If N=3^(14)+3^(13)-12, then what is the largest prime factor of N ?

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