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Find the remainder when (257^(166)-243^(...

Find the remainder when `(257^(166)-243^(166))` is divided by 500.

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RS AGGARWAL-NUMBER SYSTEM-All Questions
  1. Find the remainder when (397)^(3589)+5 is divided by 398.

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  2. If 7^(126) is divided by 48, find the remainder.

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  3. Find the remainder when (257^(166)-243^(166)) is divided by 500.

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  4. Find a common factor of (127^(127)+97^(127))a n d\ (127^(97)+97^(97))d...

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  5. A 99-digit number is formed by writing the first 59 natural numbers on...

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  6. What is the place value of 5 in 3254710? 5         (b)    10000   (...

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  7. The face value of 8 in the number 458926 is 8            (b)   100...

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  8. The sum of the place values of 3 in the number 503535 is 6       (...

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  9. The difference between the place values of 7 and 3 in the number 52...

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  10. The difference between the local value and the face value of 7 in t...

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  11. The sum of the greatest and smallest number of five digits is (a)...

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  12. If the largest three-digit number is subtracted from the smallest f...

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  13. The smallest number of 5 digits beginning with 3 and ending with 5 ...

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  14. What is the minimum number of four digits formed by using the digit...

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  15. All natural numbers and 0 are called the …… numbers. rational    (b...

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  16. Consider the following statements about natural numbers: There exis...

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  17. Every rational number is also an integer                    (b)  a...

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  18. The number pi is a fraction (b) a recurring decimal a rational numbe...

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  19. sqrt(2)\ i s\ a//a n rational number (b) natural number irrational nu...

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  20. The number sqrt(3)\ i s a finite decimal (b) an infinite recurring...

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