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Prove that two consecutive positive inte...

Prove that two consecutive positive integers are always coprime.

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PREMIERS PUBLISHERS-NUMBERS AND SEQUENCES-OTHER IMPORTANT OBJECTIVE TYPE QUESTIONS
  1. Prove that two consecutive positive integers are always coprime.

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  2. The quotient and remainder when 19 is divided by -3 are :

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  3. The square of an odd integer is of the form 4q + r where r is :

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  4. Find the greatest number that will divide 445 and 572 leaving remainde...

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  5. Use Euclid Division Algorithm to find the Highest Common Factor (H.C.F...

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  6. Find a and b such that a^(b) xx b^(a) = 5184

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  7. We say that n is congruent to r modulo m if :

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  8. If 59-=3 (mod 7) ,46 -=4 (mod 7) then 105 -= …. (mod 7 ), 13-=…. (mod ...

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  9. The remainder when 7 xx 13 xx 19 xx 23 xx 29 xx 31 is divided by 6 is ...

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  10. Find the least positive value of x such that 197 -= (x + 3) (mod 5).

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  11. Find x if 10^(4) -= x (mod 23)

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  12. What is the time 100 hours after 6 am ?

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  13. The n^(th) term of the sequence 4, 7, 12, 19, … is

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  14. In an A.P. with first term 'a' and common difference 'd' t(2n) - t(n) ...

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  15. If an A.P. has its second term as 15, third term as 27 its fifth term ...

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  16. No. of terms is the A.P.2,5,8,11,…..110 is :

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  17. In the A.P. 3,5,7,…43, find the middle term :

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  18. If 7 + k, 22 -k " and " 5k + 5 are in A.P. , then k is ,

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  19. What is the sum of first n natural numbers ?

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  20. If the 3^(rd) term of a G.P. is 4/3 " and " 6^(th) " term is " 32/81 f...

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  21. An A.P. has 21 terms. If its 11^(th) term is 25, sum of all the term i...

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