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If N=4^(11)+4^(12)+4^(13)+4^(14), then h...

If `N=4^(11)+4^(12)+4^(13)+4^(14)`, then how many positive factors of N are there ?

A

92

B

48

C

50

D

51

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CHAMPION PUBLICATION-2017 TIER-II PAPER(12)-EXERCISE
  1. Which of the following statements (s) is are TRUE ? I. (3)/(110) lt ...

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  2. If f (x) = (1)/( x) - (1)/( x +1) then what is the value of f (1) ...

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  3. If N=4^(11)+4^(12)+4^(13)+4^(14), then how many positive factors of N ...

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

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

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  6. Which of the following statements is/are TRUE ? I. sqrt(121)+sqrt(1...

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  7. What is the value of (2+sqrt(2))+((1)/(2+sqrt(2))+((1)/(2-sqrt(2)))+(2...

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  8. The sum of two positive numbers is 14 and difference between their squ...

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  9. What is the value of 1006^(2) - 1007 xx 1005 + 1008 xx 1004 - 1009 xx ...

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  10. If a^(2) + b^(2) = 4 b + 6a - 13 then what is the value of (a + b) ...

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  11. x and y are positive integers. If x^(4) + y^(4) + x^(2) y^(2) = 481 ...

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  12. If A = 1 + 2^(p) and B = 1 + 2^(-p) , then what is the value of B ?

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  13. If a and b are roots of the equation ax^2+bx+c=0, then which equation ...

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  14. If sqrt(( 1 - p^(2)) (1 - q^(2))) = ( sqrt(3))/( 2) and q=0 then wh...

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  15. If (a + b)^(2) - 2 (a + b) = 80 and ab = 16 then what can be th...

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  16. If x^(y + x ) = 1, y^(x + z) = 1024 and z^(x+ y) = 729 (x, y and z...

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  17. If x + y + z = 1, x^(2) + y^(2) + z^(2) = 2 and x^(3) + y^(3) + z^(3...

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  18. In triangle PQR, the internal angle bisector of angle Q and angle R me...

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  19. PQR is a triangle such that PQ = PR. RS and QT are the medians to the ...

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  20. PQR is a triangle. S and T are the midpoints of the sides PQ and PR re...

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