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If x^2 + x + 1 = 0, then what is the val...

If `x^2 + x + 1 = 0`, then what is the value of `x^(199) + x^(200) + x^(201)`

A

`-1`

B

0

C

1

D

3

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NDA PREVIOUS YEARS-QUESTION PAPER 2021(I)-MULTIPLE CHOICE QUESTION
  1. If x^2 + x + 1 = 0, then what is the value of x^(199) + x^(200) + x^(2...

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  2. If x y, z are in GP, then which of the following is/are correct? ...

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  3. f log(10) 2, log(10)(2^(x) -1) , log(10)(2^(x)+3) are in AP, then wha...

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  4. Let S = {2, 3, 4, 5, 6, 7, 9}. How many different 3-digit numbers (wit...

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  5. If p= (1111... up to n digits), then what is the value of 9p^2 + p ?

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  6. The quadratic equation 3x^2 - (k^2 + 5k) x + 3k^2 - 5k = 0 has real...

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  7. If a(n) = n(n!) , then what is a1 +a2 +a3 +......+ a(10) equal to ?

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  8. If p and q are the non-zero roots of the equation x^2 + px + q = 0, t...

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  9. If Delta=|(a,b,c),(d,e,f),(g,h,i)| then what is |(3d+5g ,4a+7g,6g...

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  10. If (1)/(b+c),1/(c+a),1/(a+b) are are in HP, then which of the followin...

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  11. If A=[(1,a),(0,1)] where a in N , then what is A^(100) - A^(50)-2A^(2...

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  12. If |(a,-b,a-b-c),(-a,b,-a+b-c),(-a,-b,-a-b+c)| - kabc = 0 (a != 0, b !...

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  13. What is sum(r = 1)^(8n + 7)i^(r) equal to where i = sqrt(-1) ?

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  14. If z = x + iy where i = sqrt(-1) , then what does the equation zbarz ...

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  15. Which one of the following is a square root of 2a+2sqrt(a^2+b^2) , w...

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  16. If sintheta and costheta are the roots of the equationax^(2)-bx+c=0 ,...

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  17. If C (n, 4), C (n, 5) and C (n, 6) are in AP, then what is the value ...

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  18. How many 4-letter words (with or without meaning) containing two vowe...

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  19. Suppose 20 distinct points are placed randomly on a circle. Which of t...

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  20. How many terms are there in the expansion of ((a^2)/(b^2) + (b^2)/(a^2...

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