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Let x be an integer and x^2 + x + 1 is d...

Let `x` be an integer and `x^2 + x + 1` is divisible by 3. When is `x` divided by 3. it leaves remainder

A

0

B

1

C

2

D

any of (a), (b) and (c)

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The correct Answer is:
B
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MCGROW HILL PUBLICATION-QUADRATIC EQUATIONS-Exercise ( Level 1 (single correct answer type questions))
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  2. If roots of the equation ax^2 + bx + c = 0 are alpha/(alpha-1) and (a...

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  3. Let x be an integer and x^2 + x + 1 is divisible by 3. When is x divid...

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  4. If alpha, beta are roots of the equation x^(2) + ax + b = 0, then max...

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  5. If both the roots of the equation x^(2) + bx + c = 0 lie in the interv...

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  6. Let a, b, c in R be such that a + b + c lt 0, a - b + c lt 0 and c g...

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  7. Find the valuesof m for which exactly one root of the equation x^(2)-2...

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  8. The value of sqrt(8 + 2 sqrt(8 + 2 sqrt(8 + 2 sqrt(8 + . . . . )))) i...

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  9. The number of solutions of the equation sin((pix)/(2sqrt3))=x^2-2sqrt3...

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  10. The number of solutions of |x+2| = 2(3 - x) is

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  11. If the equation ax^(2)+bx+c=0 (a lt 0) has two roots alpha and beta su...

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  12. Two non-integer roots of (x^(2) - 5x)^(2) - 7 (x^(2) - 5x) + 6 = 0 are

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  13. The number of real roots of ((x - 1)/( x + 1))^(4) - 13 ((x - 1)/( x +...

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  14. The number of negative roots of 9^(x +2) - 6 (3^(x +1)) + 1 = 0 is

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  15. The number of roots of 81 ((2x - 5)/( 3x +1))^(4) - 45 ((2x - 5)/(3x ...

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  16. (x^2+3x+2)^2 - 8(x^2+3x) -4 =0

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  17. The number of roots of the equation sqrt((x)/(x - 3)) + sqrt((x - 3)/(...

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  18. 4(x-1/x)^2+8(x+1/x)=29 is

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  19. Irrational roots of the equaiton 2x^(4) + 9x^(3) + 8x^(2) + 9x + 2 = 0...

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  20. Sum of the roots of the equaiton 4 (x - (1)/(x))^(2) - 4 (x - (1)/(x)...

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