Algebra

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Question 1

Given two numbers x and y such that 

1. x3 + y3 = 9 

2. x + y = 3

Find the value of x4+y4      

  • 2/3

  • 7

  • 13

  • 17

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Question 2

The value of x+1/2x is given as 2, then find the value of 8x3+1/x3

  • 40/3

  • 20/7

  • 28

  • 40

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Question 3

If x takes only real numbers. For what value of x, the value of the expression: 4−6x−x2 will be maximum?

  • -4

  • -3

  • 0

  • 3

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Question 4

Solve for x in the equation: log(2x - 1) + log(3) = log(x + 5) 

  • x = -1/3 

  • x = 1/3 

  • x = 5/3 

  • x = 8/5

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Question 5

For what value of x, the following equation: 5√x +12√x =13√x will be true?

  • -2

  • 0

  • 3

  • None of the above

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Question 6

If the value of b2 + 1⁄b2 = 1, then find the value of b3 + 1⁄b3 .

  • -1/12

  • -2

  • -4

  • None of the above

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Question 7

 

  • 1 + 1/(x+4)

  • x+4

  • 1/x

  • (x+4)/ x

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Question 8

If a+b+c = 0, then the value of (a^2/bc) + (b^2/ac) + (c^2/ab) will be? 

  • 3

  • 2

  • 1

  • 0

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Question 9

4/15 of 5/7 of a number is greater than 4/9 of 2/5 of the same number by 8. What is half of that number?

  • 630

  • 63

  • 315

  • 105

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Question 10

If 2x/(1 + 1/(1 + x/(1 - x))) = 1, then find the value of x.

  • 1/3

  • 2/3

  • 1/2

  • 3/2

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