Practice MCQ Questions and Answer on Algebra

141.

x varies inversely as square of y. Given that y = 2 for x = 1, the value of x for y = 6 will equal to?

  • (A) 3
  • (B) 9
  • (C) $$\frac{1}{3}$$
  • (D) $$\frac{1}{9}$$

142.

If $$a\left( {2 + \sqrt 3 } \right)$$   = $$b\left( {2 - \sqrt 3 } \right)$$   = 1, then the value of $$\frac{1}{{{a^2} + 1}}$$  + $$\frac{1}{{{b^2} + 1}}$$  = ?

  • (A) -1
  • (B) 1
  • (C) 4
  • (D) 9

143.

If 4x2 - 6x + 1 = 0, then the value of $$8{x^3} + \frac{1}{{8{x^3}}}$$  is:

  • (A) 36
  • (B) 13
  • (C) 18
  • (D) 11

144.

If a = 2.361, b = 3.263, and c = 5.624, then the value of a3 + b3 - c3 + 3abc is?

  • (A) (p- q)(q - r)3 + (r - p)3
  • (B) 3(p - q)(q - r)(r - p)
  • (C) 0
  • (D) 1

145.

If x(x - 3) = -1, then the value of x3(x3 - 18) is?

  • (A) -1
  • (B) 2
  • (C) 1
  • (D) 0

146.

The graphs of the equations 3x - 20y - 2 = 0 and 11x - 5y + 61 = 0 intersect at P(a, b). What is the value of (a2 + b2 - ab)(a2 - b2 + ab)?

  • (A) $$\frac{{37}}{{35}}$$
  • (B) $$\frac{5}{7}$$
  • (C) $$\frac{{31}}{{41}}$$
  • (D) $$\frac{{41}}{{31}}$$

147.

If $$x + \frac{{16}}{x} = 8,$$   then the value of $${x^2} + \frac{{32}}{{{x^2}}}$$  is:

  • (A) 20
  • (B) 24
  • (C) 16
  • (D) 18

148.

If x = 2 - p, then x3 + 6xp + p3 is equal to:

  • (A) 12
  • (B) 6
  • (C) 8
  • (D) 4

149.

If $$\frac{{22\sqrt 2 }}{{4\sqrt 2 - \sqrt {3 + \sqrt 5 } }} = a + \sqrt 5 b$$      with a, b > 0, then what is the value of (ab) : (a + b)?

  • (A) 7 : 4
  • (B) 7 : 8
  • (C) 4 : 7
  • (D) 8 : 7

150.

If $$\frac{{x + y}}{z} = 2,$$   then what is the value of $$\left[ {\frac{y}{{y - z}}} \right] + \left[ {\frac{x}{{x - z}}} \right]?$$

  • (A) 0
  • (B) 1
  • (C) 2
  • (D) -1