Algebra MCQs
Practice Algebra MCQs for competitive exams.
Algebra MCQs
Practice questions from this topic.
If 4x 2 - 6x + 1 = 0, then the value of $$8{x^3} + frac{1}{{8{x^3}}}$$ is:
Correct Answer: C
If $$x + frac{4}{x} - 4 = 0,$$ then the value of x 2 - 4 is equal to:
Correct Answer: C
If (4x + 2y) 3 + (4x - 2y) 3 = 16(Ax 3 + Bxy 2 ), then what is the value of $$frac{1}{2}left( {sqrt {{A^2} + {B^2}} } right)?$$
Correct Answer: C
If $$sqrt {left( {1 - {p^2}} right)left( {1 - {q^2}} right)} = frac{{sqrt 3 }}{2},$$ then what is the value of $$sqrt {2{p^2} + 2{q^2} + 2pq} + sqrt {2{p^2} + 2{q^2} - 2pq} ,?$$
Correct Answer: B
If x = 255, y = 256, z = 257, then find the value of x 3 + y 3 + z 3 - 3xyz.
Correct Answer: B
If $$frac{{3left( {{x^2} + 1} right) - 7x}}{{3x}} = 6,$$ x ≠ 0 the value $$sqrt x + frac{1}{{sqrt x }}$$ is:
Correct Answer: B
If $$frac{{4left[ {{{left( {17} right)}^3} - {{left( 7 right)}^3}} right]}}{{left( {{{17}^2} + {7^2} + p} right)}} = 40,$$ then what is the value of p?
Correct Answer: C
If 4(4x + 5) > 2x - 1 > 4x - 3, then the value of x is:
Correct Answer: D
If (5√5x 3 - 81√3y 3 ) ÷ (√5x - 3√3y) = (Ax 2 + By 2 + Cxy), then the value of (6A + B - $$sqrt {15} $$ C) is:
Correct Answer: D
If (4a - 3b) = 1, ab = $$frac{1}{2}$$ where a > 0 and b > 0, what is the value of (64a 3 + 27b 3 )?
Correct Answer: D
If a + b = 5 and ab = 3, then (a 3 + b 3 ) is equal to:
Correct Answer: C
If $$sqrt x + frac{1}{{sqrt x }} = 3,$$ then the value of $${x^3} + frac{1}{{{x^3}}}$$ is:
Correct Answer: B