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Quantitative Aptitude

ALGEBRA MCQs

Basic Algebraic Identities Of School Algebra & Elementary Surds

Total Questions : 1010 | Page 33 of 101 pages
Question 321. If $$x = {\left( {0.25} \right)^{\frac{1}{2}}},$$   $$y = {\left( {0.4} \right)^2},$$   $$z = {\left( {0.216} \right)^{\frac{1}{2}}}$$   then-
  1.    y > x > z
  2.    x > y > z
  3.    z > x > y
  4.    x > z > y
 Discuss Question
Answer: Option D. -> x > z > y
Question 322. If $${x^2} + {y^2} = 29$$   and xy = 10 where x > 0, y > 0, x > y, then the value of $$\frac{{x + y}}{{x - y}}$$   is?
  1.    $$ - \frac{7}{3}$$
  2.    $$\frac{7}{3}$$
  3.    $$\frac{3}{7}$$
  4.    $$ - \frac{3}{7}$$
 Discuss Question
Answer: Option B. -> $$\frac{7}{3}$$
Question 323. If $${p^2} + {q^2} = 7pq{\text{,}}$$    then the value of $$\frac{p}{q}{\text{ + }}\frac{q}{p}$$   is equal to?
  1.    9
  2.    5
  3.    7
  4.    3
 Discuss Question
Answer: Option C. -> 7
Question 324. If xy(x + y) = m, then the value of x3 + y3 + 3m is?
  1.    $$\frac{{{m^3}}}{{xy}}$$
  2.    $$\frac{{{m^3}}}{{{{\left( {x + y} \right)}^2}}}$$
  3.    $$\frac{{{m^3}}}{{{x^3}{y^3}}}$$
  4.    $$\frac{m}{{{x^3}{y^3}}}$$
 Discuss Question
Answer: Option C. -> $$\frac{{{m^3}}}{{{x^3}{y^3}}}$$
Question 325. If $$x = {3^{\frac{1}{3}}} - {3^{ - \frac{1}{3}}}$$   value of $$3{x^3} + 9x$$   is?
  1.    8
  2.    9
  3.    27
  4.    16
 Discuss Question
Answer: Option A. -> 8
Question 326. $$p + \frac{1}{{p + 2}} = 1{\text{,}}$$   Find the value of $${\left( {p + 2} \right)^3}$$  $$+$$ $$\frac{1}{{{{\left( {p + 2} \right)}^3}}}$$  $$-$$ 3 = ?
  1.    12
  2.    16
  3.    18
  4.    15
 Discuss Question
Answer: Option D. -> 15
Question 327. If $$x + \frac{1}{x} \ne 0$$   and $${x^3} + \frac{1}{{{x^3}}} = 0{\text{,}}$$   then the value $${\left( {x + \frac{1}{x}} \right)^4}$$   is?
  1.    9
  2.    12
  3.    15
  4.    16
 Discuss Question
Answer: Option A. -> 9
Question 328. If $$x + \frac{1}{x} = 2$$   then $${x^2} + \frac{1}{{{x^2}}}$$   is equal to?
  1.    0
  2.    2
  3.    4
  4.    8
 Discuss Question
Answer: Option B. -> 2
Question 329. If $$\left( {x + \frac{1}{x}} \right)$$   : $$\left( {x - \frac{1}{x}} \right)$$  = 5 : 3 the value of x is/are ?
  1.    ±1
  2.    ±2
  3.    ±3`
  4.    0
 Discuss Question
Answer: Option B. -> ±2
Question 330. If x + y = √3 and x - y = √2, then the value of 8xy(x2 + y2) is?
  1.    6
  2.    √6
  3.    5
  4.    √5
 Discuss Question
Answer: Option C. -> 5

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