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Quantitative Aptitude

ALGEBRA MCQs

Basic Algebraic Identities Of School Algebra & Elementary Surds

Total Questions : 1010 | Page 30 of 101 pages
Question 291. If $$\frac{a}{{1 - 2a}}$$  $$+$$ $$\frac{b}{{1 - 2b}}$$  $$+$$ $$\frac{c}{{1 - 2c}}$$  = $$\frac{1}{2}{\text{,}}$$  then the value of $$\frac{1}{{1 - 2a}}$$  $$+$$ $$\frac{1}{{1 - 2b}}$$  $$+$$ $$\frac{1}{{1 - 2c}}$$  is?
  1.    1
  2.    2
  3.    3
  4.    4
 Discuss Question
Answer: Option D. -> 4
Question 292. Ratio of three numbers x, y, z are in 2, 3, 5 respectively and the sum of x, y, z is 80. If the number z is given by the equation z = ax - 8, then a is ?
  1.    6
  2.    $$\frac{3}{2}$$
  3.    3
  4.    $$\frac{5}{2}$$
 Discuss Question
Answer: Option C. -> 3
Question 293. If $$x = \sqrt a + \frac{1}{{\sqrt a }}{\text{,}}$$    $$y = \sqrt a - \frac{1}{{\sqrt a }}{\text{,}}$$   $$\left( {a > 0} \right)$$   then the value of x4 + y4 - 2x2y2 is?
  1.    16
  2.    20
  3.    10
  4.    5
 Discuss Question
Answer: Option A. -> 16
Question 294. If (x - 2)(x - p) = x2 - ax + 6, then the value of (a - p) is?
  1.    0
  2.    1
  3.    2
  4.    3
 Discuss Question
Answer: Option C. -> 2
Question 295. If $$x = \root 3 \of {{x^2} + 11} - 2{\text{,}}$$    then the value of x3 + 5x2 + 12x is?
  1.    0
  2.    3
  3.    7
  4.    11
 Discuss Question
Answer: Option B. -> 3
Question 296. If $${p^2} + \frac{1}{{{p^2}}} = 47{\text{,}}$$    then the value of $$p + \frac{1}{p}$$  is?
  1.    5
  2.    6
  3.    7
  4.    8
 Discuss Question
Answer: Option C. -> 7
Question 297. The third proportional of the following numbers (x - y)2, (x2 - y2) = ?
  1.    (x + y3) (x + y4)
  2.    (x + y)4 (x - y)2
  3.    (x + y) (x - y)2
  4.    (x + y)2 (x - y)3
 Discuss Question
Answer: Option C. -> (x + y) (x - y)2
Question 298. If $$x + \sqrt 5 = 5 + \sqrt y $$     and x, y are positive integers, then the value of $$\frac{{\sqrt x + y}}{{x + \sqrt y }}$$   is?
  1.    1
  2.    2
  3.    5
  4.    7
 Discuss Question
Answer: Option A. -> 1
Question 299. If $$2x + \frac{1}{{3x}} = 5{\text{,}}$$   then the value of $$\frac{{5x}}{{6{x^2} + 20x + 1}}$$   is?
  1.    $$\frac{1}{4}$$
  2.    $$\frac{1}{6}$$
  3.    $$\frac{1}{5}$$
  4.    $$\frac{1}{7}$$
 Discuss Question
Answer: Option D. -> $$\frac{1}{7}$$
Question 300. If x, y and z are real numbers such that (x - 3)2 + (y - 4)2 + (z - 5)2 = 0, then (x + y + z) is equal to?
  1.    10
  2.    14
  3.    11
  4.    12
 Discuss Question
Answer: Option D. -> 12

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