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Quantitative Aptitude

ALGEBRA MCQs

Basic Algebraic Identities Of School Algebra & Elementary Surds

Total Questions : 1010 | Page 28 of 101 pages
Question 271.  if -4x + 5y is subtracted from 3x + 2y then answer will be
  1.    x - 3y
  2.    x + 3y
  3.    2x + 5y
  4.    3x + 6y
 Discuss Question
Answer: Option A. -> x - 3y
Explanation :
Question 272. If $$\frac{a}{b} + \frac{b}{a} = 1{\text{,}}$$   then the value of a3 + b3 will be?
  1.    1
  2.    0
  3.    -1
  4.    2
 Discuss Question
Answer: Option B. -> 0
Question 273. If $${x^2} + 5x + 6 = 0{\text{,}}$$    then the value of $$\frac{{2x}}{{{x^2} - 7x + 6}}$$   is?
  1.    $$\frac{1}{6}$$
  2.    $$\frac{1}{3}$$
  3.    $$ - \frac{1}{6}$$
  4.    $$ - \frac{1}{3}$$
 Discuss Question
Answer: Option C. -> $$ - \frac{1}{6}$$
Question 274. If p = 99, then the value of p(p2 + 3p + 3) will be?
  1.    1000000
  2.    999999
  3.    999998
  4.    999997
 Discuss Question
Answer: Option B. -> 999999
Question 275. If a - b = 1 and a3 - b3 = 61, then the value of ab will be?
  1.    -20
  2.    20
  3.    30
  4.    60
 Discuss Question
Answer: Option B. -> 20
Question 276. If a + b = 5 and a - b = 3, then the value of (a2 + b2) is?
  1.    17
  2.    18
  3.    19
  4.    20
 Discuss Question
Answer: Option A. -> 17
Question 277. If $$x = a + \frac{1}{a}$$   and $$y = a - \frac{1}{a},$$   then the value of x4 + y4 - 2x2y2 is?
  1.    4
  2.    8
  3.    16
  4.    64
 Discuss Question
Answer: Option C. -> 16
Question 278. If $$x + \frac{1}{x} = \sqrt 3 {\text{,}}$$   then find the value of $${x^3} + \frac{1}{{{x^3}}}$$   = ?
  1.    -2
  2.    0
  3.    2
  4.    4
 Discuss Question
Answer: Option B. -> 0
Question 279. If $$x + \frac{1}{x} = \sqrt {13} {\text{,}}$$    then $$\frac{{3x}}{{\left( {{x^2} - 1} \right)}}$$   equal to?
  1.    $${\text{3}}\sqrt {13} $$
  2.    $$\frac{{\sqrt {13} }}{{13}}$$
  3.    1
  4.    3
 Discuss Question
Answer: Option C. -> 1
Question 280. If $$x = \frac{1}{{\left( {\sqrt 2 + 1} \right)}}{\text{,}}$$    the value of x2 + 2x - 1 is?
  1.    $${\text{2}}\sqrt 2 $$
  2.    4
  3.    0
  4.    2
 Discuss Question
Answer: Option C. -> 0

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