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Quantitative Aptitude

ALGEBRA MCQs

Basic Algebraic Identities Of School Algebra & Elementary Surds

Total Questions : 1010 | Page 36 of 101 pages
Question 351. The value of the expression $$\frac{{{{\left( {a - b} \right)}^2}}}{{\left( {b - c} \right)\left( {c - a} \right)}} + $$   $$\frac{{{{\left( {b - c} \right)}^2}}}{{\left( {a - b} \right)\left( {c - a} \right)}} + $$    $$\frac{{{{\left( {c - a} \right)}^2}}}{{\left( {a - b} \right)\left( {b - c} \right)}}$$   = ?
  1.    0
  2.    3
  3.    $$\frac{1}{3}$$
  4.    2
 Discuss Question
Answer: Option B. -> 3
Question 352. If $${a^{\frac{1}{3}}} = 11,$$   then the value of a2 - 331a is?
  1.    1331331
  2.    1331000
  3.    1334331
  4.    1330030
 Discuss Question
Answer: Option B. -> 1331000
Question 353. If a2 + b2 = 2 and c2 + d2 = 1, then the value of (ad - bc)2 + (ac - bd)2 is?
  1.    $$\frac{4}{9}$$
  2.    $$\frac{1}{2}$$
  3.    1
  4.    2
 Discuss Question
Answer: Option D. -> 2
Question 354. If $$x = \frac{{4ab}}{{a + b}}{\text{ }}a \ne b,$$     the value of $$\frac{{x + 2a}}{{x - 2a}}$$   + $$\frac{{x + 2b}}{{x - 2b}}$$   is?
  1.    a
  2.    b
  3.    2ab
  4.    2
 Discuss Question
Answer: Option D. -> 2
Question 355. If a2 + b2 + 2b + 4a + 5 = 0, then the value of $$\frac{{a - b}}{{a + b}}\,{\text{is?}}$$
  1.    3
  2.    -3
  3.    $$\frac{1}{3}$$
  4.    $$ - \frac{1}{3}$$
 Discuss Question
Answer: Option C. -> $$\frac{1}{3}$$
Question 356. If $$m + \frac{1}{{m - 2}} = 4{\text{,}}$$    find the value of $${\left( {m - 2} \right)^2}{\text{ + }}\frac{1}{{{{\left( {m - 2} \right)}^2}}}$$     is?
  1.    -2
  2.    0
  3.    2
  4.    4
 Discuss Question
Answer: Option C. -> 2
Question 357. If a + b + c = 0, then the value of
$$\frac{1}{{\left( {a + b} \right)\left( {b + c} \right)}} + $$   $$\frac{1}{{\left( {a + c} \right)\left( {b + a} \right)}} + $$   $$\frac{1}{{\left( {c + a} \right)\left( {c + b} \right)}}$$   $$ = ?$$
  1.    1
  2.    0
  3.    -1
  4.    -2
 Discuss Question
Answer: Option B. -> 0
Question 358. If x2 + y2 - 4x - 4y + 8 = 0, then the value of x - y is?
  1.    4
  2.    -4
  3.    0
  4.    8
 Discuss Question
Answer: Option C. -> 0
Question 359. If x = b + c - 2a, y = c + a - 2b, z = a + b - 2c, then the value of x2 + y2 - z2 + 2xy is?
  1.    0
  2.    a + b + c
  3.    a - b + c
  4.    a + b - c
 Discuss Question
Answer: Option A. -> 0
Question 360. If $$x + \frac{1}{x} = \sqrt 3 {\text{,}}$$   then the value of x18 + x12 + x6 + 1 is?
  1.    0
  2.    1
  3.    2
  4.    3
 Discuss Question
Answer: Option A. -> 0

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