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Quantitative Aptitude

ALGEBRA MCQs

Basic Algebraic Identities Of School Algebra & Elementary Surds

Total Questions : 1010 | Page 31 of 101 pages
Question 301. If a + b = 10 and ab = 21, then the value of (a - b)2 is?
  1.    15
  2.    16
  3.    17
  4.    18
 Discuss Question
Answer: Option B. -> 16
Question 302. If (x - 4)(x2 + 4x + 16) = x3 - p, then p is equal to?
  1.    27
  2.    8
  3.    64
  4.    0
 Discuss Question
Answer: Option C. -> 64
Question 303. If $$4x + \frac{1}{x} = 5,$$   $$x \ne 0{\text{,}}$$   then the value of $$\frac{{5x}}{{4{x^2} + 10x + 1}}$$    is?
  1.    $$\frac{1}{2}$$
  2.    $$\frac{1}{3}$$
  3.    $$\frac{2}{3}$$
  4.    3
 Discuss Question
Answer: Option B. -> $$\frac{1}{3}$$
Question 304. If x = 222, y = 223, z = 225, then the value of x3 + y3 + z3 - 3xyz is?
  1.    4590
  2.    4690
  3.    4950
  4.    4960
 Discuss Question
Answer: Option B. -> 4690
Question 305. If $$c + \frac{1}{c} = \sqrt 3 {\text{,}}$$   then the value of $${c^3} + \frac{1}{{{c^3}}}$$   is equal to?
  1.    0
  2.    $$\frac{3}{{\sqrt 3 }}$$
  3.    $$\frac{1}{{\sqrt 3 }}$$
  4.    $$\frac{6}{{\sqrt 3 }}$$
 Discuss Question
Answer: Option A. -> 0
Question 306. If a + b + c = 0, then the value of a3 + b3 + c3 is?
  1.    abc
  2.    2abc
  3.    3abc
  4.    0
 Discuss Question
Answer: Option C. -> 3abc
Question 307. If $$\frac{1}{p} + \frac{1}{q}$$  = $$\frac{1}{{p + q}}{\text{,}}$$   then the value of p3 - q3 is?
  1.    p - q
  2.    pq
  3.    1
  4.    0
 Discuss Question
Answer: Option D. -> 0
Question 308. If ab = 21 and $$\frac{{{{\left( {a + b} \right)}^2}}}{{{{\left( {a - b} \right)}^2}}}$$   = $$\frac{{25}}{4}{\text{,}}$$  then the value of a2 + b2 + 3ab is?
  1.    115
  2.    121
  3.    125
  4.    127
 Discuss Question
Answer: Option B. -> 121
Question 309. Given a - b = 2, a3 - b3 = 26, then (a + b)2 is?
  1.    9
  2.    4
  3.    16
  4.    12
 Discuss Question
Answer: Option C. -> 16
Question 310. If x + y + z = 9, then the value of (x - 4)3 + (y - 2)3 + (z - 3)3 - 3(x - 4)(y - 2)(z - 3) is?
  1.    6
  2.    9
  3.    0
  4.    1
 Discuss Question
Answer: Option C. -> 0

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