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Quantitative Aptitude

ALGEBRA MCQs

Basic Algebraic Identities Of School Algebra & Elementary Surds

Total Questions : 1010 | Page 34 of 101 pages
Question 331. If p3 - q3 = (p - q){(p -q)2 + xpq}, then the value of x is?
  1.    1
  2.    -1
  3.    3
  4.    2
 Discuss Question
Answer: Option C. -> 3
Question 332. If $${\left( {{\text{ }}a + \frac{1}{a}} \right)^2} = 3{\text{,}}$$    then the value of a18 + a12 + a6 + 1 is?
  1.    3
  2.    1
  3.    0
  4.    2
 Discuss Question
Answer: Option C. -> 0
Question 333. When a number x is divided by a divisor it is seen that the divisor = 4 times the quotient = double of remainder. If the remainder is 80, then the value of x is?
  1.    6480
  2.    9680
  3.    8460
  4.    4680
 Discuss Question
Answer: Option A. -> 6480
Question 334. If the sum of square of two real numbers is 41, and their sum is 9. Then the sum of cubes of these two numbers is ?
  1.    169
  2.    209
  3.    189
  4.    198
 Discuss Question
Answer: Option C. -> 189
Question 335. If p = 99, then the value of p(p2 + 3p + 3) is?
  1.    9999
  2.    999999
  3.    99999
  4.    999
 Discuss Question
Answer: Option B. -> 999999
Question 336. A complete factorisation of x4 + 64 is?
  1.    (x2 + 8)2
  2.    (x2 + 8)(x2 - 8)
  3.    (x2 - 4x + 8)(x2 - 4x - 8)
  4.    (x2 + 4x + 8)(x2 - 4x + 8)
 Discuss Question
Answer: Option D. -> (x2 + 4x + 8)(x2 - 4x + 8)
Question 337. The simplified value of $$\left( {1 - \frac{{2xy}}{{{x^2} + {y^2}}}} \right)$$   $$ ÷ $$ $$\left( {\frac{{{x^3} - {y^3}}}{{x - y}} - 3xy} \right)$$    is?
  1.    $$\frac{1}{{{x^2} - {y^2}}}$$
  2.    $$\frac{1}{{{x^2} + {y^2}}}$$
  3.    $$\frac{1}{{x - y}}$$
  4.    $$\frac{1}{{x + y}}$$
 Discuss Question
Answer: Option B. -> $$\frac{1}{{{x^2} + {y^2}}}$$
Question 338. If $$x = \frac{{\sqrt 5 + 1}}{{\sqrt 5 - 1}}$$   and $${\text{y}} = \frac{{\sqrt 5 - 1}}{{\sqrt 5 + 1}}{\text{,}}$$   then the value of $$\frac{{{x^2} + xy + {y^2}}}{{{x^2} - xy + {y^2}}}$$   is?
  1.    $$\frac{3}{4}$$
  2.    $$\frac{5}{3}$$
  3.    $$\frac{4}{3}$$
  4.    $$\frac{3}{5}$$
 Discuss Question
Answer: Option C. -> $$\frac{4}{3}$$
Question 339. If x2 + y2 + 2x +1 = 0, then the value of x31 + y35 is?
  1.    -1
  2.    1
  3.    0
  4.    2
 Discuss Question
Answer: Option A. -> -1
Question 340. If x4 + 2x3 + ax2 + bx + 9 is a perfect square where a and b are positive real numbers, then the value of a and b is?
  1.    a = 5, b = 6
  2.    a = 6, b = 7
  3.    a = 7, b = 7
  4.    a = 7, b = 8
 Discuss Question
Answer: Option B. -> a = 6, b = 7

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