Sail E0 Webinar

Quantitative Aptitude

ALGEBRA MCQs

Basic Algebraic Identities Of School Algebra & Elementary Surds

Total Questions : 1010 | Page 32 of 101 pages
Question 311. If $$x + \frac{1}{{9x}} = 4{\text{,}}$$   then $${\text{9}}{x^2} + \frac{1}{{9{x^2}}}$$   is?
  1.    140
  2.    142
  3.    144
  4.    146
 Discuss Question
Answer: Option B. -> 142
Question 312. If a = 2, b = -3, then the value of 27a3 - 54a2b + 36ab2 - 8b3 is?
  1.    1562
  2.    1616
  3.    1676
  4.    1728
 Discuss Question
Answer: Option D. -> 1728
Question 313. If $${a^3} + \frac{1}{{{a^3}}} = 2{\text{,}}$$   then the value of $$\frac{{{a^2} + 1}}{a}$$  is (a positive number) ?
  1.    1
  2.    2
  3.    3
  4.    4
 Discuss Question
Answer: Option B. -> 2
Question 314. If $$\frac{a}{{q - r}}$$  = $$\frac{b}{{r - p}}$$  = $$\frac{c}{{p - q}}{\text{,}}$$   find the value of pa + qb + rc is?
  1.    0
  2.    21
  3.    2
  4.    -6
 Discuss Question
Answer: Option A. -> 0
Question 315. If $${\left( {a + \frac{1}{a}} \right)^2} = 3{\text{,}}$$    the value of $${a^3} + \frac{1}{{{a^3}}}$$   = ?
  1.    0
  2.    $$3\left( {a + \frac{1}{a}} \right)$$
  3.    $$3\left( {{a^2} + \frac{1}{{{a^2}}}} \right)$$
  4.    1
 Discuss Question
Answer: Option A. -> 0
Question 316. If $$\frac{{{a^2} + {b^2}}}{{{c^2}}}$$  = $$\frac{{{b^2} + {c^2}}}{{{a^2}}}$$  = $$\frac{{{c^2} + {a^2}}}{{{b^2}}}$$  = $$\frac{1}{k}{\text{,}}$$ $$\left( {k \ne 0} \right)$$   then k = ?
  1.    2
  2.    1
  3.    0
  4.    $$\frac{1}{2}$$
 Discuss Question
Answer: Option D. -> $$\frac{1}{2}$$
Question 317. If $$2x + \frac{2}{{9x}} = 4{\text{,}}$$   then the value of $$27{x^3} + \frac{1}{{27{x^3}}}$$   is?
  1.    180
  2.    198
  3.    234
  4.    252
 Discuss Question
Answer: Option B. -> 198
Question 318. If $$\frac{{{\text{ }}{x^2} + 1}}{{{x^2}}} = 2{\text{,}}$$   then the value of $$\frac{{x - 1}}{x}$$  is?
  1.    -2
  2.    0
  3.    1
  4.    -1
 Discuss Question
Answer: Option B. -> 0
Question 319. If pq(p + q) = 1, then the value of $$\frac{1}{{{p^3}{q^3}}}$$  - $${p^3}$$ - $${q^3}{\text{,}}$$  is equal to?
  1.    1
  2.    2
  3.    3
  4.    4
 Discuss Question
Answer: Option C. -> 3
Question 320. If p3 - q3 = (p - q){(p + q)2 - xpq}, then the value of x is?
  1.    1
  2.    -1
  3.    2
  4.    -2
 Discuss Question
Answer: Option A. -> 1

Latest Videos
Chapter 1 - GLOBAL STEEL SCENARIO & INDIAN STEEL INDUSTRY Part 1 : (13-04-2024) INDUSTRY AND COMPANY AWARENESS (ICA)
Direction Sense Test Part 1 Reasoning (Hindi)
Chapter 1 - RMHP / OHP / OB & BP Part 1 : (14-02-2024) GPOE
Cube & Cuboid Part 1 Reasoning (Hindi)
Data Interpretation (DI) Basic Concept Reasoning (Hindi)
Counting Figures Part 1 Counting Of Straight Lines Reasoning (Hindi)
Sail E0 free webinar Webinars
Real Numbers Part 7 Class 10 Maths
Real Numbers Part 1 Class 10 Maths
Polynomials Part 1 Class 10 Maths

Latest Test Papers

Pie Chart - Test Paper 1 Data Interpretation Reasoning & DI
Tabulation - Test Paper 2 Data Interpretation Reasoning & DI
Test Paper 1 Direction Sense Test Reasoning & DI
ICA , RDIC,GFM Free Modal Test Paper - Non - Technical Branch Old Syllabus 2022 - SAIL Junior Officer E0
GFM Combined 1 Free Revision Test SAIL JO E-0