Sail E0 Webinar

Quantitative Aptitude

SURDS AND INDICES MCQs

Surds & Indices, Indices And Surds, Power

Total Questions : 753 | Page 6 of 76 pages
Question 51. The value of [(10)150 ÷ (10)146]
  1.    1000
  2.    10000
  3.    100000
  4.    106
  5.    None of these
 Discuss Question
Answer: Option B. -> 10000
Question 52. $$\frac{1}{{1 + {x^{\left( {b - a} \right)}} + {x^{\left( {c - a} \right)}}}}$$    $$ + \frac{1}{{1 + {x^{\left( {a - b} \right)}} + {x^{\left( {c - b} \right)}}}}$$    $$ + \frac{1}{{1 + {x^{\left( {b - c} \right)}} + {x^{\left( {a - c} \right)}}}} = ?$$
  1.    0
  2.    1
  3.    xa - b - c
  4.    None of these
 Discuss Question
Answer: Option B. -> 1
Question 53. (25)7.5 × (5)2.5 ÷ (125)1.5 = 5?
  1.    8.5
  2.    13
  3.    16
  4.    17.5
  5.    None of these
 Discuss Question
Answer: Option B. -> 13
Question 54. (0.04)-1.5 = ?
  1.    25
  2.    125
  3.    250
  4.    625
 Discuss Question
Answer: Option B. -> 125
Question 55. $$\frac{{{{\left( {243} \right)}^{n/5}} \times {3^{2n + 1}}}}{{{9^n} \times {3^{n - 1}}}} = ?$$
  1.    1
  2.    2
  3.    9
  4.    3n
 Discuss Question
Answer: Option C. -> 9
Question 56. $$\frac{1}{{1 + {a^{\left( {n - m} \right)}}}} + \frac{1}{{1 + {a^{\left( {m - n} \right)}}}} = ?$$
  1.    0
  2.    $$\frac{1}{2}$$
  3.    1
  4.    am + n
 Discuss Question
Answer: Option C. -> 1
Question 57. If m and n are whole numbers such that mn = 121, the value of (m - 1)n + 1 is:
  1.    1
  2.    10
  3.    121
  4.    1000
 Discuss Question
Answer: Option D. -> 1000
Question 58. If $$x = 3 + 2\sqrt 2 ,$$    then the value of $$\left( {\sqrt x - \frac{1}{{\sqrt x }}} \right)$$   is:
  1.    1
  2.    2
  3.    $$2\sqrt 2 $$
  4.    $$3\sqrt 3 $$
 Discuss Question
Answer: Option B. -> 2
Question 59. $${\left( {\frac{{{x^b}}}{{{x^c}}}} \right)^{\left( {b + c - a} \right)}}.$$   $${\left( {\frac{{{x^c}}}{{{x^a}}}} \right)^{\left( {c + a - b} \right)}}.$$   $${\left( {\frac{{{x^a}}}{{{x^b}}}} \right)^{\left( {a + b - c} \right)}}$$   = ?
  1.    xabc
  2.    1
  3.    xab + bc + ca
  4.    xa + b + c
 Discuss Question
Answer: Option B. -> 1
Question 60. Simplify : $$\left( {\frac{{\frac{3}{{2 + \sqrt 3 }} - \frac{2}{{2 - \sqrt 3 }}}}{{2 - 5\sqrt 3 }}} \right) = ?$$
  1.    $$\frac{1}{2} - 5\sqrt 3 $$
  2.    2 - $$5\sqrt 3 $$
  3.    1
  4.    0
 Discuss Question
Answer: Option C. -> 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