Sail E0 Webinar

Quantitative Aptitude

LOGARITHM MCQs

Logarithms

Total Questions : 289 | Page 8 of 29 pages
Question 71. If $$\log x - 5\log 3 = - 2,$$     then x equals -
  1.    0.8
  2.    0.81
  3.    1.25
  4.    2.43
 Discuss Question
Answer: Option D. -> 2.43
Question 72. If $$a = {b^2} = {c^3} = {d^4},$$    then the value of $${\log _a}\left( {abcd} \right)$$   would be -
  1.    $${\log _a}1 + {\log _a}2 + {\log _a}3 + {\log _a}4$$      
  2.    $${\log _a}24$$
  3.    $${\text{1 + }}\frac{1}{2} + \frac{1}{3} + \frac{1}{4}$$  
  4.    $${\text{1 + }}\frac{1}{{2!}} + \frac{1}{{3!}} + \frac{1}{{4!}}$$  
 Discuss Question
Answer: Option C. -> $${\text{1 + }}\frac{1}{2} + \frac{1}{3} + \frac{1}{4}$$  
Question 73. If $${\log _3}x + {\log _{9}}{x^2} + {\log _{27}}{x^3}$$     $$ = 9,$$  then x equals to -
  1.    3
  2.    9
  3.    27
  4.    None of these
 Discuss Question
Answer: Option C. -> 27
Question 74. If $${\log _7}{\log _5}\left( {\sqrt {x + 5} + \sqrt x } \right)$$     $$ = 0,$$  what is the value of x ?
  1.    2
  2.    3
  3.    4
  4.    5
 Discuss Question
Answer: Option C. -> 4
Question 75. If $${\text{a}} = {\text{lo}}{{\text{g}}_{\text{8}}}\,{\text{225}}$$   and $${\text{b = lo}}{{\text{g}}_{\text{2}}}\,{\text{15}},$$   then a in terms of b is -
  1.    $$\frac{b}{2}$$
  2.    $$\frac{{2b}}{3}$$
  3.    b
  4.    $$\frac{{3b}}{2}$$
 Discuss Question
Answer: Option B. -> $$\frac{{2b}}{3}$$
Question 76. If $$\log 2 = 0.3010\,$$   and $$\log 3 = 0.4771,\,$$   the value of $${\log _5}512$$   = ?
  1.    2.870
  2.    2.967
  3.    3.876
  4.    3.912
 Discuss Question
Answer: Option C. -> 3.876
Question 77. If the logarithm of a number is - 3.153, what are characteristic and mantissa?
  1.    characteristic = -4, mantissa = 0.847
  2.    characteristic = -3, mantissa = -0.153
  3.    characteristic = 4, mantissa = -0.847
  4.    characteristic = 3, mantissa = -0.153
 Discuss Question
Answer: Option A. -> characteristic = -4, mantissa = 0.847
Question 78. If $$\log 2 = 0.30103,$$    the number of digits in $${4^{50}}$$ is -
  1.    30
  2.    31
  3.    100
  4.    200
 Discuss Question
Answer: Option B. -> 31
Question 79. The number of digits in $${{\text{4}}^9} \times {{\text{5}}^{17}}{\text{,}}$$   when expressed in usual form, is -
  1.    16
  2.    17
  3.    18
  4.    19
 Discuss Question
Answer: Option C. -> 18
Question 80. If $$\log 3\log \left( {{3^x} - 2} \right)\,$$   and $$\log \left( {{3^x} + 4} \right)$$   are in arithmetic progression, then x is equal to
  1.    $$\frac{8}{3}$$
  2.    $$\log {3^8}$$
  3.    $$\log {2^3}$$
  4.    8
 Discuss Question
Answer: Option C. -> $$\log {2^3}$$

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

DSP Combined 1 Free Revision Test SAIL JO E-0
GPOE / GPA Combined 1 Free Revision Test SAIL JO E-0
BSP Plant Specific Review Test SAIL JO E-0
BSL Combined 1 Free Revision Test SAIL JO E-0
GFM Combined 1 Free Revision Test SAIL JO E-0