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Quantitative Aptitude

LOGARITHM MCQs

Logarithms

Total Questions : 289 | Page 5 of 29 pages
Question 41. If log10 2 = 0.3010, then log2 10 is equal to:
  1.    $$\frac{{699}}{{301}}$$
  2.    $$\frac{{1000}}{{301}}$$
  3.    0.3010
  4.    0.6990
 Discuss Question
Answer: Option B. -> $$\frac{{1000}}{{301}}$$
Question 42. If log10 2 = 0.3010, the value of log10 80 is:
  1.    1.6020
  2.    1.9030
  3.    3.9030
  4.    None of these
 Discuss Question
Answer: Option B. -> 1.9030
Question 43. If $${\log _{10}}5 + {\log _{10}}\left( {5x + 1} \right)$$     = $${\log _{10}}$$ $$\left( {x + 5} \right)$$ $$\, + $$ $$1,$$ then x is equal to :
  1.    1
  2.    3
  3.    5
  4.    10
 Discuss Question
Answer: Option B. -> 3
Question 44. The value of $${\frac{1}{{{{\log }_3}60}} + }$$  $${\frac{1}{{{{\log }_4}60}} + }$$  $${\frac{1}{{{{\log }_5}60}}}$$   is :
  1.    0
  2.    1
  3.    5
  4.    60
 Discuss Question
Answer: Option B. -> 1
Question 45. If log 2 = 0.30103, the number of digits in 264 is:
  1.    18
  2.    19
  3.    20
  4.    21
 Discuss Question
Answer: Option C. -> 20
Question 46. If $${\log _x}\left( {\frac{9}{{16}}} \right) = - \frac{1}{2},$$    then x is equal to:
  1.    $$ - \frac{3}{4}$$
  2.    $$\frac{3}{4}$$
  3.    $$\frac{{81}}{{256}}$$
  4.    $$\frac{{256}}{{81}}$$
 Discuss Question
Answer: Option D. -> $$\frac{{256}}{{81}}$$
Question 47. If ax = by, then:
  1.    $$\log \frac{a}{b} = \frac{x}{y}$$
  2.    $$\frac{{\log a}}{{\log b}} = \frac{x}{y}$$
  3.    $$\frac{{\log a}}{{\log b}} = \frac{y}{x}$$
  4.    None of these
 Discuss Question
Answer: Option C. -> $$\frac{{\log a}}{{\log b}} = \frac{y}{x}$$
Question 48. If logx y = 100 and log2 x = 10, then the value of y is:
  1.    210
  2.    2100
  3.    21000
  4.    210000
 Discuss Question
Answer: Option C. -> 21000
Question 49. The value of log2 16 is:
  1.    $$\frac{1}{8}$$
  2.    4
  3.    8
  4.    16
 Discuss Question
Answer: Option B. -> 4
Question 50. The value of $${\log _5}\frac{{\left( {125} \right)\left( {625} \right)}}{{25}}$$    is equal to -
  1.    725
  2.    5
  3.    3125
  4.    6
 Discuss Question
Answer: Option B. -> 5

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