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Quantitative Aptitude

LOGARITHM MCQs

Logarithms

Total Questions : 289 | Page 9 of 29 pages
Question 81. If $${\log _{10}}a = p,$$   $${\log _{10}}b = q,$$   then what is $${\log _{10}}\left( {{a^p}{b^q}} \right)$$   equal to?
  1.    p2 + q2
  2.    p2 - q2
  3.    p2q2
  4.    $$\frac{{{p^2}}}{{{q^2}}}$$
 Discuss Question
Answer: Option A. -> p2 + q2
Question 82. If log 2 = 0.3010 and log 3 = 0.4771, the value of log5 512 is:
  1.    2.870
  2.    2.967
  3.    3.876
  4.    3.912
 Discuss Question
Answer: Option C. -> 3.876
Answer: (c).3.876
Question 83. Which of the following statements is not correct?
  1.    log10 10 = 1
  2.    log (2 + 3) = log (2 x 3)
  3.    log10 1 = 0
  4.    log (1 + 2 + 3) = log 1 + log 2 + log 3
 Discuss Question
Answer: Option B. -> log (2 + 3) = log (2 x 3)
Answer: (b).log (2 + 3) = log (2 x 3)
Question 84. If log (a/b) + log (b/a) = log (a + b), then:
  1.    a + b = 1
  2.    a - b = 1
  3.    a = b
  4.    a^2 - b^2 = 1
 Discuss Question
Answer: Option A. -> a + b = 1
Answer: (a).a + b = 1
Question 85. If log10 7 = a, then log10 (1/70) is equal to:
  1.    - (1 + a)
  2.    (1 + a)-1
  3.    a
    10
  4.    1
    10a
 Discuss Question
Answer: Option A. -> - (1 + a)
Answer: (a).- (1 + a)
Question 86. If log 27 = 1.431, then the value of log 9 is:
  1.    0.934
  2.    0.945
  3.    0.954
  4.    0.958
 Discuss Question
Answer: Option C. -> 0.954
Answer: (c).0.954
Question 87. 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
Answer: (b).1.9030
Question 88. The value of log2 16 is:
  1.    1
    8
  2.    4
  3.    8
  4.    16
 Discuss Question
Answer: Option B. -> 4
Answer: (b).4
Question 89. If log 2 = 0.30103, the number of digits in 2^64 is:
  1.    18
  2.    19
  3.    20
  4.    21
 Discuss Question
Answer: Option C. -> 20
Answer: (c).20
Question 90. If log10 5 + log10 (5x + 1) = log10 (x + 5) + 1, then x is equal to:
  1.    1
  2.    3
  3.    5
  4.    10
 Discuss Question
Answer: Option B. -> 3
Answer: (b).3

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