Test: Logarithm- 1


10 Questions MCQ Test Quantitative Aptitude for Banking Preparation | Test: Logarithm- 1


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QUESTION: 1

Which of the following statements is not correct?

Solution:
  • Since loga a = 1, so log10 10 = 1.
  • log (2 + 3) = log 5 and log (2 x 3) = log 6 = log 2 + log 3 
    ∴ log (2 + 3) ≠ log (2 x 3)
  • Since loga 1 = 0. so logio 1 = 0.
  • log (1 + 2 + 3) = log 6 = log (1 x 2 x 3) = log 1 + log 2 + log 3. 

So. option (b) is incorrect.

QUESTION: 2

If log 2 = 0.3010 and log 3 = 0.4771, the value of log5 512 is:

Solution:



QUESTION: 3

Solution:

QUESTION: 4

If log 27 = 1.431, then the value of log 9 is:

Solution:

Given, log 27 = 1.431
⇒ log (33) = 1.431
⇒ 3 log 3 = 1.431
⇒ log 3 = 0.477
∴ log 9 = log (32) = 2 log 3
⇒ (2 x 0.477) = 0.954

QUESTION: 5

Solution:

QUESTION: 6

If log10 7 = a, then is equal to :

Solution:

⇒ - log10 (7 x 10)
⇒ - (log10 7 + log10 10)
⇒ - (a + 1)

QUESTION: 7

If log10 2 = 0.3010, then log2 10 is equal to:

Solution:

QUESTION: 8

If log10 2 = 0.3010, the value of log10 80 is:

Solution:

log10 80 = log10 (8 x 10)
⇒ log10 8 + log10 10
⇒ log10(23) + 1
⇒ 3 log10 2 + 1
⇒ (3 x 0.3010) + 1
⇒ 1.9030

QUESTION: 9

If log10 5 + log10 (5x + 1) = log10 (x + 5) + 1, then x is equal to:

Solution:

log10 5 + log10 (5x + 1) = log10 (x + 5) + 1

⇒ log10 5 + log10 (5x + 1) = log10 (x + 5) + log10 10

⇒ log10 [5 (5x + 1)] = log10 [10(x + 5)]

⇒ 5(5x + 1) = 10(x + 5)

⇒ 5x + 1 = 2x + 10

⇒ 3x = 9

⇒ x = 3.

QUESTION: 10

The value of is:

Solution:

Given expression = 1/log60 3 + 1/log60 4 + 1/log60 5
= log60 (3 x 4 x 5)
= log60 60
= 1.

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