Aptitude - Logarithm

Why Aptitude Logarithm?

In this section you can learn and practice Aptitude Questions based on "Logarithm" and improve your skills in order to face the interview, competitive examination and various entrance test (CAT, GATE, GRE, MAT, Bank Exam, Railway Exam etc.) with full confidence.

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Where can I get Aptitude Logarithm Interview Questions and Answers (objective type, multiple choice)?

Here you can find objective type Aptitude Logarithm questions and answers for interview and entrance examination. Multiple choice and true or false type questions are also provided.

How to solve Aptitude Logarithm problems?

You can easily solve all kind of Aptitude questions based on Logarithm by practicing the objective type exercises given below, also get shortcut methods to solve Aptitude Logarithm problems.

Exercise :: Logarithm - General Questions

1. 

Which of the following statements is not correct?

A. log10 10 = 1
B. log (2 + 3) = log (2 x 3)
C. log10 1 = 0
D. log (1 + 2 + 3) = log 1 + log 2 + log 3

Answer: Option B

Explanation:

(a) Since loga a = 1, so log10 10 = 1.

(b) log (2 + 3) = log 5 and log (2 x 3) = log 6 = log 2 + log 3

      log (2 + 3) log (2 x 3)

(c) Since loga 1 = 0, so log10 1 = 0.

(d) log (1 + 2 + 3) = log 6 = log (1 x 2 x 3) = log 1 + log 2 + log 3.

So, (b) is incorrect.


2. 

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

A. 2.870
B. 2.967
C. 3.876
D. 3.912

Answer: Option C

Explanation:

log5 512
= log 512
log 5
= log 29
log (10/2)
= 9 log 2
log 10 - log 2
= (9 x 0.3010)
1 - 0.3010
= 2.709
0.699
= 2709
699
= 3.876

3. 

log 8 is equal to:
log 8

A.
1
8
B.
1
4
C.
1
2
D.
1
8

Answer: Option C

Explanation:

log 8 = log (8)1/2 = log 8 = 1 .
log 8 log 8 log 8 2

4. 

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

A. 0.934
B. 0.945
C. 0.954
D. 0.958

Answer: Option C

Explanation:

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.


5. 

If log a + log b = log (a + b), then:
b a

A. a + b = 1
B. a - b = 1
C. a = b
D. a2 - b2 = 1

Answer: Option A

Explanation:

log a + log b = log (a + b)
b a

log (a + b) = log a x b = log 1.
b a

So, a + b = 1.