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Test: Logarithm- 5


15 Questions MCQ Test Quantitative Aptitude (Quant) | Test: Logarithm- 5


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Attempt Test: Logarithm- 5 | 15 questions in 15 minutes | Mock test for CAT preparation | Free important questions MCQ to study Quantitative Aptitude (Quant) for CAT Exam | Download free PDF with solutions
QUESTION: 1

Solution:

QUESTION: 2

If log 2 = .301, find the number of digits in (125)25.

Solution:

logy = 25 log 125

= 25 [log 1000 - 3 log 2]

= 25 x (2.097)

= 52 +
Hence 53 digits.

QUESTION: 3

Solution:

(75/35) x (49/25) x (jc/105) x (25/13) = 1 ⇒ x = 13

QUESTION: 4

Which one of the following is true
Solution:

QUESTION: 5

Solution:

x = (16/15) x (255/245) x (813/803) None of these is correct.

QUESTION: 6

Find the value of the logarithmic expression in the questions below.
Solution:

log (anbncn/anbncn) = log 1 = 0

QUESTION: 7

Solution:

QUESTION: 8

 log2 (9 - 2X) = 10log (3-x) Solve for x.
Solution:

For x = 0, we have LHS

Log2 8 = 3.
RHS: 10log3 = 3.
We do not get LHS = RHS for either x = 3 or x = 6.

Thus, option (a) is correct.

QUESTION: 9

Which one of the following is true
Solution:

QUESTION: 10

log (x - 13) + 3 log 2 = log (3x + 1)
Solution:

QUESTION: 11

log . 0867 = ? 
Solution:

Log 0.0867 = log (8.67/100) = log 8.67 - log 100 Log 8.67 - 2

QUESTION: 12

log3x = 1/2
Solution:

x = 31/2 = √3 .

QUESTION: 13

If log10a = b, find the value of 103b in terms of a.
Solution:

log10a = b ⇒ 10b = a ⇒ By definition of logs.

Thus 103b = (10b)3 = a3.

QUESTION: 14

log (x2 - 6x + 6) = 0 
Solution:

QUESTION: 15

 Find x If  logx = log 1.5 + log 12
Solution:

log x = log 18 ⇒ x = 18

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