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Logarithm - Quant/Math - CAT 2009
Question 4 the day:
May 23, 2003
The question for the day is from the topic of Logarithm.
- How many zeroes are there between the decimal point and the first significant digit in (1/9)200 given log3 = 0.4771?
| (1) |
84 |
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(2) |
85 |
| (3) |
191 |
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(4) |
190 |
Correct Answer - (4)
Solution:
Note: After taking log to the given number if the mantissa part is negative, then the characteristic is equal to the number of zeroes immediately following the decimal point.
Therefore, log (1/9)200 = log (9-200) = -200 log (32) = -400 log (3) = -400(0.4771) = -190.84.
Hence, the number (1/9)200 will have 190 zeroes immediately after the decimal point.
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