csat-suneung 2009 Q27

csat-suneung · South-Korea · csat__math-humanities 3 marks Laws of Logarithms Characteristic and Mantissa of Common Logarithms

For a natural number $n$, let $f ( n )$ be the mantissa of $\log n$. What is the number of elements in the set
$$A = \{ f ( n ) \mid 1 \leqq n \leqq 150 , n \text { is a natural number } \}$$
? [3 points]
(1) 131
(2) 133
(3) 135
(4) 137
(5) 139

For a natural number $n$, let $f ( n )$ be the mantissa of $\log n$. What is the number of elements in the set

$$A = \{ f ( n ) \mid 1 \leqq n \leqq 150 , n \text { is a natural number } \}$$

? [3 points]\\
(1) 131\\
(2) 133\\
(3) 135\\
(4) 137\\
(5) 139

Paper Questions

Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15 Q16 Q17 Q18 Q19 Q20 Q21 Q22 Q23 Q24 Q25 Q26 Q27