JEE Advanced
- Exam
- JEE Advanced
- Subject
- Mathematics
- Chapter
- Basics of Mathematics
JEE Advanced · Mathematics · Basics of Mathematics
Paragraph: Let a denotes number of digits in 2^ 50 , b denotes...
Paragraph:
Let denotes number of digits in denotes number of zero's after decimal and before first significant digit in and denotes number of natural numbers have characteristic 3 with base 5 , then (Given: and )Question:
Number of factors of the number are:
Options
- A2
- B3
- C4
- D6
Correct answer
C. 4
Step-by-step solution
Number of digits in integral part of Number of zero's in integral part of \left(-50 \log _{10} 3\right) \mid=233 \leq \log _5 N < 4125 \leq N < 625 \quad \Rightarrow \quad c=500c-(a \times b)=500-16 \times 23=132c=500 \Rightarrow=5a+b=39