Question
1.
2.
3.
4.
Answer (Detailed Solution Below)
Option 1 : $31$
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Detailed Solution
सही उत्तर $31$ है।
Key Points
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prepsnap.in • Part -AQuestion:
Given that $\log_{10} 2 = 0.3010$, how many digits does the number $4^{50}$ have? / दिया है कि $\log_{10} 2 = 0.3010$; संख्या $4^{50}$ में कितने अंक होंगे?
1.
$31$
2.
$30$
3.
$32$
4.
$29$
Correct Answer: $31$
$\log_{10}(4^{50}) = 50\log_{10}4 = 50\times2\times0.3010 = 30.10$. The number of digits is $\lfloor 30.10 \rfloor + 1 = 31$. / लॉग मान $30.10$; अंकों की संख्या $31$। Option (b) is the trap of rounding down $\lfloor 30.10 \rfloor = 30$ without adding 1.
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