Question:
How many perfect squares lie between 5,000 and 15,000 (both excluded)?
5,000 और 15,000 के बीच (दोनों को छोड़कर) कितने पूर्ण वर्ग स्थित हैं?
Options:
- 51
- 52
- 53
- 50
- 51
- 52
- 53
- 50
Correct Answer: b)
Explanation:
\(\sqrt{5000} \approx 70.71 \implies\) first integer is 71 (\(71^2 = 5041\)).
\(\sqrt{15000} \approx 122.47 \implies\) last integer is 122 (\(122^2 = 14884\)).
Number of perfect squares = \(122 – 71 + 1 = 52\).
\(\sqrt{5000} \approx 70.71 \implies\) पहला पूर्णांक 71 है (\(71^2 = 5041\))।
\(\sqrt{15000} \approx 122.47 \implies\) अंतिम पूर्णांक 122 है (\(122^2 = 14884\))।
पूर्ण वर्गों की संख्या = \(122 – 71 + 1 = 52\)।