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A man spent on each day of his tour an amount in rupees equal to the number of days he was away. If the total tour cost was ₹1296, how many days did he tour?
A{'text': '24'}
B{'text': '36'}
C{'text': '30'}
D{'text': '42'}
Answer & Solution
Correct answer: B. {'text': '36'}
1. Let n = number of days. Then daily spend is ₹n and total = n × n = n² rupees.
2. Given n² = 1296.
3. Take square root: n = √1296.
4. Factorise 1296 = 2⁴ × 3⁴, so √1296 = 2² × 3² = 4 × 9 = 36.
5. Hence n = **36** days.
_Source: Selina Concise ICSE Class 8 Mathematics Ch 3 "Squares and Square Roots", Word problems_
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