Question
The question consists of two statements numbered "I and
II" given below it. You have to decide whether the data provided in the statements are suicient to answer the question. A mixture consists of 25 litres of water and 'n' litres of honey. Determine the total volume of the mixture. Statement I: After adding (n - 50) litres of water to the mixture, the ratio of honey to water becomes 3:2. Statement II: After removing 20 litres from the mixture, the amount of honey left is 60 litres.Solution
ATQ,
Total volume of the mixture = (n + 25) litres Statement I: (25 + n - 50) : n = 2 : 3 => 3 ├Ч (n - 25) = 2n => 3n - 75 = 2n => n = 75 Total volume of the mixture = 75 + 25 = 100 litres Hence, Statement I alone provides enough data to answer the question. Statement II: Initial ratio of milk to the total mixture = n / (n + 25) After removing 20 litres of mixture: Remaining volume = n + 5 litres Remaining quantity of milk = 60 litres New milk ratio = 60 / (n + 5) So, n / (n + 25) = 60 / (n + 5) тЗТ 60n + 1500 = n┬▓ + 5n тЗТ n┬▓ - 55n - 1500 = 0 тЗТ n┬▓ + 20n - 75n - 1500 = 0 тЗТ n(n + 20) - 75(n + 20) = 0 тЗТ (n - 75)(n + 20) = 0 So, n = 75 (since n cannot be negative) Total volume = 75 + 25 = 100 litres Thus, Statement II alone is also sufficient. Final Conclusion: Either Statement I alone or Statement II alone is sufficient to determine the total quantity of the mixture.
рд░рд╛рдЬрднрд╛рд╖рд╛ рд╡рд┐рднрд╛рдЧ рдХреА рд╕реНрдерд╛рдкрдирд╛ рдХрдм рдХреА рдЧрдИ рдереА ?
The bid amount should be remitted into the cash branch of the office.
рдЕрдкрдиреЗ рдкрд░реНрдпрд╛рд╡рд░рдг рдХреЗ рдмрд╛рд░реЗ рдореЗрдВ рдЕрдзреНрдпрдпрди рддрдм рддрдХ рдЕрдзреВрд░рд╛ рд╣реИ рдЬрдм рддрдХ рдЙрд╕рдореЗя┐╜...
The following Hindi sentences are followed by four different ways in which they can be paraphrased in English language. Identify the sentence...
Catalogue рдХрд╛ рд╣рд┐рдВрджреА рдкрд░реНрдпрд╛рдп рдЗрдирдореЗрдВ рд╕реЗ рдХреМрди рд╕рд╛ рд╢рдмреНрдж рдирд╣реА рд╣реИ ?
рдЗрдирдореЗ рд╕реЗ рдХреНрдпрд╛ ‘рдЕрд╢реЛрдШреНрдп рдЛрдг ’ рдХрд╛ рд╕рд╣реА рдЕрдВрдЧреНрд░реЗрдЬреА рдкрд░реНрдпрд╛рдп рд╣реИ?
Destroying public property is a cognizable offence.
рдирд┐рдореНрдирд▓рд┐рдЦрд┐рдд рд╢рдмреНрджреЛрдВ рдореЗрдВ рд╕реЗ over valuation рдХрд╛┬а рдкрд░реНрдпрд╛рдп┬а рд╣реИ┬а
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рдирд┐рдореНрдирд▓рд┐рдЦрд┐рдд рд╡рд┐рдХрд▓реНрдкреЛрдВ┬а рдореЗрдВ рд╕реЗ speculative рдХрд╛ рдкрд░реНрдпрд╛рдп рдирд╣реАрдВ рд╣реЛрдЧрд╛редя┐╜...