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 × (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) ⇒ 60n + 1500 = n² + 5n ⇒ n² - 55n - 1500 = 0 ⇒ n² + 20n - 75n - 1500 = 0 ⇒ n(n + 20) - 75(n + 20) = 0 ⇒ (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.
Which of the following is the last (seventh) sentence of the passage?
Which of the following represents the correct order of the sentences at the two extremes?
Given below are four sentences, which are jumbled. Pick the option that gives the correct order.
P - Raju was deeply affected by a rail accident ...
Given below are six sentences. A and F are the first and the last sentences. The rest of the sentences namely B, C, D and E are jumbled. Select the opt...
Given below are four jumbled sentences. Select the option that gives their correct order forming a meaningful and coherent paragraph.
A-many peop...
- Choose the most logical order of sentences from among the four given choices to construct a coherent paragraph.
A. These fluctuations are often cau... Given below are four jumbled sentences. Select the option that gives their correct order.
A. He was possessed by an overwhelming desire to poss...
Choose the appropriate option to arrange the sentences in the correct order to form a meaningful paragraph.
A-To defend conservative values,
...A special court in Myanmar’s capital sentenced (A)/the country’s ousted leader, Aung San Suu Kyi, (B)/to four years in prison after finding she guil...
Which sentence should come first in the paragraph?
Relevant for Exams:
