You’re given three statements (I, II, and III). Based

Solution

ATQ, Let the quantity of Zinc and Hydrogen in Flask 'P' be '3x' litre and '2x' litres respectively. Statement I: Initial quantity of mixture in Flask 'Q' = (5x - 150) litres But we cannot determine the value of 'x'. So, data in statement I alone is not sufficient to answer the question. Statement II: No, information about quantity of Zinc and Hydrogen in vessel 'Q' So, data in statement II alone is not sufficient to answer the question. Statement III: The initial quantity of Hydrogen in Flask 'Q' = (2x - 110) litres But we do not have any information about the quantity of Zinc in Flask 'Q' and so the total quantity of mixture in Flask 'Q'. So, data in statement III alone is not sufficient to answer the question. Combining data in statements I and II together: Total quantity of Zinc and Hydrogen in Flask 'P' = 3x + 2x = 5x litres Initial quantity of mixture in Flask 'Q' = (5x - 150) litres Difference in quantities of Hydrogen = 175% more than difference in quantities of Zinc Let the difference between the quantities of Zinc in Flasks 'P' and 'Q' = 4y litres Then, difference between the quantities of Hydrogen in Flasks 'P' and 'Q' = 4y + 4y X 1.75 = 11y litres So, in Flask 'Q', quantity of Zinc and quantity of Hydrogen is (3x - 4y) litres and (2x - 11y) litres respectively. So, we have, (5x - 150) = 3x - 4y + 2x - 11y = (5x - 15y) So, 15y = 150 Or, y = (150/15) = 10 But we cannot determine the value of 'x' and hence the quantity of mixture in Flask 'Q'. So, data in statements I and II together are not sufficient to answer the question. Combining data in statements II and III together: Quantity of Zinc in 'Q' = (3x - 4y) Quantity of Hydrogen in 'Q' = (2x - 11y) We have, 2x - 11y = 2x - 110 So, y = (110/11) = 10 But we cannot determine the value of 'x' and hence the total quantity of mixture in Flask 'Q'. So, data in statements II and III together are not sufficient to answer the question. Combining data in statements I and III together: Total quantity of mixture in Flask 'Q' = (5x - 150) litres Quantity of Hydrogen in Flask 'Q' = (2x - 110) litres So, quantity of Zinc in Flask 'Q' = (5x - 150) - (2x - 110) = (3x - 40) litres But we cannot determine the value of 'x' and hence the quantity of mixture in Flask 'Q'. So, data in statements I and III together are not sufficient to answer the question. Combination data in all three statements I, II and III together: Total quantity of mixture in Flask 'Q' = (5x - 150) litres - [from I] Quantity of Zinc in Flask 'Q' = (3x - 40) litres - [From II and III] Quantity of Hydrogen in Flask 'Q' = (2x - 110) litres - [From III] So, we have, (3x - 40) + (2x - 110) = (5x - 150) Or, 5x - 150 = 5x - 150 We are unable to determine the value of 'x' and hence the quantity of mixture in Flask 'Q'. So, data in all three statements I, II and III together is NOT sufficient to answer the question.