Question
A container has a mixture of juice and soda in the ratio
4:1. If half of the mixture is removed and replaced by 15 litres of soda, the resulting ratio of juice to soda becomes 8:7. What was the original quantity of the mixture?Solution
ATQ,
Let the initial quantity of the mixture = ‘2x’ litres Then, quantity of the mixture left after removing half = ‘x’ litres In ‘x’ litres of mixture, let quantity of juice = ‘4y’ litres In ‘x’ litres of mixture, let quantity of soda = ‘1y’ litres According to the question, 4y / (y + 15) = 8/7 ⇒ 7 × 4y = 8 × (y + 15) ⇒ 28y = 8y + 120 ⇒ 20y = 120 ⇒ y = 6 So, x = 4y + y = 5y = 5 × 6 = 30 litres Initial quantity of the mixture = 2x = 2 × 30 = 60 litres
Statements: Q > M > Y < N = H ≥ S < V < R ≤ K
Conclusion
I: K > Y
II: N > S
Statements: I ≥ E = S > J < N > V > Q ≤ O
Conclusion
I: I > S
II: Q < N
In the following question the relationship between different elements is given in the statements followed by three conclusions I, II and III. Read the...
Which of the following would replace @ and & respectively in the following expression such that ‘O > A’ is definitely true?
U = O > W # B ≤...
In the question, assuming the given statements to be true, find which of the conclusion (s) among given three conclusions is /are definitely true and t...
In the following question the relationship between different elements is given in the statements followed by three conclusions I, II and III. Read the...
Statements:Q ≥ R,R < S,S < T
Conclusions: I. T > R II. Q ≥ T
In the following question the relationship between different elements is given in the statements followed by two conclusions I and II. Read the stateme...
In the question, assuming the given statements to be true, find which of the conclusion (s) among given three conclusions is/are definitely true and th...
Statements: A > B; C > D; E ≥ A; F = C; C < B
Conclusions:
(i) B > D (ii) A > F (iii) F < E
...
Relevant for Exams:
