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
Answer the questions based on the information given below.
A & B means A is greater than B
A * B means A is not greater than B
A ...
Statements: M % N, N & A, A @ B, B # C
Conclusions: I. C & AÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â II. M # B
...Statements: R > S > T ≥ U; Q ≥ R; W = V < U
Conclusions:
I. S > Q
II. W < T
III. Q > W
In the following question the relationship between different elements is given in the statements followed by three conclusions I, II and III. Read the...
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 ...
Statements:
N < P ≤ I = O; P ≥ J ≥ K ≥ W; Z ≤ M ≤ W
Conclusions:
I) O > Z
II) O = Z
...Statements: M $ K; K & N, N % R, R @ W
Conclusions:Â Â Â Â Â
I. W & KÂ Â Â Â Â Â Â Â
II. K & WÂ Â Â Â Â Â Â Â Â Â Â Â ...
Statements: I ≥ E = S > J < N > V > Q ≤ O
Conclusion
I: I > S
II: Q < N
In the question, assuming the given statements to be true, find which of the conclusion (s) among given two conclusions is /are definitely true and the...
Statements: F > V > W ≥ L > G; F ≤ O = M < I
Conclusions: I. M > LÂ Â Â II. V < I
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