Ages Ratio and Mixture Replacement Statements
CMAT 2023 · Quantitative Techniques & Data Interpretation · Medium · Ratios
Given below are two statements : Statement I: The ratio of the son's age to the father's age is 1 : 5. The product of their ages is 245. The ratio of the son's age to the father's age after 9 years will be 3 : 5. Statement II: A milkman adds 30 litres of water to 70 litres of milk. After selling 1/5th of the total quantity, he adds water equal to the quantity he sold. The proportion of water to milk he sells now would be 28 : 72. In the light of the above statements, choose the correct answer from the options given below.
- A.
Both Statement I and Statement II are true
- B.
Both Statement I and Statement II are false
- C.
Statement I is true but Statement II is false
- D.
Statement I is false but Statement II is true
B
Explanation
Statement I: . Ages are 7 and 35. After 9 years: 16 and 44, ratio is . (False)
Statement II: Initial ratio W:M = 30:70 = 3:7. After selling 1/5th, 80L remains (24L W, 56L M). Adding 20L water gives 44L W, 56L M. Ratio of water to milk is . (False)
Both statements are false.
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