Instructions

In these questions, a question is given followed by information in three statements. You have to consider the information in all the three statements and decide the information in which of the Statement(s) is not necessarily required to answer the question and therefore can be dispensed with. Indicate your answer accordingly.

Question 103

What is Suchitra’s present age ?
I. Suchitra’s present age is double the age of her son.
II. Ratio between present ages of Suchitra and her mother is 2 : 3 respectively.
III. Four years hence the ratio between `Suchitra’s age and her son’s age will be 24 : 13 respectively.

Solution

From I & III : Let Suchitra's son's age = $$x$$ years

=> Suchitra's age = $$2x$$ years

After 4 years

=> $$\frac{2x + 4}{x + 4} = \frac{24}{13}$$

=> $$26x + 52 = 24x + 96$$

=> $$26x - 24x = 96 - 52$$

=> $$x = \frac{44}{2} = 22$$ years

$$\therefore$$ Suchitra's present age = $$2 \times 22 = 44$$ years

Thus, statement II is redundant.


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