| Directions: The following questions are accompanied by three statements I, II and III. You have to determine which statement(s) is/are sufficient/necessary to answer the given question. |
| I. Raunak is six years older than Sachin. |
| II. The ratio of Raunak's present age to Sachin's is\[3:2\]. |
| III. The difference between the age of Raunak and that of Vishal is 6 years. |
A) Only III
B) Only I and II
C) Only II
D) Only II and III
E) All together are necessary
Correct Answer: B
Solution :
From I. Let Sachin's present age be\[x\]years. \[\therefore \]Raunak's present age is \[(x+6)\] years. F'rom II. \[\frac{x+6}{x}=\frac{3}{2}\] or,\[2x+12=3x\] \[\therefore \]\[x=12\] Hence Sachin's age 5 years ago \[=12-5=7\] years Thus, from I and II, we can find the age of Sachin.
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