| Directions: In each of the given questions, one question and two statements numbered I and II are given. You have to decide whether the data given in both the statements are, sufficient to answer the question or not. Read both the statements and give answer. [IBPS (SO) IT 2015] |
| By how many years is Rasika younger than her brother Sunil? |
| I. Ratio between Rasika's present age and Sunil's age after four years is 5: 7 respectively. |
| II. Ratio between Rasika's age four years ago and Sunil's present age is 2: 3 respectively. |
A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
B) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
C) If the data either in statement I alone or in statement II alone are sufficient to answer the question
D) If the data in both the statements I and II together are not sufficient to answer the question If the data in both the statements I and II together are necessary to answer the question
Correct Answer: D
Solution :
| \[\frac{\text{Rasika }\!\!'\!\!\text{ s}\,\text{present}\,\text{age}}{\text{Sunil }\!\!'\!\!\text{ s}\,\text{present}\,\text{age+4}}\text{=}\frac{\text{5}}{\text{7}}\] (i) |
| (Rasika's age - 4): Sunil's present age = 2: 3 (ii) |
| \[\text{=}\,\,\frac{R}{S+4}=\frac{5}{7}\]\[\Rightarrow \]\[7R=5S+20\] |
| \[\Rightarrow \] \[7R-5S=20\] (iii) |
| \[\frac{R-4}{S}\,\,=\,\,\frac{2}{3}\]\[\Rightarrow \]\[3R-12=2S\] |
| \[\Rightarrow \] \[3R=2S+12\] (iv) |
| By solving Eqs. (i) and (ii), we get |
| R = 20 and S = 24 |
| So, Rasika is 4 yr younger than her brother Sunil. |
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