How many Pens does Shakti have ?I.Shakti has 3 pens more than what Gov...
Solution:
Given, Shakti, Govind, Mani, and Sarvesh have pens.
We need to find the number of pens Shakti has.
Statement I: Shakti has 3 pens more than what Govind has.
This statement alone is not sufficient to find the number of pens Shakti has, as we don't know how many pens Govind has.
Statement II: Mani has 7 pens which are 5 more than what Sarvesh has and 2 less than what Govind has.
This statement alone is not sufficient to find the number of pens Shakti has, as we don't know how many pens Sarvesh has.
Statements I and II together:
From statement I, we know that Shakti has 3 more pens than Govind.
From statement II, we know that Mani has 5 more pens than Sarvesh and 2 less pens than Govind.
Let the number of pens Govind has be x.
Then, from statement I, we know that Shakti has x+3 pens.
And from statement II,
- Govind has x pens
- Mani has x-2 pens
- Sarvesh has (x-7-5) = (x-12) pens
Therefore, we can write:
- Shakti has (x+3) pens
- Govind has x pens
- Mani has (x-2) pens
- Sarvesh has (x-12) pens
So, we can see that the data in both the statements I and II together are necessary to find the number of pens Shakti has.
Hence, the correct option is (E).