## Data Caselets Questions & Systematic Solutions in Data Interpretation

Caselet DI is just a mathematical form of English Comprehension. In Caselet DI, a long paragraph is given and on the basis of that, some questions are asked. In a given paragraph of Caselet DI, lots of information is given.

- You have to read the paragraph carefully and then you have to note down all the key information as short as possible.
- The given information will let you draw some diagrams such as Venn diagram, tabular chart or any other diagram.
- The difference between simple DI and Caselet DI is – In simple DI, information is already given in diagrammatical forms but in Caselet DI, you have to draw a diagram on the basis of given information.

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- How to draw a diagram on the basis of the given information.
- Which diagram is the need for the question?
- Basic knowledge of Venn diagram concept.
- Knowledge of the relationship between fractions and their percentage forms.
- Knowledge of simplification and approximation.
- If the question belongs to CI & SI or Profit & Loss or Speed, time and distance then you must have knowledge of basic formulae of these topics.
- Must have knowledge of Ratio and Proportion.

__To make a few things more clear, let us take a simple question: __

In a college, some students like English, some like Maths and some like Science. Some like both English and Maths but not Science, some like both Maths and Science but not English and Some like both Science and English but not Maths. Some like all three subjects.

The given information can be simply put in a Venn diagram as follow:

- A, B and C are representing the whole circle.
- A means some like English, B means some like Maths and C means some like Science.
- Region D means some like both English and Maths but not Science, region E means some like both Maths and Science but not English and region F means some like both Science and English but not Maths.
- Region G means some like all these three subjects.

After arranging the information in the Venn diagram, we conclude following more information:

- Students who like only English= A- (D+F+G).
- Students who like only Maths = B – (D+E+G).
- Students who like only Science = C – (E+F+G).

Practice more problems so that you may know the different forms of Caselet DI.

**Directions (1-5):** Study the following information carefully and answer the questions given below:

From a school, 500 students appeared in all in an examination consisting of three papers Quant, Reasoning, and English. 52.6% of students passed in Quant, 57% in Reasoning and 50.4% in English. 18% of students passed only in Quant and Reasoning, 10.2% passed only in Quant and English and 8.4% passed in all three papers. The number of girls passed in Paper Quant only is 60% of the number of boys who passed only in Paper Quant. The ratio of the number of boys to the number of girls who passed only in Paper Reasoning is 7: 6. The number of girls who passed in Paper English only is 6% of the total number of students who appeared in the examination.

**Sol:**

z = 263 – (90 + 51 + 42)

263 – 183 = 80

x + k = 285 – (90 + 42) = 153 …….. (i)

y + k = 252 – (51 + 42) = 159 ……… (ii)

x + y + k = 500 – (90 + 42 + 51 + 80) = 273 …….. (iii)

Solving (i), (ii) and (iii)

x = 78, y = 84, k = 75

Let the number of boys who passed in Quant only be a. The number of girls who passed in Quant only will be 3a / 5

So, a + 3a / 5 = 80

So, a = 50

The number of students who passed only in pz is 78 where B: G = 7 : 6 i.e

B + G = 78 …(i)

And 6B = 79 solving these two egrs, B = 42

G = 36

Number of girls who passed only in

English = 6% of 500 6100× 500 = 30

So the number of boys who passed only in

English is 84 – 30 = 54

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- How many students are there who passed in Paper reasoning and English, but failed in Quant?

(1) 60 (2) 75 (3) 80 (4) 90 (5) 120

- What is the difference between the number of boys and the number of girls who passed in Paper Quant only?

(1) 10 (2) 20 (3) 30 (4) 40 (5) 50

- What percentage of students passed only in Paper Reasoning?

(1) 14.2% (2) 15% (3) 15.6% (4) 16% (5) 16.4%

- What is the ratio of the number of students who passed only in Paper Quant and Reasoning to the number of boys who passed only in Paper English?

(1) 5:4 (2) 7:4 (3) 5:3 (4) 9:5 (5) 8:5

- What is the percentage of students who failed in any two papers?

(1) 48.4% (2) 52.6% (3) 54% (4) 57.5% (5) 60%

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