In this section, the following topics are discussed with example

Data interpretation is a topic that comes under reasoning, which uses almost all the concepts of quants.

The data interpretation may generally be given in the following format:

- Table Charts
- Pie Charts
- Bar Charts &
- Line Charts

Also, the solving procedures and the formulae that are going to be used may vary as per the questions asked, like percentage, average, ratio and proportion, …..etc.

### Aptitude Tricks Used

- Percentage
- Ratios
- Time, Speed and Distance
- Average

## No problem can withstand the assault of sustained thinking.

VOLTAIRE

CATEGORY OF ASSISTANCE | AVERAGE NUMBER RECEIVING PER MONTH | TOTAL COST PER HELP YEAR(IN CRORES OF RS.) | COST PAID BY CENTRE FOR THE YEAR(IN CRORES OF RS.) | |||
---|---|---|---|---|---|---|

1995 | 1996 | 1995 | 1996 | 1995 | 1996 | |

A | 36097 | 38263 | 38.4 | 34.8 | 18.4 | 17.4 |

B | 6632 | 5972 | 5.0 | 3.2 | 2.6 | 1.6 |

C | 32545 | 31804 | 76.4 | 59.4 | 13.0 | 10.0 |

D | 13992 | 11782 | 26.4 | 42.6 | 6.6 | 10.6 |

E | 21275 | 228795 | 216.6 | 242.8 | 55.0 | 62.6 |

**1. The category receiving the least percentage help from the center (in the entire data) is:**

(A) Category B in 1995

(C) Category B in 1996

(B) Category C in 1996

(D) Category D in 1995

**Sol:**

In this type of question, it is better to examine the alternatives given rather than trying to find the least percentage from the table.

Let us now calculate the required percentage of the given alternatives:

(A) Category B in I995 =(2.6/5.0)×100=52%

(B) Category C in 1996 was =(10.0/59.4)×100=16.8%

(C) Category B in 1996 =(1.6/3.2)×100=50%

(D) Category D in 1995 =(55.0/216.6)×100=25.4%

From this we arrive at the answer (B) since this is the least percentage.

**Answer: B**

**2. The difference between the average costs paid by the Centre during 1995 and 1996 is**

(A) Rs. 66 lakh

(C) Rs. 132 lakh

(B) Rs. 13.2 crore

(D) Rs. 13.2 lakh

**Sol:**

Adding all the cost figures in the 1995 column, i.e.

18.4+2.6+13.0+6.6+55.0,you get 95.6.

The average in 1995:

=95.6/Number of categories=95.6/5

= Rs. 19.12

Similarly, the average in 1996:

=(17.4+1.6+10.0+10.6+62.6)/5

= Rs. 20.44

The difference = Rs. (20.44−19.12)

= Rs. 1.32 cr

= Rs. 132 lakh

**Answer: C**

**3. Monthly cost to the city receiving E category assistance in 1996 is most nearly:**

(A) Rs. 1.8 crore less than that in 1995

(C) Rs. 2.1 crore less than that in 1995

(B) Rs. 2.1 crore more than that in 1995

(D) Rs. 1.8 crore more than that in 1995

**Sol:**

Here, straight calculation is only needed. We need to look at the total assistance figures.

In 1995: (216.6)/12 = 18.05

In 1996: (242.8)/12 = 20.23

Difference = 2.183 crore ≈ Rs.2.1 crore

**Answer: B**

**4. Monthly costs to the city of category D during 1995 and 1996 bear a ratio (most nearly)**

(A) 2 : 3

(C) 3 : 2

(B) 5 : 3

(D) 3 : 5

**Sol:**

Again, we can straightaway determine the answer through simple calculation.

Since a ratio is required to be calculated, we can avoid the division by 12.

Directly from the table we have, total assistance in 1995 and 1996 for Category D as 26.4 and 42.6.

Hence the ratio is 26.4 : 42.6=3 : 5 nearly.

**Answer: D**

Thus in this section we learned about the concepts of Data Interpretation and about the first type of Data Interpretation question format – The Table Charts. In next section, we will learn about the second type of Data Interpretation question format – The Pie Chart.