Data Interpretation questions test one's ability in analysing data, inspecting the elements in data and interpreting them to extract maximum information from the given set of data or information. The data is usually given in the form of charts, tables and graphs.

Practise with our Data Interpretation questions and answers to help you know what to expect, improve your speed and confidence and be really prepared for the actual test.

Two different finance companies declare fixed annual rate of interest on the amounts invested with them by investors. The rate of interest offered by these companies may differ from year to year depending on the variation in the economy of the country and the banks rate of interest. The annual rate of interest offered by the two Companies P and Q over the years are shown by the line graph provided below.

**Annual Rate of Interest Offered by Two Finance Companies Over the Years.**

A.

Rs. 594,550

B.

Rs. 580,425

C.

Rs. 577,800

D.

Rs. 577,500

Correct answer is **B**

Amount received from Company Q after one year on investment of Rs. 5 lakhs in the year 1996

= Rs. [5 + (6.5% of 5)] lakhs

= Rs. 5.325 lakhs.

Amount received from Company P after one year on investment of Rs. 5.325 lakhs in the year 1997

= Rs. [5.325 + (9% of 5.325)] lakhs

= Rs. 5.80425 lakhs

= Rs. 5,80,425.

Two different finance companies declare fixed annual rate of interest on the amounts invested with them by investors. The rate of interest offered by these companies may differ from year to year depending on the variation in the economy of the country and the banks rate of interest. The annual rate of interest offered by the two Companies P and Q over the years are shown by the line graph provided below.

**Annual Rate of Interest Offered by Two Finance Companies Over the Years.**

A.

Rs. 296,200

B.

Rs. 242,200

C.

Rs. 225,600

D.

Rs. 216,000

Correct answer is **C**

Amount received from Company P after one year (i.e., in 199) on investing Rs. 12 lakhs in it

= Rs. [12 + (8% of 12)] lakhs

= Rs. 12.96 lakhs.

Amount received from Company P after one year on investing Rs. 12.96 lakhs in the year 1999

= Rs. [12.96 + (10% of 12.96)] lakhs

= Rs. 14.256.

Appreciation received on investment during the period of two years

= Rs. (14.256 - 12) lakhs

= Rs. 2.256 lakhs

= Rs. 2,25,600.

Two different finance companies declare fixed annual rate of interest on the amounts invested with them by investors. The rate of interest offered by these companies may differ from year to year depending on the variation in the economy of the country and the banks rate of interest. The annual rate of interest offered by the two Companies P and Q over the years are shown by the line graph provided below.

**Annual Rate of Interest Offered by Two Finance Companies Over the Years.**

A.

Rs. 9 lakhs

B.

Rs. 11 lakhs

C.

Rs. 12 lakhs

D.

Rs. 18 lakhs

Correct answer is **D**

Let Rs. x lakhs be invested in Company P in 2000, the amount invested in Company Q in 2000 = Rs. (30 - x) lakhs.

Total interest received from the two Companies after 1 year

= Rs. [(7.5% of x) + {9% of (30 - x)}] lakhs

= Rs. [ 2.7 - ( 1.5x/100 ) ] lakhs.

Therefore [ 2.7 - ( 1.5x/100 ) ] = 2.43 => x = 18.

**Annual Rate of Interest Offered by Two Finance Companies Over the Years.**

A.

2:3

B.

3:4

C.

6:7

D.

4:3

Correct answer is **D**

Let the amounts invested in 2002 in Companies P and Q be Rs. 8x and Rs. 9x respectively.

Then, interest received after one year from Company P = Rs. (6% of 8x)

= Rs. (48/100) x.

and interest received after one year from Company Q = Rs. (4% of 9x)

= Rs. (36/100) x.

Therefore Required ratio = ( (48/100) x )/( (36/100) x ) = 4/3

**Annual Rate of Interest Offered by Two Finance Companies Over the Years.**

A.

Rs. 19,000

B.

Rs. 14,250

C.

Rs. 11,750

D.

Rs. 9500

Correct answer is **D**

Difference = Rs. [(10% of 4.75) - (8% of 4.75)] lakhs

= Rs. (2% of 4.75) lakhs

= Rs. 0.095 lakhs

= Rs. 9500.

Answer the questions based on the given line graph.

**Ratio of Exports to Imports (in terms of money in Rs. crores) of Two Companies Over the Years**

In which year(s) was the difference between imports and exports of Company B the maximum?

A.

2000

B.

1996

C.

1998 and 2000

D.

Cannot be determined

Correct answer is **D**

We shall try to find the difference between the imports and exports of Company B for various years one by one:

For 1995: We have

E/I = 0.75

where E = amount of exports, I = amount of imports in 1995.

=> E = 0.75I

Therefore I - E = 0.75 x I = 0.25I.

Thus, the difference between the imports and exports of Company B in 1995 is dependent on the amount of imports of Company B in 1995.

Similarly, the difference for other years can be determined only if the amount of imports for these years is known.

Since the imports or exports for various years are not know, the differences between and exports for various years cannot be determined.

Answer the questions based on the given line graph.

**Ratio of Exports to Imports (in terms of money in Rs. crores) of Two Companies Over the Years**

A.

Rs. 190 crores

B.

Rs. 210 crores

C.

Rs. 225 crores

D.

Cannot be determined

Correct answer is **B**

In 1995 for Company A we have:

E_{A}/I_{A} = 1.75 ... (i)

[where E_{A} = amount of exports, I_{A} = amount of imports of Company a in 1995]

In 1995 for Company B we have:

E_{B}/I_{B} = 0.75 ... (ii)

[where E_{B} = amount of exports, I_{B} = amount of imports of Company B in 1995]

Also, we have E_{A} = 2E_{B} ... (iii)

Substituting I_{A} = Rs. 180 crores (given) in (i), we get:

E_{A} = Rs. (180 x 1.75) crores = Rs. 315 crores.

Using E_{A} = Rs. 315 crores in (iii), we get:

E_{B} = E_{A}/2 = Rs. ( 315/2 ) crores.

Substituting E_{B} = Rs. ( 315/2 ) crores in (ii), we get:

I_{B} = E_{B}/0.75 = Rs. ( 315/(2 x 0.75) ) crores = Rs. 210 crores.

i.e., amount of imports of Company B in 1995 = Rs. 210 crores.

Answer the questions based on the given line graph.

**Ratio of Exports to Imports (in terms of money in Rs. crores) of Two Companies Over the Years**

A.

Rs. 189.6 crores

B.

Rs. 243 crores

C.

Rs. 281 crores

D.

Rs. 316 crores

Correct answer is **D**

Let the amount of imports of Company A in 1998 be Rs. x crores.

Then, 237/x = 0.75 => x = 237/0.75 = 316

Therefore Amount of imports of Company A in 1998 = Rs. 316 crores.

Answer the questions based on the given line graph.

**Ratio of Exports to Imports (in terms of money in Rs. crores) of Two Companies Over the Years**

A.

1.20

B.

1.25

C.

1.30

D.

Cannot be determined

Correct answer is **B**

In 1997 for Company A we have:

E/I = 1.75 i.e., E = 1.75I

where E amount of exports, I = amount of imports of Company A in 1997.

Now, the required imports I_{1} = I + 40% of I = 1.4I.

Therefore Required ratio = E/I_{1} = 1.75I/1.4I = 1.25.

Answer the questions based on the given line graph.

**Ratio of Exports to Imports (in terms of money in Rs. crores) of Two Companies Over the Years**

In how many of the given years were the exports more than the imports for Company A?

A.

2

B.

3

C.

4

D.

5

Correct answer is **B**

The exports are more than imports in those years for which the exports to imports ratio are more than 1. For Company A, such years are 1995, 1996 and 1997.

Thus, during these 3 years, the exports are more than the imports for Company A.

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