 # Data Interpretation Questions and Answers

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.

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61.

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. An investor invested Rs. 5 lakhs in Company Q in 1996. After one year, the entire amount along with the interest was transferred as investment to Company P in 1997 for one year. What amount will be received from Company P, by the investor?

A.

Rs. 594,550

B.

Rs. 580,425

C.

Rs. 577,800

D.

Rs. 577,500

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.

62.

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. An investor invested a sum of Rs. 12 lakhs in Company P in 1998. The total amount received after one year was re-invested in the same Company for one more year. The total appreciation received by the investor on his investment was?

A.

Rs. 296,200

B.

Rs. 242,200

C.

Rs. 225,600

D.

Rs. 216,000

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.

63.

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. In 2000, a part of Rs. 30 lakhs was invested in Company P and the rest was invested in Company Q for one year. The total interest received was Rs. 2.43 lakhs. What was the amount invested in Company P?

A.

Rs. 9 lakhs

B.

Rs. 11 lakhs

C.

Rs. 12 lakhs

D.

Rs. 18 lakhs

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.

64.

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. If two different amounts in the ratio 8:9 are invested in Companies P and Q respectively in 2002, then the amounts received after one year as interests from Companies P and Q are respectively in the ratio?

A.

2:3

B.

3:4

C.

6:7

D.

4:3

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

65.

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 sum of Rs. 4.75 lakhs was invested in Company Q in 1999 for one year. How much more interest would have been earned if the sum was invested in Company P?

A.

Rs. 19,000

B.

Rs. 14,250

C.

Rs. 11,750

D.

Rs. 9500

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

= Rs. (2% of 4.75) lakhs

= Rs. 0.095 lakhs

= Rs. 9500.

66.

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

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.

67.

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 1995, the export of Company A was double that of Company B. If the imports of Company A during the year was Rs. 180 crores, what was the approximate amount of imports of Company B during that year?

A.

Rs. 190 crores

B.

Rs. 210 crores

C.

Rs. 225 crores

D.

Cannot be determined

In 1995 for Company A we have:

EA/IA = 1.75 ... (i)

[where EA = amount of exports, IA = amount of imports of Company a in 1995]

In 1995 for Company B we have:

EB/IB = 0.75 ... (ii)

[where EB = amount of exports, IB = amount of imports of Company B in 1995]

Also, we have EA = 2EB ... (iii)

Substituting IA = Rs. 180 crores (given) in (i), we get:

EA = Rs. (180 x 1.75) crores = Rs. 315 crores.

Using EA = Rs. 315 crores in (iii), we get:

EB = EA/2 = Rs. ( 315/2 ) crores.

Substituting EB = Rs. ( 315/2 ) crores in (ii), we get:

IB = EB/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.

68.

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 If the exports of Company A in 1998 were Rs. 237 crores, what was the amount of imports in that year?

A.

Rs. 189.6 crores

B.

Rs. 243 crores

C.

Rs. 281 crores

D.

Rs. 316 crores

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.

69.

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 If the imports of Company A in 1997 were increased by 40 percent, what would be the ratio of exports to the increased imports?

A.

1.20

B.

1.25

C.

1.30

D.

Cannot be determined

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 I1 = I + 40% of I = 1.4I.

Therefore Required ratio = E/I1 = 1.75I/1.4I = 1.25.

70.

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

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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