# Online Data Interpretation Test - Data Interpretation Test 1

Instruction:

• Total number of questions : 20.
• Time alloted : 30 minutes.
• Each question carry 1 mark, no negative marks.
• DO NOT refresh the page.
• All the best :-).

Direction (for Q.Nos. 1 - 5):

Study the following graph carefully and answer the questions given below:

Distribution of candidates who were enrolled for MBA entrance exam and the candidates (out of those enrolled) who passed the exam in different institutes:

1.

What percentage of candidates passed the Exam from institute T out of the total number of candidates enrolled from the same institute?

A.
 50%
B.
 62.5%
C.
 75%
D.
 80%

Explanation:

 Required percentage = 9% of 5700 x 100 % = 9 x 5700 x 100 % = 75%. 8% of 8550 8% of 8550

2.

Which institute has the highest percentage of candidates passed to the candidates enrolled?

A.
 Q
B.
 R
C.
 V
D.
 T

Explanation:

The percentage of candidates passed to candidates enrolled can be determined for each institute as under:

 (i) P = 18% of 5700 x 100 % = 18 x 5700 x 100 % = 54.55%. 22% of 8550 22 x 8550

 (ii) Q = 17% of 5700 x 100 % = 75.56%. 15% of 8550

 (iii) R = 13% of 5700 x 100 % = 86.67%. 10% of 8550

 (iv) S = 16% of 5700 x 100 % = 62.75%. 17% of 8550

 (v) T = 9% of 5700 x 100 % = 75%. 8% of 8550

 (vi) V = 15% of 5700 x 100 % = 83.33%. 12% of 8550

 (vii) X = 12% of 5700 x 100 % = 50%. 16% of 8550

Highest of these is 86.67% corresponding to institute R.

3.

The number of candidates passed from institutes S and P together exceeds the number of candidates enrolled from institutes T and R together by:

A.
 228
B.
 279
C.
 399
D.
 407

Explanation:

 Required difference = [(16% + 18%) of 5700] - [(8% + 10%) of 8550] = [(34% of 5700) - (18% of 8550)] = (1938 - 1539) = 399.

4.

What is the percentage of candidates passed to the candidates enrolled for institutes Q and R together?

A.
 68%
B.
 80%
C.
 74%
D.
 65%

Explanation:

 Candidates passed from institutes Q and R together = [(13% + 17%) of 5700] = 30% of 5700. Candidates enrolled from institutes Q and R together = [(15% + 10%) of 8550] = 25% of 8550.

Required Percentage
 = 30% of 5700 x 100 % 25% of 8550
 = 30 x 5700 x 100 % 25 x 8550
= 80%.

5.

What is the ratio of candidates passed to the candidates enrolled from institute P?

A.
 9 : 11
B.
 14 : 17
C.
 6 : 11
D.
 9 : 17

Explanation:

 Required ratio = 18% of 5700 = 18 x 5700 = 6 . 22% of 8550 22 x 8550 11

Direction (for Q.Nos. 6 - 10):

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.

6.

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

Explanation:

 Difference = Rs. [(10% of 4.75) - (8% of 4.75)] lakhs = Rs. (2% of 4.75) lakhs = Rs. 0.095 lakhs = Rs. 9500.

7.

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

Explanation:

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 x. 100
and interest received after one year from Company Q = Rs. (4% of 9x)
 = Rs. 36 x. 100

Required ratio =
 48 x 100
= 4 .
 36 x 100
3

8.

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

Explanation:

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 lakhs. 100

 2.7 - 1.5x = 2.43         x = 18. 100

9.

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. 2,96,200
B.
 Rs. 2,42,200
C.
 Rs. 2,25,600
D.
 Rs. 2,16,000

Explanation:

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.

10.

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. 5,94,550
B.
 Rs. 5,80,425
C.
 Rs. 5,77,800
D.
 Rs. 5,77,500

Explanation:

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.

Direction (for Q.Nos. 11 - 15):

The following table gives the sales of batteries manufactured by a company over the years.

Number of Different Types of Batteries Sold by a Company Over the Years (Numbers in Thousands)

 Year Types of Batteries 4AH 7AH 32AH 35AH 55AH Total 1992 75 144 114 102 108 543 1993 90 126 102 84 126 528 1994 96 114 75 105 135 525 1995 105 90 150 90 75 510 1996 90 75 135 75 90 465 1997 105 60 165 45 120 495 1998 115 85 160 100 145 605

11.

What was the approximate percentage increase in the sales of 55AH batteries in 1998 compared to that in 1992?

A.
 28%
B.
 31%
C.
 33%
D.
 34%

Explanation:

Required percentage
 = (145 - 108) x 100 % 108
= 34.26%
34%.

12.

The total sales of all the seven years is the maximum for which battery?

A.
 4AH
B.
 7AH
C.
 32AH
D.
 35AH

Explanation:

The total sales (in thousands) of all the seven years for various batteries are:

For 4AH = 75 + 90 + 96 + 105 + 90 + 105 + 115 = 676

For 7AH = 144 + 126 + 114 + 90 + 75 + 60 + 85 = 694

For 32AH = 114 + 102 + 75 + 150 + 135 + 165 + 160 = 901

For 35AH = 102 + 84 + 105 + 90 + 75 + 45 + 100 = 601

For 55AH = 108 + 126 + 135 + 75 + 90 + 120 + 145 = 799.

Clearly, sales are maximum in case of 32AH batteries.

13.

What is the difference in the number of 35AH batteries sold in 1993 and 1997?

A.
 24000
B.
 28000
C.
 35000
D.
 39000

Explanation:

Required difference = [(84 - 45) x 1000] = 39000.

14.

The percentage of 4AH batteries sold to the total number of batteries sold was maximum in the year?

A.
 1994
B.
 1995
C.
 1996
D.
 1997

Explanation:

The percentages of sales of 4AH batteries to the total sales in different years are:

 For 1992 = 75 x 100 % = 13.81%. 543

 For 1993 = 90 x 100 % = 17.05%. 528

 For 1994 = 96 x 100 % = 18.29%. 525

 For 1995 = 105 x 100 % = 20.59%. 510

 For 1996 = 96 x 100 % = 19.35%. 465

 For 1997 = 105 x 100 % = 21.21%. 495

 For 1998 = 115 x 100 % = 19.01%. 605

Clearly, the percentage is maximum in 1997.

15.

In case of which battery there was a continuous decrease in sales from 1992 to 1997?

A.
 4AH
B.
 7AH
C.
 32AH
D.
 35AH

Explanation:

From the table it is clear that the sales of 7AH batteries have been decreasing continuously from 1992 to 1997.

Direction (for Q.Nos. 16 - 20):

The bar graph given below shows the percentage distribution of the total production of a car manufacturing company into various models over two years.

Percentage of Six different types of Cars manufactured by a Company over Two Years

16.

What was the difference in the number of Q type cars produced in 2000 and that produced in 2001?

A.
 35,500
B.
 27,000
C.
 22,500
D.
 17,500

Explanation:

Total number of Q type cars produced in 2001

=(60 - 40)% of 4,40,000 = 88,000.

Total number of Q type cars produced in 2000

=(45 - 30)% of 3,50,000 = 52,500.

Required difference = (88000 - 52500) = 35,500.

17.

Total number of cars of models P, Q and T manufactured in 2000 is?

A.
 2,45,000
B.
 2,27,500
C.
 2,10,000
D.
 1,92,500

Explanation:

Analysis of the graph:

We shall first determine the number of cars of each model produced by the Company during the two years:

In 2000 : Total number of cars produced = 3,50,000.

P = (30 - 0)% of 3,50,000 = 30% of 3,50,000 = 1,05,000.

Q = (45 - 30)% of 3,50,000 = 15% of 3,50,000 = 52,500.

R = (65 - 45)% of 3,50,000 = 20% of 3,50,000 = 70,000.

S = (75 - 65)% of 3,50,000 = 10% of 3,50,000 = 35,000.

T = (90 - 75)% of 3,50,000 = 15% of 3,50,000 = 52,500.

U = (100 - 90)% of 3,50,000 = 10% of 3,50,000 = 35,000.

In 2001 : Total number of cars produced = 4,40,000.

P = (40 - 0)% of 4,40,000 = 40% of 4,40,000 = 1,76,000.

Q = (60 - 40)% of 4,40,000 = 20% of 4,40,000 = 88,000.

R = (75 - 60)% of 4,40,000 = 15% of 4,40,000 = 66,000.

S = (85 - 75)% of 4,40,000 = 10% of 4,40,000 = 44,000.

T = (95 - 85)% of 4,40,000 = 10% of 4,40,000 = 44,000.

U = (100 - 95)% of 4,40,000 = 5% of 4,40,000 = 22,000.

Total number of cars of models P, Q and T manufacture in 2000

= (105000 + 52500 + 52500)

= 2,10,000.

18.

If the percentage production of P type cars in 2001 was the same as that in 2000, then the number of P type cars produced in 2001 would have been?

A.
 1,40,000
B.
 1,32,000
C.
 1,17,000
D.
 1,05,000

Explanation:

If the percentage production of P type cars in 2001

= Percentage production of P type cars in 2000

= 30%.

then, number of P type cars produced in 2001

= 30% of 4,40,000

= 1,32,000.

19.

If 85% of the S type cars produced in each year were sold by the company, how many S type cars remain unsold?

A.
 7650
B.
 9350
C.
 11,850
D.
 12,250

Explanation:

Number of S type cars which remained unsold in 2000 = 15% of 35,000

and number of S type cars which remained unsold in 2001 = 15% of 44,000.

Total number of S type cars which remained unsold

= 15% of (35,000 + 44,000)

= 15% of 79,000

= 11,850.

20.

For which model the percentage rise/fall in production from 2000 to 2001 was minimum?

A.
 Q
B.
 R
C.
 S
D.
 T

Explanation:

The percentage change (rise/fall) in production from 2000 to 2001 for various models is:

 For P = (176000 - 105000) x 100 % = 67.62%, rise. 105000

 For Q = (88000 - 52500) x 100 % = 67.62%, rise. 52500

 For R = (70000 - 66000) x 100 % = 5.71%, fall. 70000

 For S = (44000 - 35000) x 100 % = 25.71%, rise. 35000

 For T = (52500 - 44000) x 100 % = 16.19%, fall. 52500

 For U = (35000 - 22000) x 100 % = 37.14%, fall. 35000

Minimum percentage rise/fall is production is the case of model R.