# Online Data Interpretation Test - Data Interpretation Test 4

Instruction:

• This is a FREE online test. DO NOT pay money to anyone to attend this test.
• 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 and the table and answer the questions given below.

Data of different states regarding population of states in the year 1998

Total population of the given States = 3276000.

 States Sex and Literacy wise Population Ratio Sex Literacy M F Literate Illiterate A.P 5 3 2 7 M.P 3 1 1 4 Delhi 2 3 2 1 Goa 3 5 3 2 Bihar 3 4 4 1 U.P. 3 2 7 2 T.N. 3 4 9 4

1.

What will be the percentage of total number of males in U.P., M.P. and Goa together to the total population of all the given states?

A.
 25%
B.
 27.5%
C.
 28.5%
D.
 31.5%

Explanation:

 Number of males in U.P = 3 of (15% of N) = 3 x 15 x N   = 9 x N . 5 5 100 100

where N = 3276000.

 Number of males in M.P = 3 of (20% of N) = 3 x 20 x N   = 15 x N . 4 4 100 100

 Number of males in Goa = 3 of (12% of N) = 3 x 12 x N   = 4.5 x N . 8 8 100 100

Total number of males in these three states
 = (9 + 15 + 4.5) x N 100
 = 28.5 x N . 100

Required Percentage =
 28.5 x N 100
x 100 % = 28.5%.
N

2.

What was the total number of illiterate people in A.P. and M.P. in 1998?

A.
 876040
B.
 932170
C.
 981550
D.
 1161160

Explanation:

 No. of illiterate people in A.P. = 7 of (25% of 3276000) = 637000. 9

 No. of illiterate people in M.P. = 4 of (20% of 3276000) = 524160. 5

Total number = (637000 + 524160) = 1161160.

3.

What is the ratio of the number of females in T.N. to the number of females in Delhi?

A.
 7 : 5
B.
 9 : 7
C.
 13 : 11
D.
 15 : 14

Explanation:

Required ratio
=
 4 of (9% of 3276000) 7
 3 of (8% of 3276000) 5
=
 4 x 9 7
 3 x 8 5
 = 4 x 9 x 5 x 1 7 3 8
 = 15 . 14

4.

What was the number of males in U.P. in the year 1998?

A.
 254650
B.
 294840
C.
 321470
D.
 341200

Explanation:

Number of males in U.P.
 = 3 of (15% of 3276000) 5
 = 3 x 15 x 3726000 5 100
= 294840.

5.

If in the year 1998, there was an increase of 10% in the population of U.P. and 12% in the population of M.P. compared to the previous year, then what was the ratio of populations of U.P. and M.P. in 1997?

A.
 42 : 55
B.
 48 : 55
C.
 7 : 11
D.
 4 : 5

Explanation:

Let x be the population of U.P. in 1997. Then,

 Population of U.P. in 1998 = 110% of x = 110 x x. 100

Also, let y be the population of M.P. in 1997. Then,

 Population of M.P. in 1998 = 112% of y = 112 x y. 100

Ratio of populations of U.P. and M.P. in 1998 =
 110 x x 100
= 110x .
 112 x y 100
112y

 From the pie-chart, this ratio is 15 . 20

 110x = 15 x = 15 x 112 = 42 . 112y 20 y 20 110 55

Thus, ratio of populations of U.P. and M.P. in 1997 = x : y = 42 : 55.

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

In a school the periodical examination are held every second month. In a session during April 2001 - March 2002, a student of Class IX appeared for each of the periodical exams. The aggregate marks obtained by him in each perodical exam are represented in the line-graph given below.

Marks Obtained by student in Six Periodical Held in Every Two Months During the Year in the Session 2001 - 2002.

Maximum Total Marks in each Periodical Exam = 500

6.

In which periodical exams did the student obtain the highest percentage increase in marks over the previous periodical exams ?

A.
 June, 01
B.
 August, 01
C.
 Oct, 01
D.
 Dec, 01

Explanation:

Percentage increase in marks in various periodical exams compared to the previous exams are:

 For Jun 01 = (365 - 360) x 100 % = 1.39%. 360

 For Aug 01 = (370 - 365) x 100 % = 1.37%. 365

 For Oct 01 = (385 - 370) x 100 % = 4.05%. 370

 For Dec 01 = (400 - 385) x 100 % = 3.90%. 385

 For Feb 02 = (404 - 400) x 100 % = 1.25%. 400

Clearly, highest percentage increase in marks is in Oct 01.

7.

The total number of marks obtained in Feb. 02 is what percent of the total marks obtained in April 01 ?

A.
 110%
B.
 112.5%
C.
 115%
D.
 116.5%

Explanation:

Here it is clear from the graph that the student obtained 360, 365, 370, 385, 400 and 405 marks in periodical exams held in Apr 01, Jun 01, Aug 01, Oct 01, Dec 01 and Feb 02 respectively.

 Required percentage = 405 x 100 % = 112.5%. 360

8.

What is the percentage of marks obtained by the student in the periodical exams of August, 01 and Oct, 01 taken together ?

A.
 73.25%
B.
 75.5%
C.
 77%
D.
 78.75%

Explanation:

 Required percentage = (370 + 385) x 100 % = 755 x 100 % = 75.5%. (500 + 500) 1000

9.

What are the average marks obtained by the student in all the periodical exams during the last session ?

A.
 373
B.
 379
C.
 381
D.
 385

Explanation:

Average marks obtained in all the periodical exams

 = 1 x [360 + 365 + 370 + 385 + 400 + 405] = 380.83 381. 6

10.

In which periodical exams there is a fall in percentage of marks as compared to the previous periodical exams ?

A.
 None
B.
 June, 01
C.
 Oct, 01
D.
 Feb, 02

Explanation:

As is clear from the graph, the total marks obtained in periodical exams, go on increasing. Since, the maximum marks for all the periodical exams are the same; it implies that the percentage of marks also goes on increasing.

Thus, in none of the periodical exams, there is a fall in percentage of marks compared to the previous exam.

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

Study the following table and answer the questions based on it.

Number of Candidates Appeared, Qualified and Selected in a Competitive Examination from Five States Delhi, H.P, U.P, Punjab and Haryana Over the Years 1994 to 1998

 Year Delhi H.P U.P Punjab Haryana App Qual Sel App Qual Sel App Qual Sel App Qual Sel App Qual Sel 1997 8000 850 94 7800 810 82 7500 720 78 8200 680 85 6400 700 75 1998 4800 500 48 7500 800 65 5600 620 85 6800 600 70 7100 650 75 1999 7500 640 82 7400 560 70 4800 400 48 6500 525 65 5200 350 55 2000 9500 850 90 8800 920 86 7000 650 70 7800 720 84 6400 540 60 2001 9000 800 70 7200 850 75 8500 950 80 5700 485 60 4500 600 75

11.

For which state the average number of candidates selected over the years is the maximum?

A.
 Delhi
B.
 H.P
C.
 U.P
D.
 Punjab

Explanation:

The average number of candidates selected over the given period for various states are:

 For Delhi = 94 + 48 + 82 + 90 + 70 = 384 = 76.8. 5 5

 For H.P. = 82 + 65 + 70 + 86 + 75 = 378 = 75.6. 5 5

 For U.P. = 78 + 85 + 48 + 70 + 80 = 361 = 72.2. 5 5

 For Punjab = 85 + 70 + 65 + 84 + 60 = 364 = 72.8. 5 5

 For Haryana = 75 + 75 + 55 + 60 + 75 = 340 = 68. 5 5

Clearly, this average is maximum for Delhi.

12.

The percentage of candidates qualified from Punjab over those appeared from Punjab is highestin the year?

A.
 1997
B.
 1998
C.
 1999
D.
 2000

Explanation:

The percentages of candidates qualified from Punjab over those appeared from Punjab during different years are:

 For 1997 = 680 x 100 % = 8.29%. 8200

 For 1998 = 600 x 100 % = 8.82%. 6800

 For 1999 = 525 x 100 % = 8.08%. 6500

 For 2000 = 720 x 100 % = 9.23%. 7800

 For 2001 = 485 x 100 % = 8.51%. 5700

Clearly, this percentage is highest for the year 2000.

13.

In the year 1997, which state had the lowest percentage of candidates selected over the candidates appeared?

A.
 Delhi
B.
 H.P
C.
 U.P
D.
 Punjab

Explanation:

The percentages of candidates selected over the candidates appeared in 1997, for various states are:

 (i) For Delhi = 94 x 100 % = 1.175%. 8000

 (ii) For H.P. = 82 x 100 % = 1.051%. 7800

 (iii) For U.P. = 78 x 100 % = 1.040%. 7500

 (iv) For Punjab 85 x 100 % = 1.037%. 8200

 (v) For Haryana 75 x 100 % = 1.172%. 6400

Clearly, this percentage is lowest for Punjab.

14.

The number of candidates selected from Haryana during the period under review is approximately what percent of the number selected from Delhi during this period?

A.
 79.5%
B.
 81%
C.
 84.5%
D.
 88.5%

Explanation:

Required percentage
 = (75 + 75 + 55 + 60 + 75) x 100 % (94 + 48 + 82 + 90 + 70)
 = 340 x 100 % 384
= 88.54%
88.5%

15.

The percentage of candidates selected from U.P over those qualified from U.P is highest in the year?

A.
 1997
B.
 1998
C.
 1999
D.
 2001

Explanation:

The percentages of candidates selected from U.P. over those qualified from U.P. during different years are:

 For 1997 = 78 x 100 % = 10.83%. 720

 For 1998 = 85 x 100 % = 13.71%. 620

 For 1999 = 48 x 100 % = 12%. 400

 For 2000 = 70 x 100 % = 10.77%. 650

 For 2001 = 80 x 100 % = 8.42%. 950

Clearly, this percentage is highest for the year 1998.

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

A cosmetic company provides five different products. The sales of these five products (in lakh number of packs) during 1995 and 2000 are shown in the following bar graph.

Sales (in lakh number of packs) of five different products of Cosmetic Company during 1995 and 2000

16.

The sales of lipsticks in 2000 was by what percent more than the sales of nail enamels in 2000? (rounded off to nearest integer)

A.
 33%
B.
 31%
C.
 28%
D.
 22%

Explanation:

Required percentage
 = (48.17 - 37.76) x 100 % 37.76
= 27.57%
28%.

17.

During the period 1995-2000, the minimum rate of increase in sales is in the case of?

A.
 Shampoos
B.
 Nail enamels
C.
 Talcum powders
D.
 Lipsticks

Explanation:

The percentage increase from 1995 to 2000 for various products are:

 Lipsticks = (48.17 - 20.15) x 100 % = 139.06%. 20.15

 Nail enamels = (37.76 - 5.93) x 100 % = 536.76%. 5.93

 Talcum powders = (29.14 - 14.97) x 100 % = 94.66%. 14.97

 Shampoos = (12.21 - 7.88) x 100 % = 54.95% 55%. 7.88

 Conditioners = (10.19 - 5.01) x 100 % = 103.39%. 5.01

The minimum rate of increase in sales from 1995 to 2000 is in the case of Shampoos.

18.

What is the approximate ratio of the sales of nail enamels in 2000 to the sales of Talcum powders in 1995?

A.
 7:2
B.
 5:2
C.
 4:3
D.
 2:1

Explanation:

 Required ratio = 37.76 2.5 = 5 . 14.97 2

19.

The sales have increase by nearly 55% from 1995 to 2000 in the case of?

A.
 Lipsticks
B.
 Nail enamels
C.
 Talcum powders
D.
 Shampoos

Explanation:

The percentage increase from 1995 to 2000 for various products are:

 Lipsticks = (48.17 - 20.15) x 100 % = 139.06%. 20.15

 Nail enamels = (37.76 - 5.93) x 100 % = 536.76%. 5.93

 Talcum powders = (29.14 - 14.97) x 100 % = 94.66%. 14.97

 Shampoos = (12.21 - 7.88) x 100 % = 54.95% 55%. 7.88

 Conditioners = (10.19 - 5.01) x 100 % = 103.39%. 5.01

20.

The sales of conditioners in 1995 was by what percent less than the sales of shampoos in 1995? (rounded off to nearest integer)

A.
 57%
B.
 36%
C.
 29%
D.
 25%

Explanation:

Required percentage
 = (7.88 - 5.01) x 100 % 7.88
= 36.42%
36%.