Online Data Interpretation Test - Data Interpretation Test 1

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  • Total number of questions: 20.
  • Time allotted: 30 minutes.
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Marks : 2/20


Total number of questions
20
Number of answered questions
0
Number of unanswered questions
20
Test Review : View answers and explanation for this test.

Direction (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?
50%
62.5%
75%
80%
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

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


2.
What is the ratio of candidates passed to the candidates enrolled from institute P?
9 : 11
14 : 17
6 : 11
9 : 17
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

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


3.
What is the percentage of candidates passed to the candidates enrolled for institutes Q and R together?
68%
80%
74%
65%
Your Answer: Option
(Not Answered)
Correct Answer: Option
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.

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


4.
Which institute has the highest percentage of candidates passed to the candidates enrolled?
Q
R
V
T
Your Answer: Option
(Not Answered)
Correct Answer: Option
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.


5.
The number of candidates passed from institutes S and P together exceeds the number of candidates enrolled from institutes T and R together by:
228
279
399
407
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

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


Direction (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.
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?
2:3
3:4
6:7
4:3
Your Answer: Option
(Not Answered)
Correct Answer: Option
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

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


7.
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?
Rs. 9 lakhs
Rs. 11 lakhs
Rs. 12 lakhs
Rs. 18 lakhs
Your Answer: Option
(Not Answered)
Correct Answer: Option
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

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


8.
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?
Rs. 19,000
Rs. 14,250
Rs. 11,750
Rs. 9500
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

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


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?
Rs. 2,96,200
Rs. 2,42,200
Rs. 2,25,600
Rs. 2,16,000
Your Answer: Option
(Not Answered)
Correct Answer: Option
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?
Rs. 5,94,550
Rs. 5,80,425
Rs. 5,77,800
Rs. 5,77,500
Your Answer: Option
(Not Answered)
Correct Answer: Option
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 (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
199275144114102108543
19939012610284126528
19949611475105135525
1995105901509075510
199690751357590465
19971056016545120495
199811585160100145605

11.
The total sales of all the seven years is the maximum for which battery?
4AH
7AH
32AH
35AH
Your Answer: Option
(Not Answered)
Correct Answer: Option
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.


12.
What is the difference in the number of 35AH batteries sold in 1993 and 1997?
24000
28000
35000
39000
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

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


13.
The percentage of 4AH batteries sold to the total number of batteries sold was maximum in the year?
1994
1995
1996
1997
Your Answer: Option
(Not Answered)
Correct Answer: Option
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.


14.
In case of which battery there was a continuous decrease in sales from 1992 to 1997?
4AH
7AH
32AH
35AH
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

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


15.
What was the approximate percentage increase in the sales of 55AH batteries in 1998 compared to that in 1992?
28%
31%
33%
34%
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

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


Direction (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.
Total number of cars of models P, Q and T manufactured in 2000 is?
2,45,000
2,27,500
2,10,000
1,92,500
Your Answer: Option
(Not Answered)
Correct Answer: Option
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.


17.
For which model the percentage rise/fall in production from 2000 to 2001 was minimum?
Q
R
S
T
Your Answer: Option
(Not Answered)
Correct Answer: Option
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

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


18.
What was the difference in the number of Q type cars produced in 2000 and that produced in 2001?
35,500
27,000
22,500
17,500
Your Answer: Option
(Not Answered)
Correct Answer: Option
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.

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


19.
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?
1,40,000
1,32,000
1,17,000
1,05,000
Your Answer: Option
(Not Answered)
Correct Answer: Option
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.


20.
If 85% of the S type cars produced in each year were sold by the company, how many S type cars remain unsold?
7650
9350
11,850
12,250
Your Answer: Option
(Not Answered)
Correct Answer: Option
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.

Therefore Total number of S type cars which remained unsold

    = 15% of (35,000 + 44,000)

    = 15% of 79,000

    = 11,850.


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