# SBI PO Exam 2015- Data Interpretation Questions (With Solutions) Set-10

SBI PO Exam 2015- Data Interpretation Questions (With Solutions) Set-10:
List of Practice Data Interpretation Questions for Upcoming SBI PO Exam was given here with solutions, candidates those who are preparing for those exams can use this material.

1).In what time will Rs. 8500 amount to Rs. 1576.50 at 9% per annum simple interest?
a)ย ย ย 9 years
b)ย ย ย 9ร1/2 years
c)ย ย ย 7 years
d)ย ย ย 8 years
e)ย ย ย 7ร1/2 years

2).Arunโs expenditure and savings are in the ration 3:2. His income increases by 10%. His expenditure also increases by 12%. By what per cent do his savings increase?
a)ย ย ย 18
b)ย ย ย 12
c)ย ย ย 7
d)ย ย ย 8
e)ย ย ย 10

3).A train covers a certain distance in 40 minutes if the train runs at a speed of 60 kmph. Find the speed of the train at which it must run to reduce the time of journey to 30 minutes.
a)ย ย ย 50 kmph
b)ย ย ย 80 kmph
c)ย ย ย 60 kmph
d)ย ย ย 75 kmph
e)ย ย ย None of these

4).The perimeter of the sector of a circle of radius 6.2 cm is 17.4 cm. Find the area of the sector.
a)ย ย ย 16 cm2
b)ย ย ย 15.5 cm2
c)ย ย ย 15.6 cm2
d)ย ย ย 15.6 cm2
e)ย ย ย 17.5 cm2

ย
5).How many word can be formed with the letters of the word ORDINATE so that vowels occupy odd places?
a)ย ย ย 120
b)ย ย ย 586
c)ย ย ย 256
d)ย ย ย 576
e)ย ย ย 676

Average marks obtained by 20 boys and 20 girls in five subjects of five different schools.
ย
 Subject Maxi- marks P Q R S T Boys Girls Boys Girls Boys Girls Boys Girls Boys Girls English 200 85 90 80 75 100 110 65 60 105 110 History 100 40 50 45 50 50 55 40 45 65 60 Geography 100 50 40 40 45 60 55 50 55 60 65 Maths 200 120 110 95 85 135 130 75 80 130 135 Science 200 105 125 110 120 125 115 85 90 140 135
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6).What was the total marks obtained by boys in History from School Q?
a)ย ย ย 900
b)ย ย ย 980
c)ย ย ย 1300
d)ย ย ย 800
e)ย ย ย 1000

7).In which of the following subjects did the girls has the highest average percentage of marks from all the schools?
a)ย ย ย Science
b)ย ย ย Maths
c)ย ย ย History
d)ย ย ย English
e)ย ย ย Geography

8).The pooled average marks of both boys and girls in all the subjects were minimum from which of the following schools?
a)ย ย ย R
b)ย ย ย T
c)ย ย ย P
d)ย ย ย S
e)ย ย ย Q

9).In which of the following schools the total marks obtained by the girls in Mathematics was exactly 100% more than the total marks obtained by the boys in History?
a)ย ย ย P
b)ย ย ย S
c)ย ย ย R
d)ย ย ย T
e)ย ย ย Q

10).What was the difference between the total marks obtained in Mathematics by the boys from School R and that obtained in the same subject by the girls from School S?
a)ย ย ย 1000
b)ย ย ย 1100
c)ย ย ย 1111
d)ย ย ย 1400
e)ย ย ย 1200

1). b)ย ย  2). c)ย ย  3). b)ย ย  4). b)ย ย  5). d)ย ย  6). a)ย ย  7). a)ย ย  8). d)ย ย  9). b)ย ย  10). b)
Check here below for the detailed solutions of the above problems:
ย
1).SI = 15767.50 โ 8500 = 7267.5
Time = (7267.5ร100)/(8500ร9) = 9.5 years
= 9ร1/2 years
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2). Alligation Method:

ย We get two values of x:7 and 13. But to get a viable answer we must keep in mind that the central value (10) must lie between x and 12. Thus the value of x should be 7 and not 13.
Alternate Method:
Let Arunโs income = 3x+2x=5x
Increase income = 5xร(110/100)=(11/2)x
Increased expenditure = (3xร112)/100= Rs. 84x/25
New savings=(11x/2)-(84x/25) = (107x/50)
Increase in savings = (107x/50)-2x=7x/50
Percentage increase in savings
=(7x/50ร2x)ร100 = 7%
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3). Let the distance be D km.
D/60=40 minutes = 40/60 = 2/3
Or D=(2/3)ร60 = 40 Km
Let the required speed be x kmph.
Now xร1/2=40(30 minutes=1/2 hours)
X=80 kmph
ย
4). Let AOB be the sector. Then the perimeter of the sector AOB = 17.4 cm

Or, OA+OB+ arc AB = 17.4
Or, 6.2+6.2+ arc AB=17.4
Or, are AB = 17.4 โ 12.4 = 5 cm
Area of the sector = 1/2รlentgh of arc ร radius=1/2ร5ร6.2=15.5 cm2
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5). There are 4 vowels are 4 consonants in the word ORDINATE.
We have to arrange the letters in a row such that vowels occupy odd places. There are 4 odd places 1, 3, 5 and 7. Four vowels can be arranged in these 4 odd places inย ways = 4! Ways
Remaining 4 even places viz 2,4,6,8 are to be occupied by 4 consonants. This can be done in 4! Ways.
Total no. of words in which vowels can occupy odd places = 4! ร 4! = 576
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6). Required marks obtained by 20 boys in History = 45ร20=900
ย
7).
Average % of marks obtained by girls is as follows in all schools and subjects

 Subject School P Q R S T English 45 37.5 55 30 55 History 50 50 55 45 60 Geography 40 45 55 55 65 Maths 55 42.5 65 40 67.5 Science 62.5 60 57.5 45 67.5
Hence is Science the average % marks obtained from all the schools is maximum.
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8). Pooled average marks of boys and girls.

 Subject School P Q R S T English 87.5 77.5 105 62.5 107.5 History 45 47.5 52.5 42.5 62.5 Geography 45 42.5 57.5 52.5 62.5 Maths 115 90 132.5 77.5 132.5 Science 115 115 120 87.5 137.5
Hence in school S pooled average marks are minimum.
ย
9).Total marks obtained by girls in Maths in School P = 110ร20=2200
Similarly, in School Q = 85 ร 20 = 1700
In School R = 130 ร 20 = 2600
In School S = 80 ร 20 = 1600
In School T = 135 ร 20 = 2700
Total marks obtained by boys in History in School P = 40 ร 20 = 800
Similarly, in School Q = 45 ร 20 = 900
In School R = 50 ร 20 = 1000
In School S = 40 ร 20 = 800
In School T = 65 ร 20 = 800
In School T = 65 ร 20 = 1300
Hence in School S the marks obtained by girls are twice the marks obtained by boys in History.