Data Interpretation for SBI PO

Mentor for Bank Exams
Data Interpretation for SBI PO
Directions (1 – 5): Study the following Pie - chart carefully and answer the questions given below.
The pie chart given below gives the population share of six states in India. The numbers given in each segment gives the angle occupied by it. Total population of six states is 1050000.

1. What is the respective ratio of number of females in A.P and M.P to number of males in A.P and M.P?
a) 41 : 44
b) 25 : 60
c) 34 : 69
d) 26 : 57
e) 26 : 59
2. The population of Odisha is approximately, what percent of population of U.P?
a) 95
b) 98
c) 90
d) 85
e) 80
3. What is the difference between the total number of females and males in the given six states?
a) 116500
b) 166550
c) 105440
d) 116440
e) None of these
4. Male population of U.P is approximately what percent of the male population of Karnataka?
a) 93
b) 83
c) 97
d) 87
e) 79
5. What is the ratio of the number of males of Tamil Nadu to females of A.P?
a) 11 : 16
b) 11 : 2
c) 5 : 11
d) 3 : 11
e) None of these
Directions (6 – 10): Study the table carefully and answer the questions given below it.
A sales executive travels in the following metros for promoting sales. In this way, he travels by road or by rail. The table shows the TA per km in different cities and distance travelled in different cities.
Cities
Distance
Travelled
(in km)
Distance by
Rail : Distance
By road
TA per km
Rail (in Rs.)
Road
(in Rs.)
Kolkata
432
11 : 1
12.60
15.20
Chennai
4256
3 : 16
12.90
11.0
Mumbai
3528
5 : 13
13.40
14.40
Hyderabad
3350
7 : 18
12.90
16.30
Bengaluru
1456
4 : 9
16.70
11.70
Lucknow
2016
1 : 7
11.50
13.90
Delhi
1024
3 : 1
12.10
16.10
6. What is the total TA earned by him in Kolkata and Delhi?
a) Rs. 16894.4
b) Rs. 18951.20
c) Rs. 15088
d) Rs. 20443.6
e) None of the above
7. TA earned by him in Delhi by road is approximately what percentage of TA earned by rail?
a) 60%
b) 44%
c) 30%
d) 66%
e) 25%
8. In which of the following cities does he travel maximum distance by rail?
a) Kolkata
b) Chennai
c) Mumbai
d) Hyderabad
e) None of the above
9. What is the TA earned by him while travelling in Chennai by rail?
a) Rs. 4422
b) Rs. 3922.4
c) Rs. 6592
d) Rs. 8668.8
e) None of these
10. In Hyderabad, the distance travelled by road is what per cent of distance travelled by road in Lucknow?
a) 136.73%
b) 372.22%
c) 166.7%
d) 189.9%
e) None of these
Solutions:
(1 – 5): Population of A.P = 0.16 × 1050000 = 168000
Population of U.P = 0.21 × 1050000 = 220500
Population of M.P = 0.18 × 1050000 = 189000
Population of Tamil Nadu = 0.11 × 1050000 = 115500
Population of Karnataka = 0.15 × 1050000 = 157500
Population of Odisha = 0.19 × 1050000 = 199500

No. of Males
No. of. Females
A.P
0.8 × 168000 = 134400
0.2 × 168000 = 33600
U.P
0.4 × 220500 = 88200
0.6 × 220500 = 132300
M.P
0.6 × 189000 = 113400
0.4 × 189000 = 75600
Tamil Nadu
0.2 × 115500 = 23100
0.8 × 115500 = 92400
Karnataka
0.6 × 157500 = 94500
0.4 × 157500 = 63000
Odisha
0.65 × 199500 = 129675
0.35 × 199500 = 69825
1. E) Number of females in A.P and M.P = 33600 + 75600 = 109200
Number of males in A.P and M.P = 134400 + 113400 = 247800
Required ratio = 109200 : 247800 = 26 : 59
2. C) Required percentage = 19/21 × 100 ≈ 90%
3. E) Required difference = Number of males – Number of females = 134400 + 88200 + 113400 + 23100 + 94500 + 129675 – 33600 – 132300 – 75600 – 92400 – 63000 – 69825 = 116550
4. A) Required percentage = 88200 × 100/94500 = 93.3 %
5. A) Ratio of number of females of Tamil Nadu to females of A.P = 23100/33600 = 11/16
6. B) From the given table:
Total distance travelled by him in Kolkata = 432 Km
Ratio of distance travelled by Rail to distance by road = 11 : 1
Hence, distance travelled by rail =11/(11+1) × 432 = 396 Km
Also, distance travelled by road =1/(11+1) × 432 = 36 Km
From table, TA per Km while travelling by rail in Kolkata = Rs. 12.60
TA earned by sales person by rail = 396 × 12.60 = Rs. 4989.6
From table, TA per Km while travelling by road in Kolkata = Rs. 15.20
TA earned by sales person by road = 36 × 15.20 = Rs. 547.2
Total TA received while in Kolkata = 4989.6 + 547.2 = Rs. 5536.8
Also, from the given table:
Total distance travelled by him in Delhi = 1024 Km
Ratio of distance travelled by Rail to distance by road = 3 : 1
Hence, distance travelled by rail =3/(3+1) × 1024 = 768 Km
Also, distance travelled by road =1/(3+1) × 1024 = 256 Km
From table, TA per Km while travelling by rail in Delhi = Rs. 12.10
TA earned by sales person by rail = 768 × 12.10 = Rs. 9292.8
From table, TA per Km while travelling by road in Delhi = Rs. 16.10
TA earned by sales person by road = 256 × 16.10 = Rs. 4121.6
Total TA received in Delhi = 9292.8 + 4121.6 = Rs. 13414.4
Hence, Total TA collected by him in Kolkata and Delhi = 5536.8 + 13414.4 = Rs. 18951.2
7. B) From the given table:
Total distance travelled by him in Delhi = 1024 Km
Ratio of distance travelled by Rail to distance by road = 3 : 1
Hence, distance travelled by rail =3/(3+1) × 1024 = 768 Km
Also, distance travelled by road =1/(3+1) × 1024 = 256 Km
From table, TA per Km while travelling by rail in Delhi = Rs. 12.10
TA earned by sales person by rail = 768 × 12.10 = Rs. 9292.8
From table, TA per Km while travelling by road in Delhi = Rs. 16.10
TA earned by sales person by road = 256 × 16.10 = Rs. 4121.6
Hence, the required percentage =4121.6/9292.8 × 100 = 44% (appox …)
8. C) From the given table:
Total distance travelled by sales executive in Kolkata = 432 Km
Also, ratio of distance travelled by Rail to distance by road = 11 : 1
Hence, distance travelled by Rail in Kolkata =11/(11+1) × Total distance travelled in Kolkata =11/12 × 432 = 396 Km
Similarly, the distance travelled by rail in different cities is shown in the table below:
Cities
Distance
Travelled
(in km)
Distance by
Rail : Distance
By road
Distance
Travelled by
Rail(Km)
Kolkata
432
11 : 1
396
Chennai
4256
3 : 16
672
Mumbai
3528
5 : 13
980
Hyderabad
3350
7 : 18
938
Bengaluru
1456
4 : 9
448
Lucknow
2016
1 : 7
252
Delhi
1024
3 : 1
768
He travels maximum distance by rail in Mumbai i.e. 980 Km.
9. D) From the given table:
Total distance travelled by him in Chennai = 4256 Km
Ratio of distance travelled by Rail to distance by road = 3 : 16
Hence, distance travelled by rail =3/(3+16)× 4256 = 672 Km
From table, TA per Km while travelling by rail in Chennai = Rs. 12.90
TA earned by sales person = 672 × 12.90 = Rs. 8668.8
10. A) From the given table:
Total distance travelled in Hyderabad = 3350 Km
Ratio of distance travelled by Rail to distance by road = 7 : 18
Hence, distance travelled by road in Hyderabad =18/(7+18) × 3350 = 2412 Km
Also, total distance travelled in Lucknow = 2016
Ratio of distance travelled by Rail to distance by road = 1 : 7
Hence, distance travelled by road in Lucknow =7/(1+7) × 2016 = 1764
Required percentage = 2412/1764×100 = 136.73%