Data Interpretation for SBI PO 2017



Directions (1 – 5): Following Annual dividend offered by two companies over the given years
1. In the year 1982, Suraj invested Rs. 30000 in Company C. How much more or less dividend would he have received had the amount been invested in Company D?
a) Rs. 600 more
b) Rs. 300 less
c) Rs. 600 less
d) Rs. 300 more
e) None of these
2. Bhavna invested different amounts in Companies C and D in 1981 in the ratio of 4: 7. What will be the ratio of the total dividend obtained by him from both companies?
a) 2 : 5
b) 15: 17
c) 24: 77
d) Cannot be determined
e) None of these
3. An amount of Rs.15000 was invested in Company C in 1983. After one year the same amount was re-invested for one more year. What was the total amount received at the end of two years?
a) Rs.58050
b) Rs.71150
c) Rs.19350
d) Rs.71510
e) None of these
4. Anu invested Rs.50000 in Company D in 1985. After one year she transferred the entire amount with dividend to Company C in 1986 for one year. What amount will be received back by Anu including dividend?
a) Rs. 24875
b) Rs. 49970
c) Rs. 66125
d) Rs. 85450.9
e) None of these
5. Ganga invested total amount of Rs.20000 in 1984 for one year in the two companies together and got a total dividend of Rs. 3000. What was the amount invested in Company C?
a) Rs.18000
b) Rs.9000
c) Rs.10000
d) Cannot be determined
e) None of these
Directions (6 – 10): Read the following information carefully and answer the questions based on it: In 6 educational years, number of students taking admission and leaving from the 5 different schools which are founded in 1990 are given below.
(Assume that all the admissions and leavings take place in the beginning of academic year only)
School
A
B
C
D
E
Ad
L
Ad
L
Ad
L
Ad
L
Ad
L
1990
1025
-
950
-
1100
-
1500
-
1450
-
1991
230
120
350
150
320
130
340
150
250
125
1992
190
110
225
115
300
150
300
160
280
130
1993
245
100
185
110
260
125
295
120
310
120
1994
280
150
200
90
240
140
320
125
340
110
1995
250
130
240
120
310
180
360
140
325
115
In the above table shown Ad = Admitted, L = Left 
6. In which of the following schools, percentage increase in the number of students form the year 1990 to 1995 is maximum?
a) A
b) B
c) C
d) D
e) E
7. What is the difference in the number of students taking admission from 1990 to 1993 in school B and A?
a) 20
b) 22
c) 18
d) 24
e) None of these
8. Number of students leaving school E from the year 1990 to 1995 is approximately what percentage of number of students taking admission in the same school and in the same year range?
a) 20 %
b) 22%
c) 18%
d) 22.5%
e) None of the above
9. What was the number of students studying in school E in 1995?
a) 2355
b) 2533
c) 2535
d) 2353
e) None of these
10. What is the average number of students studying in the schools A, B, C the year 1993? (Nearest integer)
a) 1423
b) 1324
c) 1426
d) 1624
e) None of these
Solutions:
1. D) Dividend obtained from C = 14% of 30000 = 30000 × 14/100 = Rs. 4200                              ---(1)
Dividend from D = 15% of 30000 = 30000 × 15/100 = Rs. 4500                              ---(2)
From 1 and 2,
He would have received Rs. 300 more.
2. C) Dividend from C = 12%
Dividend from D = 22%
Ratio of total dividend = (4 × 12): (7 × 22)
Thus, required ratio is 24: 77
3. C) Amount invested in C in 1983 = Rs. 15000
Dividend in 1983 = 16%
Dividend in 1984 = 13%
Amount returned after 2 years = 15,000 + 16% of 15000 + 13% of 15000 = 15000 [100 + 16 + 13]/100 = 150 × 129 = 19350
Thus, the required amount is Rs. 19350.
4. C) Total amount returned by Company D in 1985 including dividend
= 50000 + (50000 × 15/100) = 50000 + 7500 = Rs. 57500                                        ---(1)
Amount invested in C in 1986 = Rs. 57500
Dividend = 15%
Total amount returned
= 57500 + (57500 × 15/100) = 57500 + 8625 = Rs. 66125.
Thus, required amount is Rs. 66125.
5. C) Let the amount invested in C = Rs. x
Amount invested in D = Rs. 20000 – x
Total amount she got back from both companies = Rs. 3000
(x × 13/100) + [(20000 – x) × 17/100] = 3000
(13x + 340000 – 17x)/100 = 3000
x = 10000
Thus, she invested Rs. 10,000 on C
6. B) For A:
Number of students in 1990 = 1025
Number of students in 1995 = 1025 + (230 – 120) + (190 – 110) + (245 – 100) + (280 – 150) + (250 – 130)
Number of students in 1995 = 1600
% increase = (1600 – 1025)/1025 × 100 = 56.09
For B:
Number of students in 1990 = 950
Number of students in 1995 = 950 + (350 – 150) + (225 – 115) + (185 – 110) + (200 – 90) + (240 – 120)
Number of students in 1995 = 1565
% increase = (1565 – 950)/950 × 100 = 64.73
For C:
Number of students in 1990 = 1100
Number of students in 1995 = 1100 + (320 – 130) + (300 – 150) + (260 – 125) + (240 – 140) + (310 – 180)
Number of students in 1995 = 1805
% increase = (1805 – 1100)/1100 × 100 = 64.09
For D:
Number of students in 1990 = 1500
Number of students in 1995 = 1500 + (340 – 150) + (300 – 160) + (295 – 120) + (320 – 125) + (360 – 140)
Number of students in 1995 = 2420
% increase = (2420 – 1500)/1500 × 100 = 61.33
For E:
Number of students in 1990 = 1450
Number of students in 1995 = 1450 + (250 – 125) + (280 – 130) + (310 – 120) + (340 – 110) + (325 – 115)
Number of students in 1995 = 2355
% increase = (2355 – 1450)/1450 × 100 = 62
the greatest percentage rise is for school B
7. A) Number of students taking admission from 1990 to 1993 = 1025 + 230 + 190 + 245
Total number of students = 1690   ---(1)
For B:
Number of students taking admission from 1990 to 1993 = 950 + 350 + 225 + 185
Total number of students = 1710   ---(2)
From equations (1) and (2) we get,
Difference = 1710 – 1690
Difference = 20
the difference in the number of students taking admission between the years 1990 and 1993 in school B and A is 20
8. A) Number of students admitted in school E from 1990 to 1995 = 1450 + 250 + 280 + 310 + 340 + 325
Admitted students = 2955  ---(1)
Number of students who left school E from 1990-1995 = 0 + 125 + 130 + 120 + 110 + 115
Number of students who left = 600   --(2)
From equations (1) and (2) we get,
Required percentage = 600/2955×100 = 20.30
Required percentage = 20.30 ≈ 20%
9. A) Number of students studying in school E in 1995 = Number of students studying in school E in 1994 + Number of Admitted students in 1995 – Number of students who left in 1995
total number of students = (1450 + (250 – 125) + (280 – 130) + (310 – 120) + (340 – 110)) + 325 – 115
Total number of students = 2355
the number of students studying in school E in 1995 was 2355.
10. A) For A:
Number of students in A in 1993 = Number of students in A in 1992 + Number of admitted students in 1993 – Number of students who left in 1993
Total number of students = (1025 + (230 – 120) + (190 – 110)) + 245 – 100
Total number of students = 1360 ---(1)
For B:
Number of students in B in 1993 = Number of students in B in 1992 + Number of admitted students in 1993 – Number of students who left in 1993
Total number of students = (950 + (350 – 150) + (225 – 115)) + 185 – 110
Total number of students = 1335 ---(2)
For C:
Number of students in C in 1993 = Number of students in C in 1992 + Number of admitted students in 1993 – Number of students who left in 1993
Total number of students = (1100 + (320 – 130) + (300 – 150)) + 260 – 125
Total number of students = 1575 ---(3)
from equations (1) (2) and (3) we get,
Total number of students in schools A, B and C in 1993 = 1360 + 1335 + 1575
Total number of students in schools A, B and C in 1993 = 4270
Average number of students = 4270/3 = 1423.33 ≈ 1423
The average number of students studying in the schools A, B, C the year 1993 is 1423