Data Interpretation is one of the most important topics of Quantitative Aptitude section of SBI PO Exam. Aspirants must have clear understanding of the basic concepts of Average, Percentage, Profit and Loss, Ratio and Proportion etc. Solve the below DI quiz and strengthen your preparation for SBI PO exam 2018.
Direction (Question 1-5) : Study the following information carefully and answer the questions given below:
The number of students in each of the colleges A, B, C and D is given in the brackets ().
The vertical axis shows the percentage of students who have opted for Humanities, Commerce and Science respectively.
| School A(800) | School B(600) | School C(400) | School D(200) | |
| Humanities | 35 | 40 | 32 | 42 |
| Commerce | 36 | 32 | 24 | 18 |
| Science | 30 | 28 | 48 | 38 |
1. What is the average number of students who have opted for Science from all the schools taken together?
a) 172
b) 173
c) 176
d) 178
e) None of these
Ans: Option (b)
Explanation:
number of students who have opted for Science from all the schools taken together =
800×30/100 + 600× 28/100 + 400 ×48/100 + 200 ×38/100
=240+168+192+76
=692
Required average =692/4
=173
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2. What is the ratio of the total number of students who have opted for both Science and humanities together from School B to that from School C?
a) 4 : 5
b) 5 : 4
c) 3 : 2
d) 2 : 3
e) None of these
Ans: Option (b)
the total number of students who have opted for both Science and humanities together from School B = 600 × 28/100 + 600 ×40/100
=168+ 240
= 400
the total number of students who have opted for both Science and humanities together from School C= 400 ×32/100 + 400 ×48/100
= 128 +192
= 320
required ratio=400/320
= 5 : 4
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3. Which of the following combinations represent the schools with the minimum number of students who have opted for Science and the minimum number of students who have opted for humanities respectively?
a) A,C
b) A,D
c) B, C
d) D,B
e) None of these
Ans : Option (e)
Explanation:
Number of students opting Science –
In School A – 800× 30/100 = 240
In School B – 66 ×28/100 = 168
In School C – 400 ×48/100 = 192
In School D – 200 ×38/100 = 76
Hence minimum number of students opting Science is in School D.
Number of students opting Humanities –
In School A – 800× 35/100 = 280
In School B – 600 × 40/100 = 240
In School C – 400 × 32 /100 = 128
In School D – 200 ×42 /100 = 84
Hence minimum number of students opting Science is in School D.
4. What is the ratio of the number of students who have opted for Humanities from School C to those who have opted for the same subject from School A?
a) 16 : 35
b) 12 : 35
c) 16 : 37
d) 12 : 37
e) None of these
Ans: Option ( a)
Explanation:
number of students who have opted for Humanities from School C =400 ×32/100
= 128
number of students who have opted for Humanities from School A =800 ×35/100
=280
required ratio = 128/280
= 16 : 35
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5. The number of students who have opted for Science form School A is what per cent of the number of students who have opted for the same subject from School B?
a) 168
b) 148
c) 143
d) 145
e) None of these
Explanation:
number of students who have opted for Science form School A = 800 ×30/100
=240
number of students who have opted for Science form School B = 600 ×28/100
= 168
required percentage= 240 ×100/168
= 142.85
≅ 143
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