Directions for questions 1 – 5: Study the following graph carefully and answer the questions that follow. The graph shows the results of students in a school.

The difference of the number of students passed to those failed is minimum in which year?
A. 199192
B. 199293
C. 199394
D. 199495
Answer: A
The difference between the number of students passed to failed for 1991 92 = 150100 = 50
The difference between the number of students passed to failed for 1992 93 = 200100 = 100
The difference between the number of students passed to failed for 1993 94 = 30050 = 250
The difference between the number of students passed to failed for 1994 95 = 250100 = 150
The difference is minimum for 199192,So, answer is A option.
The difference between the number of students passed to failed for 1991 92 = 150100 = 50
The difference between the number of students passed to failed for 1992 93 = 200100 = 100
The difference between the number of students passed to failed for 1993 94 = 30050 = 250
The difference between the number of students passed to failed for 1994 95 = 250100 = 150
The difference is minimum for 199192,So, answer is A option.
2.How many times number of failed students is same?
A. 1
B. 2
C. 3
D. 4
Answer: D
By visual observation number of failed students is same in 199192, 199293, 199495,and 199596. Therefore, answer is four times.
By visual observation number of failed students is same in 199192, 199293, 199495,and 199596. Therefore, answer is four times.
3. What is an approximate percentage of students failed during 5 years?
A. 65%
B. 27%
C. 51%
D. 80%
Answer: B
For 199192 Passed = 150, Failed = 100
For 199293 Passed = 200, Failed = 100
For 199394 Passed = 300, Failed = 50
For 199495 Passed = 250, Failed = 100
for 199596 Passed = 300, Failed = 100
Required % = Total number of passed students / Total number of failed students = (100 + 100 + 50 + 100 + 100) / (250 + 300 + 350 + 350 + 400)
= 450 / 1650
= 27.27% ≅ 27%
For 199192 Passed = 150, Failed = 100
For 199293 Passed = 200, Failed = 100
For 199394 Passed = 300, Failed = 50
For 199495 Passed = 250, Failed = 100
for 199596 Passed = 300, Failed = 100
Required % = Total number of passed students / Total number of failed students = (100 + 100 + 50 + 100 + 100) / (250 + 300 + 350 + 350 + 400)
= 450 / 1650
= 27.27% ≅ 27%
4. When is the percentage increase in the total number of students maximum in comparison to the previous year?
A. 199596
B. 199495
C. 199394
D. 199293
Answer: D
In the year 199293, % increase = 100 x (300 – 250) / 250 = 20%
In the year 199394, % increase = 100 x (350 – 300) / 300 = (50 / 3)% = 16.6%
In the year 199495, % increase = 100 x (350 – 350) / 350 = 0%
In the year 199596, % increase = 100 x (400 – 350) / 350 = 14.2%.
Therefore, 20% is highest. Hence option A.
In the year 199293, % increase = 100 x (300 – 250) / 250 = 20%
In the year 199394, % increase = 100 x (350 – 300) / 300 = (50 / 3)% = 16.6%
In the year 199495, % increase = 100 x (350 – 350) / 350 = 0%
In the year 199596, % increase = 100 x (400 – 350) / 350 = 14.2%.
Therefore, 20% is highest. Hence option A.
5. What is an average number of students failed in the school in last 5 years?
A. 190
B. 180
C. 80
D. 90
Answer: D
Total number of failed students = 100 + 100 + 50 + 100 + 100 = 450
Therefore, the required average = 450/5 = 90
Total number of failed students = 100 + 100 + 50 + 100 + 100 = 450
Therefore, the required average = 450/5 = 90