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1. The following graph shows the expenditure incurred in bringing a book, by a magazine producer. Study the graph and answer the questions given below.
1. What should be the central angle of the sector for the cost of the paper ?
57.6°
54.4°
56.7°
54.8°
Answer (c). 16% of 360° = 57.6°
2. If the miscellaneous charges are Rs. 6,000, the cost of paper is
Rs. 12,000
Rs. 18,000
Rs. 15,000
Rs. 24,000
Answer (d). 4% corresponds to Rs. 6,000, so 1% corresponds to Rs. 1500 and 16% corresponds to 16 x 1500 = Rs. 24,000
3. If 5500 copies are published, miscellaneous expenditures amount to Rs. 1,848, find the cost price of 1 copy.
Rs. 10.40
Rs. 9.40
Rs. 12.40
Rs. 8.40
Answer (d). 4% corresponds to Rs. 1,848, so 1% corresponds to Rs. 462 and 100% corresponds to 462 x 100 = Rs. 46,200. Cost of 5500 copies is Rs. 46,200, therefore cost of 1 copy is Rs. 8.40.
4. The cost of printing 100 copies was Rs. 10000/-, but the miscellaneous expenses just got doubled. What percentage of the total expenses are miscellaneous expenses?
6.58%
7.24%
7.69%
8.51%
Answer (c). Miscellaneous expenses which are 4% amount to Rs. 400/-. Doubling of misc expenses means the misc expenses are now Rs. 800/- and the total expenses are Rs. 10,400/-. 800 of 10400 is 7.69% of total expenses.
Practice Question 2
2. The following graph shows the Profits and Losses, (in thousand rupees) in a business for the years 2006-2011. Study the graph and answer the questions.
1. Which year exhibits the greatest change (positive or negative) in relation to the previous year?
2007
2008
2009
2010
Answer (d). 2009 witnessed a profit of Rs. 4.5 lakhs while 2010 saw a loss of 1 lakh rupees.
2. The amount of total loss incurred during 2006-2011 is
3 lakh rupees
2.5 lakh rupees
1.5 lakh rupees
2 lakh rupees
Answer (b). Total losses from 2006 to 2011 are 1.5 + 1.0 = 2.5 lakh rupees.
3. The ratio of the maximum profit earned to the minimum loss suffered is
4 : 3
3 : 4
9 : 2
2 : 9
Answer (c). Maximum profit = 4.5, minimum loss = 1.0. Therefore, the ratio is 45:10 or 9:2.
4. If the loss is x % of the profit for the years under study, then x is
15
25
20
19
Answer (c). Here loss = 2.5, profit = 12.5. Therefore the expression to be solved is 2.5 = x% of 12.5. x = 20.
5. What was the net loss or profit made by the company in 6 years?
11 lakhs
10.5 lakhs
12.5 lakhs
10 lakhs
Answer (d). Total profit = 12.5 lakhs and total loss = 2.5 lakhs. 12.5 - 2.5 = 10 lakhs.
Practice Question 3
3. The given histogram shows the average pocket money received by 60 students for a span of one month. Study the diagram and answer the questions given below.
1. Maximum number of students received pocket money between
50 - 80
140 - 170
80 - 110
110 - 140
Answer (a).
2. The number of students who received pocket money up to Rs. 140 is
20
32
48
56
Answer (c).
3. The number of students who received pocket money above Rs. 80 and upto Rs. 170 is
30
36
28
40
Answer (b).
4. What percentage of students receive pocket money between Rs. 140 and Rs. 170 when compared to those receiving between Rs. 50 and Rs. 80?
50
36
44
40
Answer (d).
5. If students receiving pocket money above Rs. 110 are from rich families and others from poor families, then what is the ratio of rich students to poor students?
7 : 8
5 : 6
14 : 15
8 : 7
Answer (a).
Practice Question 4
4. The number of mobile simcards in 4 states are given in multiple bar diagrams. Study the diagram and answer the questions.
1. In Assam, the ratio of XYZ simcard and MNO simcard sold is :
3 : 2
2 : 5
5 : 2
2 : 3
Answer (b).
2. Which state has the largest number of owners of XYZ simcard?
Tamil Nadu
Gujarat
Kerala
Assam
Answer (a).
3. Average of simcard sold in the four states in lakhs is
30.25
40.5
35
33.75
Answer (a). Total of all the sim cards in 4 states are 46, 38, 10 and 27 respectively. Average is (46+38+10+27)/4 = 30.25.
4. The range of ABC simcard sold in the 4 states in lakhs is :
12
15
14
13
Answer (d). Range is maximum simcard owners minus minimim simcard owners. 16 - 3 = 13.
5. Of all the simcards sold in all the four states, the number of simcards sold in Gujarat is (approx)
40%
38%
35%
42%
Answer (c). Total number of simcards sold in Gujarat is 46. Percentage of simcards sold in Gujarat to the total is 38% approximately.
Practice Question 5
5. The following pie-chart shows the details of 1500 employees working in a company in various scales and also the break-up of 800 male employees across the scales. Study the pie-charts carefully and answer the questions.
1. How many females are working in scale V?
180
144
96
84
Answer (d). 12% of 1500 is 180 and that of 800 is 96. 180 - 96 gives us 84.
2. The male-female ratio working in scale VII is
1 : 2
2 : 1
2 : 3
3 : 2
Answer (b). Total number of employees in scale VII is 120 and number of males is 80 and thus number of females is 120 - 80 = 40. Therefore, the male-female ratio is 80 : 40 or 2 : 1
3. The scales in which the number of working females is the same are
I and VI
I and III
III and VI
only III
Answer (a).
Scale
Total
Males
Females
I
330
192
138
II
225
144
81
III
285
128
157
IV
150
88
62
V
180
96
84
VI
210
72
138
VII
120
80
40
.
4. The number of scales in which the female workforce is less than the average female workforce is
5
2
3
None of these
Answer (d). The average female workforce is 100. Scales II, IV, V and VII have less number of females than the average.
5. Had the total number of employees working in the company been 1600 (800 male, 800 female) and pie charts of break-up across the scales the same, the percentage increase or decrease of female workforce in scale VII is
10% decrease
15% increase
20% decrease
20% increase
Answer (d). Total number of employees in scale VII would now be 8% of 1600 = 128. Number of females would be 128 - 80 = 48. An increase of 8 over 40 is 20% increase.
Practice Question 6
6. Study the following histogram and answer the questions given below.
1. The total number of students involved in the data is
33
32
43
42
Answer (a). 4 + 6 + 10 + 8 + 5 = 33.
2. If students getting more than 30 marks are considered passed, then what percentage of total students have passed (assume that all students in the interval 30 to 40 have scored more than 30 marks)?
45
39
35
30
Answer (b). 8 + 5 = 13 students have passed which is 39 percent of total of 33 students.
3. If 35 is the qualifying marks for promotion to the next grade and only 2 students in the 30 - 40 range scored above 35, then what is percentage of students who failed to qualify?
52
65
78
83
Answer (d). 2 students in the 30 - 40 range and 5 students in the 40 - 50 range have qualified. Thus a total of 33 - 7 = 26 students have not qualified, which is 78% of total.
4. The ratio of the students obtaining marks in the first and the last interval is
5 : 4
6 : 5
4 : 5
3 : 4
Answer (c). 4 : 5.
5. The least number of students got the marks in the interval
40 - 50
20 - 30
10 - 20
0 - 10
Answer (d). 4 students.
Practice Question 7
7. Given here is a multiple bar diagram depicting the changes in the students strength of a college in four faculties from 2007-08 to 2009-10. Study the diagram and answer the questions.
1. In which faculty was there a regular decrease in students strength ?
Arts
Science
Commerce
Law
Answer (a). Arts.
2. The percentage of students in Science faculty in 2007 – 08 was
26.9
27.8
29.6
30.2
Answer (c). Expression to be solved is (400/1350)x100 = 29.6.
3. The total students strength in 2008 – 09 was how many times that of Commerce students in the same year ?
3
4
5
6
Answer (d). 1500 is 6 times of 250.
4. What was the percent increase in Science students from the year 2007-08 to 2009 – 10 ?
50
66 2/3
75
150
Answer (a). Increase from 400 to 600. Increase in science students is 50%.
5. In which two years was the strength of non-science (Arts, Commerce and Law) students the same?
2007-08 and 2008-09
2008-09 and 2009-10
2007-08 and 2009-10
None
Answer (b). The strength of non-science students for 2008-09 and 2009-10 is 1000.
Practice Question 8
8. The pie-graph given below shows the break-up of the cost of construction of a house. Assuming that the total cost of construction is Rs. 6,00,000, answer the questions.
1. The amount spent on cement is
Rs. 2,00,000
Rs. 1,60,000
Rs. 1,20,000
Rs. 1,00,000
Answer (c). The amount spent on cement is 600000 x (72/360) = 1,20,000.
2. The amount spent on labour exceeds the amount spent on steel by
5% of the total cost
10% of the total cost
12% of the total cost
15% of the total cost
Answer (b).Amount spent on steel is 90,000 and amount spent on labour is 1,50,000. Amount on labour exceeds amount spent on steel by Rs.60,000. Rs.60,000 is 10% of Rs.6,00,000 (total cost).
3. The amount spent on cement, steel and supervision is what percent of the total cost of construction ?
40%
45%
50%
55%
Answer (c). Amount spent on cement is Rs.1,20,000, amount spent on steel is Rs.90,000 and amount spent on supervison is Rs.90,000. Total amount is Rs.3,00,000 or 50% of total cost of construction.
4. The amount spent on labour exceeds the amount spent on supervision by
Rs. 2,00,000
Rs. 16,000
Rs. 1,20,000
Rs. 60,000
Answer (d). The amount spent on labour is 1,50,000 and on supervision is 90,000. It exceeds by Rs.60,000.
5. The amount spent on Timber is
Rs. 60,000
Rs. 90,000
Rs. 70,000
Rs. 36,000
Answer (c). Amount spent on Timber is (42/360)x(600000) = Rs.70,000.
Practice Question 9
9. The following pie-chart shows the marks scored by a student in different subjects – viz. Physics (Ph), Chemistry (Ch), Mathematics (M), Social Science (SS) and English (E) in an examination. Assuming that total marks obtained for the examination is 810, answer the questions.
1. The subject in which the student obtained 135 marks is
Chemistry
English
Mathematics
Physics
Answer (b). (60/360) x (810) = 135.
2. The marks obtained in English, Physics and Social Science exceed the marks obtained in Mathematics and Chemistry by
10 1/9%
11%
11 1/9%
10%
Answer (c). Marks obtained in English, Physics and Social Science are represented by 60° + 85° + 55° = 200° while Mathematics and Chemistry are represented by 160°. The difference of 40° represents (40/360) x 810 = 90 marks. 90 of 810 is 11 1/9%.
3. The difference of marks between Physics and Chemistry is same as that between
Mathematics and English
English and Social Science
Physics and English
Chemistry and Social Science
Answer (d). Difference between Ph and Ch is represented by 15 degrees and so is the difference between Ch and SS.
4. The marks obtained in Mathematics and Chemistry exceed the marks obtained in Physics and Social Science by
40
45
50
30
Answer (c). Marks obtained in Mathematics and Chemistry are represented by 90° + 70° = 160° while Physics and Social Science are represented by 140°. The difference of 20° represents (20/360) x 810 = 50 marks.
5. The average of marks obtained in Mathematics, English and Chemistry is
165
200
155
148
Answer (a). Total marks obtained in Mathematics, English and Chemistry is represented by 90° + 70° + 60° = 220°. 220° represents (220/360) x 810 = 495 marks. 495/3 gives us 165 marks.
Practice Question 10
10. The graph shows Income and Expenditure of a company. Study the graph and answer the questions.
1. The expenditure from 2002 to 2004 increased by
33 1/3%
40%
10%
20%
Answer (a). There is an increase of 10 lakh. Expression to be solved = (10/30)x(100) = 33.3%.
2. The income in 2003 was equal to the expenditure in the year
2003
2004
2000
2001
Answer (b). 2004.
3. The profit was maximum in the year
2003
2004
2005
2002
Answer (c). Maximum difference between income and expenditure is 60 - 35 = 25.
4. The difference in profit between 2001 and 2002 is
Rs. 25 lakhs
No difference
Rs. 10 lakhs
Rs. 20 lakhs
Answer (c). Profit in the year 2002 and 2001 are 20 and 10 respectively. The difference is Rs. 10 lakhs.
5. The number of years in which the income exceeds the average income is
three
four
one
two
Answer (a). Average income is 240/5 = 48. Number of years in which the income exceeds the average income is 3.