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Arithmetic - Data Interpretation (Part 2)

Arithmetic - Chapter 12: Data Interpretation (Part 2)

Data Interpretation (Part 2)

Data Interpretation
Figure 1: Data interpretation from pie charts, bar graphs, and tables - Part 2.

1. Exercise (Questions 51-60)

Q51. In which institution, the percentage of students studying Commerce with respect to the total students of the institution is maximum?

  • (a) F
  • (b) E
  • (c) C
  • (d) A
Answer: (c) C has maximum percentage of Commerce students (30.12%)

Q52. For Company A, what is the percent decrease in production from 1994 to 1995?

  • (a) 75
  • (b) 50
  • (c) 25
  • (d) 10
Answer: (c) (4-3)/4 × 100 = 25%

Q53. In 2001, the production of Company B is approximately what percent of that in 2000?

  • (a) 60
  • (b) 157
  • (c) 192
  • (d) 50
Answer: (b) 11/7 × 100 ≈ 157%

Q54. For Company A, in which year is the percentage increase/decrease in production from the previous year the highest?

  • (a) 2001
  • (b) 1995
  • (c) 1999
  • (d) 1996
Answer: (d) 1996 has highest increase (166.67%)

Q55. What is the difference in the total production of the two companies for the given years?

  • (a) 2700000
  • (b) 3100000
  • (c) 270000
  • (d) 310000
Answer: (a) 58-31 = 2700000

Q56. Which is the closest average production (in lakh units) of Company B for the given years?

  • (a) 4.1
  • (b) 3.9
  • (c) 4.3
  • (d) 3.75
Answer: (b) 31/8 = 3.875 ≈ 3.9

Q57. In Kolkata, number of Specialist Officers is approximately what percent of Officers?

  • (a) 8.7
  • (b) 9
  • (c) 6.5
  • (d) 8
Answer: (d) 1200/14900 × 100 ≈ 8%

Q58. What is the difference between total number of Officers and Clerks?

  • (a) 29680
  • (b) 34180
  • (c) 32690
  • (d) 28680
Answer: (c) 105450 - 72760 = 32690

Q59. In Chennai, the number of Clerks is approximately how much percent more than that of Officers?

  • (a) 18
  • (b) 22
  • (c) 20
  • (d) 2
Answer: (b) (11000-9000)/9000 × 100 ≈ 22%

Q60. Which centre has 300% more number of Clerks as compared to those in Bangalore?

  • (a) Lucknow
  • (b) Mumbai
  • (c) Hyderabad
  • (d) Chennai
Answer: (c) Hyderabad has 20000 clerks (4 times Bangalore's 5000)

2. Exercise (Questions 61-70)

Q61. Which centre has the highest number of candidates?

  • (a) Delhi
  • (b) Kolkata
  • (c) Hyderabad
  • (d) Mumbai
Answer: (d) Mumbai has 44470 candidates

Q62. Investment of company B in 1997 is more by 40% than that in previous year. Income in 1997 was what percent of the investment in 1996?

  • (a) 280%
  • (b) 252%
  • (c) 242%
  • (d) 52%
Answer: (b) 180% × 140% = 252%

Q63. Average investment of company A over the years was ₹26 lakhs. What was its average income over the years?

  • (a) ₹40.56 lakhs
  • (b) ₹41.60 lakhs
  • (c) ₹50.26 lakhs
  • (d) Data inadequate
Answer: (d) Data inadequate

Q64. Income of company A in 1995 was ₹21.7 lakhs. What was the investment?

  • (a) ₹14.5 lakhs
  • (b) ₹15.4 lakhs
  • (c) ₹14 lakhs
  • (d) ₹14.6 lakhs
Answer: (c) 21.7 × 100/155 = ₹14 lakhs

Q65. Income of company A in 1995 is equal to the investment of company B in 1996. What is the ratio of the investment of company A in 1995 to investment of company B in 1996?

  • (a) 31:36
  • (b) 31:20
  • (c) 20:31
  • (d) Data inadequate
Answer: (c) 20:31

Q66. Investment of company B in 1993 was ₹15,40,000. What was its income in that year?

  • (a) ₹23.33 lakhs
  • (b) ₹22.33 lakhs
  • (c) ₹22.23 lakhs
  • (d) ₹23.23 lakhs
Answer: (b) 15.40 × 145/100 = ₹22.33 lakhs

Q67. What was the strength of Unit B in 1998?

  • (a) 142
  • (b) 125
  • (c) 159
  • (d) 207
Answer: (a) 132 + 9 - 2 + 3 = 142

Q68. In 1999 the strength of workers was maximum in which unit?

  • (a) A
  • (b) D
  • (c) C
  • (d) B
Answer: (a) Unit A has 192 workers

Q69. The strength of workers in unit C in 1996 is approximately what percent of the strength in unit E in 1997?

  • (a) 97
  • (b) 110
  • (c) 104
  • (d) 98
Answer: (c) 133/128 × 100 ≈ 104%

Q70. What was the total strength of workers in all five units in 1996?

  • (a) 647
  • (b) 570
  • (c) 690
  • (d) 670
Answer: (d) 160+139+133+107+131 = 670

3. Exercise (Questions 71-80)

Q71. What was the approximate increase/decrease in the strength of workers in unit D in 1998 with respect to its initial strength?

  • (a) 47.37% increase
  • (b) 64.47% decrease
  • (c) 64.47% increase
  • (d) 47.37% decrease
Answer: (c) 49/76 × 100 ≈ 64.47% increase

Q72. What is the total marks obtained by B in all subjects?

  • (a) 542
  • (b) 560.5
  • (c) 461.5
  • (d) 459.5
Answer: (c) 103.5+54+142+78+34.5+49.5 = 461.5

Q73. What is the average marks obtained by 6 students in Chemistry out of 75 marks?

  • (a) 52.5
  • (b) 70
  • (c) 55.5
  • (d) 62.5
Answer: (a) (420/6) × 75/100 = 52.5

Q74. What is the difference in the total marks obtained by C in Physics and Chemistry and that obtained by E in the same subjects?

  • (a) 38.75
  • (b) 33
  • (c) 42.75
  • (d) 43
Answer: (c) 181.5 - 138.75 = 42.75

Q75. What is the percent marks obtained by A in both Maths and History? (upto two decimal places)

  • (a) 72
  • (b) 77.67
  • (c) 48
  • (d) 73.33
Answer: (b) (233/300) × 100 = 77.67%

Q76. What is the ratio between the number of boys who have opted for only Hindi and the number of girls who have opted for the composite subject respectively?

  • (a) 15:16
  • (b) 10:7
  • (c) 10:9
  • (d) 11:12
Answer: (a) 30:32 = 15:16

Q77. How many boys have opted for the composite subject?

  • (a) 30
  • (b) 15
  • (c) 21
  • (d) 32
Answer: (b) 15 boys

Q78. How many girls have opted for only Sanskrit?

  • (a) 72
  • (b) 47
  • (c) 51
  • (d) 77
Answer: (b) 47 girls

Q79. For a person whose monthly salary is ₹6,000 p.m., how many items are there on which he has to spend more than ₹1,000 p.m?

  • (a) 1
  • (b) 2
  • (c) 3
  • (d) 4
Answer: (b) 2 items (Savings and House Rent)

Q80. The annual saving for such a person will be approximately:

  • (a) 5,000
  • (b) 10,000
  • (c) 15,000
  • (d) 16,560
Answer: (d) 6000 × 23% × 12 = ₹16,560

4. Exercise (Questions 81-90)

Q81. The monthly salary for a person who follows the same expense pattern, but has a petrol expense of ₹500 p.m., is:

  • (a) 2,500
  • (b) 3,000
  • (c) 5,000
  • (d) 6,500
Answer: (c) 10% = 500 ⇒ 100% = ₹5,000

Q82. The percentage of money spent on clothes and savings is equal to which other single item of expense?

  • (a) Petrol
  • (b) House rent
  • (c) Food
  • (d) Entertainment
Answer: (b) Clothes + Savings = House Rent

Q83. The angle made at the centre of the pie chart by the sector representing the expense on petrol is:

  • (a) 30°
  • (b) 45°
  • (c) 36°
  • (d) 90°
Answer: (c) 10% × 360° = 36°

Q84. What is the angle of the pie chart showing the expenditure incurred on royalty?

  • (a) 15°
  • (b) 24°
  • (c) 48°
  • (d) 54°
Answer: (d) 15% × 360° = 54°

Q85. The marked price of the book is 20% more than CP. If marked price is ₹30, then what is the cost of the paper used in a single copy?

  • (a) 6
  • (b) 5
  • (c) 4.5
  • (d) 6.50
Answer: (b) CP = 30/1.2 = 25. Paper cost = 25 × 20% = ₹5

Q86. Which two expenditures together will form an angle of 108° at the centre?

  • (a) A and E
  • (b) B and E
  • (c) A and D
  • (d) D and E
Answer: (c) 108° = 30% (A+D)

Q87. If the difference between the two expenditures are represented by 18 degrees in the diagram, then these expenditures must be:

  • (a) B and E
  • (b) A and C
  • (c) A and D
  • (d) D and E
Answer: (d) 18° = 5% (D and E difference)

Q88. The number of girls studying art in college is:

  • (a) 242
  • (b) 168
  • (c) 120
  • (d) 276
Answer: (b) 14% of 1200 = 168

Q89. For which subject is the number of boys the minimum?

  • (a) Law
  • (b) Biology
  • (c) Arts
  • (d) Maths
Answer: (a) Law has 0 boys (only girls)

Q90. For Political Science, what is the respective ratio of boys and girls?

  • (a) 4:3
  • (b) 3:4
  • (c) 2:3
  • (d) 4:5
Answer: (b) 270:360 = 3:4

5. Exercise (Questions 91-100)

Q91. The number of girls studying art is what percent more than the number of boys studying art?

  • (a) 170%
  • (b) 150%
  • (c) 80%
  • (d) 250%
Answer: (d) (168-48)/48 × 100 = 250%

Q92. Approximately how many degrees should there be in the angle of the sector for military expenditure?

  • (a) 312.4
  • (b) 341.4
  • (c) 241.4
  • (d) 212.4
Answer: (d) 59% × 360 = 212.4°

Q93. What is the ratio of military expenditure to veterans expenditure approximately?

  • (a) 59:6
  • (b) 1:10
  • (c) 54:10
  • (d) None of these
Answer: (d) 59:16

Q94. If India had a total expenditure of Rs. 120 billion, approximately how many billions did it spend on interest on debt?

  • (a) 8.10 billion
  • (b) 12.9 billion
  • (c) 10.8 billion
  • (d) 11.12 billion
Answer: (c) 120 × 9% = 10.8 billion

Q95. If 9 billion were spent for veterans, what would have been the total expenditure for that year?

  • (a) 150 billion
  • (b) 56.25 billion
  • (c) 140 billion
  • (d) 145 billion
Answer: (b) 9/16 × 100 = 56.25 billion

Q96. 50% of all the cars consisted of which colours of car?

  • (a) Black, Golden, Blue, Red
  • (b) Blue, Black, Red, Silver
  • (c) White, Golden, Blue, Black
  • (d) White, Blue, Green, Black
Answer: (c) 26+6+13+5 = 50%

Q97. Cars of which colour are 20% less popular than white coloured cars?

  • (a) Black
  • (b) Golden
  • (c) Red
  • (d) Blue
Answer: (b) 26 - 20 = 6% (Golden)

Q98. Cars of which colour are 13% less popular than white cars?

  • (a) Blue
  • (b) Green
  • (c) Silver
  • (d) Yellow
Answer: (a) 26 - 13 = 13% (Blue)

Q99. Cars of which colour when increased by two per cent and then combined with that of red cars will make 30 per cent of the total?

  • (a) Golden
  • (b) Blue
  • (c) Black
  • (d) None of these
Answer: (d) 30 - 19 = 11%, 11 - 2 = 9% (Green)

Q100. If in a certain period the total production of all cars was 95400 then how many more blue cars were sold than green?

  • (a) 2580
  • (b) 3618
  • (c) 2850
  • (d) 3816
Answer: (d) (13-9)% of 95400 = 4% of 95400 = 3816

6. Exercise (Questions 101-110)

Q101. In which year was the sale of 'Pep-up' the maximum?

  • (a) 1990
  • (b) 1991
  • (c) 1992
  • (d) 1989
Answer: (d) 1989 had highest sale (35 lakhs)

Q102. In the case of which soft drink was the average annual sale maximum in the given period?

  • (a) Pep-up only
  • (b) Cool-sip only
  • (c) Dew-drop only
  • (d) Cool-sip and Dew-drop
Answer: (a) Pep-up average = 26.66 lakhs (highest)

Q103. In the case of Cool-sip drink, what was the approximate percent increase in sale in 1992 over its sale in 1991?

  • (a) Less than 20
  • (b) 20-25
  • (c) 25
  • (d) 31-35
Answer: (c) (25-20)/20 × 100 = 25%

Q104. In the year 1990, what was the difference between the number of 'Pep-up' and 'Cool-sip' bottles sold?

  • (a) 50,000,000
  • (b) 5,00,000
  • (c) 50,000
  • (d) 10,00,000
Answer: (d) 30 - 20 = 10 lakhs = 10,00,000

Q105. What was the approximate percent drop in sale of Pep-up in 1990 over its sale in 1989?

  • (a) 5
  • (b) 12
  • (c) 14
  • (d) 20
Answer: (c) (35-30)/35 × 100 ≈ 14%

Q106. What is the average production of all the units (in lakh tons) for the year 2002?

  • (a) 89
  • (b) 92
  • (c) 87
  • (d) 95
Answer: (d) (110+60+110+100+105+85)/6 = 95

Q107. Average production of units A, B & C in 2001 is what percent of average production of units D, E & F in 2002?

  • (a) 109.43
  • (b) 90.37
  • (c) 91.38
  • (d) 106.43
Answer: (c) (265/3)/(290/3) × 100 = 91.38%

Q108. What is the ratio of total production for two years together for unit B to that for C?

  • (a) 17:13
  • (b) 9:14
  • (c) 11:13
  • (d) 19:13
Answer: (b) 135:210 = 9:14

Q109. Total production for two years together by unit F is what percent of the total production by unit D?

  • (a) 79.49
  • (b) 78.49
  • (c) 78.47
  • (d) 79.29
Answer: (a) 155/195 × 100 = 79.49%

Q110. What is the total production of units C, D & E together for both the years? (in lakh tons)

  • (a) 495
  • (b) 595
  • (c) 545
  • (d) 515
Answer: (b) 100+110+95+100+85+105 = 595

Complete Answer Key

51. (c)52. (c)53. (b)54. (d)55. (a)
56. (b)57. (d)58. (c)59. (b)60. (c)
61. (d)62. (b)63. (d)64. (c)65. (c)
66. (b)67. (a)68. (a)69. (c)70. (d)
71. (c)72. (c)73. (a)74. (c)75. (b)
76. (a)77. (b)78. (b)79. (b)80. (d)
81. (c)82. (b)83. (c)84. (d)85. (b)
86. (c)87. (d)88. (b)89. (a)90. (b)
91. (d)92. (d)93. (d)94. (c)95. (b)
96. (c)97. (b)98. (a)99. (d)100. (d)
101. (d)102. (a)103. (c)104. (d)105. (c)
106. (d)107. (c)108. (b)109. (a)110. (b)