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Data Interpretation Quiz for Bank Exams and Other Competitive Exams 2016

Data Interpretation Quiz  for Bank Exams and Other Competitive Exams 2016

PROBLEM 1:

The Pie chart shows the population of various states in a certain year the total population being 60 lakhs.

The Population of Various States in a Certain Year.

The angles subtended at the center of the circle by different sectors are shown in degrees. The percentage of total population represented by that sector.

Total Population = 60, 00,000.

The Table below gives gender wise and literacy wise population ratio. Study the pie chart and the table and answer the questions that follow:

StateGender Ratio
Male: Female
Literacy Ratio
Literate: Illiterate
A4: 39: 4
B5: 38: 5
C3: 29: 5
D3: 57: 3
E9: 75: 2
F3: 11: 3
G7: 92: 1

(1.1) What is the approximate total of literates of States ‘B’ and ‘D’ together?

(a) 1288835 
(b) 1289538
(c)  690462
(d) 694026 
(e) None of these.

Solution: (literates of B) + (literates of D)
=> [(19 × 8/13) + (14 ×7/10)] × 60, 000. 
=> [152 +1274] ×60, 000/130.
=> 1426 ×6000/13.
= 1289538

(1.2)  The number of females in ‘A’, ‘C’ and ‘E’ is what percentage of the total population of all the above states (‘A’, ‘B’, ‘C’, ‘D’, ‘E’, ‘F’, ‘G’)?

(a) 12.91%.
(b) 42.13%
(c) 21.91% 
(d) 24.13%.
(e) None of these.

Solution:
Convert Degrees into percentage
Population of A = [82.8/360] ×100 = 23%
Population of C = [61.2/360] ×100 = 17%
Population of E = [43.2/360] ×100 = 12%
Females of A, C & E = [(23 × 3/7) + (17×2/5) + (12 ×7/16)]/100 × 60, 00, 000

No. of females of A, C & E is what % of total population
= [(69/7 + 34/5 + 84/16)/100] × 60, 00, 000/60, 00, 000
= [(69×80) + (102×34) + (35×84)/ (560)]/100
= [11928/560] × 100 = 21.91%

(1.3) If there be a decrease of 4% in the population of ‘E’ and an increase of 3% in the population of ‘F’, in the next year over the respective population of ‘F’ in the next year will be

(a) 163:128
(b) 125:101
(c) 123:103
(d) 128:103
(e) None of these.

Solution:
Present population of E = [43.2/360] ×6000000 = 7, 20, 000.
4% of 720000 = 28, 800.
Therefore, population of E next year = 7, 20, 000 – 28, 800 = 6, 91, 200
Present population of F = 9% of total population = 60, 00, 000 × 9/100 = 5, 40, 000
3% of population = 16, 200.
Therefore, population of F next year = 5, 40, 000 + 16, 200 = 5, 56, 200.
Therefore, Ratio of population of E to population of F next year
= 691200: 556200
= 128: 103 (approx.)

(1.4) The number of females in state F is approximate what percentage of the number of females in state ‘G’?

(a) 66.67%.
(b) 69.83%.
(c) 76.66%.
(d) 60.67%.
(e) None of these.

Solution:
       The population of State F = 9% of the total population = 5, 40, 000.
= 9% of the total population = 5, 40, 000.
Therefore, number of females in State F = 540000 × 1/ 4.
= 1, 35, 000.
The population of Stage G
= 6% of the total population = 3, 60, 000
Therefore, number of females in stage G = 3, 60, 000 × 9/16 = 2, 02, 500.
Therefore, number of females in State F = ((135000/ 202500) × 100)
= 66.67%

(1.5) If 68.8% of the females and 72% of the males are literate in state ‘D’, then the ratio of male literates to female literates in that state is,

(a) 109: 329
(b) 189: 301
(c)  131: 301
(d) 103: 329
(e) None of these.

Solution: Population of State D = 14% of the total population = 8, 40, 000
Male: Female ratio is 3:5
Therefore, number of males = 840000 × 3/8 = 3, 15, 000
Therefore, number of females = 840000 × 5/8 = 5, 25, 000
72% of males is 2, 26,800.
68.8% of females is 3, 61,200.
Therefore, the ratio of male literates to female literates is 226800:361200 or
189: 301.

(1.6) What is the ratio of the illiterates of State ‘A’ to those of State ‘G’ approximately?

(a) 177: 50.
(b) 137: 65
(c) 183: 71
(d) 127: 73
(e) None of these.

Explanation:
Population of State A = 13, 80, 000.
Therefore, illiterates in State A
= 1380000 × 4/13 = 4, 24, 615.
Population of State G = 3, 60, 000
Therefore, illiterates in State G
360000 × 1/3 = 1, 20, 000

Illiterates in State A: Illiterates in State G = 177:50 (approx.)




PROBLEM 2:

The Plan Outlays for the five-year Plans II, III, IV, V, VI, VII and VIII are shown in the pie chart.

Study the chart and answer the following questions:

The Plan Outlays for the Different Five Year Plans II, III, IV, V, VI, VII and VIII (Rupees in Crores)

(2.1) What is the approximate minimum percentage increase in the outlay of plan as compared to its immediately preceding Plan?

(a) 86.3

(b) 83.6

(c) 80.3

(d) 63.6

Solution: 83.58.

Explanation: The minimum percentage increase in the outlay of a plan as compared to its immediately preceding plan occurs in the case of plan III over plan II and it is 83.6%.

8577 – 4672 = 3905

= (3905/4672) × 100

= 58 = 6% (approx.)

(2.2) What is the average yearly outlay in the VIII Plan?

(a) 88620

(b) 86620

(c) 86280

(d) 86820

Answer: 434100/5 =86820 crore.

(2.3) The outlay in the Vth plan is what percentage of the outlay in the VII plan?

(a) 18.70

(b) 17.80

(c) 18.07

(d) 17.08

Answer: (39426/221436) × 100 = 17.80 %.

(2.4) The outlay in the VIIIth plan is approximately how many times the outlay of the IInd plan?

(a) 90

(b) 96

(c) 93

(d) 99

Answer: (434100/4672) = 92.92 = 93(Approx.)

(2.5) If the outlay for the VIIIth plan is reduced by 23.65 %, then the ratio of the plan outlays for the VIIIth and VIIth plans would be approximate?

(a) 1: 3 

(b) 3: 1 

(c) 3: 2 

(d) 2: 3

Answer:

3:1

Explanation:

434100  × 23.65% = 102665

and  434100 – 102665 = 331435

Therefore, 331435 : 110467 = 3:1 (approx.)

 

 

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