# 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:

State | Gender RatioMale: Female | Literacy RatioLiterate: Illiterate |

A | 4: 3 | 9: 4 |

B | 5: 3 | 8: 5 |

C | 3: 2 | 9: 5 |

D | 3: 5 | 7: 3 |

E | 9: 7 | 5: 2 |

F | 3: 1 | 1: 3 |

G | 7: 9 | 2: 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.)**