Question : Two line charts are given below. Line chart 1 shows the ratio of the number of males to the number of females in two companies A and B for the 5 years. Line chart 2 shows the total number of males (both companies A and B) and total number of females (both companies A and B) for the 5 years. What is the ratio of the number of males in company B in Y1 to the total number of females in company A in Y3 and Y5?
Option 1: 117 : 218
Option 2: 117 : 215
Option 3: 129 : 215
Option 4: 119 : 218
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Correct Answer: 117 : 215
Solution : Let the number of males and females in Y1 in company A be $11k$ and $10k$ respectively. In Y1, the number of males and females is $9a$ and $10a$ in company B. $11k+9a=21100$ (equation 1) $10k+10a=20600$ (equation 2) Solving the above equations, we get, $a=780$ The number of males in company B in Y1 $=9a=9\times780=7020$. Let the number of males and females in Y3 in company B be $27x$ and $20x$ respectively. (Since the ratio of male to female is 1.35) In Y3, the number of males and females is $16p$ and $20p$ in company A. (Since the ratio of male to female is 0.8) $27x+16p=18025$ (equation 3) $20x+20p=16000$ (equation 4) Solving the above equations, we get, $x=475$ and $p=325$ The number of females in company A in Y3 $=20p=20\times325=6500$. Let the number of males and females in Y5 in company A be $28q$ and $20q$ respectively. In Y5, the number of males and females is $17r$ and $20r$ in company B $28q+17r=13550$ (equation 5) $20q+20r=11800$ (equation 6) Solving the above equations, we get, $q=320$ The number of females in company A in Y5 $=20x=20\times320=6400$ So, the required ratio $=7020:(6500+6400)$ $⇒7020:12900=117:215$ Hence, the correct answer is 117: 215.
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Question : Two pie charts are given below. There are 6 departments in an office. Pie chart 1 shows the number of males in these 6 departments. The number of males in a particular department is shown as a percentage of total number of males in these 6 departments. Pie chart 2 shows the number of females in these 6 departments. The number of females in a particular department is shown as a percentage of the total number of females in these 6 departments. The difference between the number of males in B and C is 600 and the difference between the number of females in D and E is 900. What is the sum of the number of females in A, B, and F and the number of males in D, E, and A?
Option 1: 26,300
Option 2: 29,400
Option 3: 26,800
Option 4: 25,700
Question : Directions: The following bar diagram shows the total number of males and females in five different organisations. Study it carefully to answer the question.
What is the difference between the total number of females and the total number of males from all organisations together?
Option 1: 2005
Option 2: 2050
Option 3: 2500
Option 4: 2055
What is the ratio of the average number of females from organisations A, B, and C to the average number of males from organisations C, D, and E?
Option 1: 42 : 41
Option 2: 41 : 42
Option 3: 40 : 41
Option 4: 41 : 40
Question : The pie chart given below shows the number of tyres for 6 companies. The number of tyres of a particular company is shown as a percentage of the total number of tyres of these 6 companies. What is the sum of central angles formed by the sectors representing tyres of companies F and A?
Option 1: 84°
Option 2: 108°
Option 3: 144°
Option 4: 112°
Males from organisations A and B together form what percent of the total number of males from organisations C, D, and E together?
Option 1: 78.04%
Option 2: 87.44%
Option 3: 47.08%
Option 4: 74.08%
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