Question : In a class, the average score of girls in an examination is 73 and that of boys is 71. The average score for the whole class is 71.8. Find the percentage of girls:
Option 1: 40%
Option 2: 50%
Option 3: 55%
Option 4: 60%
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Correct Answer: 40%
Solution :
In the image, using the rule of alligation, we get, Boys = (73 – 71.8) = 1.2, Girls = (71.8 – 71) = 0.8 So the ratio of Boys : Girls = 1.2 : 0.8 = 3 : 2 $\therefore$ Percentage of Girls $=\frac{2}{5}×100 = 40$% Hence, the correct answer is 40%.
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Question : In an examination, 1100 boys and 900 girls appeared. 50% of the boys and 40% of the girls passed the examination. The percentage of candidates who failed:
Option 1: 45%
Option 2: 45.5%
Option 3: 50%
Option 4: 54.5%
Question : In a class of 1500 students, the percentage of girls is 30%. If 80% of the boys failed the examination, find the number of boys who passed the examination.
Option 1: 840
Option 2: 210
Option 3: 550
Option 4: 630
Question : 4 boys and 3 girls spent Rs. 120 on an average, of which boys spent Rs. 150 on an average. Then the average amount spent by the girls is:
Option 1: Rs. 80
Option 2: Rs. 60
Option 3: Rs. 90
Option 4: Rs. 100
Question : In a class of 60 students, the ratio of girls to boys is 2 : 3. If 20 more girls join the class, then what is the new number of girls in the class?
Option 1: 45
Option 2: 44
Option 3: 50
Option 4: 56
Question : In a class, the average weight of 4 boys is 50 kg and the average weight of 4 girls is 40 kg. What is the average weight of all the 8 students taken together?
Option 1: 44 kg
Option 2: 48 kg
Option 3: 45 kg
Option 4: 42 kg
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