Question : The number of pupils in a class is 55. The ratio of the number of male pupils to the number of female pupils is 5 : 6. The number of female pupils is:
Option 1: 11
Option 2: 25
Option 3: 30
Option 4: 35
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Correct Answer: 30
Solution : Given: The number of pupils in a class = 55 Ratio of male and female = 5 : 6 Let the number of male and female pupils be 5x and 6x, respectively. So, the total number of pupils = 5x + 6x = 11x According to the question, 11x = 55 $\therefore$ x = 5 Number of female pupils = 6x = 6 × 5 = 30 Hence, the correct answer is 30.
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Question : Which of the given responses would be a meaningful order of the following?
1.Rivulet 2.Ocean 3.Tributary 4.River 5.Sea 6.Rain
Option 1: 6 5 3 1 2 4
Option 2: 6 4 1 3 5 2
Option 3: 6 1 3 4 5 2
Option 4: 5 6 1 3 2 4
Question : Directions: Which of the following interchange of numbers and mathematical signs would make the given equation correct? 30 ÷ 6 × 4 + 15 − 35 = 25
Option 1: 25 and 30; × and –
Option 2: 4 and 6; + and –
Option 3: 25 and 35; × and ÷
Option 4: 30 and 35; – and ÷
Question : Point A divides segment BC in the ratio 4 : 1. Coordinates of B are (6, 1) and coordinates of C are ($\frac{7}{2}$, $6$). What are the coordinates of point A?
Option 1: (4, 3)
Option 2: (4, 5)
Option 3: (2, 5)
Option 4: (3, 5)
Question : Two numbers are in the ratio 3 : 5. If 6 is added to each of them the ratio becomes 2 : 3. The numbers are:
Option 1: 21 and 35
Option 2: 30 and 50
Option 3: 24 and 40
Option 4: 18 and 30
Question : In a mixture of 25 litres, the ratio of milk to water is 4 : 1. Another 3 litres of water is added to the mixture. The ratio of milk to water in the new mixture is:
Option 1: 5 : 1
Option 2: 5 : 2
Option 3: 5 : 3
Option 4: 5 : 4
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