Question : In a box, the ratio of the number of green stones to black stones is 5 : 8. If there are 24 black stones, then how many total stones are in the box?
Option 1: 13
Option 2: 39
Option 3: 26
Option 4: 24
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Correct Answer: 39
Solution : Let the number of green stones as 5$x$ and the number of black stones as 8$x$, where $x$ is a positive constant. Number of black stones = 24 ⇒ 8$x$ = 24 ⇒ $x$ = $\frac{24}{8}$ = 3 Total stones = 5$x$ + 8$x$ = 13$x$ = 13 × 3 = 39 Total stones = Number of green stones + Number of black stones = 15 + 24 = 39 Hence, the correct answer is 39.
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Question : In a box containing 45 bulbs, 12 are found to be defective. What is the ratio of the good bulbs to the total bulbs in the box?
Option 1: 8 : 13
Option 2: 5 : 8
Option 3: 7 : 11
Option 4: 11 : 15
Question : In a room, there are 36 women and 20 men. What is the ratio of men to the total number of people in that room?
Option 1: 14 : 11
Option 2: 5 : 14
Option 3: 5 : 11
Option 4: 5 : 13
Question : The following bar chart shows the number of bottles of green and red colours sold by 5 different shops. What is the ratio of the total number of green bottles sold by the 5 shops taken together to the total number of red bottles sold by the 5 shops taken together?
Option 1: 3 : 5
Option 2: 6 : 11
Option 3: 4 : 7
Option 4: 5 : 7
Question : Find the value of $\sqrt{\left[\left(13^2-8^2\right) \times 5+4\right]}$ :
Option 1: 22
Option 2: 24
Option 4: 23
Question : If the ratio of the volumes of two cylinders is 6 : 5 and the ratio of their heights is 5 : 24, then what is the ratio of their radii?
Option 1: 12 : 7
Option 2: 5 : 6
Option 3: 1 : 2
Option 4: 12 : 5
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