Question : The ratio of three numbers is 2 : 3 : 5. If the sum of the three numbers is 275, then what is the largest among the three numbers?
Option 1: 142
Option 2: 82.5
Option 3: 137.5
Option 4: 152
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Correct Answer: 137.5
Solution : The ratio of three numbers = 2 : 3 : 5 Let the numbers be $2x$, $3x$ and $5x$. Since the sum of the three numbers = 275 ⇒ $2x + 3x + 5x$ = $275$ ⇒ $10x$ = $275$ ⇒ $x$ = $27.5$ Largest number = 5$x$ = 5 × 27.5 = 137.5 Hence, the correct answer is 137.5.
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Question : The ratio of three numbers is 3 : 6 : 8. If their product is 9216, then what is the sum of the three numbers?
Option 1: 96
Option 2: 72
Option 3: 144
Option 4: 68
Question : The ratio of three positive numbers is 2 : 3 : 5 and the sum of their squares is 608. The three numbers are:
Option 1: 2, 3 and 5
Option 2: 10, 15 and 25
Option 3: 8, 12 and 20
Option 4: 4, 6 and 10
Question : If the difference between the two numbers is 20 percent of their sum, then what is the ratio of larger number and smaller number?
Option 1: 6 : 5
Option 2: 5 : 4
Option 3: 4 : 3
Option 4: 3 : 2
Question : If the sum of three consecutive composite numbers is 36, then what is the product of the three numbers?
Option 1: 1460
Option 2: 1750
Option 3: 1680
Option 4: 1820
Question : Three numbers are such that their sum is 50, the product is 3750 and the sum of their reciprocals is $\frac{31}{150}$. Find the sum of the squares of the three numbers.
Option 1: $2500$
Option 2: $1250$
Option 3: $950$
Option 4: $122$
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