Question : The ratio of the two numbers is 3 : 8 and their sum is 88. What is the value of the smaller number?
Option 1: 11
Option 2: 36
Option 3: 64
Option 4: 24
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Correct Answer: 24
Solution : Given, The ratio of the two numbers is 3 : 8 and their sum is 88. Let the two numbers be $3x$ and $8x$. So, $3x + 8x = 88$ ⇒ $11x = 88$ ⇒ $x = 8$ $\therefore$ The smaller number = 3$\times$8 = 24 Hence, the correct answer is 24.
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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 : Two numbers are in the ratio of 2 : 3. If their sum is 125, find the numbers.
Option 1: 50 and 75
Option 2: 24 and 36
Option 3: 20 and 30
Option 4: 32 and 78
Question : The sum of the two numbers is 520. If the bigger number is decreased by 4% and the smaller number is increased by 12%, then the numbers obtained are equal. The smaller number is:
Option 1: 280
Option 2: 210
Option 3: 240
Option 4: 300
Question : The ratio of the volume of the two cones is 2 : 3, and the ratio of the radii of their bases is 1 : 2. The ratio of their heights is:
Option 1: 3 : 8
Option 2: 8 : 3
Option 4: 3 : 4
Question : Two positive whole numbers are such that the sum of the first number and twice the second number is 8, and their difference is 2. The numbers are:
Option 1: 7 and 5
Option 2: 6 and 4
Option 3: 4 and 2
Option 4: 3 and 5
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