Question : The product of two positive integers is 2048, and one of them is twice the other. The smaller number is:
Option 1: 32
Option 2: 64
Option 3: 16
Option 4: 1024
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Correct Answer: 32
Solution : Given: 1st number is twice of the 2nd number. Let the two numbers be $x$ and $2x$ respectively. According to the question, $x\times 2x = 2048$ ⇒ $2x^{2} = 2048$ ⇒ $x^{2} = \frac{2048}{2} = 1024$ ⇒ $x = \sqrt{1024} = 32$ So, the smaller number is 32. Hence, the correct answer is 32.
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Question : The product of two positive integers is 2048 and one of them is twice the other. The smaller number is:
Question : One number is 25% of another number. The larger number is 12 more than the smaller one. The larger number is:
Option 1: 48
Option 2: 16
Option 3: 4
Option 4: 12
Question : The average of five consecutive positive integers is n. If the next two integers are also included, the average of all these integers will:
Option 1: increase by 1.5
Option 2: increase by 1
Option 3: remain the same
Option 4: increase by 2
Question : The sum of two positive integers is 80 and the difference between them is 20. What is the difference between the squares of those numbers?
Option 1: 1400
Option 2: 1600
Option 3: 1800
Option 4: 2000
Question : Which one of the following is the minimum value of the sum of two integers whose product is 24?
Option 1: 25
Option 2: 11
Option 3: 8
Option 4: 10
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