Q. Which of the following statements about multiples is true?
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A.
The multiples of a number are infinite.
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B.
The multiples of a number are always positive.
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C.
The first multiple of any number is the number itself.
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D.
All of the above.
Solution
All statements are true regarding multiples.
Correct Answer: D — All of the above.
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Q. Which of the following statements about number systems is true?
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A.
Base-10 is the only positional system
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B.
Base-2 can represent all integers
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C.
Base-16 is less efficient than base-10
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D.
Base-5 cannot represent fractions
Solution
Base-2 can represent all integers, as it is a complete positional system.
Correct Answer: B — Base-2 can represent all integers
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Q. Which of the following statements about numeral systems is correct?
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A.
All numeral systems are based on the same principles.
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B.
Different numeral systems can represent the same value.
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C.
The decimal system is the only system used in mathematics.
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D.
Base systems are irrelevant in modern computing.
Solution
Different numeral systems can represent the same value, such as the decimal 10 and binary 1010.
Correct Answer: B — Different numeral systems can represent the same value.
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Q. Which of the following statements about the number 30 is true?
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A.
It is a prime number
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B.
It has exactly 4 factors
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C.
It is a multiple of 5
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D.
It is not a composite number
Solution
30 is a multiple of 5, as it can be expressed as 5 multiplied by 6.
Correct Answer: C — It is a multiple of 5
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Q. Which of the following statements can be inferred from the passage about the future of digital sum? (2023)
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A.
It will become obsolete with the rise of quantum computing.
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B.
It will continue to evolve and integrate with new technologies.
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C.
It is likely to be replaced by simpler methods.
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D.
It will remain unchanged for the foreseeable future.
Solution
The passage suggests that digital sum will evolve and integrate with emerging technologies, indicating a promising future.
Correct Answer: B — It will continue to evolve and integrate with new technologies.
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Q. Which of the following statements can be inferred from the passage about the importance of digital sum? (2023)
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A.
Digital sum is obsolete in today's technology.
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B.
Understanding digital sum is crucial for data analysis.
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C.
Digital sum has no practical applications.
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D.
Only mathematicians need to understand digital sum.
Solution
The passage suggests that a solid understanding of digital sum is essential for effective data analysis in various fields.
Correct Answer: B — Understanding digital sum is crucial for data analysis.
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Q. Which of the following statements is logically consistent with the definition of a multiple?
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A.
A multiple of a number is always greater than the number itself.
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B.
A multiple of a number can be negative.
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C.
A multiple of a number is always an integer.
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D.
All of the above.
Solution
All statements are true; multiples can be negative, can be equal to the number, and are always integers.
Correct Answer: D — All of the above.
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Q. Which of the following statements is true regarding divisibility by 5?
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A.
A number must end in 0 or 5
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B.
A number must be even
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C.
A number must be a multiple of 10
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D.
A number must be a prime number
Solution
A number is divisible by 5 if it ends in either 0 or 5.
Correct Answer: A — A number must end in 0 or 5
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Q. Which of the following statements is true regarding modular arithmetic?
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A.
It is only applicable to integers.
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B.
It can be used for real numbers.
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C.
It is not useful in computer science.
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D.
It is only used in cryptography.
Solution
Modular arithmetic is primarily applicable to integers, making the first statement true.
Correct Answer: A — It is only applicable to integers.
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Q. Which of the following words best captures the essence of digital sum as described in the passage? (2023)
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A.
Obsolete.
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B.
Innovative.
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C.
Complicated.
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D.
Irrelevant.
Solution
The passage describes digital sum as innovative, reflecting its role in advancing technology.
Correct Answer: B — Innovative.
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