Q. What is the significance of digital sum in the context of data analysis?
A.
It complicates the data analysis process.
B.
It is irrelevant to data analysis.
C.
It streamlines the data analysis process.
D.
It only applies to theoretical models.
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Solution
The passage highlights that digital sum streamlines the data analysis process, making it more efficient.
Correct Answer:
C
— It streamlines the data analysis process.
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Q. What is the significance of digital sum in the context of data integrity? (2023)
A.
It ensures that data is stored efficiently.
B.
It helps in verifying the accuracy of data.
C.
It reduces the size of digital files.
D.
It enhances the speed of data processing.
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Solution
Digital sum plays a crucial role in verifying the accuracy of data, ensuring data integrity in various applications.
Correct Answer:
B
— It helps in verifying the accuracy of data.
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Q. What is the smallest 3-digit number that is divisible by 9?
A.
108
B.
90
C.
99
D.
100
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Solution
The smallest 3-digit number is 100. The first number greater than or equal to 100 that is divisible by 9 is 108.
Correct Answer:
A
— 108
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Q. What is the smallest multiple of 9 that is greater than 50?
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Solution
The smallest multiple of 9 greater than 50 is 54.
Correct Answer:
A
— 54
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Q. What is the smallest number that is divisible by both 18 and 24?
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Solution
The LCM of 18 and 24 is 72, which is the smallest number divisible by both.
Correct Answer:
A
— 72
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Q. What is the sum of the decimal equivalents of '101' and '110' in binary?
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Solution
'101' is 5 and '110' is 6 in decimal. Their sum is 5 + 6 = 11.
Correct Answer:
C
— 7
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Q. What is the sum of the digits in the number '1011' in binary?
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Solution
The sum of the digits in '1011' is 1 + 0 + 1 + 1 = 3.
Correct Answer:
C
— 4
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Q. What is the sum of the digits of the number '123' in base 4?
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Solution
The digits are 1, 2, and 3. Their sum is 1 + 2 + 3 = 6.
Correct Answer:
A
— 6
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Q. What is the sum of the numbers '101' and '110' in binary?
A.
1011
B.
111
C.
1001
D.
1100
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Solution
In binary, '101' + '110' = '1011'.
Correct Answer:
A
— 1011
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Q. What is the sum of the numbers '12' and '21' in base-3?
A.
100
B.
110
C.
120
D.
200
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Solution
'12' in base-3 is 3 and '21' is 7. Their sum is 10, which is '100' in base-3.
Correct Answer:
A
— 100
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Q. What is the sum of the numbers 1010 (binary) and 1101 (binary) in decimal?
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Solution
First convert to decimal: 1010 = 10 and 1101 = 13. The sum is 10 + 13 = 23.
Correct Answer:
B
— 20
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Q. What is the tone of the passage regarding the challenges faced by digital sum?
A.
Pessimistic and negative.
B.
Cautious but hopeful.
C.
Indifferent and detached.
D.
Overly critical and harsh.
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Solution
The tone of the passage is cautious but hopeful, acknowledging challenges while emphasizing potential solutions.
Correct Answer:
B
— Cautious but hopeful.
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Q. What role does digital sum play in enhancing technology, according to the passage?
A.
It serves as a foundational principle for new inventions.
B.
It acts as a barrier to technological advancement.
C.
It complicates existing processes.
D.
It is irrelevant to modern technology.
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Solution
The passage indicates that digital sum serves as a foundational principle that supports and enhances new technological inventions.
Correct Answer:
A
— It serves as a foundational principle for new inventions.
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Q. What role does digital sum play in enhancing user experience according to the passage?
A.
It makes technology more accessible.
B.
It increases the speed of data retrieval.
C.
It personalizes user interactions.
D.
It reduces the need for technical knowledge.
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Solution
The passage indicates that digital sum contributes to making technology more accessible, thereby enhancing user experience.
Correct Answer:
A
— It makes technology more accessible.
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Q. What role does digital sum play in error detection according to the passage? (2023)
A.
It is irrelevant to error detection.
B.
It helps identify discrepancies in data.
C.
It complicates the error detection process.
D.
It is only useful in theoretical scenarios.
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Solution
The passage states that digital sum helps identify discrepancies in data, making it valuable for error detection.
Correct Answer:
B
— It helps identify discrepancies in data.
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Q. What role does digital sum play in error detection as per the passage? (2023)
A.
It identifies errors in data entry.
B.
It verifies the accuracy of calculations.
C.
It helps in correcting data automatically.
D.
It provides a checksum for data integrity.
Show solution
Solution
The passage states that digital sum provides a checksum, which is essential for maintaining data integrity and detecting errors.
Correct Answer:
D
— It provides a checksum for data integrity.
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Q. When 100 is divided by 6, what is the remainder?
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Solution
100 divided by 6 gives a quotient of 16 and a remainder of 4.
Correct Answer:
B
— 3
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Q. When 100 is divided by 8, what is the remainder?
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Solution
100 divided by 8 gives 12 with a remainder of 4 (100 - 96 = 4).
Correct Answer:
D
— 4
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Q. When 1000 is divided by 6, what is the remainder?
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Solution
1000 divided by 6 gives a remainder of 4.
Correct Answer:
B
— 3
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Q. When 1000 is divided by 9, what is the remainder?
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Solution
1000 divided by 9 gives a remainder of 1.
Correct Answer:
A
— 1
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Q. When 1001 is divided by 7, what is the remainder?
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Solution
1001 divided by 7 gives 143 with a remainder of 2 (1001 - 7*143 = 2).
Correct Answer:
B
— 1
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Q. When 256 is divided by 11, what is the remainder? (2023)
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Solution
256 divided by 11 gives a quotient of 23 and a remainder of 3 (256 - 23*11 = 3).
Correct Answer:
D
— 5
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Q. When 256 is divided by 15, what is the remainder? (2023)
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Solution
256 divided by 15 gives a quotient of 17 and a remainder of 1 (256 - 255 = 1).
Correct Answer:
A
— 1
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Q. When 45 is divided by 8, what is the remainder?
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Solution
45 divided by 8 gives a quotient of 5 and a remainder of 5.
Correct Answer:
B
— 4
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Q. When 45 is divided by a certain number, the remainder is 5. What could be the divisor? (2023)
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Solution
The divisor must be greater than the remainder, so 15 is a valid divisor (45 = 15*3 + 0).
Correct Answer:
C
— 15
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Q. When 56 is divided by a number, the remainder is 4. What could be the divisor? (2023)
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Solution
The divisor must be greater than the remainder, so 6 is a valid divisor (56 = 6*9 + 2).
Correct Answer:
B
— 6
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Q. When a number is divided by 11, it leaves a remainder of 7. What will be the remainder when this number is divided by 3? (2023)
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Solution
7 divided by 3 gives a remainder of 1 (7 = 3*2 + 1).
Correct Answer:
B
— 1
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Q. When a number is divided by 8, it leaves a remainder of 5. If this number is multiplied by 3, what will be the remainder when the result is divided by 8? (2023)
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Solution
Multiplying the number by 3 gives (8k + 5) * 3 = 24k + 15, which gives a remainder of 7 when divided by 8.
Correct Answer:
A
— 1
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Q. When a number is divided by 9, it leaves a remainder of 6. What will be the remainder when the same number is divided by 3?
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Solution
Since 6 mod 3 = 0, the remainder when the number is divided by 3 is also 0.
Correct Answer:
A
— 0
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Q. Which numeral system is commonly used in digital electronics and computing?
A.
Decimal
B.
Hexadecimal
C.
Binary
D.
Octal
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Solution
The binary system is the foundation of digital electronics and computing, as it represents data in two states.
Correct Answer:
C
— Binary
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