Q. Which of the following non-metals is a key component of DNA?
A.
Oxygen
B.
Nitrogen
C.
Carbon
D.
Hydrogen
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Solution
Nitrogen is a key component of DNA, forming part of the nucleotides that make up the genetic code.
Correct Answer: B — Nitrogen
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Q. Which of the following numbers has 4 significant figures?
A.
0.0025
B.
2500
C.
25.00
D.
0.02500
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Solution
25.00 has 4 significant figures due to the trailing zeros after the decimal.
Correct Answer: C — 25.00
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Q. Which of the following numbers has the least number of significant figures?
A.
0.00345
B.
12.30
C.
100
D.
0.0456
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Solution
The number 100 has only 1 significant figure unless specified otherwise.
Correct Answer: C — 100
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Q. Which of the following numbers has the least significant figures?
A.
0.00560
B.
0.0560
C.
0.560
D.
5.60
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Solution
0.00560 has 3 significant figures, 0.0560 has 3 significant figures, 0.560 has 3 significant figures, and 5.60 has 3 significant figures. However, 0.00560 is the smallest number, but all have the same count of significant figures.
Correct Answer: A — 0.00560
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Q. Which of the following numbers has the most significant figures?
A.
0.00789
B.
7890
C.
7.890 x 10^3
D.
0.07890
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Solution
7.890 x 10^3 has 4 significant figures, while the others have 3, 3, and 4 respectively, but the leading zeros in the first and last options do not count.
Correct Answer: C — 7.890 x 10^3
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Q. Which of the following numbers has three significant figures?
A.
0.00456
B.
123.4
C.
1001
D.
0.0300
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Solution
0.0300 has three significant figures (the zeros after the 3 are significant because they come after a decimal point).
Correct Answer: D — 0.0300
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Q. Which of the following numbers is a factor of 48?
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Solution
12 is a factor of 48, as 48 divided by 12 equals 4, which is an integer.
Correct Answer: B — 12
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Q. Which of the following numbers is a multiple of both 4 and 6?
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Solution
12 is the smallest number that is a multiple of both 4 and 6.
Correct Answer: A — 12
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Q. Which of the following numbers is a multiple of both 8 and 12? (2023)
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Solution
The LCM of 8 and 12 is 24, which is a multiple of both.
Correct Answer: A — 24
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Q. Which of the following numbers is a perfect square?
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Solution
25 is a perfect square (5^2).
Correct Answer: C — 25
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Q. Which of the following numbers is divisible by 11?
A.
121
B.
123
C.
124
D.
125
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Solution
121 is divisible by 11, as 121 = 11 x 11.
Correct Answer: A — 121
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Q. Which of the following numbers is divisible by 15?
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Solution
A number is divisible by 15 if it is divisible by both 3 and 5. 30 meets both criteria.
Correct Answer: A — 30
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Q. Which of the following numbers is divisible by 8?
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Solution
A number is divisible by 8 if the last three digits form a number that is divisible by 8. 64 is divisible by 8.
Correct Answer: A — 64
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Q. Which of the following numbers is NOT a factor of 60?
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Solution
7 is not a factor of 60, as 60 cannot be divided evenly by 7.
Correct Answer: D — 7
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Q. Which of the following numbers is NOT a multiple of 6?
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Solution
35 is not a multiple of 6, while 18, 24, and 30 are all multiples of 6.
Correct Answer: D — 35
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Q. Which of the following numbers is NOT divisible by 12?
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Solution
55 is not divisible by 12, as it does not meet the criteria of being divisible by both 3 and 4.
Correct Answer: C — 55
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Q. Which of the following numbers is NOT divisible by 3?
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Solution
A number is divisible by 3 if the sum of its digits is divisible by 3. The sum of the digits of 22 (2 + 2 = 4) is not divisible by 3.
Correct Answer: C — 22
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Q. Which of the following numbers is NOT divisible by 7?
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Solution
40 is not divisible by 7, while 21, 28, and 35 are all multiples of 7.
Correct Answer: D — 40
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Q. Which of the following numbers is NOT divisible by 8?
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Solution
A number is divisible by 8 if the number formed by its last three digits is divisible by 8. 90 is not divisible by 8.
Correct Answer: D — 90
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Q. Which of the following numbers is NOT divisible by 9?
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Solution
A number is divisible by 9 if the sum of its digits is divisible by 9. The sum of the digits of 50 (5 + 0 = 5) is not divisible by 9.
Correct Answer: D — 50
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Q. Which of the following numbers is the largest in base-6?
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Solution
In decimal, '54' = 32, '45' = 29, '63' = 39, '36' = 22. '63' is the largest.
Correct Answer: C — 63
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Q. Which of the following numbers is the largest in base-8?
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Solution
'72' in base-8 is 58 in decimal, which is larger than the others.
Correct Answer: D — 72
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Q. Which of the following numbers is the largest? (2022)
A.
0.5
B.
1/3
C.
0.25
D.
0.75
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Solution
0.75 is greater than 0.5, 1/3 (0.333), and 0.25.
Correct Answer: D — 0.75
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Q. Which of the following operations will yield a result with the least number of significant figures?
A.
5.00 + 2.0
B.
3.00 x 4.0
C.
6.0 / 2.00
D.
1.5 - 0.50
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Solution
In the operation 3.00 x 4.0, 3.00 has three significant figures and 4.0 has two. The result will have two significant figures, which is the least among the options.
Correct Answer: B — 3.00 x 4.0
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Q. Which of the following options best completes the sentence: 'The research findings indicate that...'? (2023)
A.
the hypothesis was proven wrong.
B.
further studies are needed to confirm the results.
C.
the initial assumptions were correct.
D.
the data was inconclusive.
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Solution
The context suggests that research findings often lead to the conclusion that further studies are necessary, making option 2 the best completion.
Correct Answer: B — further studies are needed to confirm the results.
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Q. Which of the following options best completes the sentence: 'While technology has improved communication, it has also...'
A.
led to a decrease in face-to-face interactions.
B.
increased the quality of personal relationships.
C.
made information more accessible to everyone.
D.
reduced the need for traditional media.
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Solution
The sentence suggests a contrast, indicating that while there are benefits, there are also drawbacks such as reduced personal interactions.
Correct Answer: A — led to a decrease in face-to-face interactions.
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Q. Which of the following options best describes the relationship between wealth and education as presented in the passage?
A.
Wealth directly influences educational opportunities.
B.
Education has no impact on wealth accumulation.
C.
Wealth and education are independent of each other.
D.
Education is a byproduct of wealth.
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Solution
The passage indicates that wealth often determines access to quality education, establishing a direct influence.
Correct Answer: A — Wealth directly influences educational opportunities.
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Q. Which of the following options best fits in the blank: 'The rapid pace of technological change has led to a _______ in the workforce, requiring new skills and adaptability.'? (2023)
A.
stagnation
B.
transformation
C.
decrease
D.
uniformity
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Solution
The context indicates that the workforce is changing significantly, thus 'transformation' is the most appropriate choice.
Correct Answer: B — transformation
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Q. Which of the following options best illustrates a constraint-based set?
A.
The set of all even numbers.
B.
The set of all prime numbers.
C.
The set of all integers greater than 10.
D.
The set of all colors in a rainbow.
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Solution
The set of all integers greater than 10 is a clear example of a constraint-based set, as it imposes a specific condition on the elements.
Correct Answer: C — The set of all integers greater than 10.
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Q. Which of the following options best represents the sequence of events described in the passage? (2023)
A.
Event A, Event B, Event C.
B.
Event C, Event A, Event B.
C.
Event B, Event C, Event A.
D.
Event A, Event C, Event B.
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Solution
The passage outlines the events in the order of Event A, followed by Event B, and then Event C, making option 0 the correct sequence.
Correct Answer: A — Event A, Event B, Event C.
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