Q. If a company reallocates its budget from research and development to marketing, what is the likely impact on innovation? (2023)
A.
Innovation may increase due to better marketing.
B.
Innovation may decrease due to reduced funding for R&D.
C.
There will be no impact on innovation.
D.
Innovation will be maintained at the same level.
Show solution
Solution
Reallocating budget from R&D to marketing is likely to decrease innovation due to reduced funding for research, making option 1 correct.
Correct Answer:
B
— Innovation may decrease due to reduced funding for R&D.
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Q. If a company reports a significant increase in profits after implementing a new marketing strategy, which of the following can be inferred?
A.
The new marketing strategy is the sole reason for the profit increase.
B.
All companies should adopt similar marketing strategies.
C.
The company had no profits before the new strategy.
D.
The new marketing strategy may have contributed to the profit increase.
Show solution
Solution
While the new strategy may have contributed to the profit increase, it cannot be concluded that it is the sole reason without further evidence.
Correct Answer:
D
— The new marketing strategy may have contributed to the profit increase.
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Q. If a computer has 8 GB of RAM, how many bytes does it have?
A.
8,000,000 bytes
B.
8,589,934,592 bytes
C.
8,192,000 bytes
D.
8,000,000,000 bytes
Show solution
Solution
1 GB = 1,073,741,824 bytes. Therefore, 8 GB = 8 * 1,073,741,824 = 8,589,934,592 bytes.
Correct Answer:
B
— 8,589,934,592 bytes
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Q. If a computer has 8 GB of RAM, how many bytes of data can it hold?
A.
8,000,000 bytes
B.
8,589,934,592 bytes
C.
8,192 bytes
D.
8,000,000,000 bytes
Show solution
Solution
1 GB = 1,073,741,824 bytes, so 8 GB = 8 * 1,073,741,824 = 8,589,934,592 bytes.
Correct Answer:
B
— 8,589,934,592 bytes
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Q. If a concave lens has a focal length of -10 cm, what is the nature of the image formed when the object is placed at 5 cm?
A.
Real and inverted
B.
Virtual and upright
C.
Real and upright
D.
Virtual and inverted
Show solution
Solution
Concave lenses always produce virtual and upright images.
Correct Answer:
B
— Virtual and upright
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Q. If a concave lens has a focal length of -10 cm, what is the nature of the image formed when an object is placed at 5 cm from the lens?
A.
Real and inverted
B.
Virtual and upright
C.
Real and upright
D.
Virtual and inverted
Show solution
Solution
Concave lenses always produce virtual and upright images.
Correct Answer:
B
— Virtual and upright
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Q. If a concave lens has a focal length of -15 cm, what is its power?
A.
-6.67 D
B.
6.67 D
C.
-15 D
D.
15 D
Show solution
Solution
Power (P) = 1/f = 1/(-0.15) = -6.67 D.
Correct Answer:
A
— -6.67 D
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Q. If a concave lens has a focal length of -20 cm, what is the nature of the image formed when an object is placed at 30 cm from the lens?
A.
Real and inverted
B.
Virtual and upright
C.
Real and upright
D.
Virtual and inverted
Show solution
Solution
For a concave lens, the image formed is virtual and upright when the object is placed beyond the focal length.
Correct Answer:
B
— Virtual and upright
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Q. If a concave lens has a focal length of -20 cm, what is the nature of the image formed when an object is placed at 30 cm?
A.
Real and inverted
B.
Virtual and upright
C.
Real and upright
D.
Virtual and inverted
Show solution
Solution
The image formed by a concave lens is virtual and upright when the object is placed beyond the focal length.
Correct Answer:
B
— Virtual and upright
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Q. If a concave lens has a power of -5 D, what is its focal length? (2021)
A.
-20 cm
B.
-25 cm
C.
-15 cm
D.
-10 cm
Show solution
Solution
Power P = 1/f, thus f = 1/P = 1/(-5) = -0.2 m = -20 cm.
Correct Answer:
B
— -25 cm
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Q. If a concave mirror has a radius of curvature of 20 cm, what is its focal length?
A.
5 cm
B.
10 cm
C.
15 cm
D.
20 cm
Show solution
Solution
The focal length (f) of a concave mirror is half the radius of curvature (R). Therefore, f = R/2 = 20 cm / 2 = 10 cm.
Correct Answer:
B
— 10 cm
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Q. If a conductor is moved perpendicular to a magnetic field, what is the effect on the induced EMF?
A.
It is maximized
B.
It is minimized
C.
It becomes zero
D.
It fluctuates
Show solution
Solution
The induced EMF is maximized when the conductor moves perpendicular to the magnetic field lines.
Correct Answer:
A
— It is maximized
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Q. If a conductor moves through a magnetic field, what is the induced EMF dependent on?
A.
The speed of the conductor and the strength of the magnetic field
B.
The length of the conductor only
C.
The temperature of the conductor
D.
The type of material of the conductor
Show solution
Solution
The induced EMF is dependent on the speed of the conductor and the strength of the magnetic field it moves through.
Correct Answer:
A
— The speed of the conductor and the strength of the magnetic field
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Q. If a conference call is scheduled for 1 PM and lasts for 45 minutes, what time will it end?
A.
1:45 PM
B.
2 PM
C.
2:15 PM
D.
1:30 PM
Show solution
Solution
The call starts at 1 PM and lasts for 45 minutes, ending at 1:45 PM.
Correct Answer:
A
— 1:45 PM
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Q. If a conference is scheduled to last for 3 hours and must start between 1 PM and 3 PM, which of the following is a valid start time?
A.
12:30 PM
B.
1:30 PM
C.
2:45 PM
D.
3:15 PM
Show solution
Solution
1:30 PM is valid as it allows the conference to end by 4:30 PM, which is within the allowed time frame.
Correct Answer:
B
— 1:30 PM
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Q. If a conservation area is 500 hectares and 30% of it is designated for wildlife protection, how many hectares are protected?
A.
100 hectares
B.
150 hectares
C.
200 hectares
D.
250 hectares
Show solution
Solution
30% of 500 hectares = 0.30 * 500 = 150 hectares.
Correct Answer:
C
— 200 hectares
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Q. If a conservation program costs $200,000 and is expected to save 500 endangered species, what is the cost per species saved?
A.
$200
B.
$300
C.
$400
D.
$500
Show solution
Solution
$200,000 / 500 species = $400 per species.
Correct Answer:
A
— $200
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Q. If a constraint-based set is defined as 'the set of all x such that x is a multiple of 3 and x < 30', which of the following is an element of this set?
Show solution
Solution
27 is a multiple of 3 and is less than 30, making it an element of the set.
Correct Answer:
A
— 27
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Q. If a constraint-based set is defined as 'the set of all x such that x is a natural number and x < 10', which of the following is a valid representation of this set?
A.
{1, 2, 3, 4, 5, 6, 7, 8, 9}
B.
{0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
C.
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
D.
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}
Show solution
Solution
The correct representation of the set is {1, 2, 3, 4, 5, 6, 7, 8, 9}, as it includes all natural numbers less than 10.
Correct Answer:
A
— {1, 2, 3, 4, 5, 6, 7, 8, 9}
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Q. If a constraint-based set is defined as 'the set of all x such that x is an integer and 1 ≤ x ≤ 5', which of the following is a valid representation of this set?
A.
{1, 2, 3, 4, 5}
B.
{0, 1, 2, 3, 4, 5}
C.
{1, 2, 3, 4, 5, 6}
D.
{2, 3, 4, 5, 6}
Show solution
Solution
The valid representation of the set is {1, 2, 3, 4, 5} as it includes all integers within the specified range.
Correct Answer:
A
— {1, 2, 3, 4, 5}
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Q. If a constraint-based set is defined as {x | x is a letter in the English alphabet and x is a vowel}, which of the following letters is included in this set?
Show solution
Solution
The letter 'A' is included in the set of vowels in the English alphabet.
Correct Answer:
C
— A
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Q. If a constraint-based set is defined as {x | x is a multiple of 3 and x < 30}, how many elements does this set contain?
Show solution
Solution
The multiples of 3 less than 30 are 3, 6, 9, 12, 15, 18, 21, 24, 27, totaling 10 elements.
Correct Answer:
B
— 10
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Q. If a constraint-based set is defined as {x | x is a multiple of 3 and x < 30}, which of the following is NOT an element of this set?
Show solution
Solution
The number 31 is not an element of the set as it does not meet the constraints of being a multiple of 3 and less than 30.
Correct Answer:
D
— 31
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Q. If a constraint-based set is defined as {x | x is a real number and x^2 < 4}, what is the range of x?
A.
(-2, 2)
B.
[0, 2]
C.
(-∞, ∞)
D.
(0, 4)
Show solution
Solution
The inequality x^2 < 4 implies that x must be between -2 and 2, hence the range is (-2, 2).
Correct Answer:
A
— (-2, 2)
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Q. If a convex lens has a focal length of 15 cm, what is the power of the lens?
A.
+2.5 D
B.
+5 D
C.
+10 D
D.
+15 D
Show solution
Solution
Power (P) is given by P = 1/f (in meters). Thus, P = 1/0.15 = +6.67 D.
Correct Answer:
B
— +5 D
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Q. If a coral reef ecosystem can support 150 species of fish and 20% of these species are endangered, how many species are endangered?
Show solution
Solution
20% of 150 = 0.20 * 150 = 30 species are endangered.
Correct Answer:
B
— 25
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Q. If a country aims to reduce its carbon emissions by 20% each year, what will be the emissions after 2 years if the current emissions are 1,000 tons?
A.
640 tons
B.
800 tons
C.
600 tons
D.
720 tons
Show solution
Solution
Emissions after 2 years = 1,000 * (1 - 0.20)^2 = 1,000 * 0.64 = 640 tons.
Correct Answer:
A
— 640 tons
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Q. If a country contributes 10% of its GDP to international aid and its GDP is $1 trillion, how much does it contribute?
A.
$50 billion
B.
$100 billion
C.
$150 billion
D.
$200 billion
Show solution
Solution
Contribution = 10% of $1 trillion = 0.1 * $1 trillion = $100 billion.
Correct Answer:
B
— $100 billion
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Q. If a country contributes 15% of its GDP to international aid and its GDP is $2 trillion, how much does it contribute? (2019)
A.
$200 billion
B.
$250 billion
C.
$300 billion
D.
$350 billion
Show solution
Solution
Contribution = 15% of $2 trillion = 0.15 * 2 trillion = $300 billion.
Correct Answer:
C
— $300 billion
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Q. If a country has a GDP growth rate of 5% and its current GDP is $2 trillion, what will be the GDP after one year?
A.
$2.1 trillion
B.
$2.05 trillion
C.
$2.2 trillion
D.
$2.15 trillion
Show solution
Solution
GDP after one year = Current GDP * (1 + growth rate) = $2 trillion * 1.05 = $2.1 trillion.
Correct Answer:
B
— $2.05 trillion
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