Q. What is the angle between the vectors A = 2i + 2j and B = 2i - 2j?
-
A.
0 degrees
-
B.
45 degrees
-
C.
90 degrees
-
D.
180 degrees
Solution
cos(θ) = (A · B) / (|A||B|) = (8) / (√8 * √8) = 1, θ = 0 degrees.
Correct Answer:
C
— 90 degrees
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Q. What is the angle between the vectors A = i + j and B = 2i + 2j?
-
A.
45 degrees
-
B.
60 degrees
-
C.
90 degrees
-
D.
30 degrees
Solution
cos(θ) = (A · B) / (|A||B|) = (1*2 + 1*2) / (√2 * √8) = 4 / (2√2) = √2. θ = 45 degrees.
Correct Answer:
A
— 45 degrees
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Q. What is the angular distance in degrees between two longitudes of 30°E and 90°E?
-
A.
60°
-
B.
90°
-
C.
120°
-
D.
150°
Solution
The angular distance is calculated as |90° - 30°| = 60°.
Correct Answer:
A
— 60°
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Q. What is the angular distance in degrees between two longitudes that are 1 hour apart in time? (2021)
-
A.
15 degrees
-
B.
30 degrees
-
C.
45 degrees
-
D.
60 degrees
Solution
The Earth rotates 360 degrees in 24 hours, so in 1 hour it rotates 360/24 = 15 degrees.
Correct Answer:
A
— 15 degrees
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Q. What is the angular distance in degrees between two longitudes that are 4 hours apart in time? (2021)
-
A.
60 degrees
-
B.
90 degrees
-
C.
120 degrees
-
D.
180 degrees
Solution
The Earth rotates 360 degrees in 24 hours, so in 1 hour it rotates 15 degrees. Therefore, in 4 hours, it rotates 4 * 15 = 60 degrees.
Correct Answer:
A
— 60 degrees
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Q. What is the angular distance in degrees between two meridians that are 1 hour apart in time? (2021)
-
A.
15 degrees
-
B.
30 degrees
-
C.
45 degrees
-
D.
60 degrees
Solution
The Earth rotates 360 degrees in 24 hours, so in 1 hour, it rotates 360/24 = 15 degrees.
Correct Answer:
A
— 15 degrees
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Q. What is the antonym of 'abundant'?
-
A.
Plentiful
-
B.
Scarce
-
C.
Sufficient
-
D.
Ample
Solution
'Scarce' is the opposite of 'abundant'.
Correct Answer:
B
— Scarce
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Q. What is the antonym of 'accept'? (2023)
-
A.
Receive
-
B.
Reject
-
C.
Allow
-
D.
Embrace
Solution
'Reject' is the opposite of 'accept', meaning to refuse to take or agree to something.
Correct Answer:
B
— Reject
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Q. What is the antonym of 'ancient'?
-
A.
Old
-
B.
Modern
-
C.
Historical
-
D.
Traditional
Solution
'Modern' is the opposite of 'ancient'.
Correct Answer:
B
— Modern
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Q. What is the antonym of 'complex'? (2023)
-
A.
Simple
-
B.
Complicated
-
C.
Difficult
-
D.
Intricate
Solution
'Simple' is the opposite of 'complex', indicating something that is easy to understand or do.
Correct Answer:
A
— Simple
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Q. What is the antonym of 'early'? (2023)
-
A.
Late
-
B.
Prompt
-
C.
Timely
-
D.
On-time
Solution
'Late' is the opposite of 'early'.
Correct Answer:
A
— Late
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Q. What is the antonym of 'expand'? (2022)
-
A.
Contract
-
B.
Grow
-
C.
Increase
-
D.
Enlarge
Solution
'Contract' is the opposite of 'expand', meaning to decrease in size.
Correct Answer:
A
— Contract
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Q. What is the antonym of 'frequent'?
-
A.
Rare
-
B.
Common
-
C.
Usual
-
D.
Regular
Solution
'Rare' is the opposite of 'frequent'.
Correct Answer:
A
— Rare
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Q. What is the antonym of 'happy'?
-
A.
Joyful
-
B.
Content
-
C.
Sad
-
D.
Cheerful
Solution
'Sad' is the opposite of 'happy'.
Correct Answer:
C
— Sad
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Q. What is the antonym of 'increase'? (2021)
-
A.
Expand
-
B.
Augment
-
C.
Diminish
-
D.
Enhance
Solution
'Diminish' is the opposite of 'increase', which means to make smaller or reduce.
Correct Answer:
C
— Diminish
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Q. What is the antonym of 'noisy'? (2023)
-
A.
Loud
-
B.
Quiet
-
C.
Boisterous
-
D.
Raucous
Solution
'Quiet' is the opposite of 'noisy', referring to a lack of sound.
Correct Answer:
B
— Quiet
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Q. What is the antonym of 'optimistic'? (2022)
-
A.
Hopeful
-
B.
Pessimistic
-
C.
Positive
-
D.
Confident
Solution
'Pessimistic' is the opposite of 'optimistic', indicating a tendency to see the worst aspect of things.
Correct Answer:
B
— Pessimistic
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Q. What is the antonym of 'simple'? (2019)
-
A.
Complicated
-
B.
Easy
-
C.
Straightforward
-
D.
Clear
Solution
'Complicated' is the opposite of 'simple', meaning something that is difficult to understand.
Correct Answer:
A
— Complicated
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Q. What is the antonym of 'succeed'? (2019)
-
A.
Fail
-
B.
Achieve
-
C.
Accomplish
-
D.
Win
Solution
'Fail' is the opposite of 'succeed', indicating a lack of success.
Correct Answer:
A
— Fail
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Q. What is the antonym of 'victorious'?
-
A.
Winning
-
B.
Triumphant
-
C.
Defeated
-
D.
Successful
Solution
'Defeated' is the opposite of 'victorious'.
Correct Answer:
C
— Defeated
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Q. What is the antonym of 'victory'? (2021)
-
A.
Success
-
B.
Defeat
-
C.
Triumph
-
D.
Win
Solution
'Defeat' is the opposite of 'victory', indicating loss.
Correct Answer:
B
— Defeat
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Q. What is the antonym of 'visible'? (2023)
-
A.
Obscure
-
B.
Clear
-
C.
Apparent
-
D.
Evident
Solution
'Obscure' means not visible or hard to see, which is the opposite of 'visible'.
Correct Answer:
A
— Obscure
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Q. What is the approximate area of India in square kilometers?
-
A.
3.28 million
-
B.
2.87 million
-
C.
4.12 million
-
D.
1.96 million
Solution
The approximate area of India is 3.28 million square kilometers.
Correct Answer:
A
— 3.28 million
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Q. What is the approximate circumference of the Earth at the equator?
-
A.
4000 km
-
B.
24000 km
-
C.
30000 km
-
D.
50000 km
Solution
The circumference of the Earth at the equator is approximately 24000 km.
Correct Answer:
B
— 24000 km
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Q. What is the approximate depth of the Earth's mantle?
-
A.
Up to 700 km
-
B.
Up to 2,900 km
-
C.
Up to 5,000 km
-
D.
Up to 6,371 km
Solution
The mantle extends from the base of the crust to about 2,900 km deep.
Correct Answer:
B
— Up to 2,900 km
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Q. What is the approximate depth of the Mohorovičić discontinuity (Moho)?
-
A.
5 km
-
B.
10 km
-
C.
30 km
-
D.
50 km
Solution
The Mohorovičić discontinuity (Moho) is located at an average depth of about 30 km beneath the Earth's surface.
Correct Answer:
C
— 30 km
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Q. What is the approximate distance in kilometers of one degree of longitude at the equator? (2019)
-
A.
60 km
-
B.
70 km
-
C.
111 km
-
D.
150 km
Solution
At the equator, one degree of longitude is approximately 111 kilometers.
Correct Answer:
C
— 111 km
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Q. What is the approximate distance in kilometers represented by 1 degree of latitude? (2021)
-
A.
111 km
-
B.
100 km
-
C.
90 km
-
D.
120 km
Solution
1 degree of latitude is approximately equal to 111 kilometers.
Correct Answer:
A
— 111 km
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Q. What is the approximate temperature at the boundary between the Earth's crust and mantle? (2020)
-
A.
200°C
-
B.
500°C
-
C.
1,000°C
-
D.
1,500°C
Solution
The temperature at the boundary between the Earth's crust and mantle is approximately 1,000°C.
Correct Answer:
C
— 1,000°C
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Q. What is the approximate temperature at the Earth's inner core? (2023)
-
A.
4000°C
-
B.
5000°C
-
C.
6000°C
-
D.
7000°C
Solution
The temperature at the Earth's inner core is estimated to be around 5000°C to 6000°C.
Correct Answer:
C
— 6000°C
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