Q. Which of the following is the expanded form of (x + 2)²?
-
A.
x² + 4
-
B.
x² + 4x + 4
-
C.
x² + 2x + 2
-
D.
x² + 2
Solution
(x + 2)² = x² + 2*2*x + 2² = x² + 4x + 4.
Correct Answer:
B
— x² + 4x + 4
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Q. Which of the following is the highest court in India?
-
A.
High Court
-
B.
Supreme Court
-
C.
District Court
-
D.
Session Court
Solution
The Supreme Court is the highest judicial forum and final court of appeal under the Constitution of India.
Correct Answer:
B
— Supreme Court
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Q. Which of the following is the highest peak in India?
-
A.
K2
-
B.
Kangchenjunga
-
C.
Nanda Devi
-
D.
Mount Everest
Solution
Kangchenjunga is the highest peak in India, standing at 8,586 meters.
Correct Answer:
B
— Kangchenjunga
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Q. Which of the following is the largest desert in India? (2023)
-
A.
Thar Desert
-
B.
Kutch Desert
-
C.
Luni Desert
-
D.
Sahara Desert
Solution
The Thar Desert is the largest desert in India, located in the northwestern part of the country.
Correct Answer:
A
— Thar Desert
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Q. Which of the following is the largest desert in the world?
-
A.
Sahara Desert
-
B.
Arabian Desert
-
C.
Gobi Desert
-
D.
Antarctic Desert
Solution
The Antarctic Desert is the largest desert in the world, covering about 14 million square kilometers.
Correct Answer:
D
— Antarctic Desert
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Q. Which of the following is the largest prime number less than 20?
Solution
The largest prime number less than 20 is 19.
Correct Answer:
B
— 19
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Q. Which of the following is the largest river in India by length? (2022)
-
A.
Ganges
-
B.
Brahmaputra
-
C.
Godavari
-
D.
Yamuna
Solution
The Brahmaputra is the largest river in India by length, flowing for about 2,900 kilometers.
Correct Answer:
B
— Brahmaputra
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Q. Which of the following is the longest river in India?
-
A.
Godavari
-
B.
Ganges
-
C.
Brahmaputra
-
D.
Yamuna
Solution
The Brahmaputra is the longest river in India, flowing for about 2,900 kilometers.
Correct Answer:
C
— Brahmaputra
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Q. Which of the following is the longest river in the world? (2019)
-
A.
Amazon River
-
B.
Nile River
-
C.
Yangtze River
-
D.
Mississippi River
Solution
The Nile River is traditionally considered the longest river in the world, measuring about 6,650 kilometers.
Correct Answer:
B
— Nile River
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Q. Which of the following is the next number in the sequence: 2, 4, 8, 16, ...?
Solution
The sequence is a geometric progression where each term is multiplied by 2. The next number is 16 * 2 = 32.
Correct Answer:
C
— 32
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Q. Which of the following is the outermost layer of the Earth? (2022)
-
A.
Mantle
-
B.
Crust
-
C.
Outer Core
-
D.
Inner Core
Solution
The Crust is the outermost layer of the Earth, lying above the mantle.
Correct Answer:
B
— Crust
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Q. Which of the following is the smallest positive integer? (2023)
Solution
The smallest positive integer is 1.
Correct Answer:
B
— 1
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Q. Which of the following is the smallest Union Territory of India by area?
-
A.
Chandigarh
-
B.
Lakshadweep
-
C.
Dadra and Nagar Haveli
-
D.
Delhi
Solution
Lakshadweep is the smallest Union Territory of India by area.
Correct Answer:
B
— Lakshadweep
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Q. Which of the following is the southernmost point of mainland India? (2022)
-
A.
Kanyakumari
-
B.
Indira Point
-
C.
Cape Comorin
-
D.
Point Calimere
Solution
Kanyakumari is the southernmost point of mainland India.
Correct Answer:
A
— Kanyakumari
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Q. Which of the following is true about the International Date Line?
-
A.
It is at 0° longitude
-
B.
It is at 180° longitude
-
C.
It is at 90° longitude
-
D.
It is at 45° longitude
Solution
The International Date Line is located at 180° longitude.
Correct Answer:
B
— It is at 180° longitude
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Q. Which of the following is true for log_10(0.1)?
Solution
log_10(0.1) = log_10(10^-1) = -1.
Correct Answer:
A
— -1
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Q. Which of the following is true for log_a(b) + log_a(c)?
-
A.
log_a(bc)
-
B.
log_a(b/c)
-
C.
log_a(b-c)
-
D.
log_a(b+c)
Solution
log_a(b) + log_a(c) = log_a(bc) by the product property of logarithms.
Correct Answer:
A
— log_a(bc)
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Q. Which of the following is true for log_a(b) and log_a(c) if b < c? (2019)
-
A.
log_a(b) < log_a(c)
-
B.
log_a(b) > log_a(c)
-
C.
log_a(b) = log_a(c)
-
D.
None of the above
Solution
If a > 1, then log_a(b) < log_a(c) when b < c.
Correct Answer:
A
— log_a(b) < log_a(c)
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Q. Which of the following is true for log_a(bc)?
-
A.
log_a(b) + log_a(c)
-
B.
log_a(b) - log_a(c)
-
C.
log_a(bc) = log_a(b) * log_a(c)
-
D.
None of the above
Solution
log_a(bc) = log_a(b) + log_a(c) by the product rule of logarithms.
Correct Answer:
A
— log_a(b) + log_a(c)
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Q. Which of the following is true for the identity (a + b)³?
-
A.
a³ + b³
-
B.
a³ + 3a²b + 3ab² + b³
-
C.
a² + b²
-
D.
3ab
Solution
(a + b)³ = a³ + 3a²b + 3ab² + b³.
Correct Answer:
B
— a³ + 3a²b + 3ab² + b³
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Q. Which of the following is true for the identity (x + y)²?
-
A.
x² + y²
-
B.
x² + 2xy + y²
-
C.
x² - 2xy + y²
-
D.
2xy
Solution
(x + y)² = x² + 2xy + y².
Correct Answer:
B
— x² + 2xy + y²
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Q. Which of the following latitudes experiences the least variation in day length throughout the year?
-
A.
Equator
-
B.
Tropic of Cancer
-
C.
Arctic Circle
-
D.
Antarctic Circle
Solution
The Equator experiences approximately 12 hours of daylight and 12 hours of night throughout the year, showing the least variation.
Correct Answer:
A
— Equator
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Q. Which of the following latitudes is closest to the equator?
-
A.
10°N
-
B.
20°S
-
C.
30°N
-
D.
40°S
Solution
10°N is the closest latitude to the equator compared to the others.
Correct Answer:
A
— 10°N
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Q. Which of the following layers is liquid? (2019)
-
A.
Crust
-
B.
Mantle
-
C.
Outer Core
-
D.
Inner Core
Solution
The Outer Core is the only layer that is liquid, composed mainly of molten iron and nickel.
Correct Answer:
C
— Outer Core
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Q. Which of the following layers is responsible for tectonic plate movement? (2022)
-
A.
Crust
-
B.
Mantle
-
C.
Outer Core
-
D.
Inner Core
Solution
The Mantle, particularly the asthenosphere, is responsible for the movement of tectonic plates due to convection currents.
Correct Answer:
B
— Mantle
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Q. Which of the following layers is solid? (2022)
-
A.
Crust
-
B.
Outer Core
-
C.
Inner Core
-
D.
Mantle
Solution
The Inner Core is solid due to the immense pressure, despite its high temperature.
Correct Answer:
C
— Inner Core
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Q. Which of the following layers is the hottest part of the Earth? (2022)
-
A.
Crust
-
B.
Mantle
-
C.
Outer Core
-
D.
Inner Core
Solution
The Inner Core is the hottest part of the Earth, with temperatures reaching up to 5,700 degrees Celsius.
Correct Answer:
D
— Inner Core
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Q. Which of the following layers is the thickest part of the Earth? (2023)
-
A.
Crust
-
B.
Mantle
-
C.
Outer Core
-
D.
Inner Core
Solution
The mantle is the thickest layer of the Earth, making up about 84% of Earth's total volume.
Correct Answer:
B
— Mantle
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Q. Which of the following layers is the thickest?
-
A.
Crust
-
B.
Mantle
-
C.
Outer Core
-
D.
Inner Core
Solution
The mantle is the thickest layer of the Earth, extending about 2900 km.
Correct Answer:
B
— Mantle
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Q. Which of the following leaders was associated with the Civil Disobedience Movement? (1930)
-
A.
Jawaharlal Nehru
-
B.
Mahatma Gandhi
-
C.
Subhas Chandra Bose
-
D.
Sardar Vallabhbhai Patel
Solution
Mahatma Gandhi was the key leader associated with the Civil Disobedience Movement, which started in 1930.
Correct Answer:
B
— Mahatma Gandhi
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