Q. In which year did the first manned moon landing occur? (1969)
-
A.
1965
-
B.
1967
-
C.
1969
-
D.
1971
Solution
The first manned moon landing occurred on July 20, 1969.
Correct Answer:
C
— 1969
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Q. In which year did the Gulf War begin? (1990)
-
A.
1988
-
B.
1990
-
C.
1991
-
D.
1993
Solution
The Gulf War began on August 2, 1990, when Iraq invaded Kuwait.
Correct Answer:
B
— 1990
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Q. In which year did the Paris Agreement on climate change come into force? (2016)
-
A.
2015
-
B.
2016
-
C.
2017
-
D.
2018
Solution
The Paris Agreement on climate change came into force on November 4, 2016.
Correct Answer:
B
— 2016
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Q. In which year did the Quit India Movement take place? (1942)
-
A.
1942
-
B.
1947
-
C.
1930
-
D.
1920
Solution
The Quit India Movement was launched in 1942 as a mass protest demanding an end to British rule in India.
Correct Answer:
A
— 1942
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Q. In which year did the United Nations General Assembly adopt the Universal Declaration of Human Rights? (1948)
-
A.
1945
-
B.
1948
-
C.
1950
-
D.
1960
Solution
The Universal Declaration of Human Rights was adopted by the United Nations General Assembly on December 10, 1948.
Correct Answer:
B
— 1948
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Q. In which year did the United Nations officially come into existence? (1945)
-
A.
1945
-
B.
1950
-
C.
1960
-
D.
1975
Solution
The United Nations was established on October 24, 1945.
Correct Answer:
A
— 1945
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Q. In which year did the World Health Organization declare COVID-19 a pandemic? (2020)
-
A.
2018
-
B.
2019
-
C.
2020
-
D.
2021
Solution
The WHO declared COVID-19 a pandemic on March 11, 2020.
Correct Answer:
C
— 2020
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Q. In which year was the first general election held in India? (1952)
-
A.
1951
-
B.
1952
-
C.
1953
-
D.
1954
Solution
The first general election in India was held in 1952.
Correct Answer:
B
— 1952
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Q. In which year was the first manned moon landing by NASA's Apollo 11 mission? (1969)
-
A.
1965
-
B.
1967
-
C.
1969
-
D.
1971
Solution
NASA's Apollo 11 mission successfully landed the first humans on the moon on July 20, 1969.
Correct Answer:
C
— 1969
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Q. In which year was the Government of India Act passed, which provided for a diarchy in the provinces? (1935)
-
A.
1919
-
B.
1935
-
C.
1947
-
D.
1920
Solution
The Government of India Act was passed in 1935.
Correct Answer:
B
— 1935
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Q. In which year was the Government of India Act passed, which provided for a limited form of self-government? (1935)
-
A.
1919
-
B.
1935
-
C.
1947
-
D.
1920
Solution
The Government of India Act was passed in 1935.
Correct Answer:
B
— 1935
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Q. In which year was the Indian Independence Act passed? (1947)
-
A.
1947
-
B.
1945
-
C.
1946
-
D.
1948
Solution
The Indian Independence Act was passed in the year 1947, leading to the independence of India.
Correct Answer:
A
— 1947
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Q. In which year was the Kyoto Protocol adopted to combat climate change? (1997)
-
A.
1997
-
B.
2000
-
C.
2005
-
D.
2010
Solution
The Kyoto Protocol was adopted on December 11, 1997.
Correct Answer:
A
— 1997
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Q. In which year was the Paris Agreement on climate change adopted? (2015)
-
A.
2015
-
B.
2016
-
C.
2017
-
D.
2018
Solution
The Paris Agreement was adopted on December 12, 2015, during COP21.
Correct Answer:
A
— 2015
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Q. In which year was the Right to Education Act enacted? (2009)
-
A.
2005
-
B.
2009
-
C.
2010
-
D.
2012
Solution
The Right to Education Act was enacted in 2009, making education a fundamental right for children aged 6 to 14.
Correct Answer:
C
— 2010
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Q. In which year was the Right to Education made a Fundamental Right? (2002)
-
A.
2002
-
B.
2005
-
C.
2010
-
D.
1999
Solution
The Right to Education was made a Fundamental Right in 2002 through the 86th Amendment to the Constitution.
Correct Answer:
A
— 2002
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Q. In which year was the World Health Organization (WHO) established? (1948)
-
A.
1945
-
B.
1948
-
C.
1951
-
D.
1960
Solution
The World Health Organization (WHO) was established on April 7, 1948.
Correct Answer:
B
— 1948
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Q. Is the function f(x) = 1/(x-1) continuous at x = 1?
-
A.
Yes
-
B.
No
-
C.
Only left continuous
-
D.
Only right continuous
Solution
The function f(x) = 1/(x-1) is not defined at x = 1, hence it is discontinuous at that point.
Correct Answer:
B
— No
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Q. Is the function f(x) = sqrt(x) continuous at x = 0?
-
A.
Yes
-
B.
No
-
C.
Only from the right
-
D.
Only from the left
Solution
The function f(x) = sqrt(x) is continuous at x = 0 as it is defined and the limit exists.
Correct Answer:
A
— Yes
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Q. Is the function f(x) = |x| continuous at x = 0?
-
A.
Yes
-
B.
No
-
C.
Only left continuous
-
D.
Only right continuous
Solution
The function f(x) = |x| is continuous at x = 0 because the left limit, right limit, and f(0) all equal 0.
Correct Answer:
A
— Yes
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Q. Solve for x: 3x - 7 = 2x + 5. (2021)
Solution
Subtract 2x from both sides: x - 7 = 5. Then add 7: x = 12.
Correct Answer:
A
— 12
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Q. Solve the differential equation dy/dx = 2y.
-
A.
y = Ce^(2x)
-
B.
y = 2Ce^x
-
C.
y = Ce^(x/2)
-
D.
y = 2x + C
Solution
This is a separable equation. Separating variables and integrating gives ln|y| = 2x + C, hence y = Ce^(2x).
Correct Answer:
A
— y = Ce^(2x)
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Q. Solve the differential equation dy/dx = 5 - 2y.
-
A.
y = 5/2 + Ce^(-2x)
-
B.
y = 5/2 - Ce^(-2x)
-
C.
y = 2.5 + Ce^(2x)
-
D.
y = 2.5 - Ce^(2x)
Solution
Rearranging gives dy/(5 - 2y) = dx. Integrating both sides leads to y = 5/2 + Ce^(-2x).
Correct Answer:
A
— y = 5/2 + Ce^(-2x)
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Q. Solve the differential equation dy/dx = 6x.
-
A.
y = 3x^2 + C
-
B.
y = 6x^2 + C
-
C.
y = 2x^2 + C
-
D.
y = 3x + C
Solution
Integrating gives y = 3x^2 + C, where C is the constant of integration.
Correct Answer:
A
— y = 3x^2 + C
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Q. Solve the differential equation dy/dx = y^2.
-
A.
y = 1/(C - x)
-
B.
y = Cx
-
C.
y = C + x^2
-
D.
y = C - x
Solution
This is a separable equation. Integrating gives y = 1/(C - x), where C is the constant.
Correct Answer:
A
— y = 1/(C - x)
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Q. The 'Simon Commission' was boycotted because it did not include any Indian members. In which year was it formed? (1928)
-
A.
1928
-
B.
1930
-
C.
1932
-
D.
1935
Solution
The Simon Commission was formed in 1928, and it was boycotted due to the absence of Indian representation.
Correct Answer:
A
— 1928
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Q. The 'Simon Commission' was boycotted by the Indian National Congress in which year? (1928)
-
A.
1928
-
B.
1930
-
C.
1932
-
D.
1935
Solution
The Simon Commission was boycotted in 1928 as it did not include any Indian members.
Correct Answer:
A
— 1928
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Q. The ages of a group of people are: 22, 25, 22, 30, 22, 25, 30. What is the mode of their ages?
-
A.
22
-
B.
25
-
C.
30
-
D.
None
Solution
The age 22 appears 3 times, which is more than any other age, making it the mode.
Correct Answer:
A
— 22
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Q. The ages of a group of people are: 22, 25, 22, 30, 25, 22, 28. What is the mode of their ages?
Solution
The mode is 22, as it appears 3 times, more than any other age.
Correct Answer:
A
— 22
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Q. The angle between the vectors A = i + j and B = j + k is:
-
A.
45°
-
B.
60°
-
C.
90°
-
D.
30°
Solution
cos(θ) = (A · B) / (|A||B|) = (0) / (√2 * √2) = 0, thus θ = 90°.
Correct Answer:
C
— 90°
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