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Question : When was the National Emergency declared for the first time under Article 352?
Option 1: 1963-69
Option 2: 1961-65
Option 3: 1961-67
Option 4: 1962-68
Correct Answer: 1962-68
Solution : The correct option is 1962-68.
The first National Emergency under Article 352 of the Indian Constitution was declared on October 26, 1962, by President Sarvepalli Radhakrishnan. It was in response to the Sino-Indian War and lasted until January 10, 1968. This marked the inaugural
Question : If $0 \leq \theta \leq 90^{\circ}$, and $\sin \left(2 \theta+50^{\circ}\right)=\cos \left(4 \theta+16^{\circ}\right)$, then what is the value of $\theta$ (in degrees)?
Option 1: $10^{\circ}$
Option 2: $8^{\circ}$
Option 3: $4^{\circ}$
Option 4: $12^{\circ}$
Correct Answer: $4^{\circ}$
Solution : Given, $\sin \left(2 \theta+50°\right)=\cos \left(4 \theta+16°\right)$ We know, $\sin(90°-\theta)=\cos\theta$ So, $\sin \left(2 \theta+50°\right)=\sin(90°-(4 \theta+16°)$ ⇒ $2\theta+50°=90°-4\theta-16°$ ⇒ $2\theta+4\theta=90°-16°-50°$ ⇒ $6\theta=24°$ $\therefore\theta=4°$ Hence, the correct answer is $4°$.
Question : The green plants in a terrestrial ecosystem capture about ______ per cent of the energy of sunlight that falls on their leaves and convert it into food energy.
Option 1: 20
Option 2: 10
Option 3: 1
Option 4: 5
Correct Answer: 1
Solution : The correct option is 1.
The green plants in a terrestrial ecosystem capture about 1% of the energy from sunlight that falls on their leaves during photosynthesis. This process converts solar energy into chemical energy stored in the form of carbohydrates, sustaining the plant
Question : Which of the following is an example of a terrestrial ecosystem?
Option 1: Ponds
Option 2: River
Option 3: Grasslands
Option 4: Oceans
Correct Answer: Grasslands
Solution : The correct answer is Grasslands.
A terrestrial ecosystem is an ecosystem that is found only on landforms. Some examples of terrestrial ecosystems are grasslands, tundra, taiga, deserts, tropical rainforests, etc. The non-terrestrial ecosystem includes aquatic, marine, and wetlands.
Question : If the average of 41 consecutive odd numbers is 49, what is the largest number?
Option 1: 89
Option 2: 91
Option 3: 93
Option 4: 95
Correct Answer: 89
Solution : The average of 41 consecutive odd numbers is 49. Since the average of an arithmetic progression (AP) with an odd number of terms is the same as its middle term, Middle term = 21st term = 49 Largest number = last term = 41
Question : Which of the following is not an example of mass communication?
Option 1: Door-to-door campaign
Option 2: Television
Option 3: Films
Option 4: Radio
Correct Answer: Door-to-door campaign
Solution : The correct answer is a door-to-door campaign.
Mass communication refers to the production and distribution of messages to a vast audience. This includes the creation and dissemination of news through various media channels such as the Internet, newspapers, and television. Mass communication doesn't involve
Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer.
Mobile phones _________ popular in India in the last five years.
Option 1: have become
Option 2: became
Option 3: are becoming
Option 4: are become
Correct Answer: have become
Solution : The first option is the correct answer.
The present perfect tense is used to describe actions that began in the past and have relevance or a connection to the present. "Have become" should be used, as it is the present perfect tense.
Therefore, the
Question : Directions: In the following question, some parts of the sentence have errors, and some are correct. Find out which part of the sentence has an error. The number of that part is the answer. If a sentence is error-free, your answer is "No Error".
There be a long queue for entry into the exhibition ground.
(1) for entry into
(2) No Error
(3) There be a long queue
(4) the exhibition ground
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The error lies in the third option.
The error is due to the incorrect subject-verb agreement, as the queue is a singular subject so it should be followed by a singular verb, i.e., is. The phrase there be a long queue is not grammatically accurate,
Question : If $\sin m+\sin n=p, \cos m+\cos n=q$, then find the value of $\sin m \times \sin n+\cos m \times \cos n$.
Option 1: $p^2+q^2-2$
Option 2: $\frac{p^2+q^2-2}{2}$
Option 3: $p+q-p q$
Option 4: $p+q+p q$
Correct Answer: $\frac{p^2+q^2-2}{2}$
Solution : Given, $\sin m+\sin n=p$ and $ \cos m+\cos n=q$ Consider, $\sin m + \sin n = p$ Squaring both sides, ⇒ $(\sin m + \sin n)^2 = p^2$ ⇒ $\sin^2m+\sin^2n+2\sin m\sin n=p^2$ We know, $\sin^2x+\cos^2x=1$ ⇒ $1 - \cos^2 m + 1 - \cos^2 n
Question : Directions: In the following question, some parts of the sentence have errors, and some are correct. Find out which part of the sentence has an error. The number of that part is the answer. If a sentence is error-free, your answer is "No Error."
The navel officers (1) / successfully fought the pirates (2) / who had looted and plundered for many years. (3) / No Error (4)
Correct Answer: (1)
Solution : The error lies in the first part of the sentence, The navel officers.
The word "navel" refers to the belly button of the human body. The term should be "naval" to refer to the navy.
So, the correct sentence should be: "The naval officers successfully
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