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Question : What is the value of $\tan 6^{\circ} × \tan 45^{\circ} × \tan 84^{\circ}$?
Option 1: $1$
Option 2: $\tan 6^{\circ} \times \tan 39^{\circ}$
Option 3: $3$
Option 4: $\tan 6^{\circ}+\tan 45^{\circ}+\tan 84^{\circ}$
Correct Answer: $1$
Solution : $\tan 6^{\circ} × \tan 45^{\circ} × \tan 84^{\circ}$ = $\tan 6^{\circ} × \tan 45^{\circ} × \tan (90^{\circ}-6^{\circ})$ = $\tan 6^{\circ} × \tan 45^{\circ} × \cot 6^{\circ}$ = $\tan 6^{\circ} × \tan 45^{\circ} × \frac{1}{\tan 6^{\circ}}$ = $\tan 45^{\circ}$ = $1$ Hence, the correct answer is
Question : Comprehension:
In the following passage, some of the words have been deleted.
Read the passage carefully and select the correct answer for the given blank out of the four alternatives. Social media platforms and many people on them have their own (1)_____and they are often trying to sell you things. So, be (2)_______of how much time and energy you give to sellers and users, and think about (3)_____they want from you when engaging. To gauge which uses are positive and (4)_____and which are detrimental, ask yourself simply: When does using social media make me feel good or bad, and why? Do I (5)_____use it all of the time?
Question: Select the most appropriate option to fill in the blank number (1).
Option 1: agendas
Option 2: steam
Option 3: excuses
Option 4: considerations
Correct Answer: agendas
Solution : The correct choice is the first option.
Explanation: The word agendas in this context emphasises that there are underlying intentions or purposes behind the content and interactions on social media, and individuals should be aware of these motives when engaging with the platform and its
Question : 'Hind Swaraj' or 'Indian Home Rule' is written by which of the following freedom fighters?
Option 1: Dadabhai Naoroji
Option 2: Mahatma Gandhi
Option 3: Bal Gangadhar Tilak
Option 4: Annie Besant
Correct Answer: Mahatma Gandhi
Solution : The correct option is Mahatma Gandhi.
"Hind Swaraj" by Mahatma Gandhi, published in 1909, is a seminal work advocating Indian self-rule. It critiques modern civilisation's materialism, emphasising moral, and spiritual values. He promoted nonviolent resistance (Satyagraha) as the path to India's independence from
Question : Which vitamin is synthesised in the presence of sunlight in our body?
Option 1: Vitamin B
Option 2: Vitamin C
Option 3: Vitamin D
Option 4: Vitamin A
Correct Answer: Vitamin D
Solution : The correct answer is Vitamin D.
Our bodies produce vitamin D when exposed to sunlight. The human skin's epidermal layer is where vitamin D is primarily synthesised when exposed to sunlight. The human body needs vitamin D to absorb calcium and phosphorus, both of
Question : Which crop grows best on black soil?
Option 1: Cotton
Option 2: Coffee
Option 3: Maize
Option 4: Millets
Correct Answer: Cotton
Solution : The correct option is Cotton.
Cotton is known to grow well in black soils, particularly in certain regions with specific soil types. Black soils have good moisture retention properties, which are beneficial for crops like cotton that require a consistent water supply throughout the
Question : Mawsynram, the place that receives the highest rainfall in the world, is situated in which hills?
Option 1: Patkai Hills
Option 2: Mishmi Hills
Option 3: Rajmahal Hills
Option 4: Khasi Hills
Correct Answer: Khasi Hills
Solution : The correct answer is Khasi Hills.
The world's highest average yearly rainfall is recorded in Mawsynram, a village in Meghalaya, India's East Khasi Hills district. The Guinness World Records state that Mawsynram receives approximately 11,872 mm (467 in) of rain annually.
Question : Which of the following is not a chemical reaction?
Option 1: Burning of paper
Option 2: Digestion of food
Option 3: Conversion of water into steam
Option 4: Burning of coal
Correct Answer: Conversion of water into steam
Solution : The correct option is the Conversion of water into steam.
The conversion of water into steam is a physical reaction because it involves the state of matter without altering the chemical composition of water molecules. Heat energy is applied to water,
Question : In the given sentence, identify the segment that contains a grammatical error. There is a few water in the bowl on the table.
Option 1: There is
Option 2: in the bowl
Option 3: on the table
Option 4: a few water
Correct Answer: a few water
Solution : The error lies in the fourth option.
The error lies in the phrase "a few water". The word "water" is an uncountable noun, and when referring to an indefinite amount, we should use the quantifier "little". "Little" is appropriate for uncountable nouns, indicating
Question : Select the most appropriate synonym of the underlined word in the given sentence.
These colours add a vivacious and fairy-like effect to my dress.
Option 1: repressed
Option 2: impassive
Option 3: sparky
Option 4: gloomy
Correct Answer: sparky
Solution : The correct choice is the third option.
Sparky aligns closely with the meaning of vivacious, conveying a lively, energetic, and vibrant quality. In the context of the sentence, it describes how the colours contribute an animated and lively effect to the dress.
The
Question : The Amaravati School of art was developed under the patronage of _________.
Option 1: Cholas
Option 2: Cheras
Option 3: Satavahanas
Option 4: Palas
Correct Answer: Satavahanas
Solution : The correct option is Satavahanas.
The Amaravati School of Art flourished under the patronage of the Satavahana rulers in ancient India. The Satavahanas were a dynasty that ruled over the Deccan region from the 1st century BCE to the 3rd century CE. The Amaravati
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