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Question : What is $\sin \alpha - \sin\beta$?
Option 1: $2 \cos \frac{\alpha+\beta}{2} \sin \frac{\alpha-\beta}{2}$
Option 2: $2 \sin \frac{\alpha+\beta}{2} \sin \frac{\alpha-\beta}{2}$
Option 3: $2 \cos \frac{\alpha-\beta}{2} \sin \frac{\alpha+\beta}{2}$
Option 4: $2 \cos \frac{\alpha+\beta}{2} \cos \frac{\alpha-\beta}{2}$
Correct Answer: $2 \cos \frac{\alpha+\beta}{2} \sin \frac{\alpha-\beta}{2}$
Solution : The formula of $\sin α - \sin β$ is given by $2 \cos \frac{\alpha+\beta}{2} \sin \frac{\alpha-\beta}{2}$. Hence, the correct answer is $2 \cos \frac{\alpha+\beta}{2} \sin \frac{\alpha-\beta}{2}$.
Question : Guru Bipin Singh, who received the honour of Sangeet Natak Akademi Award in 1966 and the Kalidas Samman by Madhya Pradesh Government, was an exponent of which of the following Indian classical dance forms?
Option 1: Odissi
Option 2: Manipuri
Option 3: Kuchipudi
Option 4: Kathak
Correct Answer: Manipuri
Solution : The correct answer is Manipuri.
Guru Bipin Singh was a Manipuri dancer and was awarded with Sangeet Natak Akademi Award in 1966. He was a director, choreographer, and teacher of Manipuri dance. He was regarded as the Father of Manipuri dance. Under his guidance,
Question : The Government of ______ launched the Mukhyamantri Chaa Srami Kalyan Prakalpa Scheme for tea garden workers.
Option 1: Kerala
Option 2: Assam
Option 3: Tripura
Option 4: Andhra Pradesh
Correct Answer: Tripura
Solution : The correct option is Tripura.
A unique programme called "Mukhyamantri Chaa Srami Kalyan Prakalpa" has been announced by the state government of Tripura to guarantee the social security of over 7,000 tea garden labourers.
Question :
Directions: In the following question, select the related word from the given alternatives. Dark : Light :: Noise : ?
Option 1: Music
Option 2: Quiet
Option 3: Melody
Option 4: Vacuum
Correct Answer: Quiet
Solution : Given: Dark : Light :: Noise : ?
Like, dark and light are antonyms. Similarly, noise is the antonym of quiet.
Hence, the second option is correct.
Question : A vendor buys bananas at 9 for Rs. 8 and sells them at 8 for Rs. 9. What will be the profit or loss (in %)?
Option 1: 13.28% profit
Option 2: 26.56% loss
Option 3: 26.56% profit
Option 4: 13.28 % loss
Correct Answer: 26.56% profit
Solution : Cost price of one banana = $\frac{8}{9}$ Selling price of one banana = $\frac{9}{8}$ Profit = Selling price – Cost price = $\frac{9}{8}$–$\frac{8}{9}$ = $\frac{17}{72}$ Profit% = $\frac{\frac{17}{72}×100}{\frac{8}{9}}$ = $\frac{17×100×9}{72×8}$ = 26.56% Hence, the correct answer is 26.56% profit.
Question : Sheikh Hasina Wazed is the prime minister of which neighbouring country of India?
Option 1: Pakistan
Option 2: Bangladesh
Option 3: Afghanistan
Option 4: Nepal
Correct Answer: Bangladesh
Solution : The correct answer is Bangladesh.
India helped Bangladesh in its war for independence in 1971. As a friendly South Asian neighbour, India was the first to recognise Bangladesh as a separate and sovereign state. India also quickly established diplomatic ties with Bangladesh by declaration
Question : Select the wrongly spelt word.
Option 1: Unsavoury
Option 2: Ethical
Option 3: Unconventional
Option 4: Alturistc
Correct Answer: Alturistc
Solution : The fourth option is correct.
The incorrect spelling alturistc has a missing "i" after the "r". The correct spelling of the word, meaning selfless concern for the well-being of others, is altruistic.
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.
His profession is teaching, but his _______ is photography.
Option 1: vacation
Option 2: vocation
Option 3: vocative
Option 4: avocation
Correct Answer: vocation
Solution : The correct choice is the second option.
Vocation means a person's employment or main occupation is regarded as particularly worthy and requires dedication. This is the correct answer, as it fits the context of the sentence, describing the person's primary profession.
The meanings of other
Question : Why the Earth is having its own atmosphere ?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : The correct answer is gravity.
Earth has atmosphere because it has gravity which keeps all the gases, water vapours and other mass carrying materials attached to the earth's crust. While air pressure is directly related to gravity on earth i.e. more the height less would be
Question : Directions: In the question, a part of the sentence is in bold. Below are given alternatives to the bold part at (1), (2) and (3) that may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (4).
Careful drivers never take eyes of the road.
(1) by
(2) from
(3) off
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The correct answer is the third option.
In this sentence, the word "of" is incorrect. It should be replaced with the preposition that means away from or diverted from. The correct preposition is off in this context, which means to divert one's attention away from
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