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Question : The average age of 15 members of a committee is increased by 4 years when two members whose ages are 60 years and 70 years are replaced by two new members. What is the average age of the new members?
Option 1: 105 years
Option 2: 80 years
Option 3: 85 years
Option 4: 95 years
Correct Answer: 95 years
Solution : Let the average age of 15 members of a committee be $x$. The sum of ages of 15 members = $15x$ New average age = $x+4$ New sum of ages = $15(x+4) = 15x+60$ Let $y$ be the average age of 2 new members.
Question : Directions: The sequence of folding a piece of paper and how the folded paper has been cut is shown in the following figures. How would this paper look when unfolded?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : When the given folded paper is unfolded, it will look like –
Hence, the first option is correct.
Question : Directions: In a certain code language, birds are flying is coded as 536, the nest is big is coded as 3423 and close the door is coded as 534. How will complete your work be coded in that language?
Option 1: 844
Option 2: 484
Option 3: 733
Option 4: 955
Correct Answer: 844
Solution : Given: 1. birds are flying ⇒ 536 2. the nest is big ⇒ 3423 3. close the door ⇒ 534
Count the number of letters in birds are flying to obtain the required code – birds→5, are→3, flying→6 Thus, birds are flying is coded as
Question : The value of $\frac{5.35 \times 5.35 \times 5.35+3.65 \times 3.65 \times 3.65}{53.5 \times 53.5+36.5 \times 36.5-53.5 \times 36.5}$ is:
Option 1: 0.09
Option 2: 0.9
Option 3: 90
Option 4: 9
Correct Answer: 0.09
Solution : Given: $\frac{5.35 \times 5.35 \times 5.35+3.65 \times 3.65 \times 3.65}{53.5 \times 53.5+36.5 \times 36.5-53.5 \times 36.5}$ = $\frac{(5.35)^3+(3.65)^3}{(53.5)^2+(36.5)^2-53.5 \times 36.5}$ = $\frac{(5.35+3.65)((5.35)^2+(3.65)^2-5.35 \times 3.65)}{100\times[(5.35)^2+(3.65)^2-5.35 \times 3.65]}$ = $\frac{5.35+3.65}{100}$ = $\frac{9}{100}$ = 0.09 Hence, the correct answer is 0.09.
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
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