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Question : Direction: Ram and Sam start walking towards the north and cover 20 metres. Ram turns to his left, and Sam turns to his right. After some time, Ram walks 10 metres in the same direction in which he turned. On the other hand, Sam walks only 7 metres. Later, Ram turns to his left and Sam to his right. Both walk 25 metres forward. How far is Ram from Sam now?
Option 1: 17 meters
Option 2: 5 meters
Option 3: 10 meters
Option 4: 20 meters
Correct Answer: 17 meters
Solution : As per the given information, the movement of Rajat will look as follows –
Distance between Ram and Sam = CE = BA + AD = 10 + 7 = 17 meters.
Hence, the first option is correct.
Question : The sides of a triangle are 20 cm, 48 cm, and 52 cm. What is the area of the triangle?
Option 1: 320 cm2
Option 2: 480 cm2
Option 3: 560 cm2
Option 4: 245 cm2
Correct Answer: 480 cm2
Solution : The sides of a triangle are 20 cm, 48 cm, and 52 cm. All three sides are different. So, it is a Scalene triangle. Area of a scalene triangle = $\sqrt{s(s-a)(s-b)(s-c)}$, where $s = \frac{a+b+c}{2}$ $s=\frac{20+48+52}{2}=\frac{120}{2}=60$ ⇒ Area of the triangle = $\sqrt{60(60-20)(60-48)(60-52})=\sqrt{60×40×12×8}=480\
Question : Find the value of $\left(\tan ^2 \theta+\tan ^4 \theta\right)$.
Option 1: $\cot ^2 \theta-\tan ^2 \theta$
Option 2: $\ {\sec}^4 \theta-\ {\sec}^2 \theta$
Option 3: $\ {\sec}^4 \theta-\ {\sec}^4 \theta$
Option 4: $ \ {\sec}^4 \theta+\ {\sec}^2 \theta$
Correct Answer: $\ {\sec}^4 \theta-\ {\sec}^2 \theta$
Solution : According to the question, $\left(\tan ^2 \theta+\tan ^4 \theta\right)$ $=(\tan^{2}\theta)^{2} + \tan^{2}\theta$ $=(\sec^{2}\theta - 1)^{2} + \sec^{2}\theta - 1$ $=\sec^{4}\theta - 2 \sec^{2}\theta + 1 + \sec^{2}\theta - 1$ $=\sec^{4}\theta - \sec^{2}\theta$ Hence, the correct answer is $\sec^{4}\theta - \sec^{2}\theta$.
Question : Comprehension: Read the given passage carefully and answer the questions that follow. Throughout history, the intricacies of the human mind have been the subject of fascination and inquiry. From ancient philosophers to modern-day neuroscientists, the workings of the brain have been studied and analysed in an attempt to unravel its mysteries. However, despite centuries of research, much remains unknown about the complexities of human cognition and consciousness. One of the most fascinating aspects of the human mind is its ability to create and imagine. The human mind has the capacity to conceptualise and bring into being ideas that were previously unknown or unimaginable, from artistic expression to scientific discovery. The process of creativity has captured the attention of scholars and laypeople alike and is both enigmatic and awe-inspiring. There have been many theories proposed to explain the process of creativity. Some suggest that it is a purely subconscious process, while others argue that creativity is a result of conscious effort and intentional problem-solving. Still others suggest that creativity arises from a combination of conscious and subconscious processes. Despite the ongoing debate over the nature of creativity, one thing is clear: it is a multifaceted and complex phenomenon. Creativity can manifest in a wide range of human activities, from the creation of art and literature to the development of scientific theories and inventions. It can occur in both individual and collective contexts and can be driven by a variety of factors such as curiosity, passion, or the desire for recognition. Creativity also has the potential to bring about positive change in the world. Throughout history, creative individuals and groups have used their talents to address social, political, and environmental challenges, often inspiring others to take action and make a difference. From the abolitionist movement to the civil rights movement to the environmental movement, creativity has played a crucial role in promoting social justice and positive change. Despite the many benefits of creativity, it is not without its challenges. The process of creative expression can be fraught with obstacles, from self-doubt and insecurity to external pressures and constraints. Moreover, not all creative ideas are successful or well-received, and many artists and innovators face rejection and criticism as they seek to bring their ideas to fruition. Despite these challenges, however, the human drive to create and imagine persists. Individuals and groups continue to harness the power of creativity to make a difference in the world. From the humblest amateur artist to the most celebrated innovator, the human capacity for creativity remains one of our greatest strengths and sources of inspiration. Question: Select the most appropriate ANTONYM for the word ‘fraught’.
Option 1: Tranquil
Option 2: Calm
Option 3: Beset
Option 4: Devoid
Correct Answer: Devoid
Solution : The fourth option is the correct answer.
The term fraught suggests being filled or laden with something undesirable, challenging, or burdensome. In the context of the passage, it refers to the challenges associated with the process of creative expression. On the other hand, 'devoid' means
Question : Who is the new Director of the Film and Television Institute of India (FTII) as of 2023?
Option 1: Prashant Pathrabe
Option 2: Amol Palekar
Option 3: Shabana Azmi
Option 4: Bhupendra Kainthola
Correct Answer: Bhupendra Kainthola
Solution : The correct answer is Bhupendra Kainthola.
As of 2023, Bhupendra Kainthola is the Director of the Film and Television Institute of India (FTII). He is an Indian Information Service (IIS) Officer. The FTII is a film institute that comes under the Ministry of Information
Question : In a box, the ratio of the number of green stones to black stones is 5 : 8. If there are 24 black stones, then how many total stones are in the box?
Option 1: 13
Option 2: 39
Option 3: 26
Option 4: 24
Correct Answer: 39
Solution : Let the number of green stones as 5$x$ and the number of black stones as 8$x$, where $x$ is a positive constant. Number of black stones = 24 ⇒ 8$x$ = 24 ⇒ $x$ = $\frac{24}{8}$ = 3 Total stones = 5$x$ + 8$x$ =
Question : According to Marx, the source of value is
Option 1: Capital
Option 2: Land
Option 3: Labour
Option 4: None of the above
Correct Answer: Labour
Solution : The correct option is Labour.
The worth of a good is defined by the quantity of socially necessary labour time needed to manufacture it, in accordance with Karl Marx's theory of labor value. In other words, a product's value is determined by the amount of
Question : Find the amount of a sum of Rs. 7,500 invested on compound interest at 8% p.a. for 1.5 years when the interest is compounded half-yearly.
Option 1: Rs. 8,436.48
Option 2: Rs. 8,736.48
Option 3: Rs. 8,657.48
Option 4: Rs. 8,564.48
Correct Answer: Rs. 8,436.48
Solution : Given: Principal($P$) = Rs. 7500 Rate($R$) = 8% compounded half yearly = 4% annually Time 1.5 years, half-yearly($T$) = 3 years We know that, $ A= P(1+\frac{R}{100})^{T}$ $= 7500(1+\frac{4}{100})^{3}$ $= 7500\times\frac{26}{25}\times\frac{26}{25}\times\frac{26}{25}$ $=8436.48$ Hence, the correct answer is Rs. 8,436.48.
Question : The only perennial river in Peninsular India is
Option 1: Godavari
Option 2: Kaveri
Option 3: Krishna
Option 4: Bhima
Correct Answer: Kaveri
Solution : The correct answer is Kaveri.
Peninsular rivers are non-perennial rivers except river Kaveri. Peninsular rivers are seasonal, i.e. they depend on rainfall for their flow. Kaveri receives rainwater almost throughout the year, owing to retreating monsoons in Tamil Nadu, where the monsoon provides large
Question : Which of the following is not a feature of a capitalist economy?
Option 1: Right to private property
Option 2: Existence of competition
Option 3: Service motive
Option 4: Freedom of choice for consumers
Correct Answer: Service motive
Solution : The correct answer is Service motive.
When the private sector owns the economy's resources, the economy is said to be capitalist. So, in a capitalist economy, collective ownership is not an option. The two-class system, private ownership, profit motive, minimal government intervention, and
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