The question asks to identify the last Mughal emperor of India. This is a direct factual question from Indian history, specifically the later Mughal period.
Correct Option: B) Bahadur Shah II (also known as Bahadur Shah Zafar) was the last Mughal emperor. He reigned from 1837 to 1857. He was a symbolic head during the Revolt of 1857, after which he was deposed by the British and exiled to Rangoon (now Yangon, Myanmar), marking the official end of the Mughal dynasty.
The question describes sounds made by elephants, specifically mentioning "low frequency sound" that can travel through the ground. We need to identify the correct term for such sounds based on their frequency range.
Correct Option: B) infrasound — Infrasound refers to sound waves with frequencies below the normal range of human hearing (typically less than 20 Hz). Elephants are well-known for using these low-frequency sounds for communication, which can travel long distances through air and ground.
The value of \(\frac{1}{4}+\frac{1}{4\times5}+\frac{1}{4\times5\times6}\), correct to four decimal places, is:
To find the value of the given expression, we need to calculate each term separately and then sum them up. Finally, we will round the result to four decimal places.
The first term is \(\frac{1}{4}\).
\[ \frac{1}{4} = 0.25 \]The second term is \(\frac{1}{4 \times 5}\).
\[ \frac{1}{4 \times 5} = \frac{1}{20} = 0.05 \]The third term is \(\frac{1}{4 \times 5 \times 6}\).
\[ \frac{1}{4 \times 5 \times 6} = \frac{1}{20 \times 6} = \frac{1}{120} \]To convert \(\frac{1}{120}\) to a decimal, we perform the division:\[ 1 \div 120 \approx 0.008333... \]Now, add the decimal values of all three terms:
\[ 0.25 + 0.05 + 0.008333... = 0.308333... \]We need to round the sum \(0.308333...\) to four decimal places. The fifth decimal place is 3, which is less than 5, so we round down (keep the fourth decimal place as it is).
\[ 0.3083 \]B) 0.3083 is the correct value when the sum is rounded to four decimal places.
The question asks for the year in which the East India Company received Diwani rights for Bengal, Bihar, and Orissa from the Mughals. This is a direct factual question related to a significant event in Indian history, specifically the early phase of British colonial expansion.
Correct Option: A) 1765 is the correct year when the East India Company was granted Diwani rights by the Mughal Emperor Shah Alam II following the Treaty of Allahabad.
This question asks about the Moon's rotational period on its axis. This is a fundamental astronomical fact related to the Moon's synchronous rotation, where its rotational period is equal to its orbital period around Earth.
D) 27.3 earth days is the correct answer. This value represents both the Moon's sidereal orbital period around Earth and its rotational period on its axis, due to synchronous rotation.
The question asks to identify the Indian state to which the Kalbelia folk songs and dances belong. This requires knowledge of Indian folk art forms and their regional associations.
A) Rajasthan — The Kalbelia folk dance and songs are an integral part of the culture of the Kalbelia community, a nomadic tribe from Rajasthan. The dance is characterized by its mesmerizing movements, which mimic the movements of a snake, performed by women in traditional black swirling skirts. The music is played by men using traditional instruments like the 'poongi' (a wind instrument), 'dufli', 'khanjari', 'morchang', 'khuralio', and 'dholak'. In 2010, UNESCO inscribed the Kalbelia folk songs and dances of Rajasthan on its Representative List of the Intangible Cultural Heritage of Humanity.
The question asks for another name for the 'Outer Himalayas'. This requires knowledge of the different ranges of the Himalayan mountain system and their alternative names.
C) Shiwaliks — The Outer Himalayas are indeed known as the Shiwaliks. This range is the southernmost and geologically youngest part of the Himalayan system.
To find the length of the rectangular plot, we will first establish a relationship between its length and breadth based on the given information. Then, we will use the formula for the perimeter of a rectangle and the given perimeter to form an equation. Solving this equation will give us the value of the length.
Let the length of the rectangular plot be \(L\) meters.
Let the breadth of the rectangular plot be \(B\) meters.
The problem states that the breadth of the rectangular plot is one-third of its length. So, we can write:
\[ B = \frac{1}{3} L \]The perimeter of a rectangle is given by the formula:
\[ P = 2 \times (L + B) \]We are given that the perimeter \(P = 240\) m. Substitute this and the expression for \(B\) into the perimeter formula:
\[ 240 = 2 \times \left(L + \frac{1}{3} L\right) \]First, simplify the term inside the parenthesis:
\[ L + \frac{1}{3} L = \frac{3L}{3} + \frac{L}{3} = \frac{4L}{3} \]Now, substitute this back into the perimeter equation:
\[ 240 = 2 \times \left(\frac{4L}{3}\right) \] \[ 240 = \frac{8L}{3} \]To find \(L\), multiply both sides by 3 and then divide by 8:
\[ 240 \times 3 = 8L \] \[ 720 = 8L \] \[ L = \frac{720}{8} \] \[ L = 90 \text{ m} \]Thus, the length of the plot is 90 m.
Correct Option: C) 90 m
The question asks for the unit of power, which is defined as the rate of doing work. We need to recall the standard SI unit for power.
where \(P\) is power, \(W\) is work done, and \(t\) is time taken.
This unit, joule per second (J/s), is given a special name in the SI system.
B) watt is the correct SI unit for power, defined as one joule per second.
The question asks to identify the first Indian woman to be nominated as a member of the International Olympic Committee (IOC). This is a factual question related to sports and current affairs, requiring knowledge of prominent Indian personalities and their achievements in international sports bodies.
Correct Option: B) Nita Ambani became the first Indian woman to be nominated as a member of the International Olympic Committee (IOC) in August 2016. Her election was based on the new procedure of the IOC that allows for direct election of individuals as members.