The question asks to identify the first computer created by J.W. Mauchly and J. Presper Eckert that had no mechanical parts. This points to one of the early electronic digital computers.
Correct Option: D) ENIAC was the first computer created by J.W. Mauchly and J. Presper Eckert that was entirely electronic and had no mechanical parts. It marked a significant shift from electromechanical computers to purely electronic ones.
The problem states a relationship between the selling price of a certain number of pens and the cost price of another number of pens. We need to find the gain percentage. The key is to establish a relationship between the selling price (SP) and cost price (CP) of a single pen or a common number of pens and then use the formula for gain percentage.
Let \(\text{CP}\) be the cost price of one pen and \(\text{SP}\) be the selling price of one pen.
According to the problem statement, the selling price of 10 pens is equal to the cost price of 15 pens. We can write this as an equation:
\[ 10 \times \text{SP} = 15 \times \text{CP} \]Now, we need to find the ratio of \(\text{SP}\) to \(\text{CP}\) or express one in terms of the other. Let's find \(\text{SP}\) in terms of \(\text{CP}\):
\[ \text{SP} = \frac{15}{10} \times \text{CP} \]\[ \text{SP} = \frac{3}{2} \times \text{CP} \]Since \(\text{SP} > \text{CP}\), there is a gain. The gain is calculated as \(\text{Gain} = \text{SP} - \text{CP}\).
\[ \text{Gain} = \frac{3}{2} \times \text{CP} - \text{CP} \]\[ \text{Gain} = \left(\frac{3}{2} - 1\right) \times \text{CP} \]\[ \text{Gain} = \left(\frac{3-2}{2}\right) \times \text{CP} \]\[ \text{Gain} = \frac{1}{2} \times \text{CP} \]The gain percentage is calculated using the formula:
\[ \text{Gain \%} = \left(\frac{\text{Gain}}{\text{CP}}\right) \times 100 \]Substitute the value of Gain we found:
\[ \text{Gain \%} = \left(\frac{\frac{1}{2} \times \text{CP}}{\text{CP}}\right) \times 100 \]\[ \text{Gain \%} = \left(\frac{1}{2}\right) \times 100 \]\[ \text{Gain \%} = 50\% \]D) The gain percentage is 50%.
The question asks to identify the North-Eastern state that organizes the famous 'Sangai Festival'. This is a factual question related to the cultural festivals of Indian states, a common topic in competitive exams.
Correct Option: B) Manipur
The question asks to identify the policy under which Indian rulers were forbidden from maintaining their independent armed forces by the East India Company. We need to recall the key features of the various British policies of expansion and control in India.
Correct Option: A) The subsidiary alliance system was a policy introduced by Lord Wellesley. Under this system, Indian rulers had to accept British forces in their territory and pay for their maintenance. In return, the British promised to protect them from external and internal threats. A crucial condition of this alliance was that the Indian ruler could not maintain their own independent army and had to disband it. This effectively made the Indian states dependent on the British for defense and prevented them from challenging British authority.
The length of a rectangular solar panel is 5% more than its breadth. If the area of the solar panel is 210 m², find its breadth.
To find the breadth of the rectangular solar panel, we need to set up an equation based on the given information: the relationship between its length and breadth, and its area. We will express the length in terms of breadth and then use the area formula for a rectangle.
Let the breadth of the rectangular solar panel be \(b\) meters.
The problem states that the length (\(l\)) of the solar panel is 5% more than its breadth. This can be written as:
\[ l = b + 0.05b \]\[ l = 1.05b \]The area of the solar panel is given as 210 m\(^2\). The formula for the area of a rectangle is \(\text{Area} = \text{length} \times \text{breadth}\).
Substitute the expressions for length and breadth into the area formula:
\[ 210 = (1.05b) \times b \]\[ 210 = 1.05b^2 \]Now, solve for \(b^2\):
\[ b^2 = \frac{210}{1.05} \]\[ b^2 = \frac{210}{\frac{105}{100}} \]\[ b^2 = \frac{210 \times 100}{105} \]\[ b^2 = 2 \times 100 \]\[ b^2 = 200 \]Finally, take the square root to find \(b\):
\[ b = \sqrt{200} \]\[ b = \sqrt{100 \times 2} \]\[ b = \sqrt{100} \times \sqrt{2} \]\[ b = 10\sqrt{2} \text{ m} \]Correct Option: C) 10\(\sqrt{2}\) m
The question asks for the approximate contribution of mica to the Earth's crust. This requires knowledge of the typical mineral composition of the Earth's crust. The Earth's crust is primarily composed of various minerals, with silicates being the most abundant. We need to identify the percentage that corresponds to mica's presence.
C) 4% — Mica constitutes approximately 4% of the Earth's crust. This makes it a significant, though not primary, mineral component.
To determine the correct chronological order of the given Indian kingdoms/empires, we need to recall their approximate periods of rule in Indian history. This involves identifying the earliest to the latest dynasty among the Mauryan Empire, Gupta Kingdom, Delhi Sultanate, and Mughals.
Based on these historical periods, the chronological order is Mauryan Empire (Q), followed by the Gupta Kingdom (P), then the Delhi Sultanate (S), and finally the Mughals (R).
Therefore, the correct sequence is Q, P, S, R.
A) Q, P, S, R — This option correctly places the Mauryan Empire first (ancient period), followed by the Gupta Kingdom (classical ancient period), then the Delhi Sultanate (early medieval period), and finally the Mughals (late medieval/early modern period).
The question asks to identify the mountain range that historically and geographically serves as a practical boundary between North and South India. This requires knowledge of India's physical geography.
D) Vindhya
The Vindhya Range is a low mountain range in west-central India. It runs east-west across the Indian subcontinent, forming a significant geographical barrier. Historically and culturally, it has often been regarded as the traditional boundary between North India (the Indo-Gangetic plains) and South India (the Deccan Plateau).
On which day is World Day to Combat Desertification and Drought observed?
The question asks for the specific date on which World Day to Combat Desertification and Drought is observed. This is a factual question related to important environmental days and their observance dates, which are common in competitive exams.
The World Day to Combat Desertification and Drought is observed annually on June 17th. This day is proclaimed by the United Nations General Assembly to promote public awareness of international efforts to combat desertification and drought and to highlight the importance of land stewardship.
C) 17th June is the correct date for World Day to Combat Desertification and Drought.
The question asks to identify whose birthday is celebrated as "Parakram Diwas" by the Government of India. This is a factual question related to national observances and important historical figures.
B) Subhash Chandra Bose — The Government of India celebrates January 23rd, the birth anniversary of Netaji Subhash Chandra Bose, as "Parakram Diwas" (Day of Valour) to commemorate his contributions to India's freedom struggle.