The question asks to identify India's first communication satellite. This requires knowledge of India's space program history, specifically the chronology and purpose of its early satellites.
C) Apple was India's first experimental communication satellite. It was successfully launched in 1981, marking a significant milestone in India's space communication capabilities.
To find the mode and median of a given set of data, we first need to arrange the data in ascending order. Then, we identify the mode as the number that appears most frequently, and the median as the middle value in the ordered list.
Correct Option: C) 8 and 7
The question asks to identify the designer of the Indian Rupee symbol '₹'. This is a factual question related to current affairs and general knowledge about India's national symbols.
Correct Option: A) Uday Kumar
To find the length of the diagonal of a rectangle, we first need to determine its length. We are given the area and breadth. Once we have both length and breadth, we can use the Pythagorean theorem, as the diagonal forms the hypotenuse of a right-angled triangle with the length and breadth as its other two sides.
Correct Option: D) 25 cm
The question asks for the name of India's livestock disease monitoring and forecasting system. This is a factual question requiring knowledge of specific government initiatives or scientific facilities related to animal health in India.
C) Biosafety Laboratory — India's livestock disease monitoring and forecasting system relies heavily on a network of Biosafety Laboratories. These laboratories are equipped to handle and diagnose various animal pathogens, playing a critical role in surveillance, early detection, and forecasting of livestock diseases. For instance, the National Institute of High Security Animal Diseases (NIHSAD) in Bhopal is a BSL-3 and BSL-4 facility that serves as a national referral laboratory for exotic and emerging animal diseases, contributing significantly to the monitoring and forecasting efforts.
The cost of one dozen bananas is Rs. 5. The cost of one dozen oranges is Rs. 75. What will be the cost of one and a quarter dozen bananas and three-fourths of a dozen oranges?
To solve this problem, we need to calculate the cost of the required quantity of bananas and oranges separately and then sum them up. First, determine the cost per dozen for each fruit. Then, calculate the cost for the specified fractional quantities (one and a quarter dozen for bananas and three-fourths of a dozen for oranges).
Cost of bananas:
Cost of oranges:
Total cost:
D) Rs. 62.50 is the correct answer, as calculated by summing the cost of the required quantities of bananas and oranges.
A) Rs. 112.50 — This value might be obtained if there was a calculation error, for example, if the cost of bananas was miscalculated or if the quantities were added incorrectly. For instance, if one mistakenly calculated \((1.25 \times 75) + (0.75 \times 5)\), which would be \(93.75 + 3.75 = 97.50\), still not matching. Or if one calculated \((1.25 \times 5) + (0.75 \times 75) = 6.25 + 56.25 = 62.50\) and then added some other value. This option is significantly higher than the correct value.
B) Rs. 131.25 — This value is much higher than the correct total. It could result from a significant error in calculating the quantities or costs, possibly by swapping the costs or quantities of the fruits, or by multiplying both quantities by the higher price. For example, if one calculated \(1.25 \times 75 + 0.75 \times 75 = 93.75 + 56.25 = 150\), which is also not this value. This option is incorrect.
C) Rs. 102.50 — This value is also incorrect. It might arise from a miscalculation, such as adding the cost of one dozen of each fruit and then adding some fractional amount, or by making an error in the multiplication of the fractional quantities. For example, if one calculated \(1.25 \times 75 = 93.75\) and then added the cost of one dozen bananas \(5\), which would be \(98.75\). This option is not derived from the correct calculations.
A shopkeeper purchased 10 boxes of pencils containing 10 pencils each at Rs. 100 per box and sold each pencil at a profit of 12%. What is the total sale price?
To find the total sale price, we first need to calculate the total cost price of all pencils. Then, we calculate the profit earned on each pencil and add it to the cost price to find the sale price of each pencil. Finally, we multiply the sale price per pencil by the total number of pencils to get the total sale price.
The shopkeeper purchased 10 boxes, and each box contains 10 pencils.
\[ \text{Total number of pencils} = \text{Number of boxes} \times \text{Pencils per box} \]\[ \text{Total number of pencils} = 10 \times 10 = 100 \text{ pencils} \]Each box costs Rs. 100. There are 10 boxes.
\[ \text{Total cost price} = \text{Number of boxes} \times \text{Cost per box} \]\[ \text{Total cost price} = 10 \times 100 = \text{Rs. } 1,000 \]The total cost price for 100 pencils is Rs. 1,000.
\[ \text{Cost price per pencil} = \frac{\text{Total cost price}}{\text{Total number of pencils}} \]\[ \text{Cost price per pencil} = \frac{1000}{100} = \text{Rs. } 10 \]The profit is 12% of the cost price per pencil.
\[ \text{Profit per pencil} = 12\% \text{ of } \text{Rs. } 10 \]\[ \text{Profit per pencil} = \frac{12}{100} \times 10 = \frac{120}{100} = \text{Rs. } 1.20 \]Sale price is cost price plus profit.
\[ \text{Sale price per pencil} = \text{Cost price per pencil} + \text{Profit per pencil} \]\[ \text{Sale price per pencil} = 10 + 1.20 = \text{Rs. } 11.20 \]Multiply the sale price per pencil by the total number of pencils.
\[ \text{Total sale price} = \text{Sale price per pencil} \times \text{Total number of pencils} \]\[ \text{Total sale price} = 11.20 \times 100 = \text{Rs. } 1,120 \]Alternatively, we can calculate the total sale price directly:
B) Rs. 1,120 is the correct total sale price after a 12% profit on the total cost.
The question asks for the year in which Mahatma Gandhi launched the 'Quit India' movement. This is a factual question related to Indian history, specifically the Indian independence movement. Recalling the timeline of major events during this period is key to answering correctly.
Correct Option: B) The 'Quit India' movement was launched by Mahatma Gandhi in the year 1942.
The question asks for the appropriate description of a "Shooting Star". This phenomenon is often misunderstood due to its name. We need to identify the astronomical object that causes the bright streak of light seen in the night sky, commonly referred to as a shooting star.
C) Fragments & debris — A shooting star is the visible streak of light caused by a meteoroid (a small fragment of rock or dust) burning up as it enters Earth's atmosphere. These meteoroids are essentially fragments and debris from comets, asteroids, or the early solar system.
The O-T-C medicine Crocin is an
Analgesic
Antipyretic
Analgesic and antipyretic
Antiseptic
The question asks about the classification of Crocin, a common over-the-counter (OTC) medicine. To answer this, we need to recall the primary pharmacological actions of its active ingredient, paracetamol (acetaminophen).
Correct Option: C) Analgesic and antipyretic