The question asks about a substance used to cook foods faster. This implies a chemical agent that can tenderize food or accelerate the cooking process, often by altering its texture or pH. We need to evaluate the common uses of each given option in food preparation.
C) Baking powder is often used to cook certain foods, especially legumes like chickpeas or kidney beans, faster. The sodium bicarbonate component in baking powder increases the pH of the cooking water, which helps to break down the pectin in the cell walls of the food, thus tenderizing it and reducing cooking time.
The problem asks us to find a set of numbers that shares the same relationship as the given sets: (36, 78, 13) and (121, 77, 7). We need to identify the pattern or rule connecting the three numbers in each set.
Correct Option: A) (49, 63, 9)
The relationship is that the first number is the square of the quotient of the second and third numbers. For (49, 63, 9), we have \((63/9)^2 = 7^2 = 49\), which matches the first number.
The question asks for the state where St. Thomas Cathedral Basilica Church is located. This requires knowledge of significant religious sites in India and their geographical placement.
Correct Option: A) St. Thomas Cathedral Basilica Church is located in Santhome, Chennai, which is in the state of Tamil Nadu. It is a significant pilgrimage site for Christians, believed to house the tomb of St. Thomas the Apostle.
The question asks to identify which of the given options is NOT a step taken by the Indian government to attract foreign investment. We need to evaluate each option based on known government policies and initiatives aimed at promoting Foreign Direct Investment (FDI).
Comparing the options, options B, C, and D are indeed steps taken or policies implemented by the government to attract foreign investment. Option A, "Flexibility in the taxation system," is too vague and not a consistently applied or explicitly stated policy in a way that broadly attracts foreign companies; rather, specific tax incentives are provided.
Correct Option: A) Flexibility in the taxation system. This is not a general characteristic of India's tax system that is promoted as an attraction for foreign companies. While specific tax incentives exist, the overall system is not characterized by broad flexibility in a way that consistently draws investors.
This problem involves tracking movement in different directions. We can solve it by breaking down Varun's journey into individual segments and then calculating the net displacement from the starting point. We'll use a coordinate system or simply visualize the movements in terms of North, South, East, and West.
B) 30 m, South. As calculated, Varun is 30 m South of his starting point.
The question asks about the factors affecting the resistance of a conductor. We need to recall the formula for resistance and identify the direct proportionality.
B) length of the conductor — As per the formula \(R = \rho \frac{L}{A}\), the resistance \(R\) is directly proportional to the length \(L\) of the conductor. This means if the length increases, the resistance increases proportionally, assuming other factors remain constant.
To find the focal length of a combination of lenses, we first need to calculate the total power of the combination. The total power of lenses in contact is the algebraic sum of their individual powers. Once the total power is found, the focal length can be calculated using the relationship \(P = 1/f\), where \(P\) is power in diopters and \(f\) is focal length in meters.
Correct Option: A) 50 cm
To find the angle traced by the minute hand, we need to understand its speed. A minute hand completes a full circle (360°) in 60 minutes. From this, we can calculate the angle it traces per minute and then multiply that by the given time.
The minute hand completes one full revolution (a circle) in 60 minutes.
\[ \text{Angle traced in 60 minutes} = 360^{\circ} \]To find the angle traced per minute, divide the total angle by the total time.
\[ \text{Angle per minute} = \frac{360^{\circ}}{60 \text{ minutes}} = 6^{\circ}/\text{minute} \]Multiply the angle traced per minute by the given number of minutes.
\[ \text{Angle traced in 48 minutes} = 6^{\circ}/\text{minute} \times 48 \text{ minutes} \] \[ \text{Angle traced in 48 minutes} = 288^{\circ} \]Correct Option: C) 288°
To find the fourth next member of the homologous series of propene, we first need to identify the homologous series to which propene belongs. Propene is an alkene. Alkenes are unsaturated hydrocarbons with at least one carbon-carbon double bond, and their general formula is \(C_nH_{2n}\). We will then determine the number of carbon atoms in propene and subsequently find the number of carbon atoms for the fourth next member in the series, using the general formula to derive its molecular formula.
Identify the homologous series: Propene has the molecular formula \(C_3H_6\). It is an alkene, characterized by a carbon-carbon double bond. The general formula for alkenes is \(C_nH_{2n}\).
Determine the 'n' for propene: For propene, \(n=3\).
Identify the members of the homologous series:
Find the fourth next member: Propene is the second member in the series (if we start from ethene as the first). If we consider propene as the current member, then:
Determine the molecular formula for the 4th next member: For heptene, \(n=7\). Using the general formula \(C_nH_{2n}\), the molecular formula is \(C_7H_{2 \times 7} = C_7H_{14}\).
A) C₇H₁₄ is the correct molecular formula for the fourth next member (heptene) in the homologous series of propene.
B) C₂H₄ — This is ethene, the first member of the alkene homologous series, which comes before propene.
C) C₆H₁₂ — This is hexene, which is the third next member after propene, not the fourth.
D) C₄H₈ — This is butene, which is the first next member after propene, not the fourth.
The problem requires us to modify a given number based on specific rules for odd and even digits, and then find the sum of two specific digits in the modified number. We will first apply the given rules to each digit of the original number to form a new number. Then, we will identify the second digit from the left and the second digit from the right in the new number and calculate their sum.
B) 8 — The sum of the second digit from the left (4) and the second digit from the right (4) in the modified number is \(4 + 4 = 8\).