The question asks which electrical component is connected in parallel in an electric circuit. We need to understand the function of each given option and how it is typically connected in a circuit.
Correct Option: A) Voltmeter — A voltmeter is always connected in parallel across the points where the potential difference is to be measured. This is because it has a very high internal resistance, ensuring it draws minimal current and accurately measures the voltage without disturbing the circuit.
The problem presents a series consisting of an alphabet and a number. We need to identify the pattern for both the alphabetical and numerical parts separately to find the next term in the series.
The alphabetical part of the series is C, G, K, ...
Following this pattern, the next alphabet should be K + 4 letters. Counting 4 letters after K (L, M, N), we get O.
The numerical part of the series is 2, 12, 72, ...
Let's look for a multiplication pattern:
Following this pattern, the next number should be \(72 \times 6\).
\[ 72 \times 6 = 432 \]The next alphabet is O and the next number is 432. Combining them gives O432.
B) O432 — This option correctly follows both the alphabetical and numerical patterns identified.
This problem involves analyzing logical statements and conclusions, a common type of question in competitive exams. We will use Venn diagrams to represent the given statements and then evaluate the conclusions based on these diagrams.
C) Only conclusion 1 follows.
The question asks to identify the item that does not belong to the group formed by the other items. This is a classification-based reasoning question where we need to find a common characteristic among most of the given options and identify the one that lacks this characteristic.
Correct Option: C) Author
The question asks about a specific appointment of Satya Pal Malik as Governor by President Ram Nath Kovind. This requires knowledge of political appointments and current affairs during a particular period.
Correct Option: B) Bihar
This question tests knowledge of appointments to key government positions in India, specifically the chief of the Narcotics Control Bureau (NCB) in a particular year. To answer this, one needs to recall or identify the individual who held that position in 2018.
Correct Option: B) Abhay
The question asks to identify the physical quantity among the given options that does not have a unit. This requires understanding the definition and formula for each quantity and deriving their respective units.
D) Relative density has no unit because it is a ratio of two quantities with the same unit, causing the units to cancel out.
The question asks us to identify the implicit assumption associated with the statement that exercise improves overall health. We need to analyse both assumptions and determine which one directly connects exercise with a process that contributes to health improvement. By examining the relevance of each assumption to the statement, we can identify the correct option.
Understand the given statement:
Statement: Exercise improves overall health.
The statement highlights the positive relationship between physical exercise and overall health. Regular exercise contributes to physical fitness, mental well-being, and the proper functioning of various body systems.
Understand the concept of an implicit assumption:
An implicit assumption is an unstated idea that is taken for granted in a statement. To identify an implicit assumption, we examine the connection between the statement and the ideas presented in the assumptions.
Analyse Assumption I:
Assumption I: Increased serotonin levels bring health benefits.
Serotonin is a neurotransmitter that plays an important role in regulating mood, sleep, and other physiological functions.
Although increased serotonin activity may be associated with certain health benefits, this assumption does not establish any direct connection between serotonin levels and exercise.
The statement specifically discusses exercise and its role in improving health, whereas Assumption I only discusses the health benefits of serotonin without relating them to exercise.
Therefore, Assumption I does not directly support the given statement.
Conclusion: Assumption I is not implicit.
Analyse Assumption II:
Assumption II: Exercise removes toxins naturally in the form of sweat.
This assumption directly connects exercise with a bodily process that is presented as contributing to better health.
During physical exercise, sweating helps regulate body temperature. Sweat also contains small quantities of certain waste substances, although the liver and kidneys perform the body's major waste-removal functions.
In the context of the question, the assumption provides a possible supporting explanation for the statement that exercise improves overall health.
Unlike Assumption I, Assumption II explicitly mentions exercise and relates it to a health-related process.
Therefore, Assumption II is taken as implicit.
Conclusion: Assumption II is implicit.
Determine the correct answer:
Therefore, only Assumption II is considered implicit in the statement.
Correct Option: D) Only II is implicit — Assumption II directly connects exercise with a proposed health-related process, namely the removal of certain substances through sweating. Assumption I discusses serotonin-related health benefits without establishing a direct connection with exercise. Therefore, Option D is the correct answer.
A) Only I is implicit: This is incorrect because Assumption I discusses the health benefits of increased serotonin levels without establishing a direct relationship with exercise. Therefore, it does not directly support the given statement.
B) Neither I nor II is implicit: This is not the selected answer under the interpretation used in this question because Assumption II directly connects exercise with a proposed health-related process and is treated as a supporting assumption.
C) Both I and II are implicit: This is incorrect because Assumption I does not establish a direct connection between serotonin levels and exercise. Since only Assumption II provides a directly related supporting explanation, both assumptions cannot be considered implicit under this interpretation.
x = \( \frac{63.5535}{13.05} \). Find the value of x:
To find the value of \(x\), we need to perform the division of the given decimal numbers. It is often easier to perform division with whole numbers. We can convert the decimal division into an equivalent division of whole numbers by multiplying both the numerator and the denominator by a suitable power of 10.
To eliminate decimals, we need to shift the decimal point. The denominator \(13.05\) has two decimal places, and the numerator \(63.5535\) has four decimal places. To make both whole numbers, we multiply both the numerator and the denominator by \(10^4\) (or \(10000\)) to shift the decimal point four places to the right.
\[ x = \frac{63.5535 \times 10000}{13.05 \times 10000} = \frac{635535}{130500} \]Now, we need to divide \(635535\) by \(130500\).
We can estimate the value first. \(635535\) is approximately \(6.3\) lakhs and \(130500\) is approximately \(1.3\) lakhs. So, \(x \approx \frac{6.3}{1.3} \approx 4.8\).
Let's perform the long division:
So, the result of the division is \(4.87\).
\[ x = 4.87 \]Correct Option: C) 4.87
The problem provides the percentage of females in a village population and the absolute number of males. We need to find the total population. We can determine the percentage of males first, then use this percentage and the given number of males to calculate the total population.
Let the total population of the village be \(P\).
Given that 15% of the population are females.
Percentage of females \( = 15\% \)
The remaining percentage of the population must be males. The total percentage of the population is 100%.
Percentage of males \( = 100\% - \text{Percentage of females} \)
Percentage of males \( = 100\% - 15\% \)
Percentage of males \( = 85\% \)
We are given that the number of males is 272.
So, 85% of the total population \(P\) is equal to 272.
\[ 85\% \times P = 272 \]To find the total population \(P\), we can set up the equation:
\[ \frac{85}{100} \times P = 272 \]Now, solve for \(P\):
\[ P = \frac{272 \times 100}{85} \]Perform the division:
Divide both 272 and 85 by their common factor, which is 17.
\[ 272 \div 17 = 16 \]\[ 85 \div 17 = 5 \]Substitute these values back into the equation:
\[ P = \frac{16 \times 100}{5} \]Simplify the expression:
\[ P = 16 \times 20 \]\[ P = 320 \]Thus, the total population of the village is 320.
D) 320 — The calculation shows that 85% of the total population is 272, which leads to a total population of 320.
A) 400 — If the total population were 400, then 85% of 400 would be \(0.85 \times 400 = 340\), which is not 272.
B) 420 — If the total population were 420, then 85% of 420 would be \(0.85 \times 420 = 357\), which is not 272.
C) 380 — If the total population were 380, then 85% of 380 would be \(0.85 \times 380 = 323\), which is not 272.