To solve this blood relation problem, we need to establish the relationships between the individuals mentioned (X, Y, Z) step by step and then deduce the final relationship requested.
Z's father is the father of X's parent (Z). This means Z's father is the grandfather of X.
The problem asks us to identify the odd one out from a set of four letter sequences. We need to look for a pattern or rule that applies to three of the sequences and is violated by one.
Let's re-examine the pattern. The options seem to be groups of four consecutive letters from the English alphabet, but the order might be the key.
From the analysis, options A, B, and D follow a pattern of two consecutive letters increasing, followed by a jump back. Specifically, the pattern is \(+1, +1, -3\) in terms of alphabetical position. Option C, however, follows a strict reverse alphabetical order, meaning each subsequent letter is one position earlier in the alphabet (\(-1, -1, -1\)).
C) ponm — This option consists of four consecutive letters (P, O, N, M) arranged in strictly reverse alphabetical order. The other options (xyzw, mnol, ghif) follow a different pattern where the first three letters are in ascending order, and the fourth letter is not the next consecutive letter but rather the first letter of the sequence, or a similar non-sequential jump. More precisely, for A, B, and D, the pattern of alphabetical positions is \((n), (n+1), (n+2), (n-1)\) where the last letter is the first letter of the sequence minus 1. For example, in 'xyzw', X(24), Y(25), Z(26), W(23). The pattern is \(n, n+1, n+2, n-1\). In 'ponm', the pattern is \(n, n-1, n-2, n-3\).
The problem asks us to determine which statement(s) are sufficient to find the day of the week for the 14th of a given month. We will analyze each statement independently to see if it provides enough information.
Comparing the analysis of both statements, Statement 1 is insufficient, and Statement 2 is sufficient.
As determined from our analysis, Statement 1 does not provide enough information to find the day of the 14th because the length of the month is unknown. Statement 2, however, allows us to pinpoint the day of the week for the 14th.
To determine the possible values of 'x' for the number x3451 to be divisible by 3, we use the divisibility rule for 3. This rule states that a number is divisible by 3 if the sum of its digits is divisible by 3. We will find all possible single-digit values for 'x' that satisfy this condition and then sum them up.
Understand the Divisibility Rule for 3: A number is divisible by 3 if the sum of its digits is divisible by 3.
Sum the known digits: The given number is x3451. The known digits are 3, 4, 5, and 1. Their sum is:
\[ 3 + 4 + 5 + 1 = 13 \]Formulate the condition for divisibility: For the number x3451 to be divisible by 3, the sum of all its digits must be divisible by 3. This means:
\[ x + 13 \] must be divisible by 3.Find possible values for x: Since 'x' is a digit, it can take values from 0 to 9 (i.e., \(x \in \{0, 1, 2, 3, 4, 5, 6, 7, 8, 9\}\)). We need to find which of these values make \(x + 13\) divisible by 3.
The possible values for 'x' are 2, 5, and 8.
Calculate the sum of all such values of x:
\[ 2 + 5 + 8 = 15 \]C) 15 is the sum of all possible values of x (2, 5, and 8) that make the number x3451 divisible by 3.
The problem provides the sum of 15 observations and the mean of the data in terms of a variable 'x'. We need to find the value of 'x'. We will use the fundamental formula for the mean of a data set, which states that the mean is equal to the sum of all observations divided by the number of observations.
The mean of a data set is given by:
\[ \text{Mean} = \frac{\text{Sum of observations}}{\text{Number of observations}} \]We have:
\[ x = \frac{434 + x}{15} \]Multiply both sides by 15:
\[ 15x = 434 + x \]Subtract \(x\) from both sides:
\[ 15x - x = 434 \]\[ 14x = 434 \]Divide both sides by 14:
\[ x = \frac{434}{14} \]\[ x = 31 \]B) 31 — By applying the formula for the mean and solving the resulting linear equation, we find that the value of x is 31.
This is a direction sense problem. We need to determine the relative direction of Rita with respect to Kamala based on their positions relative to Neeta. Visualizing the positions on a compass or drawing a simple diagram is the most effective way to solve this.
C) East — From Kamala's position, to reach Rita, one must move in the East direction. Both Kamala and Rita are equidistant (50m) from Neeta, and both are in the southern hemisphere relative to Neeta. Kamala is at the South-West corner, and Rita is at the South-East corner. Thus, from Kamala, Rita is due East.
To find the energy dissipated in a resistor, we can use Joule's law of heating. The energy dissipated (or heat produced) can be calculated using the formula \(E = I^2 R t\), where \(I\) is the current, \(R\) is the resistance, and \(t\) is the time. It's crucial to ensure all units are in the standard SI system before calculation.
The SI unit for time is seconds. So, convert 1 minute to seconds.
\[ t = 1 \, \text{minute} \times 60 \, \frac{\text{seconds}}{\text{minute}} = 60 \, \text{s} \]The formula for energy dissipated is:
\[ E = I^2 R t \]The energy dissipated in the resistor is 1350 Joules.
Correct Option: A) 1350 J
This question asks us to identify implicit assumptions based on a given argument. An assumption is something taken for granted or supposed without proof. We need to analyze the argument and determine what must be true for the argument to make sense.
Argument: The present government had reduced the base price for auctioning for the 2G spectrum.
Let's analyze each assumption:
Based on this analysis, only assumption 2 is implicit.
B) Only assumption 2 is implicit
The question asks whether all natural numbers are whole numbers. We need to evaluate if either statement (I) or (II) alone, or both, or neither, is sufficient to answer this question definitively.
Analyze the question: The question is a yes/no type: "Are all natural numbers whole numbers?" To answer this, we need to know the definitions of natural numbers and whole numbers and their relationship.
Evaluate Statement (I): "All natural numbers plus 0 are called whole numbers."
Evaluate Statement (II): "Whole numbers are different from natural numbers."
Conclusion: Statement (I) alone is sufficient to answer the question, while Statement (II) alone is not sufficient.
C) (I) alone is sufficient while (II) alone is not sufficient to answer the question.
Statement (I) defines whole numbers as the set of natural numbers including zero. This definition directly implies that every natural number is also a whole number, thus providing a definitive "Yes" to the question.
The question asks to identify the actor-turned-politician who was a Lok Sabha Member from the Ahmedabad (East) constituency as of 2018. This requires knowledge of Indian political figures and their constituencies during that period.
Correct Option: B) Paresh Rawal was the Lok Sabha Member from the Ahmedabad (East) constituency from 2014 to 2019, which includes the year 2018.