The question asks to identify the incorrect statement regarding plant nutrition. We need to evaluate each option based on fundamental principles of plant physiology and nutrient uptake.
Correct Option: A) Minerals and nutrients are poorly absorbed by water. This statement is incorrect. Plants absorb minerals and nutrients primarily when they are dissolved in water. Water acts as the medium for transporting these dissolved nutrients from the soil into the plant roots and then throughout the plant.
The problem asks for the total number of students going for a tour, given the number of students per group and the total number of groups. We need to multiply the number of students in each group by the total number of groups.
Substituting the given values:
\[ \text{Total students} = 15 \times 11 \]Performing the multiplication:
\[ 15 \times 11 = 165 \]So, there are 165 students going for the tour.
B) 165 is the correct answer because multiplying the number of students per group (15) by the number of groups (11) gives the total number of students, which is 165.
The question asks to identify the educational institution that was NOT established as a result of Mahatma Gandhi's Non-Cooperation Movement. This requires knowledge of the history of these institutions and their founding principles/timelines.
Serampore College was founded in 1818 by the Danish missionary William Carey and his colleagues. It is one of the oldest educational institutions in India. Its establishment predates Mahatma Gandhi's Non-Cooperation Movement by over a century and had no connection to the nationalist movement for alternative education.
The question asks about the applicability of Newlands' Law of Octaves. This law was an early attempt to classify elements based on their properties, and it had limitations. We need to recall which elements it successfully described.
B) Newlands' Law of Octaves worked well only with lighter elements only, specifically up to calcium. Beyond calcium, the periodicity of properties observed by Newlands broke down.
To solve this problem, we will assume an initial monthly income and then calculate the initial savings and expenditure. Next, we will calculate the new income, new savings, and new expenditure based on the given percentage increases. Finally, we will determine the percentage increase in expenditure.
Correct Option: A) 5.7 %
The problem is based on inequalities. We are given a statement involving relationships between different variables and need to determine which of the given conclusions is NOT true based on the statement. We will analyze the given statement and then evaluate each conclusion.
The statement is given as: \(H \ge T > F\)
This can be broken down into two parts:
Combining these, we can infer that \(H > F\) is also true, as \(H \ge T\) and \(T > F\) implies \(H\) must be strictly greater than \(F\).
B) \(N > X\)
The given statement is \(H \ge T > F\). The variables \(N\) and \(X\) are not present in the given statement. Therefore, we cannot establish any relationship between \(N\) and \(X\) based on the provided information. Since we cannot determine if \(N > X\) is true or false from the statement, it is a conclusion that is NOT necessarily true. In such problems, if a relationship cannot be established, the conclusion is considered not true or false.
Similar to option B, the variables \(X\) and \(N\) are not mentioned in the statement \(H \ge T > F\). Therefore, we cannot conclude that \(X \ge N\) is true or false. Since we cannot establish this relationship, this conclusion is also NOT necessarily true. However, the question asks for the conclusion that is NOT true, and typically in these types of questions, if a relationship cannot be established, it's considered 'not true'. But since option B is also 'not true' for the same reason, and usually only one option is the answer, let's re-evaluate the premise. The question asks "which conclusion is NOT true based on the statement". If a conclusion cannot be derived, it is considered NOT true. Both A and B fall into this category. However, in competitive exams, if two such options exist, there might be an implicit assumption or a typo in the question or options. Assuming the question implies that the conclusion must be definitively false or cannot be established, then both A and B are 'not true'. But if we have to pick one, and if there's no other context, both are equally 'not true'. Let's assume there might be a missing part of the statement or an implicit context where other variables are not related. Without additional information, we cannot confirm or deny this. However, if we consider the standard interpretation where we must find a statement that is impossible or cannot be derived, then both A and B are candidates. Given that B is marked as the correct answer, it implies that the lack of information makes it 'not true'.
Again, the variable \(X\) is not present in the statement \(H \ge T > F\). Therefore, we cannot establish any relationship between \(H\) and \(X\). We cannot conclude that \(H < X\) is true or false. Thus, this conclusion is NOT necessarily true based on the statement.
The variable \(K\) is not present in the statement \(H \ge T > F\). Therefore, we cannot establish any relationship between \(K\) and \(F\). We cannot conclude that \(K > F\) is true or false. Thus, this conclusion is NOT necessarily true based on the statement.
Re-evaluation: The question asks to find out which conclusion is NOT true based on the statement. All four options (A, B, C, D) introduce variables (\(X, N, K\)) that are not present in the original statement \(H \ge T > F\). Therefore, none of these conclusions can be definitively proven true or false based *solely* on the given statement. In such a scenario, any conclusion involving variables not in the statement is considered "NOT true" because its truth value cannot be established from the given information. If only one option can be selected, there might be an error in the question or options, or an unstated assumption. However, if we strictly interpret "NOT true" as "cannot be proven true from the statement", then all options A, B, C, D are equally valid answers. Given that B is the marked correct answer, it implies that the absence of information about \(N\) and \(X\) makes the relationship \(N > X\) unprovable and hence "not true" in the context of the problem.
This is a logical reasoning problem involving arrangement based on given conditions. We need to determine the travel month for each person by systematically placing them into the given months based on the clues provided.
Correct Option: C) R
The question asks to identify the part of a magnet from which magnetic field lines originate. Understanding the conventional representation of magnetic field lines is key to answering this question.
A) north pole — Magnetic field lines are conventionally depicted as emerging from the North pole of a magnet and entering the South pole.
To identify the element with non-metallic properties, we need to recall the general classification of elements in the periodic table and their characteristic properties. Non-metals are typically found on the right side of the periodic table (excluding noble gases) and tend to gain electrons to form negative ions, are poor conductors of heat and electricity, and are brittle in solid form.
A) Cl — Chlorine (Cl) is a halogen, located in Group 17 of the periodic table. Elements in this group are non-metals. They readily gain one electron to achieve a stable electron configuration, forming negative ions. Chlorine is a gas at room temperature, a poor conductor of electricity, and has high electronegativity, all characteristic properties of non-metals.
Express 0.4\(\overline{35}\) in the form \( \frac{p}{q} \), where p and q are integers and q ≠ 0.
\(\frac{456}{991}\)
\(\frac{425}{990}\)
\(\frac{431}{990}\)
\(\frac{430}{991}\)
To express a repeating decimal (non-terminating but recurring) in the form \(\frac{p}{q}\), we use an algebraic method. We set the given decimal equal to a variable, multiply it by powers of 10 to align the repeating part, and then subtract the equations to eliminate the repeating decimal portion.
Let \(x = 0.4\overline{35}\).
This means \(x = 0.4353535...\) (Equation 1)
The non-repeating part is '4'. To move it to the left of the decimal, we multiply Equation 1 by \(10^1 = 10\).
\[ 10x = 4.353535... \] (Equation 2)The repeating block is '35', which has 2 digits. So we multiply Equation 1 by \(10^3 = 1000\) to move one full repeating block and the non-repeating part to the left of the decimal.
\[ 1000x = 435.353535... \] (Equation 3)Subtract Equation 2 from Equation 3 to eliminate the repeating part.
\[ \begin{aligned} 1000x &= 435.353535... \\ -\quad 10x &= \phantom{00}4.353535... \\ \hline 990x &= 431 \end{aligned} \]Divide both sides by 990.
\[ x = \frac{431}{990} \]Here, \(p = 431\) and \(q = 990\). Both are integers, and \(q \ne 0\). The fraction is in its simplest form because 431 is a prime number, and it is not a factor of 990.