H, I, J, K, L and M are six people sitting around a circular table facing the centre of the table for a group discussion. H is seated second to the right of J. L is seated third to the left of H. M is not the immediate neighbour of K. K is the immediate neighbour of L. Who is seated second to the right of L?
The question asks about the impact of acid rain on river water. Acid rain is defined as rainwater with a pH below 5.6. Understanding the definition of pH and how it relates to acidity is key to answering this question.
Correct Option: A) The pH of river water decreases.
This is a direction sense problem. To solve it, we need to understand the position of the sun and the direction of shadows in the early morning. In the early morning, the sun rises in the East, and shadows fall towards the West.
Therefore, Shreya was facing East.
D) East — As determined in the step-by-step analysis, for Moum's shadow (falling West) to be directly on Shreya, Shreya must be to Moum's West. Since they are facing each other, Shreya must be facing East.
The question asks about the effects of iron and manganese in water. We need to evaluate each given statement (i, ii, iii, iv) based on the known properties and impacts of these elements in water quality.
A) (ii) and (iii) are the correct statements. Iron and manganese can make water taste metallic and cause discoloration (yellowish, reddish-brown, or black).
The problem asks us to calculate the focal length of a corrective lens given its power. We will use the fundamental relationship between the power of a lens and its focal length.
D) –15.38 cm — The calculated focal length is \(-15.38 \text{ cm}\), which matches this option. The negative sign indicates that it is a concave lens, which is used to correct myopia (nearsightedness).
A quadratic equation is an equation of the form \(ax^2 + bx + c = 0\), where \(a\), \(b\), and \(c\) are real numbers, and \(a \neq 0\). The highest power of the variable (usually \(x\)) in a quadratic equation must be 2. We will expand and simplify each given option to determine if it fits this standard form.
A) \((x + 1)^2 = 2(x – 1)\) simplifies to \(x^2 + 3 = 0\), which is a quadratic equation because the highest power of \(x\) is 2 and the coefficient of \(x^2\) is non-zero.
This problem involves analyzing logical statements and conclusions, a common type of question in competitive exams. We will use Venn diagrams or the rules of syllogism to determine whether the given conclusions logically follow from the statements. The key is to remember that "Some A are B" implies an intersection between A and B, but does not provide information about the entire set or about non-overlapping parts.
A) Neither conclusion (I) nor (II) follows. As determined in the step-by-step analysis, there is no definite logical connection established between Pens and Plastics, or between Blues and Inks, based solely on the "some" relationships provided. The statements only indicate partial overlaps between adjacent categories, not transitive relationships across all categories.
To solve this problem, we need to perform two main steps: first, subtract 1 from each digit of the given number to form a new number. Second, identify the first and last digits of this newly formed number and calculate their sum.
Correct Option: B) 10