The question gives six people A, B, C, D, E and F living on floors 1 (bottom) to 6 (top) of a building, along with clues about their floors. We need to test the possible floors for C, place everyone and find who lives on floor 5.
Identify the given information:
List the possible floors for C:
C is above floor 3 and has F directly above, so C is on floor 4 or 5. With two people between C and B, B is three floors away from C.
Case 1: C on floor 4:
Then F is on floor 5 and B is on floor 1. The free floors are 2, 3 and 6. No two of these floors have exactly one floor between them, so E and D cannot be placed. This case is rejected.
Case 2: C on floor 5:
Then F is on floor 6 and B is on floor 2. The free floors are 1, 3 and 4. E and D must be on floors 1 and 3. Since E is above B (floor 2), E is on floor 3 and D is on floor 1. A takes floor 4.
Final order from floor 1 to 6: D, B, E, A, C, F.
Correct Option: B) C — In the only valid arrangement, C lives on floor 5. Hence, Option B is the correct answer.
A) F: This is incorrect because F lives on floor 6, the topmost floor.
C) A: This is incorrect because A lives on floor 4.
D) E: This is incorrect because E lives on floor 3.
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 gives the seating positions of six people around a circular table, all facing the centre. We need to place each person step by step using the given conditions, and then find who is seated second to the right of L.
Identify the given information:
Recall the direction rule:
When people sit around a table facing the centre, moving to a person's left means moving clockwise, and moving to a person's right means moving anticlockwise.
Place J, H and L:
Fix J at seat 1 and number the seats clockwise from 1 to 6.
H is second to the right of J. Moving two seats anticlockwise from seat 1 gives seat 5.
L is third to the left of H. Moving three seats clockwise from seat 5 gives seat 2.
Place K, M and I:
K is a neighbour of L (seat 2). Seat 1 is J's, so K is at seat 3.
Seats 4 and 6 are left. M is not a neighbour of K, so M cannot be at seat 4. M is at seat 6 and I is at seat 4.
Final arrangement (clockwise): J (1), L (2), K (3), I (4), H (5), M (6).
Find the person second to the right of L:
L is at seat 2. Moving two seats anticlockwise: 1 (J), 6 (M).
Therefore, M is seated second to the right of L.
Correct Option: D) M — The clockwise arrangement is J, L, K, I, H, M. Moving two seats anticlockwise from L reaches M. Hence, Option D is the correct answer.
A) H: This is incorrect because H is directly opposite L, three seats away.
B) K: This is incorrect because K is to the immediate left of L.
C) I: This is incorrect because I is second to the left 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.
The question gives the statement A = B > C ≥ D > E < F = G and asks which conclusion is NOT true. We need to compare the elements in each conclusion through the chain of inequalities and find the conclusion that does not follow.
Identify the given information:
Check each conclusion:
Correct Option: B) 1 — In A = B > C ≥ D > E < F, the signs between A and F point in opposite directions, so A ≥ F cannot be concluded. Conclusions 2, 3 and 4 follow from the statement. Hence, Option B is the correct answer.
A) 2: This is incorrect because E < F = G gives E < G, so Conclusion 2 is true.
C) 3: This is incorrect because B > C ≥ D > E gives B > E, so Conclusion 3 is true.
D) 4: This is incorrect because C ≥ D > E gives C > E, so Conclusion 4 is true.
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