A question is given, followed by two statements numbered (I) and (II). You have to decide whether the data provided in the statements is sufficient to answer the question. Read both the statements and select the appropriate answer. Question: How many people are standing in the row where all people are facing north? Statements: (I) A is fourth from the left end; M is second to the right of A; and R is second from the left end. (II) M is fourth from the right end; only two people Stand between M and B.
Data in statements I and II together is sufficient to answer the question
To determine the total number of people in the row, we need to find a fixed position for at least one person relative to both the left and right ends.
Analysis of Statement I
R is 2nd from the left.
A is 4th from the left.
M is 2nd to the right of A, which makes M the 6th person from the left ($4 + 2 = 6$).
Result: This statement gives us the positions of R, A, and M relative to the left end, but it provides no information about where the right end of the row is.
Statement I alone is insufficient.
Analysis of Statement II
M is 4th from the right end.
There are two people between M and B.
Result: This tells us M's position relative to the right end, but it provides no information about the left end of the row.
Statement II alone is insufficient.
Combining Statement I and Statement II
When we combine the data from both statements, we can pin down a specific person's position relative to both ends:
From Statement I, we know M is 6th from the left end.
From Statement II, we know M is 4th from the right end.
To find the total number of people, we use the standard formula for positions in a row:
$$\text{Total} = (\text{Position from Left} + \text{Position from Right}) - 1$$
$$\text{Total} = (6 + 4) - 1 = 9$$
Final Conclusion
By combining the two statements, we established that M is the 6th person from the left and the 4th person from the right, making a total of 9 people in the row.
Both Statement I and Statement II together are sufficient to answer the question.
Important Questions from Linear Arrangement
Eight friends, A, B, C, D, E, F, G and H, are sitting in two lines of four persons each. Both the lines are facing each other. A is facing D. E is to the immediate left of G. H is to the immediate right of B. C is facing G. F is facing H. B is to the immediate right of the person who is facing G. D is to the immediate left of F. Which four persons are sitting in the same line?
Nine employees, K, L, M, N, O, P, Q, R and S, are sitting in the office in a straight line, all facing the east. O is third to the right of M. K is third to the left of P. Q is between P and S. N is fourth to the right of M. P is to the immediate right of N. R is fourth to the left of O. Which of the following statements is NOT correct?
Eight north-facing restaurants named P, Q, R, S, T, U, V and W are located in a straight line. S is second to the left of T. W is third to the left of P. T is between P and V. S is third to the left of V. W is to the immediate right of U. R is third to the right of P. Who is sitting fourth to the right of S?
Anamika, Gopal, Nischal, Vanmayi, Shresta and Sripad are sitting in a straight line facing the north. Nischal is to the immediate left of Gopal. Shresta is between Anamika and Sripad. Sripad is at the second place from the right end. Four persons are sitting between Nischal and Vanmayi. If Gopal and Sripad interchange their positions, then who will be sitting between Vanmayi and Shresta?
In this question, a question is followed by two statements numbered (I) and (II). You have to decide whether the data provided in the statement/s are sufficient to answer the question. Read both the statements and choose your answer carefully.
Question: P, Q, R, S, T, U and V are 7 people standing in a row all facing North (not necessarily in the same order). Who is standing second to the right of T?
Statements:
(I) U is standing 3rd from the right end and 2nd to the left of R.
(II) Q is standing to the immediate right of T. Q is standing 2nd to the left of P
