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Question

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.

This question was previously asked in
SSC CGL 2022 Tier-II (Paper 2 JSO) Previous Year Paper (04-Mar-2023)
The correct answer is

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.

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Similar Questions

  1. 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: Six people sit in two parallel rows. In Row 1 - J, K and L sit facing towards north, and in Row 2 - F, G and H sit facing towards south. Each person in a row faces a person in the other row. Who faces G?

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Important Questions from Linear Arrangement

  1. M, N, L, O, Q and H are sitting in a row. Q and H are in the centre. M and N are at the ends. L is sitting to the immediate left of N. Who is to the right of M?

  2. Five friends, Shruti, Shreya, Anup, Ankit and Kiran, are sitting in a row facing towards the south. Shruti is between Shreya and Anup. Kiran and Shreya are sitting at the extreme ends of the west and east, respectively. Who is sitting in the middle?

  3. Five students are standing in a line. Suman is standing next to Pranav but not next to Deena. Kumar is standing next to Raju, who is standing on the extreme left, and Deena is not standing next to Kumar.

    Who is standing in the middle?
  4. Eight friends, A, B, C, D, E, F, G and H, are sitting in a straight line, all facing the north. F is sitting between D and G. B is sitting between H and A. E is third to the left of G. G is sitting at one of the corners. H is third to the left of C. Who is sitting between A and E?

  5. Five students are sitting in a row. Akbar is to the left of the person sitting in the middle, but to the right of Sekar. Prakash is to the right of Deva, and Ram is to the right of Prakash. Ram is second from the person sitting in the middle. Who is the person sitting in the middle?

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