P, Q, R, S, T, U and V are sitting around a circular table facing the centre. Both Q and V are immediate neighbours of S. V sits third to the left of T. R sits to the immediate left of T. U is not an immediate neighbour of V. How many people sit between S and U when counted from the right of S?

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NTPC Graduate Tier 1

2025 • 06 Jun, 2025 • Shift-3

P, Q, R, S, T, U and V are sitting around a circular table facing the centre. Both Q and V are immediate neighbours of S. V sits third to the left of T. R sits to the immediate left of T. U is not an immediate neighbour of V. How many people sit between S and U when counted from the right of S?

Correct Answer

Decoding Positions: Let's place the 7 people (positions 1-7, facing center, right is counter-clockwise, left is clockwise). 1. 'V sits third to the left of T': ......

💡 Analysis & Explanation

Decoding Positions ▼

Let's place the 7 people (positions 1-7, facing center, right is counter-clockwise, left is clockwise). 1. 'V sits third to the left of T': Let T be at position 1. Left is clockwise. So V is at position 4 ($1+3$). 2. 'R sits to the immediate left of T': R is at position 2 (clockwise from 1).

Placing Neighbours ▼

3. 'Both Q and V are immediate neighbours of S': Since V is at 4, S must be at 5 or 3. If S is at 3, its neighbours are V(4) and R(2). But Q must be the other neighbour. So S cannot be at 3. Therefore, S must be at 5. The neighbours of S(5) are V(4) and Q(6). So Q is at 6.

Placing Remaining People ▼

We have placed T(1), R(2), V(4), S(5), Q(6). Positions 3 and 7 are empty. The remaining people are P and U. 4. 'U is not an immediate neighbour of V': V is at 4. Its neighbours are 3 and 5. Position 5 is S. Position 3 cannot be U. Therefore, U must be at position 7. This leaves P at position 3. Final arrangement (1 to 7 clockwise): T, R, P, V, S, Q, U.

Calculating Distance ▼

We need to count people between S and U from the right of S. Right means counter-clockwise. S is at 5. Moving counter-clockwise: from 5, we go to 4(V), 3(P), 2(R), 1(T), 7(U). The people between S(5) and U(7) in this direction are V(4), P(3), R(2), T(1). Total 4 people.

Conclusion ▼

Counting from the right of S, we encounter V, P, R, and T before reaching U, making a total of 4 people.

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P, Q, R, S, T, U and V are sitting around a circular table facing the centre. Both Q and V are immediate neighbours of S. V sits third to the left of T. R sits to the immediate left of T. U is not an immediate neighbour of V. How many people sit between S and U when counted from the right of S?