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In a hall there are seven children (including girls and boys) P, Q, R, S, T, U and V. They sit on three benches I, II and III. Such that at least two children on each bench and at least one girl on each bench. R who is a girl child, does not sit with P, T and S. U the boy child sits with only Q. P sits on the bench I with his best friends. V sits on the bench III. T is the brother of R. Who sits with R?

  1. A
    S
  2. B
    U
  3. C
    Q
  4. D
    V

Solution & Step-by-step Explanation

Let's logically break down the rules and constraints given:
Total children = 7 (P, Q, R, S, T, U, V).

Benches = I, II, III.

Distribution constraint: At least 2 children per bench. Since total children = 7, the allocation across the three benches must be 3,2,2.

Gender constraint: At least 1 girl on each bench.

U (boy) sits with only Q. This implies that the bench containing U has exactly 2 people: U and Q.

P sits on Bench I. Since U and Q occupy a bench entirely by themselves, that bench must be Bench II or Bench III.

V sits on Bench III.

Since U and Q are alone together on a bench, and Bench III contains V, U and Q must be on Bench II.

Bench II: U, Q

Now we are left with Benches I and III, and children P, R, S, T, V.

Bench I has P.

Bench III has V.

R is a girl and does not sit with P, T, or S.

Since R cannot sit with P, she cannot be on Bench I.

Since U and Q are alone on Bench II, R cannot be on Bench II.

Therefore, R must sit on Bench III.

Let's look at who sits on Bench III: V is already on Bench III. So R sits with V.

Let's double-check the remaining positions to ensure consistency:

Bench I: P, T, S (3 people)

Bench II: U, Q (2 people)

Bench III: V, R (2 people)

This fulfills all conditions perfectly. Thus, V sits with R.

Practice this question

Try it yourself before checking the explanation above.

In a hall there are seven children (including girls and boys) P, Q, R, S, T, U and V. They sit on three benches I, II and III. Such that at least two children on each bench and at least one girl on each bench. R who is a girl child, does not sit with P, T and S. U the boy child sits with only Q. P sits on the bench I with his best friends. V sits on the bench III. T is the brother of R. Who sits with R?
A
S
B
U
C
Q
D
V

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