We will be solving interesting sets as a part of this series LRDI of the Day. I will be posting a video solution by the end of the day. You can keep a track of all the sets by clicking here: LRDI of the Day

#LRDIoftheDay #22 Simple arrangements set.

Six girls P, Q, R, S, T and U have to be allotted six seats in a particular row of an AC chair car compartment of Jan Shatabdi express. The seats are successively numbered from 41 to 46 in order. Seats numbered 41 and 46 are window seats, while 43 and 44 are aisle seats.

Allotment of seats has to be made according to the following conditions:

I. Q and S quarrel a lot, so they must not be in adjacent seats.

II. S and U are best friends, so they are to be given adjacent seats.

III. R cannot sit for long hours at a time, so she must be allotted a seat along the passage.

IV. T has requested for a window seat, so she should be allotted one.

1. If P gets seat 42 and T does not get seat 41, which of the following must be true?

a. S is allotted seat numbered 44

b. Q is allotted a window seat

c. U is allotted a seat along the passage.

d. None of these

2. If Q is allotted seat number 42, and R is not allotted seat number 43, then which of the following statements are necessarily true?

I. P is allotted seat number 43.

II. S is allotted seat number 45.

III. T is allotted seat number 41.

IV. U is allotted a window seat.

a. I and II

b. II and III

c. I and III

d. II and IV

3. If S is not allotted seats 41, 42 or 43 and Q is allotted a seat beside U, then which of the following must be true?

a. P is allotted seat number 42

b. T is allotted seat number 41

c. U is allotted seat number 45

d. All three statements are true

4. If T is allotted seat number 46 and U gets a seat along the passage, then which of the following must be true?

a. S = 42/45

b. P = 41/42

c. Q = 41/42/45

d. All of these

The solution

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