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A certain apartment has only 1-room and 2-rooms. If the range of the t

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A certain apartment has only 1-room and 2-rooms. If the range of the t [#permalink]

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New post 21 Feb 2017, 19:41
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Question Stats:

53% (01:16) correct 47% (02:37) wrong based on 62 sessions

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A certain apartment has only 1-room and 2-rooms. If the range of the total rental fees for 1-room and 2-rooms combined is $1,000 and the range of the rental fees for 2-rooms is $200, what is the range of the rental fees for 1-room?

(1) The smallest rental fee for 2-rooms is $2,800.

(2) The smallest rental fee for 2-room is $200 more expensive than the greatest rental fee for 1-room.

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A certain apartment has only 1-room and 2-rooms. If the range of the t [#permalink]

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New post 02 May 2017, 20:13
ziyuen wrote:
A certain apartment has only 1-room and 2-rooms. If the range of the total rental fees for 1-room and 2-rooms combined is $1,000 and the range of the rental fees for 2-rooms is $200, what is the range of the rental fees for 1-room?

(1) The smallest rental fee for 2-rooms is $2,800.

(2) The smallest rental fee for 2-room is $200 more expensive than the greatest rental fee for 1-room.


From \(Range = Max - Min\), Range \((R_1) = L_1-S_1\) of 1-room and Range \((R_2) = L_2-S_2\) of 2-rooms.

_____$600_________$200_________$200_____
\(S_1\)__________\(L_1\)__________\(S_2\)__________\(L_2\)__
$2000_______$2600_______$2800_______$3000__

Answer : B
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"Be challenged at EVERY MOMENT."

“Strength doesn’t come from what you can do. It comes from overcoming the things you once thought you couldn’t.”

"Each stage of the journey is crucial to attaining new heights of knowledge."

Rules for posting in verbal forum | Please DO NOT post short answer in your post!

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Re: A certain apartment has only 1-room and 2-rooms. If the range of the t [#permalink]

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New post 02 May 2017, 20:31
ziyuen wrote:
A certain apartment has only 1-room and 2-rooms. If the range of the total rental fees for 1-room and 2-rooms combined is $1,000 and the range of the rental fees for 2-rooms is $200, what is the range of the rental fees for 1-room?

1) The smallest rental fee for 2-rooms is $2,800.

2) The smallest rental fee for 2-room is $200 more expensive than the greatest rental fee for 1-room.


Let's call \(S_1\) and \(G_1\) are respectively the smallest and the greatest rental fee for 1-room.
Let's call \(S_2\) and \(G_2\) are respectively the smallest and the greatest rental fee for 2-room.

We have \(G_2-S_1=1000\) and \(G_2-S_2=200\). We need to find \(G_1-S_1\)

(1) We have \(S_2=2800 \implies G_2=3000\). Hence \(S_1=2000\). However, we can't know what value of \(G_1\). Insufficient.

(2) We have \(S_2-G_1=200\).

\(G_1-S_1=(G_1-S_2) + (S_2-G_2)+(G_2-S_1)=(-200)+(-200)+(1000)=600\).

The range of the rental fees for 1-room is 600. Sufficient.

The answer is B
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Re: A certain apartment has only 1-room and 2-rooms. If the range of the t   [#permalink] 02 May 2017, 20:31
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