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The table above shows the numbers of hours of television programs that

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gmatt1476
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The table above shows the numbers of hours of television programs that [#permalink] New post   20 Apr 2020, 10:48
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The table above shows the numbers of hours of television programs that Jane recorded last week and the numbers of hours she spent viewing these recorded programs. No recorded program was viewed more than once. If h is the number of hours of recorded programs she had not yet viewed by the end of Friday, which of the following intervals represents all of the possible values of h?

A. \(0 \leq h \leq 1\)

B. \(1 \leq h \leq 2\)

C. \(2 \leq h \leq 3\)

D. \(0 \leq h \leq 2\)

E. \(1 \leq h \leq 3\)


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Re: The table above shows the numbers of hours of television programs that [#permalink] New post   20 Apr 2020, 11:04
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gmatt1476 wrote:

The table above shows the numbers of hours of television programs that Jane recorded last week and the numbers of hours she spent viewing these recorded programs. No recorded program was viewed more than once. If h is the number of hours of recorded programs she had not yet viewed by the end of Friday, which of the following intervals represents all of the possible values of h?

A. \(0 \leq h \leq 1\)

B. \(1 \leq h \leq 2\)

C. \(2 \leq h \leq 3\)

D. \(0 \leq h \leq 2\)

E. \(1 \leq h \leq 3\)


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2020-04-20_2147.png



Total hours recorded = 4 + 2 = 6 hours

Minimum hours watched = 1 (Wednesday) + 2 (Friday) = 3 hours
=> Hours left to be watched = 6 - 3 = 3 hours (maximum hours left)

Maximum hours watched = 2 (Wednesday) + 3 (Friday) = 5 hours
=> Hours left to be watched = 6 - 5 = 1 hours (minimum hours left)

Thus, the number of hours left to watch lies between 1 hour and 3 hours (inclusive)

Answer E
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Re: The table above shows the numbers of hours of television programs that [#permalink] New post   20 Apr 2020, 11:09
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the numbers of hours of television programs that Jane recorded last week = 4+0+2+0= 6hrs

Minimum numbers of hours she spent viewing these recorded programs = 0+1+0+2 = 3hrs

Maximum numbers of hours she spent viewing these recorded programs = 0+2+0+3= 5hrs

(6-5) ≤ h ≤ (6-3)

1 ≤ h ≤ 3





gmatt1476 wrote:

The table above shows the numbers of hours of television programs that Jane recorded last week and the numbers of hours she spent viewing these recorded programs. No recorded program was viewed more than once. If h is the number of hours of recorded programs she had not yet viewed by the end of Friday, which of the following intervals represents all of the possible values of h?

A. \(0 \leq h \leq 1\)

B. \(1 \leq h \leq 2\)

C. \(2 \leq h \leq 3\)

D. \(0 \leq h \leq 2\)

E. \(1 \leq h \leq 3\)


PS66740.02

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2020-04-20_2147.png
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Re: The table above shows the numbers of hours of television programs that [#permalink] New post   21 Apr 2020, 09:36
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max viewing hours ; 2 to 3 hours ; 5 hours
and min viewing hours ; 1 to 2 hours ; 1 hour
total recording time ; 6 hours
hence net viewing hours
(6-5)<=h<=(6-3)
\(1 \leq h \leq 3\)
OPTION E

gmatt1476 wrote:

The table above shows the numbers of hours of television programs that Jane recorded last week and the numbers of hours she spent viewing these recorded programs. No recorded program was viewed more than once. If h is the number of hours of recorded programs she had not yet viewed by the end of Friday, which of the following intervals represents all of the possible values of h?

A. \(0 \leq h \leq 1\)

B. \(1 \leq h \leq 2\)

C. \(2 \leq h \leq 3\)

D. \(0 \leq h \leq 2\)

E. \(1 \leq h \leq 3\)


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Re: The table above shows the numbers of hours of television programs that [#permalink] New post   07 May 2020, 06:00
gmatt1476 wrote:

The table above shows the numbers of hours of television programs that Jane recorded last week and the numbers of hours she spent viewing these recorded programs. No recorded program was viewed more than once. If h is the number of hours of recorded programs she had not yet viewed by the end of Friday, which of the following intervals represents all of the possible values of h?

A. \(0 \leq h \leq 1\)

B. \(1 \leq h \leq 2\)

C. \(2 \leq h \leq 3\)

D. \(0 \leq h \leq 2\)

E. \(1 \leq h \leq 3\)


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Viewing time left h.jpg [ 101.15 KiB | Viewed 13988 times ]
lc

Tuesday: Min = 4; Max = 4
Wednesday: Min = 4 - 2 = 2; Max = 4 - 1 =3
Thursday: Min = 2 + 2 = 4; Max = 3 + 2 = 5
Friday: Min = 4 - 3 = 1; Max = 5 - 2 = 3

Hence \(1 \leq h \leq 3\)

Answer E.
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Re: The table above shows the numbers of hours of television programs that [#permalink] New post   08 Jun 2020, 13:58
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gmatt1476 wrote:

The table above shows the numbers of hours of television programs that Jane recorded last week and the numbers of hours she spent viewing these recorded programs. No recorded program was viewed more than once. If h is the number of hours of recorded programs she had not yet viewed by the end of Friday, which of the following intervals represents all of the possible values of h?

A. \(0 \leq h \leq 1\)

B. \(1 \leq h \leq 2\)

C. \(2 \leq h \leq 3\)

D. \(0 \leq h \leq 2\)

E. \(1 \leq h \leq 3\)


PS66740.02



Solution:

The total recording time is 4 + 2 = 6 hours. The total viewing time is between 1 + 2 = 3 hours and 2 + 3 = 5 hours. Therefore, the number of hours of recorded programs Jane had not yet viewed by the end of Friday is between 6 - 5 = 1 hour and 6 - 3 = 3 hours. That is, 1 ≤ h ≤ 3.

Answer: E
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The table above shows the numbers of hours of television programs that [#permalink] New post   07 Nov 2020, 00:35
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gmatt1476 wrote:

The table above shows the numbers of hours of television programs that Jane recorded last week and the numbers of hours she spent viewing these recorded programs. No recorded program was viewed more than once. If h is the number of hours of recorded programs she had not yet viewed by the end of Friday, which of the following intervals represents all of the possible values of h?

A. \(0 \leq h \leq 1\)

B. \(1 \leq h \leq 2\)

C. \(2 \leq h \leq 3\)

D. \(0 \leq h \leq 2\)

E. \(1 \leq h \leq 3\)


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2020-04-20_2147.png


Wednesday Balance: \(2≤h≤3\) [Deducting maximum viewing 2 and minimum 1 from recording 4]

Thursday Balance : \(4≤h≤5\) [Adding new recording of 2 hours with wednesday]

Friday Balance :\(1≤h≤3\) [Deducting maximum viewing time 3 and minimum viewing time from Thrusday]

The answer is \(E.\)
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Re: The table above shows the numbers of hours of television programs that [#permalink] New post   11 Feb 2021, 03:33
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SOLUTION:

A NEW OG 2021 QUESTION

According to the table,

Total RECORDING TIME = 4+2 (Tue+ Thur) = 6 hrs

The time of viewing is 1+2=3 hrs and a 3+2=5 hrs and

hence the time NOT invested in viewing is

6-3 = 3hrs (Maximum)&

6-5 = 1 hour (Minimum)

Hence 1<=h<=3 is the range (OPTION E)

Hope this helps :thumbsup:
Devmitra Sen(Math)
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Re: The table above shows the numbers of hours of television programs that [#permalink] New post   12 May 2021, 01:04
Expert Reply
gmatt1476 wrote:

The table above shows the numbers of hours of television programs that Jane recorded last week and the numbers of hours she spent viewing these recorded programs. No recorded program was viewed more than once. If h is the number of hours of recorded programs she had not yet viewed by the end of Friday, which of the following intervals represents all of the possible values of h?

A. \(0 \leq h \leq 1\)

B. \(1 \leq h \leq 2\)

C. \(2 \leq h \leq 3\)

D. \(0 \leq h \leq 2\)

E. \(1 \leq h \leq 3\)


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2020-04-20_2147.png


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Re: The table above shows the numbers of hours of television programs that [#permalink] New post   13 Dec 2023, 11:06
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