Test Match

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harsh.champ: Legendary Member; Posts: 1132; Joined: Mon Jul 20, 2009 3:38 amFollowed by: 6 members; Location: India; Thanked: 64 times; GMAT Score:760

by harsh.champ » Fri Feb 19, 2010 5:39 am

The average temperature of the first 3 days of a test match was 25degrees. The average temperature of the 2nd,3rd and 4th day was 24degrees. If the temperature on the 4th day was 27degrees, what was the temperature on the 1st day?

A. 21 degrees
B. 24 degrees
C. 27 degrees
D. 30 degrees
E. 31 degrees

The OA is D.

Last edited by harsh.champ on Fri Feb 19, 2010 7:37 am, edited 1 time in total.

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Source: Beat The GMAT — Problem Solving | Fri Feb 19, 2010 5:39 am

shashank.ism: Legendary Member; Posts: 1022; Joined: Mon Jul 20, 2009 11:49 pmFollowed by: 2 members; Location: Gandhinagar; Thanked: 41 times

by shashank.ism » Fri Feb 19, 2010 7:30 am

harsh.champ wrote:The average temperature of the first 3 days of a test match was 25degrees. The average temperature of the 2nd,3rd and 4th day was 24degrees. If the temperature on the 4th day was 270, what was the temperature on the 1st day?

A. 21 degrees
B. 24 degrees
C. 27 degrees
D. 30 degrees
E. 31 degrees

The OA is D.

I think there is some problem in question harsh how can temp of 4th day be 270 degrees when avg of 2nd,3rd and 4th day was 24degrees..
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shashank.ism: Legendary Member; Posts: 1022; Joined: Mon Jul 20, 2009 11:49 pmFollowed by: 2 members; Location: Gandhinagar; Thanked: 41 times

by shashank.ism » Fri Feb 19, 2010 7:43 am

ok so if av temp is 27 instead of 270 ,
let the days be denoted by alphabets A,B,C,D,E
A+B+C = 75
B+C+D =72
D=27
-->B+C =72-27 =45
--> A= 75 - (A+B) = 75- 45 = 30 Ans D

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kstv: Legendary Member; Posts: 610; Joined: Fri Jan 15, 2010 12:33 amFollowed by: 2 members; Thanked: 47 times

by kstv » Fri Feb 19, 2010 8:50 am

IMO D

Temp of 4th day was 27 i.e. 3 degree more than the avg.
So the combined temp of 2nd & 3rd day was (24+ 24 -3) = 45.
The temp of the 1st day (25 X 3 - 45)

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shashank.ism: Legendary Member; Posts: 1022; Joined: Mon Jul 20, 2009 11:49 pmFollowed by: 2 members; Location: Gandhinagar; Thanked: 41 times

by shashank.ism » Fri Feb 19, 2010 10:22 am

kstv wrote:IMO D

Temp of 4th day was 27 i.e. 3 degree more than the avg.
So the combined temp of 2nd & 3rd day was (24+ 24 -3) = 45.
The temp of the 1st day (25 X 3 - 45)

kstv u have solved the problem with a slightly different approach. but I really liked your solution, it will save my time....

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harshavardhanc: Legendary Member; Posts: 526; Joined: Sat Feb 21, 2009 11:47 pm; Location: India; Thanked: 68 times; GMAT Score:680

by harshavardhanc » Fri Feb 19, 2010 10:49 am

harsh.champ wrote:The average temperature of the first 3 days of a test match was 25degrees. The average temperature of the 2nd,3rd and 4th day was 24degrees. If the temperature on the 4th day was 27degrees, what was the temperature on the 1st day?

A. 21 degrees
B. 24 degrees
C. 27 degrees
D. 30 degrees
E. 31 degrees

The OA is D.

replacing day1 by day4 decreases avg by 1.
i.e in effect decreases 3 degrees from the total.

OR

replacing day4 by day1 increases the avg by 1.
i.e in effect increases 3 degrees in the total.

Hence, (day2 and day3 constant), day1 has to be day4 + 3 degrees.

27+3 = 30

Regards,
Harsha

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