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14 Feb 2020, 02:40
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
71% (02:01) correct
29%
(01:37)
wrong
based on 227
sessions
History
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Time
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What was the maximum temperature in city A on Saturday, May 14?
(1) The maximum temperature on Saturday, May 14, was 5° greater than the maximum temperature in city A on Sunday, May 8.
(2) The average (arithmetic mean) of the maximum daily temperatures in city A from Sunday, May 8, to Saturday, May 14, was 72°, which was 2° less than the average (arithmetic mean) of the maximum daily temperatures in city A, from Monday, May 9, to Friday, May 13.
(1) The maximum temperature on Saturday, May 14, was 5° greater than the maximum temperature in city A on Sunday, May 8.
(2) The average (arithmetic mean) of the maximum daily temperatures in city A from Sunday, May 8, to Saturday, May 14, was 72°, which was 2° less than the average (arithmetic mean) of the maximum daily temperatures in city A, from Monday, May 9, to Friday, May 13.
14 Feb 2020, 23:51
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Bunuel
Solution
Step 1: Analyse Question Stem
• Let’s assume that maximum temperature in City A on Saturday, May 14 is T°
So, we need to find the value of T.
Step 2: Analyse Statements Independently (And eliminate options) – AD/BCE
Statement 1: The maximum temperature on Saturday, May 14, was 5° greater than the maximum temperature in city A on Sunday, May 8.
- • Let us assume that the maximum temperature in city A on Sunday, May 8 is t°
• \(T = t+5\)
Hence, statement 1 is not sufficient and we can eliminate answer options A and D
Statement 2: The average (arithmetic mean) of the maximum daily temperatures in city A from Sunday, May 8, to Saturday, May 14, was 72°, which was 2° less than the average (arithmetic mean) of the maximum daily temperatures in city A, from Monday, May 9, to Friday, May 13.
- • (t + (the sum of the maximum daily temperatures in city A, from Monday, May 9, to Friday, May 13) + T)\(/ 7 = 72 ……………. Eq. (1)\)
• (the sum of the maximum daily temperatures in city A, from Monday, May 9, to Friday, May 13.)\(/5 = 80 \)
- o (the sum of the maximum daily temperatures in city A, from Monday, May 9, to Friday, May 13.) \(= 5*80……………Eq. (2)\)
- o \( t + 5*80 + T = 7*72\)
o Or, \(t + T = 7*72 – 5*80\)
Step 3: Analyse Statements by combining.
- • From statement 1: \(T = t + 5\)
• From statement 2: \( t + T = 8 (63- 50)\)
- o Or, \(t + T = 8*13 \)
Thus, the correct answer is Option C
12 Jan 2021, 19:42
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Pretty tricky. The answer is C. This is how I thought about it. Let me know if you think my solution is OK!
What was the maximum temperature in city A on Saturday, May 14?
(1) The maximum temperature on Saturday, May 14, was 5° greater than the maximum temperature in city A on Sunday, May 8.
Clearly insufficient.
(2) The average (arithmetic mean) of the maximum daily temperatures in city A from Sunday, May 8, to Saturday, May 14, was 72°, which was 2° less than the average (arithmetic mean) of the maximum daily temperatures in city A, from Monday, May 9, to Friday, May 13.
Equation time.
Let X be the average temperature during that 7 day stretch.
Let Y be te average temperature during that 5 day stretch.
X = 72 = [Sunday + Mon + Tues + Wednes + Thurs + Friday + Saturday] / 7
Y = 72 + 2 = 74
Insufficient because we still end up with Sunday + Saturday which have unknown temperatures.
Combined
X = 72 = [Sunday + Y + Saturday] / 3 = [Sunday + 74 + (Sunday + 5)] / 3
Solve for Sunday then Saturday.
Sufficient.
What was the maximum temperature in city A on Saturday, May 14?
(1) The maximum temperature on Saturday, May 14, was 5° greater than the maximum temperature in city A on Sunday, May 8.
Clearly insufficient.
(2) The average (arithmetic mean) of the maximum daily temperatures in city A from Sunday, May 8, to Saturday, May 14, was 72°, which was 2° less than the average (arithmetic mean) of the maximum daily temperatures in city A, from Monday, May 9, to Friday, May 13.
Equation time.
Let X be the average temperature during that 7 day stretch.
Let Y be te average temperature during that 5 day stretch.
X = 72 = [Sunday + Mon + Tues + Wednes + Thurs + Friday + Saturday] / 7
Y = 72 + 2 = 74
Insufficient because we still end up with Sunday + Saturday which have unknown temperatures.
Combined
X = 72 = [Sunday + Y + Saturday] / 3 = [Sunday + 74 + (Sunday + 5)] / 3
Solve for Sunday then Saturday.
Sufficient.
