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19 Jan 2026, 22:00
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B
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Difficulty:
25%
(medium)
Question Stats:
82% (01:04) correct
18%
(01:13)
wrong
based on 57
sessions
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What was the median of the number of parcels that a certain mailman delivered each day, for the last 7 days?
(1) The total number of parcels the mailman delivered over the last 7 days is 189.
(2) The mailman delivered 25 parcels on each of the last 5 days.
(1) The total number of parcels the mailman delivered over the last 7 days is 189.
(2) The mailman delivered 25 parcels on each of the last 5 days.
20 Jan 2026, 10:22
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ExpertsGlobal5
We need to find the median number of parcels, for the last 7 days.
Statement 1:
The total number of parcels the mailman delivered over the last 7 days is 189.
x1+x2+x3+x4+x5+x6+x7 = 189.
The variables can assume any value to bring the sum to 189.
Hence, Insufficient.
Statement 2:
The mailman delivered 25 parcels on each of the last 5 days.
Mailman delivered 25 parcels on the last 5 days.
x1+x2+25+25+25+25+25
Irrespective of the value of x1 and x2, they can assume the following values.
case 1: x1=x2 = 25, so, the median is 25.
case 2: x1 , x2 <25, then also median is 25.
case 3: x1,x2 > 25, then also median is 25.
case 4: x1 or x2 greater than 25, and the other value less than 25. Even in this case, median =25.
Hence, Sufficient
Option B
25 Jan 2026, 05:15
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ExpertsGlobal5
Explanation:
Let A be the set of the number of parcels delivered each day, for the last 7 days.
We need to find whether the median of set A can be determined.
Statement (1)
Possibility 1: If A = {25, 25, 25, 25, 25, 25, 39}, then it satisfies the given conditions and the median of set A is 25.
Possibility 2: If A = {26, 26, 26, 26, 26, 26, 33}, then it satisfies the given conditions and the median of set A is 26.
It is NOT possible to determine with certainty the number of parcels delivered each day, for the last 7 days. Hence, Statement (1) is insufficient.
Statement (2)
This statement specifies that set A has 5 elements as 25, which implies that the set A is of the form {x, y, 25, 25, 25, 25, 25}.
Since the median of this set is the 4th value when arranged in ascending order, regardless of the values chosen for the first 2 elements of the set, the median will always be 25. Hence, Statement (2) is sufficient.
B is the correct answer choice.
