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E
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:
69% (01:25) correct
31%
(01:08)
wrong
based on 65
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Last week, Cosmo repaired multiple motorbikes and cars. How many hours did Cosmo spend repairing motorbikes last week?
(1) Last week, Cosmo spent a total of 40 hours repairing both cars and motorbikes.
(2) Last week, the average (arithmetic mean) number of hours that Cosmo spent repairing each motorbike was 20 percent greater than the average number of hours he spent repairing each car.
(1) Last week, Cosmo spent a total of 40 hours repairing both cars and motorbikes.
(2) Last week, the average (arithmetic mean) number of hours that Cosmo spent repairing each motorbike was 20 percent greater than the average number of hours he spent repairing each car.
27 Jan 2026, 00:48
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ExpertsGlobal5
Last week, cosmo repaired some motor bikes and car.
We need to find the number of hours cosmo spent last week on repairing the motor bikes?
Statement 1:
Last week, Cosmo spent a total of 40 hours repairing both cars and motorbikes.
Total hours taken by Cosmo to repair the motor bikes and cars is 40 hours.
We don’t know the individual split up of hours or their ratios.
Hence, Insufficient
Statement 2:
(2) Last week, the average (arithmetic mean) number of hours that Cosmo spent repairing each motorbike was 20 percent greater than the average number of hours he spent repairing each car.
Average hours MB = (6/5)* Average hours of car.
Average MB : Average Car. = 6:5 = 6x : 5x
Average hours for MB = Total hours for MB / Number of MB
Average Hours of Car. = Total hours for car / Number of cars
Let the hours taken by cars and motor cycle be Hc and Hmb respectively. Moreover the number of cars and motorbikes cleaned be c and mb respectively.
(Hmb /mb) * (c/Hc) = (6x/5x)
Without knowing the variables. Insufficient
Combining both statements,
We know Hmb + Hc =40. But, the values of number of cars and motorbikes are unknown.
Hence, Insufficient
Option E
27 Jan 2026, 01:01
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Last week, Cosmo repaired multiple motorbikes and cars. How many hours did Cosmo spend repairing motorbikes last week?
(1) Last week, Cosmo spent a total of 40 hours repairing both cars and motorbikes.
(2) Last week, the average (arithmetic mean) number of hours that Cosmo spent repairing each motorbike was 20 percent greater than the average number of hours he spent repairing each car.
Let M be the total number of hours spent in repairing motorbikes, and C be the total number of hours spent in repairing cars. We need to find out the value of M in this problem.
Now, let's look at each statement individually and then at both of them together (if required):
Statement 1: Last week, Cosmo spent a total of 40 hours repairing both cars and motorbikes.
=> M+C = 40
However, as you can see, multiple values are possible for M. Hence, we cannot uniquely determine the value of M using this statement only. Hence, Statement 1 is insufficient alone.
Now, let's take a look at Statement 2 closely:
Statement 2: Last week, the average (arithmetic mean) number of hours that Cosmo spent repairing each motorbike was 20 percent greater than the average number of hours he spent repairing each car.
=> As this statement tells us about the average number of hours spent in repairing, let the number of motorbikes be x and the number of cars be y.
=> M/x = 1.2 * C/y
As there can be multiple possible values of M, C, x and y, we cannot uniquely determine the value of M using this statement alone too. Hence, Statement 2 is insufficient alone.
Now, let's look at the combination of Statement 1 and Statement 2:
=> M+C = 40
=> M/x = 1.2 * C/y
As there can be multiple possible values of M using the above 2 equations, we would not be able to arrive at a unique value for M.
Hence, the correct answer is Option E - Statements (1) and (2) TOGETHER are NOT sufficient.
Hope this helps!
(1) Last week, Cosmo spent a total of 40 hours repairing both cars and motorbikes.
(2) Last week, the average (arithmetic mean) number of hours that Cosmo spent repairing each motorbike was 20 percent greater than the average number of hours he spent repairing each car.
Let M be the total number of hours spent in repairing motorbikes, and C be the total number of hours spent in repairing cars. We need to find out the value of M in this problem.
Now, let's look at each statement individually and then at both of them together (if required):
Statement 1: Last week, Cosmo spent a total of 40 hours repairing both cars and motorbikes.
=> M+C = 40
However, as you can see, multiple values are possible for M. Hence, we cannot uniquely determine the value of M using this statement only. Hence, Statement 1 is insufficient alone.
Now, let's take a look at Statement 2 closely:
Statement 2: Last week, the average (arithmetic mean) number of hours that Cosmo spent repairing each motorbike was 20 percent greater than the average number of hours he spent repairing each car.
=> As this statement tells us about the average number of hours spent in repairing, let the number of motorbikes be x and the number of cars be y.
=> M/x = 1.2 * C/y
As there can be multiple possible values of M, C, x and y, we cannot uniquely determine the value of M using this statement alone too. Hence, Statement 2 is insufficient alone.
Now, let's look at the combination of Statement 1 and Statement 2:
=> M+C = 40
=> M/x = 1.2 * C/y
As there can be multiple possible values of M using the above 2 equations, we would not be able to arrive at a unique value for M.
Hence, the correct answer is Option E - Statements (1) and (2) TOGETHER are NOT sufficient.
Hope this helps!
