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Difficulty:
25%
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Question Stats:
80% (01:16) correct
20%
(01:23)
wrong
based on 82
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Each of the 600 cars in a certain parking lot is either a hatchback or a sedan. How many of the hatchbacks are electric?
(1) 75% of all cars in the parking lot are electric.
(2) The number of electric sedans is 25% more than the number of electric hatchbacks.
(1) 75% of all cars in the parking lot are electric.
(2) The number of electric sedans is 25% more than the number of electric hatchbacks.
27 Jan 2026, 00:36
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ExpertsGlobal5
The total number of vehicles in the parking lot is 600.
The vehicles are either sedan or hatchback.
We need to find the number of hatch back electric. ?
Let’s create a 2*2 matrix
| Electric | ~ Electric | Total | |
| Sedan | |||
| Hatchback | ? | ||
| Total | 600 |
Statement 1:
75% of all cars in the parking lot are electric.
(3/4)*600 = 450 cars are electric.
So. 150 cars are not electric.
| Electric | ~ Electric | Total | |
| Sedan | |||
| Hatchback | ? | ||
| Total | 450 | 150 | 600 |
We cannot find the number of Hatchback Electric.
Hence, Insufficient.
Statement 2:
The number of electric sedans is 25% more than the number of electric hatchbacks.
| Electric | ~ Electric | Total | |
| Sedan | 5x | ||
| Hatchback | ? 4x | ||
| Total | 9x | 600 |
Electric sedan = (5/4)* Electric Hatchback
Electric sedan: Electric hatchback = 5x : 4x
We cannot find the number of Hatchback Electric.
Hence, Insufficient.
Combining both statements , we get
| Electric | ~ Electric | Total | |
| Sedan | 5x | ||
| Hatchback | ? 4x | ||
| Total | 450 = 9x | 600 |
450 = 9x.
Thus, x =50
Hatchback Electric = 4x = 4*50 = 200.
Hence, Sufficient
Option C
27 Jan 2026, 00:47
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Each of the 600 cars in a certain parking lot is either a hatchback or a sedan. How many of the hatchbacks are electric?
(1) 75% of all cars in the parking lot are electric.
(2) The number of electric sedans is 25% more than the number of electric hatchbacks.
Let the number of Electric hatchbacks be EH, number of Electric sedans be ES, Non-Electric hatchbacks be NEH and Non-Electric sedans be NES.
EH + ES + NEH + NES = 600
Now, let's look at each statement individually and then at both of them together (if required):
Statement 1: 75% of all cars in the parking lot are electric.
=> 75% of 600 = 450
=> EH + ES = 450
However, this doesn't tell us anything about the value of EH. Thus, this statement is insufficient alone.
Now, let's take a look at Statement 2 closely:
Statement 2: The number of electric sedans is 25% more than the number of electric hatchbacks.
=> ES = 5/4 * EH
However, we still cannot calculate the value of EH using this statement alone. Thus, Statement 2 is insufficient alone too.
Now, let's look at the combination of both the statements:
=> EH + ES = 450
=> ES = 5/4 * EH
=> EH + 5/4 * EH = 450
Thus, 9/4 * EH = 450
=> EH = 200
Hence, the correct answer is Option C - BOTH statements together are sufficient, but NEITHER statement alone is sufficient.
Hope this helps!
(1) 75% of all cars in the parking lot are electric.
(2) The number of electric sedans is 25% more than the number of electric hatchbacks.
Let the number of Electric hatchbacks be EH, number of Electric sedans be ES, Non-Electric hatchbacks be NEH and Non-Electric sedans be NES.
EH + ES + NEH + NES = 600
Now, let's look at each statement individually and then at both of them together (if required):
Statement 1: 75% of all cars in the parking lot are electric.
=> 75% of 600 = 450
=> EH + ES = 450
However, this doesn't tell us anything about the value of EH. Thus, this statement is insufficient alone.
Now, let's take a look at Statement 2 closely:
Statement 2: The number of electric sedans is 25% more than the number of electric hatchbacks.
=> ES = 5/4 * EH
However, we still cannot calculate the value of EH using this statement alone. Thus, Statement 2 is insufficient alone too.
Now, let's look at the combination of both the statements:
=> EH + ES = 450
=> ES = 5/4 * EH
=> EH + 5/4 * EH = 450
Thus, 9/4 * EH = 450
=> EH = 200
Hence, the correct answer is Option C - BOTH statements together are sufficient, but NEITHER statement alone is sufficient.
Hope this helps!
