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04 Mar 2022, 08:00
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Arithmetic mean of car prices is greater than the median car price.: Yes
Exactly 40% of cars meet the Olympic committee criterion.: No
Except 1 car, all cars with 2.5 liter capacity or more have a consumer rating of at least 4.: No
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
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38%
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wrong
based on 933
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GMAT Club's Integrated Reasoning Challenge 2022
10 Days | 30 Questions | Win Prizes | Get Better at GMAT
Question # 11 | Date: 04 March 2022
Click here for more details and master thread
10 Days | 30 Questions | Win Prizes | Get Better at GMAT
Question # 11 | Date: 04 March 2022
Click here for more details and master thread
An Olympic committee wishes to buy bulk cars for its important guests. The table below lists 20 car brands with a select few specifications-- Price, Engine(bhp), Fuel Economy(mpg), engine capacity(Ltr.), & Consumer Rating(Out of 5). Committee's criterion for selecting a car is as follows - the car should have at least 182 bhp Engine & more than 19 mpg fuel economy.
| Car Brand | Price ($) | Engine (bhp) | Fuel Econom (mpg) | Engine Capacity (ltr) | Consumer Rating (out of 5) |
|---|---|---|---|---|---|
| BMW M6 | 31000 | 185 | 17 | 3.5 | 4.8 |
| Chevrolet Camaro | 31500 | 267 | 21 | 3.7 | 4.1 |
| Chevrolet Equinox | 26000 | 182 | 19 | 2.4 | 4.4 |
| Chevrolet Traiblazer | 28000 | 267 | 18 | 4.2 | 3.8 |
| Ford Escape | 23000 | 171 | 20 | 2.5 | 4.5 |
| Ford Flex | 131000 | 355 | 20 | 3.5 | 4.7 |
| Ford Fusion | 23000 | 263 | 21 | 3.5 | 4.5 |
| Ford Mustang | 24500 | 178 | 21 | 2.6 | 3.9 |
| Honda Accord | 24000 | 190 | 21 | 2.4 | 4.5 |
| Honda Civic | 22000 | 93 | 40 | 1.3 | 3 |
| Honda CR-V | 25000 | 179 | 16 | 2.5 | 4.4 |
| Honda Insight | 19000 | 88 | 51 | 1.3 | 4.5 |
| Honda S2000 | 145000 | 345 | 17 | 4.2 | 4.9 |
| ILX Hybrid | 27000 | 93 | 20 | 1.5 | 4.3 |
| Nissan Altime | 25000 | 270 | 21 | 3.5 | 4.7 |
| Pontac GTO | 98000 | 275 | 22 | 3.7 | 4.1 |
| Porche Panamera | 136000 | 276 | 22 | 3.9 | 4.7 |
| Toyota Camery | 18000 | 97 | 25 | 2.1 | 3.9 |
| Toyota Camery | 23000 | 169 | 21 | 2.5 | 4.2 |
| Toyota Prius | 24000 | 98 | 39 | 1.8 | 4 |
For each of the following statements, select ‘Yes’if statement is true based solely on the information provided in the table; otherwise select ‘No’.
Attachment:
1.jpg [ 155.06 KiB | Viewed 5849 times ]
| Yes | No | |
| Arithmetic mean of car prices is greater than the median car price. | ||
| Exactly 40% of cars meet the Olympic committee criterion. | ||
| Except 1 car, all cars with 2.5 liter capacity or more have a consumer rating of at least 4. |
ShowHide Answer
Official Answer
Arithmetic mean of car prices is greater than the median car price.: Yes
Exactly 40% of cars meet the Olympic committee criterion.: No
Except 1 car, all cars with 2.5 liter capacity or more have a consumer rating of at least 4.: No
05 Mar 2022, 00:27
Kudos
Bookmarks
First statement: Arithmetic mean of car prices is greater than the median car price.
My answer is: YES
To get median car price, we have to sort the car price (in thousands) as follows
18 19 22 23 23 23 24 24 24.5 25
25 26 27 28 31 31.5 98 131 136 145
Median price is thus 25.
Because of the last 4 huge numbers, we can tell that arithmetic mean is much higher than 25.
Second statement: Exactly 40% of cars meet the Olympic committee criterion.
My answer is NO.
The criterion is: the car should have at least 182 bhp Engine & more than 19 mpg fuel economy.
40% of 20 is 8.
But I only count 7 such cars.
The key is "more than 19 mpg". This criterion excludes Chevrolet Equinox.
Third statement: Except 1 car, all cars with 2.5 liter capacity or more have a consumer rating of at least 4.
My answer is NO.
Since so many cars have rating of at least 4, it is beneficial to only check those four cars below 4.
Two of the four cars have 2.5 liter capacity or more.
My answer is: YES
To get median car price, we have to sort the car price (in thousands) as follows
18 19 22 23 23 23 24 24 24.5 25
25 26 27 28 31 31.5 98 131 136 145
Median price is thus 25.
Because of the last 4 huge numbers, we can tell that arithmetic mean is much higher than 25.
Second statement: Exactly 40% of cars meet the Olympic committee criterion.
My answer is NO.
The criterion is: the car should have at least 182 bhp Engine & more than 19 mpg fuel economy.
40% of 20 is 8.
But I only count 7 such cars.
The key is "more than 19 mpg". This criterion excludes Chevrolet Equinox.
Third statement: Except 1 car, all cars with 2.5 liter capacity or more have a consumer rating of at least 4.
My answer is NO.
Since so many cars have rating of at least 4, it is beneficial to only check those four cars below 4.
Two of the four cars have 2.5 liter capacity or more.
05 Mar 2022, 00:59
Kudos
Bookmarks
1.
The arithmetic mean of car prices = 45200 (sum of all prices / # of cars)
Median car price = 25000 (Arrange the price from smallest to largest and the middle value is the median. Here we have an even number of cars (20), so the median will be \(\frac{(10th Price + 11th Price)}{2}.\)
Here 10th and 11th prices, when arranged from smallest to largest, are 25000 (Honda CR-V & Nissan Altime). So, the value will be 25000.)
The arithmetic mean is greater than the median car price.
45200>25000
Answer Yes
2.
We have 20 cars. 40% of 20 = \(\frac{40}{100}\) * 20 = .4 * 20 = 8
From the table, we have 7 cars that meet the Olympic committee criterion.
fusion, accord, altime, camaro, gto, flex, panamera
(Committee's criterion for selecting a car is as follows - the car should have at least 182 bhp Engine & more than 19 mpg fuel economy)
Answer No
3.
Mustang and TrailBlazer have ratings less than 4. (3.9 & 3.8 respectively)
13 cars are there with a 2.5-litre capacity or more.
So there are 2 cars, not 1.
Answer No
The arithmetic mean of car prices = 45200 (sum of all prices / # of cars)
Median car price = 25000 (Arrange the price from smallest to largest and the middle value is the median. Here we have an even number of cars (20), so the median will be \(\frac{(10th Price + 11th Price)}{2}.\)
Here 10th and 11th prices, when arranged from smallest to largest, are 25000 (Honda CR-V & Nissan Altime). So, the value will be 25000.)
The arithmetic mean is greater than the median car price.
45200>25000
Answer Yes
2.
We have 20 cars. 40% of 20 = \(\frac{40}{100}\) * 20 = .4 * 20 = 8
From the table, we have 7 cars that meet the Olympic committee criterion.
fusion, accord, altime, camaro, gto, flex, panamera
(Committee's criterion for selecting a car is as follows - the car should have at least 182 bhp Engine & more than 19 mpg fuel economy)
Answer No
3.
Mustang and TrailBlazer have ratings less than 4. (3.9 & 3.8 respectively)
13 cars are there with a 2.5-litre capacity or more.
So there are 2 cars, not 1.
Answer No
