Samira is comparing 10 compact car models. She has two preferences

Question

Samira is comparing 10 compact car models. She has two preferences about their fuel efficiency:

The city mileage should be at least 28 miles per gallon (mpg). 
 The highway mileage should be at most 38 mpg.

Car 
 City mpg 
 Highway mpg 
 
  A 
 26 
 37 
 
  B 
 29 
 40 
 
  C 
 32 
 36 
 
  D 
 27 
 39 
 
  E 
 30 
 35 
 
  F 
 31 
 41 
 
  G 
 28 
 34 
 
  H 
 33 
 37 
 
  I 
 25 
 36 
 
  J 
 30 
 38

For each of the following statements, select  Yes  if it accurately reflects the information provided. Otherwise, select  No .

Bunuel · Accepted Answer

• Among cars that satisfy Preference 2, the lowest city mpg belongs to a car that fails Preference 1.

The cars that satisfy Preference 2 (highway mpg ≤ 38) are A, C, E, G, H, I, and J. The lowest city mpg among these is 25, which is car I, and that value is below 28, so it fails Preference 1 (city mpg ≥ 28).

Answer:  Yes

• Among cars that satisfy Preference 1, the maximum highway mpg is achieved by a car that fails Preference 2.

The cars that satisfy Preference 1 (city mpg ≥ 28) are B, C, E, F, G, H, and J. The maximum highway mpg among these is 41, which is car F, and that value is above 38, so it fails Preference 2 (highway mpg ≤ 38).

Answer:  Yes

• Among cars that satisfy exactly one of the two preferences, exactly one car has highway mpg equal to 37.

First identify the sets. Preference 1 includes B, C, E, F, G, H, and J. Preference 2 includes A, C, E, G, H, I, and J. Exactly one preference means cars that are in one set but not the other. This gives the group A, B, F, and I. Their highway mpg values are 37 for A, 40 for B, 41 for F, and 36 for I. Only A has a highway mpg of 37. Car H also has a highway mpg of 37 but it is excluded because it satisfies both preferences.

Answer:  Yes

I29-122

crimson_king · Answer

Yes,Yes, Yes

KalleAbhi · Answer

Yes, Yes, Yes

Aryaa25 · Answer

1) Yes--> Lowest City MPG of cars satisfying condition 2 is 25mpg (We need atleast 28)
2) Yes-->Highest City MPG satisfying cond 1 has max value of 41 ( we need atmost 38mpg)
3) Yes --->There is exactly one car that satisfies this condition

AbhishekP220108 · Answer

Statement 1

Yes Lowest City MPG of cars is 25mpg & atleast 28 needed for satisfying 1 among cars which satisfies 2

Statement 2

Yes Highest City MPG has max value among cars satisfying 1 i.e 41 whereas atmost is 38mpg

Statement 3

Yes There is exactly one car that satisfies mentioned condition

noushy · Answer

Yes,Yes,Yes

Dereno · Answer

First step let’s take the cars which satisfy Preference 1: ( city mpg >= 28) , the list of cars are : G (28) , B(29), E(30) , J(30), F(31), C(32) and H(33). Preference 2: ( Highway mpg <= 38), the list of cars are J (38), H(37), A(37), C (36), I (36) , E(35) and G (34). QUESTION 1: Among cars that satisfy Preference 2, the lowest city mpg belongs to a car that fails Preference 1. Let’s find the city mpg values for cars which satisfy preference 2, J :city mpg = 30 H :city mpg = 33 A :city mpg = 26 C :city mpg = 32 I :city mpg = 25 E :city mpg = 30 G :city mpg = 28. Vehicle I has the lowest city mpg and this value doesn’t qualify preference 1 ( city mpg >= 28). Hence, YES . QUESTION 2: Among cars that satisfy Preference 1, the maximum highway mpg is achieved by a car that fails Preference 2. The cars which satisfy Preference 1 are : G, B, E, J, F, C, and H. The highway mpg values are : G : Highway mpg = 34 B : Highway mpg = 40 E : Highway mpg = 35 J : Highway mpg = 38 F : Highway mpg = 41 C : Highway mpg = 36 H : Highway mpg = 37 F has the maximum mpg of 41. This, doesn’t match the criteria of Highway mpg <= 38. Hence, YES QUESTION 3: Among cars that satisfy exactly one of the two preferences, exactly one car has highway mpg equal to 37. Preference 1: G, B, E, J, F, C and H. Preference 2: A and I. The only car which has a Highway mpg =37 is car A. Hence, YES .

mayankkamal999 · Answer

1.
 Among the cars that satisfy Preference 2: G, E, I, C, A, H 
 the car that with lowest city mpg is I with 25 mpg which fails Preference 1 
 Hence  YES

2. 
 Among the cars that satisfy Preference 1: G, B, J, E, F, C, H 
 the car that has max highway mpg is F with 41mpg which fails Preference 2 
 Hence  YES

3. 
 Cars that satisfy exactly one of the two preferences: D, A, I, B, F 
 Only A has highway mpg equal to 37

Or you could also see there are only 2 values with 37 highway mpg and one of them doesn't satisfy one preference 
 Hence  YES

Samira is comparing 10 compact car models. She has two preferences

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Yes	No
		Among cars that satisfy Preference 2, the lowest city mpg belongs to a car that fails Preference 1.
		Among cars that satisfy Preference 1, the maximum highway mpg is achieved by a car that fails Preference 2.
		Among cars that satisfy exactly one of the two preferences, exactly one car has highway mpg equal to 37.

GMAT Graphs and Tables (G&T) Questions

Samira is comparing 10 compact car models. She has two preferences

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards