Test: Quantitative Aptitude- 2 - GMAT MCQ

The best answer is B.

Out of 56 vehicles, 32 are colored red, therefore 24 are in different color.

17 of the red vehicles are buses, therefore (18 – 17 = 1) are in different color.

(24 – 1 = 23) private cars are in the parking lot with a different color than red.

The best answer is D.

8 boxes are for sale, 5 of them are with toys, and therefore 3 of them are with electrical appliances.
Out of 23 boxes, 16 are with toys, therefore, and therefore 7 of them are with electrical appliances.
(7 – 3 = 4) is the number of electrical appliances boxes, which are not for sale.

The best answer is B.

There are (420 – 312 = 108) girls in Parkway.
86% of 250 are boys, therefore 14% of 250 are girls that play soccer, which is 35 girls.
The number of girls that do not play soccer is (108 – 35 = 73).

​The best answer is A.
There are 300 people that are not somnambulists. There are (600 – 400 = 200) people that are employed in the  town, half of the somnambulists are employed (150), therefore (200 – 150 = 50) is the number of people that are employed which are also not somnambulists.

The best answer is C.
The number of people that work is 75.The number of people that doesn’t have families is (150 – 50 =100).

100 of the people like to sing in the shower.
The largest possible number of people that belong to all three groups is the smallest among them, Meaning 75.

(2/3 x 18 = 12) teams are bad and 9 are rich.
The number of teams which are rich and that are bad must be between 9 and  (9+12-18 = 3).
The only answer, which is not in that range, is C.

The best answer is A.
(1/3 x 108 = 36) failed the math test.
(1/6 x 108 = 18) failed that literature test.
The least amount of people that failed both tests is (18 + 36 –108 = -54), there cant be an negative Overlapping between the groups so the least amount of people who failed both tests is zero.

The best answer is C.
If 1/X is 2.5 or 5/2 then X = 2/5.
1/(2/5 – 2/3) is 1/(6/15 – 10/15) = -15/4 = -3.75.

Travis pays 2.5% of 3500, which is $87.5 every 3 months (quarterly).
(525/87.5 = 6), therefore Travis has been paying for (6 x 3 = 18) months now, that is 2.5 years.

Dana takes 5500 each year and returns (0.03 x 5500 = 165) each month, which is (165 x 12 = 1980) each passing year. That means that each year Dana owes her parents (5500 – 1980 = 3520) pounds.
After 4 years in college she will owe them (4 x 3520 = 14,080) pounds.

The best answer is B.

Every three months Rusty gives the bank $40,000.
After the first quarter the bank took (0.0025 x 1040000 = 2600) and Rusty paid $40,000 so the new Debt is now (1,040,000 - 40,000 + 2,600 = 1,002,600).
After the second quarter the bank took (0.0025 x 1002600 =  2506.5) and Rusty paid again $40,000 so the new Debt is now (1,002,600 – 40,000 + 2506.5 < 1 million dollars).

The best answer is B.
Simba gives (0.045 x 12,000 = 540) to his brothers every 2 weeks, in a month he gives (540 x 2 = 1080). (12,000/1,080 is a little over 11), therefore after 12 months he won’t owe any more money.

The best answer is D.
The roots of the equation are 8.5 and (-2).
The multiplication of the roots is equal to (-17).

The best answer is A.
The equation can be written as: X(X² – 16X +48) = X(X – 12)(X – 4).
The roots of the equation are: 0,4 and 12. The sum of the roots is 16.

The best answer is D.
The original equation is X² + 3X – 54, it can be written as (X – 6)(X + 9). The roots are 6 and (-9).
We are looking for an equation that has one of the same roots.
Answer D: X² – 15X +54 = (X – 6)(X – 9) à This equation has the root 6.
All the other answers have different roots than the original equation

The best answer is B.
The original equation is X³ +10X² + 16X, it can be written as X(X + 8)(X + 2). The roots are (-8),0 and (-2).

We are looking for an equation that has one of the same roots.

Answer B: X + 8 à This equation has the root (-8).

All the other answers have different roots than the original equation.

The best answer is E.

The original equation is a³ +8a² – 20a, it can be written as a(a – 2)(X + 10). The roots are 2,0 and (-10).
We are looking for an equation that has none of the same roots.
Answer E: X² – 10X +16 = (X + 2)(X + 8) à This equation has none of the original roots. All the other answers have one or more of the same original roots.

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First, let’s define our two variables:

M = Marla’s age today

A = Angelina’s age today

Next, we can write two equations from the information presented in the problem stem.

Since Marla is 20 years older than Angelina, we have:

M = A + 20 (equation 1)

Since in 5 years, Marla will be 3 times as old as Angelina, we have:

M + 5 = 3(A + 5)

M + 5 = 3A + 15

M = 3A + 10 (equation 2)

Next, from equation 1, we can substitute A + 20 for M in equation 2, and then solve for A:

A + 20 = 3A + 10

10 = 2A

5 = A

Finally, we see that Angelina is 5 years old. Thus, Marla is currently 5 + 20 = 25 years old. So, in 3 years, Marla will be 28 years old.

Since we have an average rate question we can use the following formula:

average rate = total distance / total time

Since the distance is the same in both directions, we can use a smart number to represent the one-way distance. A good number to use would be one that is divisible by both 5 and 12, so we can let the distance each way = 60.

So, the time going to work is 60/5 = 12, and the time going home from work is 60/12 = 5.

Finally we can determine the average rate:

average rate = total distance / total time

average rate = (60 + 60)/(12 + 5)

average rate = 120/17

The best answer is B.

There is no need to draw the lines. There are two equations with two variable that you have to solve.
Take the second equation and multiply it by (-3) to get: -9y –3x = -30 add this equation to the first and You’ll get: -11y = -22 à y=2 and x=4. (x/y) is 2