GMAT Focus Edition Mock test - 2 - GMAT MCQ

# GMAT Focus Edition Mock test - 2 - GMAT MCQ

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## 64 Questions MCQ Test GMAT Focus Edition Mock Test Series 2024 - GMAT Focus Edition Mock test - 2

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GMAT Focus Edition Mock test - 2 - Question 1

### What is the maximum percentage discount that a merchant can offer on her marked price so that she ends up selling at no profit or loss, if she had initially marked her goods up by 50%?

Detailed Solution for GMAT Focus Edition Mock test - 2 - Question 1

Step 1: Assume cost price and compute marked price

Approach: Assume cost price to be \$100.

She had initially marked her goods up by 50%.
Therefore, a 50% mark up would have resulted in her marked price being \$100 + 50% of \$100 = \$100 + \$50 = \$150.

Step 2: Compute the % discount offered

She finally sells the product at no profit or loss.
i.e., she sells the product at cost price, which in this case is \$100.
Therefore, she offers a discount of \$50 on her marked price of \$150.

Hence, the % discount offered by her =
Discount offered is 33.33%

Choice E is the correct answer.

GMAT Focus Edition Mock test - 2 - Question 2

### In a class of 40 students, 12 enrolled for both English and German. 22 enrolled for German. If the students of the class enrolled for at least one of the two subjects, then how many students enrolled for only English and not German?

Detailed Solution for GMAT Focus Edition Mock test - 2 - Question 2

Objective: Compute number of students who enrolled for only English

Let A be the set of students who have enrolled for English and B be the set of students who have enrolled for German.

Then, (A ∪ B) is the set of students who have enrolled for at least one of the two languages.
Because the students of the class have enrolled for at least one of the two languages, we will not find anyone outside A ∪ B in this class.
Therefore, n(A ∪ B) = number of students in the class
So, n(A ∪ B) = 40

n(A ∪ B) = n(A) + n(B) - n(A ∩ B)

i.e., 40 = n(A) + 22 - 12
Or n(A) = 30
n(A) is the number of students who have enrolled for English.
This number is the sum of those who have enrolled for only English and those who have enrolled for both the languages.

What we have to compute the number of students who have enrolled for only English.
n(only English)= n(English) - n(A ∩ B)
= 30 - 12 = 18.

Choice C is the correct answer.

GMAT Focus Edition Mock test - 2 - Question 3

### If p > 0, and x2 - 11x + p = 0 has integer roots, how many integer values can 'p' take?

Detailed Solution for GMAT Focus Edition Mock test - 2 - Question 3

Step 1: Compute sum and product of roots of this quadratic equation

The given quadratic equation is x2 - 11x + p = 0.
The sum of the roots of this quadratic equation =
The product of the roots of this quadratic equation =

Step 2: Deduce properties about roots of this quadratic equation

Inference 1: The question states that p > 0.
'p' is the product of the roots of this quadratic equation. So, the product of the two roots is positive.
The product of two numbers is positive if either both the numbers are positive or both the numbers are negative.

Inference 2: We also know that the sum of the roots = 11, which is positive.
The sum of two negative numbers cannot be positive.
So, both the roots have to be positive.

Step 3: List values possible for roots

We also know that the roots are integers.
So, we have to find different ways of expressing 11 as a sum of two positive integers.
Possibility 1: (1, 10)
Possibility 2: (2, 9)
Possibility 3: (3, 8)
Possibility 4: (4, 7)
Possibility 5: (5, 6)

Each of these pairs, will result in a different value for p.
So, p can take 5 different values.

The correct choice is (C) and the correct answer is 5.

GMAT Focus Edition Mock test - 2 - Question 4

If the average of 5 positive integers is 40 and the difference between the largest and the smallest of these 5 numbers is 10, what is the maximum value possible for the largest of these 5 integers?

Detailed Solution for GMAT Focus Edition Mock test - 2 - Question 4

The average of 5 positive integers is 40. i.e., the sum of these integers = 5 × 40 = 200

Let the least of these 5 numbers be x.
Because the range of the set is 10, the largest of these 5 numbers will be x + 10.

If we have to maximize the largest of these numbers, we have to minimize all the other numbers.
That is 4 of these numbers are all at the least value possible = x.

So, x + x + x + x + x + 10 = 200
Or x = 38.
So, the maximum value possible for the largest of these 5 integers is 48.

Choice D is the correct answer.

GMAT Focus Edition Mock test - 2 - Question 5

There are 6 boxes numbered 1, 2,....6. Each box is to be filled up either with a red or a green ball in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered. The total number of ways in which this can be done is ___

Detailed Solution for GMAT Focus Edition Mock test - 2 - Question 5

List down possibilities: From only one box containing a green ball to all six boxes containing green balls.

If only one of the boxes has a green ball, it can be any of the 6 boxes. So, we have 6 possibilities.
If two of the boxes have green balls and then there are 5 consecutive sets of 2 boxes. 12, 23, 34, 45, 56.
If 3 of the boxes have green balls, there are 4 possibilities: 123, 234, 345, 456.
If 4 boxes have green balls, there are 3 possibilities: 1234, 2345, 3456.
If 5 boxes have green balls, there are 2 possibilities: 12345, 23456.
If all 6 boxes have green balls, there is just 1 possibility.

Total number of possibilities = 6 + 5 + 4 + 3 + 2 + 1 = 21.

Choice B is the correct answer.

GMAT Focus Edition Mock test - 2 - Question 6

How many different positive integers exist between 106 and 107, the sum of whose digits is equal to 2?

Detailed Solution for GMAT Focus Edition Mock test - 2 - Question 6

Method 1: Find the number of such integers existing for a lower power of 10 and extrapolate the results.

Between 10 and 100, that is 101 and 102, we have 2 numbers, 11 and 20.

Between 100 and 1000, that is 102 and 103, we have 3 numbers, 101, 110 and 200.

Therefore, between 106 and 107, one will have 7 integers whose sum will be equal to 2.

Alternative approach

All numbers between 106 and 107 will be 7 digit numbers.
There are two possibilities if the sum of the digits has to be '2'.

Possibility 1: Two of the 7 digits are 1s and the remaining 5 are 0s.
The left most digit has to be one of the 1s. That leaves us with 6 places where the second 1 can appear.
So, a total of six 7-digit numbers comprising two 1s exist, sum of whose digits is '2'.

Possibility 2: One digit is 2 and the remaining are 0s.
The only possibility is 2000000.

Total count is the sum of the counts from these two possibilities = 6 + 1 = 7

Choice B is the correct answer.

GMAT Focus Edition Mock test - 2 - Question 7

The average of 5 consecutive integers starting with m as the first integer is n. What is the average of 9 consecutive integers that start with (m + 2)?

Detailed Solution for GMAT Focus Edition Mock test - 2 - Question 7

Approach: Work with a numerical example

The fastest way to solve problems of this kind is to take numerical examples.

Let the 5 consecutive integers be 1, 2, 3, 4, and 5.
The average of 5 consecutive integers from 1 to 5 is 3.
Therefore, the value of m is 1 and the value of n is 3.

Because m = 1, m + 2 = 3
9 consecutive integers starting from m + 2 will be 3, 4, ... , 11
The average of positive integers from 3 to 11 is 7.
We know n = 3. So, 7 has to be (n + 4).

Choice E is the correct answer.

GMAT Focus Edition Mock test - 2 - Question 8

Working together, Jose and Jane can complete an assigned task in 20 days. However, if Jose worked alone and completed half the work and then Jane takes over and completes the second half, the task will be completed in 45 days. How long will Jose take to complete the task if he worked alone? Assume that Jane is more efficient than Jose.

Detailed Solution for GMAT Focus Edition Mock test - 2 - Question 8

Step 1: Assign Variables and Frame Equations

Let Jose take 'x' days to complete the task if he worked alone.
Let Jane take 'y' days to complete the task if she worked alone.

Statement 1 of the question: They will complete the task in 20 days if they worked together.

In 1 day, Jose will complete 1/x of the task.
In 1 day, Jane will complete 1/y of the task.
Together, in 1 day they will complete 1/20 of the task.
Therefore,

Statement 2 of the question: If Jose worked alone and completed half the work and then Jane takes over and completes the second half, the task will be completed in 45 days.

Jose will complete half the task in x/2 days.
Jane will complete half the task in y/2 days.

Or, x + y = 90 or x = 90 - y .... (2)

Step 2: Solve the Two Equations and Compute x and y

Substitute the value of x as (90 - y) in the first equation.

Cross multiply and simplify: 1800 = 90y - y2
Or y2 - 90 + 1800 = 0.

The quadratic equation factorizes as (y - 60)(y - 30) = 0
So, y = 60 or y = 30.
If y = 60, then x = 90 - y = 90 - 60 = 30 and
If y = 30, then x = 90 - y = 90 - 30 = 60.

The question states that Jane is more efficient than Jose. Therefore, Jane will take lesser time than Jose.

Hence, Jose will take 60 days to complete the task if he worked alone and Jane will take 30 days to complete the same task.

Choice C is the correct answer.

GMAT Focus Edition Mock test - 2 - Question 9

By selling an article at 80% of its marked price, a merchant makes a loss of 12%. What % profit will the merchant make if the article is sold at 95% of its marked price?

Detailed Solution for GMAT Focus Edition Mock test - 2 - Question 9

Approach: Assume cost price to be \$100
Let the marked price be S and the cost price of the article be \$100.

When the article is sold at 80% of its marked price, selling price is 0.8S.
Selling the article at 0.8S results in a loss of 12% of the cost price.
Therefore, the loss incurred when selling at 0.8S = 12% of 100 = \$12.
Hence, when selling at 80% of the marked price, the article is sold at 100 − 12 = \$88.
i.e., 0.8S = \$88.
or S = 88/0.8 = \$110.
If the merchant sells at 95% of the marked price, then the new selling price of the article is 95% of \$110 = \$104.5

The profit made = 95% of Selling Price − Cost Price = 104.5 − 100 = \$4.5.
% Profit = profit/cost price = 4.5/100 = 4.5%
The merchant made 4.5% profit

Choice E is the correct answer.

GMAT Focus Edition Mock test - 2 - Question 10

If x > 0, how many integer values of (x, y) will satisfy the equation 5x + 4|y| = 55?

Detailed Solution for GMAT Focus Edition Mock test - 2 - Question 10

5x + 4|y| = 55
The equation can be rewritten as 4|y| = 55 - 5x.
Inference 1: Because |y| is non-negative, 4|y| will be non-negative.
Therefore, (55 - 5x) cannot take negative values.

Inference 2: Because x and y are integers, 4|y| will be a multiple of 4.
Therefore, (55 - 5x) will also be a multiple of 4.

Inference 3: 55 is a multiple of 5. 5x is a multiple of 5 for integer x.
So, 55 - 5x will always be a multiple of 5 for any integer value of x.

Combining Inference 2 and Inference 3: 55 - 5x will be a multiple of 4 and 5.
i.e., 55 - 5x will be a multiple of 20.

Integer values of x > 0 that will satisfy the condition that (55 - 5x) is a multiple of 20:

1. x = 3, 55 - 5x = 55 - 15 = 40.
2. x = 7, 55 - 5x = 55 - 35 = 20
3. x = 11, 55 - 5x = 55 - 55 = 0.
When x = 15, (55 - 5x) = (55 - 75) = -20.
Because (55 - 5x) has to non-negative, x = 15 or values greater than 15 are not possible.
So, x can take only 3 values viz., 3, 7, and 11.

Possible values of y when x = 3, x = 7, and x = 11

We have 3 possible values for 55 - 5x. So, we will have these 3 values possible for 4|y|.
Possibility 1: 4|y| = 40 or |y| = 10. So, y = 10 or -10.
Possibility 2: 4|y| = 20 or |y| = 5. So, y = 5 or -5.
Possibility 3: 4|y| = 0 or |y| = 0. So, y = 0.
Number of values possible for y = 5.

The correct choice is (C) and the correct answer is 5.

GMAT Focus Edition Mock test - 2 - Question 11

If both 112 and 33 are factors of the number a * 43 * 62 * 1311, then what is the smallest possible value of 'a'?

Detailed Solution for GMAT Focus Edition Mock test - 2 - Question 11

Step 1: Prime factorize the given expression

a * 43 * 62 * 1311 can be expressed in terms of its prime factors as a * 28 * 32 * 1311

Step 2: Find factors missing after excluding 'a' to make the number divisible by both 112 and 33

112 is a factor of the given number.
If we do not include 'a', 11 is not a prime factor of the given number.
If 112 is a factor of the number, 112 should be a part of 'a'

33 is a factor of the given number.
If we do not include 'a', the number has only 32 in it.
Therefore, if 33 has to be a factor of the given number 'a' has to contain 31 in it.

Therefore, 'a' should be at least 112 * 3 = 363 if the given number has 112 and 33 as its factors.

The question is "what is the smallest possible value of 'a'?"
The smallest value that 'a' can take is 363

Choice C is the correct answer.

GMAT Focus Edition Mock test - 2 - Question 12

Steve traveled the first 2 hours of his journey at 40 mph and the remaining 3 hours of his journey at 80 mph. What is his average speed for the entire journey?

Detailed Solution for GMAT Focus Edition Mock test - 2 - Question 12

Step 1: Compute Total Distance Travelled

Average speed of travel =
Total distance traveled by Steve = Distance covered in the first 2 hours + distance covered in the next 3 hours.
Distance covered in the first 2 hours = speed × time = 40 × 2 = 80 miles.
Distance covered in the next 3 hours = speed × time = 80 × 3 = 240 miles.
Therefore, total distance covered = 80 + 240 = 320 miles.

Step 2: Compute Average Speed

Total time taken = 2 + 3 = 5 hours.
Total distance travelled = 320 miles.

Choice D is the correct answer.

GMAT Focus Edition Mock test - 2 - Question 13

Sam buys 10 apples for \$1. At what price should he sell a dozen apples if he wishes to make a profit of 25%?

Detailed Solution for GMAT Focus Edition Mock test - 2 - Question 13

The cost price of 1 apple =
Because Sam wishes to make a profit of 25%, selling price per apple should be 0.10 + 25% of 0.10
= 0.1 + 0.025 = \$0.125.
If the selling price of 1 apple is \$0.125, the selling price of a dozen apples = 12 × 0.125 = \$1.5

Selling price of a dozen apples is \$1.5

Choice D is the correct answer.

GMAT Focus Edition Mock test - 2 - Question 14

x2 + bx + 72 = 0 has two distinct integer roots; how many values are possible for 'b'?

Detailed Solution for GMAT Focus Edition Mock test - 2 - Question 14

In quadratic equations of the form ax2 + bx + c = 0,  represents the sum of the roots of the quadratic equation and c/a represents the product of the roots of the quadratic equation.

In the equation given a = 1, b = b and c = 72
So, the product of roots of the quadratic equation = 7/21 = 72.
And the sum of roots of this quadratic equation = −b/1 = -b.

We have been asked to find the number of values that 'b' can take.
If we list all possible combinations for the roots of the quadratic equation, we can find out the number of values the sum of the roots of the quadratic equation can take.
Consequently, we will be able to find the number of values that 'b' can take.

The question states that the roots are integers.
If the roots are r1 and r2, then r1 * r2 = 72, where both r1 and r2 are integers.
Possible combinations of integers whose product equal 72 are: (1, 72), (2, 36), (3, 24), (4, 18), (6, 12) and (8, 9) where both r1 and r2 are positive. 6 combinations.

For each of these combinations, both r1 and r2 could be negative and their product will still be 72.
i.e., r1 and r2 can take the following values too: (-1, -72), (-2, -36), (-3, -24), (-4, -18), (-6, -12) and (-8, -9). 6 combinations.

Therefore, 12 combinations are possible where the product of r1 and r2 is 72.
Hence, 'b' will take 12 possible values.

Alternative method

If a positive integer 'n' has 'x' integral factors, then it can be expressed as a product of two number is x/2 ways.

So, as a first step let us find the number of factors for 72.
Step 1: Express 72 as a product of its prime factors. 23 * 32
Step 2: Number of factors = (3 + 1)*(2 + 1) = 12 (Increment the powers of each of the prime factors by 1 and multiply the result)
i.e., 72 has a 12 positive integral factors.
Hence, it can be expressed as a product of two positive integers in 6 ways.

For each such combination, we can have a combination in which both the factors are negative.

Therefore, 6 more combinations are possibile, taking it to a total of 12 combinations.

Choice B is the correct answer.

GMAT Focus Edition Mock test - 2 - Question 15

Jane covered a distance of 340 miles between city A and city taking a total of 5 hours. If part of the distance was covered at 60 miles per hour speed and the balance at 80 miles per hour speed, how many hours did she travel at 60 miles per hour?

Detailed Solution for GMAT Focus Edition Mock test - 2 - Question 15

Find Time Travelled at 60 mph

Let Jane travel 'x' hours at 60 miles per hour.
As the total time taken to cover 340 miles is 5 hours, Jane would have traveled (5 - x) hours at 80 miles per hour.

Distance covered at 60 miles per hour = Speed × time = 60 × x = 60x miles.
Distance covered at 80 miles per hour = Speed × time = 80 (5 - x) = 400 - 80x miles.

Total distance covered = Distance covered at 60 miles per hour + Distance covered at 80 miles per hour.
Therefore, total distance = 60x + 400 - 80x.
Total distance travelled = 340 miles.

Therefore, 340 = 60x + 400 - 80x
20x = 60 or x = 3 hours.

Choice B is the correct answer.

GMAT Focus Edition Mock test - 2 - Question 16

If the cost price of 20 articles is equal to the selling price of 25 articles, what is the % profit or loss made by the merchant?

Detailed Solution for GMAT Focus Edition Mock test - 2 - Question 16

Step 1: Assume a value for cost price

Let the cost price of 1 article be \$1.
Therefore, cost price of 20 articles = 20 × 1 = \$20
The selling price of 25 articles = cost price of 20 articles = \$20.

Step 2: Compute the profit made on sale of 25 articles

Let us find the cost price of 25 articles.
Cost price of 25 articles = 25 × 1 = \$25
Therefore, profit made on sale of 25 articles = Selling price of 25 articles − cost price of 25 articles
⇒ 20 − 25 = −\$5

Step 3: What is the % Profit or Loss?

Because the profit is in the negative, the merchant has made a loss of \$5.
Therefore, % loss =

The merchant made a loss of 20%

Choice C is the correct answer.

GMAT Focus Edition Mock test - 2 - Question 17

y = x2 + bx + 256 cuts the x axis at (h, 0) and (k, 0). If h and k are integers, what is the least value of b?

Detailed Solution for GMAT Focus Edition Mock test - 2 - Question 17

Step 1: Understand the equation and the points (h, 0) and (k, 0)

The given equation is a quadratic equation. A quadratic equation when plotted on a graph sheet (x - y plane) will result in a parabola.
The roots of the quadratic equation are computed by equating the quadratic expression to 0. i.e., the roots are the values that 'x' take when y = 0
So, the roots of the quadratic equation are the points where the parabola cuts the x-axis.
The question mentions that the curve described by the equation cuts the x-axis at (h, 0) and (k, 0). So, h and k are the roots of the quadratic equation.
For quadratic equations of the form ax2 + bx + c = 0, the sum of the roots =
The sum of the roots of this equation is
Note : Higher the value of 'b', i.e., higher the sum of the roots of this quadratic equation, lower the value of b.

For quadratic equations of the form ax2 + bx + c = 0, the product of roots = c/a.
Therefore, the product of the roots of this equation = 256/1 = 256.
i.e., h × k = 256 h and k are both integers.
So, h and k are both integral factors of 256.

Step 2: List possible values of h and k and find the least value of ‘b’

This is the step in which number properties concepts kick in. 256 can be expressed as product of two numbers in the following ways:
1 × 256
2 × 128
4 × 64
8 × 32
16 × 16

The sum of the roots is maximum when the roots are 1 and 256 and the maximum sum is 1 + 256 = 257.
∴ The least value possible for b is -257.

Choice D is the correct answer.

GMAT Focus Edition Mock test - 2 - Question 18

Mary and Mike enter into a partnership by investing \$700 and \$300 respectively. At the end of one year, they divided their profits such that a third of the profit is divided equally for the efforts they have put into the business and the remaining profit is divided in the ratio of the investments they made in the business. If Mary received \$800 more than Mike did, what was the profit made by their business in that year?

Detailed Solution for GMAT Focus Edition Mock test - 2 - Question 18

Step 1: Deduce profit for Effort and Investments

Total profit earned will be divided into two parts: 1/3 will be for efforts and 2/3 for investments made.
Mary and Mike get equal share for their efforts.
If x is the share that each of Mike and Mary get for efforts, 2x is the share of profit for total efforts.
1/3 of total profit goes toward effort.
Hence, the total profit earned will be 6x.

Step 2: Share of profit for investments made

4x is the profit to be distributed for investments made.
4x will be divided in the ratio of amount invested by Mary and Mike.
As Mary and Mike invested \$700 and \$300 respectively, share of profit on investments will be divided in the ratio 7 : 3
Hence, if Mary receives 7y, Mike will receive 3y.
Total profit on investments is 10y which is equal to 4x
10y = 4x ... (1)

Step 3: Compute total profit earned

Difference between amount shared between Mike and Mary is \$800.
7y − 3y = 800
y = \$200
Total profits on investment 10y = 2000
From equation 1, 10y = 4x
So, x = 2000/4 = \$500
Total profit earned 6x = \$3000

Choice E is the correct answer.

GMAT Focus Edition Mock test - 2 - Question 19

For what value of 'm' will the quadratic equation x2 - mx + 4 = 0 have real and equal roots?

Detailed Solution for GMAT Focus Edition Mock test - 2 - Question 19

Step 1: Nature of Roots of Quadratic Equations Theory

D is the Discriminant in a quadratic equation.
D = b2 - 4ac for quadratic equations of the form ax2 + bx + c = 0.
If D > 0, roots are Real and Unique (Distinct and real roots).
If D = 0, roots are Real and Equal.
If D < 0, roots are Imaginary. The roots of such quadratic equations are NOT real.
The quadratic equation given in this question has real and equal roots. Therefore, its discriminant D = 0.

Step 2: Compute discriminant for the equation in terms of ‘m’ and find the value of ‘m’.

In the given equation x2 - mx + 4 = 0, a = 1, b = -m and c = 4.
Therefore, the discriminant b2 - 4ac = m2 - 4(4)(1) = m2 - 16.
The roots of the given equation are real and equal.
Therefore, m2 - 16 = 0 or m2 = 16 or m = +4 or m = -4.

Choice (D) is the answer to this quadratic equations question.

GMAT Focus Edition Mock test - 2 - Question 20

The average weight of a group of 30 friends increases by 1 kg when the weight of their football coach was added. If average weight of the group after including the weight of the football coach is 31 kg, what is the weight of their football coach?

Detailed Solution for GMAT Focus Edition Mock test - 2 - Question 20

The group comprises 30 friends.
When the football coach is also included, the average weight of the group becomes 31 kg.
As the new average is 1 kg more than the old average, old average without including the football coach = 30 kg.

Standard Framework to Solve Averages Questions

961 - 900 = 61 kg

The total weight of the 30 friends without including the football coach = 30 * 30 = 900.
After including the football coach, the number of people in the group increases to 31 and the average weight of the group increases by 1 kg.

Therefore, the total weight of the group after including the weight of the football coach = 31 * 31 = 961 kg.
Therefore, the weight of the football coach = 961 - 900 = 61 kg.

Choice B is the correct answer.

GMAT Focus Edition Mock test - 2 - Question 21

If one of the roots of the quadratic equation x2 + mx + 24 = 0 is 1.5, then what is the value of m?

Detailed Solution for GMAT Focus Edition Mock test - 2 - Question 21

Approach to solve: If 1.5 is a root of the quadratic equation, substituting x = 1.5 in the equation will satisfy the equation.

The given quadratic equation is x2 + mx + 24 = 0
Substitute x = 1.5 in the above equation because 1.5 is a root of the equation.
(1.5)2 + 1.5m + 24 = 0
2.25 + 1.5m + 24 = 0
1.5m = -26.25 Or m = −26.251.5−26.251.5 = -17.5

Alternative Method

Step 1: Sum and Product of Roots of Quadratic Equations Theory

For quadratic equations of the form ax2 + bx + c = 0, whose roots are α and β,
Sum of the roots, α + β = , and product of the roots, αβ = c/a.
From the question stem, we know that one of the roots is 1.5. Let α be 1.5.

Step 2: Compute the second root of the equation

Product of the roots of the quadratic equation x2 + mx + 24 = 0 is c/a = (24/1) = 24.
i.e., α * β = 24 where α is 1.5.
1.5 * β = 24
β = (24/1.5)
β = 16

Step 3: Compute the value of ‘m’

In the given equation, m is the co-efficient of the x term.
We know that the sum of the roots of quadratic equations of the form ax2 + bx + c = 0 is −b/a = −m/1 = -m
Sum of the roots = 16 + 1.5 = 17.5
Sum of the roots = -m
If –m = 17.5, the value of m = -17.5

Choice D is the correct answer.

GMAT Focus Edition Mock test - 2 - Question 22

Five years ago, the town of Bayside, in the Katonic River Valley, had catastrophic flooding one spring, and consequently, most insurers now refuse to write flood insurance for houses in Bayside. The town of Dryadia, in the Phemptic River Valley, is much like Bayside in its proximity to a similar river at an almost identical point in the river valley. We can conclude that the only reason the same insurers do not write flood insurance for houses in Dryadia either is its similarity to Bayside in terms of where it is situated in the river valley.

Q. Which of the following, if true, would most seriously undermine the argument?

Detailed Solution for GMAT Focus Edition Mock test - 2 - Question 22

The credited answer is choice (D). If the town of Dryadia really does flood, then that’s the reason insurers won’t write flood insurance for it! Therefore, the “only reason” cannot be “its similarity to Bayside in terms of where it is situated in the river valley.” Choice (D), if true, obliterates the argument, so this is the best answer.

The argument say that “most insurers” don’t write flood insurance in either town, but if most don’t, this implies that some do. Therefore, choice (A) is actually expected from the argument and does not challenge it at all. Choice (A) is incorrect.

Choice (B) would not be surprising and could be perfectly consistent with the argument. We know Bayside had “catastrophic flooding“, but we don’t know for a fact that every single house was flooded—maybe or maybe not. If some houses were not flooded, it sounds as if the insurers don’t write flood insurance for any house in Bayside, so even those houses that never flooded could not buy flood insurance. Therefore, this would validate (B) without threatening the argument in any way. Choice (B) is incorrect.

Choice (C) is irrelevant. Even if no resident in absolutely any other town up and down the Katonic River Valley can buy flood insurance, that doesn’t necessarily shed light on why folks in a town in a completely different river valley can’t buy insurance. Choice (C) is incorrect.

Choice (E) is too general and vague. Yes, perhaps there are many ways a house can be flooded, and correspondingly, perhaps there are many reasons why an insurer would deny any particular house flood insurance. Even if this is true, it doesn’t shed any light on exactly why the folks in Dryadia have trouble getting flood insurance. Choice (E) is suggestive, but it doesn’t actually tell us anything. Choice (E) is incorrect.

GMAT Focus Edition Mock test - 2 - Question 23

Archeologists have discovered three sites showing conclusive evidence for the mastery of fire in Tanzania, from a period slightly after the time that Homo habilis was present in Africa. These sites clearly were founded by Homo erectus, the descendent species of Homo habilis that migrated north, out of Africa and into Asia. Homo erectus was known to have mastered fire, from ample evidence at sites in Asia. There is no reason to attribute mastery of fire to Homo ergaster, the descendent species of Homo habilis that remained in Africa.

Q. Which of the following is an assumption on which the argument depends?

Detailed Solution for GMAT Focus Edition Mock test - 2 - Question 23

Remains of prehistoric fire were found in Tanzania. The author says that Homo erectus made these fires, and that there’s no reason to assume Homo ergaster did. What is a necessary assumption?

The credited answer is choice (A)Homo erectus had to be as far south as Tanzania—if they were not, there would be no way they could have made those fires there, which would seem to indicate that Homo ergaster made them after all. Negating this statement devastates the argument, which is a confirmation that we have an assumption.

Whatever might have caused Homo erectus to master fire doesn’t clarify who made those fires in Tanzania: Homo erectus or Homo ergaster? Choice (B) is not correct.

Suppose Homo ergaster would have derived as much benefit from the master of fire as did the Homo erectus, or even more benefit. That fact, by itself, would imply nothing about which one of these species created those fires in Tanzania. Denying this doesn’t change the validity of the argument. Choice (C) is not correct.

Choice (D) is intriguing, because it may be true. Both Homo erectus and Homo ergaster evolved from Homo habilis, so it’s quite likely that the Homo habilis was the sole source of cultural knowledge for either of these species. BUT, we know that Homo erectus, presumably without the benefit of cultural knowledge about fire, was able to master fire. If Homo erectus did that, why couldn’t Homo ergaster? In other words, the limits of the cultural knowledge inherited does not necessarily set limits on what these human species could achieve. Therefore, we can draw no conclusion with respect to this argument. Choice (D) is not correct.

If Choice (E) were true, it would support the argument, but a supporting statement is not necessarily an assumption. We have to use the Negation Test. Suppose Homo ergaster was all over in Tanzania, before & during & after the time that those fires were created. Would that prove Homo ergaster started those fires? Not necessarily. It could still be true that both Homo ergaster and Homo erectus occupied that region, that only the latter had mastered fire, and therefore, that the later had to start those fires in Tanzania. Thus, we can deny choice and it doesn’t necessarily contradict the argument. Therefore, it is not an assumption. Choice (E) is not correct.

GMAT Focus Edition Mock test - 2 - Question 24

Over the past ten years, the population of Dismaston has grown five times as large as it was. During this time, the average income in the city has risen substantially, and a tremendous amount of capital has flowed into city. An independent audit found that, somewhat surprisingly, the number of violent felonies reported per year is now lower than it was ten years ago.

Q. Each of the following statements below, if true, would explain the somewhat surprising finding EXCEPT:

Detailed Solution for GMAT Focus Edition Mock test - 2 - Question 24

This is an EXCEPT question. Four of the answer will be perfectly valid explanations, and these will be incorrect. One of the answers will not be good explanation—either it will be irrelevant, or it may even suggest a rise instead of a decline; this oddball choice will be the correct answer.

The credited answer is (B). The new filing system, in essence, never misses the report of a violent crime. This at least implies that perhaps the previous filing system missed some violent crimes on occasion—for whatever reason, some violent crimes that took place slipped through the cracks and failed to be reported. Well, if we were not reporting everything before, and are reporting everything now, if anything this might suggest an increase in the number of reported violent crimes. It most certainly would not, by itself, explain a decrease. This is not in any way a good explanation, so this the correct answer.

We know, over the past decade, “the average income in the city has risen substantially” and “a tremendous amount of capital has flowed into city,” both of which indicate conditions of prosperity. Therefore, according to choice (A), white-collar crimes would increase, and street-crimes would decrease, with a concomitant drop in violent crimes. Choice (A) is a valid explanation, so it’s an incorrect answer.

If the state kept convicts in jail longer, that would mean fewer of them would be back out on the streets committing felonies, most of which are violent. Therefore, it would lead to a drop in the number of violent crimes. Choice (C) is a valid explanation, so it’s an incorrect answer.

Better police and better crime detection means more arrests and fewer violent crimes. Therefore, it would lead to a drop in the number of violent crimes. Choice (D) is a valid explanation, so it’s an incorrect answer.

Better lighting at night and security cameras have some effect in reducing crime. Choice (E) is a valid explanation, so it’s an incorrect answer.

GMAT Focus Edition Mock test - 2 - Question 25

When, on a particular shopping trip, a consumer purchases an item which he previously had no intention of purchasing, this sale is called an “impulse purchase.” The objects of impulse purchases are occasionally essential items (i.e. items that satisfy basic subsistence needs), but much more frequently are luxury or non-essential items. Researchers have determined that, at the end of a shopping trip, a consumer is much more excited if she has bought a luxury item on an impulse purchase, than if she had made no impulse purchases.

Q. If the information above is true, and if the researchers’ investigation was properly conducted, then which of the following must also be true?

Detailed Solution for GMAT Focus Edition Mock test - 2 - Question 25

The credited answer is choice (D). If the researcher was able to conclude anything about how an impulse purchase made someone feel, then the researcher first had to know that it was an impulse purchase, that is, that the purchase was not planned. If the researcher had no way to determine whether a purchase was planned or unplanned, then the researcher would have no way of determining which purchases were impulse purchases.

We know the consumer find the impulse purchase of a luxury item more exciting than the planned purchases. We don’t necessarily know how exciting the impulse purchase of an essential need is—maybe it’s less exciting than the impulse purchase of a luxury item, or maybe it’s just as exciting. We suspect from real life that this may be true, but we cannot determine this from information in the prompt, so it can’t be the answer to a “must be true question.” Thus, choice (A) is incorrect.

We only know about the excitement brought about by an impulse purchase of a luxury item, but we have no information about what happens if a purchase is planned but not made. Choice (B) inappropriate extends the pattern into situations the prompt doesn’t cover at all. Choice (B) is incorrect.

We know that the impulse purchase of a luxury item is exciting, but we don’t know whether this is sufficient inducement for a person seeking excitement to make this kind of purchase frequently. The expense, for example, might be a mitigating factor. We can conclude nothing for certain about this, so choice (C) is incorrect.

This is a tempting one—we certainly might suspect that the luxury items of higher price would be bought as impulse purchases less frequently. We might suspect this, but notice that the prompt says nothing about high price vs. low price items. This answer choice invites us to bring in irrelevant outside knowledge, so, like (A), it can’t be the answer to a “must be true question.” Choice (E) is incorrect.

GMAT Focus Edition Mock test - 2 - Question 26

Direction: Read the following Passage and Answer the following Question.
As an instrument of intellectual culture, the study of Physics is profitable to all; as bearing upon special functions, its value, though not so great, is still more tangible. Why, for example, should Members of Parliament be ignorant of the subjects concerning which they are called upon to legislate? In this land of practical physics, why should they be unable to form an independent opinion upon a physical question? Why should the member of a parliamentary committee be left at the mercy of interested disputants when a scientific question is discussed, until he deems the nap a blessing which rescues him from the bewilderments of the committee-room? The education which does not supply the want here referred to, fails in its duty to England.

With regard to our working people, in the ordinary sense of the term ‘working’, the study of Physics would, I imagine, be profitable, not only as a means of intellectual culture, but also as a moral influence to woo them from pursuits which now degrade them. A man's reformation oftener depends upon the indirect, than upon the direct action of the will. The will must be exerted in the choice of employment which shall break the force of temptation by erecting a barrier against it. The drunkard, for example, is in a perilous condition if he contents himself merely with saying, or swearing, that he will avoid strong drink. His thoughts, if not attracted by another force, will revert to the public-house, and to rescue him permanently from this, you must give him an equivalent. By investing the objects of hourly intercourse with an interest which prompts reflection, new enjoyments would be opened to the working man, and every one of these would be a point of force to protect him against temptation.

Q. What is the main purpose of the author in writing the passage?

Detailed Solution for GMAT Focus Edition Mock test - 2 - Question 26

The author makes it clear in the first line of the passage that the study of Physics is profitable to everyone and then provides examples of how the same would benefit our Members of Parliament as well as the common man. Hence (C) is the best answer
A: The author makes no such extreme advocacy in the passage
B: While the passage does discuss this, the primary purpose of the entire passage is broader than just doing this
D: The author makes no such proposal
E: Again a specific detail from the passage but the primary purpose of the entire passage is broader than just doing this

GMAT Focus Edition Mock test - 2 - Question 27

Direction: Read the following Passage and Answer the following Question.
As an instrument of intellectual culture, the study of Physics is profitable to all; as bearing upon special functions, its value, though not so great, is still more tangible. Why, for example, should Members of Parliament be ignorant of the subjects concerning which they are called upon to legislate? In this land of practical physics, why should they be unable to form an independent opinion upon a physical question? Why should the member of a parliamentary committee be left at the mercy of interested disputants when a scientific question is discussed, until he deems the nap a blessing which rescues him from the bewilderments of the committee-room? The education which does not supply the want here referred to, fails in its duty to England.

With regard to our working people, in the ordinary sense of the term ‘working’, the study of Physics would, I imagine, be profitable, not only as a means of intellectual culture, but also as a moral influence to woo them from pursuits which now degrade them. A man's reformation oftener depends upon the indirect, than upon the direct action of the will. The will must be exerted in the choice of employment which shall break the force of temptation by erecting a barrier against it. The drunkard, for example, is in a perilous condition if he contents himself merely with saying, or swearing, that he will avoid strong drink. His thoughts, if not attracted by another force, will revert to the public-house, and to rescue him permanently from this, you must give him an equivalent. By investing the objects of hourly intercourse with an interest which prompts reflection, new enjoyments would be opened to the working man, and every one of these would be a point of force to protect him against temptation.

Q. Which of the following does the author suggest in the passage about the Members of Parliament?

Detailed Solution for GMAT Focus Edition Mock test - 2 - Question 27

The opening para clearly states that Members of Parliament are at times called upon to legislate on matters that they are ignorant of. Thus it is not a prerequisite that they have to be knowledgeable about the matter on which they are legislating i.e. (D) should be the correct answer
A: Extreme. It's true that some of them are ignorant of physics but this cannot be generalised to the entire group
B: Opposite as explained above
C: No such preference is mentioned in the passage
E: While this may be true in the real world, there is nothing in the passage to suggest the same

GMAT Focus Edition Mock test - 2 - Question 28

Direction: Read the following Passage and Answer the following Question.
As an instrument of intellectual culture, the study of Physics is profitable to all; as bearing upon special functions, its value, though not so great, is still more tangible. Why, for example, should Members of Parliament be ignorant of the subjects concerning which they are called upon to legislate? In this land of practical physics, why should they be unable to form an independent opinion upon a physical question? Why should the member of a parliamentary committee be left at the mercy of interested disputants when a scientific question is discussed, until he deems the nap a blessing which rescues him from the bewilderments of the committee-room? The education which does not supply the want here referred to, fails in its duty to England.

With regard to our working people, in the ordinary sense of the term ‘working’, the study of Physics would, I imagine, be profitable, not only as a means of intellectual culture, but also as a moral influence to woo them from pursuits which now degrade them. A man's reformation oftener depends upon the indirect, than upon the direct action of the will. The will must be exerted in the choice of employment which shall break the force of temptation by erecting a barrier against it. The drunkard, for example, is in a perilous condition if he contents himself merely with saying, or swearing, that he will avoid strong drink. His thoughts, if not attracted by another force, will revert to the public-house, and to rescue him permanently from this, you must give him an equivalent. By investing the objects of hourly intercourse with an interest which prompts reflection, new enjoyments would be opened to the working man, and every one of these would be a point of force to protect him against temptation.

Q. Each of the following can be inferred from the information in the passage EXCEPT?

Detailed Solution for GMAT Focus Edition Mock test - 2 - Question 28

According to the last para, the knowledge of Physics can help keep temptation at bay by providing man another pursuit to channelize his energies on and NOT ‘by educating him about the negative aspects of temptation’. Hence (B) should be the correct answer
A: This is the main idea of the passage
C: This can be inferred from these lines in the 2nd para – ‘A man's reformation oftener depends upon the indirect, than upon the direct action of the will. The will must be exerted in the choice of employment which shall break the force of temptation by erecting a barrier against it’
D and E: This is the gist of the 2nd para

GMAT Focus Edition Mock test - 2 - Question 29

During medieval times, the administrative system was organized such that jobs were traditionally held within the same family. The eldest son of the village's blacksmith will take up his father's business and become the next blacksmith. The other sons would join the army or serve the king in some fashion while the daughters did what their mother did. Although the world has undergone innumerable changes, the dynastic system has not undergone any change whatsoever. Children who have fathers who played major league baseball are 800 times more likely than other kids to become major league players themselves.

Q. Which of the following best refutes the author's reasoning?

Detailed Solution for GMAT Focus Edition Mock test - 2 - Question 29

Step 1: Analyzing the Argument

The argument draws parallels between the mediaeval and modern times and concludes that the dynastic system of sons taking on their fathers' jobs has not changed over the years. To make the point, the author gives an example of blacksmiths in mediaeval times and baseball players today.

In order to question the credibility of the argument, the correct option must point out that the times are different and that there need not be a parallel between career systems today and in mediaeval times.

Step 2: Eliminating Options

• Option (A) gives one more example of dynastic systems today. If anything, (A) lending further credibility to the argument and is not refuting it. For the same reason, Option (D) can also be eliminated.

• Option (C) implies that having a father in the same profession increases the possibility of the son following the father's footsteps. The reasoning and implication in (C) is probably not as evident as in (A) and (D) but ultimately, (C) lends credibility to the argument, if anything.

• Option (E) is possibly a very attractive option. However, the argument does not state that genetic makeup was the reason that people chose a profession; rather it was the accepted practice of the day. Therefore, stating that genetic makeup does not influence the success of a career is irrelevant to the argument. Also, the argument does not discuss “success” in a career at all but just the choice of a career.

• Option (B) works because it implies that there was no choice given to those who lived in mediaeval times. The argument, when discussing the “likelihood” of someone becoming a baseball player implies that anyone today has the choice to become one, if they wanted to. Thus, a difference in the systems today and then has been pointed out and the option weakens the author's reasoning.

Choice B is the correct answer.

GMAT Focus Edition Mock test - 2 - Question 30

A survey conducted recently in the city indicated that most college welfare-aid applicants understate the number of luxury items - such as cars and TVs - that their family owned, in an effort to maximize the amount of aid they can claim from the city. Paradoxically, the same study also found that many applicants claimed that they had running water and a gas connection even when they did not.

Q. Which of the following best explains the apparent paradox?

Detailed Solution for GMAT Focus Edition Mock test - 2 - Question 30

Step 1: Analyzing the Argument

The argument presents a contradiction in the behavior of college welfare-aid applicants. While they understate the extent to which they have certain items, in order to maximize the loan, they also seem to overstate the extent to which they have some items.

To resolve the discrepancy, the correct answer option must explain their motivation to overstate certain things. Why they understate certain items is explained in the argument itself - to maximize the amount of loan. So, even though understating can possibly maximize their loan, why do many of these applicants overstate some items? That is the question that the correct option must answer.

Step 2: Process of Elimination

• Option (A) does not work for a couple of reasons. The option states that the city wants people to already have certain things. That is contrary to the very notion of welfare-aid. Moreover, if the city just wants people to already have certain things, why not just claim that they have a TV? The option does not specify what the city expects the people to already have.

• Option (B) explains why candidates for aid would understate the extent to which they have certain things. But why would they claim to have running water when they do not? If option (B) were true, would not their application be treated even more favourably if they do not have water. Essentially, the option repeats one part of what is already given in the argument and provides no justification for the other part.

• Option (D) has no impact on the argument. What does the percentage of people understating or overstating matter when attempting to explain WHY they do so?

• Option (E) like Option (D), has no impact on the argument. Whether the people were the same or different does not explain WHY they under or overstated what they had.

• Option (C) explains why they would overstate certain things such as running water - they were too embarrassed to confide that they did not have necessities. However, they understated other things to maximize aid.

Choice C is the correct answer.

GMAT Focus Edition Mock test - 2 - Question 31

Terrorist attacks invariably lead to tremendous losses in life, property, and morale of a country. The effects of a terrorist attack are not just immediate and can have long-lasting, trickle-down effects as well. The fear, for example, takes a long time to die down. However, some of these repercussions can be beneficial to the country. Take for instance, the recent terrorist attack on our capital city. In the weeks following the attack, the crime rate in the city came down significantly from what it was just before the attack. This must primarily be due to the increased presence of police resources that were moved to the area and is thus an indirect effect of the attack.

Q. Which of the following options gives one more option as to why the crime rate decreased because of the terrorist attacks?

Detailed Solution for GMAT Focus Edition Mock test - 2 - Question 31

Step 1: Analyzing the Argument

The argument claims that there can be some benefits to terrorist attacks, such as the decrease in crime rates. The author argues that the crime rate was influenced by the recent terrorist attack.

In order to further add credibility to the author’s argument, the correct option must establish that the terrorist attack had some tie to the crime rate in the city.

Step 2: Process of Elimination

• Option (A) repeats a fact that is mentioned in the argument – that there is an increase in policing. However, instead of saying that the increase in police forces is dissuading the criminals, the options states that they are getting caught red-handed. This option does not imply that the crime rate has come down – only that the criminals are being increasingly caught.

• Option (B) extends a remark made in the argument about people feeling fear. However, what does this discussion have to do with the crime rate? The option makes no mention of the impact that the fleeing had on the crime rate.

• Option (C) states that the crime rate has come down. However, this decrease in crime rate need not have anything to do with the terrorist attacks. The option does nothing to establish this link.

• There need not necessarily be a link between crime and poverty. Even if that were the case, Option (E) would weaken the argument and not strengthen it. If the government had been taking measures to bring down the crime rate, then the crime rate has not come down because of the terrorist attack.

• Option (D) implies that the terrorists had been contributing to the crime rate. This implies that, now that they have implemented their plan, they are no longer committing petty crimes to distract the police and that the crime rate has come down. Ultimately, the option strengthens the argument by establishing a link between the crime rate and the terrorist attacks.

Choice D is the correct answer.

GMAT Focus Edition Mock test - 2 - Question 32

It seems that medical care is constantly improving and is far better today than it was a few years ago. New medicines are being developed, and at a lower cost. Technological advancements are being made and new treatments are devised. However, hospital care has not improved as much as expected. Most hospitals do not have a large enough ER that can handle a sudden influx of patients and the number of people who die in a hospital due to reasons other than what they got admitted for is staggeringly high.

Q. All of the following underscore the author's argument EXCEPT

Detailed Solution for GMAT Focus Edition Mock test - 2 - Question 32

Let's evaluate the options against the author's argument:

1. This statement suggests that doctors spending too much time on paperwork, leading to less time for direct patient care, which would contribute to a lower quality of hospital care. This supports the author's argument.

2. The statement about recirculating air leading to the spread of diseases like anthrax in hospitals indicates a problem with hospital infrastructure that could lead to increased patient mortality for reasons other than their initial admission. This supports the author's argument.

3. This statement points to a deficiency in ambulance services in smaller cities, which could contribute to a higher loss of life. While this is related to emergency medical care, it does not directly relate to the quality of care within the hospitals themselves. This does not directly support the author's argument about hospital care but instead is about pre-hospital emergency care.

4. This option, which mentions a lack of accountability for doctors in private hospitals, implies an issue with hospital administration and oversight, which could lead to poorer patient outcomes. This supports the author's argument.

5. The statement that doctors' performance appraisals are based on revenue rather than effective treatment directly suggests that the quality of care might be compromised, which supports the author's argument.

Given these considerations, the option that does NOT underscore the author's argument about hospital care is:

1. In smaller cities, the ambulance service is on a voluntary basis and the response time for calls is much lower than the national average, leading to a higher loss of life.
GMAT Focus Edition Mock test - 2 - Question 33

Direction: Read the following Passage and Answer the following Question.
As urban landscapes continue to expand, the rise of vertical farming is becoming a crucial element in the quest for sustainable city living. Vertical farms, which grow crops in stacked layers within a controlled environment, offer a revolutionary approach to agriculture in urban settings. This innovative method of farming is not just about saving space; it's about reimagining how we produce food in the face of growing environmental challenges.

One of the key advantages of vertical farming is its minimal use of water and pesticides. Unlike traditional agriculture, which relies heavily on these resources, vertical farms use hydroponic systems that circulate water efficiently and eliminate the need for soil and large-scale pesticide use. This approach significantly reduces the environmental impact of farming.

Another significant benefit is the reduction in food miles. Vertical farms can be established within urban areas, drastically cutting down the distance food travels from farm to consumer. This not only ensures fresher produce but also reduces transportation emissions, contributing to lower carbon footprints.

However, vertical farming faces its own set of challenges. The initial setup and operational costs can be high, making it difficult for these farms to compete with traditional agriculture in terms of cost. Additionally, the energy requirements for maintaining controlled environments, such as lighting and temperature control, are substantial. Critics argue that unless renewable energy sources power these farms, they may not be as sustainable as they seem.

Despite these challenges, the potential of vertical farming in reshaping urban agriculture remains immense. As technology advances, the efficiency of these farms is expected to improve, making them a vital component in the development of sustainable cities.
Q. Which of the following best summarizes the central idea of the passage?

Detailed Solution for GMAT Focus Edition Mock test - 2 - Question 33

This is a GLOBAL question. The passage discusses both the benefits and challenges of vertical farming, particularly in the context of urban areas. The title that best encompasses this is "The Challenges and Potentials of Vertical Farming in Urban Areas" (Choice D). The other options are either too narrow or only address part of the passage's content.

GMAT Focus Edition Mock test - 2 - Question 34

Direction: Read the following Passage and Answer the following Question.
As urban landscapes continue to expand, the rise of vertical farming is becoming a crucial element in the quest for sustainable city living. Vertical farms, which grow crops in stacked layers within a controlled environment, offer a revolutionary approach to agriculture in urban settings. This innovative method of farming is not just about saving space; it's about reimagining how we produce food in the face of growing environmental challenges.

One of the key advantages of vertical farming is its minimal use of water and pesticides. Unlike traditional agriculture, which relies heavily on these resources, vertical farms use hydroponic systems that circulate water efficiently and eliminate the need for soil and large-scale pesticide use. This approach significantly reduces the environmental impact of farming.

Another significant benefit is the reduction in food miles. Vertical farms can be established within urban areas, drastically cutting down the distance food travels from farm to consumer. This not only ensures fresher produce but also reduces transportation emissions, contributing to lower carbon footprints.

However, vertical farming faces its own set of challenges. The initial setup and operational costs can be high, making it difficult for these farms to compete with traditional agriculture in terms of cost. Additionally, the energy requirements for maintaining controlled environments, such as lighting and temperature control, are substantial. Critics argue that unless renewable energy sources power these farms, they may not be as sustainable as they seem.

Despite these challenges, the potential of vertical farming in reshaping urban agriculture remains immense. As technology advances, the efficiency of these farms is expected to improve, making them a vital component in the development of sustainable cities.
Q. Based on the passage, which of the following can be inferred about vertical farms compared to traditional farms?

Detailed Solution for GMAT Focus Edition Mock test - 2 - Question 34

This is an INFERENCE question. The passage states that vertical farms use hydroponic systems that are more water-efficient and reduce the need for pesticides, and they also cut down food miles. From this, it can be inferred that vertical farms have a smaller environmental footprint compared to traditional farms (Choice C). The other options are either contradicted by the passage or not supported by the information given.

GMAT Focus Edition Mock test - 2 - Question 35

Direction: Read the following Passage and Answer the following Question.
As urban landscapes continue to expand, the rise of vertical farming is becoming a crucial element in the quest for sustainable city living. Vertical farms, which grow crops in stacked layers within a controlled environment, offer a revolutionary approach to agriculture in urban settings. This innovative method of farming is not just about saving space; it's about reimagining how we produce food in the face of growing environmental challenges.

One of the key advantages of vertical farming is its minimal use of water and pesticides. Unlike traditional agriculture, which relies heavily on these resources, vertical farms use hydroponic systems that circulate water efficiently and eliminate the need for soil and large-scale pesticide use. This approach significantly reduces the environmental impact of farming.

Another significant benefit is the reduction in food miles. Vertical farms can be established within urban areas, drastically cutting down the distance food travels from farm to consumer. This not only ensures fresher produce but also reduces transportation emissions, contributing to lower carbon footprints.

However, vertical farming faces its own set of challenges. The initial setup and operational costs can be high, making it difficult for these farms to compete with traditional agriculture in terms of cost. Additionally, the energy requirements for maintaining controlled environments, such as lighting and temperature control, are substantial. Critics argue that unless renewable energy sources power these farms, they may not be as sustainable as they seem.

Despite these challenges, the potential of vertical farming in reshaping urban agriculture remains immense. As technology advances, the efficiency of these farms is expected to improve, making them a vital component in the development of sustainable cities.
Q. The author of the passage is most likely to agree with which of the following statements?

Detailed Solution for GMAT Focus Edition Mock test - 2 - Question 35

This is an INFERENCE question. While acknowledging the challenges, the passage emphasizes the benefits of vertical farming, such as reduced water and pesticide use, and lower transportation emissions. This suggests that the author believes the benefits of vertical farming outweigh its current challenges (Choice B). The other choices are either too extreme or not supported by the passage.

GMAT Focus Edition Mock test - 2 - Question 36

Direction: Read the following Passage and Answer the following Question.
As urban landscapes continue to expand, the rise of vertical farming is becoming a crucial element in the quest for sustainable city living. Vertical farms, which grow crops in stacked layers within a controlled environment, offer a revolutionary approach to agriculture in urban settings. This innovative method of farming is not just about saving space; it's about reimagining how we produce food in the face of growing environmental challenges.

One of the key advantages of vertical farming is its minimal use of water and pesticides. Unlike traditional agriculture, which relies heavily on these resources, vertical farms use hydroponic systems that circulate water efficiently and eliminate the need for soil and large-scale pesticide use. This approach significantly reduces the environmental impact of farming.

Another significant benefit is the reduction in food miles. Vertical farms can be established within urban areas, drastically cutting down the distance food travels from farm to consumer. This not only ensures fresher produce but also reduces transportation emissions, contributing to lower carbon footprints.

However, vertical farming faces its own set of challenges. The initial setup and operational costs can be high, making it difficult for these farms to compete with traditional agriculture in terms of cost. Additionally, the energy requirements for maintaining controlled environments, such as lighting and temperature control, are substantial. Critics argue that unless renewable energy sources power these farms, they may not be as sustainable as they seem.

Despite these challenges, the potential of vertical farming in reshaping urban agriculture remains immense. As technology advances, the efficiency of these farms is expected to improve, making them a vital component in the development of sustainable cities.
Q. Which of the following concerns about vertical farming is mentioned in the passage?

Detailed Solution for GMAT Focus Edition Mock test - 2 - Question 36

This is a DETAIL question. The passage mentions that vertical farming requires substantial energy for maintaining controlled environments, such as lighting and temperature control (Choice C). The other concerns listed in the options, such as loss of biodiversity (Choice A), limited crop range (Choice B), contribution to urban sprawl (Choice D), or heavy dependence on chemical fertilizers (Choice E), are not mentioned in the passage.

GMAT Focus Edition Mock test - 2 - Question 37

Industrial and automobile pollution have long been thought to contribute to global warming. However, researchers have identified that the carbon dioxide and carbon monoxide released into the atmosphere are not as potent as the methane emitted by cud-chewing animals such as cows when they fart or belch. Therefore, if you drive a hybrid electric car to the grocery, any favor that you would do to the environment would be offset if you end up buying beef.

Q. Which of the following best describes the author's reasoning?

Detailed Solution for GMAT Focus Edition Mock test - 2 - Question 37

Step 1: Analyzing the Argument

The argument discusses the various factors that cause global warming. The author refutes the popular belief that industrial and automobile pollution are the primary factors and presents an alternative theory that cattle belching has a greater impact. Although not explicitly stated, the author implies that cattle farming is a contributor by stating that beef consumption contributes to global warming. The correct answer must capture this reasoning used by the author.

Step 2: Process of Elimination

• An analogy is a comparison. For the author to draw an analogy, he should be saying that what happened in the case of X is true again in the case of Y. However, the author does not make any such comparison and option (A) can be eliminated.

• The author has presented a counter theory made by some researchers. The author has also presented a hypothetical scenario explaining the counter theory. However, at no point has the author provided any “evidence”. An evidence has to be some kind of data or irrefutable fact used by the author. Since the argument presents no evidence, option (B) can be eliminated.

• While the author does present a theory that is contrary to another, the theory presented is not the author’s own but that of the researchers. The option that correctly describes the author’s reasoning must take into account the last statement of the argument, which is the primary statement that presents the author’s perspective. However, option (C) fails to capture this.

• The author is providing an illustration of the new theory in an effort to counter the long-established one. Choice (D) is an apt description of the argument.

Choice D is the correct answer.

GMAT Focus Edition Mock test - 2 - Question 38

Direction: Read the following Passage and Answer the following Question.

Currently the Internet is a non-discriminatory space, where each site sends information freely. But this could change if neutrality legislation is not passed. Should Yahoo! pay each time someone downloads a video? Should eBay be charged a connection fee to utilize the Internet which makes its commerce possible? Verizon caused a stir recently when one of its executives said that Google “is enjoying a free lunch.” This free lunch could be ending soon.

“Network Neutrality” is a term used to describe the idea that I.S.P’s - like Verizon and Roadrunner - should not be allowed to favor certain websites over others. Network Neutrality is central to keeping the Internet a freely evolving entity. I.S.P.’s are interested in “access tiering,” which assigns to different sites different levels of access. If access tiering is allowed, small business sites could have a harder time getting the connection speeds that companies like Walmart.com would be able to pay for. In this case, larger corporations would have an unfair advantage in online sales.

The net neutrality bill, currently being drawn up, would keep I.S.P.’s from charging fees and then favoring those who pay the most. Service providers of phone and cable tend to get their way in federal legislation; however, the public has a strong interest in keeping the Internet a free space. We need to get behind “Network Neutrality” legislation right away. If we come out in strong support of net neutrality, users of the Internet will decide how the Internet evolves, instead of its providers.

Q. The tone of the passage is

Detailed Solution for GMAT Focus Edition Mock test - 2 - Question 38

The tone of the passage is B. Persuasive.
The passage is written to persuade the reader to support "Network Neutrality" legislation. It presents arguments and reasons to convince the reader of the importance of maintaining a free and non-discriminatory internet.

GMAT Focus Edition Mock test - 2 - Question 39

Direction: Read the following Passage and Answer the following Question.

Currently the Internet is a non-discriminatory space, where each site sends information freely. But this could change if neutrality legislation is not passed. Should Yahoo! pay each time someone downloads a video? Should eBay be charged a connection fee to utilize the Internet which makes its commerce possible? Verizon caused a stir recently when one of its executives said that Google “is enjoying a free lunch.” This free lunch could be ending soon.

“Network Neutrality” is a term used to describe the idea that I.S.P’s - like Verizon and Roadrunner - should not be allowed to favor certain websites over others. Network Neutrality is central to keeping the Internet a freely evolving entity. I.S.P.’s are interested in “access tiering,” which assigns to different sites different levels of access. If access tiering is allowed, small business sites could have a harder time getting the connection speeds that companies like Walmart.com would be able to pay for. In this case, larger corporations would have an unfair advantage in online sales.

The net neutrality bill, currently being drawn up, would keep I.S.P.’s from charging fees and then favoring those who pay the most. Service providers of phone and cable tend to get their way in federal legislation; however, the public has a strong interest in keeping the Internet a free space. We need to get behind “Network Neutrality” legislation right away. If we come out in strong support of net neutrality, users of the Internet will decide how the Internet evolves, instead of its providers.

Q. Which of the following best describes the organization of the passage?

Detailed Solution for GMAT Focus Edition Mock test - 2 - Question 39

The passage begins by posing questions about whether companies like Yahoo! and eBay should be charged for internet usage and discusses the possibility of the end of the non-discriminatory nature of the internet. Following this, it presents an argument in favor of "Network Neutrality" to answer these questions.

GMAT Focus Edition Mock test - 2 - Question 40

Direction: Read the following Passage and Answer the following Question.

Currently the Internet is a non-discriminatory space, where each site sends information freely. But this could change if neutrality legislation is not passed. Should Yahoo! pay each time someone downloads a video? Should eBay be charged a connection fee to utilize the Internet which makes its commerce possible? Verizon caused a stir recently when one of its executives said that Google “is enjoying a free lunch.” This free lunch could be ending soon.

“Network Neutrality” is a term used to describe the idea that I.S.P’s - like Verizon and Roadrunner - should not be allowed to favor certain websites over others. Network Neutrality is central to keeping the Internet a freely evolving entity. I.S.P.’s are interested in “access tiering,” which assigns to different sites different levels of access. If access tiering is allowed, small business sites could have a harder time getting the connection speeds that companies like Walmart.com would be able to pay for. In this case, larger corporations would have an unfair advantage in online sales.

The net neutrality bill, currently being drawn up, would keep I.S.P.’s from charging fees and then favoring those who pay the most. Service providers of phone and cable tend to get their way in federal legislation; however, the public has a strong interest in keeping the Internet a free space. We need to get behind “Network Neutrality” legislation right away. If we come out in strong support of net neutrality, users of the Internet will decide how the Internet evolves, instead of its providers.

Q. The passage probably appeared in a:

Detailed Solution for GMAT Focus Edition Mock test - 2 - Question 40

The passage addresses a current issue (Net Neutrality) and encourages the reader to take a particular stance. Newspaper editorials often discuss contemporary topics, provide analysis, and advocate for a particular viewpoint, which aligns with the content and purpose of the passage.

GMAT Focus Edition Mock test - 2 - Question 41

There are several scientific studies and research findings that are constantly discussed and publicized in the news media. Some of these are contrary to other research studies that are published. This conflict in information makes people believe that either science is inaccurate or that they can ‘choose’ which scientific result they want to believe in. However, neither of these beliefs is accurate. Science is not inaccurate or subjective. Most of the time, scientific studies show inconsistent results either because of inaccuracies in methodology adopted or because of misrepresentation of actual results by the news media. For example, a recent study done on just 15 women showed that eating chocolate was not necessarily harmful during pregnancy and the media reported that chocolate was actually beneficial to the foetus.

Q. Which of the following best further corroborate the author’s argument?

Detailed Solution for GMAT Focus Edition Mock test - 2 - Question 41

Step 1: Analyzing the Argument

The author believes that scientific studies, when done right, are reliable and that the conflicting studies are the result of misrepresentation of data and inaccurate studies and not the problem with the scientific methodology itself.

To further underscore the reasoning, the correct option must establish one more situation in which the methodology adopted in the study is inaccurate and/or the news media misrepresents the actual results of the study.

Step 2: Process of Elimination

• Option (A) presents a study result that has a conclusion that is seemingly wrong. However, there is nothing in the answer option that indicates that the study adopted inaccurate methodology. The answer might seem attractive because the information is contrary to real life information. However, real life information should not be brought into any critical reasoning question. The option can be eliminated.

• Option (C) presents a study that further collaborates another study – there is no conflict and no sign of any inaccuracy in this option.

• While Option (D) mentions that the news media made a study into a sensation, there is again nothing to indicate that the study was misrepresented or that the study involved incorrect methodology.

• Option (E) indicates a seeming conflict in beliefs held by people. Again however, there is nothing to indicate that either of those studies are incorrect. There need not a conflict either, because the disease could be affected by both genetic and lifestyle factors.

• Option(B) collaborates the author’s argument the best because it indicates that the study was done on a very small population and that the study, despite being unverified, is becoming popular. This extends the discussion in the argument and is the answer.

Choice B is the correct answer.

GMAT Focus Edition Mock test - 2 - Question 42

Insect Infestations in certain cotton growing regions of the world have caused dramaticincreases of cotton on the world market. Knowing that cotton plants mature quickly, manysoybean growers in Ortovia plan to cease growing soybeans, the price of which has long beenstable and to begin raising cotton instead, thereby taking advantage of the high price of cottonto increase their income significantly over the next several years.

Q. Which of the following, if true, most calls into question the reasoning on which the plan is based?

Detailed Solution for GMAT Focus Edition Mock test - 2 - Question 42

A. The cost of raising soybeans has increased significantly over the past several years and is expected to continue to climb.

• Explanation: This supports the idea that growing soybeans might become more profitable, which weakens the argument. If soybean prices are rising, it challenges the assumption that cotton is the more lucrative option.

Correct Answer: A

B. Tests of a newly developed, inexpensive pesticide have shown it to be both environmentally safe and effective against the insects that have infected the cotton crops.

• Explanation: This doesn't directly address the switch from soybeans to cotton and doesn't weaken the argument.

C. In the past several years, there has been no sharp increase in the demand for cotton, and for goods made out of cotton.

• Explanation: This might suggest that the increase in cotton production won't be met with a corresponding increase in demand, but it doesn't directly challenge the plan.

D. Many consumers consider cotton cloth a necessity rather than a luxury and would be willing to pay significantly higher prices for cotton goods than they are currently paying.

• Explanation: This supports the idea that demand for cotton is inelastic, potentially strengthening the argument.

E. The species of insect that has infested the cotton plants has never been known to infest soybean plants.

• Explanation: This doesn't directly address the economic viability of switching from soybeans to cotton.
GMAT Focus Edition Mock test - 2 - Question 43

Jennifer: Video rental outlets in Centerville together handled 10,000 fewer video rentals in 1994 than in 1993. The decline in rentals was probably due almost entirely to the February 1994 opening of Videorama, the first and only video rental outlet in the area that, in addition to renting videos, also sold them cheaply. Brad: There must be another explanation: as you yourself said, the decline was on the order of 10,000 rentals. Yet Videorama sold only 4,000 videos in 1994.

Q. Which of the following, if true, would most seriously weaken the force of the objection that Brad presents to Jennifer's explanation?

Detailed Solution for GMAT Focus Edition Mock test - 2 - Question 43

Jennifer attributes the decline in video rentals to the opening of Videorama, but Brad objects. What weakens Brad's objection?

A. In 1994 Videorama rented out more videos than it sold.

• Explanation: This suggests that Videorama was a significant player in the video rental market, potentially weakening Brad's objection.

Correct Answer: A

B. In 1994 two new outlets that rent but that do not sell videos opened in Centerville.

• Explanation: This introduces new information but doesn't necessarily weaken Brad's objection.

C. Most of the video rental outlets in Centerville rent videos at a discount on certain nights of the week.

• Explanation: This introduces a different factor affecting video rentals but doesn't directly address Brad's objection.

D. People often buy videos of movies that they have previously seen in a theater.

• Explanation: This is unrelated to the decline in video rentals.

E. People who own videos frequently loan them to their friends.

• Explanation: This is also unrelated to the decline in video rentals.
GMAT Focus Edition Mock test - 2 - Question 44

Although fullerenes - spherical molecules made entirely of carbon - were first found in the laboratory, they have since been found in nature, formed in fissures of the rare mineral shungite. Since laboratory synthesis of fullerenes requires distinctive conditions of temperature and pressure, this discovery should give geologists a test case for evaluating hypotheses about the state of the Earth's crust at the time these naturally occurring fullerenes were formed.

Q. Which of the following, if true, most seriously undermines the argument?

Detailed Solution for GMAT Focus Edition Mock test - 2 - Question 44

The argument is about the discovery of fullerenes in nature and its implications for geologists. What weakens this argument?

A. Confirming that the shungite genuinely contained fullerenes took careful experimentation.

• Explanation: This supports the credibility of the discovery and does not weaken the argument.

B. Some fullerenes have also been found on the remains of a small meteorite that collided with a spacecraft.

• Explanation: This provides additional information but doesn't necessarily weaken the argument.

C. The mineral shungite itself contains large amounts of carbon, from which the fullerenes apparently formed.

• Explanation: This suggests a natural source for fullerenes, supporting the argument.

D. The naturally occurring fullerenes are arranged in a previously unknown crystalline structure.

• Explanation: This provides information about the structure of fullerenes but doesn't necessarily weaken the argument.

Correct Answer: E

E. Shungite itself is formed only under distinctive conditions.

• Explanation: If shungite can only form under specific conditions, it weakens the idea that fullerenes found in shungite can be used as a general test case for the Earth's crust conditions.
GMAT Focus Edition Mock test - 2 - Question 45

If m, s are the average and standard deviation of integers a, b, c, and d, is s > 0?

I. m > a
II. a + b + c + d = 0