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Test: Data Insights - 1 - GMAT MCQ


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20 Questions MCQ Test - Test: Data Insights - 1

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Test: Data Insights - 1 - Question 1

Find the value of r if 4r + 2t = 14.
1. t  = 2.
2. r > t.

Detailed Solution for Test: Data Insights - 1 - Question 1

4r + 2t = 14
In statement 1, t = 2, substituting for t in 4r + 2t = 14, we have
4r + 4 = 14; 4r = 10; r = 2  1/2. The statement is sufficient.
In statement 2, r > t , thus none of this is assigned a numeric value. Thisa implies that the solution of r in 4r + 2t = 14 will be a set of values. This implies that the statement is not sufficient.

Test: Data Insights - 1 - Question 2

Find the mean of the data.
1. The data has 8 data values
2. The data is 3, 4, 5, 6, 4, 1, 0, 5

Detailed Solution for Test: Data Insights - 1 - Question 2

Mean  = 1/n (∑x) where the symbols have their usual meaning.
In statement 1, n = 8, but ∑x is unknown, hence it is not sufficient.
In statement 2, ∑x = (3 + 4 + 5 + 6 + 4 + 1 + 0 + 5) = 28, and n =8 hence, mean = 28/8 = 3.5. The statement is sufficient.

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Test: Data Insights - 1 - Question 3

Managing Director 

Message from the Managing Director of a theater company to the Artistic Director

I have information about six theaters that could be suitable for our upcoming production. Their capacities range from 142 seats to 199 seats, and their rental rates range from $6000 per week to $12,000 per week. Location ac-counts for much of the difference in prices: Theaters in Center City are pricier than the others. On the other hand, we are likely to sell more tickets in a centrally located theater than in one of the others. Judging by our recent productions, I think that we should be able to achieve 50% of our weckly box office potential (that is, 50% of what we would earn in a weck if we sold all tickets to all performances at the maximum price) in Center City. Otherwise, 40% is a more reasonable expectation.

Take a look at the attached table for more details.

For each of the following theaters, select Yes if the managing director believes it is reasonable that each week the theater company will be able to earn more than $13,000 above the weekly rental price at that theater. Otherwise, select No.

Detailed Solution for Test: Data Insights - 1 - Question 3

The Lark
Weekly Rental = $6500
Revenue @40% as it's not at center = $18900

Amount abover weekly Rental = 18900-6500 = $12400 < $13000 ie. NO

The Tulip
Weekly Rental = $11,000
Revenue @40% as it's not at center = $18900

Amount abover weekly Rental = 18900-11000 = $7900 < $13000 ie. NO

The Attic
Weekly Rental = $10,000
Revenue @50% as it's at center = $23,625

Amount abover weekly Rental = 23625-10000 = $13625 > $13000 ie. YES

Test: Data Insights - 1 - Question 4

Stephenson, a businessman bought an Iron box for $80. Determine his profit.
1. He made a 30% profit.
2. His selling price was $104.

Detailed Solution for Test: Data Insights - 1 - Question 4

Cost price = $80 is equivalent to 100%.
In statement 1, profit = 30%
= 30/100 × 80 = $24.
Profit = 104 - 80 = $24. The statement is sufficient.
In statement 2, selling price = 104.
selling price = cost price + profit; hence, profit =104 - 80 = $24. The statement is sufficient.

Test: Data Insights - 1 - Question 5

A company that designs websites primarily for minority-owned businesses conducted a survey of minority-owned businesses in the United States that do not currently have a website. The survey was designed to help determine what respondents see as the potential benefits of adding a website. The results of that survey are shown in the table.

For each of the following conclusions, select Supported if it is supported by the information in the table. Otherwise, select Not supported.

Detailed Solution for Test: Data Insights - 1 - Question 5

A majority of the respondents believe adding a website could benefit their businesses.: Supported 
Fewer than 25% of the respondents who believe a website could help expand their customer base also believe a website could help them maintain their current market share.: Supported 
Only a small proportion of the respondents are concerned that they are losing market share.: Not supported

Test: Data Insights - 1 - Question 6

Lyric Poetry
A team of classicists is examining some newly discovered manuscripts of ancient Greek lyric poetry, keeping in mind the following background information: Lyric poetry is a broad term used to describe the poems that were not epics or drama, and which were composed from roughly the 7th century BCE through the middle of the 5th century BCE.
The content of these poems spanned a wide range. While the Greck epics and tragedies dealt almost exclusively with the myths of Greece’s past, lyric poetry, though at times using a mythic background, kept its focus mostly on the present. Stylistically, lyric poetry had a wide variety, as well. Choral songs, such as eulogies, dithyrambs, dirges, and victory odes, were performed by a chorus and an accompanying instrument, usually on public occasions. Solo songs, also accompanied by an instrument, were typically of a more personal nature, with love as their chief subject. Alcaeus’ poetry provided a partial exception as solo songs go, for he also composed songs about politics as well as hymns to the gods.
Besides choral and solo songs, lyric poetry included elegiac and iambic poems, which may or may not have been performed to music. Elegiac poems are defined by meter, and the elegiac couplet, and were usually political or ethical exhortations. Iambic poems were usually polemics, or monologues of a satirical or salacious nature, often, but not always, composed in the iambic meter. Archilochus used iambics and trochaics for his poetry, whereas Hipponax was unique in his use of the choliambic meter.

Lyric Poets

For each of the following statements about a newly discovered poem that was composed in the choliambic meter, select Yes if it can be reasonably inferred from the given information. Otherwise, select No.

Detailed Solution for Test: Data Insights - 1 - Question 6

Statement 1: Hipponax is mentioned as perhaps the only composer of choliambics, and he was a composer of iambic poetry, which is not love poetry. Thus, this statement can be inferred.
Answer: Yes

Statement 2: This statement is inferable: Hipponax lived in the 6th century.
Answer: Yes

Statement 3: This statement cannot be inferred. The given information says that iambic poetry may or may not have been performed to music, and since this choliambic poem was probably by Hipponax, who was a composer of iambic poetry, this poem may or may not have been performed to music.
Answer: No

Test: Data Insights - 1 - Question 7

Ann deposited $3000 in her bank account at the beginning of the year. Determine the amount the funds accumulated to.
1. The bank offered 4.3% interest rate.
2. The amount was deposited for a period of 5 years.

Detailed Solution for Test: Data Insights - 1 - Question 7

Deposit (P) = 3000.
Accumulated amount = P + (1 + R/100)n where the variables have their usual meaning for compound interest and
Accumulated amount = P + (P × r/100 × n) where the variables have their usual meaning for simple interest.
In statement 1, r =  4.3 and P =  3000 but we are not given the value of n, hence we cannot find the accumulated amount. Further more, the statement does not give more information about the kind of interest offered, hence, it is not sufficient.
In statement 2, n = 5 and P = 3000 but we are not given the value of r, hence we cannot find the accumulated amount. Furthermore, the statement does not give more information about the kind of interest offered, hence, it is not sufficient.
Combining the two statements, P = 3000, r = 4.5 and n = 5 but, the details given are not sufficient since no specific type on interest is disclosed, therefore, we cannot apply the compound or simple interest formula with accuracy. Thus Statements (1) and (2) TOGETHER are NOT sufficient.

Test: Data Insights - 1 - Question 8


In 2010, there were four used-car dealers in City Z. The graphic shows the monthly sales data for 2010 for two of those dealers as well as the citywide average for used-car dealers for those months.

Based on the given information, use the drop-down menus to most accurately complete the following statements.
1. ABC Cars and XYZ Automotive accounted for ____half of all used-car sales in City Z for 2010.
2. In June 2010, the two used-car dealers that are not specified by the graphic sold a total of exactly _____ cars.

Detailed Solution for Test: Data Insights - 1 - Question 8

1. ABC Cars and XYZ Automotive accounted for_______half of all used-car sales in City Z for 2010.
Since the white circles (connected by blue lines) and the filled squares (connected by black lines) in the graph are consistently at or above the empty squares (connected by dotted lines), it follows that both ABC Cars and XYZ Automotive were at or above the citywide average for every single month in 2010. Thus their combined sales must have been greater than the combined sales of the two dealers not included in the graph. Therefore ABC Cars and XYZ Automotive must have accounted for more than half of all used-car sales in City Z in 2010.
The correct answer is more than.

2. In June 2010, the two used-car dealers that are not specified by the graphic sold a total of exactly______________cars.
In June 2010, the citywide average was 26 cars. This means that the four dealers sold a combined 4(26) = 104 cars. Of those 104 cars, ABC Cars sold 30 and XYZ Automotive sold 28. This implies that the other two dealers sold 104 − 30 − 28 = 46 cars.
The correct answer is 46.
 

Test: Data Insights - 1 - Question 9

Lyric Poetry 
A team of classicists is examining some newly discovered manuscripts of ancient Greek lyric poetry, keeping in mind the following background information: Lyric poetry is a broad term used to describe the poems that were not epics or drama, and which were composed from roughly the 7th century BCE through the middle of the 5th century BCE.
The content of these poems spanned a wide range. While the Greck epics and tragedies dealt almost exclusively with the myths of Greece’s past, lyric poetry, though at times using a mythic background, kept its focus mostly on the present. Stylistically, lyric poetry had a wide variety, as well. Choral songs, such as eulogies, dithyrambs, dirges, and victory odes, were performed by a chorus and an accompanying instrument, usually on public occasions. Solo songs, also accompanied by an instrument, were typically of a more personal nature, with love as their chief subject. Alcaeus’ poetry provided a partial exception as solo songs go, for he also composed songs about politics as well as hymns to the gods.
Besides choral and solo songs, lyric poetry included elegiac and iambic poems, which may or may not have been performed to music. Elegiac poems are defined by meter, and the elegiac couplet, and were usually political or ethical exhortations. Iambic poems were usually polemics, or monologues of a satirical or salacious nature, often, but not always, composed in the iambic meter. Archilochus used iambics and trochaics for his poetry, whereas Hipponax was unique in his use of the choliambic meter.

Lyric Poets 

For each of the following statements about the newly discovered manuscripts, select Yes if it can be reasonably inferred from the given information. Otherwise, select No.

Detailed Solution for Test: Data Insights - 1 - Question 9

Statement 1: The statement is inferable: lyric poetry was composed in the 7th century BCE or later, so it comes after the year 700 BCE.
Answer: Yes

Statement 2: The statement is not inferable. Though concerned with the present, lyric poems did at times use Greece’s mythical past as their backdrop. Thus, a poem referring to Greece’s mythical past could have been composed by one of the major lyric poets.
Answer: No

Statement 3: The given information tells you that love poems were mainly (if not exclusively) written as solo songs. The table of poets does not list any poet who wrote solo songs after the 6th century. Thus, the newly discovered love songs were probably not composed in the 5th century.
Answer: Yes
 

Test: Data Insights - 1 - Question 10


The table gives information on 12 new home addition and renovation projects, in competition for inclusion in a television program featuring innovative styles. The producers of the program intend to make a selection based on one or more of the following criteria: city section (among a total of four), size in square feet of the project, cost of the project in dollars, and rating of innovativeness.
The following statements pertain to various possible selection criteria. Select Yes if the statement must be true on the basis of the given information; otherwise select No.

Detailed Solution for Test: Data Insights - 1 - Question 10

Sorting the table by the "Rating" column, we see that there is one builder (Bildrite) with no project among the five highest-rated projects. But all four sections of the city are represented among these five projects, so all four sections would be featured in a program that included those five projects.
The correct answer is No.

Sorting the table by the "Price" column, we see that the two least expensive projects were both done by Bildrite in the SW section, whereas the two most expensive were both done by Pitts in the NE section. So selecting the top two and bottom two projects by price would include exactly two builders and two city sections. Since the whole table includes exactly four builders and four city sections, this selection leaves out exactly half the builders and half the city sections.
The correct answer is Yes.

Sorting the table by the "Size (square ft)" column, we see that exactly one builder (Bildrite) had no project among the top three or bottom three by square footage.
The correct answer is Yes.
 

Test: Data Insights - 1 - Question 11

Chris has the option to order parts from either of two suppliers. Supplier A offers free shipping but prices items an average of 3.5% higher than Supplier B. Supplier B offers the lower prices but will add a shipping charge to all orders. The shipping charge is $7.50 on orders less than $200, $12.50 on orders from $200 to $500, and $15 on orders over $500. Chris finds Supplier A to be more economical for small purchases but wonders if there is an order size for which Supplier B would be cheaper.
Find the smallest value of an order from Supplier A for which an identical order from Supplier B would be cheaper. If an order costs $401.50 from Supplier A, what will the same order cost from Supplier B?

Detailed Solution for Test: Data Insights - 1 - Question 11

(A) Smallest value of an order from Supplier A for which Supplier B would be cheaper
All values are in the range excess of $350; so, the shipping cost (Supplier B) will be $12.50
The smallest value of an order from Supplier A for which Supplier B would be cheaper;
implies 3.5 % excess value (in case of Supplier A) = Shipping charge (Supplier )
ie, 3.5 % of item price = $12.50
Item price = $12.50 / 0.0350
= $357.14
Hence, Order value = $357.14 + 12.50
= $369.64

(B) Supplier B’s charge for a $401.50 order from Supplier A
If Supplier A charges $401.50 for the order; then
Item price = $401.50 / 1.0350 (since, the order cost will be 3.5% excess for Supplier A)
= $387.92
Hence,
Order Cost for Supplier B = $387.92 + $12.50 (ie, Shipping charge)
= $400.42
 

Test: Data Insights - 1 - Question 12

What is the value of the positive number, p?
1. One of its divisors is 7.
2. p is divisible by two positive numbers only

Detailed Solution for Test: Data Insights - 1 - Question 12

In statement 1, since one of the divisor is 7, it implies that the number is a multiple of 7. This allows us to have infinitely many numbers, hence the statement is not sufficient.
In statement 2, the number is divisible by two numbers only. This implies that p is prime since a prime number is divisible by two positive numbers. Since there are infinitely many prime numbers, the statement is not sufficient.
Combining the two statements, we have p a prime number being divisible by 7, hence p must be 7. Therefore, both statements together are sufficient but neither statement alone is sufficient.

Test: Data Insights - 1 - Question 13

A company that designs websites primarily for minority-owned businesses conducted a survey of minority-owned businesses in the United States that do not currently have a website. The survey was designed to help determine what respondents see as the potential benefits of adding a website. The results of that survey are shown in the table.

For each of the following conclusions, select Supported if it is supported by the information in the table. Otherwise, select Not supported.

Detailed Solution for Test: Data Insights - 1 - Question 13

A majority of the respondents believe adding a website could benefit their businesses.: Supported 
Fewer than 25% of the respondents who believe a website could help expand their customer base also believe a website could help them maintain their current market share.: Supported 
Only a small proportion of the respondents are concerned that they are losing market share.: Not supported

Test: Data Insights - 1 - Question 14

A newly launched small and medium enterprise (SME) company is seeking a loan to support its new project. The company has received loan proposals from two different banks. As per the proposal from Bank A, the company will be provided with an amount of $250,000 at a simple interest rate of 5% per year. The repayment will be made in 12 equal monthly installments, which will include both the principal amount and the interest.
On the other hand, Bank B has offered to provide 125% of the amount proposed by Bank A, with a simple interest rate of 4%. The repayment will also be made in 12 equal monthly installments, including both the principal and the interest.
In the table below, select in column 1 the remaining amount to be paid after six payments, as per the proposal of Bank A, and in column 2 the remaining amount to be paid after nine payments, as per the proposal of Bank B:

Detailed Solution for Test: Data Insights - 1 - Question 14

Proposal of Bank A
Principal amount: 250,000
Annual interest rate: 5%
Annual interest amount: (5/100)*250,000=12,500
Total amount to repay: 250,000+12,500 = 262,500
Installment = 262,500/12 = 21,875
Amount to repay after six months = 262,500-131,250= 131,250

Proposal of Bank B
Principal amount: 125% of the amount proposed by the bank A = 250,000*125%= 312,500
Annual interest rate: 4%
Annual interest amount: (4/100)*312,500=12,500
Total amount to repay: 312,500+12,500 = 325,000
Installment = 325,000/12 = 27,083.33
Amount to repay after nine months = 325,000-243,750= 81,250

Test: Data Insights - 1 - Question 15

Find the common difference of the arithmetic sequence.
1. The third term of the sequence is 1.428.
2. The first and the fifth terms of the sequence is 1 and 1.856.

Detailed Solution for Test: Data Insights - 1 - Question 15

an = a + (n - 1)d
In statement 1, third term, a3 = a + (3 - 1)d = 1.428; a + 2d =1.428.
This is one equation with two unknowns hence we cannot determine the value of d. The statement is not sufficient.
In statement 2, a = 1 and a5 = a + (5 - 1)d = 1.856
Substituting for a, we have 1 + 4d = 1.856; d = 0.214.
The common difference is 0.214, therefore, the statement is sufficient.

Test: Data Insights - 1 - Question 16

The table lists all the employees of the Metro Corporation’s human resources department. Each employee's immediate supervisor is identified by the supervisor’s employee ID number displayed in the last column on the right of the table. If one employee, say A, supervises another, say B, then A also supervises every employee supervised by B. Note that the hire date is given in the format month/day/year.

For each of the following, select Yes if it identifies an employee who, within the human resources department, supervises no one and who has at least 5 supervisors within the human resources department above her or him. Otherwise, select No.

Detailed Solution for Test: Data Insights - 1 - Question 16

O'Neil : 8 <-- 11 <-- 4 <-- 9 <-- 1 <-- 6 <-- 14. Total 6 supervisors and he is supervisor of none so YES.
Patel : 7 <-- 3 <-- 1 <-- 6 <-- 14. Total 4 Supervisors, so NO.
Schickler 2 <-- 10 <-- 6 <-- 14. Total 3 Supervisors, so NO.

Test: Data Insights - 1 - Question 17

Determine the price of two type A footballs if the total cost of a type A and a type B football is $500.
1. Type B football costs $200.
2. Two type A and three type B footballs costs $1200.

Detailed Solution for Test: Data Insights - 1 - Question 17

Let A and B represent the number of type A and Type B footballs respectively. Then A + B =  500.
In statement 1, B = 200, hence, from A + B =  500, A =  500 - B = 500 - 200 = $300. Thus 2A = $600. The statement is sufficient.
In statement 2, 2A + 3B = 1200, from A + B =  500,multiplying it by 3, we have 3A + 3B = 1500. Subtracting 2A + 3B = 1200 from 3A + 3B = 1500, we have A = 300; thus 2A = $600. The statement too is sufficient.

Test: Data Insights - 1 - Question 18

The Quasi JX is a new car model. Under ideal driving conditions, the Quasi JX’s fuel economy is  E  kilometers per liter (  E  ) when its driving speed is constant at S kilometers per hour ( S ).

In terms of the variables S and  E , select the expression that represents the number of liters of fuel used in 1 hour of driving under ideal driving conditions at a constant speed S , and select the expression that represents the number of liters of fuel used in a 60 km drive under ideal driving conditions at a constant speed S. Make only two selections, one in each column.

Test: Data Insights - 1 - Question 19

A sock drawer contains 36 pairs of socks, which are colored white, brown, or black, in some combination as follows:

  • 5 pairs are colored with all three colors;
  • 25 pairs have some white;
  • 28 pairs have some brown;
  • 20 pairs have some black.

In the table, select the number of pairs that have only one color and the number of pairs that have exactly two colors. Make only two selections, one in each column.

Detailed Solution for Test: Data Insights - 1 - Question 19

We know there are 36 pairs of socks
Total 'colors' = 25 + 28 + 20 = 73
If 5 socks have all 3 colors, we know 5 pairs are counted in all 3 buckets, and we should de-duplicate by subtracting 5 * 2 = 10 - so we get 63 pairs...
This is much more than our total of 36 socks. So we need to find how many are still double counted. If a sock has 2 colors it is counted twice in our 63 color total, so to get the number of 2-color pairs we can do total colors - total socks = 63 - 36 = 27 - we know 27 pairs have 2 colors, and that gives us our answer for that part.
For the number of 1 color socks, we can do total - 3 color - 2 color or 36 - 27 - 5 = 36 - 32 = 4 pairs!
And this makes sense - if we have 73 total colors, we can do 4 + 27*2 (27 pairs w 2 colors) +5*3 (5 pairs w 3 colors) = 4 + 54 + 15 = 73
 

Test: Data Insights - 1 - Question 20

The ratio of water to alcohol in a 14 cup container is 2:5. Determine the new volume of the liquid in the container.
1.  Water is increased by 14%.
2. Mixture whose ratio of water to alcohol is 4:5 is added to that in the container.

Detailed Solution for Test: Data Insights - 1 - Question 20

 

Ratio water : alcohol = 2 : 5.
To imply that water = 2/7 × 14 = 4 cups
Alcohol = 14 - 4 = 10 cups.
If water is increased by 14%, we have
new capacity of water =114/100 × 4 = 4.56 cups.
The new volume of the liquid is 10 + 4.56 cups. Hence the statement is sufficient.
In statement 2, ratio of water : alcohol = 4 : 5 but we are not told the quantity of the liquid added or the quantity of water or alcohol added, hence, the statement is not sufficient.

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