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Test: Data Insights - 5 - GMAT MCQ


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20 Questions MCQ Test - Test: Data Insights - 5

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Test: Data Insights - 5 - Question 1

A sports coach intends to choose a team of players from a pool of candidates. The coach wants to be able to have more than 20 but fewer than 25 distinct possibilities for the composition of the chosen team, with at least as many candidates chosen for the team as those not chosen.
Identify the number of candidates in the pool and the number of players on the team that are consistent with the coach’s intentions. Make only two selections, one in each column.

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

For choosing teams, you want to keep in mind the combination basics...
you want to choose out of n people, create a team of r. THe number of combinations (NOT permutations) should be between 21-24. That's more than 20 and less than 25.
So, if you try the various combinations the only one that works is out of 7 choose a team of 5.
THat's 7NCR5
7! / (5! 2!) = 6*7/2 = 21
What about 8C4?
8! / (4!*4!) = 5*6*7*8/4 = 30*7*2 = 240
What about 8C5?
8! / (5! 3!) = 6*7*8 / (3*2) = 56
What about 8C6?
8! / (6! 2!) = 7*8 / 2 = 28
What about 8C7?
8! / (7! 1!) = 8
So somehow we don't get in the correct range. You can try for the others but you won't get in range.
6C3 = 6! / (3! 3!) = 4*5*6 / (3*2) = 20
6C4 = 6! / (4! 2!) = 5*6 / 2 = 15
The highest number of combinations will be in the middle. So 6C3 will be the max for 6 people. 4C2 will be the max for 4 people. So if 6C3 only has 20, we know we need to go higher to 7.
7C4 = 7! / (4! 3!) = 5*6*7 / (3*2) = 5*7 = 35 (too high)
7C5 = 7! / (5! 2) = 6*7 / 2 = 21 (just right!)
So if you're familiar with the binomial distribution curve for these combinations and that out of 8 you choose a number in the middle you'll get the highest number of results. Using that you can do an educated guess as to what to try next.

Test: Data Insights - 5 - Question 2

For each blank, select the answer choice that correctly completes the statement according to the information in the graph.

1. The relationship between the duration of eruptions and the waiting time between eruptions is _________.
2. The graph suggests that Old Faithful has __________ of eruption.

Detailed Solution for Test: Data Insights - 5 - Question 2

To answer the question based on the scatter plot:

1. The relationship between the duration of eruptions and the waiting time between eruptions:

Blank 1: Nonlinear and positive
From the scatter plot, we can observe that as the duration of eruptions increases, the waiting time between eruptions also increases. The relationship appears to be positive because the points generally move upwards as the eruption duration increases. However, the relationship is not perfectly linear because the points do not follow a straight line but instead curve, indicating a nonlinear pattern. Therefore, the relationship is nonlinear and positive.

2. The graph suggests that Old Faithful has:

Blank 2: Two distinct types of eruption

The scatter plot shows that the points cluster into two main groups: one group with shorter eruption durations and lower waiting times and another group with longer eruption durations and higher waiting times. This suggests that Old Faithful has two distinct types of eruption based on the eruption duration and waiting time.

Therefore, the correct option is:
Option B:

  • Blank 1: Nonlinear and positive
  • Blank 2: Two distinct types
Test: Data Insights - 5 - Question 3

In a Dance Reality Show ‘Dancing with the Stars’, there are 10 celebrities, & 3 judges. Out of these 3 judges, one is the Super Judge. The Celebrities are graded out of 10 marks by each judge. The final score is computed out of weighed score of 3 judges and audience. Also, weightage of the audience score is twice that of all 3 judges’ combined weightage. Judge 1 and Judge 2 have equal weightage in the final score, while Super Judge’s weightage is more than these 2 judges’ weightages.
For each of the following statements, select ‘Yes’ if statement is true based solely on the information provided in the table; otherwise select ‘No’.

(Sort ↕ the table by clicking on the headers)

Detailed Solution for Test: Data Insights - 5 - Question 3

Super Judge’s weightage is close to thrice the weightage of Judge 1 or 2:
The Super Judge’s weightage is likely to be much higher than the other judges. It's reasonable to say it's "close to thrice" their weightage.
Answer: Yes

Are scores given by Judge 1 and audience positively correlated?:
The scores do not show a consistent positive correlation between Judge 1 and the audience across celebrities.
Answer: No

There are at most 3 celebrities, whose Super Judge score is equal to the median Super Judge score:
The median Super Judge score is 7, and there are 5 celebrities with this score.
Answer: No

Thus, the correct answer is Option A.

Test: Data Insights - 5 - Question 4

For each of the following statements about these indigenous populations, select Yes if the statement accurately reflects the data provided in the table. Otherwise, select No.

Detailed Solution for Test: Data Insights - 5 - Question 4

1) Yes,The population which forage are :
Au-1->MI rating
Hadza-0
Tsimane-7
Yasawa-21
So they all have lowest MI ratings,since the highest goes upto 72
2) Yes,Since Gusi,Isanga village,and Maragoli depend on farming and wage work and there CS rankings are:Gusi-1,Isanga village-5, Maragoli-2
3) Yes,Range for MI-72-0=72
Range for world religion=100-0=100

Test: Data Insights - 5 - Question 5

For each of the following participants, select Yes if the participant's RCT was faster than that of Participant 30. Otherwise, select No.

Detailed Solution for Test: Data Insights - 5 - Question 5
  • Compare within shared subfields (lower rank ⇒ faster RCT).

  • Participant 13 vs 30: share G and H/J; in G, 13 has 3 and 30 has 4 ⇒ 13 faster.

  • Participant 17 vs 30: share K; 17 has 6, 30 has 4 ⇒ 30 faster ⇒ 17 slower.

  • Participant 41 vs 30: share G and L; in G: 41 8 vs 30 4; in L: 41 4 vs 30 2 ⇒ 30 faster in both ⇒ 41 slower.

Test: Data Insights - 5 - Question 6

What distance does Jim travel from his home to the supermarket?
(1) Jim leaves home at 9:00 a.m. and arrives at the supermarket 20 minutes later, driving nonstop.
(2) During this trip, Jim drives at an average of 30 mph.

Test: Data Insights - 5 - Question 7

If machine X ran continuously at a uniform rate to fill a production order, at what time did the machine finish filling the order?
(1) Machine X had filled 2/3 of the order by 10:00 a.m. and 5/6 of the order by 10:30 a.m.
(2) Machine X had filled 1/6 of the order by 8:30 a.m. and 1/3 of the order by 9:00 a.m.

Test: Data Insights - 5 - Question 8

What is the value of x?
(1) x is negative.
(2) 2x = -4.

Test: Data Insights - 5 - Question 9

Did United States carriers use more than 10 billion gallons of jet fuel during 1983?
(1) United States carriers paid a total of $9.4 billion for the jet fuel used in 1983.
(2) United States carriers paid an average (arithmetic mean) of $0.90 per gallon for the jet fuel used in 1983.

Test: Data Insights - 5 - Question 10

From each dropdown menu, select the option that creates the most accurate statement based on the information provided.

1. Forinteger values of years from points B to C, the median population size falls at approximately _____ ?
2. Which of the following is closest to the percent increase in population size from year 4 to year 5 as a fraction of the percent increase in population size from year 5 to year 6? ______

Detailed Solution for Test: Data Insights - 5 - Question 10

1. The population size from years 5 to 9 is increasing, which means the values are already sorted. The median will the value at year 7 or about 90000.
2. The percent increase from year 4 to 5 is equal to

The percent increase from year 5 to 6 is equal to

The ratio between the two will be

Test: Data Insights - 5 - Question 11


In the diagram, 14 nodes are represented by circles, and relationships among the nodes are indicated by arrows. Each arrow points from one node (the parent node) to another node (the child node). A positive numerical value is assigned to each node so that the value assigned to a parent node is exactly double the value assigned to its child node. The nodes labeled A through E are the principal nodes.
Use the drop-down menus to create the most accurate statement based on the information provided.

The value assigned to the principal node labeled ____ must be exactly double the value assigned to the principal node labeled ____.

Detailed Solution for Test: Data Insights - 5 - Question 11

Based on the description, we're told that when a node (a circle) has an arrow pointing to another node (another circle), there's a relationship between the two values. The first circle (the parent node) has a value that is DOUBLE that of the second circle (the child node; the one that is pointed TO).

As an example, look at the first 2 circles (the "A" and the one that "A" is pointing to). Those circles COULD have respective values of 2 and 1, 4 and 2, 6 and 3, 8 and 4, etc. To be fair, the prompt did NOT state that the values had to be integers, so we could have 3 and 1.5, 2.08 and 1.04, etc.

By extension, a longer "string" of nodes must also have values that DOUBLE from node to node. Notice the 3 circles (the "A", the "blank" and the "B"). Their respective values could be 4-2-1, 8-4-2, 12-6-3, 10-5-2.5, etc.

These examples are note-worthy in that they show how TESTing VALUES can help you to figure out the relationships of the various nodes. This question asks us to find 2 nodes - one that has DOUBLE the value of another.

Let's start with the 4th node (the one between the "B" and "C" nodes). Let's give THAT node a value of 1. DOUBLING each value as we go, we'd have....

1....2 (the "B" node)....4......8 (the "A" node)

Now, going in the other direction...
1....2 (the "C" node)....4....8.....16 (the "D" node)

From this, we can see that the "D" node is DOUBLE the "A" node.

Test: Data Insights - 5 - Question 12

For each of the following statements, if it is supported by the information in the table and its legend, select Yes. Otherwise select No.­

Test: Data Insights - 5 - Question 13

In September 2010, Armando purchased 5 identically priced shirts and 3 identically priced pairs of trousers from a certain department store. Armando paid a total of €28.85 for the shirts and €38.97 for the trousers. In October 2010, the department store held a sale, taking 25% off of the September price of everything in the store. Armando returned to the store during the October 2010 sale and bought 11 of the shirts and 7 pairs of the trousers for some friends.
In the table, select how much Armando paid in October for the 11 shirts and 7 pairs of trousers, rounding for each item to the nearest cent. Make only one selection in each column.­

Test: Data Insights - 5 - Question 14

The equation 6 × 5 – 4 ÷ 2 – 3 + 7 )0 – 1 )2 = 6 is missing two opening parentheses. It can be made true if opening parentheses are placed immediately before each of two of the numbers.
Assume that standard order-of-operations principles are followed, whereby multiplication and division are performed before addition and subtraction, unless parentheses indicate otherwise. Select in the table a number before which the first opening parenthesis could be placed and a number before which the second opening parenthesis could be placed, such that the equation would express a true statement. Make only two selections, one in each column.

Test: Data Insights - 5 - Question 15

Manager S: Our company provides a small annual monetary benefit for each employee who submits documentation to the company proving that the employee had a comprehensive medical exam in a given year. The policy has been successful in increasing the number of employees who get the exam annually precisely because the benefit requires this specific form of documentation, and this success has resulted in improved employee health. [Insert Sentence 1.]
Manager T: I agree that the overall policy has improved employee health, and it is good to improve employee health. However, the required documentation resulted in our company having access to an employee's private medical data. The benefit to employee health is not worth compromising employee privacy. [Insert Sentence 2.]
Select for Sentence 1 the sentence that best completes Manager S's argument, and select for Sentence 2 the sentence that best completes Manager T's argument. Make only two selections, one in each column.­

Test: Data Insights - 5 - Question 16

Using all the information provided, select Yes if the statement about eligibility/promotion is possible. Otherwise, select No.

Test: Data Insights - 5 - Question 17

For each of the following statements, select Conclusively Eligible if the candidate is absolutely eligible for the position he/she is applying for. Otherwise, select Not Conclusively Eligible.

Test: Data Insights - 5 - Question 18

Jack joins the bank fresh out of college at age 22 as an Analyst. What is the minimum number of years for Jack (from age 22) before Jack can become a Principal at this same bank?

Test: Data Insights - 5 - Question 19

Based on the flow chart and the text in the Memo tab, indicate whether each of the following statements is true or false.

Test: Data Insights - 5 - Question 20

Based on the flow chart and the text in the Memo tab, indicate whether each of the following statements is true or false.

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