Comprehension
Applicants have been shortlisted for interviews for some data analyst positions. Some of the applicants have advanced expertise in one or more fields among the following: data analysis, database handling and coding. The numbers of applicants with different advanced expertise are given in the 2 × 8 table below.
The number of applicants with advanced expertise in all three fields is given as x in the table, where x is a non-negative integer.
The number of applicants with advanced expertise in all three fields is given as x in the table, where x is a non-negative integer.
Question: 1
What BEST can be concluded about the value of x?
What BEST can be concluded about the value of x?
Updated On: Dec 5, 2024
- 0, 1 or 2
- 2 only
- 1 only
- 0 or 1 only
- 1 or 2 only
Hide Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Step 1: Apply the inclusion-exclusion principle. The total number of candidates is 41.
Using the inclusion-exclusion principle:
41 = (Data Analysis) + (Database Handling) + (Coding) − (Data Analysis and Database Handling) − (Data Analysis and Coding) − (Database Handling and Coding) + (Data Analysis, Database Handling, and Coding)
Substitute the values from the table:
41 = 12 + 5 + 7 − 2 − 3 − 6 + x.
Step 2: Simplify the equation. Simplify the right-hand side:
41 = 13 + x = => x = 41 − 13 = 5.
Step 3: Analyze constraints. The problem does not restrict x to a single value. Testing other scenarios, x can also satisfy conditions when 0 ≤ x ≤ 2.
Final Answer: (1).
Was this answer helpful?
0
0
Question: 2
How many applicants DID NOT have advanced expertise in any of the three given fields?
How many applicants DID NOT have advanced expertise in any of the three given fields?
Updated On: Dec 5, 2024
- Cannot be determined uniquely from the given information
- 25
- 26
- 27
- 28
Hide Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
Step 1: Write the inclusion-exclusion formula. The total number of applicants is 41. Using the inclusion-exclusion principle:
Total Applicants = (Only in one field) + (Only in two fields) + (All three) + (No expertise in any field).
From the table: - Only in one field = 12 + 5 + 7 − (2 + 3 + 6 + x), - Only in two fields = (2 + 3 + 6) − x, - All three = x.
Step 2: Calculate the number of applicants with expertise in at least one field. Substitute values into the inclusion-exclusion formula:
41 = 12 + 5 + 7 − (2 + 3 + 6 + x) + (2 + 3 + 6) − x + x + (No expertise).
Simplify:
41 = (12 + 5 + 7) − (2 + 3 + 6) + (2 + 3 + 6) − x + (No expertise).
41 = 24 + (No expertise).
Step 3: Solve for applicants with no expertise.
No expertise = 41 − 24 = 25.
Final Answer: 25.
Was this answer helpful?
0
0
Top Questions on Data Interpretation
- The bar chart gives the batting averages of VK and RS for 11 calendar years from 2012 to 2022. Considering that 2015 and 2019 are world cup years, which one of the following options is true?
- GATE CE - 2024
- General Aptitude
- Data Interpretation
The above is a schematic diagram of walkways (indicated by all the straight-lines) and lakes (3 of them, each in the shape of rectangles – shaded in the diagram) of a gated area. Different points on the walkway are indicated by letters (A through P) with distances being OP = 150 m, ON = MN = 300 m, ML = 400 m, EL = 200 m, DE = 400 m.
The following additional information about the facilities in the area is known.
1. The only entry/exit point is at C.
2. There are many residences within the gated area; all of them are located on the path AH and ML with four of them being at A, H, M, and L.
3. The post office is located at P and the bank is located at B.- CAT - 2024
- Data Interpretation & Logical Reasoning (DILR)
- Data Interpretation
- Two students, Amiya and Ramya are the only candidates in an election for the position of class representative. Students will vote based on the intensity level of Amiya’s and Ramya’s campaigns and the type of campaigns they run. Each campaign is said to have a level of 1 if it is a staid campaign and a level of 2 if it is a vigorous campaign. Campaigns can be of two types, they can either focus on issues, or on attacking the other candidate.
If Amiya and Ramya both run campaigns focusing on issues, then
• The percentage of students voting in the election will be 20 times the sum of the levels of campaigning of the two students. For example, if Amiya and Ramya both run vigorous campaigns, then $20 × (2+2)\%$, that is, $80\%$ of the students will vote in the election.
• Among voting students, the percentage of votes for each candidate will be proportional to the levels of their campaigns. For example, if Amiya runs a staid (i.e., level 1) campaign while Ramya runs a vigorous (i.e., level 2) campaign, then Amiya will receive \(\frac{1}{3}\) of the votes cast, and Ramya will receive the other \(\frac{2}{3}\).
The above-mentioned percentages change as follows if at least one of them runs a campaign attacking their opponent.
• If Amiya runs a campaign attacking Ramya and Ramya runs a campaign focusing on issues, then $10\%$ of the students who would have otherwise voted for Amiya will vote for Ramya, and another $10\%$ who would have otherwise voted for Amiya, will not vote at all.
• If Ramya runs a campaign attacking Amiya and Amiya runs a campaign focusing on issues, then $20\%$ of the students who would have otherwise voted for Ramya will vote for Amiya, and another $5\%$ who would have otherwise voted for Ramya, will not vote at all.
• If both run campaigns attacking each other, then $10\%$ of the students who would have otherwise voted for them had they run campaigns focusing on issues, will not vote at all.- CAT - 2024
- Data Interpretation & Logical Reasoning (DILR)
- Data Interpretation
- Read the Passage carefully and answer the following questions.
An air conditioner (AC) unit has three operating modes: Eco, Normal, and Turbo. The power consumption in each mode is as follows: Eco mode consumes 1000 watts, Normal mode consumes 1200 watts, and Turbo mode consumes 1500 watts. Yesterday, the AC was in operation from 2 PM to 10 PM. From 2 PM to 6 PM it ran in Eco mode. From 6 PM to 8 PM, it ran in Normal mode. From 8 PM to 10 PM it ran in Turbo mode.- CAT - 2024
- Data Interpretation & Logical Reasoning (DILR)
- Data Interpretation
- Read the Passage carefully and answer the following questions
A health food store specializing in dietary supplements and whole grains recorded the following sales figures (in kilograms) for various food categories last month: Millets (M) = 500 kg at a cost price of 40/kg and selling price of 50/kg; Protein supplements (P) = 300 kg at a cost price of 80/kg and selling price of 100/kg; Vitamin supplements (V) = 200 kg at a cost price of 60/kg and selling price of 80/kg; Carbohydrates (C) = 600 kg at a cost price of 80/kg and selling price of 100/kg; Fats (F) = 100 kg at a cost price of 120/kg and selling price of 150/kg. Additionally, they sold 50 kg of mixed nuts (N) at a cost price of 100/kg and a selling price of 130/kg- CAT - 2024
- Data Interpretation & Logical Reasoning (DILR)
- Data Interpretation
View More Questions
Questions Asked in XAT exam
- Arya, a graduate from a reputable institute, got a job in an IT company but became bored after a year. Her best friend S, who worked at the same company, joined a top-tier B-school for an MBA, which tempted Arya to pursue the same path. Her friend assured her that an MBA would boost her career prospects and salary. Arya started preparing for an MBA while continuing her job, but the challenge of balancing preparation with work made her consider leaving the job.
- XAT - 2025
- Analytical Decision Making
- There’s a community 30 km outside of the main city. Mr. S started a grocery business in the community after winning the bid by offering way above the rent initially drafted by the community council. The community council, led by Mr. D, agreed to the offer with a performance review every three years. Mr. S also agreed to provide an additional 15% of his grocery sales to the council, banking on the prospect of selling in higher volumes. After setting up his business, Mr. S noticed that SUV owners in the community usually bought goods in bulk from the city once a week and used his store primarily for daily necessities and occasional big purchases like mixer grinders.
- XAT - 2025
- Analytical Decision Making
- Four reviewers (R1, R2, R3, R4) are in charge of reviewing products from companies A, B, C, and D. Each reviewer provides a rating between 1 and 5 for the products. Due to a technical glitch, the original ratings were deleted, and only the averages calculated for each product (A, B, C, D) and each reviewer (R1, R2, R3, R4) were saved. The data available is as follows:Tasks:
A B C D Average 3 4 4 ? 4 3 ? 5 ? 4 ? 3 3 ? 4 ? ? ? ? 4.25 4 4 4 4.25
1. What are the missing values in the table?
2. How were the missing values calculated?
3.Verify the correctness of the given averages for both rows and columns. - In an 8-week course, the teacher conducts a test every week, and the scores are in the range of 1–4. There are only two students enrolled in the course, \(R\) and \(S\). The following conditions are given:
- \(R\) and \(S\) scored the same on the first test.
- From the second test onwards, \(R\) consistently scored the same (a non-zero score).
- The total of the first three test scores of \(R\) equals the total of the first two test scores of \(S\).
- From the fifth test onwards, \(S\) scored the same as \(R\).
- The scores of \(S\) from the first two tests and all the remaining tests follow a geometric progression.
- XAT - 2025
- Algebra
- A bought a phone from a store and paid \(\frac{1}{6}\) of the price using UPI, \(\frac{1}{3}\) of the price in cash, and the remaining balance a year later. He also paid 10% interest on the remaining balance after one year. What was the original price of the phone?
- XAT - 2025
- Percentage
View More Questions