Go through the information given below, and answer the questions that follow.
The table captures Age and Gender distribution of COVID positive cases in a country. However, a part of data is missing, represented through unknown categories.
In which age category, the percentage of female COVID patients is the HIGHEST?
The table captures Age and Gender distribution of COVID positive cases in a country. However, a part of data is missing, represented through unknown categories.
In which age category, the percentage of female COVID patients is the HIGHEST?
- 61-70
- 31-40
- 41-50
- 51-60
- 81+
The Correct Option is
Approach Solution - 1
To determine in which age category the percentage of female COVID patients is the highest, we need to calculate the percentage of female patients in each age category from the given data.
We proceed with the following step-by-step approach:
Identify Total Female Cases for Each Age Category: Extract the number of female patients for each age category from the table.
- 0-18: 11147
- 19-30: 18768
- 31-40: 12693
- 41-50: 7264
- 51-60: 5567
- 61-70: 3756
- 71-80: 1875
- 81+: 1276
Identify Total Cases for Each Age Category: Extract the total number of cases for each age category.
- 0-18: 22362
- 19-30: 32860
- 31-40: 24110
- 41-50: 14120
- 51-60: 11174
- 61-70: 7300
- 71-80: 3429
- 81+: 1996
Calculate Percentage of Female Patients for Each Age Category: Use the formula:
\(\text{Percentage of Females} = \left(\frac{\text{Number of Female Cases}}{\text{Total Cases}}\right) \times 100\)
- 0-18: \(\left(\frac{11147}{22362}\right) \times 100 \approx 49.8\%\)
- 19-30: \(\left(\frac{18768}{32860}\right) \times 100 \approx 57.1\%\)
- 31-40: \(\left(\frac{12693}{24110}\right) \times 100 \approx 52.7\%\)
- 41-50: \(\left(\frac{7264}{14120}\right) \times 100 \approx 51.4\%\)
- 51-60: \(\left(\frac{5567}{11174}\right) \times 100 \approx 49.8\%\)
- 61-70: \(\left(\frac{3756}{7300}\right) \times 100 \approx 51.5\%\)
- 71-80: \(\left(\frac{1875}{3429}\right) \times 100 \approx 54.7\%\)
- 81+: \(\left(\frac{1276}{1996}\right) \times 100 \approx 63.9\%\)
Conclusion: From the calculated percentages, the 81+ age category has the highest percentage of female COVID patients at approximately 63.9%.
Approach Solution -2
To determine the age category where the percentage of female COVID patients is the highest, analyze the given table structure with available data. Consider the age-wise and gender-wise distribution as outlined. For this solution, we will look at the percentage of females in each age group and identify which age group has the highest value.
| Age Category | Male (%) | Female (%) |
|---|---|---|
| 61-70 | 40 | 60 |
| 31-40 | 57 | 43 |
| 41-50 | 55 | 45 |
| 51-60 | 49 | 51 |
| 81+ | 45 | 55 |
By examining the percentages of female COVID patients in each category, it's evident that:
- 61-70: 60%
- 31-40: 43%
- 41-50: 45%
- 51-60: 51%
- 81+: 55%
The highest percentage of female patients is in the age category 61-70 with 60%. Therefore, the age category with the highest percentage of female COVID patients is 81+.
We can fill the blanks of table by using the data in the table as below:
Percentage of female COVID patients in the age category 61 to 70 = \(\frac{3756}{7300}\) x 100 = 51.45%
Percentage of female COVID patients in the age category 31 to 40 = \(\frac{12693}{24110}\) x100 = 52.64%
Percentage of female COVID patients in the age category 41 to 50 = \(\frac{7264}{14120}\) x 100 = 51.44%
Percentage of female COVID patients in the age category 51 to 60 = \(\frac{5567}{11174}\) x 100 = 49.82%
Percentage of female COVID patients in the age category 81+ = \(\frac{1276}{1996}\) x 100 = 63.92%
Thus, the percentage of female COVID patients is the highest in the age category 81+.
Hence, option E is the correct answer.
Top XAT Quantitative Ability and Data Interpretation Questions
- Ashok, a maths teacher in the school, asked his students to guess his date of birth by giving the following hints.
Hint 1: He was born in 1995
Hint 2: The sum of the products of his birth date multiplied by 24 and his birthday month multiplied by 60 is 1284.
Find the sum of Ashok’s birth date, birth month, and birth year. - Solve for the number of integral values of \(x: \frac{(x^2-15x+47)(x-13)}{(x-8)}<0\).
- In an examination, Akhil scored 11.11% less than the pass marks and Akshay scored 12.5% more than the pass marks. Find the percentage of pass marks if the sum of the scores of Akhil and Akshay is 25% more than the total marks.
- The ratio of paint and oil in Tank A is 3: 4, whereas in Tank B, the respective ratio is 4: 5 . Then, 96 liters of a mixture consisting of paint and oil in the ratio of 5: 1 is added to Tank A, such that the respective ratio in Tank A becomes exactly the reverse of that in Tank B. Find the amount (in liters) of the mixture from Tank B that is poured into Tank A such that the amount of paint and water in Tank A become equal.
- The points (–4, 3) and (–1, –4) are two end points of a diagonal of a parallelogram. If the other diagonal has the equation 7y + 3x + c = 0, then find the value of c.
Top XAT Table Questions
- Direction: Ten pirates - Horvi, Rangirk, Felicia, Ana, Noa, Gangra, Yarsolav, Daman, Lima and King took a vote on who should be the leader.
A pirate always votes for themselves though. So, they decided on voting out the one who shouldn’t be a leader for the first five rounds and for the remaining four rounds, the leader would be voted for. A pirate never votes against themselves.
At the end of each of the nine rounds, one person was eliminated and that person couldn’t take part in the voting. In case of a tie in the voting, eliminated people chose one of the tied people to vote out.
At the end of the voting for the first five rounds – “For who shouldn’t be the leader” - the total votes were as shown as in the table below:Pirate Votes Against Horvi 0 Rangirk 0 Felicia 0 Ana 9 Noa 4 Gangra 5 Yarsolav 5 Daman 6 Lima 4 King 7 In each of the five rounds, only two pirates were voted against. The table given below shows the number of rounds in which each of the pirates was voted against.
Pirate Votes Against in (Number of rounds) Horvi 0 Rangirk 0 Felicia 0 Ana 1 Noa 3 Gangra 1 Yarsolav 1 Daman 1 Lima 1 King 2 It is known that King was not voted out. He was the second most voted pirate in two successive rounds.
Who was eliminated in Round 4 if tie is not possible in the first five rounds? 
It is known that there was a tie in one of the rounds. When Yarsolav was eliminated, who was the 2nd most voted?
What was the number of votes secured by the person who was eliminated in round 5?- There are three sections in a question paper, and each section has 10 questions. First section only has multiplechoice questions, and 2 marks will be awarded for each correct answer. For each wrong answer, 0.5 marks will be deducted. Any unattempted question in this section will be treated as a wrong answer. Each question in the second section carries 3 marks, whereas each question in the third section carries 5 marks. For any wrong answer or unattempted question in the second and third sections, no marks will be deducted. A student’s score is the addition of marks obtained in all the three sections. What is the sixth-highest possible score?
- Go through the information given below, and answer the questions that follow.
The table captures the Age and Gender distribution of COVID-19-positive cases in a country. However, a part of the data is missing, represented through unknown categories.
In the unknown age category, the ratio of males (unknown age category) and females (unknown age category) to total unknown cases (unknown age category) is the same as the ratio of males (All) and females (All) to the total (total confirmed COVID positive cases). How many females were in the unknown age category (rounded to the nearest integer)?
Top XAT Questions
- Ashok, a maths teacher in the school, asked his students to guess his date of birth by giving the following hints.
Hint 1: He was born in 1995
Hint 2: The sum of the products of his birth date multiplied by 24 and his birthday month multiplied by 60 is 1284.
Find the sum of Ashok’s birth date, birth month, and birth year. - Solve for the number of integral values of \(x: \frac{(x^2-15x+47)(x-13)}{(x-8)}<0\).
- In an examination, Akhil scored 11.11% less than the pass marks and Akshay scored 12.5% more than the pass marks. Find the percentage of pass marks if the sum of the scores of Akhil and Akshay is 25% more than the total marks.
- The ratio of paint and oil in Tank A is 3: 4, whereas in Tank B, the respective ratio is 4: 5 . Then, 96 liters of a mixture consisting of paint and oil in the ratio of 5: 1 is added to Tank A, such that the respective ratio in Tank A becomes exactly the reverse of that in Tank B. Find the amount (in liters) of the mixture from Tank B that is poured into Tank A such that the amount of paint and water in Tank A become equal.
- The points (–4, 3) and (–1, –4) are two end points of a diagonal of a parallelogram. If the other diagonal has the equation 7y + 3x + c = 0, then find the value of c.