1. 140 tickets were sold.
2. The number of Middle-aged visitors was twice the number of Old visitors, while the number of Young visitors was twice the number of Middle-aged visitors.
3. Young visitors bought 38 of the 55 Economy tickets that were sold, and they bought half the total number of Platinum tickets that were sold.
4. The number of Gold tickets bought by Old visitors was equal to the number of Economy tickets bought by Old visitors.
If the number of Old visitors buying Platinum tickets was equal to the number of Middle-aged visitors buying Platinum tickets, then which among the following could be the total number of Platinum tickets sold?
- 34
- 38
- 32
- 36
The Correct Option is C
Solution and Explanation
The correct answer is (C):
Number of young visitors = 2 x number of middle age visitors
Number of middle age visitors = 2 x number of old visitors
Total number of tickets sold = total number of visitors = 140
Hence, the number of young visitors = 80, the number of middle age visitors = 40 and the number of old visitors = 20
The given data can be tabulated as follows.
Since half of the platinum tickets were purchased by young visitors, the remaining half were purchased by old and middle age visitors. Since these two are equal, half of total number of platinum tickets should be an even number. Among the given values, this is possible only for 32 and 36.
In case of 36, Old- Platinum = 9. In that case 2a = 11. But this is not possible. Hence, the total number of platinum tickets sold can only be 32.
Ans : 32
If the number of Old visitors buying Platinum tickets was equal to the number of Middle-aged visitors buying Economy tickets, then the number of Old visitors buying Gold tickets was
Correct Answer: 3
Solution and Explanation
Number of young visitors = 2 x number of middle age visitors
Number of middle age visitors = 2 x number of old visitors
Total number of tickets sold = total number of visitors = 140
Hence, the number of young visitors = 80, the number of middle age visitors = 40 and the number of old visitors = 20
The given data can be tabulated as follows.
Let Old – platinum = Middle aged – Economy = x
We get x + 2a = 20 and a + x + 38 = 55
By solving these two equations we get x = 3.
Ans : 3
If the number of Old visitors buying Gold tickets was strictly greater than the number of Young visitors buying Gold tickets, then the number of Middle-aged visitors buying Gold tickets was
Correct Answer: 0
Solution and Explanation
Number of young visitors = 2 x number of middle age visitors
Number of middle age visitors = 2 x number of old visitors
Total number of tickets sold = total number of visitors = 140
Hence, the number of young visitors = 80, the number of middle age visitors = 40 and the number of old visitors = 20
The given data can be tabulated as follows.
If the number of Old visitors buying Gold tickets was strictly greater than the number of Young visitors buying Gold tickets, then the number of Middle-aged visitors buying Gold tickets was
The maximum possible value of Young - gold = x – 1
Then young – platinum = 80 – (38 + x – 1) = 43 – x
Hence, Old – platinum + Middle age – Platinum = 43 – x
Total old + Middle age = 60
(Old – platinum + Middle age – platinum) + (Old – gold + Middle age – gold ) + (Old – economy + Middle age – economy) = 60
Hence, Old – gold + Middle age – gold = x
Thus, Middle age – gold = 0
Ans : Zero
Which of the following statements MUST be FALSE?
- The numbers of Old and Middle-aged visitors buying Economy tickets were equal
- The numbers of Old and Middle-aged visitors buying Platinum tickets were equal
- The numbers of Middle-aged and Young visitors buying Gold tickets were equal
- The numbers of Gold and Platinum tickets bought by Young visitors were equal
The Correct Option is A
Solution and Explanation
The correct answer is (A):
Number of young visitors = 2 x number of middle age visitors
Number of middle age visitors = 2 x number of old visitors
Total number of tickets sold = total number of visitors = 140
Hence, the number of young visitors = 80, the number of middle age visitors = 40 and the number of old visitors = 20
The given data can be tabulated as follows.
Since Old – Economy + Middle age – economy = 17, these two can never be equal. Hence, the statement that “The numbers of Old and Middle-aged visitors buying Economy tickets were equal” is false.
Ans : “The numbers of Old and Middle-aged visitors buying Economy tickets were equal”
Top Questions on Data Analysis
- The figure below shows a network with three parallel roads represented by horizontal lines R-A, R-B, and R-C and another three parallel roads represented by vertical lines V1, V2, and V3. The figure also shows the distance (in km) between two adjacent intersections. Six ATMs are placed at six of the nine road intersections. Each ATM has a distinct integer cash requirement (in Rs. Lakhs), and the numbers at the end of each line in the figure indicate the total cash requirements of all ATMs placed on the corresponding road. For example, the total cash requirement of the ATM(s) placed on road R-A is Rs. 22 Lakhs.
The following additional information is known.
The ATMs with the minimum and maximum cash requirements of Rs. 7 Lakhs and Rs. 15 Lakhs are placed on the same road.
The road distance between the ATM with the second highest cash requirement and the ATM located at the intersection of R-C and V3 is 12 km.
- The two plots below give the following information about six firms A, B, C, D, E, and F for 2019 and 2023.
PAT: The firm’s profits after taxes in Rs. crores,
ES: The firm’s employee strength, that is the number of employees in the firm, and PRD: The percentage of the firm’s PAT that they spend on Research and Development (R&D).
In the plots, the horizontal and vertical coordinates of point representing each firm gives their ES and PAT values respectively. The PRD values of each firm are proportional to the areas around the points representing each firm. The areas are comparable between the two plots, i.e., equal areas in the two plots represent the same PRD values for the two years.
- The numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10 are placed in ten slots of the following grid based on the conditions below
1. Numbers in any row appear in an increasing order from left to right.
2. Numbers in any column appear in a decreasing order from top to bottom.
3. 1 is placed either in the same row or in the same column as 10.
4. Neither 2 nor 3 is placed in the same row or in the same column as 10.
5. Neither 7 nor 8 is placed in the same row or in the same column as 9.
6. 4 and 6 are placed in the same row. - Eight gymnastics players numbered 1 through 8 underwent a training camp where they were coached by three coaches - Xena, Yuki, and Zara. Each coach trained at least two players. Yuki trained only even numbered players, while Zara trained only odd numbered players. After the camp, the coaches evaluated the players and gave integer ratings to the respective players trained by them on a scale of 1 to 7, with 1 being the lowest rating and 7 the highest.
The following additional information is known.
1. Xena trained more players than Yuki.
2. Player-1 and Player-4 were trained by the same coach, while the coaches who trained Player-2, Player-3 and Player-5 were all different.
3. Player-5 and Player-7 were trained by the same coach and got the same rating. All other players got a unique rating.
4. The average of the ratings of all the players was 4.
5. Player-2 got the highest rating.
6. The average of the ratings of the players trained by Yuki was twice that of the players trained by Xena and two more than that of the players trained by Zara.
7. Player-4's rating was double of Player-8's and less than Player-5's. - The chart below shows the price data for seven shares – A, B, C, D, E, F, and G as a candlestick plot for a particular day. The vertical axis shows the price of the share in rupees. A share whose closing price (price at the end of the day) is more than its opening price (price at the start of the day) is called a bullish share; otherwise, it is called a bearish share. All bullish and bearish shares are shown in green and red colour respectively.
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