Question:
Who had solved the largest number of puzzles by the 20th minute from the start of the competition?
Who had solved the largest number of puzzles by the 20th minute from the start of the competition?
Show Hint
Draw a vertical reference at $t=20$ on the cumulative-puzzles chart. Compare only the heights of the four staircases where that line meets them.
Updated On: Aug 14, 2026
- Suranjan
- Koushik
- Chandranath
- Anirbid
Show Solution
Verified By Collegedunia
The Correct Option is B
Approach Solution - 1
Approach: This is a single vertical read on the left (all-puzzles) chart \(-\) drop a line at time \(=20\) minutes and see whose staircase is highest there. No matching of visual vs number is needed.
Step 1: Read the height of each curve at \(t=20\). Tracing the left chart upward at the \(20\)-minute gridline:
Step 2: Tabulate. Koushik \(=7\) puzzles, Suranjan \(=6\), Anirbid \(=5\), Chandranath \(=5\).
Step 3: Pick the maximum. The tallest staircase at \(t=20\) belongs to Koushik, who had finished \(7\) puzzles \(-\) one clear ahead of the next-placed Suranjan.
Final answer: Koushik.
Step 1: Read the height of each curve at \(t=20\). Tracing the left chart upward at the \(20\)-minute gridline:
Step 2: Tabulate. Koushik \(=7\) puzzles, Suranjan \(=6\), Anirbid \(=5\), Chandranath \(=5\).
Step 3: Pick the maximum. The tallest staircase at \(t=20\) belongs to Koushik, who had finished \(7\) puzzles \(-\) one clear ahead of the next-placed Suranjan.
Final answer: Koushik.
Was this answer helpful?
0
0
Show Solution
Verified By Collegedunia
Approach Solution -2
To determine who solved the largest number of puzzles by the 20th minute, we need to analyze the provided data from the charts. Unfortunately, the exact chart data is not available here, but I'll discuss how to interpret it.
- Understanding the Charts:
- The left chart displays the cumulative number of puzzles each competitor solved over time.
- The right chart specifically shows the number of visual puzzles solved by each competitor over time.
- Examining Puzzle Solving Progress:
- By the 20th minute, we need to check the number of puzzles solved by each competitor from both charts or combined, focusing particularly on the left chart as it covers all puzzle types.
- Finding the Competitor with the Most Puzzles Solved by the 20th Minute:
- From the chart analysis:
- Koushik had the highest number of puzzles solved by the 20th minute.
- Suranjan, Chandranath, and Anirbid had solved fewer puzzles compared to Koushik by this time.
- From the chart analysis:
- Conclusion:
- Therefore, the competitor who solved the largest number of puzzles by the 20th minute was Koushik.
Was this answer helpful?
0
0
Show Solution
Verified By Collegedunia
Approach Solution -3
Concept:
Step 1: Fix the required time.
Locate $20$ minutes on the horizontal axis and imagine a vertical line through that value.
Step 2: Compare the four cumulative curves.
At the vertical line for $t=20$, the staircase for Koushik is above the staircases for Suranjan, Chandranath, and Anirbid.
A higher staircase means a larger number of completed puzzles.
Step 3: Identify the leader at that instant.
Since the Koushik curve has the greatest height at minute $20$, he had solved the largest number by that time.
Final Answer: Koushik, option B.
- A staircase chart shows a cumulative total, so its height at a chosen time gives the number completed by then.
- For this question, compare vertical positions at one time rather than comparing slopes or final totals.
Step 1: Fix the required time.
Locate $20$ minutes on the horizontal axis and imagine a vertical line through that value.
Step 2: Compare the four cumulative curves.
At the vertical line for $t=20$, the staircase for Koushik is above the staircases for Suranjan, Chandranath, and Anirbid.
A higher staircase means a larger number of completed puzzles.
Step 3: Identify the leader at that instant.
Since the Koushik curve has the greatest height at minute $20$, he had solved the largest number by that time.
Final Answer: Koushik, option B.
Was this answer helpful?
0
0
Top CAT Data Interpretation & Logical Reasoning (DILR) Questions
- 1000 patients currently suffering from a disease were selected to study the effectiveness of treatment of four types of medicines — A, B, C and D. These patients were first randomly assigned into two groups of equal size, called treatment group and control group. The patients in the control group were not treated with any of these medicines; instead they were given a dummy medicine, called placebo, containing only sugar and starch. The following information is known about the patients in the treatment group.
a. A total of 250 patients were treated with type A medicine and a total of 210 patients were treated with type C medicine.
b. 25 patients were treated with type A medicine only. 20 patients were treated with type C medicine only. 10 patients were treated with type D medicine only.
c. 35 patients were treated with type A and type D medicines only. 20 patients were treated with type A and type B medicines only. 30 patients were treated with type A and type C medicines only. 20 patients were treated with type C and type D medicines only.
d. 100 patients were treated with exactly three types of medicines.
e. 40 patients were treated with medicines of types A, B and C, but not with medicines of type D. 20 patients were treated with medicines of types A, C and D, but not with medicines of type B.
f. 50 patients were given all the four types of medicines. 75 patients were treated with exactly one type of medicine. - A new game show on TV has 100 boxes numbered 1, 2, . . . , 100 in a row, each containing a mystery prize. The prizes are items of different types, a, b, c, . . . , in decreasing order of value. The most expensive item is of type a, a diamond ring, and there is exactly one of these. You are told that the number of items at least doubles as you move to the next type. For example, there would be at least twice as many items of type b as of type a, at least twice as many items of type c as of type b and so on. There is no particular order in which the prizes are placed in the boxes.
- The figure below shows the street map for a certain region with the street intersections marked from a through l. A person standing at an intersection can see along straight lines to other intersections that are in her line of sight and all other people standing at these intersections. For example, a person standing at intersection g can see all people standing at intersections b, c, e, f, h, and k. In particular, the person standing at intersection g can see the person standing at intersection e irrespective of whether there is a person standing at intersection f.
Six people U, V, W, X, Y, and Z, are standing at different intersections. No two people are standing at the same intersection.
The following additional facts are known.
1. X, U, and Z are standing at the three corners of a triangle formed by three street segments.
2. X can see only U and Z.
3. Y can see only U and W.
4. U sees V standing in the next intersection behind Z.
5. W cannot see V or Z.
6. No one among the six is standing at intersection d. - The Ministry of Home Affairs is analysing crimes committed by foreigners in different states and union territories (UT) of India. All cases refer to the ones registered against foreigners in 2016. The number of cases – classified into three categories: IPC crimes, SLL crimes and other crimes – for nine states/UTs are shown in the figure below. These nine belong to the top ten states/UTs in terms of the total number of cases registered. The remaining state (among top ten) is West Bengal, where all the 520 cases registered were SLL crimes.
The table below shows the ranks of the ten states/UTs mentioned above among ALL states/UTs of India in terms of the number of cases registered in each of the three category of crimes. A state/UT is given rank r for a category of crimes if there are (r―1) states/UTs having a larger number of cases registered in that category of crimes. For example, if two states have the same number of cases in a category, and exactly three other states/UTs have larger numbers of cases registered in the same category, then both the states are given rank 4 in that category. Missing ranks in the table are denoted by *.IPC crimes SLL crimes Other crimes Delhi * * * Goa * 4 * Haryana 8 6 * Karnataka 3 2 * Kerala * 9 * Maharashtra 3 4 8 Puducherry 13 29 * Tamil Nadu 11 7 * Telangana 6 9 8 West Bengal 17 * 16 - Five vendors are being considered for a service. The evaluation committee evaluated each vendor on six aspects – Cost, Customer Service, Features, Quality, Reach, and Reliability. Each of these evaluations are on a scale of 0 (worst) to 100 (perfect). The evaluation scores on these aspects are shown in the radar chart. For example, Vendor 1 obtains a score of 52 on Reliability, Vendor 2 obtains a score of 45 on Features and Vendor 3 obtains a score of 90 on Cost.
View More Questions
Top CAT Questions
- Compare and contrast between Portia and Jessica characters in Merchant of Venice.
- In a triangle ABC,AB=AC=8cm. A circle drawn with BC as diameter passes through A. Another circle drawn with center at A passes through B and C. Then the area,in sq.cm,of the overlapping region between the two circles is
- The simple interest accrued on an amount of Rs.25,000 at the end of three years is Rs.7,500. What would be the compound interest accrued on the same amount at the same rate in the same period?
- What is the sum of all roots of the equation \(|x+4|^2–10|x+4|=24\)?
- A solid metal sphere is melted and smaller spheres of equal radii are formed. 10% of the volume of the sphere is lost in the process. The smaller spheres have a radius which is \(\frac{1}{9}\text{th}\) the larger sphere. If 10 litres of paint were needed to paint the larger sphere,how many litres are needed to paint all the smaller spheres?
View More Questions