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Time Speed Distance Race Questions & Solutions For CAT Exam | Day 33
Edited By Irshad Anwar | Updated on Sep 19, 2024 01:59 PM IST | #CAT
As the CAT 2024 exam date approaches, the pressure is high on every CAT aspirant. On November 24, the CAT exam 2024 for MBA admissions 2025–2027 will take place. Today, in this CAT 2024 60-day preparation guide series of Careers360, we will discuss the strategies for day 33 that can help you prepare well and crack the CAT entrance test 2024.
This article includes time, speed, and distance race questions, linear race questions for the CAT exam, an introduction to Venn Diagram and Verbal analogies questions. Time, Speed and Distance race questions are tricky and students should do a thorough revision for the same. CAT Preparation 2024 in 60 days
Part-1: Quantitative Aptitude for CAT exam
CAT Exam Important Topic: Strategy to Prepare “Time, Speed and Distance (Linear Races and Circular Races) and time speed distance race questions.
Students can also download time speed and distance questions for cat pdf
Important Concept/Formula Used/Tricks in Linear and Circular Races Concept for CAT exam & Time speed distance race questions
Linear Races for CAT entrance exam:
- A gives B a head start of x metre: it means at the start of the race B is x metre ahead of A.
- A gives B a start of t seconds: It means A start the race after t second of B.
- A beats B by x metres: A finishes the race before x metres than B.
- A beats B t seconds: A finishes race t seconds before B.
- Dead heat: All finish the race at the same time and at the same point.
CAT 2025: VARC, DILR, and Quant MCQs & Weightages
Comprehensive CAT prep guide with focused practice on Verbal Ability, Data Interpretation & Logical Reasoning, and Quantitative Aptitude.
Download Now2. Circular Races for CAT 2024:
Circular Track formulas-
The questions asked in this concept are as follows:
When do the two participants (speeds x and y) meet first anywhere on the track (length of the track is L)?
- Races problems shortcuts Trick: L/(x-y), when both are moving in the same direction.
- L/(x+y), when both are moving in the opposite direction.
How many times do the participants meet?
- Races problems shortcuts Trick: (x-y), when both are moving in the same direction.
- (x+y), when both are moving in the opposite direction.
- Here, x: y should be in its simplest form
When do they first time meet at the starting point or ending point?
Circular Race questions shortcuts Trick: LCM (L/x, L/y)
3. Practice Sample papers and CAT Previous year questions.
Previous Year CAT Questions On Time, Speed Distance (Linear and Circular Races):
Q1. Mira and Amal walk along a circular track, starting from the same point at the same time. If they walk in the same direction, then in 45 minutes, Amal completes exactly 3 more rounds than Mira. If they walk in opposite directions, then they meet for the first time in exactly after 3 minutes. The number of rounds Mira walks in one hour is [TITA, CAT 2021, Slot 3]
Linear Races Questions for CAT Exam With Solution: Answer is 8.
Let Amal complete 1 round in x minutes and Mira complete the same in y minutes.
Since, Amal completes exactly 3 more rounds than Mira
So, 45/x – 45/y = 3
1/x−1/y = 1/15— (1)
If they walk in opposite directions, then they meet for the first time exactly after 3 minutes. It means, in 3 minutes, Amal and Mira together complete one round.
Therefore,
3/x+ 3/y= 1 — (2)
On solving both equations, we get y = 15/2
So, Meera requires 15/2 minutes to complete 1 round and hence will complete 8 rounds in an hour.
Circular Race Questions and Linear Races Questions for CAT Exam
Q2. In a car race, car A beats car B by 45 km, car B beats car C by 50 km, and car A beats car C by 90 km. The distance (in km) over which the race has been conducted is [CAT 2020, slot 2]
- 550
- 475
- 500
- 450
Time speed distance race questions with Solution: [4]
car A beats car B by 45 km
SA: SB = x/(x-45)
car B beats car C by 50 km
SB: SC = x/(x-50)
car A beats car C by 90 km
SA: SC = x/(x-90)
Also,
SA/ SC = (SA/ SB) x (SB/ SC)
So, x/(x-90) = [x/(x-45)] [ x/(x-50)]
On solving, we get x = 450 Kms.
Pre-requisite for time speed distance race questions
CAT study material: References to Study (Theory)
- How to Prepare for Quantitative Aptitude for CAT by Arun Sharma (7th Edition; Pg No 335 to 339)
- CAT Funda (YouTube, Link: https://www.youtube.com/watch?v=DgrnxHUDAqo)
References to Practice time speed distance race questions
- Quantitative Aptitude for the CAT – Sarvesh Verma.
- 2IIM (YouTube, (Link: https://www.youtube.com/watch?v=7DUDv6hdMSA )
- CAT Sample Papers and previous years questions
Part 2: CAT 2024 Preparation Tips: CAT DILR tips (Logical Reasoning and Data Interpretation)
CAT 2024 Syllabus Topic: Previous Year CAT questions for Venn Diagram” (Part-1) and Venn Diagram Questions
CAT Exam 2024: Important Venn Diagram Concepts
Start with Universal (A rectangle), Then a circle represents each set of values in the problem.
Where the circles overlap, the value belongs to more than one set.
CAT Exam:
CAT Past Year Venn Diagram Questions:
Q1. Each of the 74 students in a class studies at least one of the three subjects H, E and P. Ten students study all three subjects, while twenty study H and E, but not P. Every student who studies P also studies H or E or both. If the number of students studying H equals that studying E, then the number of students studying H is [CAT 2018]
Venn Diagram Questions for CAT:
According to information given in the question
According to given information:
a+ b+ c+ d+ 10 + 20 = 72
⇒ a+ b+ c+ d= 42
Also, a+ c+ 20 + 10 = b+ d+ 10+ 20
⇒ a+ c = b+ d
From above two equations;
2 (a+ c) = 42
⇒ a+ c = 21
Therefore, number of students studying H = a+ c+ 20 + 10 = 21+ 20+ 10 = 51.
CAT entrance exam: Prerequisite to Venn Diagram CAT Questions
- Set Theory
- Solving Linear Equations
Tips and Tricks for CAT
- A thorough study of the basics of Venn Diagram .
- Understand representations and Venn diagram formulas for 2-set, 3-set or 4- set Venn diagrams.
- Practice CAT questions on Set theory and the Venn diagram.
CAT syllabus 2024: References to Study (Theory) Venn Diagram Concepts
- Verbal and Non-Verbal Reasoning by B S Sijwali
- CAT LRDI by Arun Sharma
- Mission CAT (YouTube link: https://www.youtube.com/watch?v=HF2sY7ZBDcs)
- CAT Exam
References to Study (Practice) Venn Diagram Questions
- Verbal and Non-Verbal Reasoning by R S Agrawal.
- CAT Previous year Papers and Sample Papers.
- (YouTube; Link: https://www.youtube.com/watch?v=knClqCBHTsA)
Part-3: CAT Exam Preparation 2024: CAT exam tips for VARC (Verbal Ability & Reading Comprehension)
CAT Exam Important Topic: Strategy to Prepare “Verbal Analogies”.
CAT Important Concepts
These pairs of words share some kind of relationship that must be deciphered.
Amongst four pairs, a pair of words share the same relationship with its pair as the pair given in the question.
CAT Previous Years' Questions on Verbal Analogies
Comprehension:
During the frigid season... it's often necessary to nestle under a blanket to try to stay warm. The temperature difference between the blanket and the air outside is so palpable that we often have trouble leaving our warm refuge. Many plants and animals similarly hunker down, relying on snow cover for safety from winter's harsh conditions. The small area between the snowpack and the ground called the subnivium... might be the most important ecosystem that you have never heard of.
The subnivium is so well-insulated and stable than its temperature holds steady at around 32 degrees Fahrenheit (0 degree Celsius). Although that might still sound cold, a constant temperature of 32 degrees Fahrenheit can often be 30 to 40 degrees warmer than the air temperature during the peak of winter. Because of this large temperature difference, a wide variety of species...depend on the subnivium for winter protection.
For many organisms living in temperate and Arctic regions, the difference between being under the snow or outside is a matter of life and death. Consequently, disruptions to the subnivium brought about by climate change will affect everything from population dynamics to nutrient cycling through the ecosystem.
The formation and stability of the subnivium require more than a few flurries. Winter ecologists have suggested that eight inches of snow are necessary to develop a stable layer of insulation. Depth is not the only factor, however. More accurately, the stability of the subnivium depends on the interaction between snow depth and snow density. Imagine being under a stack of blankets that are all flattened and pressed together. When compressed, the blankets essentially form one compacted layer. In contrast, when they are lightly placed on top of one another, their insulative capacity increases because the air pockets between them trap heat. Greater depths of low-density snow are therefore better at insulating the ground.
Both the depth and density of snow are sensitive to temperature. Scientists are now beginning to explore how climate change will affect the subnivium, as well as the species that depend on it. At first glance, warmer winters seem beneficial for species that have difficulty surviving subzero temperatures; however, as with most ecological phenomena, the consequences are not so straightforward. Research has shown that the snow season (the period when snow is more likely than rain) has become shorter since l970. When rain falls on snow, it increases the density of the snow and reduces its insulative capacity. Therefore, even though winters are expected to become warmer overall from future climate change, the subnivium will tend to become colder and more variable with less protection from the above-ground temperatures.
The effects of a colder subnivium are complex... For example, shrubs such as crowberry and alpine azalea that grow along the forest floor tend to block the wind and so retain higher depths of snow around them. This captured snow helps to keep soils insulated and in turn, increases plant decomposition and nutrient release. In field experiments, researchers removed a portion. of the snow cover to investigate the importance of the subnivium's insulation. They found that soil frost in the snow-free area resulted in damage to plant roots and sometimes even the death of the plant. [CAT 2017]
Verbal Analogies questions with solution
Q1: In paragraph 1, the author uses blankets as a device to
evoke the bitter cold of winter in the minds of readers.
explain how blankets work to keep us warm.
draw an analogy between blankets and the snowpack.
alert readers to the fatal effects of excessive exposure to the cold
Ans: [C]
From the 3rd and 4th paragraphs,
draw an analogy between blankets and the snow peaks
CAT 2024:
Prerequisite
- Synonyms/ Antonyms
- Vocabulary
Tips and Tricks for CAT Exam
- Analogies are simple and fall into neat, distinguishable patterns. Understand these patterns quickly.
- Practice analogies to get familiar with the patterns. This will help to identify the relations.
- While solving an analogy question, look for the precise relationship.
- Analogies involve exactness and precision in their solving.
- It is also important to substitute the pair of words into sentences in the same order as they are given in. For example, “painter creates a painting” is correct and “a painting created by a painter” is incorrect and vice-versa.
CAT exam: References to Study (Theory)
- How to Prepare for Verbal Ability and Reading Comprehension for the CAT by Arun Sharma and Meenakshi Upadhyay
- Wren and Martin
- https://www.youtube.com/watch?v=_WH6WQrtTJw
CAT exam: References to Study (Practice)
- Mastering the Verbal Ability for CAT by Ajay
- CAT Previous years Papers and Sample Papers.
Free PDFs for CAT Preparation 2024
CAT 2023 Official Question Paper and Answer Key (Slot 1) | CAT 2023 Official Question Paper and Answer Key (Slot 3) |
Practice and remain focused; Day 34 will be posted tomorrow.
Thank you! All the Best!
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Questions related to CAT
Have a question related to CAT ?
Hi aspirant,
- In general, PUMBA (Pune University's Department of Management Sciences) requires a higher CAT percentile, usually between 94 and 96.
- Nevertheless, final selection is based on a comprehensive process that includes your CAT score (which usually carries 50% weightage), performance in the Group Discussion (GD) and Personal Interview (PI) rounds (30% weightage), academic record (10% weightage), and work experience (10% weightage).
- Even though your CAT score is strong, a strong performance in the subsequent selection rounds will be essential for admission.
- It is recommended to contact the institution directly for latest and up-to-date information.
You can refer to the link attached above for more information on the same.
All the best!
Rajeswari Dey 27 May,2025
Hi aspirant,
- Vadodara is an MHT CET exam center located outside of Maharashtra .
- This makes it easier for Gujarati applicants to take the exam.
- When completing your MHT CET application form, you will have the option of selecting your chosen exam centers , including those situated outside of Maharashtra.
You can refer to the link given above for more information on the same.
All the best!
Rajeswari Dey 25 May,2025
Hello dear,
The CAT exam requires a significant amount of time for preparation, including brushing up on basic concepts and practicing advanced problem-solving. Starting too early can feel overwhelming and may not be sustainable with other academic commitments.
The CAT exam requires a level of focus and maturity that is not always present in class 9. Starting preparation at this stage can be challenging to maintain. At class 9, you're primarily focused on learning foundational concepts. So you just need to boost your fundamentals by practicing more and more at class 9 because the Quantitative Aptitude section of CAT syllabus includes all the topics of Mathematics from Class 9 to 10 such as Arithmetic, Geometry, Algebra, Trigonometry and Mensuration.
Start Preparation 12 Months Prior:
- Begin your CAT preparation around 12 months before the exam date.
- Dedicate 5 to 6 hours daily for studying, focusing on smart work rather than just hard work.
Identify Weak Sections:
- Recognize your weak section at the start of your preparation.
- Allocate more time and attention to improving your weak areas while maintaining practice in all sections
I hope you got your answer, That's all Thank you.
Rajeswari 22 May,2025
IIFT CAT Cutoff 2024
IIFT Delhi
General: 95–98 percentile
OBC: 90+
SC: 85–95
ST/PwD: 75–93
IIFT Kolkata
General: 85–95 percentile
OBC/SC/ST: 50–95 (varies)
Note: Final selection also includes WAT, GD, PI, academics, and work experience.
harsh singh 21 May,2025
To prepare for CDS, CGL, and CAT during graduation, create a clear study schedule focusing on basics, reasoning, and aptitude. Practice daily mocks, improve time management, and stay consistent. Balance college and preparation with discipline and regular revision.
Sujal Singh 20 May,2025
Popular CAT Questions
Directions for question :
M/s Deloitte Touche Tohmatsu Limited, one of the top four audit and accounting firms in the world with headquarters at London, UK, and with an operational presence in 153 countries, hires Management Trainees (MT) from all the premier management institutes of India thrice every year, in the months of January, May and September.
Each new group of Management Trainees (MT) have to go through a four month rigorous training schedule, after which they have to pass through a test consisting of a written assessment and a case-analysis. The top hundred ranked Management Trainees (MT) based on the performance in the test are confirmed as Management Executives (ME). The rest are given the opportunity of undergoing the training for four months one more time along with the next batch of Management Trainees (MT) and then passing through the subsequent test consisting of the written assessment and case-analysis. The Management Trainee (MT) who fails to get confirmed as a Management Executive (ME) the second time is fired.
The scatter-graph below depicts the number of Management Trainees (MT) at Deloitte taking the tests from January 2020 till May 2022, and the vis-à-vis hired Management Trainees (MT) at Deloitte who were fired :
It is also known that for the month of September 2019 at Deloitte, 96 hired Management Trainees (MT) failed to be confirmed as a Management Executive (ME) the first time, and that 36 hired Management Trainees (MT) were fired.
Question :
In which test did the minimum number of Management Trainees (MT) get confirmed as a Management Executive (ME) in the second attempt ?
Option: 1
September 2020
Option: 2
May 2021
Option: 3
January 2021
Option: 4
January 2022
Directions for question:
The bar-graph given below shows the foreign exchange reserves of Nepal (in million Rupees) from 2014 to 2021. Answer the following questions based on the graph :
Question:
What was the percentage increase (rounded to the nearest integer, if deemed necessary) in the foreign exchange reserves in 2020 over 2016 ?
Option: 1 None
Option: 2 None
Option: 3 None
Option: 4 None
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