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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 2024 College Predictor
Know Your Chances for getting Calls from IIMs & other Top MBA Colleges through CAT Percentile, based on your category, academic profile, work-ex & CAT result.
Use 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 ?
Hello there,
With a 53 percentile in CAT , the chances of receiving a call from XISS (Xavier Institute of Social Service) may be limited, as their typical cutoff for CAT is generally higher than this, especially for their flagship programs like MBA or PGDM .
However, admission depends on several factors such as:
-
Academic Profile
: Your
10th (67.8%)
,
12th (82.5%)
, and
graduation SGPA (7.5)
are decent, and they can contribute positively to your application.
-
Work Experience/Extra-curriculars
: If you have any relevant work experience or strong extra-curricular achievements, it might improve your chances.
- Overall Application Strength : XISS also considers your overall profile, including your statement of purpose (SOP) and interview performance .
Though the
CAT percentile
is a key factor, you might still be considered based on your overall profile if you apply to their
PGDM programs
. It's always worth checking with the college directly for the specific eligibility criteria and cutoffs for the year you're applying.
I would recommend you to use CAT College Predictor Tool by Careers360 to get the list of possible colleges you can get with your rank.
I hope this answer helps you. If you have more queries then feel free to share your questions with us we will be happy to assist you.
Thank you and wishing you all the best for your bright future.
kumardurgesh1802 24 January,2025
The Common Admission Test (CAT) is a highly competitive entrance exam in India for admission to prestigious management programs like the MBA, primarily at the Indian Institutes of Management (IIMs) and other top business schools. It tests a candidate's aptitude in areas such as quantitative ability, verbal ability, logical reasoning, and data interpretation. CAT is valuable for students aspiring to build a career in business, management, or entrepreneurship, as it opens doors to world-class education, exceptional networking opportunities, and lucrative career prospects. Excelling in CAT demonstrates analytical thinking, problem-solving skills, and leadership potential, essential qualities for success in the corporate world.
Tanya Gupta 23 January,2025
Hello there,
With a 77.38 percentile in CAT and sectionals of 61/89/67 , it may be challenging to secure admission to NIT Tiruchirappalli for an MBA, as their cutoff tends to be higher. However, there are still some possibilities, and you could consider these steps:
-
NIT Tiruchirappalli (MBA): Generally, the cutoff for NIT Trichy’s MBA program is around 85-90 percentile, depending on the year and category. Your chances might be slim, but it’s always good to check with the college directly for their specific cutoff.
-
Other Colleges to Consider:
-
IMT Ghaziabad (Consider their sectional cutoffs):
Known for its management programs, IMT could be a good option with your profile.
-
XIME Bangalore:
This college has a more accessible cutoff and offers a good ROI.
-
UPES Dehradun:
If you're looking at newer or specialized MBA programs, UPES could be another option.
-
KIIT School of Management, Bhubaneswar:
They accept CAT scores and have reasonable cutoffs.
-
IIMs (if in lower percentiles in the category, check IIMs like IIM Jammu, IIM Bodh Gaya, or IIM Kashipur).
-
Symbiosis Pune (SIBM):
They have slightly more flexible cutoffs, depending on their intake.
-
IMT Ghaziabad (Consider their sectional cutoffs):
Known for its management programs, IMT could be a good option with your profile.
-
Other Entrance Exams: You could also look at other entrance exams like XAT, NMAT, or SNAP to apply to colleges like XLRI Jamshedpur, NMIMS Mumbai, or Symbiosis Institutes.
Additionally, considering your strong sectional score in DILR (89), you could focus on colleges with a more flexible approach to sectionals and percentile aggregation.
I hope this answer helps you. If you have more queries then feel free to share your questions with us we will be happy to assist you.
Thank you and wishing you all the best for your bright future.
kumardurgesh1802 23 January,2025
Hello there,
With a 65 percentile in CAT and belonging to the General category , getting admission to USMS (University School of Management Studies) can be challenging, as their cutoffs are generally higher, typically around 85-90 percentile or more. However, admission can depend on factors like:
-
Category-wise cutoff : Sometimes, the cutoff for the General category can be higher, but you may still apply as there might be specific reservation relaxations or fluctuations based on the number of applicants.
-
Interviews and GD : Even if you meet the minimum cutoff, interviews and group discussions are a mandatory part of the selection process. They assess your communication skills, leadership qualities, and overall fit for the program.
Recommendations:
-
Check the official cutoff
for USMS for your specific year.
-
Prepare for interviews
: It is likely that you will have to appear for the next rounds if you qualify. Preparing well for the interview is important, as it can make a difference in your selection.
I hope this answer helps you. If you have more queries then feel free to share your questions with us we will be happy to assist you.
Thank you and wishing you all the best for your bright future.
kumardurgesh1802 21 January,2025
Top MBA colleges based on CAT, XAT, SNAP, and NMAT scores include some of India’s best institutions. For CAT, the IIMs (Ahmedabad, Bangalore, Calcutta) and FMS Delhi are highly regarded. XAT results in prestigious colleges like XLRI Jamshedpur and XIMB. SNAP is known for Symbiosis Institutes, such as SIBM Pune and SCMHRD. NMAT scores open doors to NMIMS Mumbai, SPJIMR Mumbai, and ISB Hyderabad. Each exam has unique eligibility requirements, and their cutoffs vary, so it's important to research the specific criteria and select based on your preferences and strengths.
Ankit 17 January,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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