- Sequential Output Tracing (Input Output)
- Syllogism
- Critical Reasoning: Assumptions & Conclusions
- Relationships
- Cause & Effect
- Circular Arrangement
- Coding-Decoding
- Complex Arrangements
- Critical Reasoning: Course of Action
- Critical Path
- Direction and Word Puzzle
- Games And Tournaments
- Linear Arrangement
- Team Selection
- Venn Diagram
- Bar Graphs
- Data Sufficiency
- Line Graph
- Pie Chart
- Tables and Caselets

Following Time & work Questions have been asked recently in past CAT papers:

1. John takes twice as much time as Jack to finish a job. Jack and Jim together take one-thirds of the time to finish the job than John takes working alone. Moreover, in order to finish the job, John takes three days more than that taken by three of them working together. In how many days will Jim finish the job working alone? ____________ [CAT 2020]

1. Answer

John = x units/day

Jack = 2x units/day

Jim = x units/day (1/3rd of John does = 3x units, out of which jack does 2x)

Total = 4x units/day

John’s time taken = x(n+3) = 4x × n

Then n = 1 day for 4x units

For x units, Jim will take 4 days

2. Answer

In 3 days, Anil does 3/20 of work

Let a and s work for x days,

then total work done = 3x/40

So, 3/20 + 3x/40 = 9/10 15/20 = 3x/40 X = 10

So, total no. of days = 13

3. Answer

let the number of overtime hours for john = x

So no regular hours = 172 –x

Income from overtime hours = (x)*114

Income from regular hours = (172-x)*57

Total income = 114x + (172 –x)*57 = 172*57 + 57x

As per question 15% of (172 – x) *57 = 114x

15/100 (172 +x)= 2x

15*172* – 15x = 200x

215x = 15*172

x = 12

4. At their usual efficiency levels, A and B together finish a task in 12 days. If A had worked half as efficiently as she usually does, and B had worked thrice as efficiently as he usually does, the task would have been completed in 9 days. How many days would A take to finish the task if she works alone at her usual efficiency? [CAT 2019]

A. 18 B. 12 C. 36 D. 24

4. Answer

Let usual efficiency of A = 2a and that of B = b

So total work = 12*(2a+b) = 24a+12b————1)

In 2nd case when efficiency of A is halved and efficiency of B get tripled , new efficiency of A = 2a/2 = a

New efficiency of B = b*3 =3b

Total work = 9(a+3b) = 9a+27b ——————-2)

From eq 1) and 2)

24a+12b = 9a + 27b

15a = 15b

Or a=b

So total work = 24a+12b = 24a+12a = 36a

Time taken by A alone to complete the work = 36a/2a = 18 days

There are some set concepts or types on which questions are framed. A thorough understanding of each type of problem would help in tackling the exam. Time & Work questions in CAT, XAT, SNAP, NMAT, etc. are of the following types:

1. Simple formula-based

2. Time and Work problems based on Equation: Questions are based on forming equations based on given data and solving them

3. Time and work Efficiency Concept: In this type, the efficiency of a person in comparison to another person, will be given. For example, Ram is twice as efficient as Shyam, Shyam finishes the work in 16 days, in how many days will they together complete the task?

4. Efficiency percentage is given, calculate the time: In this type of question, mostly the time taken by one person is given and the efficiency of the second person is also given, you are supposed to find the time taken by them together

5. Calculate Time when workers join/ leave in between tasks: Questions based on calculating the time taken by workers to finish a specific job when new workers join, or some workers leave the task in between

6. Negative work concept

7. Pipes and Cistern based: Time and work CAT question based on this type are very common; inlet and outlet pipes are kept open in a tank, and the time required to fill the tank has to be calculated. These questions can be a little tricky.

Preparing any topic from the scratch requires patience, hard work, and above all commitment. To prepare for Time & Work, here are some Level-wise preparatory guidelines to follow:

**Level – 1**

1. Learn Speed calculation: For an effective and quick calculation, be thorough with tables till 20, memorize squares till 30, and cubes till 15

2. Fraction – Percentage relation: Ratios, Fractions, and Percentage interchange help in solving Time and work difficult problems in a very small amount of time. Keeping them on tip of your finger will help you save time during the exam. Memorize the fraction-percentage interrelation. For example, 1/2 is 50%, 1/3 is 33.33%, and so on

3. Note down all the time and work formula in this chapter and keep revising them

4. Practice Time and work basic questions on Efficiency based problems, Pipes and Cisterns, and Capital division based on work done from MBAP CAT E Book (Concept Theory). You can also listen to Live Lecture Recording (Basic) on basic concept and MBAP lecture Assignment.

5. Questions on Pipes and Cisterns are asked quite frequently in CAT and XAT, so the basic should be clear

**Level – 2**

1. Practice conceptual questions on time and work from MBAP CAT E Book (Practice Questions)

2. Move on to more complex problems, attempt beginner and intermediate level mock on conceptual problems based on time & work from MBAP CAT Advance E books.

• Solve previous year questions on Time & Work from MBAP Previous Year CAT paper and MBAP Topic wise Previous Year CAT Questions.

• and keep a watch on time. These questions are easy but take a lot of time if not attempted properly.

3. Keep attempting mocks to check your performance

4. Topic-wise mocks, provided by MBAP, can be utilized to enhance your performance

**Level – 3**

1. For advanced level preparation, start practicing Time and work aptitude questions from Arun Sharma

2. Problem on time and work in Arun Sharma are categorized into Level of Difficulty (LOD), based upon your preparation level, start attempting 3 or 4 questions daily.

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Next

- Sequential Output Tracing (Input Output)
- Syllogism
- Critical Reasoning: Assumptions & Conclusions
- Relationships
- Cause & Effect
- Circular Arrangement
- Coding-Decoding
- Complex Arrangements
- Critical Reasoning: Course of Action
- Critical Path
- Direction and Word Puzzle
- Games And Tournaments
- Linear Arrangement
- Team Selection
- Venn Diagram
- Bar Graphs
- Data Sufficiency
- Line Graph
- Pie Chart
- Tables and Caselets

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