QA Problem of the Day #55

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@TheQuantMentor

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Shortcut #1

Rule of 72 Approximately how long it will take an investment to double at R% in T years under Annual Compounding
R x T ≈ 72

Rule of 114 Approximately how long it will take an investment to triple at R% in T years under Annual Compounding
R x T ≈ 114

Rule of 144 Approximately how long it will take an investment to quadruple at R% in T years under Annual Compounding
R x T ≈ 144

Valid only for Either R/T belonging in the range [4, 18]

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Shortcut #2

Any Perfect Square other than that of 0 and 1 is always a multiple of 3 or one more than a multiple of 3

Any Perfect Square other than that of 0 and 1 is always a multiple of 4 or one more than a multiple of 4

But Together isn't true always!

#QuantitativeAptitude #MBA #catmba2023 #ImportantShortcut

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Shortcut #3

When we want to keep a product constant and one of the variable is increasing by n/p; its corresponding counterpart has to decrease by n/(p + n)

Ex: In a rectangle, length increases by 40%. By what percentage must breadth reduce so as to keep the area constant.

If area is constant and length increased by 40% = 2/5,

That means breadth should decrease by 2/(2 + 5) = 2/7 = 28.57%

#QuantitativeAptitude #MBA #catmba2023 #ImportantShortcut

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@TheQuantMentor

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Shortcut #4

Product of ‘n’ consecutive natural numbers is always divisible by n!

#QuantitativeAptitude #MBA #catmba2023 #ImportantShortcut

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Shortcut #5

Any single digit number written (P-1) times is divisible by P, where P is a prime number >5.

Examples: 222222 is divisible by 7
444444….. 18 times is divisible by 19

#QuantitativeAptitude #MBA #catmba2023 #ImportantShortcut

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Shortcut #6

For Equilateral Triangle
1. Circumradius : a/√3
2. Inradius : a/2√3

For Regular Hexagon
1. Circumradius : a
2. Inradius : √3a/2

For Regular Octagon :
1. Circumradius: a/√(2-√2)
2. Inradius: a/(2√2-2)

a = side length

#QuantitativeAptitude #MBA #catmba2023 #ImportantShortcut

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Put your social media aside. Pick up a book.

On that note, here is a collection of books for you to read and enjoy. If you are a read-a-holics like me, this is the best treasure of all. Novels and some comics. Read them to your hearts desire

https://drive.google.com/drive/folders/1prSVjdIwHw7POHHRZwAnCfiMfkOkrt31?usp=drive_link

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https://telegram.me/QuantSenseiMain/334
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Put your social media aside. Pick up a book.

On that note, here is a collection of books for you to read and enjoy. If you are a read-a-holics like me, this is the best treasure of all. Novels and some comics. Read them to your hearts desire

https://drive.google.com/drive/folders/1prSVjdIwHw7POHHRZwAnCfiMfkOkrt31?usp=drive_link

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@TheQuantMentor
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Preparing for the CAT - 3 Month Edition

It might become challenging, but with the right approach and strategies, it is possible. Here are some tips to help you prepare:

1. Understand Exam Pattern: Familiarize yourself with exam pattern, type and number of questions. This will help you plan your preparation and develop a strategy for tackling the exam.

2. Create Study Plan: Develop a study plan to cover all the topics and sections of the exam. Allocate sufficient time to each topic based on your strengths and weaknesses. Exact number of hours are your decision.

3. Practice regularly: Just making a study plan isn't going to suffice. Follow it diligently. Solve mock tests, sample papers, and previous years' CAT papers. This will help build your confidence and improve your time management skills.

4. Focus on weak areas: Work on developing your problem-solving skills and time management strategies to maximize your performance in the exam.

5. Take breaks: Taking short, periodic breaks can help you recharge your energy and stay focused. Engage in activities that help you relax and rejuvenate.

6. Stay motivated: Surround yourself with positive energy and stay committed to your preparation plan.

Remember that cracking CAT requires consistent effort, dedication, and hard work. By following these tips and developing a disciplined approach to your preparation, you can increase your chances of success in the exam.

Yours truly
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I think I have mentioned the importance of mock 📝 analysis a lot of time⏱. I am attaching an outline for the broad pattern in which this analysis needs to happen.

Fill up this data for 3 - 4 mocks and that should give you an idea of what are your cash cows and pitfalls

This analysis will help you perform better at the mocks.

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QA Quiz of the Day #18

Post all your answers in a single chat. No solutions please. Hide the answers with a spoiler.

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Sunk cost fallacy

Tendency to continue doing something even if it's not working out, because we've already invested so much

Ex: Keeping on attempting a question even if we don't know how to, just because we have already spent 1 minute on it

Wouldn't you be better off quitting and starting something else?

#catmba2024 #quantitativeaptitude #my2cents

PS: Leave your thoughts in the comments below, if you have any!

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Shortcut #1

Rule of 72 Approximately how long it will take an investment to double at R% in T years under Annual Compounding
R x T ≈ 72

Rule of 114 Approximately how long it will take an investment to triple at R% in T years under Annual Compounding
R x T ≈ 114

Rule of 144 Approximately how long it will take an investment to quadruple at R% in T years under Annual Compounding
R x T ≈ 144

Valid only for Either R/T belonging in the range [4, 18]

#QuantitativeAptitude #MBA #catmba2024 #ImportantShortcut

Regards
@TheQuantMentor

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Shortcut #2

Any Perfect Square other than that of 0 and 1 is always a multiple of 3 or one more than a multiple of 3

Any Perfect Square other than that of 0 and 1 is always a multiple of 4 or one more than a multiple of 4

But Together isn't true always!

#QuantitativeAptitude #MBA #catmba2024 #ImportantShortcut

Regards
@TheQuantMentor

Shortcut #3

When we want to keep a product constant and one of the variable is increasing by n/p; its corresponding counterpart has to decrease by n/(p + n)

Ex: In a rectangle, length increases by 40%. By what percentage must breadth reduce so as to keep the area constant.

If area is constant and length increased by 40% = 2/5,

That means breadth should decrease by 2/(2 + 5) = 2/7 = 28.57%

#QuantitativeAptitude #MBA #catmba2024 #ImportantShortcut

Regards
@TheQuantMentor

Shortcut #4

Product of ‘n’ consecutive natural numbers is always divisible by n!

#QuantitativeAptitude #MBA #catmba2024 #ImportantShortcut

Regards
@TheQuantMentor

Shortcut #5

Any single digit number written (P-1) times is divisible by P, where P is a prime number >5.

Examples: 222222 is divisible by 7
444444….. 18 times is divisible by 19

#QuantitativeAptitude #MBA #catmba2024 #ImportantShortcut

Regards
@TheQuantMentor

Shortcut #6

For Equilateral Triangle
1. Circumradius : a/√3
2. Inradius : a/2√3

For Regular Hexagon
1. Circumradius : a
2. Inradius : √3a/2

For Regular Octagon :
1. Circumradius: a/√(2-√2)
2. Inradius: a/(2√2-2)

a = side length

#QuantitativeAptitude #MBA #catmba2024 #ImportantShortcut

Shortcut #1

Rule of 72 Approximately how long it will take an investment to double at R% in T years under Annual Compounding
R x T ≈ 72

Rule of 114 Approximately how long it will take an investment to triple at R% in T years under Annual Compounding
R x T ≈ 114

Rule of 144 Approximately how long it will take an investment to quadruple at R% in T years under Annual Compounding
R x T ≈ 144

Valid only for Either R/T belonging in the range [4, 18]

#QuantitativeAptitude #MBA #catmba2024 #ImportantShortcut

Regards
@TheQuantMentor

1. Questions, Guidance, Strategy and Motivation @QuantSenseiMain
2. GD PI Support @QuantSenseiGDPI
3. Questions and discussion with like minded colleagues @TheQuantSensei
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6. Newspaper Group https://chat.whatsapp.com/GwF9WiVuag9HYT8j2NZA2j
7. Daily Vocabulary @DailyVocabPrep