CAT Geometry Question on Triangles, Data Sufficiency Questions, PYQs on Synonyms - Day 41

CAT Geometry Question on Triangles, Data Sufficiency Questions, PYQs on Synonyms - Day 41

Edited By Irshad Anwar | Updated on Sep 19, 2024 01:35 PM IST | #CAT

Hello CAT 2024 aspirants, On November 24, the CAT exam 2024 will be given for MBA admissions from 2025-2027. In this CAT 2024 60 days preparation guide series of Careers360, we will discuss the strategies for triangle questions for day 41 that can help you prepare well and crack the CAT entrance test 2024. Students can download the geometry questions and answers pdf.

CAT  Geometry Question on Triangles, Data Sufficiency Questions, PYQs on Synonyms - Day 41
CAT Geometry Question on Triangles, Data Sufficiency Questions, PYQs on Synonyms - Day 41

This article includes triangle questions, geometry questions for CAT, Data sufficiency questions for CAT, and PYQs on synonyms. Geometry is a very vast topic and includes many concepts and formulas. Students can refer to geometry and mensuration questions for CAT pdf. CAT Preparation 2024 in 60 days

Part-1: Quantitative Aptitude for CAT exam

Important Concept/Formula Used in CAT questions on triangles. Concepts used in Triangles questions are given below:

  • Similarity of Triangles
  • Congruence of Triangles
  • Types of Triangles
  • Area of Triangles/ Heron's Formula
  • The intersection of Medians/ Altitudes/ Perpendicular bisectors/ Angle bisectors
  • Pythagoras Theorem

Previous Year CAT Geometry Questions on Triangles

Question 1: From a triangle, ABC with sides of lengths 40 ft, 25 ft and 35 ft, a triangular portion GBC is cut off where G is the centroid of ABC. The area, in sq ft, of the remaining portion of triangle ABC is. [CAT 2017]

  1. 500/√3

  2. 225/√3

  3. 275/√3

  4. 250√3

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Geometry solved questions for CAT are given below:

Solution: (A)

Medians divides a triangle into 6 equal areas.

1694696464853

Area of triangle GBC = Two parts

Area of triangle ABC = 6 parts

Area of remaining portion = 6 parts – 2 parts = 4 parts

Area of Triangle ABC Using Heron's Formula: [s = (40+ 25+ 35)/2 = 50]

A = ss-as-bs-c = 5050-4050-2550-35,

A = 250√3

Area of remaining portion = 4 (250√3)/6= 500/√3.

Question 2: Let ABC be a right-angled isosceles triangle with hypotenuse BC. Let BQC be a semi-circle, away from A, with a diameter of BC. Let BPC be an arc of a circle centred at A and lying between BC and BQC. If AB has a length of 6 cm then the area, in sq cm, of the region enclosed by BPC and BQC is [CAT 2017]

  1. 9π- 18

  2. 18

  3. 9

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Geometry test for CAT: Triangle Questions for CAT with Solutions are given below:

Solution: (B)

1694696465152

We need to find the area of the shaded region.

Area of shaded region = Area of Semicircle BCQC - Area of segment BPCP

Also BC = 6√2 (using Pythagoras)

Area of Semicircle BCQC = [π (3√2)2]/2 = 9π

Area of segment BPCP = Area of quadrant ACPBA - Area of triangle ABC = 6π2/4 - 6 x 6/2 = 9π- 18

Area of shaded region = 9π - (9π- 18) = 18

CAT Exam Important Topic: Strategy to Prepare Triangles (Geometry CAT Questions) and triangles questions

  1. Learn Important Properties of Triangle

    • Sum of the length of any two sides > third side.

    • Difference between the lengths of any two sides of a triangle < third side.

    • Side opposite to the greatest angle will be the largest and the side opposite to the least angle is the smallest.

    • The sine rule: a/sin A = b/sin B = c/sin C = 2R (Where, R = circumradius.)

    • The cosine rule: a2 = b2 + c2 – 2bc cos A

    • This is true for all sides and respective angles.

    • 1694696878547

    • The exterior angle is equal to the sum of two opposite interior angles.

    • Centroid divides medians in the ratio of 2:1.

    • A median divides a triangle into two parts of equal area.

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  1. Learn Properties related to area of triangle

    • Area = 1/2 base × height

    • Area = ss-as-bs-c, where S = (a+b+c)/2

    • Area = rs (where r is in radius)

    • Area = 1/2 × product of two sides × sine of the included angle

    • Area = abc/4R, where R = circum radius

  1. Practice on Congruence and Similarity of triangles.

  1. Learn Pythagoras Triplets (helps in saving time)

Eg: [3, 4, 5], [ 24, 10, 26], [7, 24, 25] etc

  1. Divide the Triangle into different Sections based on the concepts used and practice accordingly.

CAT entrance exam: Prerequisite to triangles questions

  1. Lines and Angles
  2. Basics of trigonometry ( trigonometry CAT questions pdf)

CAT study material: References to Study (Theory)

  1. NCERT Mathematics Class 9 and 10
  2. Rodha (YouTube, Link: https://www.youtube.com/watch?v=rUI1bbCvk7E&list=PLG4bwc5fquziUvO3dlzG0MW9vqi3epud4)
  3. https://www.youtube.com/watch?v=25P2O9r3AfM&list=PLG4bwc5fquziUvO3dlzG0MW9vqi3epud4&index=2

CAT study material: References to Practice Geometry: Triangles Questions

Geometry aptitude questions on triangles

How to prepare quantitative Aptitude for CAT by Arun Sharma. Below are the given youtube videos links to practice CAT questions on triangles:

  1. Rodha (CAT PYQs; https://www.youtube.com/watch?v=hKyCT4T4Q4M&list=PLG4bwc5fquziUvO3dlzG0MW9vqi3epud4&index=10)
  2. https://www.youtube.com/watch?v=c_Abx1YkGbE&list=PLG4bwc5fquziUvO3dlzG0MW9vqi3epud4&index=11
  3. https://www.youtube.com/watch?v=GJu0L7KeXAg&list=PLG4bwc5fquziUvO3dlzG0MW9vqi3epud4&index=12
  4. CAT geometry questions with solutions pdf

Part-2: CAT 2024 Preparation Tips: CAT DILR tips (Logical Reasoning and Data Interpretation)

CAT 2024 Syllabus Topic: Strategy to prepare “Data Sufficiency in LR (Part-2)” for CAT

Tips and Tricks to Prepare for Data Sufficiency (LR) through PYQs from CAT/ MBA Entrance Exam:

Direction:

  1. Statement I alone is sufficient to answer this question but statement II is not sufficient to answer this question.

  2. Statement II alone is sufficient to answer this question but statement I is not sufficient to answer this question.

  3. None is sufficient to answer this question.

  4. Both statements together are sufficient to answer this question.

Questions 1: Five students Amit, Bhanu, Chetna, Devendra and Elena were the only ones who participated in a debate competition. They were ranked based on their scores in the contest. Devendra got a higher rank as compared to Elena, while Bhanu got a higher rank as compared to Chetna. Chetna’s rank was lower than the median. Who among the five got the highest rank?

I. Amit was the last rank holder.

II. Bhanu was not among the top two rank holders. [Based on CAT 2007]

Solution: [D]

CAT Tip 1: Collect the information from the problem paragraph

D> E

B> C

Rank of C is either 4 or 5 (Chetna’s rank was lower than the median)

CAT Tip 2: Is Statement I alone sufficient?

Amit is last.

Either D or B can be on top.

Two possible answers are there. So, the statement I alone is not sufficient.

CAT Tip 3: Is Statement II alone sufficient?

Bhanu is not among the top 2.

Bhanu is either 3 or 4.

Either A or D can be on top.

Two possible answers are there. So, statement II alone is not sufficient.

CAT Tip 4: Are Statement I and Statement II together sufficient?

Amit is last; Either D or B can be on top.

Bhanu is not among the top 2; Bhanu is either 3 or 4.

Either A or D can be on top.

From these two, we can say D is at the top.

Therefore, we can find answers using both statements together.

Questions 2: “On which day of the week did Akash reach Goa?”

Statement (1): Akash’s brother Sumit reached Goa a day before Akash.

Statement (2): Akash’s father reached Goa on Thursday which was two days later than the Sumit. [Based on PYQs]

Solution:

Tip 1: Is Statement I alone sufficient?

S reached a day before A.

No certain information is given.

So, the statement I alone is not sufficient.

Tip 2: Is Statement II alone sufficient?

A’s father = Thursday

S = Tuesday

No information about A can be deduced. So, statement II alone is not sufficient.

Tip 3: Are Statement I and Statement II together sufficient?

S reached a day before A.

A’s father = Thursday

S = Tuesday

A will reach on Monday.

Therefore, we can find answers using both statements together.

CAT entrance exam: Prerequisite

  1. Blood Relation, Direction Sense, Ranking, Coding-Decoding, Inequality, Cubes, and various other basic topics of LR.

  2. Basics of Data Sufficiency.

References to CAT Study (Theory)

  1. LRDI by Nishit K. Sinha

  2. (YouTube link: https://www.youtube.com/watch?v=LkvOu3oUymg )

References to Study (Practice)Data Sufficiency Questions

  1. Verbal and Non-Verbal Reasoning by R S Agrawal.

  2. MBA Entrance Previous years Papers and Sample Papers.

  3. https://www.youtube.com/watch?v=v3lDOtlFzL4&t=1016s

Part-3: CAT Exam Preparation 2024: CAT exam tips for VARC (Verbal Ability & Reading Comprehension)

CAT Exam Important Topic: Strategy to Prepare “Synonyms (Part-2)” for CAT-2024

Sample Problems on Synonyms

Directions: Choose a similar word from the given options for the highlighted phrase/word.

Question 1: Find a similar word to EMBEZZLE

  1. Misappropriate

  2. Balance

  3. Remunerate

  4. Clear

Ans. Option (A)

Explanation: embezzle comes with the suffix ‘bezzle’ which means the act of stealing.

Also, we need negative connotations as misappropriation has a negative connotation. And from the given options, option (a) has a negative connotation. Rest 3 words have a positive connotation.

Question 2: Find a similar word to WILE

  1. Destroy

  2. Ruse

  3. Urge

  4. Comply

  5. None of these

Ans. Option (B)

Explanation: wile means a trick or stratagem meant to fool, trap or entice.

Ruse means a trick or clever plan

Tips and Tricks to Solve CAT Questions on Synonyms:

  • Break down the typical word into two. This will lead to the relevant option.

  • Familiarize yourself with tricky words.

  • Distinguish a word in positive, negative, or neutral connotation. This will lead to making the right choice.

  • Associate a word with a previously known similar type of word. This will also give an idea of its connotation.

  • Sometimes similar type of words is given. Make the right choice according to the context in which it is used.

  • It is essential to observe which word is contextually right and why. This will help in the elimination of the wrong options.

CAT 2024: Prerequisite

  1. Vocabulary

  2. Parts of Speech

CAT exam: References to Study (Theory)

  1. Made Word Power Easy

  2. Study Buzz: YouTube

  3. (https://www.youtube.com/watch?v=QBqXNgJzhz8 )

CAT exam: References to Study (Practice)

  1. Big Book of Synonyms and Antonyms – English (Maple Press)

  2. CAT Previous years Papers and other MBA Entrance Exams.

  3. (YouTube; Link: https://www.youtube.com/watch?v=PiN521XFNd0

Practice, stay focused, and we'll be back tomorrow with CAT Preparation Day 42. Thank you!

All The best

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Questions related to CAT

Have a question related to CAT ?

The CUSAT CAT previous year question papers are available on the Careers360 website. You can find question papers from 2012 to 2023, which can be downloaded in PDF format HERE


Additionally, the official website of Cochin University of Science and Technology (CUSAT) also provides previous year question papers. To access them, you can follow these steps:


- Visit the CUSAT official website - admissions.cusat.ac.in.

- Click on the resources tab from the homepage.

- Select the previous year's question papers from the drop-down menu.

- Select the Common Admission Test (CAT) question papers link.

- Now click on the B.Tech course.


By practicing with these previous year question papers, you can get familiar with the exam pattern, identify important topics, and improve your time management skills.

Hey Shathvika,

Let's dive deep into MBA Entrance Exams (Other than CAT)

1. XAT (Xavier Aptitude Test)

Conducted by: XLRI, Jamshedpur

Eligibility: Bachelor’s degree in any discipline.

Exam Pattern:

- Sections: Decision Making, Verbal & Logical Ability, Quantitative Ability & Data Interpretation, and General Knowledge.

- Duration: 3 hours.

- Marks: No negative marking for General          Knowledge.

Key Highlights:

- The Decision-Making section tests analytical and situational judgment skills.

- General Knowledge is evaluated during interviews, not for percentile calculation.

Official Website: https://xatonline.in

---

2. SNAP (Symbiosis National Aptitude Test)

Conducted by: Symbiosis International (Deemed) University

Eligibility: Bachelor’s degree with 50% marks (45% for reserved categories).

Exam Pattern:

- Sections: General English, Quantitative, Data Interpretation & Data Sufficiency, and Analytical & Logical Reasoning.

- Duration: 1 hour.

- Marks: Total 60 marks (MCQs).

Key Highlights:

- Specifically for admission to Symbiosis institutes like SIBM Pune and SCMHRD.

- Easy-to-moderate difficulty level.

Official Website: https://snaptest.org

---

3. CMAT (Common Management Admission Test)

Conducted by: National Testing Agency (NTA)

Eligibility: Bachelor’s degree in any discipline.

Exam Pattern:

- Sections: Quantitative Techniques & Data Interpretation, Logical Reasoning, Language Comprehension, General Awareness, and Innovation & Entrepreneurship.

- Duration: 3 hours.

- Marks: 400 marks.

Key Highlights:

- Accepted by over 1,000 AICTE-approved institutes.

- Includes an optional Innovation & Entrepreneurship section.

Official Website: https://cmat.nta.nic.in

---

4. MAT (Management Aptitude Test)

Conducted by: All India Management Association (AIMA)

Eligibility: Bachelor’s degree in any discipline.

Exam Pattern:

- Sections: Language Comprehension, Mathematical Skills, Data Analysis & Sufficiency, Intelligence & Critical Reasoning, and Indian & Global Environment.

- Duration: 2.5 hours.

- Marks: 200 marks.

Key Highlights:

- Held multiple times a year in PBT, CBT, and IBT modes.

- Accepted by more than 600 MBA colleges in India.

Official Website: https://mat.aima.in

---

5. NMAT (NMIMS Management Aptitude Test)

Conducted by: Graduate Management Admission Council (GMAC)

Eligibility: Bachelor’s degree with 50% marks.

Exam Pattern:

- Sections: Language Skills, Quantitative Skills, and Logical Reasoning.

- Duration: 2 hours.

- Marks: 360 marks.

Key Highlights:

- Allows three attempts, with the best score considered.

- Accepted by NMIMS and partner universities worldwide.

Official Website: https://www.mba.com/exams/nmat

---

6. IIFT (Indian Institute of Foreign Trade)

Conducted by: National Testing Agency (NTA)

Eligibility: Bachelor’s degree (final-year students can also apply).

Exam Pattern:

- Sections: Quantitative Analysis, Reading Comprehension & Verbal Ability, Logical Reasoning & Data Interpretation, and General Knowledge.

- Duration: 2 hours.

- Marks: 300 marks.

Key Highlights:

- Specifically for IIFT’s flagship MBA in International Business.

- General Knowledge plays a significant role in shortlisting.

Official Website: https://iift.nta.nic.in

---

7. TISSNET (Tata Institute of Social Sciences National Entrance Test)

Conducted by: Tata Institute of Social Sciences

Eligibility: Bachelor’s degree.

Exam Pattern:

- Sections: English Proficiency, Mathematics & Logical Reasoning, and General Awareness.

- Duration: 100 minutes.

- Marks: 100 marks.

Key Highlights:

- Focused on social sciences, HRM, and public policy programs.

- General Awareness is crucial (with emphasis on current affairs).

Official Website: https://admissions.tiss.edu

---

8. MICAT (MICA Aptitude Test)

Conducted by: MICA, Ahmedabad

Eligibility: Bachelor’s degree and a valid CAT/XAT/GMAT score.

Exam Pattern:

- Sections: Psychometric Test, Verbal Ability, Quantitative Ability, General Awareness, Divergent-Convergent Thinking, and Descriptive Test.

- Duration: 2.5 hours.

Key Highlights:

- Psychometric Test is a qualifying section.

- Specifically for MICA’s flagship PGDM-C program in Strategic Marketing and Communications.

Official Website: https://www.mica.ac.in

---

9. GMAT (Graduate Management Admission Test)

Conducted by: Graduate Management Admission Council (GMAC)

Eligibility: No specific eligibility; bachelor’s degree recommended.

Exam Pattern:

- Sections: Analytical Writing, Integrated Reasoning, Quantitative Reasoning, and Verbal Reasoning.

- Duration: 3 hours 7 minutes.

- Marks: 800 (scaled score).

Key Highlights:

- Globally recognized for MBA programs.

- Popular for Indian B-schools like ISB, SPJIMR, and Great Lakes.

Official Website: https://www.mba.com

---

10. MAH-CET (Maharashtra Common Entrance Test)

Conducted by: Maharashtra State CET Cell

Eligibility: Bachelor’s degree with a minimum of 50% marks (45% for reserved categories).

Exam Pattern:

- Sections: Logical Reasoning, Abstract Reasoning, Quantitative Aptitude, and Verbal Ability & Reading Comprehension.

- Duration: 2.5 hours.

- Marks: 200 marks (MCQs).

Key Highlights:

- Accepted by top Maharashtra B-schools like JBIMS, SIMSREE, and PUMBA.

- Known for its speed-intensive nature with 200 questions in 150 minutes.

Official Website: https://cetcell.mahacet.org


Let me know if you have any doubts regarding a specific exam or any other query.

Have a nice day !!


Hello Ayush,

K.R. Mangalam University utilizes a blend of MCQs, descriptive formats, and practical assessments to evaluate student performance. The continuous evaluation system ensures that students are assessed regularly throughout the semester, contributing to a more comprehensive understanding of their academic progress.

Hello,

Here are some simple tips to prepare for the CUSAT CAT exam:

1. Focus on Physics, Chemistry, and Maths (PCM).

2. Give equal time to all subjects.

3. Use NCERT Books as they are best for basics.

You can refer to following study materials for better practice :-

1. CUSAT CAT Syllabus 2025

2. CUSAT CAT Sample Papers

Hope it helps !

Hello there,

Yes, you can apply for CAT examination after completion of Doctor of Pharmacy (Pharm D) .

The Common Admission Test (CAT) has no restrictions regarding your educational background thus allowing you to submit your application following your completion of a Pharm. D degree.

The Common Admission Test permits candidates to take the exam after completing any undergraduate degree without any restrictions to the area of study. The professional doctoral degree of Pharm. D (Doctor of Pharmacy) functions as an equivalent to bachelor's level for CAT eligibility recognition.

Therefore, Candidates who received their Pharm. D degree can pursue the CAT exam application process based on their qualification standards.

Hope this will help!

View All

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:

Two friends Moloy and Niloy passed out from the Purulia Institute of Science and Technology with B.Tech degrees in Mechanical Engineering, but even after a year placement was hard to find. So they decided to take the challenge head-on, came down to Kolkata, rented a garage space on Park Street, and having an affinity towards making people enjoy good food, started their firm named 'B.Tech Bread-Omlette Wala'. 

They started with three items on the menu. One was the French Toast which could be prepared in 3 minutes. The second was the Egg Tortillas which took 15 minutes to prepare. Any one of Moloy and Niloy could prepare any one of them at a time. The third was the Egg Bhurji with French Fries. This however was prepared on an automated fryer which could prepare 3 servings at a time and took 5 minutes irrespective of the number of servings equal to or below 3. The fryer did not need anyone to attend to it, and the time to put in the raw ingredients could be neglected. So one could tend to the preparation of other items while the Egg Bhurji with French Fries were being prepared. 

They wanted to serve the orders as early as possible after the order was given. The individual items in any order were served as and when all the items were ready, and the order was then considered closed. None of the items on the menu were prepared in advance in anticipation of future orders. 

On the first day, 3 groups of customers came in and ordered at 6.00 pm, 6.10 pm, and 6.13 pm. The first order was for a plate of Egg Tortillas, two plates of French Toast, and three plates of Egg Bhurji with French Fries. The second order was for a plate of French Toast and two plates of Egg Bhurji with French Fries. The third order was for a plate of Egg Tortilla and a plate of Egg Bhurji with French Fries. 

On the backdrop of the above information answer the questions given :

Question: 

Assuming that the next customer's order could only be attended to when the previous customer's order was closed, at what time would the first customer's order be considered closed ?

 

Option: 1

6.15 pm

 

 


Option: 2

6.17 pm

 


Option: 3

6.18 pm

 


Option: 4

6.20 pm


Directions for question :

Six sticks of equal lengths were kept in the vertical position in an empty flower-vase, to be arranged at the six corners of a regular hexagon. The two ends of each of the sticks were of different colours. 

The top ends of the sticks were one of each of the following colours – Red, Cyan, Pink, Brown, Black and Green. The bottom ends were one of each of the following colours – Blue, Yellow, White, Orange, Purple and Grey. Both the sets of colours mentioned were in no particular order.

It was also known that :

a) The stick with the red colour was opposite to the stick with the blue colour

b) There were exactly two sticks whose both ends had colours whose names started with the same letter

c) The stick with the grey colour was adjacent to the stick with the white colour

d) The stick with the cyan colour was adjacent to both the sticks with the brown colour and the one with the blue colour

e) The stick with the purple colour was adjacent to both the sticks with the grey colour and the one with the green colour

f) The stick with the white colour was opposite to the stick with the green colour

Question :

What was the colour of the bottom end of the stick having brown colour at the top end ?

Option: 1

 White 

 


Option: 2

Yellow 


Option: 3

Black

 


Option: 4

Grey


Directions for question:

Two friends Moloy and Niloy passed out from the Purulia Institute of Science and Technology with B.Tech degrees in Mechanical Engineering, but even after a year placement was hard to find. So they decided to take the challenge head-on, came down to Kolkata, rented a garage space on Park Street, and having an affinity towards making people enjoy good food, started their firm named 'B.Tech Bread-Omlette Wala'. 

They started with three items on the menu. One was the French Toast which could be prepared in 3 minutes. The second was the Egg Tortillas which took 15 minutes to prepare. Any one of Moloy and Niloy could prepare any one of them at a time. The third was the Egg Bhurji with French Fries. This however was prepared on an automated fryer which could prepare 3 servings at a time and took 5 minutes irrespective of the number of servings equal to or below 3. The fryer did not need anyone to attend to it, and the time to put in the raw ingredients could be neglected. So one could tend to the preparation of other items while the Egg Bhurji with French Fries were being prepared. 

They wanted to serve the orders as early as possible after the order was given. The individual items in any order were served as and when all the items were ready, and the order was then considered closed. None of the items on the menu were prepared in advance in anticipation of future orders. 

On the first day, 3 groups of customers came in and ordered at 6.00 pm, 6.10 pm, and 6.13 pm. The first order was for a plate of Egg Tortillas, two plates of French Toast, and three plates of Egg Bhurji with French Fries. The second order was for a plate of French Toast and two plates of Egg Bhurji with French Fries. The third order was for a plate of Egg Tortilla and a plate of Egg Bhurji with French Fries. 

On the backdrop of the above information answer the questions given :

Question: 

Assuming that the next customer's order could only be attended to when the previous customer's order was closed, at what time would the third customer's order be considered closed ?

 

Option: 1

6.28 pm

 


Option: 2

6.35 pm

 


Option: 3

6.38 pm


Option: 4

6.45 pm


Directions for question:

Two friends Moloy and Niloy passed out from the Purulia Institute of Science and Technology with B.Tech degrees in Mechanical Engineering, but even after a year placement was hard to find. So they decided to take the challenge head-on, came down to Kolkata, rented a garage space on Park Street, and having an affinity towards making people enjoy good food, started their firm named 'B.Tech Bread-Omlette Wala'. 

They started with three items on the menu. One was the French Toast which could be prepared in 3 minutes. The second was the Egg Tortillas which took 15 minutes to prepare. Any one of Moloy and Niloy could prepare any one of them at a time. The third was the Egg Bhurji with French Fries. This however was prepared on an automated fryer which could prepare 3 servings at a time and took 5 minutes irrespective of the number of servings equal to or below 3. The fryer did not need anyone to attend to it, and the time to put in the raw ingredients could be neglected. So one could tend to the preparation of other items while the Egg Bhurji with French Fries were being prepared. 

They wanted to serve the orders as early as possible after the order was given. The individual items in any order were served as and when all the items were ready, and the order was then considered closed. None of the items on the menu were prepared in advance in anticipation of future orders. 

On the first day, 3 groups of customers came in and ordered at 6.00 pm, 6.10 pm, and 6.13 pm. The first order was for a plate of Egg Tortillas, two plates of French Toast, and three plates of Egg Bhurji with French Fries. The second order was for a plate of French Toast and two plates of Egg Bhurji with French Fries. The third order was for a plate of Egg Tortilla and a plate of Egg Bhurji with French Fries. 

On the backdrop of the above information answer the questions given :

Question: 

Suppose Moloy and Niloy had decided to process multiple orders at the same time, however strictly prioritising a first come first serve basis, when would the second customer's order be considered closed ?

Option: 1

6.20 pm

 

 


Option: 2

6.18 pm


Option: 3

6.15 pm

 


Option: 4

6.12 pm


Directions for question:

Two friends Moloy and Niloy passed out from the Purulia Institute of Science and Technology with B.Tech degrees in Mechanical Engineering, but even after a year placement was hard to find. So they decided to take the challenge head-on, came down to Kolkata, rented a garage space on Park Street, and having an affinity towards making people enjoy good food, started their firm named 'B.Tech Bread-Omlette Wala'. 

They started with three items on the menu. One was the French Toast which could be prepared in 3 minutes. The second was the Egg Tortillas which took 15 minutes to prepare. Any one of Moloy and Niloy could prepare any one of them at a time. The third was the Egg Bhurji with French Fries. This however was prepared on an automated fryer which could prepare 3 servings at a time and took 5 minutes irrespective of the number of servings equal to or below 3. The fryer did not need anyone to attend to it, and the time to put in the raw ingredients could be neglected. So one could tend to the preparation of other items while the Egg Bhurji with French Fries were being prepared. 

They wanted to serve the orders as early as possible after the order was given. The individual items in any order were served as and when all the items were ready, and the order was then considered closed. None of the items on the menu were prepared in advance in anticipation of future orders. 

On the first day, 3 groups of customers came in and ordered at 6.00 pm, 6.10 pm, and 6.13 pm. The first order was for a plate of Egg Tortillas, two plates of French Toast, and three plates of Egg Bhurji with French Fries. The second order was for a plate of French Toast and two plates of Egg Bhurji with French Fries. The third order was for a plate of Egg Tortilla and a plate of Egg Bhurji with French Fries. 

On the backdrop of the above information answer the questions given :

Question: 

Suppose Moloy and Niloy had decided to process multiple orders at the same time, however strictly prioritising a first come first serve basis, when would the third customer's order be considered closed ?

 

Option: 1

6.22 pm

 


Option: 2

6.25 pm


Option: 3

6.28 pm 


Option: 4

6.30 pm


Directions for question:

Two friends Moloy and Niloy passed out from the Purulia Institute of Science and Technology with B.Tech degrees in Mechanical Engineering, but even after a year placement was hard to find. So they decided to take the challenge head-on, came down to Kolkata, rented a garage space on Park Street, and having an affinity towards making people enjoy good food, started their firm named 'B.Tech Bread-Omlette Wala'. 

They started with three items on the menu. One was the French Toast which could be prepared in 3 minutes. The second was the Egg Tortillas which took 15 minutes to prepare. Any one of Moloy and Niloy could prepare any one of them at a time. The third was the Egg Bhurji with French Fries. This however was prepared on an automated fryer which could prepare 3 servings at a time and took 5 minutes irrespective of the number of servings equal to or below 3. The fryer did not need anyone to attend to it, and the time to put in the raw ingredients could be neglected. So one could tend to the preparation of other items while the Egg Bhurji with French Fries were being prepared. 

They wanted to serve the orders as early as possible after the order was given. The individual items in any order were served as and when all the items were ready, and the order was then considered closed. None of the items on the menu were prepared in advance in anticipation of future orders. 

On the first day, 3 groups of customers came in and ordered at 6.00 pm, 6.10 pm, and 6.13 pm. The first order was for a plate of Egg Tortillas, two plates of French Toast, and three plates of Egg Bhurji with French Fries. The second order was for a plate of French Toast and two plates of Egg Bhurji with French Fries. The third order was for a plate of Egg Tortilla and a plate of Egg Bhurji with French Fries. 

On the backdrop of the above information answer the questions given :

Question: 

A fourth customer comes in and orders two plates of French Toast at 6.24 pm. Suppose Moloy and Niloy had decided to process multiple orders at the same time, however strictly prioritising a first come first serve basis. For exactly how many minutes would one of the friends be idle from 6.00 pm till serving the last customer, assuming that the four customers were the only ones to have come in within the period being discussed ?

Option: 1

9

 


Option: 2

13


Option: 3

18


Option: 4

21


Directions for question:

Two friends Moloy and Niloy passed out from the Purulia Institute of Science and Technology with B.Tech degrees in Mechanical Engineering, but even after a year placement was hard to find. So they decided to take the challenge head-on, came down to Kolkata, rented a garage space on Park Street, and having an affinity towards making people enjoy good food, started their firm named 'B.Tech Bread-Omlette Wala'. 

They started with three items on the menu. One was the French Toast which could be prepared in 3 minutes. The second was the Egg Tortillas which took 15 minutes to prepare. Any one of Moloy and Niloy could prepare any one of them at a time. The third was the Egg Bhurji with French Fries. This however was prepared on an automated fryer which could prepare 3 servings at a time and took 5 minutes irrespective of the number of servings equal to or below 3. The fryer did not need anyone to attend to it, and the time to put in the raw ingredients could be neglected. So one could tend to the preparation of other items while the Egg Bhurji with French Fries were being prepared. 

They wanted to serve the orders as early as possible after the order was given. The individual items in any order were served as and when all the items were ready, and the order was then considered closed. None of the items on the menu were prepared in advance in anticipation of future orders. 

On the first day, 3 groups of customers came in and ordered at 6.00 pm, 6.10 pm, and 6.13 pm. The first order was for a plate of Egg Tortillas, two plates of French Toast, and three plates of Egg Bhurji with French Fries. The second order was for a plate of French Toast and two plates of Egg Bhurji with French Fries. The third order was for a plate of Egg Tortilla and a plate of Egg Bhurji with French Fries. 

On the backdrop of the above information answer the questions given :

Question: 

Had Niloy been absent on that day, and assuming that the next customer's order could only be attended to when the previous customer's order was closed, at what time would the fourth customer's order (refer to the previous question) be considered closed ?

Option: 1

6:38 pm

 


Option: 2

6:42 pm

 


Option: 3

6:47 pm


Option: 4

6:49 pm


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

Directions for question:

The Jadavpur University’s Prince Anwar Shah Road hostel consists of two large separate buildings, one for the ladies and the other for the gents, while having a common kitchen and dining hall. It is the hostel of the CS and the EEC department of engineering students of the university.

In recognition of the growing dissatisfaction and hence complaints among the inmates of the hostel regarding the menu served for dinner, the Dean of the engineering department, Dr Aparesh Sanyal, personally decided to investigate the matter. He set about collecting information about the preference of dinner among the inmates, separately from the gents and the ladies wing of the hostel.

Dr Sanyal was able to gather the following partial information :  

 

Hostel inmates

Menu preference for dinner

Total

Egg Meal

Fish Meal

Chicken Meal

Gents

   

20

 

Ladies

     

64

Total

 

60

   

 

The Warden of the hostel was consulted, who after investigation declared that the following facts were clear :

1. Forty percent of the hostel inmates were ladies

2. One-third of the gentlemen inmates preferred an egg meal for dinner

3. Half the hostel inmates preferred either fish meal or chicken meal

Question:

What proportion of the lady hostel inmates preferred a fish meal for dinner ?

 

 

Option: 1

0.25

 

 


Option: 2

0.50

 


Option: 3

0.75

 


Option: 4

1.00 


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