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The CAT Exam Roadmap: Navigating Success through Practice Set Questions- Day 20

The CAT Exam Roadmap: Navigating Success through Practice Set Questions- Day 20

Edited By Team Careers360 | Updated on Nov 07, 2024 09:18 AM IST | #CAT

Practice sets are very crucial from an exam point of view. On day 20 Career’s 360 has prepared this practice test to give the candidates exposure to the actual exam pattern. Students may refer to it and practice more papers in the following days using our articles. You may prepare for the CAT test in an organized way by following our 60-day CAT exam preparation strategy. Make sure to improve your test-taking skills by practising with these CAT practice questions every day.

CAT Sample Paper with solutions PDF

This CAT Sample paper consists of three Sections:

  • Part- A consists of 9 questions.

  • Part- B consists of 7 questions.

  • Part- C consists of 9 questions.

Quantitative Aptitude

Q1. For the given pair (x, y) of positive integers, such that (-x + 3y/2) = 7 and x < 210. How many integer values of y satisfy the given conditions? (CAT previous year questions)

  1. 340

  2. 341

  3. 342

  4. 1024

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Q2. A quadratic function f(x) attains a maximum of 12 at x = 1. The value of the function at x = 0 is 7. What is the value of f (x) at x = -11? (CAT previous year questions)

  1. -805

  2. -719

  3. -859

  4. -883

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Q3. If the roots of the equation in y i.e. y3 – ay2 + by – c = 0 are three consecutive integers, then the smallest possible value of b (nearest to its integer value) is ______________ [TITA]

Q4. The sum of the integers in the solution set of |x2 - 7x| > 5 is: (CAT exam model paper)

  1. 10

  2. 15

  3. 20

  4. 0

Q5. The equation x2 + ax + (3-b) = 0 has real roots. What is the minimum value of a2 + b2? (CAT previous year questions)

  1. 0

  2. 2

  3. 4

  4. 8

Q6. X is p% less than Y and Z is p% more than Y. If X is 2.5p% more than Z, then find p.
(Note: p ≠ 0) - (CAT previous year questions)

  1. 20

  2. 40

  3. 60

  4. 50

Q7. The value of the base of a triangle for which area is minimum if the relation between the perpendicular distance from the vertex and the base is p = 7b2 - 84 is _______________ (where b represents base and p represents perpendicular distance) [TITA]

Q8. Let f (x) = max (2x + 1, 3 − 4x), where x is any real number. Value of f(x) at x = 7.5 is: (CAT exam model paper)

  1. -11

  2. - 27

  3. 16

  4. 43

Q9. Let g (x) be a function such that g (x + 1) g (x) = 12 for every real x. Then what is the value of g (11) g (0)? (CAT exam model paper)

  1. 1

  2. 12

  3. 1/12

  4. 6

Logical Reasoning

Direction (Q1-Q3):

Four friends Arun, Bittu, Cirag and Dheeraj went for an excursion with their wives Priya, Renu, Sharita and Varti, not necessarily in the same order. Each couple hails from a different city, including Madurai, Cutnee, Kurnool, and Hapur, but they are not necessarily in that order. They went to Delhi to visit the Pinkfort, where they sat in a row. Each wife always sat to the immediate right of her husband.

(CAT practice questions)

(i) Bittu sat to the immediate right of Priya.

(ii) Dheeraj is from Hapur and Priya is not from Madurai.

(iii) Renu and her husband were sitting to the immediate right of the couple that hailed from Cutnee.

(iv) Chirag and his wife were sitting to the immediate left of the couple from Kurnool and Chirag was sitting to the immediate right of Sharita.

(v) Arun sat to the immediate right of Renu, who is not from Madurai.

Q1. Who is Dheeraj’s wife?

  1. Sharita

  2. Priya

  3. Varti

  4. Renu

Q2. Which couple is from Cutnee?

  1. Varti and Bittu

  2. Dheeraj and Renu

  3. Chirag and Priya

  4. Arun and Sharita

Q3. Who is the husband in the couple, who is seated second in the row from left to right?

  1. Arun

  2. Bittu

  3. Chirag

  4. Dheeraj

Direction (Q4- Q7) (CAT practice questions)

A cube is formed by joining 216 smaller and identical cubes. The bigger cube is painted black colour on all its faces. From the bigger cube, 64 smaller cubes from a corner were taken out and the cube formed by joining these 64 smaller cubes is painted pink in all its faces. Again, this cube is fitted back into its usual position in the large cube.

Q4. How many smaller cubes have no faces painted?

Q5. How many smaller cubes have three faces painted?

Q6. How many smaller cubes have only two faces painted?

Q7. How many smaller cubes have only one face painted?

VARC (CAT solved papers)

In the questions below, find the phrase with an error.

Q1: If I had known, I would lend you my car.

  1. I will lend you my car

  2. I would lent you my car

  3. I would have lent you my car

  4. No improvement needed

Q2. You have no trouble at school, if you had done your homework.

  1. You would have had no trouble at school.

  2. You will have no trouble at school.

  3. You would had no trouble at school

  4. No improvement needed

Q3. If you had done better at your interview, you get that job.

  1. You will get that job.

  2. You would get that job.

  3. You would have got that job.

  4. No improvement needed

Choose appropriate sentence

Q4. While the guests danced, the thieves broke into the house.

  1. While the guests have danced

  2. While the guests were dancing

  3. While the guests had danced

  4. No improvement needed

Error detection - (CAT exam paper sample)

Q5. Take a shower (a)/ you will (b)/ feel better. (c) / No error (d)

  1. (a)

  2. (b)

  3. (c)

  4. (d)

Q6. Whenever I look (a)/ at the moon, my heart (b)/ fills with the pleasure. (c)/ No error(d)

  1. (a)

  2. (b)

  3. (c)

  4. (d)

Q7. The whole block of flats (a)/ including two shops were (b)/ destroyed in fire. (c)/ No error (d)

  1. (a)

  2. (b)

  3. (c)

  4. (d)

Q8. The man who cannot (a)/ believe his senses and the man who cannot (b)/ believe anything else are insane. (c)/ No error(d)

  1. (a)

  2. (b)

  3. (c)

  4. (d)

Fill the blank with the correct Article:

Q9. If you go by __ train you can have quite__ comfortable journey, but make sure you get ___ express, not __ train that stops at all the stations.

  1. a, an, a, the

  2. an, a, the, a

  3. No article, an, a, the

  4. No article, a, an, a

CAT Exam: Sample Papers: Answers and Solutions

Part-A: Quantitative Aptitude

Answer 1: (B)

3y/2 = 7 + x

⇒ y = (14 + 2x)/3; for y to be integer (14 + 2x) should be divisible by 3

So, x = 2; y = 6

When x= 5, y = 8

When x = 8, y = 10

When x = 11, y = 12 and so on…

So, there is an AP in x with the first term being 2 and the common difference is 3.

nth term in x must be less than or equal to 210 i.e., 1024.

Therefore, 2 + (n-1)3 ≤ 1024

⇒ n ≤ (1022/3) +1

Therefore, n must be 341.

Hence, there can be 341 solutions.

Answer 2: (D)

If the function gets the maximum of 12 at x = 1

f(x) = a(x – 1)2 + 12

So, f (0) = a + 12 = 7 [Given]

⇒ a = –5

f(x) = –5(x – 1)2 + 12

So, f(-11) = –5(-12 – 1)2 + 12 = –845 + 12 = –833

Hence, the correct answer is –833.

Answer 3:

Let roots be (n - 1), n and (n + 1).

In a cubic equation, the coefficient of y divided by the coefficient of y3 represents the sum of the product of roots taken two at a time.

So, b = the sum of the product of roots taken two at a time

n(n - 1) + (n + 1)n + (n - 1) (n + 1) = b

⇒ n2 - n + n2 + n + n2 - 1 = b

⇒ 3n2 - 1 = b

The value of b will be minimal when the value of n2 is minimum.

i.e., n2 = 0

So, 3 × 0 - 1 = b

∴ b = -1

Hence, the correct answer is -1.

Answer 4: (D)

|x2 - 7x| > 5

⇒ x2 - 7x > 5 or x2 - 7x < -5

Case 1:

⇒ x2-7x > 5

⇒ x2 - 7x – 5 > 0

⇒ x > [(7±√69)/2], which gives two solutions x > 7 or x < 0 (for x to be integer).

Case 2:

⇒ x2 - 7x < -5

⇒ x2 - 7x + 5 < 0

⇒ x < [(7±√29)/2], which gives two solutions x < 7 or x > 0 (for x to be integer).

So, x = [1, 2, 3, 4, 5, 6]

There is no common solution in both cases.

Hence, the correct answer is 0.

Answer 5: (D)

For real roots; a2 – 4(3 – b) ≥ 0

⇒ a2 + 4b – 12 ≥ 0

⇒ a2 + 4b + b2 – b2 – 12 ≥ 0

⇒ a2 + b2 ≥ b2 – 4b + 12

⇒ a2 + b2 ≥ b2 – 4b + 4 + 8

⇒ a2 + b2 ≥ (b – 2)2 + 8

At b = 2, a2 + b2 has the minimum value. i.e., 8.

Hence, the correct answer is 8.

Answer 6: (A)

X = (100 – p) Y/100

Z = (100 + p) Y/100

X = (100 + 2.5p) Z/100

From 1st and 2nd relation, we get X = Z (100 – p) / (100 + p)

So, Z (100 – p) / (100 + p) = (100 + 2.5p) Z/100

⇒ 100(100 – p) = (100 + p) (100 + 2.5p)

⇒ – 100p = 100p – 250p + 2.5p2

⇒ 50p = 2.5p2

⇒ p = 20

Hence, the correct answer is 20.

Answer 7:

Area = ½ (base) (height) = ½ b (7b2 - 84) = 7b3/2 - 84b1/2

For Area to be minimum, find dA/db = 21/2 b2 – 42 = 0

⇒ b2 = 4

⇒ b = 2 or b = -2

Now find d2A/db2 = 21b

At b = 2; d2A/db2 = 42, which is greater than 0.

So, at b = 2, we get the minimum value of Area.

Hence, the correct answer is 2.

Answer 8: (C)

f(x) = max (2 × 7.5 + 1, 3 – 4 × 7.5) at x = 7.5

⇒ f(x) = max (16, -27) at x = 7.5

Hence, the correct answer is 16.

Answer 9: (B)

For x = 0; g(1) = 12/g(0)

Similarly g(2) = 12/g(1), which gives g(2) = g(0)

g(3) = g(1) and so on.

Therefore, g(11) = g(9) = g(7) = ……= g(1) = 12/g(0)

⇒ g (11) g (0) = 12

Hence, the correct answer is 12.

CAT Exam: Sample Papers: Answers and Solutions

Part B - Logical Reasoning

Solution 1-3:

Males: Arun, Bittu, Cirag and Dheeraj

Females: Priya, Renu, Sharita and Varti

Cities: Madurai, Cutnee, Kurnool and Hapur

Regarding the couples, the wife always sits to the immediate right of her husband.

From (i), Bittu is not the husband of Priya.

From (ii), Dheeraj is from Hapur.

From (iii), Renu is not from Cutnee.

From (iv), Cirag is not from Kurnool and is not the husband of Sharita.

From (v), Arun is not married to Renu and Renu is not from Madurai.

Possibility Table

HUSBAND

WIFE

CITY

Bittu

Priya

Hapur

Dheeraj

Sharita, Reno, Priya, Varita

Hapur

Chirag

Sharita, Renu, Priya or Varita

Hapur, Kurnool, Mudrai or Cutnee

Arun

Renu

Hapur, Cutnee, Madurai or Kurnool

So, according to the table, there were two possibilities for Chirag's wife either Priya or Varita so we will consider these cases one by one.

Case I: If we consider Priya as Chirag’s wife and Priya can’t be from Madurai so they must be from Cutnee.

So, the arrangement could look like this:

------ Sharita Chirag --- Priya Bittu---Renu Arun-------

Now after this arrangement only one man and one woman is left so we can consider the woman as Arun’s wife and the man as Sharita’s Husband

Dheeraj ------ Sharita Chirag --- Priya Bittu---Renu Arun-------Varti

This arrangement fulfils all the conditions, so it is not required to consider any other case.

Answer 1: Dheeraj is married to Sharita. [Which is option (A)]

Answer 2: Chirag and Priya are from Cutnee. [Which is option (C)]

Answer 3: Chirag and his wife are seated second in the row. [Which is option (C)]

Solution 4 to 7:

1695034328923

1695034328732

Answer 4: By assuming a 4 × 4 × 4 cube is also not painted with pink colour, the number of cubes with no faces painted is = (6 – 2)3 = 64. Of these 64 smaller cubes now, in the second, third and fourth layers leftmost 9 cubes are painted pink, on the bottom surface four smaller cubes are painted pink and on the fourth layer back six smaller cubes are painted.

Hence, the total number of cubes with no face painted = 64 – 19 = 45

Answer 5: The number of cubes which are three faces painted before removing 64 smaller cubes = 8 and after painting with pink colour to those 64 smaller cubes seven new cubes will have three faces painted.

Hence, the total number of cubes with three faces painted = 8 + 7 = 15

Answer 6: The number of smaller cubes painted on two faces in the larger cube after removing 4 × 4 × 4 is illustrated as shown below.

9 edges with four smaller cubes with two faces painted = 9 × 4 = 36; 3 edges with one cube with two faces painted = 3 × 1 = 3

In the pink cube, there are 24 cubes on 12 edges which are painted on two faces.

Hence, the number of cubes with two faces painted = 36 + 3 + 24 = 63

Answer 7: The number of cubes with one face painted in the larger cube = 3 × 16 + 3 × 7 = 69. Number of cubes with one face painted in the 4 × 4 cube = 6 × 4 = 24

Hence, the total number of smaller cubes with one face painted = 69 + 24 = 93

CAT Exam: Sample Papers: Answers and Solutions

Part-C: VARC

Answer 1: (C)

if clause: had known (past perfect), Main clause: would/ could have lent.

Answer 2: (A)

if clause: had done (past perfect), the main clause: would/ could/ might have had.

Answer 3: (C)

if clause: had done (past perfect), the main clause: would/ could/ might have had.

Answer 4: (B)

The previous event is simple past, then the next event must be past continuous for continuous action.

Answer 5: D

“take a shower” is an idiomatic phrase. Hence, No error.

Answer 6: (C)

“with pleasure” is an idiomatic phrase. With pleasure replaced with “pleasure”.

Answer 7: (B)

“was” is used instead of “were”. The whole block is considered a singular subject and the singular subject takes a singular verb.

Answer 8: (D)

when two nouns get added with the use of ‘and’ and a possessive adjective article is used before both nouns then we use a plural verb but when the possessive adjective article is used with only one noun then it is considered to be one and hence singular verb is used.

Answer 9: (D)

No article is used between By and Means of transport.
Before comfortable “a” should be used.
Before “express”, “an” will be used as there is a vowel at the start.
Before “train”, “a” will be used.

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Frequently Asked Questions (FAQs)

1. What is a quadratic function?

A quadratic function is a degree two polynomial function in which the variable's maximum exponent is 2.

2. What are the roots of a quadratic equation?

The roots are the values of 'x' for which the quadratic equation is true, indicating where the graph intersects the x-axis.

3. How many roots can a quadratic equation have?

There can be 1, 0, or 2 roots in a quadratic equation.

4. What are real roots?

Real roots are real-valued equation solutions. This implies that they may be positive, negative, or zero, but not imaginary or complex. The real roots of the equation x^2-4=0 are x=2 and x=-2, which are both real values that satisfy the equation. Simply said, real roots are the values of a variable that satisfy the equation and may be found on the number line. 

5. Do these practice tests help me to score well?

Yes absolutely, practices will make you better, helping in increase of speed and accuracy.

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Hello,

A blurry signature on your CAT admit card may raise concerns, as it could be difficult for authorities to verify your identity. However, if the rest of the admit card details, such as your photograph and personal information, are clear and accurate, it might not cause an immediate issue. It's advisable to ensure that your signature is clear during future document submissions.

But if your signature is still recognizable, even if it's slightly blurry, it should generally not cause a major issue. As long as the exam authorities can identify your signature, they may accept it. However, it's always best to ensure that all details on your admit card are clear to avoid any potential problems during the exam.

To know more about CAT admit card, visit: https://bschool.careers360.com/articles/cat-admit-card

Hope it helps !

If you have a leg fracture and are scheduled to appear for the CAT entrance exam, it’s best to contact the CAT exam conducting authorities directly rather than the local exam center alone. CAT is managed centrally by the Indian Institutes of Management (IIMs), and they have established protocols for handling candidates with medical needs. Informing the CAT exam cell (via their official contact channels) will ensure that your request is processed appropriately and documented centrally.


You should explain your medical situation and, if needed, request specific arrangements, such as additional assistance to navigate the exam center or seating adjustments. While reaching out to the CAT exam cell, you may also inquire if additional documentation, such as a medical certificate, is required to facilitate the arrangements. Additionally, contacting the allotted test center as a secondary step could be beneficial, as the local administrators may also help with on-ground assistance.


For official contact information, refer to the CAT website’s helpdesk or contact page, which will have the latest guidelines for handling such requests. Taking these steps should ensure a smoother exam experience despite your injury.

https://bschool.careers360.com/articles/cat-eligibility-criteria


Hello aspirant,

If you signature is blur and readable or visible then it will not cause any problem but if it is too much blur or not visible then it can cause the problem. I suggest you to correct you signature at the time when correction window opens.

Thank you

Hope it helps you

Yes, you can certainly attempt the CAT exam with a fractured leg, but there are a few practical considerations to help make the experience smoother. Since CAT is a computer-based test (CBT) and requires candidates to be seated for a few hours, it's essential to ensure you’re comfortable during this time. To manage discomfort, consider arranging seating adjustments or leg support if needed. You may also need assistance getting to the exam center and moving around, as most exam centers may not allow additional mobility devices unless pre-arranged.


The CAT exam authorities generally don’t have special accommodations specifically for fractured limbs, but they do provide support for candidates with disabilities. You could reach out to the exam organizers or your designated exam center to discuss any specific needs, such as seating arrangements. Also, be mindful of pain management strategies; consult your doctor for guidance on managing pain during the exam and consider adjusting your study posture to prevent strain.


Ultimately, with careful planning and by reaching out for any necessary accommodations, it is entirely possible to successfully attempt CAT with a fractured leg.

To access your free CAT mock tests on the Career 360 app first of all enroll yourself for free mock test then , log in to your account and navigate to the "CAT Preparation" section within the app. You should see a dedicated area for mock tests where you can access and take the ones you've enrolled for.

Here are a few steps to follow:

1.Open the Career 360 app: Launch the app on your phone or device.

2.Login with your credentials: Use your registered email and password to log in to your account.

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If you are still having problem in accessing free cat mock test contact support from career 360 app your problem or issue will be resolved in 24 hours and you will be able to give free mock test.apart from this you can check preparation study material on our app.

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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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