CAT 2024 Practice Test Series 14 - QA, LRDI & VARC | Day 56

CAT 2024 Practice Test Series 14 - QA, LRDI & VARC | Day 56

Edited By Irshad Anwar | Updated on Sep 18, 2024 05:10 PM IST | #CAT

Hello CAT exam 2024 aspirants,

CAT Practice Test-14

We are on the last days in this 60-day CAT 2024 preparation guide series. The CAT exam for MBA admissions from 2025-2027 will be held on November 24. The exam date is quickly approaching at this point. For day 56 of Careers360's 60-day CAT 2024 preparation guide series, we are here with a CAT Practice Test which is a free sectional mock test for CAT.

CAT 2024 Practice Test Series 14 - QA, LRDI & VARC | Day 56
CAT 2024 Practice Test Series 14 - QA, LRDI & VARC | Day 56

CAT 2024 Practice Test: Best Free Mock Test For CAT

This free sectional mock test for CAT consists of subjects and topics-specific questions and answers. Candidates should download the best free mock test for CAT and finish the Practice Test Series from all three subjects to get the best idea of what the requirements are for the CAT exam 2024. Based on the 55 days of lessons, this CAT Practice Test

includes comprehensive solutions. You can ace the exam in 2024 by using this free sectional mock test for the CAT.

This CAT previous year question paper of CAT 2024 Practice Test Series consists of three Sections:

CAT mock test Part- A consists of 8 questions.

CAT mock test Part- B consists of 8 questions.

CAT mock test Part- C consists of 8 questions.

CAT Test Series Part- A: Quantitative Aptitude

Q1. If the mean and mode of distribution are 7 and 9 respectively, then the median is?

  1. 7

  2. 8.33

  3. 7.66

  4. None of the above

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Ans: [3]

As we know

2 Mean + Mode = 3 Median

So, 2 x 7 + 9 = 3 x Median

Median = 23/3 = 7.66.

Q2. The quartile deviation of 2, 7, 11, 14, 12, 13, 9 is

  1. 2

  2. 13

  3. 3

  4. 6.5

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Ans: [3]

Write the data in ascending order 2, 7, 9, 11, 12, 13, 14

Q1= 7

Q2= 11

Q3= 13

Quartile deviation = (Q3 – Q1)/2 = (13- 7)/2 = 3.

Q3. The median of the first 16 prime numbers is

  1. 17

  2. 23

  3. 19

  4. 21

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Ans: [4]

Median of 1st 16 terms will be the average of the 8th and 9th terms.

So, 8th prime number = 19

And 9th prime number = 23

So median = (19+ 23)/2 = 21

Q4. The geometric mean of √8, √27, 2,and √3 is

  1. √6

  2. 6

  3. 36

  4. 9

Ans: [1]

GM = [√8 x 27 x 2 x √3]1/4

GM = [36]1/4

GM = √6

Q5. Express the following expression in the form of a + bi

i13+ i23

Options:

  1. 0

  2. i

  3. -i

  4. -1

Ans: [1]

i = -1; i2 = -1; i3 = -i; i4 = 1

i13 = i12+1 = i

i23 = i20+3 = i3 = -i

So, i13+ i23 = i – i = 0.

Q6. The least value for n, in the expression {(1 - i) / (1 + i)}n for which the expression has a positive integer value. where n is a real number [TITA]

Solution:

(1 - i) / (1 + i) = (1 - i)2 / [(1 + i) (1 – i)]

= [1 +i2-2i]/[1 -i2]

= [-2i]/2 = -i

So, {(1 - i) / (1 + i)}n = (-i)n

For an expression to be a positive integer, the least value of n must be 2.

Direction Q7- Q8:

  1. Statement (1) ALONE is sufficient, but statement (2) ALONE is not sufficient to answer the question asked.

  2. Statement (2) ALONE is sufficient, but statement (1) ALONE is not sufficient to answer the question asked.

  3. BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.

  4. EACH statement ALONE is sufficient to answer the question asked.

  5. Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

Q7. Joshan lent one part of the amount of money at a 12% rate of simple interest and the remaining at an 18% rate of simple interest, both for one year. At what rate was the larger part lent?

  1. The total amount lent was $3600.

  2. The average rate of simple interest he received on the total amount was 16%.

Ans: [B]

Statement 1:

It is not sufficient. No information is there.

Statement 2:

Let Rs x be lent at the rate of 12% per annum and Rs y at the rate of 18% per annum.

So, as per question

16% (x+ y) = 12% of x + 18% of y

⇒ 4% of x = 2% of y

⇒ x/y = ½

⇒ y> x

So, the larger part of rent at 18% per annum.

Statement 2 alone is sufficient to answer the question.

Q8. Each Month Andrew receives a base salary of $1700, plus a 20 percent bonus on the total amount of his sales in excess of $1,5000. What was the total amount of Andrew’s sales last month?

  1. Last month Andrew’s total salary was 120% of his basic pay.

  2. Last month Andrew donated his commission which was 25% more than that of the previous month.

Ans: [A]

Statement 1:

Total salary= Basic Pay + Commission

Basic Pay = 100% = $1700

Commission = 120-100= 20% of basic pay = 20% of total sales

So, total sales = basic pay

Statement 1 alone is sufficient.

Statement 2:

As no information is given about the previous month's sales, the current month's sales cannot be calculated.

Statement 2 alone is not sufficient.

CAT Practice Test Part B: LRDI Logical Reasoning and Data Interpretation) Passage: (Q1-Q4)

Ten teams that were to take part in the Champions Challenge were divided into two pools – Pool A and Pool B. Each team in a pool was to play every other team in that pool. Two points are awarded for a win and zero points for a loss with there being no draws or ties. The top three teams in each pool would advance to the next stage called the super six stage and they would carry forward all points they scored in matches against the other two teams which advanced to the super six stages from its pool.

In the super six stages, all teams that advance from pool A are to be in group 1 and all teams that advance from pool B are to be in group 2. Each team in group 1 plays against every team in group 2, with points awarded as in the pool stage. At the end of the super six stages the top two teams in each group, according to their total points (super six points + carry forward points) advance to the semi-finals with the top team in group 1 playing the second team from group 2 and vice versa. The winners of the semi-finals advance to the finals. If two or more teams end up with the same number of points at the end of the pool or the super six stage, the tie is resolved using tiebreak rules.

Q1. The total number of matches in the tournament are

  1. 24

  2. 18

  3. 32

  4. 64

Q2. The number of points scored by a team which advanced to the super six stages is at least

  1. 2

  2. 3

  3. 5

  4. 4

Q3. The total points (super six points + carry forward points) of a team that advanced to the semi-finals is at least

  1. 2

  2. 3

  3. 5

  4. 4

Q4. The maximum number of wins by a team that failed to advance to the semi-finals is

  1. 2

  2. 3

  3. 5

  4. 6

Solution:

In the pool stage, as each team plays every other team once, the total matches in each pool is 10. In the super six stages, the total number of matches is 9. ∴ The total matches = 20 + 9 + 2 + 1 = 32. In the pool stage, the total number of points available in each pool is 10 × 2 = 20. As there are five teams, each team can end with four points and two of the teams can be eliminated (or) One team can win all matches and get 8 points, another team 6 points and the three other teams 2 points each and one of them can advance to the super six.

Ans 1: The total number of matches in the tournament is 32. Choice (C)

Ans 2: The number of points scored by a team which advanced to the super six stages is at least 2. Choice (A)

Ans 3: Among the top three teams advancing to the super six stages from each group either all of them would carry forward 2 points each (or) one team would carry forward 4 points, the second team 2 points and the third team zero points. Even if all three teams lose all their super six matches, two teams would advance from this group and so a team with a total of 2 points can advance to the semi-finals. Choice (A)

Ans 4: Three teams can end up with 6 points each at the end of the pool stage, i.e., three wins each. Now, these teams can win all their matches in the super six stages, but one of these teams would be eliminated. ∴a team with 3(in the pool stage) + 3(in the super six stage) wins can be eliminated. Choice (D)

Passage: (Q5- Q8)

Geeta and Neeta are playing a game which involves picking up coins kept on a table. The players take turns alternately and each player in her turn has to pick at least two and at most five coins except when there is only one coin left on the table and the player has to pick that coin in her turn. Both players are equally intelligent and play to the best of their abilities to win the game. Additional data for questions 5 and 6: Assume that the player who picks up the last coin loses the game.

Q5. During a game, when it was Geeta’s turn to play, there were 32 coins left on the table. Which of the following can be the number of coins Geeta should pick up so as to win the game, no matter how Neeta plays?

  1. 1

  2. 2

  3. 4

  4. 5

Ans: [B]

To ensure her win Geeta has to make sure that there are one or two coins left when it is Neeta’s turn to play. In each round, Geeta can make sure that seven coins (2 + 5) leave the table.

∴ The number of coins left on the table before Neeta’s turn must be of the form 7n + 1 or 7n + 2 where n is an integer. As there are 32 coins left on the table, she must remove two or three coins, so that the coins left over are of the form 7n + 1 or 7n + 2

Q6. During Neeta’s turn if she removed four coins from the table which made sure that she won the game, then which of the following could have been the number of coins on the table before she removed the four coins?

  1. 45

  2. 52

  3. 76

  4. None of these

Ans: [C]

The number of coins left after Neeta’s turn must be of the form 7n + 1 or 7n + 2. As she removed four coins, the number of coins would here be of the form 7n + 5 or 7n + 6. Only choice (C) satisfies this condition. Choice (C)

Additional data for questions 7 and 8: Assume that the player who picks up the last coin wins the game.

Q7. During a game when it was Neeta’s turn to play, there were 28 coins left on the table. Which of the following is the number of coins she should pick up so as to ensure her win?

  1. 1

  2. 2

  3. 4

  4. Neeta cannot win

Ans: [D]

When the person who picks up the last coin wins the game, one has to make sure that when it is the other person’s turn to play there are six or seven coins left on the table so that whatever the other person plays, one can pick the last coin in his/her turn.

∴ The number of coins left on the table before Geeta’s turn has to be of the form 7n or 7n – 1. As there as 28 coins left on the table, which is of the form 7n, whatever Neeta plays, the number of coins left will not be of the form ‘7n or 7n – 1’ before Geeta’s turn ie Neeta cannot win no matter what she does.

Q8. If during her turn Neeta had to remove two coins so as to ensure her win, then which of the following could have been the number of coins on the table before she removed the coins?

  1. 25

  2. 30

  3. 50

  4. More than one of the above

Ans: [D]

As Neeta removed 2 coins, the number of coins was of the form 7n + 2 or 7n + 1. Choices (B) and (C) satisfy this. Choice (D)

CAT Practice Test Part C: VARC (Verbal Ability & Reading Comprehension)

Q1. Statement: Should religion be included in the curriculum of graduation courses?

Arguments:

I. No, we live in a secular state

II. Yes, teaching religion helps in developing moral values among students.

III. No, how can one dream of such a step when we want our young generation to fulfil their roles in this century?

  1. All are strong

  2. None is strong

  3. Only I is strong

  4. Only II is strong

  5. Only I and III are strong

Ans: [D]

Argument I: Being a secular state does not mean that religion or religious values should be eradicated. Weak argument.

Argument II: Yes, it helps to develop moral values. So, it is a strong argument.

Argument III: does not relate to religion. Weak argument.

Q2. Statement: The government decided to include the income generated out of agricultural activities in Tax. Should it have happened?

Arguments:

I. No, Natural calamities are making Farmers suffer a lot.

II. Yes, around 70% of the population is earning from agriculture and hence their income should be taxed.

III. Yes, many farmers are earning much more than most services men and they should be taxed to remove unfairness.

  1. All are strong

  2. None is strong

  3. Only I is strong

  4. Only II is strong

  5. Only II and III are strong

Ans: [E]

Argument I: If due to natural calamity, they earn less than they will not come under taxpayers as per Income tax act. This is a weak argument.

Argument II: Yes, if more people pay taxes, the economy of our country will be strong. Strong argument.

Argument III: If they are earning more, they should pay taxes. Strong argument.

Q3. Statement: I cannot connect you on zoom meeting at the Himalayas.

Assumptions:

I. Internet facility is not available there.

II. Nowadays, it is difficult to connect to the internet.

  1. Only I is implicit

  2. Only II is implicit

  3. Either I or II is implicit

  4. Neither I nor II is implicit

  5. Both implicit

Ans: [A]

Clearly, the assumption I is implicit. If there is no internet facility then it is impossible to connect for online meetings. So, I is implicit.

Connecting to the internet is difficult but not impossible. So, II is not implicit.

Q4. Statement: ‘Triple your money in 6 months’- An advertisement in a newspaper.

Assumptions:

I. Advertisement is not genuine.

II. Everyone wants to multiply their money.

  1. Only I is implicit

  2. Only II is implicit

  3. Either I or II is implicit

  4. Neither I nor II is implicit

  5. Both implicit

Ans: [B]

Trueness of a statement cannot be judged. So, I is not implicit.

Advertisement is given after assuming that everyone wants to grow their money. So, II is implicit.

Q5. Statement: Until economic equality is achieved, the political freedom and democracy of any country are meaningless.

Conclusions:

I. Political freedom and democracy pass from generation to generation.

II. Economic equality brings real democracy.

  1. Only I is followed

  2. Only II is followed

  3. Either I or II is followed

  4. Neither I nor II is followed

  5. Both followed

Ans: [B]

I. There is no relation between political freedom and economical equality is given. So, will not follow.

II. Directly follows from the statement.

Q6. Statement: Nowadays, parents are prepared to pay any cost for good education for their children.

Conclusions:

I. All parents are very rich.

II. Parents are passionate about the development of their children through good education.

  1. Only I is followed

  2. Only II is followed

  3. Either I or II is followed

  4. Neither I nor II is followed

  5. Both followed

Ans: [B]

I. Irrelevant. Not follows.

II. Directly follows from the statement.

Q7. Write the correct phrase in place of underlined phrase. Whoever is chosen as the new chief, it is likely to take all the decisions for upcoming assembly elections.

  1. Who is chosen as the new chief, she is

  2. Whomever is chosen as the new chief, he is

  3. Whoever is chosen as the new chief is

  4. No correction required

Ans: [C]

Use of ‘who’ is incorrect.

‘Whomever’ is the wrong word in this context.

It is correct.

Q8. Write the correct phrase in place of underlined phrase. Indian Cricket star Virat Kohli has credited his former coach for having a positive effect on his game.

  1. to have had a positive effect on his game.

  2. with having had a positive effect on his game.

  3. as having a dramatic effect on his game.

  4. for having had a positive impact on his game.

Ans: [B]

Credit for- used to ascribe an achievement to someone.

Credit with- To give/get credit for something.

Credit to- normally used in the context of payment.

So, option B seems correct.

Hope you were able to practise the questions and were able to grasp the concepts.

Day 57 will be uploaded tomorrow

Keep practising and be focused

Thank you!

All the best!

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Questions related to CAT

Have a question related to CAT ?

With a 59.95 percentile in CAT 2024 and ST category, you can expect calls from newer IIMs like IIM Bodh Gaya, IIM Jammu, and IIM Sirmaur, as they have lower cutoffs for reserved categories. Non-IIM options like IIT Madras (MBA), NIT Trichy (MBA), and state universities like Delhi School of Economics (DSE) might also consider your profile. Apply to institutions that prioritize diversity and offer ST reservation. Ensure your application highlights strong academics and achievements.

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Hi,

Based on the previous year analysis, According to your CAT 2024 percentile some of the best colleges offering MBA and PGDM course in Telangana in which you have chances to get a seat are the following

  • GITAM School of Business, Hyderabad
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For more information about the colleges in which you have chances to get a seat you can predict using MBA college predictor tool provided below

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Hope this information will help you

Hi,

With a CAT 2024 score of 93.94 percentile, you have a good chance of getting calls from several IIMs. Here are some possibilities:

IIMs:

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  • Management Development Institute (MDI) Gurgaon

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CAT exam is conducted every year for purpose of admission to various prestigious business school and management institutes in India. The exam is also considered among toughest entrance exams in India. The exam rats the logical skills of the candidates. You can get the college list based on your CAT score by simply visiting CAT College Predictor 2024

Hi Sonu,

Preparing for CAT 2025 through self-study requires the right study materials, a structured plan, and consistent effort. CAT Syllabus comprises of Quantitative Aptitude (QA), Data Interpretation and Logical Reasoning (DILR), Verbal Ability and Reading Comprehension (VARC).

You can get more detailed information in the mentioned website of Careers360, it will be helpful enough for preparation of CAT 2025.

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All the best for your CAT preparation.

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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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