CAT Introduction to Logical Deductions and Connections - Practice Questions & MCQ

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 ?

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 ?

Directions for question

Anirban, Biswajit, Charbak, Dibyendu and Emon were five good friends since their Jadavpur University days, and were having an offshore posting in Manila for M/s CTS for the last few years. They were all Bengalis and shared the same bachelor accommodation in Manila. The CTS South-East Asia Team Head Mr Chatterjee brought them a big earthen pot of rasgullas from Kolkata as a personal gift during his Manila visit on a Saturday. 

They decided to enjoy the delicacy rare for a resident of Manila, on Sunday, an off day for them. They kept the pot in the refrigerator. 

Now, Bengalis inherently have a sweet tooth, and hence are extremely fond of rasgullas. Being young men, they found it extremely difficult to cub their urge to have a taste of the sweet. During the night, at different times, they stealthily raided the refrigerator, without the knowledge of the others, to eat a few of the rasgullas.

Next morning, on the Sunday, during breakfast time the five friends found that only one-eight of the original number of rasgullas remained in the pot. 

It was also known that :

a) Emon ate the rasgullas before Dibyendu did

b) None of them ate more than half the number of rasgullas that were there in the pot when they went to eat it

c) The friend who ate last ate only one-fourth of the rasgullas that were remaining in the pot when he went to eat it

d) Emon ate half of the rasgullas that were left in the pot when he went to eat it

e) Anirban ate the same number of rasgullas as Emon did

f) Dibyendu ate the rasgullas after Charbak did

g) When Anirban went to eat the rasgullas, only four-fifth of the original number of rasgullas were left in the pot

h) When Dibyendu had finished eating, more than one-eight of the original number of rasgullas was left 

Question

Who among the following options had eaten the least percentage of the number of rasgullas compared to the number of rasgullas remaining when he went to eat it ?

Directions for question:

In the March 2022 Russian-Ukraine confrontation, a large number of Russian GRU field intelligence operatives were operating in Ukraine territory. 

But after a few months, made suspicious by a few not so normal intelligence leaks at the field level, the head of GRU, Admiral Igor Kostyukov, got suspicious. He decided to form a committee of four members out of the eight elite and loyal Spetsnaz commandos of the rank of Colonel in the GRU – A to H. Out of them, apart from being ruthless operatives, Colonel B and Colonel C had an excellent cover for themselves, being the star players in the Russian men’s ice-hockey team which in February 2022 won silver at the Winter Olympics in Beijing. The Admiral wanted the committee members to infiltrate the Ukrainian intelligence network as upper class family-men, and hence made it clear that the committee so formed should have two male and two female Spetsnaz Colonels.

He appointed his five GRU Directorate Heads to suggest their choice for the members of the committee out of the eight Colonels. 

The report of suggestions placed at Admiral Kostyokov’s table within a day was as follows :

It was also noted that in all the suggestions made above there was exactly one married couple present, except the suggestions of the GRU Directorate 5 Head, where there was none.

Question:

Which of the following must be a married couple 

Directions for question :

The interview panel at IIM Calcutta decided to interview eight candidates – Mr Partha, Mr Quereshi, Dr Ratan (MBBS), Mr Subir, Mr Tanmoy, Mr Umesh, Mr Vittal and Mr William, on the 24th January 2023. All the eight candidates were practicing professionals -- four being engineers, two being accountants, one being a professor in English and one being a general physician. Each candidate had scored a different percentile in CAT 2022.

It was decided that each candidate would be called at forty minute intervals starting from 11.00 am on 26th February 2023 at the Tata Hall in the IIM Calcutta campus.

It was also known that :

a) Mr Williams was the English professor with a 99.97 percentile

b) Mr Quereshi, who had a 98.87 percentile was called at 1.00 pm

c) Mr Partha was the accountant who was called at 2.20 pm

d) Dr Ratan (MBBS) was called after 2.20 pm

e) Neither the first nor the last interviewee was an engineer

f) Mr Umesh, who had scored 99.43 percentile was an engineer

g) The engineer with a percentile of 98.35 was called at 12.20 pm

Question :

If Mr Subir was an accountant who was called at 3.00 pm, then which of the following options may not be definitely correct ?