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 Tortillas 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 Tortillas 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 have been five good friends since their Jadavpur University days and have had 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 curb 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.

The next morning, on Sunday, during breakfast time the five friends found that only one-eighth 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-fifths of the original number of rasgullas were left in the pot

h) When Dibyendu had finished eating, more than one-eighth 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?