CAT 2017: Logical Reasoning Question 1 Venkatesan IIMB Alumnus

Funky Pizzaria was required to supply pizzas to three different parties. The total number of pizzas it had to deliver was 800, 70% of which were to be delivered to Party 3 and the rest equally divided between Party 1 and Party 2. Pizzas could be of Thin Crust (T) or Deep Dish (D) variety and come in either Normal Cheese (NC) or Extra Cheese (EC) versions. Hence, there are four types of pizzas: T-NC, T-EC, D-NC and D-EC. Partial information about proportions of T and NC pizzas ordered by the three parties is given below: Thin Crust(T) 0.6 0.55 Normal Cheese(NC) Party 1 Party 2 Party 3 Total 0.3 0.65 0.52 0.375

Question No.:1 How many Thin Crust pizzas were to be delivered to Party 3? A) 398 B) 162 C) 196 D) 364

Question No.: 2 How many Normal Cheese pizzas were required to be delivered to Party 1? A) 104 B) 84 C) 16 D) 196

Question No.: 3 For Party 2, if 50% of the Normal Cheese pizzas were of Thin Crust variety, what was the difference between the numbers of T-EC and D-EC pizzas to be delivered to Party 2? A)18 B) 12 C) 30 D) 24

Question No.: 4 Suppose that a T-NC pizza cost as much as a D-NC pizza, but 3/5th of the price of a D-EC pizza. A D-EC pizza costs Rs. 50 more than a T-EC pizza, and the latter costs Rs. 500. If 25% of the Normal cheese pizzas delivered to Party 1 were of Deep Dish variety, what was the total bill for Party 1? A) Rs. 59480 B) Rs. 59840 C) Rs. 42520 D) Rs. 45240

Funky Pizzaria was required to supply pizzas to three different parties. The total number of pizzas it had to deliver was 800, 70% of which were to be delivered to Party 3 and the rest equally divided between Party 1 and Party 2. Pizzas could be of Thin Crust (T) or Deep Dish (D) variety and come in either Normal Cheese (NC) or Extra Cheese (EC) versions. Hence, there are four types of pizzas: T-NC, T-EC, D-NC and D-EC. Partial information about proportions of T and NC pizzas ordered by the three parties is given below: Thin Crust(T) 0.6 0.55 Normal Cheese(NC) Party 1 Party 2 Party 3 Total 0.3 0.65 0.52 0.375

Thin Crust(T) 0.6 0.55 Normal Cheese(NC) Party 1 Party 2 Party 3 Total 0.3 0.65 0.52 0.375 T-EC 72% 66-Y 162-Z D-Total 48 54 398 T-NC T-Total D-NC D-EC 48-W 18+Y 34+Z 72 36-Y 162 364-Z

Question No.:1 How many Thin Crust pizzas were to be delivered to Party 3? A) 398 B) 162 C) 196 D) 364

Question No.: 1 How many Thin Crust pizzas were to be delivered to Party 3? A) 398 B) 162 C) 196 D) 364 T-NC T-EC 72% 66-Y 162-Z T-Total D-NC D-EC 48-W 18+Y 34+Z D-Total 48 54 398 72 36-Y 162 364-Z

Question No.: 2 How many Normal Cheese pizzas were required to be delivered to Party 1? A) 104 B) 84 C) 16 D) 196

Question No.: 2 Thin Crust(T) NC 0.6 0.55 Party 1 Party 2 Party 3 Total How many Normal Cheese pizzas were required to be delivered to Party 1? 0.3 0.65 0.52 A) 104 B) 84 C) 16 D) 196 0.375 T-NC T-EC 72% 66-Y 162-Z T-Total D-NC D-EC 48-W 18+Y 34+Z D-Total 48 54 398 72 36-Y 162 364-Z X+ Y +ZW 36-Y 364-Z 416 X W- 16

Question No.: 3 Thin Crust(T) NC 0.6 0.55 For Party 2, if 50% of the Normal Cheese pizzas were of Thin Crust variety, what was the difference between the numbers of T-EC and D-EC pizzas to be delivered to Party 2? Party 1 Party 2 Party 3 Total 0.3 0.65 0.52 0.375 A) 18 B) 12 C) 30 D) 24 T-NC T-EC 72% 66-Y 162-Z T-Total D-NC D-EC 48-W 18+Y 34+Z D-Total 48 54 398 72 36-Y 162 364-Z Y 36 Y 36 50% 18 T-EC 48; D-EC 36

Question No.: 5 There were seven elective courses El to E7 - running in a specific term in a college. Each of the 300 students enrolled had chosen just one elective from among these seven. However, before the start of the term, E7 was withdrawn as the instructor concerned had left the college. The students who had opted for E7 were allowed to join any of the remaining electives. Also, the students who had chosen other electives were given one chance to change their choice. The table below captures the movement of the students from one elective to another during this process. Movement from one elective to the same elective simply means no movement. Some numbers in the table got accidentally erased; however, it is known that these were either 0 or 1.

Further, the following are known: 1. Before the change process there were 6 more students in E1 than in E4, but after the reshuffle, the number of students in E4 was 3 more than that in E1 2. The number of students in E2 increased by 30 after the change process. 3. Before the change process, E4 had 2 more students than E6, while E2 had 10 more students than E3 How many elective courses among E1 to E6 had a decrease in their enrollments after the change process? A) 4 B) 1 C) 2 D) 3

Question No.: 6 After the change process, which of the following is the correct sequence of number of students in the six electives El to E6? A) 19, 76, 79, 21, 45, 60 B) 19, 76, 78, 22, 45, 60 C) 18, 76, 79, 23, 43, 61 D) 18, 76, 79, 21, 45, 61

Question No.:7 After the change process, which course among El to E6 had the largest change in its enrollment as a percentage of its original enrollment? A) EI B) E2 C) E3 D) E6

Question No.: 8 Later, the college imposed a condition that if after the change of electives, the enrollment in any elective (other than E7) dropped to less than 20 students, all the students who had left that course will be required to re-enroll for that elective. Which of the following is a correct sequence of electives in decreasing order of their final enrollments? A) E2, E3, E6, E5, El, E4 B) E3' E2, E6, E5, E4, El C) E2, E5, E3, El, E4, E6 D) E2, E3, E5, E6, El, E3

Question No.: 1O An old woman had the following assets: (a) Rs. 70 lakh in bank deposits (b) 1 house worth Rs. 50 lakh (c) 3 flats, each worth Rs. 30 lakh (d) Certain number of gold coins, each worth Rs. 1 lakh She wanted to distribute her assets among her three children; Neeta, Seeta and Geeta. The house, any of the flats or any of the coins were not to be split. That is, the house went entirely to one child; a flat went to one child and similarly, a gold coin went to one child.

Question No.:11 An old woman had the following assets: (a) Rs. 70 lakh in bank deposits (b) 1 house worth Rs. 50 lakh (c) 3 flats, each worth Rs. 30 lakh (d) Certain number of gold coins, each worth Rs. 1 lakh She wanted to distribute her assets among her three children; Neeta, Seeta and Geeta. The house, any of the flats or any of the coins were not to be split. That is, the house went entirely to one child; a flat went to one child and similarly, a gold coin went to one child.

The value of the assets distributed among Neeta, Seeta and Geeta was in the ratio of 1:2:3, while the gold coins were distributed among them in the ratio of 2:3:4. One child got all three flats and she did not get the house. One child, other than Geeta, got Rs. 30 lakh in bank deposits. How much did Geeta get in bank deposits (in lakhs of rupees)? A) 20 B) C) D)

Question No.: 13 At a management school, the oldest 10 dorms, numbered 1 to 10, need to be repaired urgently, The following diagram represents the estimated repair costs (in Rs. Crores) for the 10 dorms. For any dorm, the estimated repair cost (in Rs. Crores) is an integer. Repairs with estimated cost Rs. 1 or 2 Crores are considered light repairs, repairs with estimated cost Rs. 3 or 4 are considered moderate repairs and repairs with estimated cost Rs. 5 or 6 Crores are considered extensive repairs

Further, the following are known: 1. Odd-numbered dorms do not need light repair; even-numbered dorms do not need moderate repair and dorms, whose numbers are divisible by 3, do not need extensive repair. 2. Dorms 4 to 9 all need different repair costs, with Dorm 7 needing the maximum and Dorm 8 needing the minimum Which of the following is NOT necessarily true? A) Dorm 1 needs a moderate repair B) Dorm 5 repair will cost no more than Rs. 4 Crores C) Dorm 7 needs an extensive repair D) Dorm 10 repair will cost no more than Rs. 4 Crores

Question No.: 16 Suppose further that: 1. 4 of the 10 dorms needing repair are women's dorms and need a total of Rs. 20 Crores for repair 2. Only one of Dorms 1 to 5 is a women's dorm. Which of the following is a women's dorm? A) Dorm 2 B) Dorm 5 C) Dorm 8 D) Dorm 10

5. Cup 2 got the minimum rating and this rating was an even number. 6. Tea in Cup 3 got a higher rating than that in Cup 1 7. The rating of tea from Wayanad was more than the rating of tea from Munnar, but less than that from Assam. What was the second highest rating given? A)7B)C)D)

Question No.: 19 A tea taster was assigned to rate teas from six different locations - Munnar, Wayanad, Ooty, Darjeeling, Assam and Himachal. These teas were placed in six cups, numbered 1 to 6, not necessarily in the same order. The tea taster was asked to rate these teas on the strength of their flavour on a scale of 1 to 10. He gave a unique integer rating to each tea. Some other information is given below: 1. Cup 6 contained tea from Himachal 2. Tea from Ooty got the highest rating, but it was not in Cup 3. 3. The rating of tea in Cup 3 was double the rating of the tea in Cup 5 4. Only two cups got ratings in even numbers

5. Cup 2 got the minimum rating and this rating was an even number. 6. Tea in Cup 3 got a higher rating than that in Cup 1 7. The rating of tea from Wayanad was more than the rating of tea from Munnar, but less than that from Assam If the tea from Munnar did not get the minimum rating, what was the rating of the tea from Wayanad? A) 3 B) 5 C) 1 D) 6

Question No.: 200 A tea taster was assigned to rate teas from six different locations - Munnar, Wayanad, Ooty, Darjeeling, Assam and Himachal. These teas were placed in six cups, numbered 1 to 6, not necessarily in the same order. The tea taster was asked to rate these teas on the strength of their flavour on a scale of 1 to 10. He gave a unique integer rating to each tea. Some other information is given below: 1. Cup 6 contained tea from Himachal 2. Tea from Ooty got the highest rating, but it was not in Cup 3. 3. The rating of tea in Cup 3 was double the rating of the tea in Cup 5 4. Only two cups got ratings in even numbers

Question No.: 244 In an 8 X 8 chessboard a queen placed anywhere can attack another piece if the piece is present in the same row, or in the same column or in any diagonal position in any possible 4 directions, provided there is no other piece in between in the path from the queen to that piece. The columns are labelled a to h (left to right) and the rows are numbered 1 to 8 (bottom to top). The position of a piece is given by the combination of column and row labels. For example, position c5 means that the piece is in cth column and 5th row Suppose the queen is the only piece on the board and it is at position d5. In how many positions can another piece be placed on the board such that it is safe from attack from the queen? A) 32 B) 35 C) 36 D) 37

In which row was Manik sitting? A) 10 B) 11 C) 12 D) 13

Cheap Air charges Rs. 1000 extra for any seats in Rows 1, 12 and 13 as those have extra legroom. For Rows 2-10, it charges Rs. 300 extra for Window seats and Rs. 500 extra for Aisle seats. For Rows 11 and 14 to 20, it charges Rs. 200 extra for Window seats and Rs. 400 extra for Aisle seats. All other seats are available at no extra charge. The following are known: 1. The eight friends were seated in six different rows. 2. They occupied 3 Window seats, 4 Aisle seats and 1 Middle seat. 3. Seven of them had to pay extra amounts, totaling to Rs. 4600, for their choices of seat. One of them did not pay any additional amount for his/her choice of seat. 4. Jayanta, Ajit and Byomkesh were sitting in seats marked by the same letter, in consecutive rows in increasing order of row numbers; but all of them paid different amounts for their choices of seat. One of these amounts may be zero. 5. Gargi was sitting next to Kikira, and Manik was sitting next to Jayanta. 6. Prodosh and Tapesh were sitting in seats marked by the same letter, in consecutive rows in increasing order of row numbers; but they paid different amounts for their choices of seat. One of these amounts may be zero.

Cheap Air charges Rs. 1000 extra for any seats in Rows 1, 12 and 13 as those have extra legroom. For Rows 2-10, it charges Rs. 300 extra for Window seats and Rs. 500 extra for Aisle seats. For Rows 11 and 14 to 20, it charges Rs. 200 extra for Window seats and Rs. 400 extra for Aisle seats. All other seats are available at no extra charge. The following are known: 1. The eight friends were seated in six different rows. 2. They occupied 3 Window seats, 4 Aisle seats and 1 Middle seat. 3. Seven of them had to pay extra amounts, totaling to Rs. 4600, for their choices of seat. One of them did not pay any additional amount for his/her choice of seat. 4. Jayanta, Ajit and Byomkesh were sitting in seats marked by the same letter, in consecutive rows in increasing order of row numbers; but all of them paid different amounts for their choices of seat. One of these amounts may be zero 5. Gargi was sitting next to Kikira, and Manik was sitting next to Jayanta. 6. Prodosh and Tapesh were sitting in seats marked by the same letter, in consecutive rows in increasing order of row numbers; but they paid different amounts for their choices of seat. One of these amounts may be zero.

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Venkatesan S

IIM Bangalore Alumni | Cleared CAT 2015 | Cleared IIM B, C, L, K & I

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Hamid Khan

3 years ago

Good job sir. Mcq with basics.

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