CAT 2017 – Slot 2 – Logical Reasoning and Data Interpretation – Funky Pizzaria was required to supply pizzas to three different parties

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  (NC)
Party 1 0.6  
Party 2 0.55 0.3
Party 3   0.65
Total 0.375 0.52

Q. 1: How many Thin Crust pizzas were to be delivered to Party 3?
A) 398
B) 162
C) 196
D) 364

Q. 2: How many Normal Cheese pizzas were required to be delivered to Party 1?
 A) 104
B) 84
C) 16
D) 196

Q. 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

Q. 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

Q1: Option (B)

Q2: Option (C)

Q3: Option (B)

Q4: Option (A)

Solutions

Q1 With the original table given in the question 0.375*800 – (0.6+0.55)*120 = 162¬ Option (B)

 

Q2 With the original table given in the question 0.52*800-0.3*120-0.65*560 = 16 Option (C)

 

Q3  With the original table given in the question 120*((0.55-0.3/2) – (0.45-0.3/2)) = 120*(0.4-0.3) = 12 Option (B)

 

Q4  Cost of normal cheese pizza = 3/5th of (500 + 50) = 330 Number of normal cheese pizzas from Q2 = 16 From the remaining 120 – 16 = 104 pizzas, 0.6*120 – 25% of 16 = 60 are thin crust and the remaining 44 are Deep dish Total cost = 60*500 + 44*550 + 16*330 = 59480 Option (A)

Checkout Other Questions of CAT 2017 Slot 2 Paper:

Verbal Ability :              |   Q.01- Q.06  |  Q.07- Q.12  |  Q.13- Q.18  |  Q.19- Q.21  |  Q.22- Q.24  |  Q.25- Q.29  |  Q.30 – Q.34  |

Logical Reasoning :    |   Q.01- Q.04 Q.05- Q.08  |  Q.09- Q.12  |  Q.13- Q.16  |  Q.17- Q.20 Q.21- Q.24  |  Q.25 – Q.28  |   Q.29 – Q.32  |

Quantitative Aptitude: |   Q.01- Q.05  |   Q.06- Q.10Q.11- Q.15  |  Q.16- Q.20  |  Q.21- Q.25  |   Q.26- Q.30  |  Q.31 – Q.34  |

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