CAT 2023 Slot 2 — DILR Question 3

Mixed PracticeEasy

Passage / Data

Answer the following questions based on the information given below:

Odsville has five firms – Alfloo, Bzygoo, Czechy, Drjbna and Elavalaki. Each of these firms was founded in some year and also closed down a few years later.

Each firm raised Rs. 1 crore in its first and last year of existence. The amount each firm raised every year increased until it reached a maximum, and then decreased until the firm closed down. No firm raised the same amount of money in two consecutive years. Each annual increase and decrease was either by Rs. 1 crore or by Rs. 2 crores.

The table below provides partial information about the five firms.

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What is the largest possible total amount of money (in Rs. crores) that could have been raised in 2013?

Answer & solution

Correct answer: 17

Answer: 17

Solution

Easy

"Largest possible total in 2013" — for each firm independently pick the case that maximises its 2013 amount, then add. (They are independent, so we can max each one separately.)

Recall the 2013 column from the master grid: Alfloo is $5$ or $4$ , Bzygoo is $2$ or $3$ , Czechy is fixed at $1$ (its first year), Drjbna is fixed at $4$ (its peak), Elavalaki is $3$ , $4$ or $3$ across its three cases.

Take the maximum 2013 value available to each firm:

\begin{aligned} &\text{Alfloo}=5\ (\text{Case 1}),\quad \text{Bzygoo}=3\ (\text{Case 2}),\quad \text{Czechy}=1,\\ &\text{Drjbna}=4,\quad \text{Elavalaki}=4\ (\text{Case 2}). \end{aligned}

Sum the maxima:

5+3+1+4+4 = 17.

\textbf{17 crores}

CAT 2023 Slot 2 — DILR Question 3

Answer & solution

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