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CAT 2023 Slot 2 — DILR Question 4

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.

​​​​​​​

If Elavalaki raised Rs. 3 crores in 2013, then what is the smallest possible total amount of money (in Rs. crores) that could have been raised by all the companies in 2012?

Answer & solution

  • A

    10

  • B

    9

  • C

    12

  • 11

Solution

Easy

A condition is added — Elavalaki raised 33 in 2013 — which prunes its cases. Then minimise each firm's 2012 amount and add.

Apply the condition. Elavalaki's 2013 value is 33 only in Case 1 (1,2,4,3,2,11,2,4,3,2,1) or Case 3 (1,3,5,3,11,3,5,3,1); Case 2 (2013 =4=4) is ruled out. So in 2012 Elavalaki raises 44 (Case 1) or 55 (Case 3) — minimum 44.

1

Smallest 2012 amount each firm can give:

Alfloo=4 (Case 1; Case 2 gives 5),Bzygoo=1 (fixed, 2012 is its first year),Czechy=0 (it only starts in 2013),Drjbna=2 (fixed),Elavalaki=4.\begin{aligned} &\text{Alfloo}=4\ (\text{Case 1; Case 2 gives }5),\quad \text{Bzygoo}=1\ (\text{fixed, 2012 is its first year}),\\ &\text{Czechy}=0\ (\text{it only starts in 2013}),\quad \text{Drjbna}=2\ (\text{fixed}),\quad \text{Elavalaki}=4. \end{aligned}
2

Add the minimums:

4+1+0+2+4=11.4+1+0+2+4 = 11.

The smallest possible total raised in 2012 is 11 crores — option (d).

CAT 2023 Slot 2 DILR Q4: If Elavalaki raised Rs. 3 crores in 2013, then what is the smallest possible total amount of money (in Rs. cro — Solution | TheCATExam