Funding Raised by Odsville Firms

CAT 2023 Slot 2 · DILR · Medium · Data Interpretation

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Passage / data set

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.

FirmFirst year of existenceLast year of existenceTotal amount raised (Rs. crores)
Alfloo2009201621
Bzygoo20122015
Czechy20139
Drjbna2011201510
Elavalaki201013

Question 1 of 5

For which firm(s) can the amounts raised by them be concluded with certainty in each year?

  1. A.

    Only Czechy and Drjbna

  2. B.

    Only Bzygoo and Czechy and Drjbna

  3. C.

    Only Czechy

  4. D.

    Only Drjbna

Answer

A

Explanation

For Czechy (total 9 crores starting 2013) and Drjbna (2011-2015, total 10 crores), there is only one unique sequence of yearly funding that satisfies all rules (1 crore start/end, peak in between, step size 1 or 2). Hence, only Czechy and Drjbna can be uniquely concluded.

Question 2 of 5

What best can be concluded about the total amount of money raised in 2015?

  1. A.

    It is either Rs. 7 crores or Rs. 8 crores.

  2. B.

    It is either Rs. 7 crores or Rs. 8 crores or Rs. 9 crores.

  3. C.

    It is exactly Rs. 8 crores.

  4. D.

    It is either Rs. 8 crores or Rs. 9 crores.

Answer

A

Explanation

Summing the possible amounts raised by all active firms in 2015 yields a total of either Rs. 7 crores or Rs. 8 crores.

Question 3 of 5

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

Answer

13

Explanation

By maximizing the funding raised by each active company in 2013 under the given rules, the maximum possible total sum raised across all companies in 2013 is 13 crores.

Question 4 of 5

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?

  1. A.

    12

  2. B.

    11

  3. C.

    10

  4. D.

    9

Answer

C

Explanation

Given Elavalaki raised Rs. 3 crores in 2013, we work backwards to find minimal valid amounts for companies active in 2012, which gives a minimum total of 10 crores.

Question 5 of 5

If the total amount of money raised in 2014 is Rs. 12 crores, then which of the following is not possible?

  1. A.

    Bzygoo raised the same amount of money as Elavalaki in 2013.

  2. B.

    Alfloo raised the same amount of money as Drjbna in 2013.

  3. C.

    Alfloo raised the same amount of money as Bzygoo in 2014.

  4. D.

    Bzygoo raised more money than Elavalaki in 2014.

Answer

D

Explanation

Setting the 2014 total sum to 12 crores fixes the yearly paths of the flexible companies (Alfloo, Bzygoo, Elavalaki). Under this configuration, Bzygoo raising more money than Elavalaki in 2014 creates a contradiction.

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