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CAT 2023 Slot 2 — DILR Question 5

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

Answer & solution

  • A

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

  • B

    Bzygoo raised more money than Elavalaki in 2014.

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

  • D

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

Solution

Easy

The condition "total in 2014 =12=12" forces specific cases. Lock those in, then test each option — the one that cannot happen is the answer.

Recall the 2014 column: Alfloo =3=3 (both cases), Czechy =2=2, Drjbna =2=2 are all fixed, contributing 3+2+2=73+2+2=7. Bzygoo's 2014 is 33 (Case 1) or 22 (Case 2); Elavalaki's 2014 is 2,2,12,2,1 across its cases. So Bzygoo ++ Elavalaki must equal 12−7=512-7=5.

1

Force the cases. The only way to get Bzygoo ++ Elavalaki =5=5 in 2014 is

Bzygoo=3 (Case 1),Elavalaki=2 (Case 1 or 2).\text{Bzygoo}=3\ (\text{Case 1}),\qquad \text{Elavalaki}=2\ (\text{Case 1 or 2}).

So Bzygoo is now fixed as 1,2,3,11,2,3,1 (its 2013 value is 2\mathbf{2}), and Elavalaki's 2013 value is 33 (its Case 1) or 44 (its Case 2). Alfloo remains either case (2013=52013 = 5 or 44); Drjbna's 2013 is fixed at 44.

A

Alfloo same as Drjbna in 2013. Drjbna =4=4; Alfloo can be 44 (its Case 2). Possible.

B

Bzygoo more than Elavalaki in 2014. Bzygoo =3>2==3 > 2= Elavalaki. Possible (in fact always true here).

C

Bzygoo same as Elavalaki in 2013. Bzygoo is locked at 22 in 2013, but Elavalaki's 2013 is 33 or 44 — never 22. Impossible.

D

Alfloo same as Bzygoo in 2014. Both are 33 in 2014. Possible.

The impossible statement is "Bzygoo raised the same amount as Elavalaki in 2013" — option (c).

CAT 2023 Slot 2 DILR Q5: If the total amount of money raised in 2014 is Rs. 12 crores, then which of the following is not possible? — Solution | TheCATExam