# Free Di and LR - 25 Practice Test - CAT

### Question 1

What of the following is true for the first league?

I) Imphal Rangers defeated Delhi Dazzler in at least one game

II) Lucknow Nawabs defeated Delhi Dazzlers in exactly one game

III) Lucknow Nawabs defeated Imphal Rangers in at least one game

#### SOLUTION

Solution :B

(b) Let us analyze Tier 2 Standings:

Imphal Rangers has defeated Delhi Dazzlers in opening game and hence statement 1 in the question is definitely true. Now, for Lucknow Nawab, total wins = 5 and total loss = 3, bonus point 2. Hence we can say that it secured bonus point from Imphal Rangers (as Imphal Rangers has 3 wins out of which 2 are against Bengal tigers and 1 against Delhi Dazzlers) and Bengal tigers only. The 5th win will be against Chandigarh Dynamo because Delhi Dazzlers have only 2 bonus points, so it should have won over Bengal tigers and Lucknow Nawab and hence we can say that statement 3 is also correct while statement 2 is not. Correct answer

Hence, option (b).

### Question 2

If Bangalore Hi-fliers had defeated Maratha Warriors in both its games but lost one of its games to Chennai Veerans, then which of the following would have been the third team from Tier I to reach the super league.

#### SOLUTION

Solution :D

d

### Question 3

Which of the following cannot be the final match of the tournament?

#### SOLUTION

Solution :D

( d ) Maratha Warriors and Lucknow Nawabs are yet to play their game and hence only one of them can go to final. Hence final match cannot be between these two teams. Hence, (d)

### Question 4

If Maratha Warriors reaches the final which other team reaches the final?

#### SOLUTION

Solution :D

(d ) If Maratha Warriors reach final all the teams have the possibility to reach in final except Hyderabad Sultans and Lucknow Nawabs. Hence option (d).

### Question 5

Who killed Rox?

#### SOLUTION

Solution :A

Option (a)

### Question 6

Who was the accomplice?

#### SOLUTION

Solution :D

option (d)

### Question 7

If the detergent market decreases by 18.75% in 1998 and Procter & Gamble takes over Spic Fine Chemicals (that is, the sales value of the brands Henko Stain Champion and White Giant gets added to the sales value of Procter & Gamble), what will be the percentage change in the total detergent sales of Procter & Gamble?(market share percentages in 1998 remain the same as in 1997)

#### SOLUTION

Solution :B

Ans. (b)

New detergent market = 1.3/16 * 3200 = 2600 Cr Rs.

Sales of P and G in 97 = (3% + 5%) of 3200 = 256 Cr.

Sales of P and G in 98 = (3% + 5% + 2% + 1%) of 2600 = 286 Cr.

Therefore, % change = 30/256 * 100 = 11.7%

### Question 8

By what amount is the total detergent sale of Hindustan Lever more than that of Procter & Gamble in 1997 (in Rs. Crore)?

#### SOLUTION

Solution :A

Ans. (a)

Market share of Hindustan Lever = 32%

Market share of P & G = 8%

Therefore, Difference in market share = 24% = (24/100) * 3600 Cr = 768 Cr

### Question 9

By how many crore rupees has the total detergent sales of Spic Fine Chemicals changed in 1997 over the previous year?

#### SOLUTION

Solution :A

Ans. (a)

Increase w.r.t previous year, Henko stain champion = 15%

Sales value in this year, Henko Stain champion = 2% of 3200 = 64 Cr

Sales value (previous year) = 64 * (1/1.15) = 55.6 Cr

Therefore, change in sales value = 8.4 Cr.

For white giant, wrt previous year, there is 100% increase.

This year its sales value = 1% of 3200 = 32 Cr.

Sales value (previous year) = 32/2 = 16 Cr

Change in sales value = 16 Cr.

Therefore, Total change comes to be (16 + 8.4) = 24.4 Cr

### Question 10

If both varieties of Wheel (Wheel Blue and Wheel Green) show the same trend in percentage change in sales value in 1998, then what will be their combined sales value (in Rs Crore) assuming that the total detergent market remains constant in 1998 as compared to 1997?

#### SOLUTION

Solution :A

Ans. (a)

Wheel Green market share, this year = 17%

Sales value in 1997 = 17% of 3200 = 544 Cr.

So sales value in 1998 (Reduction of 5.3%) = Rs. 28 cr. (544 – 28) = Rs. 516 Cr. = 54 * (1/1.053) = Rs. 516.6 Cr.

Wheel Blue market share, this year = 3.5%

Sales value in 1997 = 3.5% of 3200 = 112 Cr.

So sales value in 1998 (increase of 36% = 40.5) = 112 + 40.5 = 152.5

So combined sales value = (516 + 152.5) = Rs. 668.5 cr.

### Question 11

Given that the detergent market grows by 22.5% in 1998. What is the difference between the sales value (in Rs cr) of Surf Ultra and Ariel, given that the market share percentages remain the same as in 1997?

#### SOLUTION

Solution :E

Ans. (e)

Detergent market in 1998= 1.225*3200= 3910

Share of Ariel- Share of Surf Ultra= 3% of 3910 - 2% of 3910= 1% of 3910=39.1 cr