# Free DI and LR - 12 Practice Test - CAT

### Question 1

How many calls did Victor make on Friday?

#### SOLUTION

Solution :C

As each student made a total of 150 calls

x + y = 150-(27+18+26+29)

x + y = 50.

From Victor’s statement calls made by Victor on Friday= (x+y)2 =25

Calls made by Robert on Saturday = 150– 24-x-1-y-30-28 = 17

Calls made by Reynolds on Tuesday = 150-(23+30+27+y+6+x-5)=19

Calls made by Sam on Monday = 150 – (23+x+y+4+27 +24)=22

### Question 2

How many calls did Reynolds make on Tuesday?

#### SOLUTION

Solution :C

As each student made a total of 150 calls

x + y = 150-(27+18+26+29)

x + y = 50.

From Victor’s statement calls made by Victor on Friday= (x+y)2 =25

Calls made by Robert on Saturday = 150– 24-x-1-y-30-28 = 17

Calls made by Reynolds on Tuesday = 150-(23+30+27+y+6+x-5)=19

Calls made by Sam on Monday = 150 – (23+x+y+4+27 +24)=22

### Question 3

If number of calls made by Sam on Monday is 4 less than number of calls made by him on Wednesday, then what is the number of calls made by Amanda on Saturday?

#### SOLUTION

Solution :D

From the question x-4 = 22 ≥ x =26

Thus y=24.

### Question 4

Which of the following is definitely false?

#### SOLUTION

Solution :D

Since Reynolds made y+6 calls on Friday and the maximum number of calls a student can make is 30

So y + 6 ≤ 30

Thus y ≤ 24

Thus x ≥ 26

From this we interpret statement (d) is definitely false.

### Question 5

Which of the following can be the difference between number of calls made by Reynolds on Friday and Saturday?

#### SOLUTION

Solution :D

The difference between number of calls made by Reynolds on Friday and Saturday = | (x-5)-(y+6) |

= |x-y-11|=|39-2y|

Because x=50-y

Now Robert made x+1 calls on Wednesday.

Therefore, x+1 ≤ 30 ≥ x≤29

y ≥ 21

Thus 21≤y≤24 gives |39-2y|=3, 5, 7 or 9

### Question 6

Among the following statements which are the correct ones.

A. Wipro’s share in total sales of the electronics sector was lower than the share of Tata Steel intotal sales of the iron & steel sector in each given year.

B. From the group consisting of the textiles and the iron & steel sector, there were 5 companieswhose salaries & wages as percent of total salaries & wages of their respective sectors increased in 2003 as compared to 2001.

C. Tata Steel’s R & D expenditure in each given year as percent of sales was lower than that of theiron and steel sector as a whole.

D. From the group consisting of the pharmaceuticals and the electronics sectors, there were 5 companies which experienced a decline in the growth rate of sales in 2003.

#### SOLUTION

Solution :B

Statement A: Correct

200120022003Wipro.1164.1189.1348TataSteel.156.1489.1495

Statement B: Correct

20012003Indo Rama0.01110.0076Arvind Mills0.03160.0236Raymond0.03720.0389Century Enka.007440.00811Steel Authority0.56130.584Tata Steel0.17170.1909Rashtriyalspat0.0760.0636Ispat Industries0.00830.0086

Statement C: Incorrect

200120022003R&D expenditure of Tata Steel as a percentage of sales..117.0.096.152Percentage of R&D expenditure to sales as iron and steel sector as a whole.134.113.105

Statement D: Correct as 5 companies show decline.

20022003Ranbaxy0.46460.225Dr. Reddy Lab0727−0.004Cipla0.31670.1206Glaxosmithkline0.04720.0375Wipro0.11150.1608Infosys0.36980.3913Videocon0.5332−0.275Bharat Electronics0.12570.291

### Question 7

Among the following statements which are the correct ones.

A. Total salaries & wages over 2001-2003 as percent of total sales of the same period had been the highest for the iron & steel sector.

B. In the year 2003, if all the companies were ranked in descending order in terms of salaries & wages as percent of sales, Videocon International would have been ranked the lowest.

C. In the year 2002, if all companies were ranked in descending order in terms of R & D as percent of sales, Bharat Electronics Limited would have been ranked third.

D. Of all companies that made profits in each year during 2001-2003, wipro registered the highest growth in profits for the period.

#### SOLUTION

Solution :A

Statement A: Correct

SectorsRequired PercentageTextiles8.31%Pharmaceuticals7.774%Electronics7.77%Iron and steel9.64%

Statement B: Incorrect (Ispat will be ranked lowest)

CompaniesRequired PercentageIndo Rama1.4%Arvind Mills6.57%Raymond Ltd16.23%Century Enka Ltd3.699%Ranbaxy6.009%Dr. Reddy′s8.035%Cipla4.64%Glaxosmithkline11.19%Wipro15.85%Infosys46.31%Videocon1.47%Bharat Electronics14.62%Steel Authority18.04%Tata Steel11.58%Rashtriyalspat Nigam7.83%Ispat Industries1.18%

Statement C: Correct

CompaniesRequired PercentageIndo Rama0Arvind Mills0Raymond Ltd0Century Enka Ltd0Ranbaxy5.55%Dr. Reddy′s5.96%Cipla3.35%Glaxosmithkline0.334%Wipro0.43%Infosys0.576%Videocon0Bharat Electronics4.62%Steel Authority0.3007%Tata Steel0.9665%Rashtriyalspat Nigam0.0714%Ispat Industries0

Statement D: Incorrect

It did not make the highest profit as Indo Rama Synthetic ltd. has made a higher growth than Wipro in the year 2001-2003.

### Question 8

Among the following statements which are the incorrect ones.

A. Salaries & wages of each company in the iron & steel sector were up to 13 times its losses reported in each of the loss-marking years.

B. Total salaries & wages over 2001-2003 as percent of total sales of the same period for the pharmaceuticals sector had been the minimum.

C. Total salaries & wages over 2001-2003 as percent of total sales of the same period for only two companies exceeded 20 percent.

D. Total profits / Total Sales for all the four sectors taken together was higher in 2002 than in 2001.

#### SOLUTION

Solution :A

Statement A: Correct (By Observation)

Statement B: Incorrect as the percentage is minimum for electronics sector

SectorsRequired PercentageTextiles8.31%Pharmaceuticals7.774%Electronics7.77%Iron and steel9.64%

Statement C: Incorrect

It is incorrect as for no company the required percentage is greater than 20%

Statement D: Incorrect

In the year 2002 the ratio of total profit to the total sales is -0.02880 and in the year 2001 the given ratio is -0.0260.

### Question 9

Among the following statements which are the correct ones.

A. Tata Steel experienced the highest percent decline in R & D expenditure in any single year during the given period.

B. Of all companies which incurred R & D expenditure every year during 2001-2003, total R & D expenditure / total sales was the highest for Dr. Reddy’s Laboratories Ltd.

C. During 2001-2003, in terms of sales growth, the best performer in the pharmaceuticals sector fared better than the best performer in the iron & steel sector.

D. Videocon International Ltd experienced the second largest percent decline in salaries & wages in any single year during the given period.

#### SOLUTION

Solution :B

Statement A: Incorrect

Because in the year 2002-2003 Cipla had a 100% decline in the R&D Expenditure.

Statement B: Correct

CompanyRatioRanbaxy0.0541Dr. Reddy0.0696Glaxosmithkline0.0033501Infosys0.00565Bharat Electronics0.04655Steel Authority of India0.0028Tata Steel0.00124

The ratio was highest for Dr. Reddy's

Statement C: Correct

During the year 2001-2003 in terms of sales growth, the best performer in the pharmaceuticals sector was that of Ranbaxy which had a 79.55% growth and no company had a growth rate greater than any company in the iron and steel sector.

Statement D: incorrect

Arvind mills in the year 2001-2002 and Indo Rama Synthetic Ltd in the year 2002-2003 have greater percentage decline than Videocon in any of the given years.

### Question 10

Among the followings which statements resemble the above graph.

i. Raymond Limited’s share in the total sales of the textiles sector.

ii. Tata Steel’s share in the total sales of the iron & steel sector.

iii. GlaxosmithklineLtd’s salaries & wages as percent of sales.

iv. Raymond Limited’s profit as percent of sales.

#### SOLUTION

Solution :B

Statement200120022003i0.027790.019760.0196ii0.1560960.148910.1495iii0.121600.116120.1119iv0.22470.08830.0869

The values in the statements A, B and D in the given three years when plotted will closely resemble the graph in the figure