# Free DI and LR - 03 Practice Test - CAT

### Question 1

**Who is the champion? **

#### SOLUTION

Solution :D

At the end of the tournament we have the following resut:-

PLAYERSCOREKramnik14Topalov9Shirov8Leko9Polgar11Anand17From the table it is clear that Anand is the winner. We calculate the points using the relation, 3*No. of mathches won+2*No. of matches draw+1*No. of matches lost.

### Question 2

**The semifinal is played between players?**

#### SOLUTION

Solution :D

Before the finals, A’s score will stand at 14, P’s score at 11 ( he gains one point after losing the semis) and K’s score will stand at 13, who will be the top scorer and will directly go to the finals. From this, we can clearly say that A will play the semis against P.

### Question 3

**Find the points of the semifinalists before the semifinal**

#### SOLUTION

Solution :C

Before the finals Anand had 14, Kramnik had 13 and Polgar had 11 points. The semi-final was played between Polgar and Anand in which Anand was the winner. So before the semi-finals Anand had 11, Kramnik had 13 and Polgar had 10 points.

The semi-finalists ie Anand and Polgar had 11 and 10 points respectively.

### Question 4

**Which two players played the final?**

#### SOLUTION

Solution :C

Before the finals Anand had 14, Kramnik had 13 and Polgar had 11 points. The final was played between Kramnik and Anand in which Anand was the winner.

### Question 5

**Which of the following is/are true?**

I.The top three rankings at the end of the tournament are the same as those at the end of the first round.

II.Anand won the maximum number of matches in the first round.

III.Kramnik has the highest number of points at the end of first round .

#### SOLUTION

Solution :C

Only statement 3 is true as K has only one loss, which occurs in the finals

### Question 6

**Humidity in Mumbai was lowest in week ____________ **

#### SOLUTION

Solution :A

To minimize the calculation, take baseline as 100. Make the table based on 100 as the bas evalue for both parameters in both cities. Taking W1=100, we can approximately calculate the values at all places.

Place and ParametersW1W2W3W4W5W6Delhi Temp100108111108106107Delhi Humidity100103101969395Mumbai Temp100110118122124124Mumbai Humudity10098959710298Lowest value is W3=95. Hence answer option A.

### Question 7

**Temperature in Delhi was highest in week________**

#### SOLUTION

Solution :C

To minimize the calculation, take baseline as 100. Make the table based on 100 as the bas evalue for both parameters in both cities. Taking W1=100, we can approximately calculate the values at all places.

Place and ParametersW1W2W3W4W5W6Delhi Temp100108111108106107Delhi Humidity100103101969395Mumbai Temp100110118122124124Mumbai Humudity10098959710298

### Question 8

**What is the ratio of temperatures in Delhi to those in Mumbai in W2**

#### SOLUTION

Solution :D

To minimize the calculation, take baseline as 100. Make the table based on 100 as the bas evalue for both parameters in both cities. Taking W1=100, we can approximately calculate the values at all places.

Place and ParametersW1W2W3W4W5W6Delhi Temp100108111108106107Delhi Humidity100103101969395Mumbai Temp100110118122124124Mumbai Humudity10098959710298These are just a relative value and not the exact one. Hence answer option D

### Question 9

**A good week is one when temperature decreases by 3% or more & humidity doesn’t change by more than 5% over the previous week. For how many weeks did Delhi experience a ‘good week’?**

#### SOLUTION

Solution :B

Temperature decreases by 3% or more only in W4. For Delhi, humidity doesn’t change by more than 5% over the previous week only in W4. Hence answer = 1

### Question 10

**If the humidity in Delhi & Mumbai was 60 in W1, then the no. of times the humidity was less than 60 in both cities from W2 to W6 is ____________**

#### SOLUTION

Solution :C

Take it as 100, the value will make a difference, the conditions hold good for week 4 and 6 only in both cases.

Hence, option (c)

### Question 11

**Find the rank of Nidhi. **

#### SOLUTION

Solution :C

NAMEGenderCenterQALRDIVANAMEGenderCenterQALRDIVADennisMIV91021SagarikaFI71123PreetiFV81216ManishMIV191015AnuragMIV6923NityaFV13614PronabMIV13829AditiFIII11819AbishekMIII14731AvniFII21214ShefaliFII11817AnshulMI52014ReemaFI5166SachinMII2266RahulMV211319NidhiFIII7917RohitMIV111122SauravMIII4831JeevikaFIII71923AnyaMIV161710SharanyaFII16422GauravMV1057ArjunMV19529SunilFIV9199AkshayMV31331DeepaliFV11314VidyaFIII42130SalimMIII211511TarunMI21735SanjayMII18119

NAMETOTALNAMETOTALDenis40Sagarika41Preeti36Manish44Anurag38Nitya33Pronab50Aditi38Abishek52Avni46Shefali36Anshul39Reema27Sachin34Rahul53Nithi33Rohit44Saurav43Jeevika49Anya43Sharanya42Gaurav22Arjun53Sunil37Akshay47Deepali28Vidya55Salin47Tarun54Sanjay38Hence answer option C

### Question 12

**How many male students got more marks in VA than the marks obtained by Deepali in VA but less marks in QA than the marks obtained by Avni in QA?**

#### SOLUTION

Solution :C

Ten male students namely Saurav, Manish, Tarun, Akshay, Arjun, Rohit, Abishek, Pronab, Anurag and Dennis satisfy the condition given in the question.

### Question 13

**Find the number of female students who obtained more total marks than at most five female students and more total marks than at least two male students.**

#### SOLUTION

Solution :B

Two female students namely Preeti and Shefali have obtained more marks than two male students namely Gaurav and Sachin and more marks than four female students namely Reema, Nitya, Nidhi and Deepali.

### Question 14

**If the criterion for ranking the students is followed by each center to rank the students en- rolled there, then find the difference between the ‘overall rank’ and the ‘center rank’ of Rohit. (Overall rank is the rank when all the 30 students are taken into consideration and ‘center rank’ is the rank when only the students of that particular center is taken into consideration.)**

#### SOLUTION

Solution :D

Overall rank of Rohit is 11 and center rank of Rohit is 2. Therefore, the required difference is 11 - 2 = 9.

### Question 15

**From which center, the maximum possible number of students obtained a total of at least 40 marks and at most a total of 54 marks?**

#### SOLUTION

Solution :A

From center IV, five students namely Dennis, Pronab, Rohit, Manish and Anya have obtained at least a total of 40 and at most a total of 54 marks.