# Free DI and LR - 08 Practice Test - CAT

### Question 1

If the time in Greenwich is 9:00 PM on Monday, then what will be the corresponding time in the country F.

#### SOLUTION

Solution :C

Longitude of the country F with respect to Greenwich => (50−20) = 30∘E

Time increment from GMT to the country F = 30×4 = 120 min = 2 hr.

Therefore, corresponding time in the country F with respect to Greenwich is 11:00 PM on Monday.

### Question 2

If there is a country G which is 2 hours ahead of C, then what will be its longitude with reference to the Greenwich?

#### SOLUTION

Solution :C

Option C is the correct answer.

### Question 3

A person catches a flight from country A at 11:00 AM on Sunday and the flight takes exactly 2 hours to reach F. At what time will the person reach country F?

#### SOLUTION

Solution :C

As there is no difference between the longitudes of countries A & F so the time difference will be zero. He will reach F at 1: 00 PM on Sunday.

### Question 4

A person takes a flight from country B to country D. How much time will it take for an aeroplane to complete the journey?

#### SOLUTION

Solution :D

The time taken to fly from countries B to country D will depend upon the speed of the aeroplane. Hence,the answer cannot be determined.

### Question 5

If the points rewarded are 1806, how many gulab jamuns did Ratna eat?

#### SOLUTION

Solution :D

First we need to assign a category for the value 1806, by trial and error = 301 to 400 category. Let x be the no. of gulab jamuns

6x-300= 1806

x=21066=351hence, the answer is none of these

### Question 6

A & B of Blue team ate 221 and 431 Gulab jamuns respectively. C &D of Green team ate 200 and 321 Gulab jamuns respectively. What is the difference in the points rewarded between the two teams?

#### SOLUTION

Solution :A

A makes 221(5)-200 and B makes 431(7)-500. total= 3422

C makes 200(4)-150 and D makes 321(6)-300. total = 2276

Difference= 1146

### Question 7

If Shaila’s capacity is 250-450 Gulab Jamuns then what is difference in the minimum and maximum points she can obtain ?

#### SOLUTION

Solution :E

Option E is the correct answer.

### Question 8

What is the maximum difference in the number of points between any 2 people having consecutive number of jamuns?

#### SOLUTION

Solution :C

Lets consider all possible cases

100-101= 150-203=53

150-151= 350-454= 104

200-201=650-805=155

….

500-501=3000-4010=1010

Which is the maximum possible.

### Question 9

A & B are at a tie at 260 points. There are 5 mins left for the competition to end. Assuming that B eats at the rate of 5 GJ/min from now on, at what rate should A eat Gulab Jamuns to win by 135 points?

#### SOLUTION

Solution :B

B eats at the rate of 5 GJ/min means that in 5 mins he eats 25 Gjs. Now

260 points = 120 jamuns

another 25 jamus= 145 jamuns

points= 335

to win by 35 points, A needs to have 470 points, that accounts for 120 + 35 jamuns

rate= 1355 = 7 GJ/min

### Question 10

How much money did Disha win in all?

#### SOLUTION

Solution :C

Back calculating, we can find out the initial amount Disha started out with = 500 rupees

In round 1,She puts in 15th of the amount= 100 rupees, which she loses and she has 500-100=400 rupees at the end of this round

In round 2, she invests the entire amount= 400 rupees and makes twice the amount= 800 rupees

In round 3, She puts in 15th of the amount= 160 rupees, which she loses and she has 800-160=640 rupees at the end of this round

In round 4, she invests the entire amount= 640 rupees and makes twice the amount= 1280 rupees

In round 5, She puts in 15th of the amount= 256 rupees, which she loses and she has 1280-256=1024 rupees at the end of this round

Finally left with 1024 rupees

Totally she has made = 1024-500= 524 rupees

### Question 11

How much money did Disha have in the beginning of game 2?

#### SOLUTION

Solution :B

Back calculating, we can find out the initial amount Disha started out with = 500 rupees

In round 1,She puts in 15th of the amount= 100 rupees, which she loses and she has 500-100=400 rupees at the end of this round.

Therefore, In the beginning of game 2, she has 400 rupees.

### Question 12

How much money did she invest in the 5th game?

350

250

280

None of these

#### SOLUTION

Solution :D

She has invested 15th of 1280 rupees= 256 rupees

### Question 13

How much money did she win in game 4?

#### SOLUTION

Solution :A

In game 4, she has made 640×2=1280 rupees. Profit = 1280-640 = 640

### Question 14

What is the highest amount she has invested in any round of the game?

640

560

450

550

#### SOLUTION

Solution :A

Amounts she has invested in various rounds are as follows

105

400

160

640

256

Answer= 640