Free DI and LR - 08 Practice Test - CAT 

Longitude of the country F with respect to Greenwich => (50−20) = ${30}^{\circ }$E

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

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

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.

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.

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
$x=\frac{2106}{6}=351$

hence, the answer is none of these

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

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.

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= $\frac{135}{5}$ = 7 GJ/min

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

In round 1,She puts in $\frac{1}{5^{th}}$ 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 $\frac{1}{5^{th}}$ 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 $\frac{1}{5^{th}}$ 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

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

In round 1,She puts in $\frac{1}{5^{th}}$ 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.

She has invested $\frac{1}{5^{th}}$ of 1280 rupees= 256 rupees

In game 4, she has made $640\times 2=1280$ rupees. Profit = 1280-640 = 640

Amounts she has invested in various rounds are as follows

105

400

160

640

256

Answer= 640