Free DI and LR Practice Test - CAT 

As internal effeciency for the year 2007 is 22$\times \frac{100}{55}$ i.e. 40%.
The required percentage will be more than 40% for all the countries that have most share in the second pie chart
compared to the first pie chart i.e. UK, France, Germany, Japan and Others.

As we have only comparative ratios and not the exact ratios, we cannot find the required value.

$\begin{array}{ccccc}\text{Sol. Student}& \text{Economics (300)}& & \text{Accounts (200)}& \\ & \text{Percentage}& \text{marks}& \text{Percentage}& \text{Marks}\\ \text{Sachin}& 30& 90& 25& 50\\ \text{Ashish}& 10& 30& 20& 40\\ \text{Tanwi}& 15& 45& 10& 20\\ \text{Ankit}& 10& 30& 10& 20\\ \text{Ramesh}& 20& 60& 30& 60\\ \text{Suresh}& 15& 45& 5& 10\end{array}$
In case of Ramesh, the marks scored by him in Economics, Finance and Accounts are $20\%,20\%and30$ respectively out of the total marks scored by all the students put together.
$\therefore 20\%$ of the total marks of all the students in Economics $=30\%$ of the total marks of all the students in Accounts
$\therefore$ The ratio of the total marks scored by all six students put together in Economics to that of Accounts will be 3 : 2.
For simplicity, assume that the total number of marks obtained by all of them in Economics be 300 and in Accounts be 200.
Now the results can be tabulated by taking the marks in the required ratio as shown above.
$\therefore$ There are only 2 students satisfying the criteria.

Suresh scoring 20 marks in Accounts implies that the total marks scored by all six students put together would be 400 as his marks constituted 5% of the total marks.

Similarly, the total marks scored by all six students put together in Finance would be 150 as his marks constituted 30% of the total marks.
The results can be tabulated as shown above.
$\therefore$ the total marks scored by all six students in the internals of Finance are 13 and that in Accounts is 50.
$\therefore$ the required total is 63.

Air routes are best taken between those cities where the alternative modes of transport are too time-consuming. The total time Mr. Bajaj can take is 8 days or 192 hours.

Thus, we can try the following sequence:

New York City to London by air
London to Paris by road
Paris to Vienna by road
Vienna to Istanbul by road
Istanbul to Dubai by air
Dubai to Mumbai by ship
Mumbai to Kolkata by rail
Kolkata to Hong Kong by air
Hong Kong to Tokyo by air
Tokyo to San Francisco by air
San Francisco to New York City by air.

Calculating the total time and money for this sequence, we find that he takes 190.5 hours and $7465. Now, if we try to replace any more air routes by an alternative mode of transport, we see that he overshoots his time limit. Thus, the minimum number of air routes that Bajaj will have to take is 6.

We have already seen in the explanation for previous question, a sequence of routes which
takes 190.5 hours and $\$$7465. To get a cheaper sequence, we will have to replace an expensive
route with a cheaper route, without over shooting the time limit. Possible routes are by ship
from Hong kong to Tokyo, or by rail from San Francisco to New York City. Butt to fit either of
these routes in the sequence, we will have to replace some other non-air routes by air routes.
The best non-air routes to replace are those where the corresponding air routes take much less
time and do not cost as much as air routes between other cities, i.e. Dubai to Mumbai and
Mumbai to Kolkata.

Therefore, if Balaji travels by air from New York City to London, by road from london to Paris to
Vienna to Istanbul, by air from Istanbul to Dubai to Mumbai to Kolkata to Hong Kong to Tokyo
to San Francisco, and by rail from San Francisco to New York City, then he will take 171 hours
and $\$$7225.

The other possible sequence (by ship instead of air from Hong Kong to Tokyo and by air instead
of rail from San Francisco to New York City) tales 177.5 hours and $\$$7265. Therefore, the
minimum total travel fare possible is $\$$7225.

We have already seen in the explanation for previous question, a sequence of routes which
takes 171 hours and costs $\$7225$. To get a sequence which takes lesser time, we must look for
alternative modes of transport which are faster but not much more expensive. We cannot
replace any of the non-air routes by air routes, as that would overshoot the budget. Thus, the
only possibility is changing the mode of transport from London to istanbul from road to rail.
However, if Balaji travels by rail on all three routes, that would cost $\$305$ more. So he travels by
rail on only two routes (Paris to Vienna to Istanbul) and by road from London to Paris. For all
other routes, he travels by air, except San Francisco to New York City where he travels by rail.
This sequence would take 151 hours and cost $\$7490$.

If Bajaj travels from Istanbul to Dubai by road and on all other routes by air, then he will take 146.5 hours and $8705.Therefore,wehavetosearchforalternativemodesoftransporttoreducethetotalfareby$1205.
The best options are taking the road or rail from London to Istanbul, as the air fares on those routes are very high. Trying a few combinations of road and rail, we see that the only one that fits the total budget is by road from London to Paris, by rail from Paris to Vienna, by road from Vienna to Istanbul to Dubai, and by air for all other routes. This combination takes exactly $7500 and 190.5 hours.

$\because$ 3 matches ended in a draw, total number of bonus points scored is 14 and Everton lost against Bournemouth by 1 - 4.
$\therefore$ Bournemouth won 1 match and drew 0 matches as the total number of matches played by each team is 5.
$\therefore$ Arsenal scores 13 points only if its 1 match ended in a draw and it lost 2 matches.
$\because$ Southampton lost 1 matches and drew 0 matches, it won 4 matches as the total number of matches played by each team is 5.
$\because$ Bournemouth won its only match against Everton by 4 - 1, they scored only one bonus point as the difference between number of goals scored is 3.
Also, 3 matches ended in a draw.
$\therefore$ Total number of wins and losses will be 12 as the total number of matches played is 15.
Following table can be made on the basis of above statements:

Now, total number of bonus points is 14.
$\therefore$ Southampton scored 5 bonus points.
$\therefore$ Southampton scored a total of 25 points and the difference between the total points scored by Southampton and Aston Villa is 12.
$\therefore$ Aston Villa scored 13 points and won 2 matches with 1 match ending in a draw.
$\because$ 3 matches ended in a draw, the total number of draws is 6.
$\therefore$ Sunderland drew 2 matches, lost 1 match and scored a total of 18 points.
Finally, the total number of wins and losses is 12.
$\therefore$ Everton won 1 match and lost 2 and scored a total of 11 points.

Following table can be made on the basis of above statements:

Everton won against Aston Villa 2 - 0.
$\therefore$ Everton scored both its bonus points against Aston Villa.
$\therefore$ Everton did not defeat any other team of higher rank.
$\therefore$At the end of the group matches, Sunderland has the second highest number of points.
Hence, option C.

Everton won against Aston Villa by 2 - 0.
$\therefore$ Everton scored both its bonus points against Aston Villa.
$\therefore$ Everton did not defeat any other team.
And Bournemouth did not play any draw.
$\therefore$ Bournemouth won the match against Everton
 

Southampton scored 5 bonus points.
Also, four teams rank higher than Southampton.
$\therefore$It can cause not more than 4 upsets and if it wins against Sunderland, then from a total of 4 wins, it can cause 3 upsets.
 

$\because$ Southampton can cause not more than 4 upsets, Sunderland caused 2 upsets, Arsenal and Bournemouth did not cause any upsets, Everton caused 1 upset and Aston Villa can cause 1 upset by defeating Arsenal.

$\therefore$There can be a maximum of 8 upsets in the tournament.
 

The data required to complete the table is introduced only in the given seven statements and is not given in the common data (apart from data on place visited). Therefore, if any of these statements is ignored, we will not have complete data known as to who is the fourth male is or the fourth female and so on. For instance, if we ignore statement IV, we will not know that the fourth male is called Sunil, the fourth female is called Ankita and the fourth surname is Singh. Thus, none of the given statements is redundant. Consequently, filling the table will not be possible. This is applicable to all the statements given in the options.
Hence, option E.