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1. Pedro goes either hunting or fishing every day. If it is snowing & windy then Pedro goes
hunting. If it is sunny and not windy then Pedro goes fishing. Sometimes it can be snowing and sunny.

Which of the following statements must be true:

Which of the following statements must be true:

Correct Answers :

[B]

Explanation :

The information given can be reduced to:

Snowing + Windy = Hunting

Sunny + Not Windy = Fishing

Therefore:

A. Need not be true because it is not stated that it is windy.

B. Must be true because when it is snowing and windy Pedro goes hunting.

C. Need not be true because it is not stated that it is snowing.

D. Need not be true because it is not stated that it is snowing.

E. Need not be true because it is not stated that it is windy.

Option B is the correct answer.

2. If Judy comes to the party then Sally leaves the party. If Sally leaves then either Christine
or Clara ask Philip to dance. If Philip is asked to dance by either Christine or Clara and Sally
leaves the party, Philip accepts. If Philip is asked to dance by either Christine or Clara and
Sally does not leave the party, Philip does not accept.

If Sally does not leave the party, which of the following statements can be logically deduced from the information above?

If Sally does not leave the party, which of the following statements can be logically deduced from the information above?

Correct Answers :

[C]

Explanation :

The first sentence states: ‘If Judy comes to the party then Sally leaves the
party.’

It follows that if Sally does not leave the party then Judy does not come to the party. Therefore the information beyond the first sentence is irrelevant.

Option C is the correct answer.

3. The cost of manufacturing tractors in Korea is twenty percent less than the cost of
manufacturing tractors in Germany. Even after transportation fees and import taxes are added, it is still cheaper to import tractors from Korea to Germany than to produce tractors in Germany.

Which of the following assertions is best supported by this information?

Which of the following assertions is best supported by this information?

Correct Answers :

[D]

Explanation :

The question asks ‘Which of the following assertions is best supported by this
information?’

A. This assertion is not supported because the twenty percent difference may
be due to costs other than labour costs.

B. This assertion is not supported by the information given.

C. This assertion is not supported by the information given.

D. The import taxes must be less than twenty percent because ‘even after
transport costs and import taxes it is still cheaper to manufacture tractors in
Korea.

E. This assertion is not supported by the information given.

Option D is the correct answer.

4. In 1695 about 11,400 doctors who had treated plague sufferers died and about 23,670
doctors who had not treated plague sufferers died. On the basis of these figures, it can
be concluded that it was more dangerous for doctors not to participate in the treatment of
plague sufferers than it was for them to participate in it.

Which of the following statements would cast most doubt on the conclusion above?

Which of the following statements would cast most doubt on the conclusion above?

Correct Answers :

[D]

Explanation :

There essential information missing from the question statement is the total
number of doctors who treated plague sufferers and the total number of doctors
who did not.

In order to cast doubt on the conclusion it is essential to know the mortality rate
of doctors in each group rather that the total number. This mortality rate could
be specified as percentage or deaths per thousand or some other measure. The
important point is that it specifies the ratio of doctors who survived compared to
doctors who died in each group.

Option D is the correct answer as the other options take no account of the relative
sizes of the two groups.

5. There are 900 bottles to be filled. Jim and Molly working independently but at the same
time take 30 minutes to fill the bottles. How long should it take Molly working by herself to
fill the bottles?

Statement 1 - Molly fills half as many bottles as Jim.

Statement 2 - Jim would take 45 minutes by himself.

Which of the statements above make it possible to answer the question.

Statement 1 - Molly fills half as many bottles as Jim.

Statement 2 - Jim would take 45 minutes by himself.

Which of the statements above make it possible to answer the question.

Correct Answers :

[D]

Explanation :

The first statement alone is sufficient because it means that:

Molly fills 300 bottles and Jim fills 600 bottles in 30 minutes.

Therefore, it would take Molly 90 minutes to fill 900 bottles.

The second statement alone is sufficient because it means that:

Jim would fill 900 bottles in 45 minutes.

This means that Jim’s work rate is 20 bottles per minute.

So, in the 30 minutes working together Jim will fill 600 of the bottles.

Therefore Molly will fill 300 bottles in 30 minutes or 900 bottles in 90 minutes.

Since each statement alone is sufficient to answer the question, Option D is the
correct answer.

Note that you do not need to actually calculate the result – only to deduce that
you need both pieces of information to do so.

6. There are two valves at the bottom of a water tank which allow the tank to be drained. If both
valves are opened, how long will it take before the tank is empty?

Statement 1 - If only valve 1 is opened, the tank will be empty in 10 minutes.

Statement 2 - If only valve 2 is opened, the tank will be empty in 20 minutes.

Which of the statements above make it possible to answer the question.

Statement 1 - If only valve 1 is opened, the tank will be empty in 10 minutes.

Statement 2 - If only valve 2 is opened, the tank will be empty in 20 minutes.

Which of the statements above make it possible to answer the question.

Correct Answers :

[C]

Explanation :

The first statement alone means that:
One tenth of the tank will be emptied per minute when valve 1 is opened.

But since we have no information about the rate of emptying for valve 2, the first
statement alone is insufficient.

The second statement alone means that:

One twentieth of the tank will be emptied per minute when valve 2 is opened.

But since we have no information about the rate of emptying for valve 1, the
second statement alone is insufficient.

However, using both statements we know that one tenth plus one twentieth of
the tank is being drained per minute when both valves are open. By adding these
two fractions and calculating the reciprocal we can obtain the time in minutes
that it takes to drain the tank with both valves open.

Since both statements together are sufficient, but neither statement alone is
sufficient to answer the question, option C is the correct answer.

Note that you do not need to actually calculate the result—only to deduce that
you need both pieces of information to do so.

7. Oil filters are packed in individual boxes which are then packed into a larger cubic transport
boxes. How many transport boxes of oil filters will fit into the cargo area of a lorry?

Statement 1 - Each transport box measures 50cm x 50cm x 50cm.

Statement 2 - The length and the breadth of the cargo area is 10m and 3m.

Which of the statements above make it possible to answer the question.

Statement 1 - Each transport box measures 50cm x 50cm x 50cm.

Statement 2 - The length and the breadth of the cargo area is 10m and 3m.

Which of the statements above make it possible to answer the question.

Correct Answers :

[E]

Explanation :

To answer this question it is necessary to calculate:

1. The volume of a transport box

2. The volume of the load area.

The first statement alone means that the volume of a transport box can be
calculated. The second statement alone does not allow the volume of the cargo
area to be calculated because there is no information about the height.

Therefore Statements 1 and 2 together are not sufficient and option E is correct.

8. Of the teams competing in the world archery championships, twenty percent are from
Europe. Half as many are from the United States and one twentieth are from Africa. What
fraction of teams are from neither Europe, the US or Africa.

Correct Answers :

[A]

Explanation :

The fractions are calculated as follows:

Europe 20% = 4/20

United States 10% = 2/20

Africa 1/20

4/20 + 2/20 + 1/20 = 7/20 teams are from Europe, the US or Africa.

Therefore 13/20 must be from other countries.

Option A is correct.

9. Ian paid more for his car than did Simon.

Simon paid less for his car than did Hubert.

Peter paid more for his car than did Sarah.

Sarah paid the same amount for her car as did Hubert.

If the above information is true, which of the following must also be true?

Simon paid less for his car than did Hubert.

Peter paid more for his car than did Sarah.

Sarah paid the same amount for her car as did Hubert.

If the above information is true, which of the following must also be true?

Correct Answers :

[C]

Explanation :

On the basis of the given information, you can construct the following:
Peter > Sarah = Hubert > Simon

The position of Ian in the sequence cannot be determined other than to say that
he paid more than Simon.

A. Need not be true because the position of Ian in relation to Peter is unknown.

B. Is obviously untrue.

C. Is the correct answer.

D. Need not be true because the position of Ian in relation to Hubert is
unknown.

E. Need not be true because the position of Sarah in relation to Ian is
unknown.

Option C is correct.

There is one other feature of this question that needs to be pointed out.

Note
that the form of the question statements is the same as the form of the answer
options.

When you are under pressure it is very easy to confuse the two lists, which means
that you would be using one of the answer options to construct the sequence.

If you see a question of this type, then cover the answer options until you have
constructed the formula. Then compare the answer options to the formula oneby
one.

10. The founder members of the European Union have comprehensive welfare systems to
ensure that their citizens are cared for if they are unable to work. There is no reason why the
countries which have recently joined the European Union should not provide similar welfare
systems for their own citizens.

Which of the following, if true, would weaken the above argument?

Which of the following, if true, would weaken the above argument?

Correct Answers :

[E]

Explanation :

Remember, in these types of question you are looking for the best answer.

A. This statement is true but does not weaken the argument.

B. This statement assumes that countries with larger populations find it more
difficult to provide welfare systems. There is no evidence for this.

C. This statement is contentious and does not weaken the argument.

D. This statement is true but says nothing about the ability of these countries
to provide welfare.

E. This statement best weakens the argument since countries with less
developed economies are less likely to be able to afford comprehensive
welfare systems.

Option E is correct.

11. During the past four days over one hundred students at the university have reported
symptoms of amoebic food poisoning, but only five students have tested positive for the
condition. A public health inspector claims that this apparent outbreak can be attributed to
a consignment of pork used by the refectory as an ingredient in a variety of meals served
four days ago.
Which of the following statements best supports the health inspectors claims?

Correct Answers :

[E]

Explanation :

A. This statement has no bearing on the health inspectors claims.

B. This statement has no bearing on the health inspectors claims.

C. This statement has no bearing on the health inspectors claims but suggests
that more students may have contracted the disease than those who have
already reported symptoms.

D. This statement has no bearing on the health inspectors claims. Just
because students who are infected may not show symptoms does not alter
the fact that they are infected.

E. This statement best supports the health inspectors claims as it suggests
that many of the students who have reported symptoms would test positive
if the test was carried out four days or more after the onset of symptoms.

Option E is correct.

12. Geraldine earns more than Maria. But since Sophie earns more than Anne, it follows that
Geraldine earns more than Anne.

Which of the following statements does not support the conclusion above?

Which of the following statements does not support the conclusion above?

Correct Answers :

[C]

Explanation :

The first two statements give the following:

Geraldine > Maria

Sophie > Anne

Where > means ‘earns more than’.

Working through the answer statements gives the following:

A. Geraldine > Maria > Anne

B. Geraldine > Maria > Sophie > Anne

C. Sophie > Geraldine > Maria

D. Geraldine > Maria = Sophie > Anne

E. Geraldine = Sophie > Anne

A. Supports the conclusion that Geraldine earns more than Anne.

B. Supports the conclusion that Geraldine earns more than Anne.

C. Does not support the conclusion that Geraldine earns more than Anne.

D. Supports the conclusion that Geraldine earns more than Anne.

E. Supports the conclusion that Geraldine earns more than Anne.

Option C is the correct answer.

13. The principality of Angora has a population of 100,000. Exactly 60% of the population are
citizens of the principality and 50% are over 21 years of age. How many people are eligible
to vote?

Statement 1 - Exactly 80% of citizens complete their national service.

Statement 2 - Only citizens over 21 years of age who have completed their national

service are permitted to vote.

Which of the statements above make it possible to answer the question.

Statement 1 - Exactly 80% of citizens complete their national service.

Statement 2 - Only citizens over 21 years of age who have completed their national

service are permitted to vote.

Which of the statements above make it possible to answer the question.

Correct Answers :

[E]

Explanation :

The first statement alone is insufficient because the question statement does not
specify the relevance of national service.

The second statement alone is insufficient because the question statement does
not specify the proportion of citizens who have completed their national service.

Taking the first and second statements together it is still not possible to answer
the question of eligibility. This is because even though we know the percentage
of citizens and the percentage of people over 21 years of age, it is not stated
what percentage of the population are citizens of the principality and are also
over 21 years of age.

Therefore Statements 1 and 2 together are not sufficient.

Option E is correct.

14. There are two standing stones in a field. The first casts a shadow 4 metres long and the
second casts a shadow 5 metres long. How tall is the second standing stone?

Statement 1 - The first standing stone is 3 meters tall.

Statement 2 - The stones are 20 metres apart.

Which of the statements above make it possible to answer the question.

Statement 1 - The first standing stone is 3 meters tall.

Statement 2 - The stones are 20 metres apart.

Which of the statements above make it possible to answer the question.

Correct Answers :

[A]

Explanation :

Statement 1 alone is sufficient. Since we now have both, the height of the first
stone and the length of its shadow, the height of second stone can be found using the same ratio.

Second 2 alone is insufficient.

The distance between the stones does not provide any information about their heights.Therefore Statement 1 alone is sufficient to answer the question and statement 2
alone cannot answer the question.

Option A is the correct answer.

Note that you do not need to actually calculate the result—only to deduce that
you need both pieces of information to do so.

15. The price of both the Sony VM1 and the LG VX2 video monitors were reduced in the annual
sale. Which item was reduced by the larger amount?

Statement 1 - The price of the Sony VM1 was reduced by 20%.

Statement 2 - The price of the LG VX2 was reduced by 50%.

Which of the statements above make it possible to answer the question.

Statement 1 - The price of the Sony VM1 was reduced by 20%.

Statement 2 - The price of the LG VX2 was reduced by 50%.

Which of the statements above make it possible to answer the question.

Correct Answers :

[E]

Explanation :

Statement 1 is not sufficient as it says nothing about the reduction of the LG
VX2.

Statement 2 is not sufficient as it says nothing about the reduction of the Sony
VM1.

Statements 1 and 2 together are not sufficient because they give only the
percentage reduction and the initial prices are not known. It is therefore not
possible to say which monitor was reduced by the larger amount.

Option E is the correct answer.

16. Of the teams competing in the world archery championships, forty percent are from Europe.
Three quarters as many are from the United States and one tenth are from Africa. What
fraction of teams are from neither Europe, the US or Africa.

Correct Answers :

[C]

Explanation :

The fractions are calculated as follows:

Europe = 40% United States = 30% Africa = 10%

40% + 30% + 10% = 80% of teams are from Europe, the US or Africa.

Therefore 20% must be from other countries. 20% equates to 1/5.

Option C is correct.

17. Fiona visits either her mother or her sister every day. Sometimes she has use of the car and
sometimes her son takes it. If it is a Monday & she has the car then Fiona visits her mother.

If it is a public holiday and she does not have the car then Fiona visits her sister. Sometimes it can be a Monday and a public holiday.

Which of the following statements must be true?

If it is a public holiday and she does not have the car then Fiona visits her sister. Sometimes it can be a Monday and a public holiday.

Which of the following statements must be true?

Correct Answers :

[D]

Explanation :

The question statement can be summarized as follows:

Monday + Car = Visits Mother

Public Holiday + No Car = Visits Sister

A. May not be true because there is no mention of car.

B. May not be true because it may not be a Monday.

C. May not be true because it may not be a Monday.

D. Must be true because Monday + Car = Mother.

E. May not be true because there is no mention of car.

Option D is the correct answer.

18. In the national university baseball league, the record of the teams is as follows:

Harvard have won the fewest games followed in ascending order by Yale, Duke and Princeton. Cornell are one game ahead of Duke. Princeton and Stanford are two games ahead of Cornell. Duke and Princeton have won an equal number of games. Duke wins the next match. Which team is now at the same level as Cornell?

Harvard have won the fewest games followed in ascending order by Yale, Duke and Princeton. Cornell are one game ahead of Duke. Princeton and Stanford are two games ahead of Cornell. Duke and Princeton have won an equal number of games. Duke wins the next match. Which team is now at the same level as Cornell?

Correct Answers :

[C]

Explanation :

On the basis of the given information, you can construct the following:

Princeton > Duke > Yale > Harvard

Cornell > Duke > Yale > Harvard

Princeton = Stanford > Cornell > Duke > Yale > Harvard

Stanford > Princeton > Cornell > Duke > Yale > Harvard

Therefore Duke is now in fourth place.

Option C is the correct answer.

19. A crate of wine costs the retailer $225.

How much profit does the retailer make on each bottle?

Statement 1 - The bottles are sold for $25 each.

Statement 2 - There are 12 bottles in a crate.

Which of the statements above make it possible to answer the question.

How much profit does the retailer make on each bottle?

Statement 1 - The bottles are sold for $25 each.

Statement 2 - There are 12 bottles in a crate.

Which of the statements above make it possible to answer the question.

Correct Answers :

[C]

Explanation :

A crate of wine costs the retailer $225.

How much profit does the retailer make on each bottle?

The bottles are sold for $25 each.

There are 12 bottles in a crate.

We need to know the number of bottles in a crate and the selling price of a bottle
to know the relationship between the cost and the selling prices of a bottle.

The first statement alone is not sufficient to answer the question as it gives the
selling price of a bottle, but the number of bottles per crate is not known.

The second statement alone is not sufficient. The cost of a bottle can be obtained,
but the selling price of each bottle is not known.

Combining the two statements, the selling price of a bottle can be obtained from
the first statement and the cost per bottle is known from the main question and
the second statement. Therefore both the statements together are sufficient to
answer the question.

Option C is the correct answer.

20. A study of the reading habits of ‘OK’ magazine subscribers found that an average of
between three and four people actually read each copy of ‘OK’. On this basis, we estimate
that the 500,000 copies of ‘Hello’ that are sold each month are actually read by 1,500,000
to 2,000,000 people. The estimate above assumes that:

Correct Answers :

[B]

Explanation :

The estimate assumes that: The ratio of copies to readers is the same for ‘Hello’
as for ‘OK’ magazine.

The ratio of copies to readers for ‘OK’ magazine is one copy to every three or
four readers. In order for ‘Hello’ magazine, with a circulation of 500,000 copies,
to be read by 1.5 to 2 million readers each copy would need to be read by three
or four people.

Option B is correct.

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