1. One in 1,000 licensed traders will eventually be convicted of violations of the Securities and Exchange Act. Over the last five years, eight of the 1,000 traders at Salamen, a top trading firm, have been convicted of such violations. This record clearly indicates that traders at Salamen are approximately eight times as corrupt as other traders from similar firms. Which one of the following statements, if true, most weakens the argument? 1. A) Salamen hires from business schools with the highest quality of graduates and the most scrupulous standards. B) The Securities and Exchange Commission is far more likely to investigate trading firms than other businesses. C) A greater number of the Salamen employees with MBAs investigated for possible violations of the Securities and Exchange Act were cleared of all wrong doing than were their counterparts at other trading firms. D) Most of the employees of Salamen are scrupulously honest and would not intentionally act in such a way as to violate a regulation such as the Securities and Exchange Act. E) The level of corruption of individuals on a staff is not directly related to the proportion of these individuals who have been convicted of corrupt behavior. (E) The key issue is a false assumption. The argument is based on the premise that if eight times as many people as the average were convicted, then the firm is eight times more corrupt. The convictions of a few individuals do not mean the firm is eight times as corrupt as other firms. (A) is a poor choice since the place from which the traders were hired is not relevant to the contention that a higher record of conviction means a higher level of corruption. (B) doesn't directly address the issue of corruption: just because they are investigated more doesn't mean they are more or less corrupt. (C) seems to counter the passage, but does not address the eight times as corrupt issue. (D) does seem to suggest that Salamen employees are less corrupt, but does not address the eight times as corrupt issue directly. 2. Former prisoners of Japanese internment camps seeking monetary reparations from the government are often told, "There is neither wealth nor wisdom enough in the world to compensate in money for all the wrongs in history." Which of the following most weakens the argument above? A) Prior wrongs should not be permitted as a justification for present wrongs. B) Even though all wrongs cannot be compensated for, some wrongs can be. C) Since most people committed wrongs, the government should compensate for wrongs with money.
D) Monetary reparations upset social order less than other forms of reparation. E) Since money is the basic cause of the wrongs, should it not be the cure? (B) The argument states that there can be no compensation for "all the wrongs in history," but the argument is about just one wrong of history. Even though all wrongs cannot be compensated for, some wrongs can be. 3. The earliest known Askinazi Indians are those of the Arizona small pueblo settlements near the Grand Canyon at 100 A.D. Their adaptive success is obvious in the speed with which they spread eastward and south across New Mexico and they reached the Mexican plateau by 1000 A.D. Which of the following, if true, would refute the above? A) The earliest Grand Canyon pueblos date back to 100 A.D. B) The Maya dominated Mexico during 800 and 1100 A.D. C) Askinazi artifacts of early settlements in northeast Mexico date back further than artifacts found near the Grand Canyon. D) The Askinazi built massive pueblos that required advanced technologies. E) The Askinazi faded by 1200 A.D. (C) Alternative (C) suggests that the Askinazi were in northeast Mexico prior to the time they settled near the Grand Canyon. This contradicts the claim that they first settled at the Grand Canyon and migrated eastward. Because the argument is based on their rapid expansion, choice (C) best refutes the passage. Answer choice (A) supports the statement chronologically. Answer choices (B), (D), and (E), are not relevant to the argument. 4. A group of scientists studying an adobe community in New Mexico discovered extensive pre-Columbian tribal records that discuss contact with UFOs. These records outline how the aliens taught the tribe to build pyramids and how the alien culture was integrated into tribal culture. The scientists concluded, based on the unprecedented nature of the find, that UFOs must exist. Which one of the following represents the most reasonable conclusion to be drawn from the passage? A) The technology used to analyze and detect UFOs has improved considerably since the tribe recorded its encounters. B) Scientists have never found evidence of this kind before. C) There are other undiscovered accurate records of encounters between the aliens and the tribe. D) The tribal culture was exclusively devoted to learning from the aliens. E) The tribe commonly uses hallucinogenic drugs as part of ceremonies and this may responsible for their unusual "sightings." (B) The passage says that this was an "unprecedented find" so we know that the scientific community has never seen something like this before. (A) Technology here is not relevant and
not an issue. (C) The records may be a local mythology and have no basis in fact. Even if they are true, that doesn't mean that other records exist, undiscovered or otherwise. (D) and (E) may be true, but you cannot draw these conclusions from the paragraph. 5. Opening a retail business in Kosovo is not inadvisable, despite what critics of the plan may say. Eighteen years ago, we opened a retail business in Beirut during an invasion, and that location has been generating profits ever since. Which of the following is the author of the above argument trying to imply? A) The proposed retail store can make money despite being in the middle of a war zone. B) Wars are profitable for retail. C) Kosovo is not as politically unstable as Beirut. D) Opponents of a new construction company in Kosovo are probably biased. E) The proposed company in Kosovo will do better than the construction company in Beirut. (A) The author is using his prior experience to make a generalization. If he thought wars were profitable, he would be more encouraging of the venture instead of stating that it is "not inadvisable". Choice (B) is incorrect because, though the author does imply that war is not bad for business, he does not argue that war is good for business. 6. The main export from Zambia is natural resources. Bauxite and silver are the two main exports, and zinc and tin are insignificant. Outside of this group, the only important item is ivory (largely illegal), though the exports of grain and meat are by no means negligible. Which one of the following conclusions is best supported by the statements above? A) Ivory, though not as important an export as natural resources, is an important component of the export trade. B) Ivory is nearly as important an export as silver. C) Zinc is a valuable Zambian export. D) Food exports are a bigger industry than bauxite in Zambia. E) Meat exports are critical to the Zambian economy. (A) Natural resources are mentioned as the major export, and bauxite and silver as the most important. Apart from natural resources, ivory is mentioned as the only other significant export. Therefore, (A) is correct. No mention is made of the importance of ivory relative to silver or other natural resources, so choice (B) can be ruled out. Zinc and tin were mentioned as insignificant exports, so choice (C) is not appropriate. Though the passage does not rule out the possibility that the food trade is larger than the bauxite trade in Zambia, it also does not provide any evidence for concluding this, so choice (D) can also be ruled out. Choice (E) is clearly incorrect: the first sentence of the passage states that by far the main export is natural resources. 7. It is a myth that U.S. workers are pricing themselves out of the market. The wages of U.S. manufacturing workers increased at a slower rate in the 1970's than those of workers in other major countries. Between 1970 and 1980, pay increased 489% in Japan and 464% in Germany, compared to 128% in the United States. Even though these countries experienced faster productivity growth, their unit labor costs still rose faster than in the
United States. During the 1970's, unit labor costs rose 192% in Japan, 252% in Germany, and only 78% in the United States. According to the above passage: A) unit labor costs in the 1970's were higher in Japan than they were in Germany or the United States B) the wages of U.S. workers need to be increased to be consistent with other countries. C) U.S. workers are more productive than Japanese or German workers D) the wages of U.S. workers in manufacturing increased at a slower rate in the 1970's than the wages of workers in Japan or Germany E) Workers in Japan and Germany work harder than workers in the U.S., and their wages have increased accordingly. (D) Answers A and C are incorrect because they are simply not supported by the facts stated in the passage. Answer B is not necessarily true because the passage compares wages in terms of percentage increases, not actual wages. Answer D is almost identical to the second sentence in the passage, and is correct. 8. It is only in the last 6,000-years or so that men have descended into mines to chop and scratch at the earth's crust. Human history is the equivalent of a few seconds in the 15 billion year life of the earth. What alarms those who keep track of the earth's crust is that since 1950 human beings have managed to consume more minerals than were mined in all previous history, a splurge of a millisecond in geologic time that cannot be long repeated without using up the finite riches of the earth. Which is the main idea of the author: A) There is cause for concern at the escalating consumption of the earth's minerals in recent years B) Human history is the equivalent of a few seconds in the 15 billion year life of the earth C) The earth will soon run out of vital mineral resource D) The extraction of minerals from the earth's crust only began 6,000years ago. E) Advances in technology have enabled humans to utilize the minerals in the earth's crust. Answer B is true, but is not the main point of the passage. Likewise, answer D is true, but again, is not the main idea of the author. Answer C is possibly true, and is certainly suggested as a potential problem, but it is almost too strong a statement without something like "unless something changes" at the end. Answer A is the only one that really reflects the main idea of the passage. 9. Enrollment in computer training programs tends to be high in a strong economy and much lower during weak economic times. How individuals view the likelihood of future job availability, therefore, affects people's willingness to pass up immediate their current employment opportunities in order to invest in career-related training. The argument above assumes that:
A) those who enroll in computer training schools during a strong economy help increase the economy's strength. B) computer training programs admit fewer students during recessions. C) perceptions of the likelihood of job availability are related to the state of the economy. D) the perceived likelihood of job availability has decreased in recent years. E) all those who avoid computer training school during an economic slump do so because of the perceived lack of future jobs. (C) In this question we have to find what assumption underlies this argument. The argument involves a question of cause and effect. Since enrollment in computer training programs tends to be high when the economy is strong and low when it is weak, the reason must be, according to the author, a matter of people's perceptions of job availability. Sounds reasonable, but do all the terms match up with those in this conclusion? We know from the question stem that they do not. What's missing? Well, the evidence pertains to the state of the economy. But the conclusion strays into the area of psychology--people's perceptions. Are these the same things? The author treats them as such by arguing from evidence regarding the state of the economy to a conclusion based on people's perceptions of the economy. The author takes the relationship between these for granted, but technically, in order for the argument to work, this must be established. (C) is this basic assumption. 10. In Los Angeles, a political candidate who buys saturation TV advertising will get maximum name recognition. The statement above logically conveys which of the following? A) TV advertising is the most important factor in political campaigns in Los Angeles. B) Maximum name recognition in Los Angeles will help a candidate to win a higher percentage of votes cast in the city. C) Saturation TV advertising reaches every demographically distinct sector of the voting population of Los Angeles. D) For maximum name recognition a candidate need not spend on media channels other than TV advertising. E) A candidate's record of achievement in the Los Angeles area will do little to affect his or her name recognition there. (D) An L.A. political candidate who buys saturation TV advertising will get maximum name recognition. In other words, such advertising is sufficient for maximum name recognition. If so, then it must be true that, as (D) says, a candidate can get such recognition without spending on other forms of media.
1. In 2001, a company marketed 730,000 units of its product. In 2001 its yearly volume was 50% of its volume for 2004. The 2004 volume represents how many units for each of the 365 days of 2004? A. 5,000 units B. 4,000 units C. 2,000 units D. 1,100 units E. 1,000 units Correct answer: B As an example of Logic-based Reasoning: 2. Purchasing can have a significant effect on an organization’s total profit. However, the success of a purchasing function relies on competent buyers and a purchasing manager who employs systematic purchasing methods and implements technological advances. If an organization’s profitability is in jeopardy, the efficiency and skill of its purchasing function may determine whether it operates at a profit or at a loss. As such, the purchasing function bears a significant amount of the responsibility for an organization’s profit, and, whenever an organization strives to produce profit, it will expend the effort required to hire capable and qualified buyers as well as a knowledgeable, intelligent purchasing manager. From the information given above, it can be validly concluded that: A. If an organization’s profitability is not in jeopardy then the competence of its purchasing function will not determine whether it operates at a profit or at a loss. B. There are at least some purchasing functions that are not responsible for a significant amount of an organization’s profit. C. A non-purchasing function will not bear significant responsibility for the profit of an organization. D. An organization whose profitability is in jeopardy may depend on the efficiency and skill of its purchasing function to determine whether it operates at a profit or at a loss. Correct answer: D
1) What is the missing letter in this series: a
a
b
b
?
c
2) What is the missing letter in this series:
c
c
d
?
e
f
g
g
h
3) What is the missing letter in this series: a
z
b
?
c
x
4) What is the missing letter in this series: f
g
e
h
d
i
c
?
5) What is the missing letter in this series: r
q
p
r
q
p
?
6) What is the missing letter in this series: b
e
h
k
n
?
t
7) What is the missing letter in this series: y
e
w
g
u
i
?
8) What is the missing letter in this series: x
?
p
l
h
9) What is the missing letter in this series: c
c
d
f
i
?
10) What is the missing letter in this series: j
g
d
k
?
e
l
11) What is the missing letter in this series: a
b
d
h
?
12) What is the missing letter in this series: b
g
d
i
?
k
h
13) What is the missing letter in this series: a
d
i
?
14) What is the missing letter in this series: g
?
d
i
j
d
k
l
d
15) What is the missing letter in this series: p
q
q
?
s
s
t
u
16) What is the missing letter in this series: g
g
k
k
o
o
?
17) What is the missing letter in this series: y
e
u
i
q
m
?
18) What is the missing letter in this series: v
s
p
w
t
q
?
19) What is the missing letter in this series:
a
b
k
c
d
k
e
?
20) What is the missing letter in this series: q
r
k
s
t
i
u
v
?
21) What is the missing letter in this series: c
j
q
x
e
?
s
22) What is the missing letter in this series: y
d
j
w
f
l
u
h
?
23) What is the missing letter in this series: m
o
n
n
o
m
p
?
24) What is the missing letter in this series: c
d
c
d
d
d
e
d
e
?
25) What is the missing letter in this series: a
b
b
d
c
f
d
?
26) What is the missing letter in this series: b
c
e
g
k
?
q
s
27) What is the missing letter in this series: m
n
n
o
o
?
p
p
p
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 a b c d e f g h i j
k
Question Answer
l m n o p q
r
s
t
u v w x
How to work out the answer
1
3c
Letters increment by one every second letter.
2
4e
ccd ... Eef ... ggh!
3
5y
Ist letter of alphabet, then last, 2nd, 2nd last, 3rd, 3rd last
4
3j
2 interspersed sequences. First decreasing by one: fedc and second increasing by one: ghi J
5
4r
Letters are in triplets decreasing by one. rqp ... rqp .... Rqp
6
3q
Letters go up by three each time. 2nd letter of alphabet, 5th 8th etc.
7
1s
2 interspersed sequences again. First one decrementing by 2, second incrementing by 2
y
z
8
5t
Letters decrement by 4 each time
9
4m
The gap between letters increases by one each time 0, 1, 2, 3, 4
10
1h
Letters are in triplets which decrement by 3, but starting letter of each triplet increments by one: 10,7,4 ... 11,8,5
11
5p
Letters double each time 1, 2, 4, 8, 16 - n
12
4f
2 seqences interspersed, both incrementing by 2 each time
13
1p
Sequence of squares according to place in alphabet: 1, 4, 9, 16 - p
14
4h
Take out the d's and you get a simple alphabetical sequence!
15
1r
Letter are in triplets: letter, letter+1, letter+1, then triplet repeats but incremented by 2.
16
2s
Letters are in pairs which increment by 4 places in the alphabet each time.
17
1m
The odd letters decrement by 4 each time.
18
3x
Each whole triplet increments by one, whilst the letters in the triplet decrease by 3.
19
1f
Take out the k's and you have a simple alphabetical sequence.
20
5g
Each third letter descends by 1
21
2l
Each letter increments by 7, the alphabet wraps round.
22
3n
Each third letter increments by 2
23
1l
The even letters decement by one each time.
24
3f
These are triplets, the first and the last letter of the triplet increments by 1 each triplet.
25
4h
Every second letter increments by 2
26
2m
Getting hard now! Prime numbers.
27
5o
1 m, 2 n's, 3 o's, 4 p's.
NUMERICAL REASONING TEST 1) What is the missing number? 83 - 17 = 56 + ? SEE GRAPH ABOVE 2) Which company's sales were most consistent throughout the year?
3) In which month did the sales of Hole in Roof and Stones' Throw differ the most? 4) Which month gave the largest number of sales for all the companies combined? 5) What was the percentage increase in sales for Hot House between July and August? 6) SEE GRAPH ABOVE. How far does the student walk in total?
7) How far is he from the university students' union at 8.20 am? 8) What is the average speed of the bus? 9) What is the missing number? 56 / 7 = ? – 5 10) What is the missing number? 20 / 0.8 = ? 11) Which is the largest fraction: 3/4
7/8
4/5
7/9
7/10
12) If oranges cost 5 for 75c how many can you buy for $2.70? (Assuming they can be bought singly) 13) A shed has a side wall of the dimensions shown. Calculate the area of the wall in square feet.
14) A car left Canterbury at 7.12 am and arrived in Birmingham, 180 miles distant at 10.57 am. What was its average speed in miles per hour? 15) An aircraft flies 930 miles in 75 minutes. How many miles does it fly in 4 hours 45 minutes assuming a constant speed? 16) You get a wage increase of 4% plus an extra five pounds per week. Your present wages are 250 pounds per week. What will your new wage be in pounds? 17) What is the total income in pounds of the taxi driver for the whole year?
18) What is her total expenditure over the year to the nearest pound? 19) What is her average excess of income over expenditure per month to the nearest pound?
20) A cube has a volume of 8 cubic metres. If each side is doubled in length what will its new volume be in cubic metres? 21) A driver drives 8 km South then 6 km W. and 2 km S. again. She then drives 3 km E. to avoid a traffic jam before driving 6 km N. How many kilometres is she from her starting point? 22) What was the largest number of students in any year that went on to further study?
23) What was the decrease in the number of graduates in employment between 2002 and 2004? 24) In 2004 how many social science students were in employment after graduating? 25) Which month showed the largest total decrease in PC sales over the previous month?
26) What percentage of Manufacturer 2's sales were made in April (to the nearest percent)? 27) If the average profit made on each PC sold by Manufacturer 3 over all 5 months was 78 pounds what was the total profit in pounds on all sales in this period by that manufacturer?
Question
Answer
Question
Answer
Question
Answer
1
2: 10
10
5: 25
19
1: £6
2
5: Frying Tonight
11
3: 7/8
20
5: 64
12
4: 18
21
2: 5
13
4: 30
22
3: 585
14
4: 48 mph
23
1: 125
15
5: 3534 m
24
5: Can't say
16
2: £265
25
3: May
17
1: £11,592
26
2: 22%
18
5: £11,523
27
5: £1,177,800
3 3: July 4 3: June 5 1: 20 6 2: 2 km 7 3: 3 km 8 2: 24 kmph 9 2: 13
How to work out the answers 1) 83 -17 = 56 + ? 66 = 56 + ? ? = 66 - 56 = 10 2) Which company's sales were most consistent throughout the year? Range of Frying Tonight is minimum 1 (e.g. January) to maximum 3 (e.g. May): a range of only 2. 3) In which month did the sales of Hole in Roof and Stones' Throw differ the most? Sales of Hole in the Roof are 2 in July: sales of Stones' Throw are 9 that month: a difference of 7 which is the greatest difference. 4) Which month gave the largest number of sales for all the companies combined? June: 3 + 6 + 6 + 7 + 8 = 30 sales in June 5) What was the percentage increase in sales for Hot House between July and August? Hot House sales in July = 5. Sales in August = 6 a) find the difference between the two numbers: 6 - 5 = 1 b) Take this difference (1) and divide by the original number: 6/5 = 0.2 c). Lastly, multiply this by 100: 0.2 x 100 = 20% 6) How far does the student walk in total? One km from 8.00 to 8.10 and another km from 8.25 to 8.35 = 2 km total 7) How far is he from the university students' union at 8.20 am? Students' union is at 6 km distance from home. At 8.20 am student is at 3 km from home. Therefore he has 3 km still to travel to the union. 8) What is the average speed of the bus? Student gets on bus at 8.15 am at 1 km from home. Student gets of bus at 8.25 am at 5 km from home. Therefore bus travels 4 km in 10 minutes The bus would travel six times as far in one hour = 6 x 4 km in one hour = 24 kmph 9) What is the missing number? 56 / 7 = ? - 5 56/7 = 8 Therefore 8 = ? - 5 8 = 13 - 5 10) What is the missing number? 20 / 0.8 = ? 20 / 0.8 = 25 (NOT 16: try it on a calculator if you don't believe it. Dividing by a fraction always gives a larger number)
11) Which is the largest fraction: 3/4 7/8 4/5 7/9 7/10 3/4 = 0.75, 7/8 = 0.875, 4/5 = 0.8, 7/9 = 0.777..., 7/10 = 0.7 12) If oranges cost 5 for 75p how many can you buy for £2.70? (Assuming they can be bought singly) 5 oranges cost 75p, therefore one orange costs 75 divided by 5 = 15p £2.70 is the same as 270p. Therefore the amount of oranges you get for 270p = 270 divided by the cost of one orange = 270 divided by 15 = 18 oranges 13) A shed has a side wall of the dimensions shown. Calculate the area of the wall in square feet. Area = area of square + area of triangle at top Area of square = length x width = 6 x 4 = 24 square ft Area of triangle = base x perpendicular height / 2 = 6 x (6 -4) / 2 = 6 sq ft Total area = 24 + 6 = 30 sq feet Or you can use the formula for the area of a trapezium. Area = average of the length of the two different sides x length of base = (6 + 4)/2 x 6 = 5 x 6 = 30 14) A car left Canterbury at 7.12 am and arrived in Birmingham, 180 miles distant at 10.57 am. What was its average speed in miles per hour? Time taken = 3 hours 45m = 3.75 hours (15/4 hours if you prefer fractions). Speed = distance / time taken = 180 / 3.75 = 48 mph 15) An aircraft flies 930 miles in 75 minutes. How many miles does it fly in 4 hours 45 minutes assuming a constant speed? 75 minutes = 75 / 60 hours = 1.25 hours (or 5/4 hours if you prefer fractions) Speed of aircraft = 930 / 1.25 = 744 mph 4 hours 45 m = 4.75 hours (or 19/4 hours in fractions) Therefore aircraft will fly 744 x 4.75 miles = 3534 miles 16) You get a wage increase of 4% plus an extra £5 per week. Your present wages are £250 per week. What will your new wage be? Present wage = 250 4% of 250 = 4 x 2.5 = £10 Therefore new wage = 250 + 10 + 5 = £265 17) What is the total income of the taxi driver for the whole year? Average fare = 4 x 90p = £3.60 Income per week = 70 fares at £3.60 each = 70 x 3.60 = £252 Income for 46 weeks work = £252 x 46 = £11,592
18) What is her total expenditure over the year to the nearest pound? Car/Service/MOT/Repairs/ Insurance = £1250 p.a. Mortgage costs = £250 per month = 250 x 12 per annum = £3000 p.a. Other expenditure = £125 per week = £125 x 52 per annum = £6500 p.a. Diesel fuel costs = 6p per mile. Annual mileage = 4 miles x 70 fares per week = 280 miles per week = 280 x 46 weeks worked each year = 12,880 miles Therefore diesel cost = 12,880 x £0.06 = £772.8 Therefore total expenditure = £1250 + £3,000 + £6,500 + £772.8 = £11,522.8 = £11,523 to nearest pound 19) What is her average excess of income over expenditure per month to the nearest pound? Income p.a. = £11,592 Expenditure p.a. = £11,523 (answers to previous two questions) Therefore excess of income over expenditure = £69 p.a. = £69 / 12 per month = £5.75 = £6 per month to nearest pound 20) A cube has a volume of 8 cubic metres. If each side is doubled in length what will its new volume be in cubic metres? Volume = length x width x height 8 = l x w x h but l, w and h are all equal as it is a cube Therefore l = w = h = 2m If each side is doubled in length l = w = h = 4m Therefore new volume = 4 x 4 x 4 = 64 cubic metres Or if you prefer the quicker method. If each side is doubled in length then the new volume must be 2 to the power 3 bigger = 8 x 8 = 64 21) A driver drives 8 km South then 6 km W. and 2 km S. again. She then drives 3 km E. to avoid a traffic jam before driving 6 km N. How many kilometres is she from her starting point? Total distance driven South = 8 + 2 - 6 km = 4 km Total Distance driven West = 6 - 3 km = 3 km This makes a right angled triangle where the distance from her starting point is the hypotenuse. Using Pythagoras Theorem: "In any right triangle, the area of the square whose side is the hypotenuse (is equal to the sum of the areas of the squares of the other two sides" 4 squared + 3 squared = hypotenuse squared 16 + 9 = 25 = hypotenuse squared Therefore hypotenuse (distance from starting point) = square root of 25 = 5km Or a simpler method is to see that the distances make a 3, 4, 5 triangle so the distance from start is 5 km 22) What was the largest number of students in any year that went on to further study? 2004 has the most students entering further study: 39% of 1500 students 39/100 x 1500 = 585 students in 2004
23) What was the decrease in the number of graduates in employment between 2002 and 2004? Number of graduates in employment in 2002 = 1,700 x 40/100 = 680 Number of graduates in employment in 2004 = 1,500 x 37/100 = 555 Decrease = 680 - 555 = 125 graduates 24) In 2004 how many social science students were in employment after graduating? Can't say: there is insufficient data. 25) Which month showed the largest total decrease in PC sales over the previous month? Drop is from 3,400 + 3,800 + 2,900 in April (total 10,100) to 2,800 + 2,900 + 2,900 in May (total 8,600), a drop of 1,500. 26) What percentage of Manufacturer 2's sales were made in April (to the nearest percent)? Manufacturer 2's Sales are March 4,100 April 3,800 May 2,900 June 3,100 July 3,500 Total Sales = 17,400 Sales in April = 3,800 Percentage of sales in April = 3,800 / 17,400 x 100 = 21.8% = 22% rounded to nearest percent 27) If the average profit made on each PC sold by Manufacturer 3 over all 5 months was £78 what was the total profit on all sales in this period by that manufacturer? Total sales for Manufacturer 3 = 2,800 + 2,900 + 2,900 + 3,200 + 3,300 = 15,100 Profit per PC = £78, therefore total profit = 15,100 x £78 = £1,177,800
NON-VERBAL REASONING TEST
Question 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Answer A E C D D B B C E E D B C A C D E A B D
Hint Countdown Going up! On top Lift Off! Mind the gap Colour cycling Count everything! Count the lines Rectangle orientation Blue squares Clockwise Follow the leader ... Lines Black dots Lines Square numbers Clockwise and anti Horizontals and verticals (Anti)-clock V is a red card referee !
How to work out the answers 1) 5 black, 4 red, 3 black, 2 red, 1 black: A is the answer 2) 1 black at bottom, 2 black top, 3 black bottom, 4 black top, 5 black at bottom: E is the answer 3) blue square, blue square + red circle underneath, blue square + red circle + green triangle on top, blue square + red circle + green triangle + black circle underneath, blue square + red circle + green triangle + black circle + red square on top: C is the answer 4) Each time one dot is removed so the last box should show one dot. This must be answer D as it is the only box with a dot in the same location (South) as in the previous box. 5) E & W openings in the square, plus one object at N & S N & S openings, plus 2 objects at N & S E & W openings, plus one object at N & S
N & S openings, plus 2 objects at N & S E & W openings, plus one object at N & S: D is the answer 6) In each consecutive box one rectangle changes colour. A new colour introduced in a previous box will colour both rectangles in the next box. Red Red Red Blue Blue Blue Blue Green Green Green: B is the answer 7) 8 green dots, 4 red, 4 blue, 4 black 6 green dots, 3 red, 3 blue, 3 black 4 green dots, 2 red, 2 blue, 2 black 2 green dots, 1 red, 1 blue, 1 black 0 green dots, 0 red, 0 blue, 0 black: B is the answer 8) Each box contains 8 straight lines and a circle Only answer C contains 8 straight lines and a circle 9) The innermost two rectangles are vertical, then horizontal, then vertical again then horizontal, So in the answer they must both be vertical therefore E is the answer 10) One blue square, then two blue squares, then three, then four so there must be five blue squares in the answer which is E 11) Each box increments by one blue segment (one eight of the square). So there are 4 segments in box four (half the square is filled). So there must be 5 blue segments (5/8th of the square) in the answer which leaves us with A or D. But the diagonal edge of the first segment is also rotating clockwise by 90% each time, so it should be aligned NW in the answer. therefore the answer is D 12) Items are introduced in this order: black square, black dot, red dot, blue square, green dot. New items are always introduced into the top right corner, therefore B is the answer. 13) The first box has 7 straight lines, the second 11, the third 15, the fourth 19 and so the fifth box will have 23 lines, so the answer is C 14) The first box has one black dot, the second 2, the third 3, the fourth 4 and so the fifth box will have five black dots, so the answer is A 15) The first box has two lines, the second 3, the third 4, the fourth 5 and so the fifth box will
have six lines, so the answer is C. 16) The first square has 25 black squares, the second has 16, the third 9, the fourth 4 and so the 5th will have one square (reducing sequence of the square numbers 25, 16, 9, 4, 1). Also squares are removed from the right and from the bottom, so the final square will be in the top left corner, thus the answer is D. 17) The red triangle rotates anticlockwise by one segment each box. the blue triangle rotates by one segment clockwise each box, so the answer is E. 18) The first box has 5 short lines and no long lines, the second box: 4 short & 1 long, the third box: 3 short & 2 long, the fourth box 2 short and 3 long. So each time there is one more long line and one less short line, so in the fifth box there will be 1 short and 4 long lines: the answer is A 19) The black line rotates by 45 degrees clockwise each time. The thick red line rotates 45 degrees anticlockwise each time, so the answer is B. 20) The hardest question! Each time a shape is removed and replaced by a different shape. The shape to be removed is always directly below the V shape (it points towards the next shape to be removed). So the next shape to be removed would be the green circle, so the answer is D.
