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Advanced Numerical Reasoning Test 2
Questions Booklet
Instructions
This numerical reasoning test comprises 30 questions, and you will have 30 minutes in
which to correctly answer as many as you can. Calculators are NOT permitted for this test,
and it is recommended you have some rough paper to work on.
This test comprises two sub-tests:
Subtest 1: Comparison of Quantities (Questions 1-15)
This test requires you to make a comparison between two quantities, A and B. For some of
the exercises, additional information is given which should also be used in your determination
of quantity.
Subtest 2: Sufficiency of Information (Questions 16-30)
This test consists of exercises in which you are given a question and two statements, labelled
(A) and (B), which give certain information. You are asked to decide whether the information
given in the two statements is sufficient to answer the question, either separately or in
combination.
Try to find a time and place where you will not be interrupted during the test. The test will
begin on the next page.
AssessmentDay
Practice Aptitude TestsA B
30% 1/3
Q1 Which value is greater A or B?
(A) Quantity A is greater than Quantity B.
(B) Quantity B is greater than Quantity A.
(C) Quantities A and B are equal.
(D) Insufficient information is given to make the comparison.
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The revenue generated from selling 55 units of The gross profit generated from selling 60
product A units of product B
Note: Product A is sold for £50. Product B is sold for £75. Both product A and B cost £30 to make.
Q2 Which value is greater A or B?
(A) Quantity A is greater than Quantity B.
(B) Quantity B is greater than Quantity A.
(C) Quantities A and B are equal.
(D) Insufficient information is given to make the comparison.
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5 x 9 x 3 35 + 45 + 51
Q3 Which value is greater A or B?
(A) Quantity A is greater than Quantity B.
(B) Quantity B is greater than Quantity A.
(C) Quantities A and B are equal.
(D) Insufficient information is given to make the comparison.
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The gross profit of company A The net profit of company B
Note: Company A generates 11.3 million in revenue with 8.5 million in costs. Company B generates
15.8 million in revenue with 12.4 million in costs.
Q4 Which value is greater A or B?
(A) Quantity A is greater than Quantity B.
(B) Quantity B is greater than Quantity A.
(C) Quantities A and B are equal.
(D) Insufficient information is given to make the comparison.
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16% of 527 0.095 x 876
Q5 Which value is greater A or B?
(A) Quantity A is greater than Quantity B.
(B) Quantity B is greater than Quantity A.
(C) Quantities A and B are equal.
(D) Insufficient information is given to make the comparison.
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An absolute majority of votes across 2.3 million A simple majority of votes across 4.8 million
voters voters
Q6 Which value is greater A or B?
(A) Quantity A is greater than Quantity B.
(B) Quantity B is greater than Quantity A.
(C) Quantities A and B are equal.
(D) Insufficient information is given to make the comparison.
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One third, of one fourth, of one sixth One half, of one eighth of one fifth
Q7 Which value is greater A or B?
(A) Quantity A is greater than Quantity B.
(B) Quantity B is greater than Quantity A.
(C) Quantities A and B are equal.
(D) Insufficient information is given to make the comparison.
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40 % of 8 sales averaging £2.80 per sale
30% of 5 sales averaging £5.85 per sale
Q8 Which value is greater A or B?
(A) Quantity A is greater than Quantity B.
(B) Quantity B is greater than Quantity A.
(C) Quantities A and B are equal.
(D) Insufficient information is given to make the comparison.
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(8 + Y) / X (3 + X) / (7 – Y)
Note: 5 < X < Y
Q9 Which value is greater A or B?
(A) Quantity A is greater than Quantity B.
(B) Quantity B is greater than Quantity A.
(C) Quantities A and B are equal.
(D) Insufficient information is given to make the comparison.
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The GDP per capita of country A The GDP per capita of country B
Note: County A has a GDP of 267 billion, and a population of 25 million. Country B has a GDP per
capita of £10,680.
Q10 Which value is greater A or B?
(A) Quantity A is greater than Quantity B.
(B) Quantity B is greater than Quantity A.
(C) Quantities A and B are equal.
(D) Insufficient information is given to make the comparison.
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Out of 150 throws, the estimated number of
Out of 50 throws, the estimated number of odd
2s landed on.
numbers landed on.
Note: The die is 6 sided and fair.
Q11 Which value is greater A or B?
(A) Quantity A is greater than Quantity B.
(B) Quantity B is greater than Quantity A.
(C) Quantities A and B are equal.
(D) Insufficient information is given to make the comparison.
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The estimated number of poisonous mushrooms The estimated number of poisonous
among 50 red mushrooms and 24 green mushrooms among 30 green mushrooms and
mushrooms 32 blue mushrooms.
Note: 22% of red mushrooms are poisonous. A third of green mushrooms are poisonous. Seven out
of 20 blue mushrooms are poisonous.
Q12 Which value is greater A or B?
(A) Quantity A is greater than Quantity B.
(B) Quantity B is greater than Quantity A.
(C) Quantities A and B are equal.
(D) Insufficient information is given to make the comparison.
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The speed of a car moving at 1.2 miles per
The speed of a train moving at 75 miles an hour
minute
Q13 Which value is greater A or B?
(A) Quantity A is greater than Quantity B.
(B) Quantity B is greater than Quantity A.
(C) Quantities A and B are equal.
(D) Insufficient information is given to make the comparison.
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The probability of selecting a yellow ball at The probability of selecting a green ball at
random random
Note: A bag contains fewer than 25 balls. 5 blue balls, 3 red balls, 8 green balls and the remainder
are yellow balls.
Q14 Which value is greater A or B?
(A) Quantity A is greater than Quantity B.
(B) Quantity B is greater than Quantity A.
(C) Quantities A and B are equal.
(D) Insufficient information is given to make the comparison.
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200%
The percentage increase from £150 to £450
Q15 Which value is greater A or B?
(A) Quantity A is greater than Quantity B.
(B) Quantity B is greater than Quantity A.
(C) Quantities A and B are equal.
(D) Insufficient information is given to make the comparison.
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One ounce of silver is worth £11.75 at week 1
Frank’s silver was worth £12,763 on week 3
and £24.21 by week 4.
Note: Frank invests in silver in week 1. By Week 2, his investment has increased by 3% in value. On
week 3, his investment drops by 1.3% from the previous week. On week 4, the value of his
investment doubles from the week 2 value.
Q16 How much is Frank’s silver worth on week 4?
(A) Statement 1 ALONE is sufficient, but statement 2 alone is not sufficient to answer the question.
(B) Statement 2 ALONE is sufficient, but statement 1 alone is not sufficient to answer the question.
(C) BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER
statement ALONE is sufficient.
(D) EACH statement ALONE is sufficient to answer the question asked.
(E) Statements 1 and 2 together are NOT sufficient to answer the question asked.
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Half of employees contribute 3% of their The average employee earns £2,218 per
monthly wages to their pension fund. month
Note: 46 employees are paying into a pension fund. Half of the employees contribute the same
amount each month.
Q17 How much does the average employee contribute in £?
(A) Statement 1 ALONE is sufficient, but statement 2 alone is not sufficient to answer the question.
(B) Statement 2 ALONE is sufficient, but statement 1 alone is not sufficient to answer the question.
(C) BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER
statement ALONE is sufficient.
(D) EACH statement ALONE is sufficient to answer the question asked.
(E) Statements 1 and 2 together are NOT sufficient to answer the question asked.
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The shares have increased in value by £2,115 The shares have accrued £134 worth of
every year since the shares were purchased 3 dividends every year since the shares were
years ago. purchased.
Q18 How much gross income would have been made on the shares if they were
to be sold now?
(A) Statement 1 ALONE is sufficient, but statement 2 alone is not sufficient to answer the question.
(B) Statement 2 ALONE is sufficient, but statement 1 alone is not sufficient to answer the question.
(C) BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER
statement ALONE is sufficient.
(D) EACH statement ALONE is sufficient to answer the question asked.
(E) Statements 1 and 2 together are NOT sufficient to answer the question asked.
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Michele and Janice’s combined income exceeds Michelle earns £5,000 per year more than
Albert’s. Janice.
Note: Albert earns double what Janice earns.
Q19 Who earns the most out of these three?
(A) Statement 1 ALONE is sufficient, but statement 2 alone is not sufficient to answer the question.
(B) Statement 2 ALONE is sufficient, but statement 1 alone is not sufficient to answer the question.
(C) BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER
statement ALONE is sufficient.
(D) EACH statement ALONE is sufficient to answer the question asked.
(E) Statements 1 and 2 together are NOT sufficient to answer the question asked.
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The cargo ship makes 4 journeys to city A from The cargo ship delivers £25,000,000 worth of
city B, and is 75% full for each journey. cargo each trip, with each tonne of cargo
valued at £30,303.03
Note: A cargo ship can transport a maximum of 275 tonnes of cargo at any given time.
Q20 What is the total combined value of the cargo transported across all four
trips?
(A) Statement 1 ALONE is sufficient, but statement 2 alone is not sufficient to answer the question.
(B) Statement 2 ALONE is sufficient, but statement 1 alone is not sufficient to answer the question.
(C) BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER
statement ALONE is sufficient.
(D) EACH statement ALONE is sufficient to answer the question asked.
(E) Statements 1 and 2 together are NOT sufficient to answer the question asked.
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At the beginning of 2013, company A had 5,460 The number of employees at company A
employees and 187 employees left company A increased by 7% by the end of 2013
during 2013.
Q21 What was the net change (%) in company A’s number of employees at the
end of 2013?
(A) Statement 1 ALONE is sufficient, but statement 2 alone is not sufficient to answer the question.
(B) Statement 2 ALONE is sufficient, but statement 1 alone is not sufficient to answer the question.
(C) BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER
statement ALONE is sufficient.
(D) EACH statement ALONE is sufficient to answer the question asked.
(E) Statements 1 and 2 together are NOT sufficient to answer the question asked.
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A maximum of 130 bushels of corn can be Corn is currently valued at £2.12 per bushel.
grown per acre per year.
Q22 How much profit can be generated by selling the maximum amount of corn
that can be grown from 17 acres of farm land in 1 year?
(A) Statement 1 ALONE is sufficient, but statement 2 alone is not sufficient to answer the question.
(B) Statement 2 ALONE is sufficient, but statement 1 alone is not sufficient to answer the question.
(C) BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER
statement ALONE is sufficient.
(D) EACH statement ALONE is sufficient to answer the question asked.
(E) Statements 1 and 2 together are NOT sufficient to answer the question asked.
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A visitor has a 1/5 chance of making a purchase The average purchase on the website is
valued at £5.82
Note: The website received 32,827 visitors this month.
Q23 How much revenue would be generated per visitor?
(A) Statement 1 ALONE is sufficient, but statement 2 alone is not sufficient to answer the question.
(B) Statement 2 ALONE is sufficient, but statement 1 alone is not sufficient to answer the question.
(C) BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER
statement ALONE is sufficient.
(D) EACH statement ALONE is sufficient to answer the question asked.
(E) Statements 1 and 2 together are NOT sufficient to answer the question asked.
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Denise and her partner’s combined monthly Denise pays £850 per month in rent. This
expenses equal £3,124, which is paid for accounts for an absolute majority of her
equally between the two of them. This monthly outgoings.
constitutes all of their expenses.
Note: Denise earns £2,478 per month after tax.
Q24 How much money will Denise have at the end of the month?
(A) Statement 1 ALONE is sufficient, but statement 2 alone is not sufficient to answer the question.
(B) Statement 2 ALONE is sufficient, but statement 1 alone is not sufficient to answer the question.
(C) BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER
statement ALONE is sufficient.
(D) EACH statement ALONE is sufficient to answer the question asked.
(E) Statements 1 and 2 together are NOT sufficient to answer the question asked.
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Charities account for 18% of research
Government funding accounted for 32% of all
funding, and private corporations provided
research funding. Government funding is the
£850,000 this year. There are only three
second largest source of funds for research.
sources of funding.
Q25 How much funding did the research department receive this year?
(A) Statement 1 ALONE is sufficient, but statement 2 alone is not sufficient to answer the question.
(B) Statement 2 ALONE is sufficient, but statement 1 alone is not sufficient to answer the question.
(C) BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER
statement ALONE is sufficient.
(D) EACH statement ALONE is sufficient to answer the question asked.
(E) Statements 1 and 2 together are NOT sufficient to answer the question asked.
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Product A costs £51 to produce. Product A has a gross profit margin of 20%.
Note: A gross profit of £12.75 is made on every sale of product A.
Q26 How much is product A sold for?
(A) Statement 1 ALONE is sufficient, but statement 2 alone is not sufficient to answer the question.
(B) Statement 2 ALONE is sufficient, but statement 1 alone is not sufficient to answer the question.
(C) BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER
statement ALONE is sufficient.
(D) EACH statement ALONE is sufficient to answer the question asked.
(E) Statements 1 and 2 together are NOT sufficient to answer the question asked.
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Two thirds of all emails are legitimate emails On average, 24 emails are received per day
from the contact list.12.5% of all emails received during the week. On average, 11 emails are
are advertisements. 15% of emails are received per day during the weekend.
legitimate emails from senders not listed on the
contact list. The remainder are phishing emails.
Q27 What is the probability that any given email will be a phishing email?
(A) Statement 1 ALONE is sufficient, but statement 2 alone is not sufficient to answer the question.
(B) Statement 2 ALONE is sufficient, but statement 1 alone is not sufficient to answer the question.
(C) BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER
statement ALONE is sufficient.
(D) EACH statement ALONE is sufficient to answer the question asked.
(E) Statements 1 and 2 together are NOT sufficient to answer the question asked.
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The investor purchased £5,671.00 worth of An ounce of platinum and an ounce of silver
platinum and £1,215.21 worth of silver. cost £782.03 and £10.68, respectively, at the
time of purchase.
Note: An investor purchases gold, silver and platinum at a ratio of 4:3:7 in (£).
Q28 How much gold did the investor purchase in ounces?
(A) Statement 1 ALONE is sufficient, but statement 2 alone is not sufficient to answer the question.
(B) Statement 2 ALONE is sufficient, but statement 1 alone is not sufficient to answer the question.
(C) BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER
statement ALONE is sufficient.
(D) EACH statement ALONE is sufficient to answer the question asked.
(E) Statements 1 and 2 together are NOT sufficient to answer the question asked.
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The odds of rolling a 6 are doubled and the On the last 7 rolls, the number 4 came up 5
odds of rolling a 2 are zero. times.
Q29 What are the odds of rolling a 5 on a 6 sided die?
(A) Statement 1 ALONE is sufficient, but statement 2 alone is not sufficient to answer the question.
(B) Statement 2 ALONE is sufficient, but statement 1 alone is not sufficient to answer the question.
(C) BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER
statement ALONE is sufficient.
(D) EACH statement ALONE is sufficient to answer the question asked.
(E) Statements 1 and 2 together are NOT sufficient to answer the question asked.
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Customer services staff spend on average 3.4 Customer service staff talk to between 25-45
hours per day handling phone calls from customers per day on the phone.
customers.
Q30 How much time is spent on the phone on average with each customer?
(A) Statement 1 ALONE is sufficient, but statement 2 alone is not sufficient to answer the question.
(B) Statement 2 ALONE is sufficient, but statement 1 alone is not sufficient to answer the question.
(C) BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER
statement ALONE is sufficient.
(D) EACH statement ALONE is sufficient to answer the question asked.
(E) Statements 1 and 2 together are NOT sufficient to answer the question asked.
-- End of Test --
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