and
minutes?
12 In 7 years’ time the combined age of my sister and her three
children will be 92. What will it be in 4 years’ time?
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Specific aptitude tests
13 In a survey on the High Street on a Saturday afternoon, 5 of
16
women questioned had bought just cosmetics, 5 had bought just
8
clothing, while 115 women had just browsed and bought
nothing. How many women had just bought cosmetics and how
many had just bought clothing?
14 The average of three numbers is 19. The average of two of these
numbers is 24. What is the third number?
15 Tins of carrots cost 4 pence (»0.04) more if bought individually
than if bought in packs of 12. If a pack of 12 costs »5.76, what is
the cost of seven tins bought individually?
16 A batsman is out for 26 runs, which raises his batting average for
the season from 15 to 16. How many runs would he have had to
have scored to raise his average to 20?
17 A greengrocer ordered 4500 items of fruit consisting of apples,
oranges and plums in the ratio of 2 : 3 : 4, respectively. How many
of each item did he order?
18 If I drive 210 miles, how long will the journey take if I drive at an
average speed of 20 m.p.h. for 120 miles and an average speed of
30 m.p.h. for 90 miles, and have a 60 minute stop for
refreshments mid-way through the journey?
19 If five men can build a house in 21 days, how long will it take
seven men to build the house, assuming all men work at the same
rate?
20 At a recent small town election for mayor, a total of 972 votes
were cast for the four candidates, the winner exceeding his
opponents by 52, 78 and 102 votes, respectively. How many votes
were cast for each candidate?
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The Complete Book of Intelligence Tests
Test 2.14
Advanced numerical aptitude test
This test brings together a variety of different types of questions
designed to test your powers of calculation and computation and logical
reasoning.
A time limit of 60 minutes is allowed for completion of the 15
questions.
The use of a calculator is permitted in this test in respect of
questions 6, 7, 9, 11, 13 and 14 only, but written notes are permitted
throughout.
1
3
4
5
11
9
7
16
13
7
10
5
6
9
21
17
11
?
21
13
16
What number should replace the question mark?
2 A statue is being carved by a sculptor. The original piece of
marble weighs 250 kg. In the first week 35% is cut away, in the
second week 20% of the remainder is cut away and in the third
week 25% is chiselled away and polished to produce the finished
statue. What is the weight of the final statue?
3 10, 11, 9, 12, 8, 13, 7, 14, ?, ?
What are the next two numbers in the above sequence?
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Specific aptitude tests
4 783 : 59
395 : 32
579 : 44
666 : ?
5 Three coins are tossed in the air at the same time. What are the
chances that at least two of the coins will fall tails up?
6 A train travelling at a speed of 75 m.p.h. enters a tunnel that is
2.5 miles long. The length of the train is 0.25 miles. How long
does it take for all of the train to pass through the tunnel, from
the moment the front enters to the moment the rear emerges?
7
13
17
6
10
8
3
19
6
23
?
15
5
What number should replace the question mark?
8 10, 11, 14, 23, ?, 131
What number should replace the question mark?
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The Complete Book of Intelligence Tests
9
8
3
14
18
7
784
9
486
9
?
5
540
What number should replace the question mark?
10
7
8
4
19
3
14
5
22
2
7
?
27
12 29 27
?
What two numbers should replace the question marks?
11 I have collected 91 apples, which I wish to put into bags for
handing out to some of my neighbours. All bags must contain
the same number of apples and I wish to use as few bags as
possible. How many neighbours received a bag of apples and how
many