he first square has 25 black squares, the second has 16, the third 9, the
ourth 4 and so the 5th will have one square (reducing sequence of the
quare 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.
Ma
a
À
y
a AA AS
(
4
A B C D E
The first square has 25 black squares, the second has 16, the third 9, the
urth 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.
| ANSWER: D
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..
A
WW
A B c D E
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..
ANSWER: C
Wt >>
ADEE
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
Wt >>
00050
B C D
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.
ANSWER: A
Each box contains 8 straight lines and a circle. Only answer C contains 8
straight lines and a circle.
Each box contains 8 straight lines and a circle. Only answer C contains 8
straight lines and a circle.
ANSWER: C
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
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
ANSWER: D
Triangle pattern: Triangle Triangle None Triangle... The next one should
have a Triangle.
All images have V.
... ave x.o Xx" y
V XA mAx meV on
e... | CE] Age
V 0
e exe
Aon
D
Triangle pattern: Triangle Triangle None Triangle... The next one should
have a Triangle.
All images have V.
ANSWER: D
2
si 4
E ON .0e Be O) pon
u = >: XXE: ox O Bods
llo om| ¡mE ol le me |“ee
mon . ne .0e x = o
mu:lo+rel|*nmm||e5ce
CRI LE oj BEO jon
B C D E
Number of black circles: 1, 2, 3, 4... so the next one in the pattern should
have 5.
neu =om|[fooe][uum o fo om
En: XM ml lo x
1leos BE ol |.
0
a
O
a
e
x
.
o
an Om 0 m ® .0e xn o
meex||o x oe Eu .0..
o0. mo ..o o...
Number of black circles: 1, 2, 3, 4... so the next one in the pattern should
have 5.
ANSWER: A
Answer should have a square at the upper right corner to continue the
counterclockwise movement.
ña
a
\
1
on a a AS
(
4
00
“u |e elle elle a
A B C
Shapes are rotating COUNTERCLOCKWISE
Answer should have a square at the upper right corner to continue the
counterclockwise movement.
ANSWER: B
A
i Number of squares: 3, 4, 5, 6... the next one should have 7.
i The set of 3 squares should be on top, and the other set should be at the
| bottom.
A
| Number of squares: 3, 4, 5, 6... the next one should have 7.
| The set of 3 squares should be on top, and the other set should be at the
| bottom.
| ANSWER: A
ña
a
\
1
on a a AS
(
4
o
E
o
D
ih
A B
Number of black circles are decreasing: 4, 3, 2, 1.
Next one should have 0.
Gray circles are decreasing by 2: 8, 6, 4, 2.
Next one should have 0.
ha
a
\
SES
on a a AS
(
4
o
4
jis
El]
A
C D E
Number of black circles are decreasing: 4, 3, 2, 1.
Next one should have 0.
Gray circles are decreasing by 2: 8, 6, 4, 2.
Next one should have 0.
ANSWER: B
OOOOOOO ?
A.A B.B
C.J D.K
EL
2 interspersed sequences:
First pattern F E D C: decreasing by one
Second pattern: G H I: increasing by one
OOOOOO® :
| A.A B.B
| C.J D. K
| E.L
A
i 2 interspersed sequences:
| First pattern F E D C: decreasing by one
i
| Second pattern: G H I: increasing by one
| U answer should follow this pattern, so..
ANSWER:
2 interspersed sequences again.
First one decrementing by 2, second incrementing by 2.
i 2 interspersed sequences again.
| First one decrementing by 2, second incrementing by 2.
| Answer should follow first pattern.
ANSWER: A
13
DO « u 1
AF BE
C.C DH ED
Take out the d's and you get a simple alphabetical sequence!
DO « u 1
AF BE
C.C DH ED
Take out the d's and you get a simple alphabetical sequence!
ANSWER: D
C.N D. O E, P
Prime numbers:
B=2, C=3, E=5, G=7, K=11,___, Q=17, S=19
Next one should be 13. Answer is...
A.L B.M
C.N D. O E, P
Prime numbers:
B=2, C=3, E=5, G=7, K=11,___, Q=17, S=19
Each number is multiplied by 3 every time to get the next number in the
pattern, starts with number 1:
1x3 =3
3x3= 9
9x3= 27
27x3= 81
81x3=
17
13 9 27 81
A.223 B.253
C.243 D.213
Each number is multiplied by 3 every time to get the next number in the
pattern, starts with number 1:
1x3 =3
3x3= 9
9x3= 27
27x3= 81
81x3=
ANSWER: C
1 5 17 53 161
A.465 B. 485
C.365 D.385
Each number is multiplied by 3 then 2 is added every time to get the next
number in the pattern, starts with number 1:
1x3 +2=5
5x3 +2 =17
17x3 +2 =53
53x3 +2 = 161
161x3 = 483+2=
1 5 17 53 161
A.465 B. 485
C.365 D.385
Each number is multiplied by 3 then 2 is added every time to get the next
number in the pattern, starts with number 1:
1x3 +2=5
5x3 +2=17
17x3 +2 =53
53x3 +2 = 161
161x3 = 483+2=
ANSWER: B
1 5 14 30 55
A.105 B.95
C. 81 D. 91
Perfect squares are added to each number to get the next one:
1 5 14 30 55
A.105 B.95
C. 81 D. 91
Perfect squares are added to each number to get the next one:
1+4=5
5+9 = 14
14:16 = 30
30425 = 55
55+ (next perfect square is 36)=___
ANSWER: D
Use the map to answer the question: Officer McKay starts from location ‘O’ and
proceeds as follows: left onto plaza way - heading North, second left -
heading west, second left - heading south, first left - heading east. She
proceeds for one block.What is her location?
Use the map to answer the question: Officer McKay starts from location ‘O’ and
proceeds as follows: left onto plaza way - heading North, second left -
heading west, second left - heading south, first left - heading east. She
proceeds for one block.What is her location?
Kingston Av
E 7
F
A „| CityBank Building B.N
> x= r = C.R
Anglo-American City
Où Company HQ |» À Plaza |Y D.P
=— west — À Plaza st > .
# 5 =
ä Sl axo insurance 3
E Building E
Shakespeare Rd -» 2 2
ER
£
À 2
4 & Y
= 5
City Hall 3 Symmonds St t=
é a
M Y 8 y
Valencia av >
ANSWER: B
2 | If you continue folding along the dotted line, which image
an
PAR PR
2 | If you continue folding along the dotted line, which image
PAR PR
ANSWER: E
22 Identify the figure when folded:
4 yp
ia Pa
A D
ANSWER: A
23 Find the number of triangles in the given figure:
A.8 B.10 c.12 D.14
23 Find the number of triangles in the given figure:
A.8 B.10 c.12 D.14
ANSWER: D
24 Find the minimum number of straight lines required to
make the given figure:
A. 13 B.15 c.17 D. 19
24 Find the minimum number of straight lines required to
make the given figure:
A. 13 B.15 c.17 D. 19
ANSWER: A
25 Find out the alternative figure which contains figure
(X) as its part.
25 Find out the alternative figure which contains figure
(X) as its part.
Fa
I 2 3 4
A.l
B.2
C.3
D. 4
ANSWER: D
26 Find out the alternative figure which contains
figure (X) as its part.
N NON]
h LM
J N/N
x I 4
A.l
B.2
C.3
D. 4
26 Find out the alternative figure which contains
figure (X) as its part.
SN
MN
AN
E
et
ANSWER: A
27 Find out the alternative figure which contains figure
(X) as its part.
A. 1
B.2
C.3
D.4
27 Find out the alternative figure which contains figure
(X) as its part.
SAS
[69] @ @) @) (4)
A.l
B.2
C.3
D. 4
ANSWER: A
28 Find out the alternative figure which contains
figure (X) as its part.
pattern (X) would appear when the
transparent sheet is folded at the dotted line.
(x) A B c D
N
ANSWER: B
N
"Za
\
}
/
{
il
AT
35-38
For the next four numbers, you will
see fictitious constellations of
stars. Some stars are light; others
are dark. All stars are the same
size.
So, when some stars appear to be
large, they are in the foreground
of the constellation; when others
appear to be small, they are in
the background.
Note that further stars might be
hidden behind those that you see.
Look at the example below.
2
eo LEFT = ee
o
® FRONT
The perspective from which you see
the constellation on the left is
assumed to be the view from the
FRONT. If the constellation
would rotate in space or if you
were in a spaceship orbiting it,
you could see it from other
perspectives, relative to the front
view. For instance, you might see
it from the LEFT or from the
RIGHT as indicated here:
o
€ RICHT
* FRONT
Item 1: Front View
A. Left View
B.Top View
C. Right View
D. Bottom View
ee e 2
. . e
e e
e
e . oe
Item 1: Front View Item 1: View
A. Left View C. Right View
B.Top View D. Bottom View
ANSWER: A
e] o
. 3
J
.
e . »
Item 2: Front View Item 2:
A. Left View C.Right View
B.Top View
D. Bottom View
36
e] e
. ° o
> »
e °
e . » >
Item 2: Front View Item 2: View
A. Left View C.Right View
B.Top View D. Bottom View
ANSWER: B
e
e o e e
e ee o, o
e . o.
e o
e o
Item 3: Front View Item 3: View
A. Left View C.Right View
B.Top View D. Bottom View
e
e e e e
e ee o, o
e . on
e o
e o
Item 3: Front View Item 3: View
A. Left View C.Right View
B.Top View D. Bottom View
ANSWER: C
3 3 e
y
e e
e o
Item 4: Front View Item 4:
A. Left View C.Right View
B.Top View D. Bottom View
View
RN 3 . 0 ,
e]
e
e e
e o e
Item 4: Front View Item 4: View
A. Left View C.Right View
B.Top View D. Bottom View
ANSWER: D
1
{
ida
F4
/
Based on the 2 previous statements (statement i
and ii), shade the letter of the only
CORRECT conclusion.
WwW
so
I. All hamburgers are meals
i Il. Some cows are hambur
onclusion:
AtHneats-are-cows—
. At least some meals are cows
Notowsaremeats—
None-ef-the-meals-are-cows-
ES EL A RO
a
\
ai
Based on the 2 previous statements (statement i
and ii), shade the letter of the only
CORRECT conclusion.
w
so
[
a
/
I. All hamburgers are meals
{
ida
i Il. Some cows are hambur
onclusion:
AtHneats-are-cows—
40 Based on the 2 previous statements (statement i and ii), shade the letter of
the only INCORRECT conclusion.
l. All cities have houses
Il. All countries have cities
Conclusion:
A. All houses have countries
B. All countries have houses
C. Not all houses have
countries
D. No valid conclusion is
possible
is
S
¿cana
E
/
II
40 Based on the 2 previous statements (statement i and ii), shade the letter of
the only INCORRECT conclusion.
l. All cities have houses
Il. All countries have cities
Conclusion:
A. All houses have countries
B. All countries have houses
C. Not all houses have
countries
D. No valid conclusion is
possible
ANSWER: A
is
A
Ae
aia
E
/
a
Based on the 2 previous statements (statement i and ii), shade the letter of the only
CORRECT conclusion.
|. Some cars are four wheelers
Il. All cars are three wheelers
Conclusion:
ANe-three-wheeters-are-four-wheelers
B. AlHfourwhoolers-arethreo-whoelors
C. At least some three wheelers are four
wheelers
D ns .
is
A
S
¿cana
E
/
IR
Based on the 2 previous statements (statement i and ii), shade the letter of the only
CORRECT conclusion.
|. Some cars are four wheelers
Il. All cars are three wheelers
Conclusion:
ANe-three-wheeters-are-four-wheelers
B. AlHfourwhoolers-arethreo-whoelors
C. At least some three wheelers are four
wheelers
D ns .
ANSWER: C
42ln a horse race: Hill Royal came in ahead
of Trigger. Hill Royal finished after Black
Beauty. Copenhagen beat Black Beauty
but finished after Bucephalus. Where
did Copenhagen finish?
A. First Bucephalus
B. Second Copenhagen
i Black Beauty
“= Thine Hill Royal
D. Fourth Tigger
E. Fifth
42ln a horse race: Hill Royal came in ahead
of Trigger. Hill Royal finished after Black
Beauty. Copenhagen beat Black Beauty
but finished after Bucephalus. Where
did Copenhagen finish?
A. First Bucephalus
B. Second Copenhagen
i Black Beauty
“= Thine Hill Royal
D. Fourth Tigger
E. Fifth
ANSWER: B
ha
wa
\
7.
A
on a a AS
43
NAME:
Jos! Panda Donkey =
You take seven children to a toy shop to buy each a soft toy. The toy shop
only has one of each type so you ask the children their preferences. You decide to give
each child one of their preferred toys.Which animal will you give Jezebel?
TOY PREFERENCES:
The trick here is to realize that you can ignore the children with
more than four choices.
Josh, Jamelia and Jasbeet all have only two or three choices
and all want a panda, donkey or dog, so they must each get
‘one of these.
Jezebel also wants a panda, donkey or dog, but she would
also accept a kitten, so she must be given this, if each child is
to be allowed a preferred animal.
N
\
L a in a me
A
(
4
O
43
NAME:
Jos! Panda Donkey =
You take seven children to a toy shop to buy each a soft toy. The toy shop
only has one of each type so you ask the children their preferences. You decide to give
each child one of their preferred toys.Which animal will you give Jezebel?
TOY PREFERENCES:
The trick here is to realize that you can ignore the children with
more than four choices.
Josh, Jamelia and Jasbeet all have only two or three choices
and all want a panda, donkey or dog, so they must each get
‘one of these.
Jezebel also wants a panda, donkey or dog, but she would
also accept a kitten, so she must be given this, if each child is
to be allowed a preferred animal.
ANSWER: E
44 Debbie, Kimi and Michael have Ferraris. Michael also has a Reliant Robin.
Jensen has a Mercedes and a Model T. Rubens also has a Mercedes. Debbie also
has a Bugatti Veyron. Rubens has just bought a Toyota Prius. Who has the
fewest cars?
Ferrari R.Robin Mercedes Model T. Bugatti Prius
Debbie
€. Michael x À
_ D. Jensen * *%
E. Rubens À AY
44 Debbie, Kimi and Michael have Ferraris. Michael also has a Reliant Robin.
Jensen has a Mercedes and a Model T. Rubens also has a Mercedes. Debbie also
has a Bugatti Veyron. Rubens has just bought a Toyota Prius. Who has the
fewest cars?
AAN Ferrari R.Robin Mercedes Model T. Bugatti Prius
A. Debbie A Ak
C. Michael A A
D. Jensen xk k
E. Rubens A A
ANSWER: B
45
== Jensen, Lewis and Mika need to be able to run
100m in under 12.5 seconds to qualify for a
championship. Lewis and Mika run faster
than Jensen. Jensen's best time for the 100m
is 13.1 seconds.Which of the following
MUST be true?
Only Jensen qualify
B. Jensen doesn't qualify
C. Lewis and Mika both qualify
D
E,
À
IN
pe
. Jensen qualifies
No one qualifies
45
== Jensen, Lewis and Mika need to be able to run
100m in under 12.5 seconds to qualify for a
championship. Lewis and Mika run faster
than Jensen. Jensen's best time for the 100m
is 13.1 seconds.Which of the following
MUST be true?
Only Jensen qualify
Jensen doesn't qualify
L ewis and Mika both qualify
. Jensen qualifies
No one qualifies
À
IN
mon»>»
ANSWER: B
An old treasure map has the following instructions: Stand next to
the black rock and fac West Walk 20 yards and then t (190 >
degrees clockwise. Walk another 10 yards and then tu (45)
degrees anticlockwise.Walk another 15 ards(feverso <Fevers® your
direction and walk 5 yards back. Turn G5 deg GS depress clockwise
and walk another 10 yards. In which direction are you now
facing?
A. North Ignore the distances (these are red
herrings) , the direction you face is all that
B. South matters!
C. East
W, N, NW, SE, W
D. West
E. South East
An old treasure map has the following instructions: Stand next to
the black rock and fac West Walk 20 yards and then t (190 >
degrees clockwise. Walk another 10 yards and then tu (45)
degrees anticlockwise.Walk another EN ards(Fevers® <Fevers® your
direction and walk 5 yards back. Turn G5 deg GS depress clockwise
and walk another 10 yards. In which direction are you now
facing?
A. North Ignore the distances (these are red
herrings) , the direction you face is all that
B. South matters!
C. East
W, N, NW, SE, W
D. West
E. South East
ANSWER: D
a Athos, Porthos and Aramis live in three adjoining houses.
| 47 Aramis has a black cat called d'Artagnan, Porthos has a white
Vay dog whereas Athos has a red herring. Porthos has a neighbor
EE | with a red door. The owner of a four legged animal has a blue
door. Either a feline or fish owner has a green door.Aramis
and Porthos are not neighbors. Whose door is red?
A. Athos
B. Porthos Porthos, white dog, blue door
C. Aramis Athos, red herring, red door
. Aramis, black cat, green door
D. D’Artagnan
E. None of the above
a Athos, Porthos and Aramis live in three adjoining houses.
| 47 Aramis has a black cat called d'Artagnan, Porthos has a white
Vay dog whereas Athos has a red herring. Porthos has a neighbor
EE | with a red door. The owner of a four legged animal has a blue
door. Either a feline or fish owner has a green door.Aramis
and Porthos are not neighbors. Whose door is red?
A. Athos
B. Porthos Porthos, white dog, blue door
C. Aramis Athos, red herring, red door
. Aramis, black cat, green door
D. D’Artagnan
E. None of the above
ANSWER: A
8 Mrs Krashem, a driving instructor, has to arrange bookings for some of her
il 48 pupils. She has 8 new pupils who wish to book either a morning or
À | afternoon of a particular day. These are 2 hour introductory lessons, so she
N ee | only sees one pupil each morning or afternoon.Ms Banger is only available
Tuesday AM but Mr Bumpem can make any time on a Wednesday. Mrs
Exhaust is free on Tuesdays all day but Mr Hilstart is only free Wednesday
afternoons. Ms Boot is only available Friday AM whereas Miss Bonnet can
only make Saturday PM. Mrs Speed is available all day Fridays whereas Mr
Parker can make any time on a Saturday.Which of the following must both
have MORNING appointments?
dl
Mr Bumpen and Mrs Exhaust
Mrs Exhaust and Mr Parker
Mr Parker and Mrs Speed
Mrs Speed and Mrs Exhaust
mon»>»
Mr Bumpen and Mr Parker
Mrs Krashem, a driving instructor, has to arrange bookings for some of her
pupils. She has 8 new pupils who wish to book either a morning or
afternoon of a particular day. These are 2 hour introductory lessons, so she
only sees one pupil each morning or afternoon. Ms Banger is only available
Tuesday AM but Mr Bumpem can make any time on a Wednesday. Mrs
Exhaust is free on Tuesdays all day but Mr Hilstart is only free Wednesday
afternoons. Ms Boot is only available Friday AM whereas Miss Bonnet can
only make Saturday PM. Mrs Speed is available all day Fridays whereas Mr
Parker can make any time on a Saturday.Which of the following must both
have MORNING appointments?
Mr Bumpen and Mrs Exhaust
Mrs Exhaust and Mr Parker
Mr Parker and Mrs Speed
Mrs Speed and Mrs Exhaust
mon»>»
Mr Bumpen and Mr Parker
ANSWER: E
\
\
49
: How many degrees are there between the
two hands of a clock at 6.30 am?
A. O degrees
5 degrees
10 degrees
15 degrees
monm
30 degrees
Minute hand is at 180 degrees
Hour hand is at 180 + 360/24 degrees
as it has moved half an hour further =
180 +15 degrees.
Therefore difference in angle = 15
degrees
LE
\
49
\ MS How many degrees are there between the
cond two hands of a clock at 6.30 am?
A.
monm
O degrees
5 degrees
10 degrees
15 degrees
30 degrees
Minute hand is at 180 degrees
Hour hand is at 180 + 360/24 degrees
as it has moved half an hour further =
180 +15 degrees.
Therefore difference in angle = 15
degrees
ANSWER: D
It is 4.30 am and your alarm goes off.You crawl sleepily out of bed. You
have a job interview to go to that day and you must leave by 5 am to
catch the train as the interview is being held 150 miles away. Suddenly
all the lights go off. There has been a power failure. It is still pitch dark
outside and you have no other light available. You have 6 brown socks
and 6 pink socks in your drawer, all mixed up and identical in all but
It is 4.30 am and your alarm goes off.You crawl sleepily out of bed. You
have a job interview to go to that day and you must leave by 5 am to
catch the train as the interview is being held 150 miles away. Suddenly
all the lights go off. There has been a power failure. It is still pitch dark
outside and you have no other light available. You have 6 brown socks
and 6 pink socks in your drawer, all mixed up and identical in all but
color. How many socks must you take from the drawer to be sure of
taking a matching pair of the same color?