Transcript answer - Young Einstein Learning Center

Abstract Reasoning
Young Einstein Learning Center
College Entrance Test Review Simulated Exam
COMPLETING THE
SERIES
1
A
B
C
D
E
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.
ANSWER: D
2
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
3
A
B
C
D
E
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
4
A
B
C
D
E
Each box contains 8 straight lines and a circle. Only answer C contains 8
straight lines and a circle.
ANSWER: C
5
A
B
C
D
E
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
6
A
B
C
D
E
Triangle pattern: Triangle Triangle None Triangle… The next one should
have a Triangle.
All images have V.
ANSWER: D
7
2
3
4
1
A
B
C
D
E
Number of black circles: 1, 2, 3, 4… so the next one in the pattern should
have 5.
ANSWER: A
8
A
B
C
D
E
Shapes are rotating COUNTERCLOCKWISE
Answer should have a square at the upper right corner to continue the
counterclockwise movement.
ANSWER: B
9
A
B
C
D
E
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
10
4
3
8
A
2
6
B
1
4
C
D
2
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
11
f
g
e
h
A.A
C. J
E. L
d
i
c
?
B. B
D. K
2 interspersed sequences:
First pattern F E D C: decreasing by one
Second pattern: G H I: increasing by one
 answer should follow this pattern, so..
ANSWER: C
12
y
e
A. S
C. R
E. L
w
g
u
i
?
B. T
D. K
2 interspersed sequences again.
First one decrementing by 2, second incrementing by 2.
Answer should follow first pattern.
ANSWER: A
13
g
?
A. F
C. C
d
i
B. E
D. H
j
d
k
l
E. D
Take out the d's and you get a simple alphabetical sequence!
ANSWER: D
d
14
b
c
A. L
C. N
e
g
B. M
D. O
k
?
q
s
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…
ANSWER: B
15
1
8
A. 5
8
2
7
1
2
B. 6
8
13 ?
35
C. 4
35
D. 11
35
Alternating numbers are added.
1/8 + ½ = ___ (answer)
2/7 + 13/35 = 23/35
ANSWER: A
16
-5
A. 3
C. 4
3
-2
1
10
B. -3
D. -4
-5 x -2 = 10
3 x 1 = __
ANSWER: A
17
1
3
A. 223
C. 243
9
27
81
B. 253
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
18
1
5
A. 465
C. 365
17
53
161
B. 485
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
19
1
5
A. 105
C. 81
14
30
55
B. 95
D. 91
Perfect squares are added to each number to get the next one:
1+4 = 5
5+9 = 14
14+16 = 30
30+25 = 55
55+ (next perfect square is 36)= ____
ANSWER: D
SPATIAL PROBLEMS
20
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?
A.M
B. N
C. R
D. P
ANSWER: B
21If you continue folding along the dotted line, which image
would result?
A
B
C
D
E
ANSWER: E
22 Identify the figure when folded:
A
B
C
D
ANSWER: A
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
ANSWER: A
25 Find out the alternative figure which contains figure
(X) as its part.
X
1
2
3
4
A. 1
B. 2
C. 3
D. 4
ANSWER: D
26 Find out the alternative figure which contains
figure (X) as its part.
X
1
2
3
4
A. 1
B. 2
C. 3
D. 4
ANSWER: A
27 Find out the alternative figure which contains figure
(X) as its part.
A. 1
B. 2
C. 3
D. 4
ANSWER: A
28
Find out the alternative figure which contains
figure (X) as its part.
A. 1
B. 2
C. 3
D. 4
ANSWER: C
29
Select the alternative which represents three
out of the five alternative figures which when
fitted into each other would form a complete
square.
A. 1, 4, 5
C. 2, 4, 5
B. 1, 2, 3
D. 2, 3, 4
ANSWER: C
30
Select the alternative which represents three
out of the five alternative figures which when
fitted into each other would form a complete
square.
A. 1, 2, 3
C. 1, 3, 5
B. 1, 3, 4
D. 3, 4, 5
ANSWER: C
31
Choose the alternative which closely
resembles the water-image of the given
combination.
ANSWER: D
32
Choose the alternative which closely
resembles the water-image of the given
combination.
ANSWER: B
33
Find out from the four alternatives how the
pattern (X) would appear when the
transparent sheet is folded at the dotted line.
(X)
A
B
C
D
ANSWER: D
34
Find out from the four alternatives how the
pattern (X) would appear when the
transparent sheet is folded at the dotted line.
(X)
A
B
C
D
ANSWER: B
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.
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:
35
A. Left View
C. Right View
B.Top View
D. Bottom View
ANSWER: A
36
A. Left View
C. Right View
B.Top View
D. Bottom View
ANSWER: B
37
A. Left View
C. Right View
B.Top View
D. Bottom View
ANSWER: C
38
A. Left View
C. Right View
B.Top View
D. Bottom View
ANSWER: D
LOGICAL REASONING
39
Based on the 2 previous statements (statement i
and ii), shade the letter of the only
CORRECT conclusion.
I. All hamburgers are meals
II. Some cows are hamburgers
Conclusion:
A. All meals are cows
B. At least some meals are cows
C. No cows are meals
D. None of the meals are cows
M
H
C
ANSWER: B
40
Based on the 2 previous statements (statement i and ii), shade the letter of
the only INCORRECT conclusion.
I. All cities have houses
II. 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
H
Ci
C
ANSWER: A
41
Based on the 2 previous statements (statement i and ii), shade the letter of the only
CORRECT conclusion.
I. Some cars are four wheelers
II. All cars are three wheelers
Conclusion:
A. No three wheelers are four wheelers
B. All four wheelers are three wheelers
C. At least some three wheelers are four
wheelers
D. No valid conclusion is possible
4
C
3
ANSWER: C
42In 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.
B.
C.
D.
E.
First
Second
Third
Fourth
Fifth
Bucephalus
Copenhagen
Black Beauty
Hill Royal
Trigger
ANSWER: B
43
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?
NAME:
James
Josh
Jezebel
Jamelia
Janine
Jasbeet
Jason
A.
B.
C.
D.
E.
TOY PREFERENCES:
Wombat Panda
Gorilla
Panda
Donkey Dog
Panda
Donkey Kitten
Panda
Donkey Dog
Wombat Gorilla Donkey
Panda
Dog
Wombat Gorilla Dog
Panda
Donkey
Wombat
Dog
Kitten
Kitten
Rat
Dog
Kitten
Rat
Rat
Kitten
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
A.
B.
C.
D.
E.
R.Robin
Mercedes
Model T.
Bugatti
Debbie
Kimi
Michael
Jensen
Rubens
ANSWER: B
Prius
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?
A.
B.
C.
D.
E.
Only Jensen qualify
Jensen doesn’t qualify
L ewis and Mika both qualify
Jensen qualifies
No one qualifies
ANSWER: B
46
An old treasure map has the following instructions: Stand next to
the black rock and face West. Walk 20 yards and then turn 90
degrees clockwise. Walk another 10 yards and then turn 45
degrees anticlockwise. Walk another 15 yards, reverse your
direction and walk 5 yards back. Turn 135 degrees clockwise
and walk another 10 yards. In which direction are you now
facing?
A.
B.
C.
D.
E.
North
South
East
West
South East
Ignore the distances (these are red
herrings) , the direction you face is all that
matters!
W, N, NW, SE, W
ANSWER: D
47
Athos, Porthos and Aramis live in three adjoining houses.
Aramis has a black cat called d'Artagnan, Porthos has a white
dog whereas Athos has a red herring. Porthos has a neighbor
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.
B.
C.
D.
E.
Athos
Porthos
Aramis
D’Artagnan
None of the above
Porthos, white dog, blue door
Athos, red herring, red door
Aramis, black cat, green door
ANSWER: A
48
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?
A.
Mr Bumpen and Mrs Exhaust
B.
Mrs Exhaust and Mr Parker
C.
Mr Parker and Mrs Speed
D.
Mrs Speed and Mrs Exhaust
E.
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.
B.
C.
D.
E.
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
50
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?
A.
B.
C.
D.
E.
2
3
4
5
6
Once you have taken two socks from the drawer
(the possible combinations are BB, PP or BP),
the third sock you remove must give you a pair of either
brown or pink.
By the way, you didn't get the job. 
ANSWER: B