Logical Reasoning Test

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Logical Reasoning Test - 8

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Question 1

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Directions: Study the following information and answer the given question.

In a certain code language, messages are coded in the following way:

Message	Coding
prepare for your tests	xn tp zo wl
smart plan for speed	tn lm zo kt
speed your studies well	sd jk tn xn
plan well amazing results	ds lu jk lm

What can be the code for 'tests your smart' in the given code language?

wl lm kt

zr kt ko

wl xn kt

kt zr wl

ko wl xn

Solution

From the table, we can see that the code for 'smart' is 'kt', and that for 'your' is 'xn'. The code for 'tests' is either 'tp' or 'wl'.
Therefore, the possible code for 'tests your smart' can be 'wl xn kt' or 'tp xn kt'.
So, the correct option is (3).

Question 2
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X and Y start moving towards each other from two points 200 m apart. After walking 60 m, Y turns left, goes 20 m, turns right and goes 40 m. He then turns right again and comes back onto the road on which he had started walking. If X and Y walk with the same speed, then what is the distance between them now?

A
20 m

B
30 m

C
40 m

D
50 m

Solution

According to the directions given in the question, the following diagram is obtained:

X has walked the same distance as Y has, which is 60 m + 20 m + 40 m + 20 m = 140 m.
Along a straight line, Y has walked 100 m and X has walked 140 m, so X and Y are 40 m apart.
Question 3
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6 persons - F, J, N, Q, R and S - are travelling in a car. N is the paternal grandmother of Q, who is the mother of F. J is the son-in-law of S, who is married to R, who is the maternal grandmother of F.

How many males are there in the car?

A
2

B
3

C
4

D
Either 2 or 3

Solution

According to the given information, the following diagram is obtained:

Since the gender of F is not mentioned in the given information, there can be either 2 or 3 males in the car.

Question 4

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Directions: The following table shows some letters with their codes. Study the table carefully and answer the question after considering the conditions.

Conditions::
(1) If the first letter of a word is a vowel and the last is a consonant, then their codes are to be interchanged.
(2) If the first letter of a word is a consonant and the last is a vowel, then they are to be coded as the code of a consonant.

AUXZW

> ~ / _ <

~ < / _ >

< > / ~ _

< > / _ ~

Solution

A is coded as >.
U is coded as < .
X is coded as /.
Z is coded as _ .
W is coded as ~.

On applying condition (1), codes for A and W are interchanged.

Hence, AUXZW is coded as ~ < / _ >.

Question 5

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Directions: There are four friends A, B, C and D. One of them is a student of Biology and plays Football and Basketball. A and B study Chemistry. A plays Table tennisTennis. Both the Chemistry students play Volleyball. D is the student of Physics.
One Chemistry student also plays Cricket. Physics students play Volleyball and Carom. All the friends play two games and study one subject.

Who does not play Volleyball?

A

B

C

D

Solution

There are four friends A, B, C and D. A and B study Chemistry. All the friends play two games and study one subject. A plays Table Tennis. Both the Chemistry students play Volleyball. D is the student of Physics. One of them is a student of Biology and plays Football and Basketball.

Person	Subject	Games
A	Chemistry	Table Tennis, Volleyball
B	Chemistry	Volleyball
C	Biology	Football, Basketball
D	Physics

Physics students play Volleyball and Carom. One Chemistry student also plays Cricket.

Persons	Subject	Game
A	Chemistry	Volleyball, Table tennis
B	Chemistry	Volleyball, Cricket
C	Biology	Football, Basketball
D	Physics	Volleyball, Carom

Question 6
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Directions: Study the following digit, letter and symbol sequence and answer the question given below it.

D E L H I S 4 T R A N α M 6 β O P X Z γ 3 V W Φ K θ

If the middle sixteen characters are written in the reverse order, then what will be 4^th to the right of the 12^th character from left?

A
T

B
R

C
A

D
N

E
None of these

Solution

There are 26 characters in total.
After rearrangement:
D E L H I 3 γ Z X P O β 6 M α N A R T 4 S V W Φ K θ
The 12^th character from left is β.
So, the 4^th to the right of β is N.
Question 7
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Directions For Questions

Directions: In this question, the symbols @, &, ^, ? and £ are used with the following meanings:

'M @ N' means 'M is not greater than N'.
'M & N' means 'M is not smaller than N'.
'M ^ N' means 'M is neither greater than nor equal to N'.
'M ? N' means 'M is neither smaller than nor equal to N'.
'M £ N' means 'M is neither greater than nor smaller than N'.

Assuming the given statements to be true, find out which of the conclusions I, II and III is/are definitely true and give your answer accordingly.

...view full instructions

Statements:
D @ E, F ^ D, G @ F
Conclusions:
I. E & F
II. D £ G
III. F ^ E

A
Only I is true.

B
Only II is true.

C
Only III is true.

D
All are true.

E
None is true.

Solution

From the given statements, following table is obtained:

Given statements are:
D @ E, F ^ D, G @ F,which means D ≤ E, F < D and G ≤F.
Combined statement: E ≥ D> F ≥G
Now, conclusions are:

E & F means E ≥F, not true
D £ G means D = G, not true
F ^ Emeans F
Therefore, only conclusion III is true.
Question 8
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Directions: Study the sets of numbers given below and answer the question.

2295, 6421, 8216, 4763, 3082

Which of the following numbers will be obtained if the second digit of the lowest number is added to the third digit of the highest number after subtracting four from each number?

A
5

B
4

C
3

D
2

E
None of these

Solution

2295 - 4 = 2291
6421 - 4 = 6417
8216 - 4 = 8212
4763 - 4 = 4759
3082 - 4 = 3078
Lowest number = 2291
Largest number = 8212
Required result = 2 + 1 = 3
Question 9
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Directions: Find the missing term from the given alternatives after studying the relationship between the other terms.

A
X

B
Y

C
Z

D
S

Solution

Here, positions of letters in the English alphabet are considered.
O = 15
Y = 25
So, 15 × 25 = 375
M = 13
S = 19
So, 13 × 19 = 247
F = 6
H = 8
So, 6 × 8 = 48
L = 12
Missing letter = 288 ÷ 12 = 24 = X
Question 10
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Directions: Study the diagram given below carefully and answer the following question.

Which of the following does 'h' represent?

A
Indian people, who like music and Indo-western dresses

B
Indian and Asian people, who like music and Indo-western dresses

C
Indian and Asian people, who like music and Indian dresses

D
People who like music and Indian dresses

E
People who like Indian dresses only

Solution

'h' represents Indian and Asian people, who like music and Indian dresses.
Question 11
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Directions: In this question, the second figure in the problem figures bears a certain relationship to the first figure. Similarly, one of the figures in the answer figures (a, b, c and d) bears the same relationship to the third figure. You have to select the figure from the set of answer figures which would replace the question mark (?).

A
(b)

B
(c)

C
(a)

D
(d)

Solution

In going from problem figure 1 to problem figure 2, the element on the right moves inside the element on the left and the combined entity is flipped vertically. Going by the same logic, answer figure (b) is correct.
Question 12
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Directions: In the following question, select the figure, which satisfies the same conditions of placement of the dots as in figure (X).

A
(1)

B
(2)

C
(3)

D
(4)

Solution

In figure (X), one of the dots lies in the square alone, another dot lies in the region common to the square and the triangle only, and the third dot lies in the region common to the circle and the triangle. Only, figure (3) consists of all the three types of regions.
Question 13
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A piece of paper is folded and punched as shown below in the question figures. From the given answer figures, indicate how it will appear when opened.

A

B

C

D

Solution
Question 14
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Directions: In the following question, a figure is given, part of which is missing. Choose the missing part from the alternatives, which will complete the figure.

A

B

C

D

Solution

Option 1 completes the question figure.
Question 15
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Directions: Select one figure from the answer figures which will continue the same series as given in the problem figures.

A
(a)

B
(b)

C
(c)

D
(d)

Solution

Moving from Box 1 to 2, the lines move anti-clockwise along one side of the box and interchange their positions.
Symbols also rotate 90 degrees anti-clockwise.
The symbol on the outside (outer symbol) changes position with the inner, the latter vanishes and a new outer symbol appears.
Question 16
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How many triangles are there in the following figure?

A
36

B
40

C
44

D
48

Solution

Diagonal AC forms four triangles, one with each of the vertical lines EF, GH, KJ and CB.
Diagonal EC forms three triangles with the vertical lines GP, KI and CQ.
Diagonal GC forms two triangles with the vertical lines KS and CR.
Diagonal KC forms one triangle with the vertical line CT.
Hence, along the diagonal AC ten triangles are formed on one side of it and another ten on the other side.
Similarly for the diagonal DB there are 20 triangles.
There are another eight triangles AGB, AGD, BGC, CGD, NGK, KGI, IGE and EGN.
In all, there are 48 triangles.
Question 17
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All faces of a cube are coloured. It is then divided into smaller cubes with length of each side equal to one quarter of the larger cube. How many of the smaller cubes will have only one face coloured?

A
60

B
32

C
24

D
16

Solution

Clearly, the original (coloured) cube is divided into 64 smaller cubes as shown in the figure.
The four central cubes on each face of the larger cube have only one side coloured.
Since there are six faces, so total number of such cubes = 4 6 = 24

Hence, option (3) is correct.
Question 18
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Directions: In the following question, a figure marked 'X' is followed by four figures (a), (b), (c) and (d) which show the possible water images of figure 'X'. Choose one out of these four figures that shows the correct water image of figure 'X'.

A
(a)

B
(b)

C
(c)

D
(d)

Solution

The image will flip vertically.
Question 19
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Directions: From the given answer figures, select the one in which the question figure is hidden/embedded.

A

B

C

D

Solution

Option (3) is correct.
Question 20
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Which of the following alternatives closely resembles the mirror image of the given image, when the mirror is held on the line XY?

A

B

C

D

E

Solution

As a mirror image is the lateral inversion of the real image so, LHS (Left Hand Side) of the real image becomes RHS (Right Hand Side) in the mirror image and, RHS of the real image becomes LHS in the mirror image.