Logical Reasoning Test

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Logical Reasoning Test - 8

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Question 1
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In a class, Raman's rank was 16^th from the top and 29^th from the bottom. Ranks were given to the students who passed the examination. If 6 of the students did not write the exam and 5 of the students failed, then how many students were there in the class?

A
54

B
45

C
46

D
55

Solution

Let the total number of students be 'x'.
Number of students who passed = 15 + 28 + 1 = 44
Number of students who failed was 5 and that of those who did not write the exam was 6.
Therefore, total number of students , x = 44 + 5 + 6 = 55
Question 2
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Directions: Study the information and answer the following question.

In a certain code language, 'economics is not money' is written as 'ka Ia ho ga', 'demand and supply economics' is written as 'mo ta pa ka', 'money makes only part' is written as 'zi Ia ne ki' and 'demand makes supply economics' is written as 'zi mo ka ta'.

What is the possible code for 'demand only more' in the given code language?

A
xi ne mo

B
mo zi ne

C
ki ne mo

D
mo zi ki

Solution

economics is not money ka Ia ho ga ... (i)
demand and supply economics mo ta pa ka ... (ii)
money makes only part zi la ne ki ... (iii)
demand makes supply economics zi mo ka ta ... (iv)
From (ii) and (iv), demand/supply mo/ta
From (i), (iii) and (iv), only/part ki/ne
Code of 'more' is any code which is not used in the codes.
So, as per the options, only option 1 is possible.
Hence, option 1 is the answer.
Question 3
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Directions: Some symbols have been given different meanings. Read them properly and answer the questions with accurate options that follow.
means >
- means =
= means <
& means +
< means
> means -
+ means

A
2 < 4 < 5 - 6 + 3 < 2

B
2 & 4 < 5 = 6 < 3 < 2

C
2 > 4 > 5 = 6 + 2 < 2

D
2 < 4 & 5 = 6 & 3 > 2

Solution

2 & 4 < 5 = 6 < 3 < 2
2 + 4 × 5 < 6 × 3 × 2
22 < 36
Question 4
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How many 1s are there in the following sequence which are immediately followed and immediately preceded by an even digit?

4 1 6 1 3 1 2 1 3 4 2 1 5 8 1 2 7 8 9 3 1 6 2 1 2 2

A
Two

B
Three

C
Four

D
Five

Solution

Given sequence: 41 6 1 3 1 2 1 3 4 2 1 5 8 1 2 7 8 9 3 1 6 2 1 2 2
There are three 1s which are immediately followed and immediately preceded by an even digit as shown in the figure:
Question 5
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Sachin started his journey on a motor bike towards east, and after driving 10 km, he took a right turn and again travelled 10 km. He again took a right turn and travelled 5 km, and then again took a right turn and travelled 4 km. At that point he rested for a while and moved towards east for next 13 km. In the end he took a left turn and travelled 6 km. How far was he from the starting point?

A
13 km

B
15 km

C
18 km

D
21 km

Solution

Distance between the starting point and the final point = OA + AG = 10 + 8 = 18 km
Question 6
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Directions: In of the following item, find the number that will replace the question mark (?) in the figure given below.

A
172

B
550

C
600

D
234

Solution

In each case, on moving in anti-clockwise direction, we get

And,

Similarly,
Question 7
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Directions: In the following diagram, the triangle represents children, the circle represents rural population, the rectangle represents school-going population and the square represents boys.

What does number '4' denote?

A
School-going boys

B
Children who are boys

C
Non-rural children

D
Non-rural school-going boys and children

Solution

Number '4' is in the square, rectangle and triangle. Thus, it represents children, school-going population and boys.
Hence, option 4 is correct.
Question 8
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Directions For Questions

Directions: Study the following information and answer the questions given below it.
A blacksmith has five iron articles A, B, C, D and E, each having a different weight.
(i) A weighs twice as much as B.
(ii) B weighs four and a half times as much as C.
(iii) C weighs half as much as D.
(iv) D weighs half as much as E.
(v) E weighs less than A, but more than C.

...view full instructions

Which of the following articles is the heaviest in weight?

A
A

B
B

C
C

D
D

Solution

Let weight of E = 4x unit
Weight of D = 2x unit
Weight of C = x unit
Weight of B = x unit
Weight of A = 9x unit
Arrange the weight in increasing order as given:
C < D < E < B < A
A is the heaviest in weight.

Question 9

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If the letters of the word PANDEMONIUM are arranged in alphabetical order, then how many letters will remain in the same position?

0

1

2

3 Solution

Position	1	2	3	4	5	6	7	8	9	10	11
Word	P	A	N	D	E	M	O	N	I	U	M
Alphabetical Order	A	D	E	I	M	M	N	N	O	P	U

Only two letters, M and N, retain their original positions.

Question 10
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Directions: Read the following information and answer the given question.

'C $ D' means 'C is the mother-in-law of D'.
'C * D' means 'C is the sister of D'.
'C ? D' means 'C is the wife of D'.
'C < D' means 'C is the father of D'.

If the expression 'A * W < X $ Y ? Z' holds true, then how is W related to Y?

A
Grandfather

B
Grandfather-in-law

C
Uncle

D
Husband

Solution

So, W is the grandfather-in-law of Y.
Question 11
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Directions For Questions

Directions: In the following question, two rows are given and to find out the resultant of a particular row, you need to follow the rules given below. Give answer according to the question asked.

Rules:
(1) If a two-digit odd number is followed by a two-digit odd number, they are to be added.
(2) If a two-digit even number is followed by a two-digit odd number, which is a perfect square, the even number is to be subtracted from the odd number.
(3) If a three-digit number is followed by a two-digit number, the first number is to be divided by the second number.
(4) If a prime number is followed by an even number, the two are to be added.
(5) If an even number is followed by another even number, the two are to be multiplied.

...view full instructions

If 'X' is the resultant of the first row, find the sum of the squares of the resultants of the two rows.

28 8 56

19 X 37

A
3350

B
3616

C
3140

D
3250

Solution

First row:
The first number in the first row is 28 (even) and it is followed by 8 (even).
Using rule 5:
28 x 8 = 224 (resultant - a three-digit number)
Now, the first number is 224 (a three-digit number) and the second number is 56.
Using rule 3:
224/56 = 4
So, resultant of the first row = 4
Second row:
The first number is 19 (a prime number) and the second number is 4 (even).
Using rule 4:
19 + 4 = 23
Now, the first number is 23 (odd) and the second number is 37 (odd).
Using rule 1:
23 + 37 = 60
So, resultant of the second row = 60
Therefore, sum of the squares of the resultants of both the rows = 4² + 60² = 16 + 3600 = 3616
Question 12
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Directions For Questions

Directions: Study the following information to answer the questions given below it.
An electronic device, when fed with numbers, rearranges them in a particular order following certain rules. The following is a step-by-step process of rearrangements for a given input of numbers:
Input : 85 16 36 04 19 97 63 09
Step I : 97 85 16 36 04 19 63 09
Step II : 97 85 63 16 36 04 19 09
Step III : 97 85 63 36 16 04 19 09
Step IV : 97 85 63 36 19 16 04 09
Step V : 97 85 63 36 19 16 09 04
(Step V is the last step.)
Now, answer the following questions based on the rules followed in the above process:

...view full instructions

Which of the following will be step III for the given input?

Input : 09 25 16 30 32 19 17 06

A
32 25 09 16 30 19 17 06

B
32 30 25 09 16 19 17 06

C
32 30 09 25 16 19 17 06

D
32 09 25 16 19 17 06 30

Solution

The given illustration shows the pattern:
In every step a number is arranged in descending order.

Input: 09 25 16 30 32 19 17 06
Step I: 32 09 25 16 30 19 17 06
Step II: 32 30 09 25 16 19 17 06
Step III: 32 30 25 09 16 19 17 06
Question 13
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Directions: Find the missing term in the following series.

?, 97, 167, 257, 367, 497, 647

A
47

B
75

C
85

D
87

Solution

The pattern is the addition of 50, 70, 90, 110, 130, 150.... to the series 47, 97, 167, 257, 367, 497, 647.
Therefore, the missing number is 47.
Question 14
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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
(a)

B
(b)

C
(c)

D
(d)

Solution

In figure (X), one of the dots lies in the region common to the circle and the rectangle only, and the other dot lies in the region common to the circle, the square and the triangle only. Only figure (d) consists of both types of regions.

Question 15

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Directions For Questions

Directions: In the question below is given a word followed by four combinations of digits and symbols numbered (1), (2), (3) and (4). You have to find out which of the combinations correctly represents the word based on the following coding system and the conditions that follow and mark the number of that combination as your answer. If none of the combinations correctly represents the word, mark (5) i.e. 'None of these', as your answer.

Letter

Digit/Symbol Code

Conditions:
(i) If the first letter is a vowel and the last letter is a consonant, both are to be coded as '&'.
(ii) If the first letter is a consonant and the last letter is a vowel, both are to be coded as '='.
(iii) If the first and last letters are consonants, both are to be coded as the code for the last letter.

...view full instructions

ELEPHANT

#%#16798

=%#16798

T%#1679T

&%#1679&

Solution

The first letter is a vowel and the last letter is a consonant, so condition (i) applies. The code should start as well as end with '&'. Option 4 satisfies it.

Question 16
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Directions: In the question given below, there are four question figures marked (A), (B), (C) and (D), followed by four other answer figures marked (1), (2), (3) and (4). Select a figure from amongst the answer figures which will continue the same series as established by the four question figures.

A
(1)

B
(2)

C
(3)

D
(4)

Solution

At every step, dot moves one and a half side clockwise and the cross moves one and a half side anticlockwise.
Question 17
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Which of the following answer figures completes the figure matrix?

A

B

C

D

Solution

The figure in third column of each row comprises of parts which are not common to the first two columns.
Question 18
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Directions: Out of the following figures, three are similar in a certain way. One figure is not like the other three. Find out the figure that does not belong to the group.

A
(a)

B
(b)

C
(c)

D
(d)

Solution

In all the figures, except figure (b), the semi-circlesplaced on the opposite sides of the figure are aligned (or open) in the same direction.
Question 19
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Directions: The figure (x) shown below is followed by four alternative figures (a), (b), (c) and (d) such that one of them is embedded in the figure (x). Choose the alternative figure which is embedded in the figure (x).

A
(a)

B
(b)

C
(c)

D
(d)

Solution
Question 20
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Directions: Choose from the alternatives, the box that will be formed when the figure X is folded.

Answer figures:

A
(B) and (C) only

B
(A), (C) and (D) only

C
(B) and (D) only

D
(A) and (D) only

Solution

Face bearing black dot lies opposite to black face. So, both black faces cannot be adjacent the dot. Box (B) is ruled out. The other three boxes (A), (C) and (D) can be formed by folding the figure X.
Question 21
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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

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.
Question 22
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Directions: The second figure of the problem figures bears a certain relationship to the first figure. Similarly, one of the figures in the answer figures bears the same relationship to the third problem figure. You have to select the figure from the set of answer figures which would replace the sign of question mark (?).

A
1

B
2

C
3

D
4

Solution

In the first and second shape, one triangle and 4 squares are related to 1 square and 3(4-1) triangles.
Similar logic from shape C to D:
One pentagon and 6 hexagon would be related to 1 hexagon and 5(6-1) pentagon.
Question 23
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How many squares are there in the given figure?

A
30

B
36

C
40

D
44

Solution

In the figure ABDC (4 × 4),
Number of squares on each side is equal, which is 4.
Number of squares in ABDC =
Similarly, number of squares in the figure EFHG (2 × 2) =
Number of squares in the figure KIJL (2 × 2) =
Number of squares outside the figure = 4
Total squares = 30 + 5 + 5 + 4 = 44
Question 24
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Directions: In the following question, a part of the figure is missing. Find out from the given options (A, B, C and D), the right figure to fit in the missing figure.

A
(A)

B
(B)

C
(C)

D
(D)

Solution

Option (3) is correct.
Question 25
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Directions: In the following question, you are given a combination of alphabets and/or numbers followed by four alternatives. Choose the alternative which most closely resembles the water-image of the given combination.

ab45CD67

A

B

C

D

Solution

Correct Answer: option(2)