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Why Aptitude
Test?
Author: Sachin
Agaskar.
The Big Picture
 Matching candidates to the job.
 To assess a person’s strengths and weaknesses. An
aptitude test offers greater insight into the candidate’s
potential for success.
 Very accurate picture of a candidate’s potential to be
successful in the position they are pursuing.
 Identifying future development goals and potential of
each candidate
Cubes & Dice
Different Combinations. How can
you make a cube?
Form I
In this case:
1 lies opposite 5;
2 lies opposite 4;
3 lies opposite 6.
Form II
In this case:
1 lies opposite 6;
2 lies opposite 4;
3 lies opposite 5.
Form III
In this case:
1 lies opposite 4;
2 lies opposite 6;
3 lies opposite 5.
Form IV
In this case:
1 lies opposite 4;
2 lies opposite 5;
3 lies opposite 6.
Form V
In this case:
1 lies opposite 3;
2 lies opposite 5;
4 lies opposite 6.
Form VI
In this case:
will be the one of the faces of the
cube and it lies opposite 3;
2 lies opposite 4;
1 lies opposite 5.
Form VII
In this case:
will be the one of the faces of the
cube and it lies opposite 3;
2 lies opposite 4;
1 lies opposite 5.
Form VIII
In this case:
and are two faces of the cube
that lie opposite to each other.
1 lies opposite 3;
2 lies opposite 4
Choose the box that is similar to the box formed
from the given sheet of paper (X).
 Answer: Option C
 Explanation:
 The fig. (X) is similar to the Form VI. So, when a cube is formed
by folding the sheet shown in fig. (X), then is one of the faces of
the cube. However, the cube in fig. (1) has two such faces and
fig. (4) has a face which is completely shaded. So, these two
cubes cannot be formed. Hence, only the cubes in figures (2) and
(3) can be formed.
Counting
Embedded Figures
PURPOSE:
To analyse situations and check for
patterns within the given information.
Practice finding generalizations for
the problems
Fig. (X) is embedded in any of the four alternative
figures. Find the alternative which contains fig. (X).
Answer: d
Explanation:
Water Image/
Mirror Image
Mirror Image: Images are
laterally inverted i.e. left becomes
right in the image.
Water Image: Image gets
inverted.
Choose the alternative which most closely
resembles the mirror-image of the given
combination.
 A
Answer : D
Choose the alternative which is closely resembles the
mirror image of the given combination.
 Answer: Option B Answer: Option B
Answer: B
Choose the correct water image of the
given figure (X) from amongst the four
alternatives.
Answer : D
Choose the alternative which is closely resembles
the water-image of the given combination.
Answer: B
Grouping of
Identical Figures
In each of the following questions, group the
given figures into three classes using each
figure only once.
A.1,2,5; 3,7,8; 4,6,9 B.1,7,2; 3,9,6; 4,5,8
C.2,3,8; 4,6,9; 1,5,7 D.5,6,9; 3,4,1; 2,7,8
Answer:
1, 2, 5 are figures that have patterns formed from
four lines curved in a concave direction.
3, 7, 8 are figures that have patterns formed from
four lines curved in a convex direction.
4, 6, 9 are figures that have patterns formed from
these straight lines.
Answer: Option A.
In each of the following questions, group the
given figures into three classes using each
figure only once.
A.1,2,4; 3,5,6; 7,8,9 B.1,7,8; 3,5,6; 2,4,9
C.1,3,4; 2,8,9; 5,6,7 D.1,7,8; 2,3,6; 4,5,9
Answer:
1, 7, 8 are all undivided geometrical figures.
3, 5, 6 are geometrical figures divided into two parts.
2, 4, 9 are geometrical figures divided into four parts.
Answer: Option B.
HCF: Highest
Common Factor
&
LCM: Least Common
Multiple
LCM: Least Common Multiple
 Factorization Method: 40, 36 & 126
Answer
2 : 3 occurrences
3 : 2 occurrence
5 : one occurrence
7 : one occurrence
So LCM = 2 x 2 x 2 x 3 x 3 x 5 x 7 =
2520
Common Division Method :
Find the LCM of 84,90 and 120
Find the HCF of 18, 24 and 36.
Factorization method
 Factors of 18: 1, 2, 3, 6, 9, 18
 Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
 Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
 1, 2, 3 and 6 are common factors for 18, 24,
and 36. The greatest common factor (HCF) is
6.
HCF by Continuous Division method.
Profit & Loss.
Information
 Cost Price:
 The price, at which an article is purchased, is called
its cost price, abbreviated as C.P.
 Selling Price:
 The price, at which an article is sold, is called
its selling prices, abbreviated as S.P.
 Profit or Gain:
 If S.P. is greater than C.P., the seller is said to have
a profit or gain.
 Loss:
 If S.P. is less than C.P., the seller is said to have
incurred a loss.
 IMPORTANT FORMULAE
 Gain = (S.P.) - (C.P.)
 Loss = (C.P.) - (S.P.)
 Loss or gain is always reckoned on C.P.
Contd.
Gain Percentage: (Gain %)
Gain % =
Gain x 100
C.P.
Loss Percentage: (Loss %)
Loss % =
Loss x 100
C.P.
The cost price of 20 articles is the same as the selling price
of x articles. If the profit is 25%, then the value of x is:
 A: 15
 B: 16
 C: 18
 D: 25
 Answer : Option B
Explanation
 Let C.P. of each article be Re. 1 C.P. of x articles =
Rs. x.
 S.P. of x articles = Rs. 20.
 Profit = Rs. (20 - x).
.
. .
20 - x
x 100 = 25
x
2000 - 100x = 25x
125x = 2000
x = 16.
Simple Interest
 Principal:
 The money borrowed or lent out for a certain period is
called the principal or the sum.
 Interest:
 Extra money paid for using other's money is
called interest.
 Simple Interest (S.I.):
 If the interest on a sum borrowed for certain period is
reckoned uniformly, then it is called simple interest.
 Let Principal = P, Rate = R% per annum (p.a.) and
Time = T years. Then
Contd.. Thus
Simple
Interest =
P x R x T
100
From the above formula we can derive at the following:
Principal = 100*S.I./R*T
Rate= 100*S.I./ P*T
Time = 100*S.I./P*R
A sum of money at simple interest amounts to Rs.
815 in 3 years and to Rs. 854 in 4 years. The sum
is:
 A: 650 B: 690 C: 698 D: 700
 Answer: Option C
 Explanation:
S.I. for 1 year = Rs. (854 - 815) = Rs. 39.
S.I. for 3 years = Rs.(39 x 3) = Rs. 117.
Principal = Rs. (815 - 117) = Rs. 698.
Compound Interest
Formula
 A= Amount
 P= Principal
 R = Rate of return (%)
 N= No of years.
The compound interest on Rs. 30,000 at 7% per annum is
Rs. 4347. The period (in years) is:
 A = 2
 B = 2.5
 C = 3
 D = 4
 Answer = A
Statement &
Assumption.
Directions to solve
 In each question below is given a statement
followed by two assumptions numbered I and
II. You have to consider the statement and the
following assumptions and decide which of
the assumptions is implicit in the statement.
Statement: "You are hereby appointed as a programmer with a
probation period of one year and your performance will be reviewed
at the end of the period for confirmation." - A line in an appointment
letter.
 Assumptions:
 The performance of an individual generally is
not known at the time of appointment offer.
 Generally an individual tries to prove his worth
in the probation period.
 Only assumption I is implicit
 Only assumption II is implicit
 Either I or II is implicit
 Neither I nor II is implicit
 Both I and II are implicit
 Answer: Option E
 The performance of the individual has to be
tested over a span of time as the statement
mentions. So, I is implicit. The statement
mentions that the individual's worth shall be
reviewed (during probation period) before
confirmation. So, II is also implicit.
It is desirable to put the child in
school at the age of 5 or so.
 Assumptions:
 At that age the child reaches appropriate level
of development and is ready to learn.
 The schools do not admit children after six
years of age.
 Only assumption I is implicit
 Only assumption II is implicit
 Either I or II is implicit
 Neither I nor II is implicit
 Both I and II are implicit
 Answer: Option A
 Explanation:
 Since the statement talks of putting the child in
school at the age of 5, it means that the child is
mentally prepared for the same at this age. So, I is
implicit. But nothing about admission after 6 years of
age is mentioned in the statement. So, II is not
implicit.
Statement and
Conclusion
Directions to solve
 In each question below is given a statement
followed by two conclusions numbered I and
II.
 You have to assume everything in the
statement to be true, then consider the two
conclusions together and decide which of
them logically follows beyond a reasonable
doubt from the information given in the
statement.
Statement: The serious accident in which a person was run
down by a car yesterday had again focused attention on the
most unsatisfactory state of roads.
 Conclusions:
 The accident that occurred was fatal.
 Several accidents have so far taken place because of
unsatisfactory state of roads.
 Only conclusion I follows
 Only conclusion II follows
 Either I or II follows
 Neither I nor II follows
 Both I and II follow
 Explanation:
 Since the accident has caused concern, it must be fatal.
So, I follows. The use of the word 'again' in the statement
justifies the fact mentioned in II. So, II also follows.
Course Of Action
Directions to solve
 In each question below is given a statement
followed by two courses of action numbered I
and II.
 You have to assume everything in the statement
to be true and on the basis of the information
given in the statement, decide which of the
suggested courses of action logically follow(s)
for pursuing.
Statement: A large number of people in ward X of the city
are diagnosed to be suffering from a fatal malaria type.
 Courses of Action:
 The city municipal authority should take
immediate steps to carry out extensive
fumigation in ward X.
 The people in the area should be advised to
take steps to avoid mosquito bites.
 Only I follows
 Only II follows
 Either I or II follows
 Neither I nor II follows
 Neither I nor II follows
 Answer: Option E
 Explanation:
 Clearly, prevention from mosquitoes and
elimination of mosquitoes are two ways to
prevent malaria. So, both the courses follow.
Verification of Truth
In India a widow can marry her brother-in-law
although a man cannot marry the sister of his
dead wife
Always Never
Often Sometimes
 Answer: Option D
 Explanation:
 As there is no such tradition hence this will happen
sometimes.
A song always has
A. Word B. Chorus C. Musician D. Cymbal
Answer : A
Explanation:
Others are optional.
Colloquial and
Idiomatic
Comprehension
Colloquial
 (of language) used in ordinary or familiar
conversation; not formal or literary. Or
everyday language,
synonyms:
informal, conversational, everyday,
casual, non-literary
Idioms
Coding-decoding,
Analogy, Number Series,
Letter Series, Puzzles,
Inserting Missing
characters, classification
Coding-decoding
Question: How is 'No' coded in the code language ?
Statements:
'Ne Pa Sic Lo' means 'But No None And' and 'Pa Lo Le Ne'
means 'If None And But'.
'Le Se Ne Sic' means 'If No None Will' and 'Le Pi Se Be'
means 'Not None If All'.
Explanation:
In the two statements given in I, the common words are 'But', 'None',
'And' and the
common code words are 'Ne', 'Pa', ,'Lo'. So, 'Ne', 'Pa' and 'Lo' are
codes for 'But', 'None' and 'And'.
Thus, in the first statement, 'Sic' is the code for 'No'.
Analogy:
Select a suitable figure from the Answer Figures
that would replace the question mark (?).
Answer: Option D
Explanation:
The smaller element gets enlarged. The larger element reduces in
size; gets vertically inverted; moves inside the other element and gets
attached to its upper end.
Number Series:
 Look at this series: 7, 10, 8, 11, 9, 12, ... What
number should come next?
 7 10 12 13
 Explanation:
 This is a simple alternating addition and
subtraction series. In the first pattern, 3 is
added; in the second, 2 is subtracted.
Letter Series: In these series, you will be looking at both
the letter pattern and the number pattern. Fill the blank in the
middle of the series or end of the series.
 SCD, TEF, UGH, ____, WKL
 CMN
 UJI
 VIJ
 IJT
 Answer: Option C
 Explanation:
 There are two alphabetical series here. The first
series is with the first letters only: STUVW. The
second series involves the remaining letters: CD, EF,
GH, IJ, KL.
Puzzles
Ans : 6
Looking at the diagram in rows, the central circle equals half the
sum of the numbers in the other circles to the left and right of the
center.
Inserting Missing Characters:
L10 K15
I15 K8
Answer: Option D
By,
Sachin
Agaskar

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Why aptitude test

  • 2. The Big Picture  Matching candidates to the job.  To assess a person’s strengths and weaknesses. An aptitude test offers greater insight into the candidate’s potential for success.  Very accurate picture of a candidate’s potential to be successful in the position they are pursuing.  Identifying future development goals and potential of each candidate
  • 4. Different Combinations. How can you make a cube? Form I In this case: 1 lies opposite 5; 2 lies opposite 4; 3 lies opposite 6. Form II In this case: 1 lies opposite 6; 2 lies opposite 4; 3 lies opposite 5.
  • 5. Form III In this case: 1 lies opposite 4; 2 lies opposite 6; 3 lies opposite 5. Form IV In this case: 1 lies opposite 4; 2 lies opposite 5; 3 lies opposite 6. Form V In this case: 1 lies opposite 3; 2 lies opposite 5; 4 lies opposite 6.
  • 6. Form VI In this case: will be the one of the faces of the cube and it lies opposite 3; 2 lies opposite 4; 1 lies opposite 5. Form VII In this case: will be the one of the faces of the cube and it lies opposite 3; 2 lies opposite 4; 1 lies opposite 5. Form VIII In this case: and are two faces of the cube that lie opposite to each other. 1 lies opposite 3; 2 lies opposite 4
  • 7. Choose the box that is similar to the box formed from the given sheet of paper (X).  Answer: Option C  Explanation:  The fig. (X) is similar to the Form VI. So, when a cube is formed by folding the sheet shown in fig. (X), then is one of the faces of the cube. However, the cube in fig. (1) has two such faces and fig. (4) has a face which is completely shaded. So, these two cubes cannot be formed. Hence, only the cubes in figures (2) and (3) can be formed.
  • 8. Counting Embedded Figures PURPOSE: To analyse situations and check for patterns within the given information. Practice finding generalizations for the problems
  • 9. Fig. (X) is embedded in any of the four alternative figures. Find the alternative which contains fig. (X).
  • 11. Water Image/ Mirror Image Mirror Image: Images are laterally inverted i.e. left becomes right in the image. Water Image: Image gets inverted.
  • 12. Choose the alternative which most closely resembles the mirror-image of the given combination.  A Answer : D
  • 13. Choose the alternative which is closely resembles the mirror image of the given combination.  Answer: Option B Answer: Option B Answer: B
  • 14. Choose the correct water image of the given figure (X) from amongst the four alternatives. Answer : D
  • 15. Choose the alternative which is closely resembles the water-image of the given combination. Answer: B
  • 17. In each of the following questions, group the given figures into three classes using each figure only once. A.1,2,5; 3,7,8; 4,6,9 B.1,7,2; 3,9,6; 4,5,8 C.2,3,8; 4,6,9; 1,5,7 D.5,6,9; 3,4,1; 2,7,8
  • 18. Answer: 1, 2, 5 are figures that have patterns formed from four lines curved in a concave direction. 3, 7, 8 are figures that have patterns formed from four lines curved in a convex direction. 4, 6, 9 are figures that have patterns formed from these straight lines. Answer: Option A.
  • 19. In each of the following questions, group the given figures into three classes using each figure only once. A.1,2,4; 3,5,6; 7,8,9 B.1,7,8; 3,5,6; 2,4,9 C.1,3,4; 2,8,9; 5,6,7 D.1,7,8; 2,3,6; 4,5,9
  • 20. Answer: 1, 7, 8 are all undivided geometrical figures. 3, 5, 6 are geometrical figures divided into two parts. 2, 4, 9 are geometrical figures divided into four parts. Answer: Option B.
  • 21. HCF: Highest Common Factor & LCM: Least Common Multiple
  • 22. LCM: Least Common Multiple  Factorization Method: 40, 36 & 126
  • 23. Answer 2 : 3 occurrences 3 : 2 occurrence 5 : one occurrence 7 : one occurrence So LCM = 2 x 2 x 2 x 3 x 3 x 5 x 7 = 2520
  • 24. Common Division Method : Find the LCM of 84,90 and 120
  • 25. Find the HCF of 18, 24 and 36. Factorization method  Factors of 18: 1, 2, 3, 6, 9, 18  Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24  Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36  1, 2, 3 and 6 are common factors for 18, 24, and 36. The greatest common factor (HCF) is 6.
  • 26. HCF by Continuous Division method.
  • 28. Information  Cost Price:  The price, at which an article is purchased, is called its cost price, abbreviated as C.P.  Selling Price:  The price, at which an article is sold, is called its selling prices, abbreviated as S.P.  Profit or Gain:  If S.P. is greater than C.P., the seller is said to have a profit or gain.  Loss:  If S.P. is less than C.P., the seller is said to have incurred a loss.  IMPORTANT FORMULAE  Gain = (S.P.) - (C.P.)  Loss = (C.P.) - (S.P.)  Loss or gain is always reckoned on C.P.
  • 29. Contd. Gain Percentage: (Gain %) Gain % = Gain x 100 C.P. Loss Percentage: (Loss %) Loss % = Loss x 100 C.P.
  • 30. The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is:  A: 15  B: 16  C: 18  D: 25  Answer : Option B
  • 31. Explanation  Let C.P. of each article be Re. 1 C.P. of x articles = Rs. x.  S.P. of x articles = Rs. 20.  Profit = Rs. (20 - x). . . . 20 - x x 100 = 25 x 2000 - 100x = 25x 125x = 2000 x = 16.
  • 33.  Principal:  The money borrowed or lent out for a certain period is called the principal or the sum.  Interest:  Extra money paid for using other's money is called interest.  Simple Interest (S.I.):  If the interest on a sum borrowed for certain period is reckoned uniformly, then it is called simple interest.  Let Principal = P, Rate = R% per annum (p.a.) and Time = T years. Then
  • 34. Contd.. Thus Simple Interest = P x R x T 100 From the above formula we can derive at the following: Principal = 100*S.I./R*T Rate= 100*S.I./ P*T Time = 100*S.I./P*R
  • 35. A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is:  A: 650 B: 690 C: 698 D: 700  Answer: Option C  Explanation: S.I. for 1 year = Rs. (854 - 815) = Rs. 39. S.I. for 3 years = Rs.(39 x 3) = Rs. 117. Principal = Rs. (815 - 117) = Rs. 698.
  • 37. Formula  A= Amount  P= Principal  R = Rate of return (%)  N= No of years.
  • 38. The compound interest on Rs. 30,000 at 7% per annum is Rs. 4347. The period (in years) is:  A = 2  B = 2.5  C = 3  D = 4  Answer = A
  • 39.
  • 41. Directions to solve  In each question below is given a statement followed by two assumptions numbered I and II. You have to consider the statement and the following assumptions and decide which of the assumptions is implicit in the statement.
  • 42. Statement: "You are hereby appointed as a programmer with a probation period of one year and your performance will be reviewed at the end of the period for confirmation." - A line in an appointment letter.  Assumptions:  The performance of an individual generally is not known at the time of appointment offer.  Generally an individual tries to prove his worth in the probation period.
  • 43.  Only assumption I is implicit  Only assumption II is implicit  Either I or II is implicit  Neither I nor II is implicit  Both I and II are implicit  Answer: Option E  The performance of the individual has to be tested over a span of time as the statement mentions. So, I is implicit. The statement mentions that the individual's worth shall be reviewed (during probation period) before confirmation. So, II is also implicit.
  • 44. It is desirable to put the child in school at the age of 5 or so.  Assumptions:  At that age the child reaches appropriate level of development and is ready to learn.  The schools do not admit children after six years of age.
  • 45.  Only assumption I is implicit  Only assumption II is implicit  Either I or II is implicit  Neither I nor II is implicit  Both I and II are implicit  Answer: Option A  Explanation:  Since the statement talks of putting the child in school at the age of 5, it means that the child is mentally prepared for the same at this age. So, I is implicit. But nothing about admission after 6 years of age is mentioned in the statement. So, II is not implicit.
  • 47. Directions to solve  In each question below is given a statement followed by two conclusions numbered I and II.  You have to assume everything in the statement to be true, then consider the two conclusions together and decide which of them logically follows beyond a reasonable doubt from the information given in the statement.
  • 48. Statement: The serious accident in which a person was run down by a car yesterday had again focused attention on the most unsatisfactory state of roads.  Conclusions:  The accident that occurred was fatal.  Several accidents have so far taken place because of unsatisfactory state of roads.  Only conclusion I follows  Only conclusion II follows  Either I or II follows  Neither I nor II follows  Both I and II follow  Explanation:  Since the accident has caused concern, it must be fatal. So, I follows. The use of the word 'again' in the statement justifies the fact mentioned in II. So, II also follows.
  • 50. Directions to solve  In each question below is given a statement followed by two courses of action numbered I and II.  You have to assume everything in the statement to be true and on the basis of the information given in the statement, decide which of the suggested courses of action logically follow(s) for pursuing.
  • 51. Statement: A large number of people in ward X of the city are diagnosed to be suffering from a fatal malaria type.  Courses of Action:  The city municipal authority should take immediate steps to carry out extensive fumigation in ward X.  The people in the area should be advised to take steps to avoid mosquito bites.
  • 52.  Only I follows  Only II follows  Either I or II follows  Neither I nor II follows  Neither I nor II follows  Answer: Option E  Explanation:  Clearly, prevention from mosquitoes and elimination of mosquitoes are two ways to prevent malaria. So, both the courses follow.
  • 54. In India a widow can marry her brother-in-law although a man cannot marry the sister of his dead wife Always Never Often Sometimes  Answer: Option D  Explanation:  As there is no such tradition hence this will happen sometimes.
  • 55. A song always has A. Word B. Chorus C. Musician D. Cymbal Answer : A Explanation: Others are optional.
  • 57. Colloquial  (of language) used in ordinary or familiar conversation; not formal or literary. Or everyday language, synonyms: informal, conversational, everyday, casual, non-literary
  • 58.
  • 60.
  • 61. Coding-decoding, Analogy, Number Series, Letter Series, Puzzles, Inserting Missing characters, classification
  • 62. Coding-decoding Question: How is 'No' coded in the code language ? Statements: 'Ne Pa Sic Lo' means 'But No None And' and 'Pa Lo Le Ne' means 'If None And But'. 'Le Se Ne Sic' means 'If No None Will' and 'Le Pi Se Be' means 'Not None If All'. Explanation: In the two statements given in I, the common words are 'But', 'None', 'And' and the common code words are 'Ne', 'Pa', ,'Lo'. So, 'Ne', 'Pa' and 'Lo' are codes for 'But', 'None' and 'And'. Thus, in the first statement, 'Sic' is the code for 'No'.
  • 63. Analogy: Select a suitable figure from the Answer Figures that would replace the question mark (?). Answer: Option D Explanation: The smaller element gets enlarged. The larger element reduces in size; gets vertically inverted; moves inside the other element and gets attached to its upper end.
  • 64. Number Series:  Look at this series: 7, 10, 8, 11, 9, 12, ... What number should come next?  7 10 12 13  Explanation:  This is a simple alternating addition and subtraction series. In the first pattern, 3 is added; in the second, 2 is subtracted.
  • 65. Letter Series: In these series, you will be looking at both the letter pattern and the number pattern. Fill the blank in the middle of the series or end of the series.  SCD, TEF, UGH, ____, WKL  CMN  UJI  VIJ  IJT  Answer: Option C  Explanation:  There are two alphabetical series here. The first series is with the first letters only: STUVW. The second series involves the remaining letters: CD, EF, GH, IJ, KL.
  • 66. Puzzles Ans : 6 Looking at the diagram in rows, the central circle equals half the sum of the numbers in the other circles to the left and right of the center.