General Mental Ability Alıştırma Soruları — State PSC Exam — Sayfa 11

Soru 201Soru →

In a family, $A$ is the father-in-law of $B$ , who is the mother of $C$ . $D$ is the brother of $C$ and the son of $E$ . If $A$ has only one child, how is $E$ related to $A$ ?

Cevabı ve açıklamayı göster

Cevap: Son; son

Cevap

Son

Because

B

is the mother of

C

and

D

, and

E

is the father of

D

,

B

and

E

are married as wife and husband.

A

is the father-in-law of

B

, which means

A

is the father of

B

's husband,

E

. Therefore,

E

is the son of

A

.

Adım Adım Çözüm

1

Determine the parental relationship of

C

and

D

B

is the mother of

C

. Since

D

is the brother of

C

,

B

is also the mother of

D

.

D

is given as the son of

E

, so

E

must be the father of

D

, making

E

the husband of

B

.

Since

B

is female (mother) and

D

is their child,

E

must be male (father).

2

Determine the relationship between

A

and

E

A

is the father-in-law of

B

. The father-in-law of a woman is her husband's father. Since

E

is

B

's husband,

A

is

E

's father.

Father-in-law defines the parent of one's spouse.

3

Establish

E

's relation to

A

Since

A

is the father of

E

,

E

is the son of

A

.

Direct lineage relationship from parent to child.

Anahtar Kavram

Blood Relations and Kinship Deduction

Tahmini Süre:1m 0s

Soru 202Soru →

Read the following coded relationship definitions carefully:
- $P \ \text{\&} \ Q$ means ' $P$ is the mother of $Q$ '
- $P \ \# \ Q$ means ' $P$ is the brother of $Q$ '
- $P \ \text{@} \ Q$ means ' $P$ is the daughter of $Q$ '
- $P \ \star \ Q$ means ' $P$ is the father of $Q$ '

If the relationship expression $H \ \text{\&} \ I \ \# \ J \ \text{@} \ K \ \star \ L$ holds true, which of the following statements correctly describes how $L$ is related to $H$ ?

L

is the son of

H

L

is the daughter of

H

L

is either the son or the daughter of

H

L

is the nephew of

H

Cevabı ve açıklamayı göster

Cevap: $L$ is either the son or the daughter of $H$

Cevap

L

is either the son or the daughter of

H

.

By decoding the expression step-by-step:

H

is the mother of

I

,

I

is the brother of

J

, and

J

is the daughter of

K

. This establishes that

H

(female) and

K

(male) are the parents of

I

and

J

. The final part

K \ \star \ L

indicates that

K

is the father of

L

, meaning

L

is also a child of

H

and

K

. However, no symbol defines whether

L

is male or female. Thus,

L

can be either the son or the daughter of

H

.

Adım Adım Çözüm

1

Decode

H \ \text{\&} \ I

and

I \ \# \ J

H

is female (mother of

I

),

I

is male (brother of

J

). Thus,

H

is also the mother of

J

.

Since

I

is the brother of

J

,

I

and

J

share the same parents.

2

Decode

J \ \text{@} \ K

J

is female (daughter of

K

). Combined with Step 1,

H

(mother) and

K

(father) are married.

J

is the daughter of both mother

H

and father

K

.

3

Decode

K \ \star \ L

K

is the father of

L

. Therefore,

L

is the offspring of

H

and

K

.

Since

K

and

H

are married, any child of

K

is also a child of

H

.

4

Evaluate gender of

L

The statement

K \ \star \ L

establishes

K

's gender as male, but does not define

L

's gender.

Being a child of

H

,

L

can be either a male child (son) or female child (daughter).

Anahtar Kavram

Coded Blood Relations with Gender Ambiguity

Tahmini Süre:1m 30s

Soru 203Soru →

In a family of six members— $P, Q, R, S, T,$ and $U$ — $P$ is married to $Q$ , where $P$ is male. $S$ is the brother of $P$ . $R$ is the only son of $S$ , and $T$ is the sister of $R$ . $Q$ is the daughter-in-law of $U$ . How is $T$ related to $P$ ?

Niece

Nephew

Daughter

Sister

Cevabı ve açıklamayı göster

Cevap: Niece

Cevap

Niece

The correct answer is Niece because

S

is the brother of

P

, and

T

is the daughter of

S

(since

T

is the sister of

S

's son

R

). The daughter of one's brother is a niece.

Adım Adım Çözüm

1

Determine the gender and generation of

P

and

S

P

is male and

S

is his brother (same generation, both male).

Establishing the baseline lineage generation.

2

Determine the relationship of

R

and

T

to

S

R

is the son of

S

(male). Since

T

is the sister of

R

,

T

is female and also a child of

S

.

T

and

R

share the same parents, making

T

the daughter of

S

.

3

Establish the relationship between

T

and

P

T

is the daughter of

P

's brother

S

. A brother's daughter is a niece.

Combining sibling relationship with offspring relationship yields niece.

Anahtar Kavram

Identifying Kinship Relationships in Family Trees

Tahmini Süre:1m 0s

Soru 204Soru →

In a certain pattern of letter series analogy, the letter-group

\text{MASTER}

is coded as

\text{IVGHZN}

. Following the same two-step structural logic, which of the following letter-groups will replace the question mark (

?

) in the analogy below?

\text{MASTER} : \text{IVGHZN} :: \text{PRACTICE} : ?

\text{KIZGXRXV}

\text{VXGRZXIK}

\text{FDJUDBSQ}

\text{UWQFWYHJ}

Cevabı ve açıklamayı göster

Cevap: \text{VXGRZXIK}

Cevap

The correct letter-group that completes the analogy is \text{VXGRZXIK}.

The term \text{VXGRZXIK} correctly satisfies both operations governing the analogy: reversing the letter order of \text{PRACTICE} to get \text{ECITCARP}, and replacing each letter with its opposite alphabet partner (

27 - \text{position}

).

Adım Adım Çözüm

1

Analyze the relationship between the first pair, \text{MASTER} and \text{IVGHZN}.

First, reversing the order of letters in \text{MASTER} gives \text{R E T S A M}. Next, replacing each letter with its reverse-alphabet complement (where position

p

becomes

27 - p

) yields:

\text{R}(18) \rightarrow \text{I}(9)

,

\text{E}(5) \rightarrow \text{V}(22)

,

\text{T}(20) \rightarrow \text{G}(7)

,

\text{S}(19) \rightarrow \text{H}(8)

,

\text{A}(1) \rightarrow \text{Z}(26)

, and

\text{M}(13) \rightarrow \text{N}(14)

, resulting in \text{IVGHZN}.

This establishes the complete two-step rule: reverse word order, then convert each letter to its mirror alphabet pair.

2

Apply Step 1 of the rule (reversing the sequence) to the target word \text{PRACTICE}.

Reversing \text{PRACTICE} yields the letter sequence: \text{E C I T C A R P}.

Word reversal must be executed prior to applying positional shifts or letter substitutions.

3

Apply Step 2 of the rule (mirror letter substitution) to \text{E C I T C A R P}.

Converting each letter using

27 - p

:
-

\text{E} (5) \rightarrow 27 - 5 = 22 = \text{V}

-

\text{C} (3) \rightarrow 27 - 3 = 24 = \text{X}

-

\text{I} (9) \rightarrow 27 - 9 = 18 = \text{R}

-

\text{T} (20) \rightarrow 27 - 20 = 7 = \text{G}

-

\text{C} (3) \rightarrow 27 - 3 = 24 = \text{X}

-

\text{A} (1) \rightarrow 27 - 1 = 26 = \text{Z}

-

\text{R} (18) \rightarrow 27 - 18 = 9 = \text{I}

-

\text{P} (16) \rightarrow 27 - 16 = 11 = \text{K}

Combining these yields \text{VXGRZXIK}.

Substituting every reversed character with its exact reverse-alphabet pair completes the logical transformation.

Anahtar Kavram

Multi-step letter analogy involving word reversal and reverse-alphabet complement mapping.

Tahmini Süre:1m 30s

Soru 205Soru →

Based on the family relationships described below, match each person listed in List I with their correct relationship to Vikram listed in List II.

Narrative:
Vikram is the son of Rajesh. Sunita is Rajesh's mother. Ananya is Vikram's sister. Meera is married to Rajesh.

Soldaki öğeye tıklayın, sonra eşleşen sağdaki öğeye tıklayın

Cevabı ve açıklamayı göster

Cevap

Sunita matches with Paternal Grandmother, Ananya matches with Sister, and Meera matches with Mother.

Sunita is the mother of Vikram's father (Paternal Grandmother), Ananya is Vikram's sister (Sister), and Meera is the wife of Vikram's father (Mother).

Adım Adım Çözüm

1

Identify Vikram's relationship to Rajesh

Rajesh is Vikram's father.

Vikram is the son of Rajesh.

2

Determine Sunita's relation to Vikram

Sunita is Vikram's Paternal Grandmother.

Sunita is the mother of Vikram's father, Rajesh.

3

Determine Ananya's relation to Vikram

Ananya is Vikram's Sister.

The narrative directly establishes Ananya as Vikram's sister.

4

Determine Meera's relation to Vikram

Meera is Vikram's Mother.

Meera is married to Vikram's father, Rajesh.

Anahtar Kavram

Direct Kinship Relations in a Two-Generation Family Structure

Soru 206Soru →

In a certain code language, if the word "DESK" is written as "EFTL", how is the word "LAMP" written in that code language?

MBNQ

KZLO

NCOR

MBNP

Cevabı ve açıklamayı göster

Cevap: MBNQ

Cevap

MBNQ

Each letter in the original word is replaced by its immediate next letter in the English alphabet (+1 positional shift). Shifting the letters of LAMP forward by 1 position gives L → M, A → B, M → N, and P → Q, resulting in MBNQ.

Adım Adım Çözüm

1

Analyze the rule used to code DESK into EFTL.

D → E (+1), E → F (+1), S → T (+1), K → L (+1). The pattern is a +1 forward shift for each letter.

Establishing the exact letter transformation rule from the given example.

2

Apply the identified +1 forward shift rule to the target word LAMP.

L → M (+1), A → B (+1), M → N (+1), P → Q (+1).

Executing the rule consistently across all positions in the word LAMP.

Anahtar Kavram

Letter-Shift Coding Rule (+1 Forward Shift)

Soru 207Soru →

In a family of six members— $A, B, C, D, E,$ and $F$ —spanning three generations, there are two married couples. $A$ is the mother-in-law of $C$ , who is married to $D$ . $F$ is the paternal uncle of $E$ , who is the daughter of $C$ . $B$ is the father of $F$ . Based on these relationships, how is $E$ related to $B$ ?

Cevabı ve açıklamayı göster

Cevap: Granddaughter; Grand-daughter; Grand daughter

Cevap

Granddaughter

The relationship is established step-by-step:

C

and

D

are married, making

D

the father of

E

. Since

F

is

E

's paternal uncle,

F

is

D

's brother.

B

is the father of

F

, so

B

is also the father of

D

. As

E

is the daughter of

D

,

E

is the granddaughter of

B

.

Adım Adım Çözüm

1

Determine the direct parentage of

E

.

C

is the mother of

E

, and since

C

is married to

D

,

D

is the father of

E

.

The stem specifies that

E

is the daughter of

C

, and

C

is married to

D

.

2

Establish the relationship between

F

and

D

.

F

is the brother of

D

.

F

is defined as the paternal uncle of

E

, which means

F

is the brother of

E

's father (

D

).

3

Identify the parent of

D

.

B

is the father of

D

.

Since

B

is the father of

F

, and

F

and

D

are brothers,

B

must also be the father of

D

.

4

Deduce the relation between

E

and

B

.

E

is the granddaughter of

B

.

E

is the female child (daughter) of

D

, and

B

is the father of

D

. Thus,

E

is the son's daughter (granddaughter) of

B

.

Anahtar Kavram

Multi-generational blood relation deduction through extended family nodes

Tahmini Süre:2m 0s

Soru 208Soru →

Consider the following coded relationship definitions between two individuals:
- $A \ \tau \ B$ means ' $A$ is the father of $B$ '
- $A \ \sigma \ B$ means ' $A$ is the brother of $B$ '
- $A \ \mu \ B$ means ' $A$ is the mother of $B$ '
- $A \ \delta \ B$ means ' $A$ is the daughter of $B$ '

Based on the expression $U \ \tau \ V \ \sigma \ W \ \mu \ X \ \delta \ Y$ , how is $U$ related to $Y$ ?

Father-in-law

Father

Son-in-law

Brother-in-law

Cevabı ve açıklamayı göster

Cevap: Father-in-law

Cevap

Father-in-law

Breaking down the expression:

U \ \tau \ V

means

U

is the father of

V

.

V \ \sigma \ W

means

V

is the brother of

W

, so

U

is also the father of

W

. Next,

W \ \mu \ X

means

W

is the mother of

X

. Finally,

X \ \delta \ Y

means

X

is the daughter of

Y

. Since

X

is the daughter of mother

W

and parent

Y

,

Y

must be the male parent (father) of

X

, which means

Y

is married to

W

. Since

U

is the father of

W

,

U

is the father of

Y

's wife, making

U

the father-in-law of

Y

. Thus, the correct answer is Father-in-law.

Adım Adım Çözüm

1

Decode the first segment

U \ \tau \ V \ \sigma \ W

U

is a male and the father of

V

.

V

is a male and the brother of

W

. Therefore,

U

is also the father of

W

.

Since

V

and

W

are siblings, they share the same father,

U

.

2

Decode the second segment

W \ \mu \ X \ \delta \ Y

W

is female and the mother of

X

.

X

is female and the daughter of

Y

.

Since

X

is the child of both mother

W

and parent

Y

,

Y

must be the father of

X

and the husband of

W

.

3

Determine the relationship between

U

and

Y

U

is the father of

W

, and

Y

is the husband of

W

. Thus,

U

is the father-in-law of

Y

.

The father of one's spouse is defined as one's father-in-law.

Anahtar Kavram

Coded Blood Relations and Indirect Kinship Deduction

Soru 209Soru →

Based on the family relationships described below, match each person in List I with their correct relationship to $Q$ in List II.

Family Narrative:
In a family of six members— $M, N, O, P, Q,$ and $R$ :
- $M$ is the father of $N$ .
- $O$ is the mother-in-law of $P$ .
- $P$ is the wife of $N$ .
- $Q$ is the daughter of $P$ .
- $R$ is the brother of $M$ .

Soldaki öğeye tıklayın, sonra eşleşen sağdaki öğeye tıklayın

Cevabı ve açıklamayı göster

Cevap

M

matches with Paternal Grandfather,

O

matches with Paternal Grandmother,

P

matches with Mother, and

R

matches with Grand-uncle (Brother of Paternal Grandfather).

Each member's relationship to

Q

is systematically established by building the family tree from

Q

's parents (

N

and

P

) upwards to the paternal grandparents (

M

and

O

) and collaterals (

R

).

Adım Adım Çözüm

1

Determine the direct parentage of

Q

P

is the mother of

Q

, and

N

(the husband of

P

) is the father of

Q

.

Since

Q

is the daughter of

P

,

P

is her mother.

P

is married to

N

, making

N

the father.

2

Trace the paternal grandparent lineage

M

is the paternal grandfather, and

O

is the paternal grandmother of

Q

.

M

is the father of

N

(father's father = paternal grandfather).

O

is the mother-in-law of

P

, meaning

O

is the mother of

N

(father's mother = paternal grandmother).

3

Determine the relation of

R

R

is the grand-uncle (brother of paternal grandfather) of

Q

.

R

is the brother of

M

. Because

M

is the paternal grandfather of

Q

,

R

is the paternal grandfather's brother.

Anahtar Kavram

Multi-generational Blood Relations and Family Tree Analysis

Soru 210Soru →

In a certain code language, the word DISRUPT is written as GSFUHLW. Based on the same logical transformation rule, how is the word PATIENT written in that code language?

GQVLGDK

KDGLVQG

FQULFDJ

WMHRWZS

Cevabı ve açıklamayı göster

Cevap: GQVLGDK

Cevap

The word PATIENT is coded as GQVLGDK.

The correct answer GQVLGDK is formed by taking the word PATIENT, replacing letters at odd positions with their opposite alphabetical letters (

27 - \text{alphabet position}

), advancing letters at even positions by

+3

, and reversing the overall string sequence.

Adım Adım Çözüm

1

Analyze the letter transformations in the example word DISRUPT (7 letters).

Letters at odd positions (1st, 3rd, 5th, 7th) are replaced by their reverse alphabetical counterparts (

A \leftrightarrow Z, B \leftrightarrow Y

, calculated as

27 - \text{position}

). Letters at even positions (2nd, 4th, 6th) are shifted forward by

+3

steps in the alphabet.

Identifying the positional parity rules from the sample word.

2

Transform each letter of DISRUPT individually.

D(1, odd)

\rightarrow

W (27-4=23); I(2, even)

\rightarrow

L (9+3=12); S(3, odd)

\rightarrow

H (27-19=8); R(4, even)

\rightarrow

U (18+3=21); U(5, odd)

\rightarrow

F (27-21=6); P(6, even)

\rightarrow

S (16+3=19); T(7, odd)

\rightarrow

G (27-20=7). Intermediate string: WLHUFSG.

Deriving the intermediate string prior to reversal.

3

Reverse the order of the intermediate string WLHUFSG.

Reversing WLHUFSG yields GSFUHLW, matching the code given in the problem stem.

Confirming the complete multi-step transformation rule.

4

Apply the verified rule to the target word PATIENT.

P(1, odd)

\rightarrow

K (27-16=11); A(2, even)

\rightarrow

D (1+3=4); T(3, odd)

\rightarrow

G (27-20=7); I(4, even)

\rightarrow

L (9+3=12); E(5, odd)

\rightarrow

V (27-5=22); N(6, even)

\rightarrow

Q (14+3=17); T(7, odd)

\rightarrow

G (27-20=7). Intermediate string: KDGLVQG.

Computing transformed letters for all positions in PATIENT.

5

Reverse the intermediate string KDGLVQG.

Reversing KDGLVQG produces the final code GQVLGDK.

Completing the final operation of the coding rule.

Anahtar Kavram

Positional parity-based letter transformation combined with reverse alphabetical indexing and string reversal.

Tahmini Süre:2m 0s

Soru 211Soru →

Determine the missing values to logically complete the given numerical sequence.

Aşağıdaki boşlukları doldurun

In the sequence $3, 8, 18, 38, , 158, $, the first missing term is and the second missing term is .

Cevabı ve açıklamayı göster

Cevap

The first missing term is 78 and the second missing term is 318.

The pattern governing the sequence can be defined recursively as

a_{n+1} = 2a_n + 2

. Following

38

, the term is

(38 \times 2) + 2 = 78

. Following

158

, the term is

(158 \times 2) + 2 = 318

. Alternatively, observing the difference between consecutive terms shows

+5, +10, +20, +40, +80, +160

, yielding

38 + 40 = 78

and

158 + 160 = 318

.

Adım Adım Çözüm

1

Analyze the rule connecting consecutive terms in the sequence

Each term is generated by multiplying the preceding term by

2

and adding

2

:

(3 \times 2) + 2 = 8

,

(8 \times 2) + 2 = 18

, and

(18 \times 2) + 2 = 38

. Alternatively, the differences between successive terms double each step (

+5, +10, +20, \dots

).

Identifying the mathematical operational relationship allows computing unknown terms.

2

Calculate the value for the first blank following

38

(38 \times 2) + 2 = 76 + 2 = 78

(or

38 + 40 = 78

).

Applying the identified rule to

38

yields the first missing term.

3

Verify the calculated value against the given term

158

(78 \times 2) + 2 = 156 + 2 = 158

(or

78 + 80 = 158

).

Ensures consistency across the pattern before proceeding to the final term.

4

Calculate the value for the second blank following

158

(158 \times 2) + 2 = 316 + 2 = 318

(or

158 + 160 = 318

).

Applying the operational rule to

158

yields the second missing term.

Anahtar Kavram

Mixed Arithmetic Series and Double Difference Progression

Tahmini Süre:1m 15s

Soru 212Soru →

Read the following coded relationship definitions carefully:
- $P \div Q$ means ' $P$ is the mother of $Q$ '
- $P + Q$ means ' $P$ is the father of $Q$ '
- $P \times Q$ means ' $P$ is the brother of $Q$ '
- $P - Q$ means ' $P$ is the sister of $Q$ '

Based on the expression $J \div K + L \times M - N + O$ , how is $O$ related to $J$ ?

Great-grandson

Great-granddaughter

Paternal Great-grandmother

Cannot be determined

Cevabı ve açıklamayı göster

Cevap: Cannot be determined

Cevap

Cannot be determined, as the gender of

O

is not specified in the given expression.

Tracing the expression shows that

J

is the mother of

K

,

K

is the father of

N

, and

N

is the father of

O

. This makes

J

the great-grandmother of

O

, which means

O

is the great-grandchild of

J

. Since

O

is the terminal node in

N + O

, no operation defines

O

's gender. Therefore,

O

could be either a great-grandson or a great-granddaughter, making the exact relationship impossible to determine.

Adım Adım Çözüm

1

Decode the maternal and paternal lineage from the first part of the expression

J \div K

implies

J

is the mother of

K

.

K + L

implies

K

is the father of

L

.

Establishing the top two generations of the family lineage.

2

Determine the sibling relationships in the third generation

L \times M - N

indicates that

L

,

M

, and

N

are siblings (children of

K

). Specifically,

N

is a male child of

K

.

Identifying that

N

belongs to the third generation as

K

's son.

3

Analyze the relationship to the fourth generation and test for gender clarity

N + O

shows

N

is the father of

O

. Thus,

O

is the child of

N

, making

O

the great-grandchild of

J

. However, the gender of

O

is unstated.

Evaluating whether

O

's gender can be uniquely determined.

Anahtar Kavram

Gender ambiguity in coded blood relations

Soru 213Soru →

Determine the unknown value $X$ that completes each of the following numerical analogies, and arrange the four items in ascending order based on their value of $X$ :

Öğeleri doğru sıraya koymak için sürükleyin

Cevabı ve açıklamayı göster

Cevap

The correct order from smallest to largest value of

X

is the third item (

X = 18

), followed by the second item (

X = 60

), the first item (

X = 64

), and the fourth item (

X = 125

).

Solving each analogy gives

X = 18

for the third item (

9 \times 2

),

X = 60

for the second item (

6 \times 10

),

X = 64

for the first item (

8^2

), and

X = 125

for the fourth item (

5^3

). Ordering these solved values from lowest to highest produces the sequence: Item 3, Item 2, Item 1, Item 4.

Adım Adım Çözüm

1

Calculate the unknown value

X

for each individual numerical analogy.

For Item 1,

X = 8^2 = 64

. For Item 2,

X = 6 \times 10 = 60

. For Item 3,

X = 9 \times 2 = 18

. For Item 4,

X = 5^3 = 125

.

Identify the relationship established by the first pair in each item and apply it to find

X

.

2

Arrange the resulting

X

values in increasing (ascending) order.

Comparing the values:

18 < 60 < 64 < 125

.

Sorting the values yields the sequence: Item 3 (

18

), Item 2 (

60

), Item 1 (

64

), Item 4 (

125

).

Anahtar Kavram

Numerical Analogy and Order Comparison

Soru 214Soru →

An inspector starts walking from a police station and walks $30\text{ m}$ towards the East. He then turns right and walks $40\text{ m}$ to reach a checkpoint. What is the shortest direct distance between the police station and the checkpoint?

50\text{ m}

70\text{ m}

10\text{ m}

10\sqrt{7}\text{ m}

Cevabı ve açıklamayı göster

Cevap: $50\text{ m}$

Cevap

The shortest direct distance between the police station and the checkpoint is

50\text{ m}

.

The inspector's path consists of

30\text{ m}

East followed by a perpendicular

40\text{ m}

South. The shortest direct path forms the hypotenuse of a right-angled triangle with legs of

30\text{ m}

and

40\text{ m}

. Applying

\sqrt{30^2 + 40^2} = \sqrt{2500}

gives

50\text{ m}

.

Adım Adım Çözüm

1

Determine the path and orientations.

The inspector moves

30\text{ m}

East and then turns right to walk

40\text{ m}

South.

A right turn when traveling East directs movement towards the South.

2

Calculate the shortest straight-line distance using the Pythagorean theorem.

Distance

d = \sqrt{30^2 + 40^2} = \sqrt{900 + 1600} = \sqrt{2500} = 50\text{ m}

.

The East and South movements are perpendicular to each other, forming a right-angled triangle where the direct distance is the hypotenuse.

Anahtar Kavram

Shortest Distance using Pythagorean Theorem

Soru 215Soru →

In a family of seven members— $P, Q, R, S, T, U,$ and $V$ —spanning three generations, there are two married couples. $P$ is the brother-in-law of $R$ , who is the only daughter of $U$ . $S$ is the father of $Q$ and $P$ . $T$ is the maternal grandmother of $V$ , and $Q$ is married to $R$ . If $V$ is a male child of $Q$ and $R$ , how is $V$ related to $U$ ?

Cevabı ve açıklamayı göster

Cevap: Grandson; Maternal grandson; Grand-son; Maternal Grandson

Cevap

Grandson (or Maternal grandson)

Since R is the daughter of U and the mother of V, U is the grandfather of V. Because V is male, V is the grandson (or maternal grandson) of U.

Adım Adım Çözüm

1

Determine the relation between R and Q, and identify their genders.

R is the daughter of U (female). Q is married to R, which means Q is male.

Marriage in standard family tree problems consists of one male and one female.

2

Identify the maternal lineage of V.

V is the child of Q (father) and R (mother), making R the mother of V.

Since T is the maternal grandmother of V, T is the mother of R, and U is the father of R.

3

Determine the relationship between V and U.

U is the maternal grandfather of V, making V the grandson (maternal grandson) of U.

V is the male child of U's daughter R.

Anahtar Kavram

Multi-generational family tree blood relations and maternal lineage deduction.

Soru 216Soru →

Based on the family relationships described below, match each person in Column I with their exact relationship to $S$ in Column II.

Family Narrative:
In a family of seven members— $P, Q, R, S, T, U,$ and $V$ —spanning three generations, there are two married couples.
- $P$ is married to $T$ , and $P$ is the father-in-law of $U$ .
- $U$ is a male member married to $Q$ .
- $R$ is the brother of $Q$ .
- $S$ is the daughter of $Q$ .
- $V$ is the sibling of $S$ , but no direct statement defines the gender of $V$ .

Soldaki öğeye tıklayın, sonra eşleşen sağdaki öğeye tıklayın

Cevabı ve açıklamayı göster

Cevap

The correct pairings are:

P

matches with Maternal Grandfather;

R

matches with Maternal Uncle;

T

matches with Maternal Grandmother;

V

matches with Brother or Sister (Gender undetermined).

Each member is accurately mapped by tracing lineage through

S

's mother

Q

:

P

is the father of

Q

(Maternal Grandfather),

T

is the mother of

Q

(Maternal Grandmother),

R

is the brother of

Q

(Maternal Uncle), and

V

is a sibling of

S

whose gender is not explicitly stated.

Adım Adım Çözüm

1

Determine the parental generation and married couples

Since

U

is a male married to

Q

, and

P

(father-in-law of

U

) is married to

T

,

P

(male) and

T

(female) are the parents of

Q

(female).

U

is male, so

Q

must be female.

P

is

U

's father-in-law, making

P

the father of

Q

and

T

the mother of

Q

.

2

Analyze the relationship of

P

,

T

, and

R

to

S

S

is the daughter of

Q

. Thus,

P

is maternal grandfather,

T

is maternal grandmother, and

R

(brother of

Q

) is maternal uncle to

S

.

Relationships through the mother's side of the family take the maternal prefix.

3

Analyze the relationship of

V

to

S

V

is a sibling of

S

, but gender is unknown.

Without explicit mention or deduction of gender,

V

's specific relation (brother vs sister) cannot be determined.

Anahtar Kavram

Multi-generational blood relation deduction and gender neutrality rules

Tahmini Süre:2m 0s

Soru 217Soru →

In a certain pattern of letter analogy, the letter-group $\text{BASKET}$ is related to $\text{UVDLRC}$ following a specific two-step positional shift and reverse-alphabet transformation rule. Following the exact same logical pattern, which letter-group is related to $\text{PRINCE}$ ?

\text{GENITR}

\text{OMVQBZ}

\text{KIRMXV}

\text{LNEJYA}

Cevabı ve açıklamayı göster

Cevap: $\text{GENITR}$

Cevap

The correct letter-group is

\text{GENITR}

.

The complete pattern involves two steps: first substituting each letter with its reverse alphabetical pair (

A=1 \leftrightarrow Z=26

,

B=2 \leftrightarrow Y=25

, etc.), and second shifting each resulting letter 4 places backward in the alphabet. Applying these steps to

\text{PRINCE}

yields opposite letters

\text{KIRMXV}

, which upon shifting

-4

positions become

\text{GENITR}

.

Adım Adım Çözüm

1

Analyze the rule connecting the first pair

\text{BASKET} \rightarrow \text{UVDLRC}

.

First, map each letter of

\text{BASKET}

to its opposite alphabet letter (

A \leftrightarrow Z, B \leftrightarrow Y

, etc.):

\text{B} \rightarrow \text{Y}

,

\text{A} \rightarrow \text{Z}

,

\text{S} \rightarrow \text{H}

,

\text{K} \rightarrow \text{P}

,

\text{E} \rightarrow \text{V}

,

\text{T} \rightarrow \text{G}

. This gives

\text{YZHPVG}

.

Identify the primary structural transformation step.

2

Determine the positional shift applied to the opposite letters.

Shift each letter in

\text{YZHPVG}

backward by 4 positions in the alphabet:

\text{Y}(25) - 4 = \text{U}(21)

,

\text{Z}(26) - 4 = \text{V}(22)

,

\text{H}(8) - 4 = \text{D}(4)

,

\text{P}(16) - 4 = \text{L}(12)

,

\text{V}(22) - 4 = \text{R}(18)

,

\text{G}(7) - 4 = \text{C}(3)

. This gives

\text{UVDLRC}

.

Establish the secondary positional shift magnitude and direction.

3

Apply Step 1 to the target word

\text{PRINCE}

.

Map each letter of

\text{PRINCE}

to its opposite alphabet pair:

\text{P}(16) \rightarrow \text{K}(11)

,

\text{R}(18) \rightarrow \text{I}(9)

,

\text{I}(9) \rightarrow \text{R}(18)

,

\text{N}(14) \rightarrow \text{M}(13)

,

\text{C}(3) \rightarrow \text{X}(24)

,

\text{E}(5) \rightarrow \text{V}(22)

. This forms

\text{KIRMXV}

.

Execute reverse-alphabet mapping on the target term.

4

Apply Step 2 (backward shift of 4) to

\text{KIRMXV}

.

Shift each letter backward by 4 positions:

\text{K}(11) - 4 = \text{G}(7)

,

\text{I}(9) - 4 = \text{E}(5)

,

\text{R}(18) - 4 = \text{N}(14)

,

\text{M}(13) - 4 = \text{I}(9)

,

\text{X}(24) - 4 = \text{T}(20)

,

\text{V}(22) - 4 = \text{R}(18)

. The final result is

\text{GENITR}

.

Complete the transformation sequence.

Anahtar Kavram

Letter Analogy via Combined Reverse Alphabet Mapping and Positional Shifts

Soru 218Soru →

In the given numerical analogy, the second number is related to the first number following a specific mathematical rule. Which number replaces the question mark (?) to complete the analogy?

7 : 50 :: 9 : ?

82

81

80

63

Cevabı ve açıklamayı göster

Cevap: $82$

Cevap

The number that completes the analogy is

82

.

The relationship in the first pair is established by squaring the first number and adding

1

, since

7^2 + 1 = 49 + 1 = 50

. Following the exact same mathematical rule for the second pair, squaring

9

and adding

1

gives

9^2 + 1 = 81 + 1 = 82

. Therefore,

82

is the correct completing number.

Adım Adım Çözüm

1

Analyze the rule relating the first pair

7 : 50

Observe that

7^2 = 49

, and

49 + 1 = 50

. The pattern is

n : n^2 + 1

.

Identify the multi-step mathematical transformation mapping the input to the output.

2

Apply the identified rule (

n : n^2 + 1

) to the third number

9

Calculate

9^2 + 1 = 81 + 1 = 82

.

Complete the analogy by executing the identical operation on the third term.

Anahtar Kavram

Numerical Analogy with Square and Increment Pattern (

n : n^2 + 1

)

Tahmini Süre:45s

Soru 219Soru →

In a department of $150$ administrative officers, a survey was conducted regarding specialized training in three skills: Cyber Security ( $C$ ), Data Analytics ( $D$ ), and Disaster Management ( $M$ ). The survey revealed the following data:
- $75$ officers are trained in Cyber Security
- $65$ officers are trained in Data Analytics
- $55$ officers are trained in Disaster Management
- $30$ officers are trained in both Cyber Security and Data Analytics
- $25$ officers are trained in both Data Analytics and Disaster Management
- $20$ officers are trained in both Cyber Security and Disaster Management
- $10$ officers are trained in all three areas

Based on this information, which of the following statements are correct?

Geçerli olan tümünü seçin

The number of officers trained only in Cyber Security is

35

.

The number of officers trained in exactly two of these subjects is

55

.

The number of officers who are not trained in any of these three subjects is

20

.

The number of officers trained in at least two subjects is

65

.

Cevabı ve açıklamayı göster

Cevap: The number of officers trained only in Cyber Security is $35$ .; The number of officers who are not trained in any of these three subjects is $20$ .

Cevap

The statements confirming that

35

officers are trained only in Cyber Security and that

20

officers are not trained in any of the three subjects are correct.

The statement specifying that

35

officers are trained only in Cyber Security is correct because

75 - (20 + 10 + 10) = 35

. The statement specifying that

20

officers are not trained in any of the three subjects is also correct because the total union of officers with at least one training is

130

, leaving

150 - 130 = 20

.

Adım Adım Çözüm

1

Calculate the number of officers trained in exactly two areas and all three areas

Only Cyber Security and Data Analytics =

30 - 10 = 20

; Only Data Analytics and Disaster Management =

25 - 10 = 15

; Only Cyber Security and Disaster Management =

20 - 10 = 10

; All three =

10

.

To avoid double-counting the triple-intersection region (

10

), it must be subtracted from each pairwise intersection.

2

Calculate officers trained in only one area

Only Cyber Security =

75 - (20 + 10 + 10) = 35

; Only Data Analytics =

65 - (20 + 15 + 10) = 20

; Only Disaster Management =

55 - (10 + 15 + 10) = 20

.

Subtract all overlapping regions from the total count of each individual set.

3

Find the total number of officers trained in at least one subject (Union of 3 sets)

Total trained =

35 + 20 + 20 + 20 + 15 + 10 + 10 = 130

.

Sum up all seven mutually exclusive regions.

4

Determine the number of officers not trained in any of the three subjects

None =

150 - 130 = 20

.

Subtract the total in the union from the total population of officers (

150

).

Anahtar Kavram

Principle of Inclusion-Exclusion for Three Sets

Soru 220Soru →

Match each type of semantic analogy relationship in List-I with its corresponding word pair example in List-II.

Soldaki öğeye tıklayın, sonra eşleşen sağdaki öğeye tıklayın

Cevabı ve açıklamayı göster

Cevap

Part to Whole matches Gill : Fish; Worker and Tool matches Blacksmith : Anvil; Cause and Effect matches Drought : Famine; Antonym Pair matches Gigantic : Tiny.

Each relationship category matches its specific word pair example based on semantic logic: 'Gill' is a physical part of a 'Fish' (Part to Whole); a 'Blacksmith' works with an 'Anvil' (Worker and Tool); 'Drought' leads to 'Famine' (Cause and Effect); and 'Gigantic' means the opposite of 'Tiny' (Antonym Pair).

Adım Adım Çözüm

1

Analyze the relationship in the first category 'Part to Whole'

Identify that 'Gill' is a component part of the whole organism 'Fish'.

Matching structural components to their complete entities defines the part-to-whole rule.

2

Analyze the relationship in 'Worker and Tool'

Identify that a 'Blacksmith' relies on an 'Anvil' to shape metals.

Connecting a profession with its essential instrument defines worker and tool analogies.

3

Analyze the relationship in 'Cause and Effect'

Identify that 'Drought' creates conditions leading directly to 'Famine'.

An initial occurrence driving a subsequent condition forms a cause-effect link.

4

Analyze the relationship in 'Antonym Pair'

Identify that 'Gigantic' (extremely large) is the exact opposite of 'Tiny' (extremely small).

Words expressing contradictory or inverse meanings form antonym pairs.

Anahtar Kavram

Semantic Analogy Classification

General Mental Ability

Cevap

Adım Adım Çözüm

Anahtar Kavram

Sık Yapılan Hatalar

Cevap

Adım Adım Çözüm

Anahtar Kavram

Sık Yapılan Hatalar

Cevap

Adım Adım Çözüm

Anahtar Kavram

Sık Yapılan Hatalar

Cevap

Adım Adım Çözüm

Anahtar Kavram

Sık Yapılan Hatalar

Cevap

Adım Adım Çözüm

Anahtar Kavram

Sık Yapılan Hatalar

Cevap

Adım Adım Çözüm

Anahtar Kavram

Sık Yapılan Hatalar

Cevap

Adım Adım Çözüm

Anahtar Kavram

Sık Yapılan Hatalar

Cevap

Adım Adım Çözüm

Anahtar Kavram

Sık Yapılan Hatalar

Cevap

Adım Adım Çözüm

Anahtar Kavram

Sık Yapılan Hatalar

Cevap

Adım Adım Çözüm

Anahtar Kavram

Sık Yapılan Hatalar

Cevap

Adım Adım Çözüm

Anahtar Kavram

Sık Yapılan Hatalar

Cevap

Adım Adım Çözüm

Anahtar Kavram

Sık Yapılan Hatalar

Cevap

Adım Adım Çözüm

Anahtar Kavram

Sık Yapılan Hatalar

Cevap

Adım Adım Çözüm

Anahtar Kavram

Sık Yapılan Hatalar

Cevap

Adım Adım Çözüm

Anahtar Kavram

Sık Yapılan Hatalar

Cevap

Adım Adım Çözüm

Anahtar Kavram

Sık Yapılan Hatalar

Cevap

Adım Adım Çözüm

Anahtar Kavram

Sık Yapılan Hatalar

Cevap

Adım Adım Çözüm

Anahtar Kavram

Sık Yapılan Hatalar

Cevap

Adım Adım Çözüm

Anahtar Kavram

Sık Yapılan Hatalar

Cevap

Adım Adım Çözüm

Anahtar Kavram