General Mental Ability Practice Questions — State PSC Exam — Page 7

Which term logically completes the following alphanumeric series?

B26, G20, L15, Q11, ?, A6

V8

U8

V7

W8

Show answer & explanation

Answer: V8

Answer

V8

The correct term is V8 because the letter sequence follows a +5 positional shift rule (

B \to G \to L \to Q \to V \to A

) and the numerical sequence follows a decreasing step pattern subtractive rule (

-6, -5, -4, -3, -2

).

Step-by-Step Solution

1

Analyze the pattern for the letter positions.

The alphabetical positions advance by +5 at each step: B (2) -> G (7) -> L (12) -> Q (17). Adding 5 to Q (17) gives 22, which corresponds to the letter V. Verifying the next term: V (22) + 5 = 27, which wraps around to A (1).

Establishing the consistent forward positional shift of the alphabetical components.

2

Analyze the pattern for the numerical components.

The numbers decrease by successive decrements: 26 - 6 = 20, 20 - 5 = 15, 15 - 4 = 11. The next subtraction must be -3, giving 11 - 3 = 8. Verifying the subsequent step: 8 - 2 = 6, which matches the final term.

Determining the decreasing difference sequence for the numerical values.

3

Combine the letter and numerical results.

Combining the 5th letter V with the number 8 yields V8.

Forming the complete term for the missing position.

Key Concept

Dual-pattern alphanumeric series featuring constant letter positional increment and consecutive integer decrement

Estimated Time:1m 0s

Question 122Question →

A transportation company schedules its daily long-distance routes by increasing the total daily mileage according to a specific mathematical progression. Over the first five days of a new expansion phase, the daily total route distances recorded are $5$ , $12$ , $26$ , $49$ , and $83$ miles respectively.

If this pattern continues strictly, what will be the total route distance in miles for the sixth day?

Show answer & explanation

Answer: 130

Answer

130

The sequence follows a double-difference pattern where the second-level differences form a simple arithmetic progression increasing by

2

. By extending this pattern, the next addition to the sequence is

47

, which yields exactly

130

when added to the fifth term.

Step-by-Step Solution

1

Calculate the differences between consecutive terms in the given sequence.

12 - 5 = 7

;

26 - 12 = 14

;

49 - 26 = 23

;

83 - 49 = 34

.

Finding the first-level differences is the standard approach to identify hidden polynomial sequences.

2

Calculate the differences of the first-level differences (second-level differences).

14 - 7 = 7

;

23 - 14 = 9

;

34 - 23 = 11

.

The first-level differences do not form a constant sequence, but measuring their rate of change reveals an underlying arithmetic progression.

3

Identify the pattern in the second-level differences and extrapolate the next value.

The second-level differences (

7

,

9

,

11

) increase by

2

each time. The next second-level difference will be

11 + 2 = 13

.

Establishing the core constant pattern allows for accurate forward prediction.

4

Calculate the next first-level difference and the final 6th term.

Next first-level difference =

34 + 13 = 47

. Sixth term =

83 + 47 = 130

.

Applying the extrapolated differences forward up the chain yields the final required value.

Key Concept

Double Difference Number Series

Question 123Question →

During an audit of a warehouse, a supervisor notices that the serial numbers on a batch of secured containers follow a specific alphanumeric progression. The first four container tags are recorded as B3M, E7P, I12T, and N18Y. Based on this established progression, what should be the serial number on the fifth container?

T25E

Q22B

T24E

T25D

Show answer & explanation

Answer: T25E

Answer

T25E

The progression operates on three separate tracks. The first letter shifts by +3, +4, +5, and subsequently +6 (N to T). The central number increases by +4, +5, +6, and subsequently +7 (18 to 25). The last letter shifts by +3, +4, +5, and subsequently +6, which requires wrapping past Z (Y + 6 = E). Combining these three components yields T25E.

Step-by-Step Solution

1

Analyze the pattern of the first letter in each term.

B to E is +3; E to I is +4; I to N is +5.

To identify the rule governing the first alphabetical component.

2

Apply the established rule to find the first letter of the fifth term.

The next shift must be +6. N (14th letter) + 6 = 20th letter, which is T.

To determine the starting character of the missing serial number.

3

Analyze the pattern of the numerical portion in each term.

3 to 7 is +4; 7 to 12 is +5; 12 to 18 is +6.

To identify the rule governing the central numbers.

4

Apply the numerical rule to find the central number of the fifth term.

The next addition must be +7. 18 + 7 = 25.

To determine the numerical component of the missing serial number.

5

Analyze the pattern of the final letter in each term.

M to P is +3; P to T is +4; T to Y is +5.

To identify the rule governing the last alphabetical component.

6

Apply the rule to find the final letter of the fifth term, accounting for the end of the alphabet.

The next shift must be +6. Y (25th letter) + 6 = 31. Since the alphabet has 26 letters, 31 - 26 = 5th letter, which is E.

To determine the final character of the missing serial number by wrapping around the alphabet.

Key Concept

Progressive Alphanumeric Series and Alphabetical Wrapping

Question 124Question →

An algorithmic database maps family connections using the following symbolic notation:

$A + B$ signifies that $A$ is the brother of $B$ .
$A - B$ signifies that $A$ is the sister of $B$ .
$A \times B$ signifies that $A$ is the father of $B$ .
$A \div B$ signifies that $A$ is the mother of $B$ .

Given the relational data sequence: $C \times D - E \times F + G$

Based strictly on this sequence, which of the following statements must be true?

G

is the grandson of

C

.

D

is the maternal aunt of

F

.

C

is the paternal grandfather of

G

.

F

is the paternal uncle of

G

.

Show answer & explanation

Answer: $C$ is the paternal grandfather of $G$ .

Answer

The statement asserting that

C

is the paternal grandfather of

G

is definitely true.

The sequence

E \times F + G

establishes that

E

is the father of

F

, and

F

is the brother of

G

. Therefore,

E

is the father of both

F

and

G

. The preceding sequence

C \times D - E

establishes that

C

is the father of

D

, who is the sister of

E

. Thus,

C

is the father of

E

. Since

C

is the father of

G

's father (

E

),

C

is definitively the paternal grandfather of

G

.

Step-by-Step Solution

1

Analyze the first portion of the relational sequence:

C \times D - E

.

C

is the father of

D

, and

D

is the sister of

E

. Therefore,

C

is the father of both

D

and

E

.

To establish the relationships and gender identities in the first generation.

2

Analyze the second portion of the relational sequence:

E \times F + G

.

E

is the father of

F

, and

F

is the brother of

G

. Thus,

E

is the father of both

F

and

G

. This also confirms that

E

is male.

To establish the relationships in the second generation and confirm

E

's role as a father.

3

Combine the deduced relationships across generations.

C

is the father of

E

(who is male), and

E

is the father of

G

. Therefore,

C

is the father of

G

's father.

To deduce the final kinship required to evaluate the given statements.

Key Concept

Family Tree Tracing and Gender Identification in Coded Relations

Estimated Time:1m 0s

Question 125Question →

A local theater has a single continuous row of 42 seats in its front balcony. A guest's assigned seat is the $12^{\text{th}}$ one when counting from the left side. What is the position of this exact same seat when counting from the right side?

30^{\text{th}}

12^{\text{th}}

31^{\text{st}}

32^{\text{nd}}

Show answer & explanation

Answer: $31^{\text{st}}$

Answer

31^{\text{st}}

To find the position of an item from one end when its position from the opposite end and the total count are known, we subtract the known position from the total number of items, and then add 1. Using the ranking formula

R = T - L + 1

, we get

42 - 12 + 1 = 31

. Thus, the seat is

31^{\text{st}}

from the right.

Step-by-Step Solution

1

Identify the total number of seats and the known position from the left.

Total = 42

,

Left = 12

These are the given values required to find the relative position from the opposite end of the row.

2

Apply the standard ranking formula to calculate the position from the right side.

Right = Total - Left + 1

When converting a rank from one end to the other, subtracting the known rank from the total excludes the item itself from the count, so we must add 1 back to include it.

3

Perform the mathematical calculation.

Right = 42 - 12 + 1 = 30 + 1 = 31

Completing the arithmetic yields the final rank from the right side.

Key Concept

Position Calculation from Opposite Ends in a Linear Sequence

Question 126Question →

Consider the following numerical sequence: $11, 14, 23, 44, 83, \dots$ What is the next term in this sequence?

Show answer & explanation

Answer: 146

Answer

The next term in the sequence is 146.

The sequence follows a double-difference pattern where the differences between consecutive terms (

3, 9, 21, 39

) themselves differ by an arithmetic progression of multiples of 6 (

6, 12, 18

). Adding the next increment of 24 to 39 gives a term difference of 63. Adding 63 to the last term 83 results in 146.

Step-by-Step Solution

1

Find the first difference between consecutive terms

The differences are 3, 9, 21, and 39.

Analyzing differences helps reveal underlying polynomial or double-difference patterns.

2

Find the second difference (difference of differences)

The second differences are 6, 12, and 18.

The first differences do not form an obvious basic sequence, so taking second differences reveals the hidden pattern.

3

Determine the next first-difference value

Next second difference is 24, making the next first difference 39 + 24 = 63.

The second-level differences increase by 6 each step (multiples of 6).

4

Calculate the next term in the sequence

83 + 63 = 146

Adding the computed term difference to the latest term yields the next sequence number.

Key Concept

Double Difference Number Series

Estimated Time:1m 30s

Question 127Question →

Which of the following terms logically completes the given alphanumeric series?

A1, C4, E9, G16, \dots

I25

R25

H25

I20

Show answer & explanation

Answer: $I25$

Answer

The term that logically completes the series is

I25

.

The correct term is formed by combining the two independent rules governing the series: the letter advances by 2 steps in standard forward alphabetical order (

A \to C \to E \to G \to I

), and the number sequence follows consecutive perfect squares (

1^2=1, 2^2=4, 3^2=9, 4^2=16, 5^2=25

). Thus, the missing term is

I25

.

Step-by-Step Solution

1

Analyze the letter pattern

A \xrightarrow{+2} C \xrightarrow{+2} E \xrightarrow{+2} G \xrightarrow{+2} I

Each letter moves forward by 2 positions in standard alphabetical order.

2

Analyze the number pattern

1^2 = 1, \quad 2^2 = 4, \quad 3^2 = 9, \quad 4^2 = 16, \quad 5^2 = 25

The numbers represent squares of consecutive positive integers starting from 1.

3

Combine the letter and number terms

Fifth term =

I25

Combining the 5th letter (I) and the 5th square (25) completes the sequence.

Key Concept

Alphanumeric Series Completion

Question 128Question →

Complete the given alphanumeric series by determining the missing term.

Fill in the blanks below

In the series

B2D, E6G, H12J, K20M, \dots

, the term that logically follows next is .

Show answer & explanation

Answer

The term that logically completes the series is N30P.

The series consists of three independent patterns: the first letter advances by

+3

alphabetical positions (

B \rightarrow E \rightarrow H \rightarrow K \rightarrow N

), the middle number follows a difference pattern of

+4, +6, +8, +10

(

20 + 10 = 30

), and the third letter advances by

+3

alphabetical positions (

D \rightarrow G \rightarrow J \rightarrow M \rightarrow P

). Combining these results gives N30P.

Step-by-Step Solution

1

Analyze the pattern of the first letters in each term.

The first letters are

B, E, H, K

. Their alphabetical positions are

2, 5, 8, 11

, which increase by

+3

each time (

2+3=5, 5+3=8, 8+3=11

). The next position is

11 + 3 = 14

, corresponding to letter

N

.

To establish the positional shift pattern for the first component.

2

Analyze the pattern of the middle numerical values.

The sequence of numbers is

2, 6, 12, 20

. The differences between consecutive terms are

6-2=4

,

12-6=6

, and

20-12=8

. The differences increase by

+2

each time (

4, 6, 8

). Therefore, the next difference must be

8 + 2 = 10

. The next number is

20 + 10 = 30

.

To determine the double-difference rule governing the numerical values.

3

Analyze the pattern of the third letters in each term.

The third letters are

D, G, J, M

. Their alphabetical positions are

4, 7, 10, 13

, which increase by

+3

each time (

4+3=7, 7+3=10, 10+3=13

). The next position is

13 + 3 = 16

, corresponding to letter

P

.

To establish the positional shift pattern for the final component.

4

Combine the components to form the final term.

Combining the first letter (

N

), the number (

30

), and the last letter (

P

) yields

N30P

.

Synthesizing the three independent patterns into a single term.

Key Concept

Alphanumeric Series Pattern Analysis

Estimated Time:1m 0s

Question 129Question →

If ' $P \times Q$ ' means ' $P$ is the father of $Q$ ', ' $P + Q$ ' means ' $P$ is the brother of $Q$ ', ' $P - Q$ ' means ' $P$ is the mother of $Q$ ', and ' $P \div Q$ ' means ' $P$ is the sister of $Q$ ', then in the expression $A \times B + C - D \div E$ , how is $E$ related to $A$ ?

Grandson

Granddaughter

Maternal Grandfather

Cannot be determined

Show answer & explanation

Answer: Cannot be determined

Answer

Cannot be determined

Decoding the expression shows that A is the father of C, and C is the mother of E, establishing A as the maternal grandfather of E. However, the relation

D \div E

only states that D is the sister of E, which confirms D's gender as female but leaves E's gender unstated. Consequently, E could be either a grandson or a granddaughter, making the exact relation impossible to determine.

Step-by-Step Solution

1

Decode the pairwise relationships in the expression from left to right.

A \times B

indicates

A

is the father of

B

.

B + C

indicates

B

is the brother of

C

.

C - D

indicates

C

is the mother of

D

.

D \div E

indicates

D

is the sister of

E

.

Breaking down the coded operators reveals the direct links between consecutive individuals.

2

Construct the generational hierarchy.

A

is the father of both

B

and

C

(first generation gap).

C

is the mother of both

D

and

E

(second generation gap). Thus,

A

is the maternal grandfather of

E

.

Combining sibling and parent relationships establishes the multi-generational family tree.

3

Evaluate the gender of the target individual

E

.

The relation

D \div E

specifies that

D

is a female sibling of

E

, but gives no information regarding whether

E

is male or female.

Gender in blood relation problems must be explicitly stated; it cannot be inferred from a sibling's gender.

4

Determine the exact kinship relation of

E

to

A

.

Since

E

is a grandchild of

A

but could be either male or female,

E

could be either a grandson or a granddaughter. Therefore, the relation cannot be determined uniquely.

Without definitive gender information, a specific relational title cannot be selected.

Key Concept

Gender ambiguity in coded blood relations

Question 130Question →

Determine the value of the missing term that logically continues the given numerical sequence:

6, 13, 28, 59, 122, ?

Show answer & explanation

Answer: 249

Answer

The missing term in the sequence is 249.

The sequence follows the pattern

T_n = T_{n-1} \times 2 + (n-1)

for

n \ge 2

. Thus, the 6th term is

122 \times 2 + 5 = 249

.

Step-by-Step Solution

1

Examine the transition between consecutive numbers in the series

From 6 to 13:

6 \times 2 + 1 = 13

From 13 to 28:

13 \times 2 + 2 = 28

Establishing the basic recursive function pattern

2

Verify the pattern across remaining terms

From 28 to 59:

28 \times 2 + 3 = 59

From 59 to 122:

59 \times 2 + 4 = 122

Confirming that the multiplier is constant (2) while the added constant increments by 1 at each step

3

Apply the rule to find the missing term

122 \times 2 + 5 = 244 + 5 = 249

Extending the pattern by adding 5 after doubling the previous term

Key Concept

Recursive series with constant multiplier and arithmetic additive offset

Estimated Time:1m 0s

Question 131Question →

Match each number pair analogy in List-I with its corresponding underlying mathematical rule in List-II.

Click a left item, then click its matching right item

Show answer & explanation

Answer

The pair

8 : 448

matches

x : x^3 - x^2

;

7 : 336

matches

x : x^3 - x

;

6 : 222

matches

x : x^3 + x

; and

5 : 150

matches

x : x^3 + x^2

.

Each pair in List-I represents a cubic transformation of the first number. Evaluating

8^3 - 8^2 = 448

,

7^3 - 7 = 336

,

6^3 + 6 = 222

, and

5^3 + 5^2 = 150

confirms the one-to-one mapping with the respective rules in List-II.

Step-by-Step Solution

1

Analyze the relationship for the first pair

8 : 448

Calculate

8^3 = 512

. Subtracting

8^2 = 64

gives

512 - 64 = 448

, establishing the rule

x : x^3 - x^2

.

Identify the operation involving cubes and squares of the base number

8

.

2

Analyze the relationship for the second pair

7 : 336

Calculate

7^3 = 343

. Subtracting

7

gives

343 - 7 = 336

, establishing the rule

x : x^3 - x

.

Identify the operation involving subtracting the base number from its cube.

3

Analyze the relationship for the third pair

6 : 222

Calculate

6^3 = 216

. Adding

6

gives

216 + 6 = 222

, establishing the rule

x : x^3 + x

.

Identify the operation involving adding the base number to its cube.

4

Analyze the relationship for the fourth pair

5 : 150

Calculate

5^3 = 125

. Adding

5^2 = 25

gives

125 + 25 = 150

, establishing the rule

x : x^3 + x^2

.

Identify the operation involving adding the square of the base number to its cube.

Key Concept

Polynomial operations on base numbers in numerical analogies

Estimated Time:2m 0s

Question 132Question →

A standard analog clock indicates the time is exactly 4:10. Calculate the smaller angle, in degrees, formed between the hour hand and the minute hand.

Show answer & explanation

Answer: 65; 65°; 65 degrees

Answer

65 degrees

At exactly 4:10, the minute hand has moved

60^\circ

from the top of the clock, and the hour hand has moved

120^\circ

for the four hours plus an extra

5^\circ

for the ten minutes passed. The difference between their specific positions (

125^\circ

and

60^\circ

) is exactly

65^\circ

.

Step-by-Step Solution

1

Calculate the angular position of the minute hand relative to the 12 o'clock mark.

The minute hand is at 10 minutes, which corresponds to an angle of

10 \times 6^\circ = 60^\circ

.

The minute hand moves

360^\circ

in 60 minutes, which equals a speed of

6^\circ

per minute.

2

Calculate the angular position of the hour hand relative to the 12 o'clock mark.

The hour hand has moved past the 4 o'clock mark. Its position is

4 \times 30^\circ + 10 \times 0.5^\circ = 120^\circ + 5^\circ = 125^\circ

.

The hour hand moves

30^\circ

per hour and an additional

0.5^\circ

per minute due to continuous drift.

3

Find the absolute difference between the two angular positions to determine the angle between the hands.

|125^\circ - 60^\circ| = 65^\circ

.

The angle between the two hands is simply the absolute difference of their individual positions from the 12 o'clock reference point.

Key Concept

Clock hand angular positioning and the calculation of hour-hand drift.

Question 133Question →

If January 10, 1896, was a Friday, what day of the week was January 10, 1908?

Saturday

Thursday

Friday

Sunday

Show answer & explanation

Answer: Friday

Answer

Friday

The correct day is Friday because evaluating the 12-year interval from January 10, 1896, to January 10, 1908, yields exactly 14 odd days. This breaks down into 12 baseline days (one for each year) plus 2 extra days for the leap years explicitly crossed (1896 and 1904). Importantly, the year 1900 is not a leap year, and the leap day of 1908 is not reached. Because 14 is perfectly divisible by 7 (remainder 0), the day of the week does not shift.

Step-by-Step Solution

1

Calculate the total number of years between the two dates.

The total span from January 10, 1896, to January 10, 1908, is exactly 12 years.

Each standard year contributes 1 odd day (since 365 mod 7 = 1) to the day of the week progression.

2

Identify the number of leap years crossed within this specific time frame.

The leap days crossed belong to the years 1896 and 1904. Total = 2 additional leap days.

1896 is a leap year, and we cross its February 29th because we start on January 10th. The year 1900 is a century year not divisible by 400, so it is a standard year (no leap day). 1904 is a leap year. Although 1908 is a leap year, the period ends on January 10th, so its February 29th is not crossed.

3

Calculate the total number of odd days and determine the final day of the week.

12 standard odd days + 2 leap odd days = 14 odd days. 14 divided by 7 leaves a remainder of 0. Friday + 0 days = Friday.

Adding the accumulated odd days to the original day provides the target day of the week. A remainder of 0 indicates a complete cycle.

Key Concept

Century leap year rules and date boundary logic in calendars

Question 134Question →

Which of the following terms logically completes the given alphanumeric series?

D8W, F15U, I24R, M35O, ?

R48I

R48J

S48I

R47I

Show answer & explanation

Answer: $R48I$

Answer

The term that logically completes the series is

R48I

.

The first letter moves forward with increasing shifts of +2, +3, +4, and +5 (M + 5 = R). The middle number increases by odd consecutive differences +7, +9, +11, and +13 (

35 + 13 = 48

). The last letter is the complementary reverse alphabet pair summing to 27 (

27 - 18 = 9

, which is I). Combining these yields

R48I

.

Step-by-Step Solution

1

Analyze the pattern of the first letter in each term

D (4)

\xrightarrow{+2}

F (6)

\xrightarrow{+3}

I (9)

\xrightarrow{+4}

M (13). The next shift is

+5

, giving

13 + 5 = 18

, which corresponds to R.

The positional step increases by 1 at each term.

2

Analyze the pattern of the middle numerical value

The numbers are

8, 15, 24, 35

. The differences between consecutive terms are

15-8=7

,

24-15=9

,

35-24=11

. The next difference is

+13

, making

35 + 13 = 48

(or

7^2 - 1 = 48

).

The consecutive difference increases by 2 each time.

3

Analyze the pattern of the second letter in each term

Each second letter is the reverse alphabetical pair of the first letter (sum of positions = 27): D(4)+W(23)=27, F(6)+U(21)=27, I(9)+R(18)=27, M(13)+O(14)=27. For R (18th letter), the complementary position is

27 - 18 = 9

, which corresponds to I.

The second letter maintains a constant complementary sum of 27 with the first letter.

Key Concept

Alphanumeric Series Completion via Multi-Pattern Analysis

Question 135Question →

Match each scientific instrument in List-I with the corresponding physical quantity or phenomenon it measures in List-II. Which set of pairings correctly matches all items?

Click a left item, then click its matching right item

Show answer & explanation

Answer

Seismograph corresponds to Earthquake intensity, Thermometer corresponds to Temperature, Anemometer corresponds to Wind speed, and Hygrometer corresponds to Humidity.

Each instrument is correctly linked to the physical quantity it measures: Seismograph measures earthquake intensity, Thermometer measures temperature, Anemometer measures wind speed, and Hygrometer measures humidity.

Step-by-Step Solution

1

Identify the primary function of each instrument in List-I

Seismograph detects ground movements (earthquakes), Thermometer measures heat/temperature, Anemometer measures airflow/wind, and Hygrometer measures humidity.

Establishing the semantic analogy relationship between an instrument and its measured parameter.

2

Pair each item from List-I to its corresponding term in List-II

Seismograph → Earthquake intensity, Thermometer → Temperature, Anemometer → Wind speed, Hygrometer → Humidity.

Direct semantic association based on scientific instrument functionality.

Key Concept

Instrument to Quantity Semantic Analogy

Question 136Question →

In a certain code language, the word ORANGE is written as PSBOHF. Following the exact same coding rule, what is the code for the word GRAPE?

Show answer & explanation

Answer: HSBQF; hsbqf

Answer

The code for the word GRAPE is HSBQF.

Each letter in the original word is shifted forward by one position in the alphabet. Applying this +1 shift to the letters of GRAPE gives G -> H, R -> S, A -> B, P -> Q, and E -> F, resulting in the code HSBQF.

Step-by-Step Solution

1

Analyze the rule used to transform ORANGE into PSBOHF.

Each letter in ORANGE is shifted forward by 1 position in the English alphabetical sequence: O (+1) -> P, R (+1) -> S, A (+1) -> B, N (+1) -> O, G (+1) -> H, E (+1) -> F.

Identifying the pattern of adding 1 to each letter's alphabetical rank determines the coding rule.

2

Apply the +1 forward letter shift rule to each letter of GRAPE.

G (+1) -> H, R (+1) -> S, A (+1) -> B, P (+1) -> Q, E (+1) -> F.

Applying the same rule consistently to all letters produces the correct decoded word.

Key Concept

Forward Alphabetical Position Shift

Question 137Question →

In the following letter analogy, the second letter-group is related to the first letter-group following a specific positional shift rule in the English alphabet:

\text{TRACK} : \text{USBDL} :: \text{DRIVE} : ?

Which of the following completes the given analogy?

\text{CQHUD}

\text{ESJWF}

\text{ETKXG}

\text{ESJVE}

Show answer & explanation

Answer: $\text{ESJWF}$

Answer

The letter-group

\text{ESJWF}

completes the analogy because each letter in

\text{DRIVE}

is shifted forward by

+1

position in the English alphabet.

In the initial term

\text{TRACK}

, each letter moves forward by 1 position in alphabetical order to form

\text{USBDL}

(T

\rightarrow

U, R

\rightarrow

S, A

\rightarrow

B, C

\rightarrow

D, K

\rightarrow

L). Applying the exact same

+1

forward shift to

\text{DRIVE}

yields D

\rightarrow

E, R

\rightarrow

S, I

\rightarrow

J, V

\rightarrow

W, E

\rightarrow

F, giving the result

\text{ESJWF}

.

Step-by-Step Solution

1

Analyze the relationship between the first pair

\text{TRACK} : \text{USBDL}

T

+1 =

U, R

+1 =

S, A

+1 =

B, C

+1 =

D, K

+1 =

L.

Identify the underlying transformation rule, which is a uniform forward shift of

+1

for each letter.

2

Apply the identical

+1

shift rule to the third term

\text{DRIVE}

D

+1 =

E, R

+1 =

S, I

+1 =

J, V

+1 =

W, E

+1 =

F.

Determine the missing fourth term according to the established analogy rule.

Key Concept

Alphabet Positional Analogy

Estimated Time:45s

Question 138Question →

Rohan walks $12\text{ km}$ North from his house. He then turns right and walks $5\text{ km}$ , turns right again and walks $12\text{ km}$ , and finally turns left and walks $4\text{ km}$ . In which direction is Rohan located with respect to his starting house?

East

West

North

South

Show answer & explanation

Answer: East

Answer

Rohan is located directly East of his starting house.

Starting at

(0,0)

, moving North

12\text{ km}

reaches

(0,12)

. Turning right (East)

5\text{ km}

reaches

(5,12)

. Turning right (South)

12\text{ km}

returns to the baseline at

(5,0)

. Turning left (East)

4\text{ km}

ends at

(9,0)

. Since the y-coordinate is

0

and the x-coordinate is

+9

, Rohan is directly East of his starting house.

Step-by-Step Solution

1

Set the starting house as the origin

(0, 0)

and trace the first movement North.

Walking

12\text{ km}

North reaches coordinates

(0, 12)

.

North represents movement along the positive y-axis.

2

Turn right and walk

5\text{ km}

.

A

90^\circ

clockwise turn from North is East, reaching coordinates

(5, 12)

.

Right turn when facing North changes orientation to East.

3

Turn right again and walk

12\text{ km}

.

A

90^\circ

clockwise turn from East is South, reaching coordinates

(5, 0)

.

Right turn when facing East changes orientation to South. Moving

12\text{ km}

South cancels out the initial

12\text{ km}

North.

4

Turn left and walk

4\text{ km}

.

A

90^\circ

counter-clockwise turn from South is East, reaching final coordinates

(9, 0)

.

Left turn when facing South reorients towards East.

Key Concept

Direction and Distance Vector Tracking

Estimated Time:45s

Question 139Question →

Match each analogy pattern in List-I with its correct completing term in List-II based on the underlying logical, numerical, or alphabetical relationship.

Click a left item, then click its matching right item

Show answer & explanation

Answer

The correct pairings are:

14 : 210 :: 18 : ?

matches

342

;

\text{BEAK} : \text{GJFP} :: \text{MOLD} : ?

matches

\text{RTQI}

;

8 : 504 :: 11 : ?

matches

1320

; and

\text{BEAR} : \text{YVZI} :: \text{GLAD} : ?

matches

\text{TOZW}

.

Each analogy pair in List-I uniquely maps to its corresponding term in List-II by applying distinct structural logic:

n : n^2 + n

yields

342

; a forward alphabetical shift of

+5

produces

\text{RTQI}

;

n : n^3 - n

produces

1320

; and reverse alphabet complementation forms

\text{TOZW}

.

Step-by-Step Solution

1

Analyze the first numerical analogy

14 : 210 :: 18 : ?

Identify the operation

n \rightarrow n^2 + n

. Calculating for

18

:

18^2 + 18 = 324 + 18 = 342

.

Establishes the non-linear multi-step operation relating the terms.

2

Determine the alphabet shift pattern for

\text{BEAK} : \text{GJFP} :: \text{MOLD} : ?

Each letter undergoes a uniform forward shift of

+5

. Applying to

\text{MOLD}

gives

\text{RTQI}

.

Decodes the directional letter movement along standard alphabetical positions.

3

Analyze the second numerical analogy

8 : 504 :: 11 : ?

Identify the cubic operation

n \rightarrow n^3 - n

. Calculating for

11

:

11^3 - 11 = 1331 - 11 = 1320

.

Evaluates higher-power numerical relationships.

4

Determine the complementary letter pairing for

\text{BEAR} : \text{YVZI} :: \text{GLAD} : ?

Replace each letter with its opposite pair from the reverse alphabet sequence (

27 - \text{position}

).

\text{GLAD}

transforms to

\text{TOZW}

.

Applies mirror-alphabet symmetry logic.

Key Concept

Multi-step Numerical and Alphabetical Analogy Rules

Estimated Time:2m 0s

Question 140Question →

Match each original word in List-I with its corresponding coded representation in List-II based on their underlying logical transformation rules.

Click a left item, then click its matching right item

Show answer & explanation

Answer

ORBIT matches LUERW, CRAFT matches ATHHR, GLINT matches TOJMG, and PRISM matches QTLWR.

Each item in List-I follows a unique logical rule: ORBIT uses a mixed vowel-reverse and consonant

+3

shift to yield LUERW; CRAFT uses an alternating

-2/+2

positional index shift to yield ATHHR; GLINT applies reverse-consonant mapping with

+1

vowel shift to yield TOJMG; and PRISM uses a progressive positional addition (

+1, +2, +3, +4, +5

) to yield QTLWR.

Step-by-Step Solution

1

Analyze the transformation for ORBIT

ORBIT becomes LUERW

Vowels are replaced with reverse alphabetical letters (

O \to L

,

I \to R

) and consonants are shifted

+3

(

R \to U

,

B \to E

,

T \to W

).

2

Analyze the transformation for CRAFT

CRAFT becomes ATHHR

Odd-positioned letters (1st, 3rd, 5th) shift

-2

(

C \to A

,

A \to Y

,

T \to R

) and even-positioned letters (2nd, 4th) shift

+2

(

R \to T

,

F \to H

).

3

Analyze the transformation for GLINT

GLINT becomes TOJMG

Consonants are replaced by their reverse alphabetical counterparts (

G \to T

,

L \to O

,

N \to M

,

T \to G

) and vowels shift

+1

(

I \to J

).

4

Analyze the transformation for PRISM

PRISM becomes QTLWR

Each letter's alphabetical shift equals its 1-based position in the word:

1^{\text{st}}

letter

+1

,

2^{\text{nd}}

letter

+2

,

3^{\text{rd}}

letter

+3

,

4^{\text{th}}

letter

+4

, and

5^{\text{th}}

letter

+5

.

Key Concept

Complex Pattern Transformations in Coding-Decoding

General Mental Ability

Answer

Step-by-Step Solution

Key Concept

Common Mistakes

Answer

Step-by-Step Solution

Key Concept

Common Mistakes

Answer

Step-by-Step Solution

Key Concept

Common Mistakes

Answer

Step-by-Step Solution

Key Concept

Common Mistakes

Answer

Step-by-Step Solution

Key Concept

Common Mistakes

Answer

Step-by-Step Solution

Key Concept

Common Mistakes

Answer

Step-by-Step Solution

Key Concept

Common Mistakes

Answer

Step-by-Step Solution

Key Concept

Common Mistakes

Answer

Step-by-Step Solution

Key Concept

Common Mistakes

Answer

Step-by-Step Solution

Key Concept

Common Mistakes

Answer

Step-by-Step Solution

Key Concept

Common Mistakes

Answer

Step-by-Step Solution

Key Concept

Common Mistakes

Answer

Step-by-Step Solution

Key Concept

Common Mistakes

Answer

Step-by-Step Solution

Key Concept

Common Mistakes

Answer

Step-by-Step Solution

Key Concept

Common Mistakes

Answer

Step-by-Step Solution

Key Concept

Common Mistakes

Answer

Step-by-Step Solution

Key Concept

Common Mistakes

Answer

Step-by-Step Solution

Key Concept

Common Mistakes

Answer

Step-by-Step Solution

Key Concept

Common Mistakes

Answer

Step-by-Step Solution

Key Concept