All practice questions

Question 661Question →

A wildlife biologist starts tracking a tagged animal from a base station while facing North. She first walks $14\text{ m}$ due North, then turns $90^\circ$ clockwise and walks $18\text{ m}$ . Next, she turns $135^\circ$ clockwise and walks $10\sqrt{2}\text{ m}$ . Finally, she turns $45^\circ$ counter-clockwise and walks $10\text{ m}$ straight ahead to reach her observation point. What is the shortest distance between her observation point and the base station, and in which direction is she relative to the base station?

10\text{ m}

, South-East

10\text{ m}

, South-West

14\text{ m}

, South-East

20\text{ m}

, North-East

Show answer & explanation

Answer: $10\text{ m}$ , South-East

Answer

10\text{ m}

, South-East

The correct answer is

10\text{ m}

, South-East. Taking the base station as origin

(0,0)

, the initial moves place the biologist at

(18, 14)

. Turning

135^\circ

clockwise from East points her South-West, shifting her coordinates by

(-10, -10)

to

(8, 4)

. Turning

45^\circ

counter-clockwise from South-West points her due South, shifting her coordinates by

(0, -10)

to

(8, -6)

. Using the Pythagorean theorem,

\sqrt{8^2 + (-6)^2} = 10\text{ m}

, located in the South-East quadrant relative to the origin.

Step-by-Step Solution

1

Calculate displacement after Step 1 and Step 2

Position is

(18, 14)

relative to origin

(0,0)

Walking

14\text{ m}

North places her at

(0, 14)

facing North. Turning

90^\circ

clockwise faces East; walking

18\text{ m}

places her at

(18, 14)

facing East.

2

Calculate displacement after Step 3 angular turn

Position is

(8, 4)

facing South-West

From East, a

135^\circ

clockwise turn reorients facing to South-West. Moving

10\sqrt{2}\text{ m}

SW gives displacement components

\Delta x = -10\sqrt{2}\cos(45^\circ) = -10\text{ m}

and

\Delta y = -10\sqrt{2}\sin(45^\circ) = -10\text{ m}

. New position is

(18 - 10, 14 - 10) = (8, 4)

.

3

Calculate displacement after Step 4 angular turn

Final Position is

(8, -6)

facing South

From South-West (

225^\circ

), a

45^\circ

counter-clockwise turn changes facing to South (

270^\circ

). Moving

10\text{ m}

South gives

\Delta x = 0

,

\Delta y = -10\text{ m}

. Final coordinates are

(8, 4 - 10) = (8, -6)

.

4

Determine shortest distance and directional vector relative to base station

Distance

= 10\text{ m}

, Direction = South-East

Shortest distance

d = \sqrt{8^2 + (-6)^2} = \sqrt{64 + 36} = 10\text{ m}

. Since

x = +8

(East) and

y = -6

(South), the final direction relative to origin is South-East.

Key Concept

Vector displacement decomposition involving cardinal directions and angular rotations.

Question 662Question →

The following criteria must be satisfied for the recruitment of a Senior Project Analyst in a state government department:

1. The candidate must hold a Master's degree in Economics or Public Administration with a minimum of $60\%$ marks.
2. The candidate must be between $25$ and $35$ years of age as of August 1, 2026.
3. The candidate must possess at least $3$ years of work experience in public policy or data analysis.
4. The candidate must have cleared the State Level Computer Proficiency Test (CPT).

Exceptions / Override Provisions:
- Provision (i): If a candidate satisfies all criteria except (1) above, but has obtained a Ph.D. in a relevant subject and scored at least $55\%$ marks at the Master's level, the case is to be referred to the Selection Committee Chairman.
- Provision (ii): If a candidate satisfies all criteria except (3) above, but has served for $5$ or more years as a Junior Analyst in a government office, the case is to be referred to the Executive Director.
- Provision (iii): If a candidate satisfies all criteria except (2) above, but is a project-displaced candidate, an age relaxation of up to $5$ years is permitted.

Candidate Information:
Rajesh was born on July 15, 1999. He completed his Master's degree in Economics with $58\%$ marks and subsequently earned a Ph.D. in Economics. He has worked for $4$ years as a public policy analyst in a reputed research institute and successfully cleared the CPT.

Based strictly on the criteria and provisions provided, which of the following administrative decisions should be taken regarding Rajesh's candidature?

The candidate's application must be referred to the Selection Committee Chairman.

The candidate must be rejected outright for failing to secure 60% marks in his Master's degree.

The candidate should be permanently debarred from future state administrative recruitments due to academic deficiency.

The candidate's application must be referred to the Executive Director for decision.

Show answer & explanation

Answer: The candidate's application must be referred to the Selection Committee Chairman.

Answer

The candidate's application must be referred to the Selection Committee Chairman.

The candidate meets the age requirement (27 years old as of August 1, 2026), experience requirement (4 years), and computer proficiency test clearance. Although his Master's percentage (58%) falls short of the primary 60% requirement, his Ph.D. in Economics and Master's score of at least 55% trigger Provision (i), which explicitly directs that the case be referred to the Selection Committee Chairman.

Step-by-Step Solution

1

Evaluate candidate's age and primary eligibility criteria.

Born July 15, 1999, candidate's age as of August 1, 2026 is 27 years (satisfies 25–35 age range). Work experience is 4 years (satisfies min 3 years). CPT is cleared.

Verify compliance with basic criteria 2, 3, and 4.

2

Evaluate educational criteria requirement.

Candidate scored 58% in Master's degree in Economics, which fails basic Criterion 1 (requires 60%).

Identify specific criteria deficiency.

3

Check applicable exception provisions.

Provision (i) applies because the candidate holds a Ph.D. in Economics and secured 58% (>= 55%) at the Master's level, meeting all conditions for referral.

Determine the proper administrative action specified for this exact exception.

Key Concept

Multi-condition eligibility assessment with nested exception overrides

Estimated Time:2m 0s

Question 663Question →

Consider the following alphanumeric series:

A2, D6, G12, J20, \dots

Which term logically completes the series?

M30

N30

M28

L30

Show answer & explanation

Answer: $M30$

Answer

M30

The series consists of two independent rules: the alphabetical components advance by

+3

positions (

A \rightarrow D \rightarrow G \rightarrow J \rightarrow M

), and the numerical components follow a pattern of adding successive even numbers (

+4, +6, +8, +10

), leading to

20 + 10 = 30

. Combining these yields the term

M30

.

Step-by-Step Solution

1

Analyze the pattern in the letter sequence.

A (1) + 3 = D (4)

,

D (4) + 3 = G (7)

,

G (7) + 3 = J (10)

,

J (10) + 3 = M (13)

.

The letters progress forward by 3 positions in the standard alphabetical order.

2

Analyze the pattern in the numeric sequence.

2 + 4 = 6

,

6 + 6 = 12

,

12 + 8 = 20

,

20 + 10 = 30

.

The difference between consecutive numbers increases by

2

at each step (

+4, +6, +8, +10

).

3

Combine the next letter and number.

The next term is

M30

.

Combining the 13th letter

M

with the calculated number

30

completes the sequence.

Key Concept

Dual-pattern alphanumeric series progression involving constant letter shifts and increasing even number differences.

Estimated Time:45s

Question 664Question →

Study the following coded relationships carefully:

- $P + Q$ means ' $P$ is the mother of $Q$ '
- $P - Q$ means ' $P$ is the brother of $Q$ '
- $P \times Q$ means ' $P$ is the husband of $Q$ '
- $P \div Q$ means ' $P$ is the sister of $Q$ '
- $P \star Q$ means ' $P$ is the son of $Q$ '

Based on the expression $U + V \times W \div X \star Y - Z$ , which of the following statements is DEFINITELY correct?

V

is the son-in-law of

Y

Z

is the paternal uncle of

W

U

is the maternal grandmother of

X

W

is the sister-in-law of

Z

Show answer & explanation

Answer: $V$ is the son-in-law of $Y$

Answer

The statement '

V

is the son-in-law of

Y

' is definitely correct.

Breaking down the expression step-by-step:

V \times W

confirms

V

(male) is married to

W

(female).

W \div X \star Y

indicates

W

and

X

are siblings, and

X

is the son of

Y

, meaning

Y

is a parent of

W

.

Y - Z

establishes that

Y

is a male (brother of

Z

), so

Y

is the father of

W

. Since

V

is the husband of

W

and

Y

is the father of

W

,

V

is definitely the son-in-law of

Y

.

Step-by-Step Solution

1

Decode

U + V

and

V \times W

U

is female (mother of

V

).

V

is male (husband of

W

), and

W

is female (wife of

V

).

Establishes the married couple

(V, W)

and

V

's mother

U

.

2

Decode

W \div X \star Y

W

is the sister of

X

, and

X

is the son of

Y

.

Since

W

and

X

are siblings and

X

is

Y

's son,

Y

is the parent of both

W

and

X

.

3

Decode

Y - Z

Y

is the brother of

Z

.

Since

Y

is male and a parent of

W

(who is female),

Y

is the father of

W

.

Z

is a sibling of father

Y

, but

Z

's gender remains unknown.

4

Synthesize the relationship between

V

and

Y

V

is married to

W

, and

Y

is

W

's father. Therefore,

V

is

Y

's son-in-law.

Deduces the exact relationship between

V

and

Y

with 100% certainty.

Key Concept

Coded Blood Relations and Gender Deductions

Question 665Question →

Which of the following terms logically completes the given alphanumeric series: $C5X, F11U, I19R, L29O, \dots$ ?

O41L

O41M

O39L

N41L

Show answer & explanation

Answer: $O41L$

Answer

The term

O41L

logically completes the given alphanumeric series.

The series follows three simultaneous patterns: the first letter advances by

+3

positions (

C \to F \to I \to L \to O

), the middle number increases by successive even integers

+6, +8, +10, +12

(

5 \to 11 \to 19 \to 29 \to 41

), and the last letter moves backward by

-3

positions (

X \to U \to R \to O \to L

). Combining these three components yields

O41L

.

Step-by-Step Solution

1

Analyze the pattern of the first letter in each term.

The sequence of first letters is

C (3), F (6), I (9), L (12)

.

The alphabetical positions increase by

+3

each step. Thus, the next letter is at position

12 + 3 = 15

, which corresponds to

O

.

2

Analyze the numerical progression in the middle of each term.

The numerical sequence is

5, 11, 19, 29

.

The consecutive differences between terms are

11 - 5 = 6

,

19 - 11 = 8

, and

29 - 19 = 10

. The difference increases by

+2

each step. The next difference is

10 + 2 = 12

, making the next number

29 + 12 = 41

.

3

Analyze the pattern of the third letter in each term.

The sequence of third letters is

X (24), U (21), R (18), O (15)

.

The alphabetical positions decrease by

-3

each step. Thus, the next letter is at position

15 - 3 = 12

, which corresponds to

L

.

4

Combine the elements to find the missing term.

Combining the results yields

O41L

.

Joining the first letter (

O

), middle number (

41

), and last letter (

L

) completes the sequence.

Key Concept

Tri-pattern Alphanumeric Series Completion

Question 666Question →

Read the two statements given below regarding recent industrial and market developments in the regional textile sector:

Statement I: Multiple apparel manufacturing units in the industrial zone declared temporary shift suspensions and a significant reduction in overall garment production output.
Statement II: Local spinning and weaving mills experienced an acute shortage of raw cotton, resulting in an unprecedented spike in yarn procurement costs.

Which of the following statements best describes the logical relationship between Statement I and Statement II?

Statement I is the cause and statement II is its effect.

Statement II is the cause and statement I is its effect.

Both statements I and II are independent causes.

Both statements I and II are effects of independent causes.

Both statements I and II are effects of a common cause.

Show answer & explanation

Answer: Statement II is the cause and statement I is its effect.

Answer

Statement II is the cause and statement I is its effect.

In the textile industry supply chain, spinning mills supply yarn to apparel manufacturing units. A shortage of raw cotton leading to a sharp rise in yarn procurement prices (described in Statement II) represents an input cost shock and supply bottleneck. This directly forces apparel manufacturers to cut down production and suspend factory shifts (described in Statement I). Thus, Statement II is the primary cause and Statement I is its logical effect.

Step-by-Step Solution

1

Analyze the event described in Statement I.

Statement I describes apparel manufacturing units reducing garment production and suspending shifts (an operational slowdown).

Establishing the nature of the first phenomenon in the textile value chain.

2

Analyze the event described in Statement II.

Statement II describes a raw cotton shortage and an unprecedented spike in yarn procurement costs.

Establishing the nature of the second phenomenon affecting input supply.

3

Evaluate the causal link between Statement I and Statement II.

Yarn is the primary raw material for apparel manufacturing. An acute shortage and price spike in yarn directly inflates production costs and restricts raw material availability, forcing garment factories to scale down output and suspend shifts.

Testing whether one event logically and temporally precedes and produces the second event.

Key Concept

Direct Cause and Effect in Supply Chains

Question 667Question →

Match each logical reasoning problem involving numerical analogy, alphabetical pattern analogy, or classification in List-I with its corresponding correct output or odd element in List-II.

Click a left item, then click its matching right item

Show answer & explanation

Answer

Analogy 6 : 222 :: 9 : ? matches 738; Analogy 14 : 210 :: 18 : ? matches 342; Letter Analogy BJH : DJF :: FLD : ? matches HLB; Odd-One-Out Classification matches (19, 441).

Each item in List-I is evaluated using multi-step logical operations: (1)

6^3+6=222

leading to

9^3+9=738

; (2)

14^2+14=210

leading to

18^2+18=342

; (3) Alphabet positional shifts (+2, 0, -2) transforming FLD into HLB; (4) The classification rule

M=(n+1)^2

which fails only for the pair

(19, 441)

.

Step-by-Step Solution

1

Analyze the pattern for Analogy 6 : 222 :: 9 : ?

Identify the operation

n^3 + n

. Since

6^3 + 6 = 222

, apply

9^3 + 9 = 729 + 9 = 738

.

Establishes cubic function relationship between antecedent and consequent terms.

2

Analyze the pattern for Analogy 14 : 210 :: 18 : ?

Identify the operation

n^2 + n

. Since

14^2 + 14 = 210

, apply

18^2 + 18 = 324 + 18 = 342

.

Establishes quadratic non-linear relationship between terms.

3

Analyze the letter shift pattern for BJH : DJF :: FLD : ?

First letter shifts

+2

position forward, second letter shifts

0

positions, third letter shifts

-2

positions backward. Applying this to FLD yields H (F+2), L (L+0), B (D-2) = HLB.

Determines positional alphabet movement vector (+2, 0, -2).

4

Evaluate the rule across number pairs in the classification set.

Pairs

(11, 144)

,

(13, 196)

, and

(17, 324)

follow

M = (n+1)^2

. The pair

(19, 441)

breaks this rule because

(19+1)^2 = 400

, not

441

.

Identifies the element that does not satisfy the common governing rule.

Key Concept

Multi-operational Number Analogy, Positional Alphabet Shift, and Rule-based Number Classification

Question 668Question →

A field researcher starts from a central station, initially facing North. He walks $12\text{ m}$ due North, turns $90^\circ$ clockwise, and walks $9\text{ m}$ . He then turns $135^\circ$ clockwise and walks $15\sqrt{2}\text{ m}$ straight. From this position, he turns $45^\circ$ anti-clockwise and walks $5\text{ m}$ . Finally, he turns $90^\circ$ anti-clockwise and walks $12\text{ m}$ to reach a monitoring post. What is the shortest straight-line distance (in meters) between the central station and the monitoring post?

Show answer & explanation

Answer: 10

Answer

The shortest straight-line distance between the central station and the monitoring post is

10\text{ m}

.

By resolving each displacement into

x

(East-West) and

y

(North-South) components, the final position relative to the starting central station is

(6, -8)

. Applying the Pythagorean theorem

\sqrt{6^2 + (-8)^2}

yields

10\text{ m}

.

Step-by-Step Solution

1

Represent the movements as vector displacements on a Cartesian coordinate plane with origin

(0, 0)

at the central station.

Initial position is

(0, 0)

facing North.

Cartesian grid helps systematically evaluate multi-turn directional paths.

2

Calculate position after leg 1 and leg 2.

Leg 1 (12 m North): position is

(0, 12)

, facing North. Leg 2 (90° clockwise = East, 9 m): position is

(9, 12)

, facing East.

Moving North increases

y

-coordinate; turning 90° clockwise points East, increasing

x

-coordinate.

3

Calculate position after leg 3.

Turning 135° clockwise from East sets direction to South-West (

225^\circ

). Displacement vector is

(-15\sqrt{2} \cos 45^\circ, -15\sqrt{2} \sin 45^\circ) = (-15, -15)

. New position is

(9 - 15, 12 - 15) = (-6, -3)

, facing South-West.

135° clockwise turn from East (90°) points along the South-West diagonal.

4

Calculate position after leg 4.

Turning 45° anti-clockwise from South-West sets direction to South (

180^\circ

). Walking 5 m South gives new position

(-6, -3 - 5) = (-6, -8)

, facing South.

45° anti-clockwise turn from South-West (225°) rotates direction to South (180°).

5

Calculate position after leg 5.

Turning 90° anti-clockwise from South sets direction to East (

90^\circ

). Walking 12 m East gives final position

(-6 + 12, -8) = (6, -8)

.

90° anti-clockwise turn from South rotates direction to East, increasing

x

-coordinate by 12.

6

Compute the shortest straight-line distance from origin

(0, 0)

to final position

(6, -8)

.

Distance

d = \sqrt{6^2 + (-8)^2} = \sqrt{36 + 64} = \sqrt{100} = 10\text{ m}

.

Shortest distance between two points on a plane is given by the Pythagorean distance formula.

Key Concept

Shortest distance calculation using 2D vector coordinate mapping and angle turns

Estimated Time:1m 30s

Question 669Question →

The following criteria are established for the recruitment of a Senior Administrative Officer in a State Public Corporation as of August 1, 2026:

1. The candidate must hold a Master's degree in Public Administration or Management with a minimum of 60% marks.
2. The candidate must be between 30 and 45 years of age as of August 1, 2026.
3. The candidate must have at least 7 years of administrative experience in a Government department or Public Sector Undertaking (PSU).
4. The candidate must have achieved a minimum score of 75% in the written leadership assessment.

However, the following relaxation and exception clauses apply:
- Clause (a): If a candidate satisfies all conditions except (1), but holds a Doctorate (Ph.D.) in Governance with at least 5 years of administrative experience, the case is to be referred to the Managing Director.
- Clause (b): If a candidate satisfies all conditions except (2), but is an Ex-serviceman eligible for up to 5 years of age relaxation, the case is to be referred to the Executive Committee.
- Clause (c): If a candidate satisfies all conditions except (3), but has served as a Deputy Director in a State Secretariat for at least 4 years, the case is to be referred to the Recruitment Board Chairman.
- Clause (d): If a candidate satisfies all conditions except (4), but scored at least 70% in the leadership assessment and holds a State Government Outstanding Performance Award, the candidate is to be provisionally shortlisted subject to Board approval.

Match each candidate profile (Left Items) with the correct administrative decision outcome (Right Items) based strictly on the criteria and exception clauses above.

Click a left item, then click its matching right item

Show answer & explanation

Answer

Candidate P matches with 'Provisionally shortlisted subject to Board approval', Candidate Q matches with 'Referred to the Managing Director', Candidate R matches with 'Referred to the Executive Committee', and Candidate S matches with 'Referred to the Recruitment Board Chairman'.

Each candidate's profile matches precisely one specific exception clause due to failing exactly one primary criterion while satisfying the explicit condition outlined in that clause.

Step-by-Step Solution

1

Evaluate Candidate P against primary rules and exception clauses.

Age as of Aug 1, 2026 is 34 years (valid: 30–45). Master's degree score is 62% (valid: >= 60%). PSU experience is 8 years (valid: >= 7). Leadership score is 72% (fails primary rule 4 of >= 75%). Check Clause (d): score is >= 70% and holds an Outstanding Performance Award. Clause (d) applies.

When a candidate fails a primary condition, exception clauses must be evaluated systematically to determine the correct administrative path.

2

Evaluate Candidate Q against primary rules and exception clauses.

Age is 38 years (valid). Leadership score is 80% (valid). Candidate does not hold a Master's degree (fails primary rule 1). Check Clause (a): holds a Ph.D. in Governance and has 6 years experience (>= 5 years required). Clause (a) applies.

Alternative academic qualifications coupled with specific minimum experience trigger referral to the Managing Director under Clause (a).

3

Evaluate Candidate R against primary rules and exception clauses.

Age is 48 years (fails primary rule 2 of <= 45). Check Clause (b): Candidate is an Ex-serviceman, granting up to 5 years relaxation (48 - 5 = 43, which falls within the eligible range). All other primary criteria are satisfied (Master's 68%, 10 years experience, 78% leadership score). Clause (b) applies.

Ex-servicemen status provides age relaxation referral to the Executive Committee.

4

Evaluate Candidate S against primary rules and exception clauses.

Age is 36 years (valid). Master's score is 65% (valid). Leadership score is 82% (valid). General PSU experience is 4 years (fails primary rule 3 of >= 7 years). Check Clause (c): served 4 years as Deputy Director in State Secretariat. Clause (c) applies.

Specific administrative role experience in the Secretariat overrides general PSU length requirements via referral to the Board Chairman.

Key Concept

Analytical Decision Making and Criteria Selection

Question 670Question →

Four election observers—Varun, Tarun, Samir, and Reena—are assigned to monitor four distinct districts: District W, District X, District Y, and District Z, such that each observer is assigned to exactly one district.
- Varun is assigned to District Z.
- Samir is assigned to District W.
- Tarun is not assigned to District W or District X.

Match each election observer in List I with their corresponding assigned district in List II.

Click a left item, then click its matching right item

Show answer & explanation

Answer

Varun matches with District Z, Tarun matches with District Y, Samir matches with District W, and Reena matches with District X.

Direct clues establish that Varun monitors District Z and Samir monitors District W. By elimination, Tarun cannot monitor District W, District X, or District Z (which is taken by Varun), leaving District Y for Tarun. Finally, Reena takes the only remaining district, District X.

Step-by-Step Solution

1

Identify direct assignments from the given clues.

Varun is assigned to District Z, and Samir is assigned to District W.

These conditions are explicitly stated in the problem statement.

2

Determine Tarun's district using process of elimination.

Tarun is assigned to District Y.

Districts Z and W are taken by Varun and Samir respectively. Since Tarun cannot be assigned to District W or District X, the only available option for Tarun is District Y.

3

Assign the remaining observer to the remaining district.

Reena is assigned to District X.

With Districts W, Y, and Z occupied, District X is the only remaining option for Reena.

Key Concept

Analytical Grouping and Elimination

Question 671Question →

In a given alphanumeric sequence, each term consists of a letter and a number following distinct logical patterns:

Z4, U9, Q19, N39, L79, \dots

What is the next term in this sequence?

K159

J159

K157

L159

Show answer & explanation

Answer: K159

Answer

The term that logically completes the sequence is K159.

The correct answer combines the letter obtained from a diminishing positional shift (L minus 1 position equals K) with the number calculated via double-plus-one recursion (79 multiplied by 2 plus 1 equals 159).

Step-by-Step Solution

1

Analyze the alphabetical component shift pattern

Z (26) to U (21) is -5; U (21) to Q (17) is -4; Q (17) to N (14) is -3; N (14) to L (12) is -2.

Identifying the step interval between consecutive position numbers reveals a decreasing shift pattern (-5, -4, -3, -2).

2

Determine the next letter in the series

From L (12), subtract 1: 12 - 1 = 11, which corresponds to the letter K.

Following the decreasing shift pattern (-5, -4, -3, -2, -1), the next letter position is 11.

3

Analyze the numerical component progression

4 to 9: 4 × 2 + 1 = 9; 9 to 19: 9 × 2 + 1 = 19; 19 to 39: 19 × 2 + 1 = 39; 39 to 79: 39 × 2 + 1 = 79.

Each number term is calculated by multiplying the previous term by 2 and adding 1.

4

Compute the next numerical term

79 × 2 + 1 = 158 + 1 = 159.

Applying the recursive formula gives 159 for the sixth term.

Key Concept

Alphanumeric Series Completion with Decrementing Positional Shifts and Double-Plus-One Numerical Recurrence

Question 672Question →

Match each coded string in List-I with its corresponding original word and transformation logic in List-II.

Click a left item, then click its matching right item

Show answer & explanation

Answer

RVPERN pairs with PENCIL (Consonants +2; Vowels reversed); TDIWHM pairs with GARDEN (Consonants reversed; Vowels +3); GJPUFP pairs with FLOWER (Odd positions +1; Even positions -2); BMQSDM pairs with PLANET (Halves reversed; 1st half +1, 2nd half -1).

Each coded string strictly adheres to a unique multi-step rule: RVPERN uses consonant +2 shift and vowel reverse position; TDIWHM uses consonant reverse position and vowel +3 shift; GJPUFP uses alternating odd (+1) and even (-2) positional shifts; BMQSDM uses half-word reversal combined with +1 and -1 shifts respectively.

Step-by-Step Solution

1

Analyze RVPERN using vowel and consonant operations.

Checking PENCIL: Consonants P(+2)=R, N(+2)=P, C(+2)=E, L(+2)=N; Vowels E->V (27-5=22) and I->R (27-9=18). This forms RVPERN.

Identify pattern separating vowel and consonant rules.

2

Analyze TDIWHM using opposite letters for consonants.

Checking GARDEN: Consonants G->T, R->I, D->W, N->M; Vowels A(+3)=D, E(+3)=H. This forms TDIWHM.

Verify dual-rule application based on letter type.

3

Analyze GJPUFP using positional indexing.

Checking FLOWER: Odd positions (1,3,5) F->G, O->P, E->F (+1 shift); Even positions (2,4,6) L->J, W->U, R->P (-2 shift). This forms GJPUFP.

Verify alternating positional shift pattern.

4

Analyze BMQSDM using block reversal and directional shifts.

Checking PLANET: First half 'PLA' reversed is 'ALP', shifted +1 gives 'BMQ'. Second half 'NET' reversed is 'TEN', shifted -1 gives 'SDM'. Combining gives BMQSDM.

Verify half-word reversal and split directional shifts.

Key Concept

Complex Multi-Rule Coding and Decoding (Vowel/Consonant Dual Rules, Positional Shifts, Half-Reversals)

Question 673Question →

As the District Disaster Management Officer during a severe monsoon season, you receive an urgent report of rapidly rising water levels in a river threatening a low-lying residential settlement. Local community representatives urge you to permit an informal breach of a downstream embankment to drain water into nearby agricultural land without waiting for engineering approvals. Which of the following is the most appropriate action you should take?

Initiate immediate evacuation of residents to designated flood shelters while coordinating with irrigation engineers to safely manage controlled water discharge through official sluice gates.

Permit the local community representatives to cut the embankment immediately to avert flooding in the settlement without technical clearance.

Order the complete seal-off of the low-lying settlement with police barricades, preventing any movement until water recedes on its own.

Hand over full responsibility for crisis management to local community leaders and withdraw official disaster response personnel.

Show answer & explanation

Answer: Initiate immediate evacuation of residents to designated flood shelters while coordinating with irrigation engineers to safely manage controlled water discharge through official sluice gates.

Answer

Initiate immediate evacuation of residents to designated flood shelters while coordinating with irrigation engineers to safely manage controlled water discharge through official sluice gates.

The correct response combines immediate evacuation of endangered residents with technical coordination through irrigation engineers. In disaster management, administrative actions must prioritize public safety while following legal and technical protocols rather than taking unauthorized, risky shortcuts.

Step-by-Step Solution

1

Assess life safety requirements.

Identify the immediate need to move residents from the vulnerable low-lying area to safe emergency shelters.

Life safety is the primary priority in emergency response management.

2

Evaluate statutory and technical protocols for flood mitigation.

Reject unauthorized breaches of flood protection structures and involve qualified engineers for regulated sluice gate operations.

Unapproved structural interventions can cause catastrophic downstream failures and secondary disaster events.

3

Execute balanced administrative action.

Combine public evacuation with official, technical flood control measures.

Ensures swift, ethical, and legally compliant crisis containment.

Key Concept

Statutory Protocol and Evacuation Management in Flood Crises

Question 674Question →

As the District Magistrate overseeing post-disaster rehabilitation following severe flooding in a rural district, you must allocate limited administrative resources across competing operational demands. Based on established civil service administrative principles prioritizing immediate life safety, lifeline infrastructure, economic recovery, and long-term planning, arrange the following administrative interventions in order of decreasing priority (from highest priority to lowest priority).

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Answer

The correct sequence of administrative interventions from highest to lowest priority is: 1) Deploying mobile medical units and potable water tankers to control disease outbreak; 2) Restoring breached arterial roads and temporary bridges; 3) Distributing emergency agricultural inputs and financial relief; 4) Initiating a comprehensive structural vulnerability audit.

The correct priority ranking adheres to standard civil service disaster management hierarchy: active epidemic containment and life safety first, followed by repairing lifeline transport infrastructure to maintain relief supply lines, followed by time-sensitive agricultural livelihood recovery, and concluding with long-term policy and structural audits.

Step-by-Step Solution

1

Evaluate immediate life-safety threats.

Deploying medical units and clean drinking water directly mitigates active mortality risks from waterborne epidemics in relief camps, making it the top priority.

Public administration principles mandate that life-saving crisis response must precede all secondary administrative objectives.

2

Assess lifeline transport infrastructure needs.

Restoring breached roads and bridges ensures essential supply lines remain operational for humanitarian and medical aid.

Physical connectivity is a prerequisite for sustaining ongoing emergency relief operations across affected rural sectors.

3

Analyze time-sensitive economic recovery interventions.

Distributing agricultural inputs before the crop sowing window closes prevents long-term rural distress and food insecurity.

Economic rehabilitation prevents compounding secondary socio-economic crises once physical survival needs are secured.

4

Prioritize long-term governance and policy planning.

Conducting structural vulnerability audits and updating disaster plans ranks lowest in immediate operational priority.

Policy audits and long-term planning exercises must not divert immediate administrative resources during active recovery phases.

Key Concept

Administrative Triage and Sequential Resource Allocation in Disaster Management

Question 675Question →

Read the following two statements carefully:

Statement I: The state government announced an immediate financial compensation package for sugarcane farmers in the southern district.
Statement II: A severe unseasonal hailstorm destroyed the standing sugarcane crops across the southern district last week.

Which of the following options correctly describes the logical relationship between Statement I and Statement II?

Statement I is the cause and statement II is its effect.

Statement II is the cause and statement I is its effect.

Both statements I and II are independent causes.

Both statements I and II are effects of independent causes.

Both statements I and II are effects of a common cause.

Show answer & explanation

Answer: Statement II is the cause and statement I is its effect.

Answer

Statement II is the cause and statement I is its effect.

Statement II describes the severe hailstorm that destroyed standing crops, which is the immediate cause. Statement I describes the government announcing financial compensation for affected farmers, which is the direct consequential effect of the crop loss.

Step-by-Step Solution

1

Analyze Statement I

Statement I describes an administrative policy action (financial relief package for farmers).

Understand the event in the first statement.

2

Analyze Statement II

Statement II describes a natural phenomenon resulting in agricultural damage (hailstorm crop destruction).

Understand the event in the second statement.

3

Determine the cause-and-effect connection

The destruction of standing crops logically precedes and necessitates government compensation, making Statement II the cause and Statement I the effect.

Identify the primary directional flow of cause and effect between the two events.

Key Concept

Direct Cause and Effect Relationship

Estimated Time:45s

Question 676Question →

As the District Magistrate serving as the Incident Commander under the Disaster Management Act, you receive an urgent report regarding a landslide that has breached an upstream industrial chemical tailings pond. Toxic slurry is rapidly flowing toward a downstream village and an adjacent river that serves as the region's main drinking water source. Arrange the following administrative emergency response measures in the correct operational sequence according to standard disaster response protocols, from first to last.

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Answer

The correct operational sequence prioritizes immediate life safety first, followed by hazard containment, medical/relief care, and finally statutory reporting: 1) Issuing emergency warnings and evacuating downstream residents, 2) Shutting down water intakes and deploying containment dikes, 3) Establishing medical triage units and relief camps, and 4) Constituting an expert technical committee and submitting statutory reports.

In standard emergency management protocols under the Disaster Management framework, action sequencing strictly follows a functional hierarchy: immediate life safety and public warning takes primary precedence, followed by active physical containment and infrastructure protection, followed by post-evacuation relief and medical stabilization, and concluding with administrative investigation and statutory reporting.

Step-by-Step Solution

1

Identify the immediate life-safety measure.

Activating alert sirens and evacuating at-risk villagers is the highest priority measure.

Standard disaster management principles mandate that life-saving actions take precedence over property, infrastructure, or administrative actions.

2

Determine the urgent containment and protection step.

Shutting down municipal water intake valves and building dikes isolates the toxic threat.

Preventing widespread environmental contamination and secondary health hazards (poisoned drinking water) must follow life evacuation immediately.

3

Establish humanitarian and medical stabilization operations.

Setting up triage medical facilities and running relief camps ensures ongoing victim care.

Once the active hazard spread is checked, the administration must stabilize evacuees with medical intervention and basic amenities.

4

Initiate administrative inquiry and statutory compliance procedures.

Forming an investigation committee and reporting to the State Authority closes the operational response framework.

Formal investigations and reporting are critical governance requirements that take place after emergency containment and relief operations are stabilized.

Key Concept

Hierarchy of Emergency Response Operations (Life Safety → Threat Containment → Relief & Stabilization → Statutory Inquiry)

Question 677Question →

Five state government departments—Agriculture, Defense, Education, Finance, and Health—are scheduled to present their annual budget proposals sequentially from 1st to 5th. Consider the following conditions:
1. The Agriculture Department presents immediately after the Finance Department.
2. The Health Department presents at some point before the Education Department, but does not present first.
3. The Defense Department presents fifth (last).
4. The Education Department presents at some point after the Agriculture Department.

Arrange the five departments in the correct sequential order of their presentation from 1st to 5th.

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Answer

The correct sequential order of presentation from 1st to 5th is: Finance Department, Agriculture Department, Health Department, Education Department, and Defense Department.

Defense is fixed in the 5th slot. The consecutive pair [Finance, Agriculture] must fill slots 1 and 2 because placing them in slots 2 and 3 would force Health into slot 1 (violating the constraint that Health cannot present first). With slots 1, 2, and 5 filled by Finance, Agriculture, and Defense respectively, Health and Education must fill slots 3 and 4 in that order to satisfy the requirement that Health presents before Education.

Step-by-Step Solution

1

Identify fixed position constraints

Defense Department is fixed in position 5.

Condition 3 explicitly states Defense presents fifth.

2

Analyze adjacent block requirements

Finance Department and Agriculture Department form an ordered adjacent pair [Finance, Agriculture].

Condition 1 states Agriculture presents immediately after Finance.

3

Determine valid placement for the block [Finance, Agriculture]

[Finance, Agriculture] must occupy positions 1 and 2.

If [Finance, Agriculture] occupied positions 2 and 3, Health would have to be in position 1 to precede Education, but Condition 2 prohibits Health from being first. If [Finance, Agriculture] occupied positions 3 and 4, Education could not be placed after Agriculture because position 5 is taken by Defense.

4

Assign remaining positions for Health and Education

Health Department takes position 3 and Education Department takes position 4.

Positions 1, 2, and 5 are occupied. Condition 2 requires Health to precede Education, so Health is 3rd and Education is 4th.

Key Concept

Analytical Puzzles and Grouping

Question 678Question →

A tier-2 heritage city is experiencing severe air quality degradation, largely attributed to 5,000 aging diesel mini-buses operated by small, individual private operators. The municipal corporation proposes an immediate policy to mandate zero-emission electric buses within six months. However, an administrative feasibility assessment highlights three major constraints: individual operators lack capital for EV purchases, charging stations are currently non-existent along feeder routes, and an abrupt transit shutdown would paralyze daily wage commuters. Which of the following policy implementation strategies represents the most balanced and administratively feasible course of action?

Adopt a phased transition policy offering concessional green loans and public-private charging hubs, while permitting compliant existing buses to operate until the end of their statutory service lifespan.

Issue an immediate administrative decree banning all diesel mini-buses within city limits after thirty days and impound non-compliant vehicles to achieve zero emissions strictly.

Scrap the public mini-bus network entirely and subsidize private electric two-wheelers for commuters, assuming individual motorized transport is superior for heritage city corridors.

Postpone all emissions regulations indefinitely, reasoning that local vehicle emissions are irrelevant because national industrial pollution levels are factually higher.

Show answer & explanation

Answer: Adopt a phased transition policy offering concessional green loans and public-private charging hubs, while permitting compliant existing buses to operate until the end of their statutory service lifespan.

Answer

The most administrative and socio-economically feasible strategy is to adopt a phased transition policy offering concessional green loans and public-private charging hubs while permitting compliant existing buses to run until statutory retirement.

The choice advocating a phased transition policy offering concessional green loans and public-private charging hubs while permitting compliant existing buses to operate until the end of their service lifespan successfully balances financial feasibility, infrastructure readiness, and public interest. It ensures environmental compliance without causing economic collapse for operators or transit paralysis for wage workers.

Step-by-Step Solution

1

Analyze policy constraints and stakeholder dynamics.

Identified key bottlenecks: capital deficiency among operators, infrastructure deficit (lack of chargers), and risk of severe commuter disruption.

Effective policy feasibility requires addressing financial, technical, and social constraints simultaneously.

2

Evaluate policy alternatives against sustainability and administrative feasibility criteria.

The phased transition model provides financial support, allows infrastructure setup time, and avoids public transit paralysis.

Administrative decisions must balance long-term regulatory compliance with immediate social stability.

Key Concept

Public Policy Feasibility and Stakeholder Impact Analysis

Question 679Question →

Select the option that is related to the third number in the same way as the second number is related to the first number.

$13 : 160 :: 17 : ?$

272

320

353

576

Show answer & explanation

Answer: $320$

Answer

320

The relationship follows the dual-operation formula

(N - 1)^2 + (\text{digit sum of } N)^2

. For

13

,

(13-1)^2 + (1+3)^2 = 144 + 16 = 160

. Applying this to

17

gives

(17-1)^2 + (1+7)^2 = 16^2 + 8^2 = 256 + 64 = 320

.

Step-by-Step Solution

1

Analyze the relationship between the first pair of numbers (

13

and

160

).

Identify the multi-step pattern:

(x - 1)^2 + (\text{sum of digits of } x)^2

.

For

x = 13

, the predecessor is

13 - 1 = 12

, and

12^2 = 144

. The sum of the digits of

13

is

1 + 3 = 4

, and

4^2 = 16

. Adding these gives

144 + 16 = 160

.

2

Apply the identical multi-step rule to the third number (

x = 17

).

Find the squared predecessor and the squared digit sum for

17

.

The predecessor of

17

is

17 - 1 = 16

, and

16^2 = 256

. The sum of the digits of

17

is

1 + 7 = 8

, and

8^2 = 64

.

3

Sum the resulting values to determine the missing term.

256 + 64 = 320

.

Combining the squared predecessor and squared digit sum yields

320

.

Key Concept

Multi-Step Numerical Analogy based on Predecessor Squares and Digit-Sum Operations

Question 680Question →

Five departmental secretaries—Anand, Bhavna, Charan, Divya, and Esha—are ranked from 1st (highest) to 5th (lowest) based on their annual performance evaluation scores. Consider the following clues:
1. Bhavna is ranked higher than Esha but lower than Anand.
2. Exactly two secretaries are ranked between Anand and Divya, with Anand holding a higher rank than Divya.
3. Charan is ranked immediately below Bhavna.
4. Divya is not ranked 5th.

Arrange the five secretaries in sequence from the highest rank (1st) to the lowest rank (5th).

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Answer

The correct order of secretaries from highest rank (1st) to lowest rank (5th) is Anand, Bhavna, Charan, Divya, and Esha.

The sequence Anand -> Bhavna -> Charan -> Divya -> Esha uniquely satisfies all clues: Anand (1st) and Divya (4th) have two secretaries between them, Divya is not 5th, Bhavna (2nd) and Charan (3rd) form an immediate consecutive pair, and Esha takes 5th rank.

Step-by-Step Solution

1

Analyze the linear separation between Anand and Divya.

Since exactly two secretaries sit between Anand and Divya with Anand having a higher rank (lower number), the possible rank pairs for (Anand, Divya) are (1, 4) or (2, 5).

Positional gap requirement of 2 intervening positions.

2

Apply the boundary constraint for Divya.

Divya cannot be ranked 5th, which eliminates the (2, 5) configuration. Therefore, Anand is ranked 1st and Divya is ranked 4th.

Explicit negative clue eliminates candidate rank pair.

3

Place the consecutive pair of Bhavna and Charan.

The unassigned ranks are 2, 3, and 5. Since Charan is immediately below Bhavna, they must take adjacent slots (2, 3), placing Bhavna at 2nd and Charan at 3rd.

Contiguous block constraint requirement.

4

Assign Esha to the remaining rank and verify all conditions.

Esha takes rank 5. This maintains Bhavna (2nd) ranked higher than Esha (5th) and lower than Anand (1st).

Deterministic completion of linear ranking.

Key Concept

Analytical Puzzles and Grouping

Estimated Time:2m 0s

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