MP Police Constable Official Paper (Held On 03 Nov, 2025 Shift 2) (Previous Year Paper)

If p + q = 11 and pq = 28, find the value of $p^2 + q^2 + pq$.

Which letter amongst the following alphabet is the 9th letter to the left of the 16th letter from the left?

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

Which part of the eye provides the major focusing power for the eye?

What choice does the winner of the coin toss get in a football match?

What is the term used for the natural aging of a lake by nutrient enrichment of its water?

Which district hosts the least number of fairs in Madhya Pradesh?

Two identical wires of resistance R are connected in series and then in parallel alternately. The ratio of equivalent resistances (series : parallel) is:

A number x is defined as follows: x = (5/12) + (7/24) + (9/48) + ($\sqrt{9}$ - 2). Which category does x belong to?

Point P is 7m west of point Q. Point S is 5m east of point R. Point Q is 4m south of point R. Point A is 9m west of point B. Point D is 4m west of point C. Point B is 5m north of point C.

What is the direction and distance of point S with respect to point D if point Q is 7m north of point A?

Complete the analogy.
Peacock : India :: Kangaroo : ?

Evaluate:

${(100 \div 25) + 13} \times (18 \div 6 - 2)$

Pointing to a woman, Tina said, "She is the wife of my mother's brother".

How is the woman related to Tina?

The potash alum aqueous solution is:

In a local cooperative society, member ages are 35, 40, 45, 40, 50, 55, 60, 40, 45, and 55. What is the mode of ages?

Four people Geeta, Hari, Iqbal, and Jiya attended a workshop on four different days from Monday to Thursday. Each person is from a different city: Agra, Bhopal, Chennai, or Delhi.

• The person from Delhi attended on Monday.

• Hari is from Agra and attended on Wednesday.

• Jiya attended on Thursday, but is not from Chennai.

• Geeta is not from Delhi.

Who is from Chennai?

Which pair illustrates the exception "$\Delta_{eg}H$ of the lighter 2p element is less negative than its heavier congener" owing to compact subshells?

Find the missing number in the series:

2, 3, 5, 8, 13, ?

The difference between the outer curved surface area and the inner curved surface area of a hollow cylinder of height 14 cm is 264 cm². If the sum of the radii is 19 cm, find the radii.

In which Indian state the Hornbill Festival is celebrated and what does 'Hornbill' signify?

Complete the analogy.

Architect : Building :: Sculptor : ?

A student gives a presentation. His shoulders are hunched, eyes down, and he avoids looking at the audience. What emotion is he most likely showing?

If $\cos \theta = 0$, then $\sin^2 \theta = ?$

Complete the following series:

SCD, TEF, UGH, ____, WKL

Read the Scenario and give appropriate answer:

You're the president of a student union. A popular club is accused of hazing new members. The club denies it, but several students have anonymously reported harm.

What should you do?

If @ means addition and * means multiplication, find 3 * 4 @ 2.

The perpendicular distance from the center of a circle to a chord is 5 cm. If the length of the chord is 24 cm, find the radius of the circle. Also, calculate the distance of another chord of length 18 cm from the center.

Under the Bharatiya Nyaya Samhita (BNS), 2023, which of the following provisions deals with "organized crime"?

A project requires either 12 workers at Rs. 20000 each or 8 skilled workers at Rs. 30000 each. Skilled workers complete tasks 40% faster. Which is the better decision based on cost per efficiency?

Eight malls are at a certain distance from each other. P is 8km north of Q, which is 6km west of R. T is 5km east of S, which is 7km north of R. V is 8km south of W. T is 7km north of U, which is 9km west of V.

What is the direction of W with respect to R?

By whom is the chief minister of a state appointed?

If your friend looks sad and is sitting alone, what should you do?

A toy costing Rs 400 is sold at Rs 360. What is the loss percentage?

Read the Scenario and give appropriate answer:

You're a chef in a busy restaurant. A junior cook makes a mistake that delays orders. The manager is upset and wants to fire them immediately.

What should you do?

Gross primary productivity minus ________ is the net primary productivity.

Choose the pair that least expresses a relationship similar to the given pair.

Knife : Cut

The Central Provinces and Berar state comprised which regions before reorganization in 1950?

The 'Raising and Accelerating MSME Performance' (RAMP) program is supported by:

NPCI is to Digital Payment as UIDAI is to _____?

In English Language, Rearrange the following parts to form a meaningful sentence:

(A) the report (B) key findings (C) highlighted (D) and recommendations

Select the option that does NOT belong to the same category as the others:

343, 512, 2197, 1331

A woman introduces a man as the son of the brother of her mother's only sister. How is the man related to the woman?

Statements:

No apple is banana.

Some bananas are mangoes.

All mangoes are grapes.

Conclusions:

I. No apple is mango.

II. Some bananas are grapes.

III. Some grapes are bananas.

Which conclusions follow?

In a power station, a DC generator is replaced by an AC generator. What is the major advantage in terms of power transmission?

Chords XY and ZW of a circle meet when extended at point T outside the circle. If XZ is a diameter and angle XTW = 60°, determine the angle YOW (angle at the center subtended by chord YW).

In a certain code, T6%U7 becomes V8%W9. How is J4%K5 coded?

Which metal reacts vigorously with cold water to produce hydrogen that catches fire immediately?

A histogram is drawn for daily wages (in INR) of workers in a textile mill with unequal class intervals: 0-50 (freq. 10), 50-100 (freq. 40), and 100-200 (freq. 60). Which class has the highest frequency density?

X is the son of Y, who is the brother of Z. How is X related to Z?

How can students avail the benefits of the Vikramaditya Nishulk Yojana in Madhya Pradesh?

In the following question, two statements are followed by four conclusions. You have to assume the given statements to be TRUE, even if they seem to be at variance with commonly known facts. Read the conclusions carefully and then decide which of the given conclusions logically follows from the statements.

Statements:

All A are B.

No B is C.

Conclusions:

A. No A is C

B. All A are C

C. Some C are B

D. Some A are C

Across a period from left to right, the number of valence electrons typically:

Which contraceptive method uses a mechanical barrier to prevent sperm from reaching the egg?

If the radius of a circle is 7 cm, what is the length of the diameter?

Ellora Caves : Maharashtra :: Great Living Chola Temples : ?

If WATER is coded as XBUFS, then TRAIN is coded as:

Since the early times, the people in Tamil Nadu have depended more on which type of irrigation system?

If a child's birthday is on a Sunday and they celebrate their next birthday 366 days later, on what day of the week will their next birthday fall?

Find the missing term in the series:

B, H, N, T, ?

Which of the following statement(s) is correct?

Statements:

1. In a heated discussion, shouting loudly proves confidence.
   
2. Expressing disagreement respectfully with facts shows EI.

If NUMBER is written as OTNAFQ, then how is FIGURE coded?

The average weight of 5 boys is 60 kg. If one boy weighing 75 kg leaves the group, what is the new average weight of the remaining boys?

A carton has dimensions 15 cm by 10 cm by 8 cm. Find its surface area in square cm.

A new team member is struggling to understand their tasks and is falling behind, affecting the team's progress. As a team leader, what is your first step?

Which of the following is a FALSE statement about monsoon in Madhya Pradesh?

Which position did Shankar Dayal Sharma hold in India?

Why is sexual maturation NOT always indicative of readiness for pregnancy?

Imagine you are an Indian entrepreneur in the post-1991 economic reform era. Which reform would most likely help you attract foreign investors to your startup?

Find the next pair in the series.

YX, WV, UT, SR, __?

Five students - Nisha, Rafiq, Om, Salma, and Tejas - travelled to different cities on the 1st, 3rd, 5th, 7th, and 9th of May. Rafiq travelled on the 5th. Nisha travelled two days after Rafiq. Om did NOT travel before Tejas. Salma did NOT go on the 3rd or 5th. Tejas did NOT travel on the 3rd. Who travelled on the 9th of May?

Which Indian state has the largest area under forests?

The electricity consumption of a factory for four years was 12000, 13200, 14520, and 15972 units. Estimate the consumption in the sixth year if the same trend continues.

Why is Ujjain in Madhya Pradesh referred to as a great seat of learning?

If $ = multiplication, % = addition, @ = subtraction, and # = division, then find 25 $ 4 % 10 @ 6 # 2.

Which one set of letters when sequentially placed at the gaps in the given letter series shall complete it ?

CDD_BD_BBCC_BC

The folklore of Dhola Maru originally belongs to which state?

Why does superconductivity make resistance zero?

In the general elections held in 1952, how many total seats were reserved for Madhya Bharat Vidhan Sabha?

A group of 4 workers can complete a road construction job in 15 days. If 6 workers are employed instead, in how many days will the work be finished, assuming equal efficiency?

A ball used in school cricket practice has a diameter of 10 cm. What is its volume in cubic centimetres?
(Use $\pi = 3.14$)

What is the $F_2$ ratio of recessive epistasis?

Which one of the following statements is/are CORRECT?

Statement I: The curved surface area of a right circular cylinder is 660 cm², and its height is 15 cm. Then the radius of the base is 7 cm.

Statement II: The total surface area of the cylinder is 902 cm².

Arrange the following sentences to form a coherent paragraph:

(P) He was very excited about the trip. (Q) Tom packed his bags. (R) He was going on a vacation to the mountains. (S) The next day, he started his journey.

Which phrase did Mendeleev use to describe the repeating pattern observed in properties?

The 'National SC-ST Hub' is implemented by which ministry and aims to:

A shopkeeper offers a 10% discount on the marked price and still earns a 20% profit. If the cost price is Rs. 450, find the marked price.

In a code, each capital letter is replaced by its position + 1. How is "B" coded?

Which franchise emerged victorious in the women’s division of the inaugural edition of the Global Indian Pravasi Kabaddi League held in 2025?

Which station code corresponds to Katni Junction in Madhya Pradesh?

A person walks 20 km north, 8 km east, 20 km south, and 4 km west. In which direction is he from the starting point?

Which number series is different from the others?

Which direction lies between North and East?

Which one set of letters, when sequentially placed at the gaps in the given letter series shall complete it?

x_z__yz__xyz__zxyzzz__

In a class of 55, Priya ranks 15th from the top. What is her rank from the bottom?

In which historical event did Rani Lakshmi Bai play a crucial role?

Read the Scenario and give appropriate answer:

While writing a report, you accidentally recorded the wrong time of an arrest. You only realize it after submitting it.

What do you do?

People: Zara, Divya, Sana, Ishan

House Colors: White, Purple, Green, Black

Associations: Engineer, Artist, Lawyer, Teacher

Residences: Kolkata, Jaipur, Chennai, Bengaluru

Clues:

1. Zara does not live in the Black house.

2. The one who is associated with Artist lives in the Purple house.

3. Sana resides in the Chennai.

4. Ishan is not associated with Lawyer.

5. The resident of the White house stays in the Kolkata.

6. The resident of the Purple house is not associated with Lawyer.

Question:In which colored house does Zara live?

Find the missing term in the series:

A, B, D, G, ?

Find the missing number in the series:

4, 11, 25, 53, ?

In a circuit, if the voltage is tripled and the resistance is doubled, the current will:

Pointing to a woman, Savitha said, "She is the wife of my mother's brother". How is the woman related to Savitha?