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AP Police Constable Mock Test - 5 Free Online Test 2026


Full Mock Test & Solutions: AP Police Constable Mock Test - 5 (200 Questions)

You can boost your AP Police 2026 exam preparation with this AP Police Constable Mock Test - 5 (available with detailed solutions).. This mock test has been designed with the analysis of important topics, recent trends of the exam, and previous year questions of the last 3-years. All the questions have been designed to mirror the official pattern of AP Police 2026 exam, helping you build speed, accuracy as per the actual exam.

Mock Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 180 minutes
  • - Total Questions: 200
  • - Analysis: Detailed Solutions & Performance Insights

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AP Police Constable Mock Test - 5 - Question 1

6 persons are sitting in a car. The average weight of all six persons is 72 kg and the average weight of the car and all six persons is 180 kg. What is the weight of the car?

Detailed Solution: Question 1

Weight of the car = (180 × 7 – 72 × 6) = 828 kg
Hence, Option B is correct.

AP Police Constable Mock Test - 5 - Question 2

The perimeter of a rectangle is 2/3rd of the perimeter of a square and the length of the rectangle is the same as the side of the square. What is the ratio of the length to the width of the rectangle?

Detailed Solution: Question 2


6l + 6b = 8l
6b = 2l
l : b = 3 : 1
Hence, Option B is correct.

AP Police Constable Mock Test - 5 - Question 3

Product of two co-prime numbers is 117. Then their L.C.M. is

Detailed Solution: Question 3

HCF of two-prime numbers = 1
∴ Product of numbers = their LCM = 117
117 = 13 × 9 where 13 & 9 are co-prime. L.C.M (13,9) = 117.

AP Police Constable Mock Test - 5 - Question 4

50-kilogram rice costing Rs. R/kg is mixed with 60-kilogram rice costing Rs. 80/kg to get a mixture costing Rs. 70/kg. What is the value of R?

Detailed Solution: Question 4

50 × R + 60 × 80 = 70 × (50 + 60)
50 × R + 4800 = 7700 
50R = 2,900
R = 58
Hence, Option B is correct.

AP Police Constable Mock Test - 5 - Question 5

If  then the value of a18 + a12 + a6 + 1 is

Detailed Solution: Question 5



On cubing both sides,


⇒  a6 + 1 = 0
∴  a18 + a12 + a6 + 1
= a12 (a6 + 1) + 1 (a6 + 1)
= (a6 + 1)(a12 + 1) = 0 

AP Police Constable Mock Test - 5 - Question 6

If 24 is subtracted from a number, it reduces to its four-seventh. what is the sum of the digits of that number ?

Detailed Solution: Question 6

Let us assume the number is n.
According to question,
If 24 is subtracted, it becomes 4/7 of the number.
n - 24 = n x 4/7
⇒ n - 4n/7 = 24
⇒ (7n - 4n)/7 = 24
⇒ 3n/7 = 24
⇒ 3n = 24 x 7
⇒ n = 24 x 7/3
⇒ n = 8 x 7
⇒ n = 56
Sum of the digits of the number = 5 + 6 = 11

AP Police Constable Mock Test - 5 - Question 7

Directions: In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer.
I. 3x + 3y = √1764
II. 7x – 5y = √1444

Detailed Solution: Question 7

I. 3x + 3y = √1764
3x + 3y = 42
x + y = 14

II. 7x – 5y = √1444
7x – 5y = 38
5 × I + II
12x = 70 + 38
x = 9
y = 14 – 9 = 5
x > y
Hence, Option A is correct.

AP Police Constable Mock Test - 5 - Question 8

If the 7th term of an AP is 20 and its 11th term is 40 then, what will be the common difference?

Detailed Solution: Question 8

Here 7th term = 20
11thterm = 40
Let the first term of the AP be a and common difference be d
T7 = a + (n – 1)d = 20
T7 = a + (7 – 1)d = 20
T7 = a + 6d = 20     (1)
T11 = a + (n – 1)d = 40
T11 = a + (11 – 1)d = 40
T11 = a + 10d = 40     (2)
Subtracting (1) from (2)
We get,
a + 10d – (a + 6d) = 40 – 20
4d = 20
d = 5 

AP Police Constable Mock Test - 5 - Question 9

There are two mixtures A and B of milk and water. The ratio of water to milk in Mixture A is 5 : 3 and the ratio of milk to water in Mixture B is 3 : 1. If 200 liters of both the mixtures are mixed, what is the percentage of water in the resultant mixture?

Detailed Solution: Question 9


Hence, Option D is correct.

AP Police Constable Mock Test - 5 - Question 10

If a + b + c = 6 and ab + bc + ca = 11, then the value of bc (b + c) + ca (c + a) + ab (a + b) + 3abc is

Detailed Solution: Question 10

a + b + c = 6 and ab + bc + ca = 11
∴  bc (b + c) + ca (c + a) + ab (a + b) + 3abc
= bc (b + c) + abc + ca (c + a) + abc + ab (a + b) + abc
= bc (a + b + c) + ca (a + b + c) + ab (a + b + c)
= (a + b + c) (bc + ca + ab)
= 6 × 11 = 66

AP Police Constable Mock Test - 5 - Question 11

The cost of 5 pens and 8 pencils is ₹31.What would be the cost of 15 pens and 24 pencils ?

Detailed Solution: Question 11

Cost of 5 pens + 8 pencils = ₹31
On multiplying by 3
15 pens + 24 pencils = 3 x 31 =
₹15 pens + 24 pencils = 93

AP Police Constable Mock Test - 5 - Question 12

Directions: In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer.
I. 144x2 = 16 + 20 
II. 20y = √169 – √9

Detailed Solution: Question 12

I. 144x2 = 16 + 20

II. 20y = √169 – √9
20y = 13 – 3
20y = 10

Answer: x ≤ y
Hence, Option B is correct.

AP Police Constable Mock Test - 5 - Question 13

log1010 + log10100 + log101000 + log1010000 + log10100000 is equal to ?

Detailed Solution: Question 13

= log1010 + log10100 + log101000 + log1010000 + log10100000
= 1 + 2 + 3 + 4 + 5
= 15 

AP Police Constable Mock Test - 5 - Question 14

Find the sum of the first 5 terms of the AP: 10, 6, 2…

Detailed Solution: Question 14

AP: 10, 6, 2, …
a = 10, d = - 4
Sum of first n terms = S(n) = (n/2) x [2a + (n – 1) x d]
S5 = (5/2) x [2 x (10) + (5 – 1) x (-4)]
= (5/2) x [20 + 4 x (-4)]
= (5/2) x (20 – 16)
= (5/2) x (4)
= 5 x 2
= 10

AP Police Constable Mock Test - 5 - Question 15

A train crosses an electric pole in 75 seconds. If the speed of the train is decreased by 25% and the length of the train is decreased by 80%, in how many seconds can it cross the same pole?

Detailed Solution: Question 15

Required time 

Hence, Option A is correct.

AP Police Constable Mock Test - 5 - Question 16

A tap can fill storage in 8 hours and another tap can discharge it in 16 hours. In the event that both the taps are open, the time taken to fill the tank will be:

Detailed Solution: Question 16

Net part filled in 1 hr = (1/8 ? 1/16) = 1/16
Total time taken to fill the tank = 16 hrs.

AP Police Constable Mock Test - 5 - Question 17

A can run 1 km in 4min. 50 sec. and B in 5 min. How many meters start A give B in a km race so that the race may end in a dead heat?

Detailed Solution: Question 17

Time taken by A to run 1 km = 290 sec.
Time taken by B to run 1 km = 300 sec.
A can give B a start of (300-290) = 10sec.
In 300 sec, B runs (1000/300*10) m = 100/3 m
∴ A can give B start of 100/3 m.

AP Police Constable Mock Test - 5 - Question 18

Jitesh started a business by investing Rs 50,000. After six months, Rahul joined her with a capital of Rs 80,000. After 3 years, they earned a profit of Rs 24,500. What was Jitesh’s share in the profit?

Detailed Solution: Question 18

Simran invested Rs 50000 for 36 months and Nanda invest Rs 80000 for 30 months
Jitesh’s one month equivalent investment = 50000*36
Rahul’s one month equivalent investment = 80000*30
Thus, ratio of their investments =  = 50000*36 : 80000*30 = 3 : 4
Therefore Jitesh’s share in the profit = 24500 x 3/7 = Rs 10,500 (option ‘D’)

AP Police Constable Mock Test - 5 - Question 19

A seller marked an article 60% above the cost price and earned a profit of 25%. What percentage discount does he allow on the article?

Detailed Solution: Question 19

Let CP = 100
MP = 160
SP = 125

Hence, Option D is correct.

AP Police Constable Mock Test - 5 - Question 20

Directions: Find the wrong term in the given series.

3      6      21      57      119      218

Detailed Solution: Question 20


There should be 56 in place of 57.
Hence, Option C is correct. 

AP Police Constable Mock Test - 5 - Question 21

A man standing at a point P is watching the top of a tower, which makes an angle of elevation of 30º with the man's eye. The man walks some distance towards the tower to watch its top and the angle of the elevation becomes 60º. What is the distance between the base of the tower and the point P?

Detailed Solution: Question 21

One of AB, AD and CD must have given.

So, the data is inadequate.

AP Police Constable Mock Test - 5 - Question 22

Ayush, Satyam and Mohak bought 8.5 litres, 7.25 litres and 9.4 litres milk respectively from a milk booth. If there was 30 litres of Milk in booth, find the quantity of milk left.

Detailed Solution: Question 22

Total milk bought =8.5l+7.25l+9.4l=25.15l

∴ Milk left in booth = 30l−25.15l = 4.850 liters

AP Police Constable Mock Test - 5 - Question 23

In a bag there are 12 black and 6 white balls. Two balls are chosen at random and the first one is found to be black. The probability that the second one is also black is:

Detailed Solution: Question 23

11/17 (if the first one is black, there will be 11 black balls left out of 17)

AP Police Constable Mock Test - 5 - Question 24

A tree is 12 m tall and casts an an 8 m long shadow. At the same time, a flag pole caste a 100 m long shadow. How long is the flag pole ?

Detailed Solution: Question 24

∵ 8 m shadow means original height = 12 m
∴ 1 m shadow means original height = 12/8 m
∴ 100 m shadow means original height = (12/8) x 100 m
= (6/4) x 100 = 6 x 25 = 150 m

AP Police Constable Mock Test - 5 - Question 25

AB = 8 cm and CD = 6 cm are two parallel chords on the same side of the centre of a circle. The distance between them is 1 cm. The radius of the circle is

Detailed Solution: Question 25

On the basis of question we draw a figure of a circle with centre O ,

Let OE = y cm
then OF = (y +1) cm
OA = OC = r cm
AE = 4 cm; CF = 3 cm
From ∆ OAE,
OA² = AE² + OE²
⇒ r² = 16 + y²
⇒ y² = r² – 16 ......(i)
From ∆OCF,
(y + 1)² = r² – 9 ..... (ii)
By equation (ii) – (i),
(y + 1)² – y² = r² – 9 – r² + 16
⇒ 2y + 1 = 7
⇒ y = 3 cm
∴ From equation (i),
9 = r² – 16
⇒ r² = 25
⇒ r = 5 cm

AP Police Constable Mock Test - 5 - Question 26

Sarthak can destroy a work in 90 days and Deepak can destroy the same work in 60 days. In how many days can both of them together destroy the work?

Detailed Solution: Question 26

Let total work be LCM of (90, 60) = 180 unit
Ratio of number of days by Sarthak and Deepak = 90 : 60 = 3 : 2
Ratio of efficiency of Sarthak and Deepak = 2 : 3
Total unit in one day = 2 + 3 = 5 unit
Number of days taken = 180/5 = 36 days 
Hence, Option B is correct.

AP Police Constable Mock Test - 5 - Question 27

The population of a village is 1200. 58.33% of the total population are males. 50% of males and 60% of females of the village are literate. What is the total illiterate population of the village?

Detailed Solution: Question 27


So the answer = (100 – 50)% of 700 + (100 – 60)% of 500 = 550
Hence, Option D is correct.

AP Police Constable Mock Test - 5 - Question 28

What is the average of all even numbers between 1 and 50?

Detailed Solution: Question 28

All even numbers between 1 and 50 = 2 to 48

Hence, Option D is correct.

AP Police Constable Mock Test - 5 - Question 29

What is the volume of a cylinder with 10 meters of diameter and 7 meters of height?

Detailed Solution: Question 29


Volume of the cylinder = πr2h

Hence, Option B is correct.

AP Police Constable Mock Test - 5 - Question 30

The LCM of two numbers is 1920 and their HCF is 16. If one of the number is 128, find the other number.

Detailed Solution: Question 30

Using Rule 1 :
1st number × 2nd number = L.C. M. × H.C.F,
We have,
First number × second number = LCM × HCF

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