AP Police Constable Mock Test - 1 - AP Police Constable MCQ

Prime numbers between 1 and 30 →13, 17, 19, 23 and 29 (5)
Rest are prime numbers.
Total numbers 12 to 29 = 18
Total composite numbers = 13

Hence, Option A is correct.

Statement I: Correct

Statement II: Correct

Statement III: Incorrect

The sentence is erroneous due to the use of the word ‘loss’ and it should be replaced with ‘lose’. ‘Loss’ means 'an instance of losing, such as a defeat' when used as a noun. ‘Lose’ means 'to cause (something) to cease to be in one's possession or capability due to unfortunate or unknown circumstances, events or reasons' when used as a verb.

Hence, the correct answer is option D.

25 = √(15² + L²)
625 = 225 + L²
400 = L²
20 = L
So the answer = 20 cm
Hence, Option D is correct.

HCF = 12
Numbers = 12x and 12y
where x and y are prime to each other.
∴ 12x × 12y = 2160

= 15 = 3 × 5, 1 × 15
Possible pairs = (36, 60) and (12, 180)
Hence , Number of such possible pairs is 2.

Initial solution : Added Alcohol = 65% : 10% = 13 : 2

Hence, Option C is correct.

Here,
3x – 4y + 5 = 0
⇒  –4y = – 3x – 5

Compare it with, y = mx + c we get

Let us assume father age is F and his son age is S.
According to question,
The sum of the ages of father and his son is 4 times the age of the son,
F + S = 4S
F = 3S.............. (1)
Average age of father and son is 28.
(F + S)/2 = 28
F + S = 56
Put the value of F from equation from (1),
3S + S = 56
4S = 56
S = 14 years
Age of Son = 14 years.

I. 7x + 12y = 13 
II. 12x + 17y = 8
→ I × 12 – II × 7
12y × 12 – 17y × 7 = 13 × 12 – 8 × 7
25y = 100
y = 4
7x + 12 × 4 = 13 
x = – 5 
Answer: x < y
Hence, Option D is correct.

Formula used:
S_n = n/2(a + l)
l = a + (n − 1)d, where,
S_n = Sum of elements,
n  = number of elements.
a = First element,
n  = number of elements.
d  = difference between two consecutive elements.

Calculation:
Even numbers between 1 to 100 = 2, 4, 6, 8,....98, 100.
l = 100, a = 2, n = ?
According to the question,
l = a + (n − 1)d
⇒ 100 = 2 + (n - 1)2
⇒ n = 50
Now,
Sn = n/2(a + l)
⇒ Sn = 50/2(2 + 100) = 102 × 25 = 2,550
∴ The sum of all even numbers between 1 to 100 is 2550.

Using Rule 2,
Part of tank filled in 1 hour when all three pipes are opened simultaneously

Hence, the tank will be filled in 12 hours.

Let CP = 100x
SP = 75x

Hence, Option D is correct.

Hence, Option C is correct.

Let AB be the tower.

Then, APB = 30º and AB = 100 m.

 AP= (AB x √3) m
= 100√3 m
= (100 x 1.73) m
= 173 m.

Let numerator be x, then denominator = 11 – x.

⇒ 528 – 96x = 143 – 24x + x²

⇒ x² + 72x – 385 = 0

⇒ x² + 77x – 5x – 385 = 0

⇒ x(x + 77) − 5(x + 77) = 0

⇒ (x - 5) (x + 77) = 0 ⇒ x = 5

Denominator = 11 - 5 = 6

Difference = 6 - 5 = 1

A total o f 6 can be obtained by either (1 + 2 + 3) or by (2 + 2 + 2).

200 meters
The train can cover 800 – 500 meters in 60 – 40 seconds.

Length of the train = 15 × 40 – 500 = 100 meters
Hence, Option A is correct.

Using Rule 1,
Part of the cistern filled by both pipes in 1 hour

The cistern will be filled in 6 hours.

A : B = 100 : 75
B : C = 100 : 96.

= 100 : 72.
∴ A beats C by (100 - 72) m = 28 m.

You have to remember here that the profit given is for 8 months, so we’ll find the one month equivalent investments for 8 months, not for 12 months.
So, Arun’s 1 month equivalent investment = 8000*6
Kamal’s 1 month equivalent investment = 4000*8
Vinay’s 1 month equivalent investment = 8000*8
Hence the ratio of investments = 8,000*6 : 4,000*8 : 8,000*8 = 3 : 2 : 4.
Therefore Kamal’s share in the profit = Rs. 4005 x 2/9 = Rs 890 (option ‘A)

Let CP = 100
MP = 180

So the answer = 100 – 94.50 = 5.50%
Hence, Option D is correct.

There should be 4 in place of 3.
Hence, Option D is correct. 

Let the distance between the towers be X 
From the right angled triangle CFD 
Tan(45) =  (90 - 45)/X   
=> x = 45 meters

Using BODMAS, we get 2.79 after simplifying

Total numbers on a dice = 6
Prime numbers on a dice = 3 (2, 3 and 5)

Given in the question,
M₁ = 7 spiders , D₁ = 7 days , W₁ = 7 webs
M₂ = 1 spider , D₂ = ? , W₂ = 1 web
We know that ,

⇒ D₂ = 7 x 1 = 7 days .
Hence , 1 spider will make 1 web in 7 days.

From the given question, by using Pythagoras theorem, we get,

We need to find 
⇒AB² + BC² + CD² + DE²  
By putting the value from the equation (1), we get,
⇒ AC² + CD² + DE²
⇒ By putting the value from the equation (2), we get,
⇒ AD2 + DE²
By putting the value from the equation (3), we get,
⇒ AE²
Hence, the correct answer is AE².

Calculations
We can choose 6 people from a Volleyball team.
The no. of ways of choosing  6 Players from among 12 players is = ¹²C₆   

∴ Option (2) is the correct answer.

Key Points

• The concept of days succeeding each other is based on a seven-day cycle in which each day follows the next in a fixed order.
• If today is Wednesday, tomorrow would be Thursday.
• Thus, the day after tomorrow would be Friday, a day not listed among the options.
• Therefore, given the context and the understanding of the sequence of days in a week, 'none of the above' is the correct answer.

Therefore, the correct answer is Option 4, 'None of the above'.

Speed → A : B = 1000 : (1000 – 100) = 10 : 9
Hence, Option D is correct.