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AP Police Constable Exam  >  AP Police Constable Tests  >  AP Police Constable Mock Test Series 2025  >  AP Police Constable Mock Test - 9 - AP Police Constable MCQ

AP Police Constable Mock Test - 9 - AP Police Constable MCQ


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30 Questions MCQ Test AP Police Constable Mock Test Series 2025 - AP Police Constable Mock Test - 9

AP Police Constable Mock Test - 9 for AP Police Constable 2024 is part of AP Police Constable Mock Test Series 2025 preparation. The AP Police Constable Mock Test - 9 questions and answers have been prepared according to the AP Police Constable exam syllabus.The AP Police Constable Mock Test - 9 MCQs are made for AP Police Constable 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for AP Police Constable Mock Test - 9 below.
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AP Police Constable Mock Test - 9 - Question 1
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Pipe P can fill a tank in 120 minutes. If the efficiency of Pipe Q is half the efficiency of Pipe P, in how many minutes can both the pipes fill the tank together?

Detailed Solution for AP Police Constable Mock Test - 9 - Question 1


Hence, Option C is correct.

AP Police Constable Mock Test - 9 - Question 2
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The difference between a number and 12.50% of the same number is 252. What is 44.44% of the number?

Detailed Solution for AP Police Constable Mock Test - 9 - Question 2





Hence, Option A is correct.

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AP Police Constable Mock Test - 9 - Question 3
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The average of X natural numbers is 32. If 8 is added to the first number and 40 is subtracted from the last number, the average becomes 30. What is the value of X?

Detailed Solution for AP Police Constable Mock Test - 9 - Question 3

X × 32 + 8 – 40  = X × 30
2X = 32
X = 16
Hence, Option A is correct.

AP Police Constable Mock Test - 9 - Question 4
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What is the volume of a cuboid whose length, breadth and height are 20 cm, 4 cm and 8 cm respectively?
Detailed Solution for AP Police Constable Mock Test - 9 - Question 4

Volume of a cuboid = lbh
So the answer = 20 × 4 × 8 = 640 cm3
Hence, Option C is correct.

AP Police Constable Mock Test - 9 - Question 5
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The L.C.M. of three different numbers is 120. Which of the following cannot be their H.C.F.?
Detailed Solution for AP Police Constable Mock Test - 9 - Question 5

We know that: 
LCM is the least common multiple of the given numbers whereas HCF is the highest common factor of those numbers.
Then, LCM is the multiplication of one common factor of the numbers and the other different factors of the numbers.
Write the LCM = 120 into factored form, that is
120 = 2 × 2 × 2 × 3 × 5
= 4(2 × 3 × 5)
⇒ 4 is the common factor of the numbers.
So, the HCF of three numbers is a multiple of 4.
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, ...
Therefore, 35 is not the multiple of 4, then 35 cannot be their HCF.

AP Police Constable Mock Test - 9 - Question 6
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If X kilogram rice costing Rs. 100/kg is mixed with Y kilogram rice costing Rs. 40/kg to get a mixture costing Rs. 80/kg, what is X : Y?
Detailed Solution for AP Police Constable Mock Test - 9 - Question 6


Reqd. ratio = 40 : 20 = 2 : 1
Hence, Option B is correct.

AP Police Constable Mock Test - 9 - Question 7
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If x > 0 and   , what is the value of x?
Detailed Solution for AP Police Constable Mock Test - 9 - Question 7

Given

Approach

  1. We can see that the terms on the left hand side of the equation are powers of 2.
    1. So, we will simplify the expression in powers of 2.
  2. So, we will get 2expression in x = 1. This is only possible if expression in x = 0 (as 2∘ = 1)
  3. We will equate the expression in x = 0 and use the constraint that x > 0, to find out the value of x.

Working Out

As x> 0, the only possible value of x = 2.

Answer: D

AP Police Constable Mock Test - 9 - Question 8
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A man arranges to pay off a debt of ₹3600 in 40 annual installments which form an Arithmetic Progression (A.P). When 30 of the installments are paid, he dies leaving one-third of the debt unpaid . Find the value of the first installment.
Detailed Solution for AP Police Constable Mock Test - 9 - Question 8

Let us assume the first installment is a and difference between two consecutive installments is d.
According to question,
Sum of 40 Installments = 3600
Apply the formula Sum of first n terms in an Arithmetic Progression = Sn = n/2[ 2a + (n?1)d ]
where a = the first term, d = common difference, n = number of terms.
n/2[ 2a + (n?1)d ] = 3600
Put the value of a, n and d from question,
40/2[ 2a + (40 ?1)d ] = 3600
20[ 2a + 39d ] = 3600
[ 2a + 39d ] = 3600/20 = 180
2a + 39d = 180...........................(1)
Again according to given question,
After paying the 30 installments the unpaid amount = 1/3(total unpaid amount) = 3600 x 1/3
After paying the 30 installments the unpaid amount = 1200
So After paying the 30 installments the paid amount = 3600 - 1200 = 2400
Sum of 30 installments = 2400
30/2[ 2a + (30 ?1)d ] = 2400
[ 2a + (30 ?1)d ] = 2400 x 2/30
2a + 29d = 80 x 2 = 160
2a + 29d = 160..........................(2)
Subtract the Eq. (2) from Eq. (1), we will get
2a + 39d - 2a - 29d = 180 - 160
10d = 20
d = 2
Put the value of d in Equation (1), we will get
2a + 39 x 2 = 180
2a = 180 - 78
a = 102/2
a = 51
The value of first installment = a = 51 

AP Police Constable Mock Test - 9 - Question 9
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0.002 x 0.5 = ?
Detailed Solution for AP Police Constable Mock Test - 9 - Question 9

⇒ (2/1000) × (5/10)

⇒ (10/10000)

⇒ (1/1000) = 0.001

∴ 0.002 x 0.5 = 0.001

AP Police Constable Mock Test - 9 - Question 10
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For the arrangements of the letters of the word INDIA, how many words would start with the letter I?
Detailed Solution for AP Police Constable Mock Test - 9 - Question 10

Since I is the first letter,

The remaining four letters ‘N, D, I and A’ will shuffle.

So the answer = !4 = 4 × 3 × 2 × 1 = 24

AP Police Constable Mock Test - 9 - Question 11
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39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?
Detailed Solution for AP Police Constable Mock Test - 9 - Question 11

Since 39 persons can repair a road by working 5 hours in a day in 12 days.
∴ 1 persons can repair a road by working 5 hours in a day in 39 x 12 days.
∴ 1 persons can repair a road by working 1 hours in a day in 39 x 12 x 5 days.
∴ 30 persons can repair a road by working 1 hours in a day in 39 x 12 x 5 / 30 days.
∴ 30 persons can repair a road by working 6 hours in a day in 39 x 12 x 5 / 30 x 6 days.
∴ 30 persons can repair a road by working 6 hours in a day in 39 x 2 x 1 / 6 days.
∴ 30 persons can repair a road by working 6 hours in a day in 39 x 1 x 1 / 3 days.
∴ 30 persons can repair a road by working 6 hours in a day in 13 days.

AP Police Constable Mock Test - 9 - Question 12
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In the given, AB || CD. Then X is equal to:
Detailed Solution for AP Police Constable Mock Test - 9 - Question 12

Through O, draw a line l parallel to both AB and CD. Then
∠1 = 45° (alt. ∠S)
and ∠2 = 30° (alt. ∠S)
∴ ∠BOC = ∠1 + ∠2 = 45° + 30° = 75°
So, X = 360° – ∠BOC = 360° – 75° = 285°
Hence X = 285°.

AP Police Constable Mock Test - 9 - Question 13
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A person deposited Rs. 48000 at 10% p.a. simple interest for 2 years and Rs. X at 10% p.a. simple interest for 4 years. If his overall interest is 25% of the overall amount, what is the value of X?
Detailed Solution for AP Police Constable Mock Test - 9 - Question 13

Interest of 2 years at 10% p.a. = 10% × 2 = 20%
Interest of 4 years at 10% p.a. = 10% × 4 = 40%

15% : 5% = 3 : 1

Hence, Option B is correct.

AP Police Constable Mock Test - 9 - Question 14
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Solve for b: −14+6b+7−2b=1+5b
Detailed Solution for AP Police Constable Mock Test - 9 - Question 14

−14+6b+7−2b=1+5b
−7+4b=1+5b
4b−5b=1+7
−b=8
b=−8

AP Police Constable Mock Test - 9 - Question 15
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A bet was placed between two friend ram and shyam to find out what will be the chance that a leap year selected at random contains 53 Fridays?
Detailed Solution for AP Police Constable Mock Test - 9 - Question 15

2/7 in a leap year there are 366 days means 52 weeks and 2days. So already we have 52 Fridays. Now the rest two days can be (Sunday, Monday), (Monday, Tuesday), (Tuesday, wed), (Wednesday, Thursdays), (Thursday, Friday), (Friday, sat), (sat, sun) so, the probability of 53 Fridays= 2/7
Option 3 is the correct answer

AP Police Constable Mock Test - 9 - Question 16
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The still water speed of a boat is 30 km/hr. It goes 28 km upstream in 1 hour 45 minutes. What is the downstream speed of the boat?
Detailed Solution for AP Police Constable Mock Test - 9 - Question 16

1 hour 45 minutes = 1.75 hours

Speed of stream = 30 – 16 = 14 km/hr
So the answer = 30 + 14 = 44 km/hr
Hence, Option D is correct.

AP Police Constable Mock Test - 9 - Question 17
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If an 800 meters long train crosses a pole in 25 seconds, what is the speed of the train?
Detailed Solution for AP Police Constable Mock Test - 9 - Question 17


Hence, Option C is correct.

AP Police Constable Mock Test - 9 - Question 18
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Pipe A can fill an empty tank in 6 hours and pipe B in 8 hours. If both the pipes are opened and after 2 hours pipe. A is closed, how much time B will take to fill the remaining tank?
Detailed Solution for AP Police Constable Mock Test - 9 - Question 18

Using Rule 1,
Part of tank filled by pipes A and B in 2 hours

Remaining part = 
This part is filled by pipe B.

AP Police Constable Mock Test - 9 - Question 19
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In a race of 200 m, A can beat B by 31 m and C by 18 m. In a race of 350 m, C will beat B by:
Detailed Solution for AP Police Constable Mock Test - 9 - Question 19

A : C = 200 : 182.


When C covers 182 m, B covers 169 m.
When C covers 350 m,         

Therefore, C beats B by (350 - 325) m = 25 m.            

AP Police Constable Mock Test - 9 - Question 20
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A and B invested Rs 20000 and Rs 30000 respectively and agreed to share profit in the ratio of their capitals. C entered into the partnership with the condition that profit would be divided between A, B and C in the ratio 3 : 4 : 3 for which he paid Rs 50000 as premium; in what ratio would the premium be divided among A and B?
Detailed Solution for AP Police Constable Mock Test - 9 - Question 20

Old ratio of A & B 20,000 : 30,000 = 2 : 3 (They share profit in the ratio of their capitals)
So A’s share is 2/5 and B’s share is 3/5
New Share of A will be in the ratio of 3 : 4 : 3 i.e. A = 3/10; B = 4/10 = 2/5
Now we have to find their sacrificing shares and then the ratio.
Now A’s sacrifice = Old share – New share =>>> 2/5 – 3/10 = 1/10, and B’s sacrifice = 3/5 – 2/5 = 1/5
Hence the ratio in which the premium is be divided between A and B is 1/10 : 1/5 = 1 : 2 (option ‘A’)

AP Police Constable Mock Test - 9 - Question 21
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A shopkeeper bought 360 eggs for Rs. 1800. If he sold all the eggs for Rs. 6 each, what is his overall profit/loss percentage?
Detailed Solution for AP Police Constable Mock Test - 9 - Question 21


Profit = 6 – 5 = 1

Hence, Option C is correct.

AP Police Constable Mock Test - 9 - Question 22
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Directions: Find the wrong term in the given series.

64      64      32      96      36      120      20
Detailed Solution for AP Police Constable Mock Test - 9 - Question 22


There should be 24 in place of 36.
Hence, Option C is correct. 

AP Police Constable Mock Test - 9 - Question 23
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A kite is flying at a tallness of 75 m from the level of ground, joined to a string slanted at 60° to the level. The string's length is:
Detailed Solution for AP Police Constable Mock Test - 9 - Question 23


Let AB be the kite and AC be the level ground
So that BC - AC.
At that point, ∠BAC = 60°and BC = 75m. Let AB = x meters.
Presently AB/BC = coses60° = 2/ √3
=> x/75 = 2/√3 => x = 150/√3 = 150 * √3/3 = 50 √3m.
∴ Length of the string = 50 √3m.

AP Police Constable Mock Test - 9 - Question 24
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A printer takes 0.012 seconds to print one alphabet. How long will he take to print the word ‘mathematics’?
Detailed Solution for AP Police Constable Mock Test - 9 - Question 24
It is just simple multiplication nothing else.
The word mathematics contains 11 words
according to ques each word will take exactly 0.012 second
So to print mathematics it will take 0.012×11 seconds that will be equal to 0.132 seconds. Therefore option C is correct. :-)
AP Police Constable Mock Test - 9 - Question 25
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There are 6 pink and 4 white balls in a bag. If two balls are drawn from the bag, what is the probability that both the balls are white?
Detailed Solution for AP Police Constable Mock Test - 9 - Question 25

Total balls = 6 + 4 = 10
Total white balls = 4
Selecting 2 white balls from four

Selecting 2 white balls from ten

AP Police Constable Mock Test - 9 - Question 26
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A flagstaff 17.5 meters high casts a shadow of length 40.25 meters. What will be the height of a building, which casts a shadow of length 28.75 meters under similar conditions?
Detailed Solution for AP Police Constable Mock Test - 9 - Question 26

According to question,
A shadow of length 40.25 meters is build for a height of 17.5 meters.
A shadow of length 1 meters is build for a height of 17.5 /40.25 meters.
A shadow of length 28.75 meters is build for a height of 17.5 x 28.75 /40.25 meters.
A shadow of length 28.75 meters is build for a height of 17.5 x 2875 /4025 meters.
A shadow of length 28.75 meters is build for a height of 17.5 x 575 /805 meters.
A shadow of length 28.75 meters is build for a height of 17.5 x 115/161 meters.
A shadow of length 28.75 meters is build for a height of 12.5 meters.

AP Police Constable Mock Test - 9 - Question 27
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The three equal circles touches each other externally. If the centres of these circles be A, B, C then ΔABC is ________
Detailed Solution for AP Police Constable Mock Test - 9 - Question 27

The figure is as follows:

Assuming, the radius of circle be r.
Then,
AB = BC = CA = 2r
So, all the three sides are equal of the triangle.
△ABC is an equilateral triangle.
Hence, the required answer is equilateral triangleequilateral triangle.

AP Police Constable Mock Test - 9 - Question 28
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Find the ratio in which line 3x + 2y = 17 divides the line segment joined by points (2,5) and (5,2). 
Detailed Solution for AP Police Constable Mock Test - 9 - Question 28


We assume that,

x1 = 2, y1 = 5, x2 = 5 & y2 = 2 Point C: (x,y)
Line divides the line segment in the ratio m1 : m2  
This is known as internal division.

Point C satisfies the equation of line.

AP Police Constable Mock Test - 9 - Question 29
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For this given AP 3, 1, -1, -3, find the values of a and d is:
Detailed Solution for AP Police Constable Mock Test - 9 - Question 29

a = 3
d = a(2) – a(1)
⇒ 1 – 3 = -2
⇒ d = -2

AP Police Constable Mock Test - 9 - Question 30
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√225 + √2304 = ? − (12)2
Detailed Solution for AP Police Constable Mock Test - 9 - Question 30

? = √225 + √2304 + (12)2 = 15 + 48 + 144 = 207

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