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AP Police Constable Exam  >  AP Police Constable Tests  >  AP Police Constable Mock Test - 7 - AP Police Constable MCQ

AP Police Constable Mock Test - 7 - AP Police Constable MCQ


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30 Questions MCQ Test - AP Police Constable Mock Test - 7

AP Police Constable Mock Test - 7 for AP Police Constable 2024 is part of AP Police Constable preparation. The AP Police Constable Mock Test - 7 questions and answers have been prepared according to the AP Police Constable exam syllabus.The AP Police Constable Mock Test - 7 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 - 7 below.
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AP Police Constable Mock Test - 7 - Question 1
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The average of 31 numbers is 57. The average of the first 10 numbers is 50 and that of the last 20 numbers is 61. What is the 11th number?

Detailed Solution for AP Police Constable Mock Test - 7 - Question 1

Last 20 number = 12th to 31st
So remaining is 11th number.
So the answer = 31 × 57 – 10 × 50 – 20 × 61 = 47
Hence, Option D is correct.

AP Police Constable Mock Test - 7 - Question 2
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How many rotations of a wheel with a 21 m radius are required to cover a distance of 6.60 km?

Detailed Solution for AP Police Constable Mock Test - 7 - Question 2

Perimeter of the wheel

Hence, Option B is correct.

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AP Police Constable Mock Test - 7 - Question 3
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The HCF of two numbers is 23 and the other two factors of their LCM are 13 and 14. The larger of the two numbers is :

Detailed Solution for AP Police Constable Mock Test - 7 - Question 3

Let the numbers be 23x and 23y where x and y are co-prime.
∴ LCM = 23 xy
As given,
23xy = 23 × 13 × 14
∴ x = 13, y = 14
∴ The larger number = 23y
= 23 × 14 = 322

AP Police Constable Mock Test - 7 - Question 4
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In a mixture, the ratio of milk to water is 3 : 2. If the quantity of milk is 17 liters more than the quantity of water, what is the total quantity of the mixture?
Detailed Solution for AP Police Constable Mock Test - 7 - Question 4


Option D is correct.

AP Police Constable Mock Test - 7 - Question 5
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If  then the value of  is equal to
Detailed Solution for AP Police Constable Mock Test - 7 - Question 5

AP Police Constable Mock Test - 7 - Question 6
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The sum of three numbers is 300. If the ratio between first and second be 5:9 and that between second and third be 9:11, then second number is
Detailed Solution for AP Police Constable Mock Test - 7 - Question 6

Let us assume the ratio factor is x.
Then the three numbers be 5x , 9x and 11x respectively.
Then according to question,
5x + 9x + 11x = 300
⇒ 25x = 300
⇒ x = 12
So, the second number is 9x = 9 x 12 =108

AP Police Constable Mock Test - 7 - Question 7
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Directions: In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer.
I. x2 + x – 20 = 0 
II. 4y2 – 34y + 72 = 0
Detailed Solution for AP Police Constable Mock Test - 7 - Question 7

I. x2 + x – 20 = 0
x2 + 5x – 4x – 20 = 0
x = 4 and – 5
II. 4y2 – 34y + 72 = 0
4y2 – 18y – 16y + 72 = 0

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

AP Police Constable Mock Test - 7 - Question 8
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What will be the 99th term from the end of the AP 500, 489, 478, 467… – 1139?
Detailed Solution for AP Police Constable Mock Test - 7 - Question 8

In this case since we have to find the 99th term from the end.
We will consider the first term to be -1139 and the common difference will be 11
Now, a = -1139, d = 11 and n = 99
T99 = a + (n – 1)d
T99 = -1139 + (99 – 1)11
T99 = -1139 + 1078 = -61
The value of 99th term from the end is -61. 

AP Police Constable Mock Test - 7 - Question 9
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Find the value of log49 16807 - log9 27 ?
Detailed Solution for AP Police Constable Mock Test - 7 - Question 9

= log4916807 - log927
= log72 75 - log32 33
=(5/2)log77 - (3/2)log33
=5/2 - 3/2
= 1 

AP Police Constable Mock Test - 7 - Question 10
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The first four terms of an AP whose a is 10 and d is 10 will be?
Detailed Solution for AP Police Constable Mock Test - 7 - Question 10

a = 10, d = 10
a(1) = a = 10
a(2) = a1 + d = 10 + 10 = 20
a(3) = a2 + d = 20 + 10 = 30
a(4) = a3 + d = 30 + 10 = 40

AP Police Constable Mock Test - 7 - Question 11
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The smallest number by which 136 must be multiplied so that it becomes a perfect square is
Detailed Solution for AP Police Constable Mock Test - 7 - Question 11

Resolve 136 into prime factors and make group of two of each prime factor

136 = 2 × 2 × 2 × 17

136 = (2 × 2) × 2 × 17

We find that 2 and 17 doesn't appear in group of two. So, 136 has to be multiplied with 34 to make it a perfect square.

AP Police Constable Mock Test - 7 - Question 12
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Detailed Solution for AP Police Constable Mock Test - 7 - Question 12

AP Police Constable Mock Test - 7 - Question 13
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In how many ways can the letters of the word WRISTWATCH be arranged?
Detailed Solution for AP Police Constable Mock Test - 7 - Question 13

Total letters = 10
W comes two times.
T comes two times.

AP Police Constable Mock Test - 7 - Question 14
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An industrial loom weaves 0.128 meters of cloth every second. Approximately, how many seconds will it take for the loom to weave 25 meter of cloth?
Detailed Solution for AP Police Constable Mock Test - 7 - Question 14

According to given question,
Since an industrial loom weaves 0.128 meters of cloth in 1 seconds.
∴ an industrial loom weaves 1 meters of cloth in 1 / 0.128 seconds.
∴ an industrial loom weaves 25 meters of cloth in 1 x 25 / 0.128 seconds.
∴ an industrial loom weaves 25 meters of cloth in 25 / 0.128 seconds.
∴ an industrial loom weaves 25 meters of cloth in 195 seconds.

AP Police Constable Mock Test - 7 - Question 15
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A 480 meters long train crosses a tunnel twice its length in 4 minutes. What is the speed (in km/hr) of the train?
Detailed Solution for AP Police Constable Mock Test - 7 - Question 15

Combined length = 480 × (1 + 2)
Total time = 4 × 60 = 240 seconds

Hence, Option B is correct.

AP Police Constable Mock Test - 7 - Question 16
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Two pipes A and B can separately fill a cistern in 60 minutes and 75 minutes respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 minutes. In how much time the third pipe alone can empty the cistern?
Detailed Solution for AP Police Constable Mock Test - 7 - Question 16

Let the third pipe empty the cistern in x minutes.
Part of cistern filled in 1 minute when all three pipes are opened simultaneously

According to the question,

AP Police Constable Mock Test - 7 - Question 17
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A runs  times as fast as B. If A gives B a start of 80 m, how far must the winning post be so that A and B might reach it at the same time?
Detailed Solution for AP Police Constable Mock Test - 7 - Question 17

Ratio of the speeds of A and B = 
Thus, in race of 5 m, A gains 2 m over B.
2 m are gained by A in a race of 5 m.
80 m will be gained by A in race of 
= 200 m.
∴ Winning post is 200 m away from the starting point.

AP Police Constable Mock Test - 7 - Question 18
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A, B and C invest ₹14000, ₹18000 and ₹24000 respectively to start a business. If the profit at the end of the year is ₹25480, then what is total share of A and B?
Detailed Solution for AP Police Constable Mock Test - 7 - Question 18

Ratio of profits = Ratio of investments = 14000 : 18000 : 24000 = 7 : 9 : 12
Let the profit of A, B and C be Rs.7x, Rs.9x, Rs.12x respectively.
Total profit = 7x+9x+12x = Rs.28x
Given, 28x = 25480
Therefore, Profit of A and B together = Rs.7x+9x = Rs.16x

AP Police Constable Mock Test - 7 - Question 19
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Vishal bought 60 pens for Rs. 5 each. If he earns an overall profit of Rs. 90, what is the selling price of each pen?
Detailed Solution for AP Police Constable Mock Test - 7 - Question 19

Total expenditure = 60 × 5 = Rs. 300
Total revenue = 300 + 90 = Rs. 390

Hence, Option D is correct.

AP Police Constable Mock Test - 7 - Question 20
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Directions: Find the wrong term in the given series.

13      82      144      199      243      288
Detailed Solution for AP Police Constable Mock Test - 7 - Question 20


There should be 247 in place of 243.
Hence, Option C is correct. 

AP Police Constable Mock Test - 7 - Question 21
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The horizontal distance between two towers is 90 m. The angular depression of the top of the first as seen from the top of the second which is 180 m high is 450. Then the height of the first is
Detailed Solution for AP Police Constable Mock Test - 7 - Question 21


=> (180 - h)/90 = Tan(45)
=> h = 90 m

AP Police Constable Mock Test - 7 - Question 22
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If then value of   is
Detailed Solution for AP Police Constable Mock Test - 7 - Question 22

The correct option is A.

As it does not follows the pattern in the other given options.

It is clear that the third alphabet in each word is the first in when rearranged.but not in case of A.

AP Police Constable Mock Test - 7 - Question 23
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Two letters are chosen from the word TEACHING. What is the probability that both the letters are consonants?
Detailed Solution for AP Police Constable Mock Test - 7 - Question 23

Total letters = 8
Total consonants = 5
Selecting two letters from 8

Selecting two consonants from 5

AP Police Constable Mock Test - 7 - Question 24
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If a quarter Kg of potato costs 60 paise, How many paise will 200 gm cost?
Detailed Solution for AP Police Constable Mock Test - 7 - Question 24

As we know that Quarter Kg = 250 Gram
According to question,
250 Gram of potato costs 60 paise.
∴ 1 Gram of potato costs 60 / 250 paise.
∴ 200 Gram of potato costs 60 x 200 / 250 paise.
∴ 200 Gram of potato costs 60 x 20 / 25 paise.
∴ 200 Gram of potato costs 60 x 4 / 5 paise.
∴ 200 Gram of potato costs 12 x 4 paise.
∴ 200 Gram of potato costs 48 paise.

AP Police Constable Mock Test - 7 - Question 25
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In the given figure, DE || BC if AD = 1.7 cm, AB = 6.8 cm and AC = 9 cm, find AE.
Detailed Solution for AP Police Constable Mock Test - 7 - Question 25

Since DE || BC,

AP Police Constable Mock Test - 7 - Question 26
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Find the value of k for which the lines 5x + 3y + 2 = 0 and 3x − ky + 6 = 0 are perpendicular.
Detailed Solution for AP Police Constable Mock Test - 7 - Question 26

The slope is the measure of the rise (or change in the y-axis) over the run (or change in the x-axis).
Let slope of lines are m1 and m2 respectively

When lines are perpendicular, then m1 × m2 = −1

k = 5

AP Police Constable Mock Test - 7 - Question 27
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What is the area of the largest square that can be made in a rectangle with 10 meters length and 4 meters width?
Detailed Solution for AP Police Constable Mock Test - 7 - Question 27

The side of the square must be the same as the breadth of the rectangle.
Side of the square = 4 meters
So the answer = 4 × 4 = 16 m2
Hence, Option D is correct.

AP Police Constable Mock Test - 7 - Question 28
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A man buys 2 different articles for Rs. 48,800. He sells one at 24% profit and the other at 20% profit. If he earns an overall profit of 21%, at what price did he sell the one that he sold at 24% profit?
Detailed Solution for AP Police Constable Mock Test - 7 - Question 28


CP → Sold at 24% profit : Sold at 20% profit = 3% : 1% = 3 : 1

Hence, Option D is correct.

AP Police Constable Mock Test - 7 - Question 29
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If  then the vlaue of xp + xq is :
(where p is an even number and q is an odd number)
Detailed Solution for AP Police Constable Mock Test - 7 - Question 29


⇒  x2 + 1 = –2x
⇒  x2 + 2x + 1 = 0
⇒  (x + 1)2 = 0
⇒  x = –1
∴  xp + xq
= (–1)p + (–1)q
= 1 – 1 = 0 

AP Police Constable Mock Test - 7 - Question 30
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Directions: In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer.
I. 4x + 2y = 38 
II. 3x – 5y = – 30
Detailed Solution for AP Police Constable Mock Test - 7 - Question 30

I. 4x + 2y = 38
II. 3x – 5y = – 30
→ I × 5 + II × 2
4x × 5 + 3x × 2 = 38 × 5 – 30 × 2
26x = 130
x = 5

Answer: x < y
Hence, Option D is correct.

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