AP Police Constable Mock Test - 7 Free Online Test 2026

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.

Perimeter of the wheel

Hence, Option B is correct.

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

Option D is correct.

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

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.

In this case since we have to find the 99^th 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 99^th term from the end is -61. 

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

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

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.

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

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.

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

Hence, Option B is correct.

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,

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.

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

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

Hence, Option D is correct.

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

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

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

Selecting two consonants from 5

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.

Since DE || BC,

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

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.

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

Hence, Option D is correct.

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

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.