UP Police Constable Mock Test - 1 - UP Police Constable MCQ

B completes = 100% – 60% = 40% of the work

Hence, Option A is correct.

• A : B : C = 150 : 75 : 100 = 6 : 3 : 4
• A : B : C = 6 : 3 : 4
• 
• Hence, Option D is correct.

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. 

Concept:

If a, b, c are in HP then 

If a, b, c are in AP then 2b = a + c

A sequence of numbers is called a Harmonic progression if the reciprocal of the terms are in AP.

Calculation:

Given: 1/2,1/x,1/8 are in HP

The sequence  1/2, 1/x, 1/8 are in HP, so its reciprocals 2, x, 8 are in AP.

As we know, If a, b, c are in AP then 2b = a + c

⇒ 2x = 2 + 8

⇒ 2x = 10

∴ x = 5

Boys : Girls = 6 : 10
Boys = 6x and Girls = 10x
Total = 16x

Statement I:

x = 10
Strength of the class = 16x = 160

Statement II: No data about the number of boys or girls
So, statement I is alone sufficient but statement II alone is not sufficient.
Hence, option A is correct.

Given:
5 number are given 2, 5, 6, 7 and 8
Four-digit number without repetition
Formula used:
Permutation for no repetition 
Where n = total possible numbers
r = required number

Calculation:
Here the total possible number n = 5
And Required number r = 4
Applying the formula

⇒ 5!
⇒ 5 × 4 × 3 × 2 × 1 = 120
∴ There will 120 possible four-digit number.

Normal year jump +1 gain; Leap year jump +2 gain.

Sunday plus five days
Option 2 is the correct answer

Let the speed of stream = x km/hr
Speed of the boat in still water = 2x km/hr

16 = 4x

So the answer = 4 km/hr
Hence, Option B is correct.

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

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.

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.