MP Police SI (Technical) Mock Test - 5 - MP Police SI MCQ

Given,

The average weight of the students in a group = 75.4 kg

Let the total number of students be .

As we know,

Average

Total weight of all students

Next, we have that four students added to the class weighing 72.9 kg, 73.8 kg, 79.5 kg and 87.4 kg 313.6 kg

The total number of students will be .

The average weight is increased by

So the new average weight kg

Now,

Total weight of all students

Initially, the number of students in the group was 46.

Step : Write the given angles referring to given diagram.

Given .

Step : Use the geometric rules and property to find the value of .

For

radii of same circle

[angles opposite to equal sides are equal]

As,

For ,

radii of same circle

[angles opposite to equal sides are equal]

The value of is .

It is given that,

Speed of a person km/h and time hours

We know that,

Speed distance/time

Distance covered by the person in hours km

Let speed of bike be km/h.

km/h

Speed of the bus km/h

Given,

A does of a work in days.

As we know,

Efficiency

Let total work be units.

Then, efficiency of A unit day

He then calls in B and they together finish the remaining work in days.

So, remaining work units

Let the efficiency of B be units/day, then

units/day

Working alone B would take days

Concept:

Quadratic equation is ax² + bx + c

Discriminant D = b² - 4ac

D = 0 means two real and both are identical roots

Calculation:

Here, 3x² + 3 = 2kx

⇒ 3x2 − 2kx + 3 = 0

Compare with standard form ax² + bx + c

a = 3, b = -2k, c = 3

Discriminant D = b² – 4ac

⇒ D =(−2k)² − 4(3)(3) = 4k² − 36

For real and equal roots, D = 0

∴ 4k² − 36 = 0

⇒ 4(k² − 9) = 0

⇒ k² − 9 = 0

⇒ k = ±3

Titanium tetrachloride and triphenyl aluminum (Ziegler - Natta catalyst), , is used in the formation of high-density polythene (HDP). HDP is formed when addition polymerisation of ethene takes place in a hydrocarbon solvent in the presence of a catalyst at a temperature of and under a pressure of atmospheres.

Glyptal, Buna S, Nylon-, Dacron are copolymers because of the alternate chain.

A copolymer is a polymer derived from more than one species of monomer. The polymerization of monomers into copolymers is called copolymerization. Copolymers obtained by copolymerization of two monomer species are sometimes called bipolymers.

Given:

Average of all the four numbers

Average of the first three numbers Fourth number

Average of numbers

Let the fourth number be

Average of first numbers

Sum of first three numbers

Average of numbers

Sum of numbers

The sum of the first numbers

Difference of time = 11 minutes 45 seconds - 11 minutes = 45 seconds

Distance covered by sound in 45 seconds = Distance covered by train in 11 minutes

330 45 = 11 60 Speed of train

Speed of train = m/sec

= kmph

= 81 kmph

Given - The dimension of the power is

The equation is given

The dimension of A will be

Dimension of power

The dimension of A will be

Dimesion of

Similarly, the dimension of will be

Dimension of

The frequency heard by the listener when train is moving towards the listener is given by,

The frequency heard by the listener when train is moving away from the listener is given by,

And percentage change in frequency will be given by,

Percentage change

Percentage change

Given:

The ratio between the savings of and is . The difference between the savings of and is Rs. .

Now,

Let savings of and be Rs. and Rs. respectively.

The savings of Rs.

The savings of Rs.

Total savings of and Rs.

Average saving of A and B Rs.

Given,

The average age of class years

Two students who leave the class their ages are years and years respectively.

As we know,

Total age of class after both students leaves Total age of class Total age of two students who leave the class

Total number of students in the class

Total age of class years

Total age of two students who leave the class years

According to the question,

Total number of students in the class is

Nylon-6 is also called perlon. It is a polymer of caprolactam.

Given:

Proportion of 50 paise, 25 paise and 10 paise coins = 3 : 4 : 5

Total value of coins = Rs 12

Let the number of 50 paise coins be 3x, 25 paise coins be 4x and 10 paise coins be 5x.

According to the question,

⇒ Rs 12 = 12 × 100 = 1200 paise

⇒ (3x) × 50 + (4x) × 25 + (5x) × 10 = 1200

⇒ 150x + 100x + 50x = 1200

⇒ 300x = 1200

⇒ x = 4

Number of 25 paise coins = 4x = 4 × 4 = 16

Therefore, the total number of 25 paise coins in the bag is 16.

Acceleration is the rate of change of the velocity of an object.

Where v₂ is final velocity at time t₂ and v₁ is final velocity at time t₁.

By using the third equation of kinematics

Where s = displacement, u = initial velocity, a = acceleration and t = time.

We can clearly say that, at non-zero constant acceleration for a certain interval of time, the distance covered depend upon its initial velocity.

Ethylene on reaction with alkaline KMnO₄ is oxidized to Ethan-1,2-diol or Ethylene Glycol.

The pink color of Bayer's reagent is discharged in the process.

This is also proof of the presence of unsaturation in ethylene.

The reaction is as follows:

Thus, the product formed when Ethylene reacts with alkaline KMnO₄ is Glycol.

As we know,

Efficiency ratio is inversely proportional to time

Efficiency ratio of and

Efficiency of

Efficiency ratio of to

Total work units

Work done by in days units

∴ Remaining work units

∴ Time taken by and to complete units days

cm

m

v = Final velocity

m/s

Again,

s

The given relation,

By comparing both sides, we get

And

Number of permutations of letters of the word BHARAT, when B and H are never together

( keeping (BH) together and permuting with (A, R, A, T))

and number of permutations of the letters of the word BHARATwhen each word begins with (B) and ends with

Time period depends only on effective length. Density has no effect on time period. If length made times then time period becomes times.

Given:

The average of 20 numbers is 56.

Formula used:

Sum of observations = average × numbers of observations

Sum of all numbers = 56 × 20 = 1120

Later it was found that the number 10 was wrongly taken as 100

⇒ Correct sum = 1120 – 100 + 10 = 1030

∴ Correct Average =  =  = 51.5

The device used for producing electric current is called generator.

Generator:

• It’s a device that receives mechanical energy from an external source and converts it to electrical energy.
• It works on faradays law of electromagnetic induction.

PAN and Orlon are correctly matched. Polyacrylonitrile or PAN, also known as polyvinyl cyanide and Creslan 61, is a synthetic, semicrystalline organic polymer resin. Though it is thermoplastic, it does not melt under normal conditions. It degrades before melting.

As we know,

According to the given equations,

I.

II.

After a comparison of both equations, the conclusion is .

Given:

Number of students

Students in Students in

Average of the score in Mathematics of students in and

Average of students in section of students in section .

As we know,

Average

Let the students in section be

Students in section

Sum of the score of students

Sum of the score of students

Number of the students

Students in Section

Students in section

Let the average be ''.

Average of students in section of students in section

Average of students in section

The average score of students in is .

Given,
Solving it, we have:

Applying square root on both sides, we obtain:

Given:

x² + bx + c = 0

The roots of the equation are two consecutive integers.

As we know,

Quadratic equation = x² - (sum of roots)x + product of roots

x² + bx + c = 0 ---(1)

Let the roots are n, n + 1.

So, a quadratic equation will be,

x² - (n + n + 1)x + n(n + 1) = 0

⇒ x² - (2n + 1)x + n(n + 1) = 0

So,

⇒ b² - 4ac = (2n + 1)² - 4n(n+ 1)

∵ (a + b)² = a² + 2ab + b²

⇒ b² - 4ac = 4n² + 4n + 1 - 4n² - 4n

⇒ b² - 4ac = 1