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MP Police SI (Technical) Mock Test - 8 - MP Police SI MCQ


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30 Questions MCQ Test - MP Police SI (Technical) Mock Test - 8

MP Police SI (Technical) Mock Test - 8 for MP Police SI 2024 is part of MP Police SI preparation. The MP Police SI (Technical) Mock Test - 8 questions and answers have been prepared according to the MP Police SI exam syllabus.The MP Police SI (Technical) Mock Test - 8 MCQs are made for MP Police SI 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for MP Police SI (Technical) Mock Test - 8 below.
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MP Police SI (Technical) Mock Test - 8 - Question 1

A right circular cone has same radius of base as a sphere. Also, they have equal volumes. Find the ratio of radius and height of the cone.

Detailed Solution for MP Police SI (Technical) Mock Test - 8 - Question 1

Let the radius and height of cone be and , respectively.

So, radius of sphere will be as well.

MP Police SI (Technical) Mock Test - 8 - Question 2

Direction: What should come in the place of question mark (?) in the following question?

Detailed Solution for MP Police SI (Technical) Mock Test - 8 - Question 2

Given expression:

∴ The value of ? is 4.

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MP Police SI (Technical) Mock Test - 8 - Question 3

In science, a push or a pull on an object is called as ________.

Detailed Solution for MP Police SI (Technical) Mock Test - 8 - Question 3

In science, a push or a pull on an object is called force.

Pressure - It is an expression of force exerted on a surface per unit area.

Gravitation - It is a force that exists among all material objects in the universe.

Force - A push or a pull on an object is called a force.

Friction - It is the force that opposes the relative motion between the two surfaces of objects in contact.

MP Police SI (Technical) Mock Test - 8 - Question 4

The LCM of two numbers is 225 and HCF is 15. If the one number is 45, find another number?

Detailed Solution for MP Police SI (Technical) Mock Test - 8 - Question 4

Let another number  

As we know,

LCM  H C F  Product of both the numbers

MP Police SI (Technical) Mock Test - 8 - Question 5

Nalini wants Rs. as compound interest on her investment of Rs. for years. At what rate of percentage should she invest?

Detailed Solution for MP Police SI (Technical) Mock Test - 8 - Question 5

Given:

Compound interest

years

We know that,

Where, Amount, Principal amount, Rate of interest, number of times its getting compounded, time

Now,

Taking cube root

Rate of interest is .

MP Police SI (Technical) Mock Test - 8 - Question 6

Speed of electron in first excited state of hydrogen atom is: ( c is speed of light)

Detailed Solution for MP Police SI (Technical) Mock Test - 8 - Question 6
The speed of the electron is given as

Planck's constant

permittivity of free space; charge
For first excited state,



speed of light
MP Police SI (Technical) Mock Test - 8 - Question 7

Simplify (5 × 5 × 5 × 5 × 5 )5 × (5 × 5 × 5)5 ÷ 5 = (125)?

Detailed Solution for MP Police SI (Technical) Mock Test - 8 - Question 7

MP Police SI (Technical) Mock Test - 8 - Question 8

HCF of   and is:

Detailed Solution for MP Police SI (Technical) Mock Test - 8 - Question 8

Given:

and

HCF by Prime Factorization Method

and

If we calculate the HCF of these two numbers

then we can see highest common factors are

Required HCF is

MP Police SI (Technical) Mock Test - 8 - Question 9

The half-life of a substance A following first-order kinetics is days. Starting with g of A, the amount left after days is:

Detailed Solution for MP Police SI (Technical) Mock Test - 8 - Question 9
Given:
The initial concentration of the substance, g
Half-life, days
Total time, days
We have to find out the amount of radioactive substance left after days.
We know that,
Radioactive decay follows first order kinetics. Thus, the amount of substance left after half-lives is given by the relation:
(ii)
Substituting the values of and in equation (ii), we get


Now,
Substituting the values of and in equation (i), we get

g
MP Police SI (Technical) Mock Test - 8 - Question 10

A cylindrical tube, open at both ends, is made of a metal sheet which is 0.5 cm thick. Its outer radius is 4 cm and length is 2 m. How much metal (in cm3) has been used in making the tube?

Detailed Solution for MP Police SI (Technical) Mock Test - 8 - Question 10

Given:

Thickness of tube is cm

Outer radius cm

Length of tube (height of tube) m cm

As we know,

Volume of cylinder

The volume of material used to make a cylindrical tube

Thickness

Where, External Radius, Internal Radius

We have cm

And thickness cm

So, Internal radius cm

Volume of material

The volume of material is cm.

MP Police SI (Technical) Mock Test - 8 - Question 11

In given ΔABC, AP is bisector of ∠BAC and AQ is perpendicular to BC, then ∠PAQ is equal to:

Detailed Solution for MP Police SI (Technical) Mock Test - 8 - Question 11

In ΔABC,

⇒ ∠ABC + ∠BAC + ∠ACB = 180°

⇒ 75° + ∠BAC + 35° = 180°

⇒ ∠BAC = 180° – 110°

⇒ ∠BAC = 70°

∴ ∠BAP = 35°

In ΔABQ,

⇒ ∠ABQ + ∠AQB + ∠BAQ = 180°

⇒ 75° + 90° + ∠BAQ = 180°

⇒ ∠BAQ = 180° – 165°

⇒ ∠BAQ = 15°

∴ ∠BAP = ∠BAQ + ∠PAQ

⇒ 35° = 15° + ∠PAQ

⇒ ∠PAQ = 20°

MP Police SI (Technical) Mock Test - 8 - Question 12

What is the significance of Heller's Test?

Detailed Solution for MP Police SI (Technical) Mock Test - 8 - Question 12

Heller's test is a chemical test that shows that strong acids cause the denaturation of precipitated proteins. Concentrated nitric acid is added to a protein solution from the side of the test tube to form two layers. A white ring appears between the two layers if the test is positive. It helps to detect the presence of protein in a patient's urine.

MP Police SI (Technical) Mock Test - 8 - Question 13

The IUPAC name of following compound is:

Detailed Solution for MP Police SI (Technical) Mock Test - 8 - Question 13

The priority of the functional groups is decided first.

  • Carboxylic group is the prior group and the suffix will be - oic acid.
  • There are 6 carbon atoms in the longest chain so the main alkane chain will be hexan.
  • In the 5th position, there is a carbonyl substitution so the prefix will be 5-oxo.
  • The IUPAC name becomes 5-oxohexanoic acid.

So, the IUPAC name of the compound  is 5-oxohexanoic acid.

MP Police SI (Technical) Mock Test - 8 - Question 14

Find the H.C.F. and L.C.M. of and .

Detailed Solution for MP Police SI (Technical) Mock Test - 8 - Question 14

H.C.F. of given fractions

L.C.M. of the given fractions

MP Police SI (Technical) Mock Test - 8 - Question 15

Find the compound interest on a sum of Rs. 2000 at 10% per annum for 1 year, compounded half-yearly.

Detailed Solution for MP Police SI (Technical) Mock Test - 8 - Question 15

Sum = Rs. 2000, Time = 1 year, Rate = 10%

Where, Amount, Principal, Time,

Compound interest and rate of interest

According to the question,

, years

MP Police SI (Technical) Mock Test - 8 - Question 16

Subtract 3 kg 178 g from 8 kg 350 g.

Detailed Solution for MP Police SI (Technical) Mock Test - 8 - Question 16

On substracting 3 kg 178 g from 8 kg 350 g= 8 kg 350 g - 3 kg 178 g = 5 kg 172 g

MP Police SI (Technical) Mock Test - 8 - Question 17
Three equal capacitors when connected in series provide capacitance. When in parallel, they provide a capacitance of__________.
Detailed Solution for MP Police SI (Technical) Mock Test - 8 - Question 17

Given that three equal capacitors in series provide capacitance.
Let all the capacitors are . So their effective capacitance when connected in series,


Each capacitors have capacity of .Effective capacitance when connected in parallel,

MP Police SI (Technical) Mock Test - 8 - Question 18

Which of the following are plasticisers ?

Detailed Solution for MP Police SI (Technical) Mock Test - 8 - Question 18

Plasticizers (UK: plasticisers) or dispersants are additives that increase the plasticity or fluidity of a material. The dominant applications are for plastics, especially polyvinyl chloride (PVC).

The properties of other materials are also improved when blended with plasticizers including concrete, clays and related products.

DOP (Dioctyl pthalate) used in flooring materials, carpets, notebook covers and high explosives, such as Semtex.

DBP (Di-n-butyl pthalate) used for cellulose plastics, food wraps, adhesives, perfumes and cosmetics.

MP Police SI (Technical) Mock Test - 8 - Question 19

A farmer took a loan for Rs. . It has to be paid with the following simple Interest per annum for year, per annum for year and per annum for year. Find the total amount, he paid to the bank after years.

Detailed Solution for MP Police SI (Technical) Mock Test - 8 - Question 19

Given:

Principal Rs.

year

year

year

We know that,

Simple Interest

Where,

Principal

Rate of Interest

Time period

Now, Substitute the values in the formula,

Simple Interest

Rs.

Total amount Simple Interest

Rs.

MP Police SI (Technical) Mock Test - 8 - Question 20

The total energy of the electron revolving round the nucleus is:

Detailed Solution for MP Police SI (Technical) Mock Test - 8 - Question 20

Total Energy of Electron = (Potential energy) + (Kinetic energy).

The potential Energy of electron is negative due to the reaction between the nucleus and electron and have a greater magnitude than Kinetic energy.

While K.E. is always positive due to the presence of the square of velocity. Therefore the total Energy is -ve.

So, the total energy of the electron revolving around the nucleus is less than zero.

MP Police SI (Technical) Mock Test - 8 - Question 21

The essential constituent of an amalgam is:

Detailed Solution for MP Police SI (Technical) Mock Test - 8 - Question 21

The essential component of amalgam is mercury .

It may be a liquid, or a solid, depending upon the proportion of mercury.

Silver-mercury amalgams are an important dental filling material used to fill teeth cavities.

In the extraction of gold from its ore the Gold-mercury amalgam is used widely.

MP Police SI (Technical) Mock Test - 8 - Question 22

Which of the following polymers can be used for lubrication and as an insulator?

Detailed Solution for MP Police SI (Technical) Mock Test - 8 - Question 22

Teflon is used for lubrication and as an insulator, and because Polytetrafluoroethylene (PTFE) reduces friction and because of high resistivity it works as a good insulator too. Teflon is manufactured by heating tetrafluoroethene with a free radical or pursue catalyst at high pressures. It has high flexural strength, even in low temperature, high electrical resistance, and a low coefficient of friction.

Where, is Polytetrafluoroethylene (PTFE) or Teflon.

MP Police SI (Technical) Mock Test - 8 - Question 23

Which fraction of 2 hours is 18 seconds?

Detailed Solution for MP Police SI (Technical) Mock Test - 8 - Question 23

Given,

hours sec seconds

∴ Required Fraction

MP Police SI (Technical) Mock Test - 8 - Question 24

If a system is isolated so that no external force acts on the system, then ____________.

Detailed Solution for MP Police SI (Technical) Mock Test - 8 - Question 24

Conservation of linear momentum:

  • As there is no net external force on the system or an isolated system, so momentum before the collision and after the collision will remain the same.
  • According to momentum conservation, if there is no external force on the system then the final momentum of any system is equal to the initial momentum of the system.

Linear Momentum before the collision Linear Momentum after the collision

So according to conservation of linear momentum, after collision neither object loses nor gain any momentum.

So, the correct option is net linear momentum remains unchanged.

MP Police SI (Technical) Mock Test - 8 - Question 25

Phenol on reduction with H2 in the presence of Ni catalyst gives:

Detailed Solution for MP Police SI (Technical) Mock Test - 8 - Question 25

Phenol is hydrogenated to cyclohexanol,

MP Police SI (Technical) Mock Test - 8 - Question 26

Direction∶ The given pie chart depicts the expenditure incurred in crores towards each sport.

In the given pie-chart, what will be the central angle of the sector representing football?

Detailed Solution for MP Police SI (Technical) Mock Test - 8 - Question 26

Total expenditure of all sports = 16 + 128 + 72 + 23 + 51 + 10 = 300 crores
Expenditure on football = 51 crores
300 crores represents = 360°
1 crore represents =
51 crores will represent = 1.2 × 51 = 61.2°

MP Police SI (Technical) Mock Test - 8 - Question 27

The H.CF of two numbers is 17 and their product is 4624, What is the sum of their reciprocals?

Detailed Solution for MP Police SI (Technical) Mock Test - 8 - Question 27

Given:

HCF and product of 2 numbers are 17 and 4624 respectively

Co prime numbers are those numbers that have only 1 as their common factor

Let the numbers be and ; (since 17 is their HCF)

The pairs possible following the condition of co-prime

The numbers are 17 and 272

Sum of their reciprocals

MP Police SI (Technical) Mock Test - 8 - Question 28

Electronic configuration of Cr is:

Detailed Solution for MP Police SI (Technical) Mock Test - 8 - Question 28

Electronic configuration of Chromium (Cr).

Cr- 1s2 2s2 2p63s23p64s13d5

MP Police SI (Technical) Mock Test - 8 - Question 29

The value of is:

Detailed Solution for MP Police SI (Technical) Mock Test - 8 - Question 29

Given:

MP Police SI (Technical) Mock Test - 8 - Question 30

The hardness of water is due to the presence of:

Detailed Solution for MP Police SI (Technical) Mock Test - 8 - Question 30

The hardness of water is due to the calcium and magnesium salts present in it.

Hard water is water that contains cations with a charge of +2, especially Ca2+ and Mg2+. These ions do not pose any health threat, but they can engage in reactions that developed hard water.

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