MP Police SI (Technical) Mock Test - 1 - MP Police SI MCQ

Given:

HF is bisector of ∠DFG.

∠DFG = ∠EDF + ∠DEF ( An exterior angle of a triangle is equal to the sum of its two opposite non-adjacent interior angles.)

⇒ ∠DFG = 40° + 60° = 100°

Since HF is a bisector of ∠DFG, so ∠DFH = ∠HFG

Then ∠DFG = ∠DFH + ∠DFG

⇒ ∠DFG = ∠DFH + ∠DFH (∠DFH = ∠HFG)

⇒ ∠DFH

= 50°

∴ The value of ∠DFH is 50°.

The meter bridge works on the principle of Balanced Wheatstone bridge and the length of conductor is directly proportional to the resistance.

Wheatstone Bridge: In the below diagram, BD is Wheatstone Bridge when there is no current across it. This happens when:

Meter Bridge: It is an electrical instrument used to measure an unknown resistance.

It works on two principles, one is Wheatstone Bridge, and the other is 'direct proportionality relationship between length and resistance of a wire.'

Working of meter Bridge: AC is long resistance wire 100 cm long. Varying the position of tapping point B, the bridge is balanced.

Bridge Balanced means the galvanometer is showing zero resistance and the condition satisfying Wheatstone Bridge.

If B is the balanced position of bridge AB = l, BC (100 – l) so that,

Also, by condition of Wheatstone Bridge

Here, S is unknown resistance that can be measured with the help of the meter bridge. 

Therefore, we can say that the meter bridge works on the principle of Wheatstone Bridge and direct proportionality relationship between length and resistance of a wire.

Given:

Principal (P) Rs.

Rate of Interest (R)

Time (t) years

Formula:

According to the question,

The amount payable after years,

Rs.

The amount payable after years is Rs. .

Given:

Number of literate and illiterate peoples in a village is 5 : 2

From the above ratio

60% of literate and 40% of illiterate people are males

Let the number of literate and illiterate people in a village be 5a and 2a respectively

Number of Literate males = 

⇒ Number of Literate females = 

Number of illiterate males = 

⇒ Number of illiterate females = 

Required ratio = (Number of Literate females) : (Number of illiterate females)

∴ Required ratio = 

(1) Consider the longest chain and that chain should have the two double bonds. So, the parent chain has 9 carbons.

(2) Assign numbers such that the sum of the numbers of the double bonds must be least.

(3) At the second and the seventh positions, methyl groups are there.

So, IUPAC name is dimethyl nonadiene.

Given:

Cost of the first type of sugar Rs.

Cost of the second type of sugar Rs.

The selling price of mixture Rs.

Profit percentage

Formula used:

C.P S.P

The ratio between two variety of sugar be

C.P Rs. Rs.

∴ The ratio in which two varieties of sugar should be mixed is

The compounds that contain carbon are known as organic compounds. Most abundant organic compound on earth is cellulose.

Carbohydrates are grouped into monosaccharides, disaccharides and polysaccharides. Cellulose, a storage form of carbohydrate found in plants that humans cannot digest, is among the most plentiful of the carbohydrates worldwide. Cellulose is a polymer of linear polysaccharide, with several monosaccharide glucose units. The acetal linkage is beta which distinguishes it from starch. Human beings are unable to digest cellulose because there are no sufficient enzymes for breaking down beta-acetal linkages.

Given: An unbiased die is tossed twice.

In each case, the sample space is given by

Let event of getting a 4,5 or 6 on the first toss

Let event of getting a 1, 2, 3 or 4 on the second toss

As we know that, probability of an event is defined as the ratio of number of cases in its favour to the total number of cases

and

As we know that, if and are two independent events then

and are independent events

Given:

CP, oven Rs. mixer Rs. 4000

Formula used:

SP (oven) Rs.

SP (mixer) Rs.

Total profit Rs.

Required percentage

Given,

So,

So,

So,

And

Now, To find

Required answer is .

Given,

The percentage relative error in a physical quantity is given by

error

error

Given,

Current (I) = 0.5 A

Time (t) = 20 min = 20 × 60 sec = 1200 sec

Amount of electric charge (q) = current (I) × time (t) = 0.5 × 1200 = 600 C

According to the question,

MP of motorcycle = Rs. 45000

Discount = 5% of 45000

= Rs. 2250

Now, the price = 45000 - 2250

= Rs. 42750

Sales tax = 10% of 42750

= Rs. 4275

Net amount he has to pay = 42750 + 4275

= Rs. 47025

Given,

A solid metallic cuboid of dimensions cm cm cm

where cm, cm and cm

It is melted and recast into cubes of the same volume.

As we know,

The volume of cuboid

The total surface area of the cuboid

The volume of cube

The lateral surface area of cube

Where side of cube

according to the question,

cm

now,

The ratio is .

Given:

ΔABC ∼ ΔPQR

The perimeter ΔABC = 40 cm

The perimeter ΔPQR = 30 cm

AB = 2.8 cm

Using cross multiplication

∴ PQ = 2.1 cm

As we know that the dimension of Planck's constant =

The dimension of angular momentum =

The dimension of Linear momentum =

The dimension of Torque =

The dimension of Velocity =

Thus we can see that the dimension of Planck's constant is similar to angular momentum.

Initially: Pressure , volume , temperature, Mole

On then temperature heating becomes . After decreasing temperature :

Let pressure , volume , temperature

For case ideal, gas equation

and

Now,

,

Given:

Selling price Rs. 600

Discount

And Profit

Selling price Cost price

Selling price Marked price Discount

Discount

Let the market price be

And discount be

According to the question, we get

Now,

Market price Rs. 640

If

The cost price of the article is Rs.

A nucleotide is formed of nitrogen base, sugar and phosphate.

A nucleotide is composed of three distinctive chemical sub-units: a five-carbon sugar molecule, a nucleobase, (the two of which together are called a nucleoside) and one phosphate group. With all three joined, a nucleotide is also termed a "nucleoside mono-phosphate", "nucleoside di-phosphate" or "nucleoside tri-phosphate", depending on how many phosphates make up the phosphate group. The nucleobase molecule, also known as a nitrogenous base.

Given:

and

In the above figure, we know that:

CALCULATION:

Given volts, volts, volts, and

The given diagram is,

• From the above diagram, it is clear that this arrangement is a parallel combination of cells.
• The equivalent emf for the given arrangement is given as,

volts

volts

Given,

Let’s say, the first dark fringe formed at points A and C, and the central bright fringe at B. Here, the fringes formed on either side of the central fringe are symmetrical.

So, angle is the same for both fringes.

We have single slit diffraction formula,

....(i)

Where,

is the angle from the center of the wall to the dark fringe

is a positive integer

is the wavelength of light

is the width of the slit

For small values of

The, from figure

....(ii)

D is the distance from slit to screen.

The distance between points A and B = The distance between B and C =

Then, The distance between points A and C = 2

From equation (i) and (i), we get

For n = 1,

.....(iii)

By substituting the value of and in equation (iii), we get

Therefore, distance AC = 2 = 2×1.2 = 2.4 mm

In option , the oxidation state of metal Mn in is calculated as shown below:

Let us consider the oxidation state of metal Mn as . 

Since the overall charge on the complex is 0, the sum of oxidation states of all elements in it should be equal to 0.

Therefore, 

Therefore, the oxidation state of metal in is and similarly, the oxidation state of metal in is .

Similarly, in option , the oxidation state of metal Fe in is and similarly, the oxidation state of metal Cu in is .

In option the oxidation state of metal Fe in is and the oxidation state of metal Co in is also .

In option D the oxidation state of metal is is and the oxidation state of metal Co in is .

So, according to the individual oxidation state of each compound, the highest oxidation state of and is highest.

Thus, the compound of option has the highest oxidation state.

Given:

Sum, Rs.

Rate,

Time, years

Simple interest

For compound Interest,

Amount,

Amount Compound interest

For the first year, Simple interest and Compound interest will be equal

For Simple interest,

Simple interest

For Compound interest,

Amount,

Compound interest Amount Principle

Now,

Given:

for litres of milk Rs.

for litre of milk Rs.

We know that:-

Profit

Profit

for litres of milk Rs.

Profit Rs.

Profit

Profit (rounded off)

The given rectangle can be shown thus,

Since angle is acts as a hypotenuse, and also serves as one of the diagonals.

m, m and

Using Pythagoras Theorem,

m

The second diagonal will also be of the same length.