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Correct option is E) survive

Correct option is A) go off

Concept used:-

Trick for writing cube of a number.

Method & Calculation:-

• Write the cube of 3 & 9 in three digit form i.e. (027729)
• Now multiply all the digits within themselves i.e. (3 x 9) = 27
• Now multiply the result obtained from step (2) by 3. i.e. 27 x 3 = 81
• Now multiply 81 and 39 i.e. 81 x 39 = 3159
• Now keep the unit digit vacant and add 027729 & 3159 i.e. 027729 + 3159_ = 59319

Given:

The given number = 238328

Concept:

Calculation skills trick

Calculation:

Step(1):

First, we will take the digit at the unit’s place.

At the unit place, we have 8.

Step(2):

Now consider the cube table, the cube of which number has 8 at the unit digit place.

We see, 2 x 2 x 2 = 8.

Step(3):

That means the cube root of 238328 will have 2 at the unit place.

Step(4):

Now ignore the last 3 digits of 238328, i.e. 328

Step(5):

Taking 238 as a reference number, we can see from the cubes table 238 lies between cubes of 6 and 7.

Step(6): Here, we choose the lower number i.e. 6

∴ We get the two digit of the answer

∴ Cube root of 238328 = 62 

Calculation:

Let x be the fourth proportional

11 ∶ 121 = 33 ∶ x

⇒ 11 × x = 33 × 121

⇒ x = (33 × 121)/11

⇒ x = 363

∴ The fourth proportional is 363.

a. Sole proprietorship

Concept used:-

Trick for writing cube of a number.

Method & Calculation:-

• Write the cube of 1 & 9 in three digit form i.e. (001729)
• Now multiply all the digits within themselves i.e. (1 x 9) = 9
• Now multiply the result obtained from step (2) by 3. i.e. 9 x 3 = 27
•  Now multiply 27 and 19 i.e. 27 x 19 = 513
• Now keep the unit digit vacant and add 001729 & 513 i.e. 001729 + 513_ = 6859

Almost every embroidered garment has to undergo at least one or more finishing process before it is sold. 

The 4 finishing techniques are:

a) Bleaching- Bleaching is the process in which colour is removed with the help of chemical agents. 

b) Singeing: Singeing is the process of burning-off fibres which remains in the borer holes after boring. It is an expensive procedure.

c) Rinsing: In order to eliminate all chemical residues from the fabric. 

d) Dyeing: dyeing the material by soaking it in a colouring solution.

• Land is an area of ground, especially one that is used for a particular purpose such as farming or building.
• Land is the part of the world that consists of ground, rather than sea or air.
• When someone or something lands, they come down to the ground after moving through the air or falling.

Values are qualities and principles which make a person think and act in a certain way. Confidence, independence, perseverance, open-mindedness.

Lying with the front or face downward is called PRONE position

Moisturizers are used to keep skin SOFT & supple.

1. Easy, fast, accurate calculations 

2. Handle large volume of data

3. Easy transfer of data 

4. Use of graphs or charts any two.

Correct answer is  (b)\(\frac{P}{ρg}\) 

Helen Keller did a lot of work to help the blind all over the world. She was associated with the American Foundation for the Blind. She devoted almost 40 years of her life to make the lives beer of the blind. She believed that blind people, with just a little help, can lead independent lives and give much more to society than they will ever take.

1 coulomb is that quantity of electric charge which exerts a force of 9 x 10⁹ N on an equal charge placed at a distance of 1 m from it.

The electric dipole is a pair of two equal and opposite charges, +q and −q are separated by a very small distance. The algebraic sum of the charge on the dipole is zero and the electric field of the dipole is not zero, thus the electric field of dipole is added.

The electric dipole moment for a pair of opposite charges of magnitude q is defined as the magnitude of the charge times the distance between them and the defined direction is toward the positive charge.

Correct answer is b. Bottom 

When the water molecules are aligned in the direction of the electric field, it has minimum potential energy. The work done to rotate the dipole from θ = 0° to 90° is equal to the potential energy difference between these two configurations.

W = ΔU = U(90°) – U(0°)

As we know, U = -pE cos θ, Next we calculate the work done to rotate one water molecule from θ = 0° to 90°,

For one water molecule, W = – pE cos 90° + pE cos 0° = pE

W = 6.3 x10^-30 x 3 x 10⁵ = 18.9 x 10^-25

For 10²² water molecules, the total work done is 

W_tot = 18.9x 10²⁵ x 10²² = 18.9 x 10³ J

Paragraph can be used to break continuous text to one or more sentences.

Paranoid, Dependent, Obsessive

• Attenuation 
• Distortion (Harmonic) 
• Noise

Default tab stop position is 0.5”.

Upward communication is the flow of information from the subordinate to superiors or from employees to management. Without upward communication management works in a vacuum, not knowing if the message have been received properly or if other problems exits in the organisation. Down ward communication is the flow of information from the top of the organisational management hierarchy and telling people in the organisation what is important (mission) and what is valued (policies) Downward communication generally provides enabling information which allows a subordinates to do something eg. Instruction how to do the task.

Correct option: c. The main ingredient used for preparation of peda is khoya where as for petha is ash gourd.

What is kept on the table. 

A vegetable preparation in coconut milk and sour curd is Avial.

Correct option: c. A III, B IV, C I, D II

Correct answer is

c. Groundnut oil

A snack which can be served as savoury as well as sweet 

Kuzhi Paniyaram

Main Ingredients used in its preparation:

• Black lentils 
• Rice

Correct option: b. Maharashtra

\(\begin{array}{c|c}2 & 512 \\ \hline 2 & 256 \\ \hline 2&128\\\hline 2&64\\\hline2&32\\\hline 2&16\\\hline 2& 8\\\hline 2&4\\\hline 2&2\\\hline&1 \end{array}\)

\(((512)^\frac13)^\frac12\)

\( = ((2^9)^\frac13)^\frac12\)

\(= (2^3)^\frac12\)

\(= 8^\frac12\)

\(= (4 \times 2)^\frac12\)

\(= 2\sqrt2\)

he accounting cycle is a collective process of identifying, analyzing, and recording the accounting events of a company. It is a standard 8-step process that begins when a transaction occurs and ends with its inclusion in the financial statements.

236954 - a = 132641

236954 - 132641 = a

a = 104313

same.................

\(n (A \cup B) = n(A) + n(B) - n(A \cap B) \)

⇒ \(500 = 300 + n(B) - 50\)

⇒ \(n(B) = 500 - 250 = 250\)

Also,

\(n(B') = 350\)    (given)

⇒ \(n(U) - n(B) = 350\)

⇒ \(n(U) = 350 + n(B) = 350 + 250 = 600\)

To show: A∪(A∩B)=A
We know that
A⊂A
⇒A∩B⊂A
∴A∪(A∩B)⊂A ......(1)
Also, A⊂A∪(A∩B) ............(2)
∴ From (1) and (2),
 A∪(A∩B)=A

Given:

HCF = 17

LCM = 170

Sum of two numbers = 119

Concept used:

Product of two numbers = LCM × HCF

Calculation:

Let the two numbers be 'a' and 'b'.

⇒ a + b = 119

⇒ a = 119 - b

Product of two numbers = LCM × HCF

⇒ a × b = LCM × HCF

⇒ a × (119 - b) = 17 × 170

⇒ 119a - a² = 2890

⇒ a² - 119a + 2890 = 0

⇒ a = 34, 85

When a = 34, then b = 85

When a = 85, then b = 34

The possible value of a and b is 84 and 34.

Sum of inverse of a and b

⇒ (1/84) + (1/34)

⇒ 7/170

∴ The sum of inverse is 7/170. 

The product of HCF and LCM of two number is 119.

The two number if one of the number is not 1?

The product of HCF and LCM of two number is 119.

First we factor 119,

7  | 119

17 | 17

1    | 1

So, 119 is the product of three numbers 

We have given one number is not 1.

Which means the required numbers are 7 and 17.

Therefore, The two numbers are 7 and 17.

y = e^3x + x²

⇒ \(\frac{dy}{dx}\) = 3e^3x + 2x

⇒ \(\frac{d^2y}{dx^2}\) = 9e^3x + 2

⇒ \(\frac{d^2y}{dx^2}\) - 2 = 9e^3x

⇒ \(\frac{d^2y}{dx^2}\) - 2 = 9(y - x²) (∵ y = e^3x + x² ⇒ e^3x = y - x²)

Hence, proved.

A normal variate with mean μ = 0 and SD( σ) = 1 is called S.N.V. It is denoted by Z.

i.e., Z = \(\frac{x-μ }{σ}\) ~N(0, 1).

Type I error is taking a wrong decision to reject the null hypothesis (H₀) when it is actualy true.

Pure strategy of a player is the pre-determined decision / Rule to adopt a specified course of action irrespective of the course of action of the opponent.

Mixed strategy of a player is his pre-decision to choose his course of action according to certain pre-assigned probabilities.

The standard deviation of the sampling distribution of sample statistic is called standard error.

The set of those values of the test statistic which lead to the rejection of the null Hypothesis is called critical region, also called as rejection region.