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(d) Reverted gear train

Reverted gear train is that compound gear train, which is used to connect co-axial shafts.

Correct option is neutral

Correct option is A) Bob told me he would help me

Correct option is C) not to have enough of something when needed

Correct option is nap

Correct option is A) Having recognized

Every decision-making process starts with the problem or some discrepancy that exist between the desired and current state.

There is a desired state and an existing state. The difference between these two is the gap or problem that one must solve through the decision-making process.

The signs of shock are as under:  

1. Restlessness and nervousness 

2. Fast breathing 

3. Nausea, sometimes vomiting 

4. Weak pulse

a) Everyone has a role to play in a team, so the pressure to succeed is not on one individual 

b) It helps you to have a support system, as all team members help to fix any mistake made by one team member 

c) You feel good when the team achieves success and it builds your confidence 

d) The work gets done faster

Correct answer is  police

Correct option is D) takes up

Correct answer is  nurses

Medical receptionist

Correct option is: (C) \(\sqrt{\frac{s(s-b)}{ca}}\)

Correct option is: (A) tan3A

Number of prizes = 10 And number of blanks = 25.

Total numbers of tickets in the lottery = 10 + 25 = 35.

∴ Probability of getting a prize = \(\frac{Number\,of\,prizes}{Total\,number\,of\,tickets}\) = \(\frac{10}{35}=\frac{2}{7}.\)

Hence, the probability of getting a prize is \(\frac{2}{7}.\)

Single-celled organisms are called unicellular organisms. 'Uni-' means 'one,' so the name 'unicellular' literally means 'one cell. ' An example of a unicellular organism would be certain types of algae such as Euglena, green algae, as well as any prokaryotic organism such as most bacteria.

Answer: Carl Linnaeus
The binomial system of nomenclature was introduced by Carolus Linnaeus. In this system, he gave scientific names to plants and organisms in which the first part is 'genus' and the second part is 'species'.

• CARL LINNAEUS
• gave binomial nomenclature
• He gave significant names to plants and other organisms 
• Which consist of genus and species name 
• Ex : Mangifera indica FOR MANGO

Force is an external agent capable of changing the state of rest or motion of a particular body. It has a magnitude and a direction. The direction towards which the force is applied is known as the direction of the force and the application of force is the point where force is applied.

The Force can be measured using a spring balance.

The SI unit of force is Newton(N).

Arithmetic mean of (a – b) and (a + b) is \(\frac{(a-b)(a+b)}{2}=\frac{2a}{2}=a.\)

(∵ Arithmetic mean between a & b is given by \(\frac{a\,+\,b}{2}\))

Hence, the Arithmetic mean of (a – b) and (a + b) is a.

Solution:
96 = 2 x 2 x 2 x 2 x 2 x 3 = 2⁵ x 3
360 = 2 x 2 x 2 x 3 x 3 x 5 = 2³ x 3² x 5
=> LCM (96, 360) = 2⁵ x 3² x 5 = 1440

Since, HCF must be a factor of LCM. 

But 18 is not a factor of 760. 

Hence, it is not possible to have two numbers whose HCF is 18 and LCM is 760.

Solution: Every composite number can be expressed (factorised) as a product of primes and this factorisation is unique, apart from the order in which the prime factors occur. Yes. 

Justification: HCF of two numbers is always a factor of their LCM. But here 18 is a factor of 378. 

Hence, Two numbers can have 18 as their HCF and 380 as their LCM.

The correct answer is Kerala.

• The Silent Valley Movement was started in 1973 by an NGO led by school teachers and the Kerala Sastra Sahithya Parishad(KSSP) to save Silent Valley from being flooded by a hydroelectric project.
• In 1970 the Kerala State Electricity Board (KSEB) proposes a hydroelectric dam across the Kunthipuzha River that runs through Silent Valley, that will submerge 8.3 sq km of untouched moist evergreen forest.
• Silent Valley is an evergreen tropical forest in the Palakkad district of Kerala, India.
• The valley was declared as Silent Valley National Park in 1985.

• In 1973 Chipko movement, was started in the Himalayan regions of U.P. (now in Uttarakhand).
• The aim of this movement was forest conservation and increase social awareness and the need to save trees, increase ecological awareness, and demonstrate the viability of people power.
• Sunderlal Bahuguna and Gaura Devi are the key people of this movement. 
• Sunderlal Bahuguna gave the slogan "Ecology is the permanent economy".

Manpower planning helps in assessing: 

a. what kind of people are required- Every organisation needs the right person with the right qualifications, skills, experience and aptitude to work. So, the organisation should be clear to know as to what kind of personnel is required as per the nature of business activity 

b. How many people are required- They should also estimate the number of personnel required keeping in mind the total work and survival in the present situation and planning for future growth. 

c. How to procure personnel - The next step is to recruit, select and train the right personnel.

The correct answer is grape cultivation.

• Viticulture is the scientific study of grapes, most often with a focus on growth and production.
• When the grapes are being used specifically for wine production, the study of grapes can also be called viniculture.
• Both viticulture and viniculture fall under the umbrella of horticulture.
• The most common grapevine Vitis vinifera has been cultivated and fermented by humans since the neolithic era.
• The Greek historian Thucydides observed that the growth of civilization in the Mediterranean coincided with the cultivation of grapes.

We have 

s² + as + b = t; 

t² + at + b = s: 

This gives 

(s² - t²) + a(s - t) = (t - s). 

Since s ≠ t, we obtain s + t + a = -1. Adding the equations, we obtain s² + t² + a(s + t) + 2b = (s + t). 

Therefore 

(s + t)² - 2st + a(s + t) + 2b = (s + t). 

Using s + t = -(1 + a), we obtain 

(1 + a)² - 2st - a(1 + a) + 2b = -1 - a. 

Simplication gives st = 1 + a + b = P(1). This shows that x = 1 is a root of x²+ ax + b - st = 0. 

Since the product of roots is b - st, the other root is b - st.

Choose x = 2^4r and y = 2^3r. Then the left side is 2^12r+1. If we take z = 2^k, then we get 2^12r+1 = 2^31k. Thus it is suffcient to prove that the equation 12r + 1 = 31k has innitely many solutions in integers. Observe that (12 x 18) + 1 = 31 x 7. If we choose r = 31l + 18 and k = 12l + 7, we get 

12(31l + 18) + 1 = 31(12l + 7); 

for all l. Choosing l ∈ N, we get innitely many r = 31l + 18 and k = 12l + 7 such that 12r + 1 = 31k. Going back we have innitely many (x, y, z) of integers satisfying the given equation.

Observe that 

P(-1) = 1 - a + b, P(0) = b; P(1) = 1 + a + b. 

The given condition gives 

2b² = (1 - a + b)² + (1 + a + b)² = 2(1 + b)² + 2a² = 2 + 4b + 2b² + 2a². 

Hence a² + 2b + 1 = 0. Observe 

1 + a² + b₂ + 2a + 2b + 2ab = (1 + a + b)² ∈ Z. 

But 1, b^2, 2a² +4b are all integers. Hence 4a+4ab ∈ Z. This gives 16a²(1+b)² is an integer. 

But a² = -(2b + 1). Hence 16(2b + 1)(1 + b)² is an integer. But 

16(2b + 1)(1 + b)² = 16(1 + 4b + 5b² + 2b³). 

Hence 16b(4 + 2b²) is an integer. If b = 0, then b is an integer. Otherwise, this shows that b is a rational number. Because b² ∈ Z, it follows that b is an integer. Since a² = -(2b + 1), we get that a² is an integer. Now 4a(1 + b) ∈ Z. If b ≠ -1, then a is rational and hence a is an integer. If b = -1, then we see that P(-1) = -a, P(0) = b = -1 and P(1) = a. Hence a², 1, a² is an AP. This implies that a² = 1 and hence a = ±1.

x = p²q³

and y = p³q

HCF(x, y) = HCF (p²q³, p³q) = p²q

LCM(x, y) = LCM (p²q³, p³q) = p³q³

(1) Why do the people suffer from indigestion problems ? 

(2) Why do we get vomitings ? 

(3) Why do we get belching ? 

(4) Why do we get ulcers in stomach ? 

(5) What is acidity ?

a. emotional support

Correct option is D) initiate

Correct option is B) nearly

Correct option is E) low