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The correct answer is mental.

 Key Points

• The Ministry of Women and Child Development (MoWCD) and NIMHANS Bengaluru launched a Project’ in March 2022 with the goal of improving women’s mental health in India.
• The increasing ability of OSC (One-Stop Center) officials in terms of tools and procedures for One-Stop Centers, particularly those who have experienced violence and distress, with compassion and care.
• One-Stop Center performed admirably during the COVID time.
• There are already over 700 One-Stop Centers operating across the country.
• People who work in these one-stop shops will be taught how to appropriately operate the Self Defense Shaheed Women helpline and counsel.
• The advanced training programme will be delivered in all of the regional languages that they want to be able to com website dedicated to this, which contains a wealth of information on training.

Additional Information

• Ministry of Women and Child Development:
• ​The Department of Women and Child Development was set up in the year 1985 as a part of the Ministry of Human Resource Development to give the much-needed impetus to the holistic development of women and children.
• With effect from 30 January 2006, the Department has been upgraded to a Ministry.
• The Ministry of Women and Child Development, a branch of the Government of India, is an apex body for the formulation and administration of the rules and regulations and laws relating to women and child development in India.
• The current minister for the Ministry of Women and Child Development is Smriti Irani having held the portfolio since 31 May 2019.

The correct answer is '\(\bf \bar{C}+\bar{I}+c Y : :\)'.

Key Points 

• In an economy without a government, the ex-ante aggregate demand for final goods is the sum total of the ex-ante consumption expenditure and ex-ante investment expenditure on such goods, viz. AD = C + I.
• Aggregate demand for final goods can be written as

AD = \(\bar{C}+\bar{I}+c Y\)

• If the final goods market is in equilibrium this can be written as

Y = \(\bar{C}+\bar{I}+c Y\)

• where Y is the ex-ante, or planned, output of final goods.
• This equation can be further simplified by adding up the two autonomous terms, C and I, making it

Y = A + c.Y

• Where A = C + I is the total autonomous expenditure in the economy.
• In reality, these two components of autonomous expenditure behave in different ways.
• C, representing the subsistence consumption level of an economy, remains more or less stable over time.
• However, I have been observed to undergo periodic fluctuations.

• The shaded part represents people eat potatoes and eggs for dinner but NOT chickens.

 

• The number representing people eat potatoes and eggs for dinner but NOT chickens = 21.Hence, ‘21’ is the correct answer.

Given Statements: B > Y ≤ Z = A < X > O

Conclusions:

I. B > X → False (as B > Y ≤ Z = A < X → clear relation between B and X cannot be determined).

II.  Y < O → False (as in Y ≤ Z = A < X > O → clear relation between Y and O cannot be determined).

III.  Y < X → True (as in Y ≤ Z = A < X  → Because X is greater than A. A is equal to Z. Z is greater than Y. Hence X is greater than Y).

IV. A > O → False (as in A < X > O → clear relation between A and O cannot be determined).

Here, Only the conclusion III follows.

Hence, 'Option 1' is the correct answer.

The correct answer is H2 + Br2 → 2HBr.

Key-points:

• The balanced chemical reaction for the reaction between hydrogen and bromine to form hydrogen bromide can be represented as follows:
• H2 + Br2 → 2HBr
• Explanation:
• The reaction you provided involves the combination of hydrogen gas (H2) and bromine gas (Br2) to produce hydrogen bromide gas (HBr).
• In the reaction, two molecules of hydrogen gas (H2) react with one molecule of bromine gas (Br2) to produce two molecules of hydrogen bromide gas (HBr).
• Let's break down the reaction step by step:
• Hydrogen gas (H2): Hydrogen gas is a diatomic molecule, meaning it consists of two hydrogen atoms bonded together.
• Bromine gas (Br2): Bromine gas is also a diatomic molecule, comprising two bromine atoms bonded together.
• Balanced Equation:
• To balance the equation, we need to ensure that the number of atoms of each element is the same on both sides of the equation.
• In this case, we have two hydrogen atoms on the left side (2H) and two hydrogen atoms on the right side (2H), as well as two bromine atoms on the left side (Br2) and two bromine atoms on the right side (2HBr).
• Thus, the equation is balanced.

The correct answer is Both (a) and (b).

Key-points

• Magnetic field: The region around a magnet in which its force can be experienced.
• Solenoid:  A long, thin loop of wire, often wrapped around a metallic core, which produces a magnetic field when an electric current is passed through it.
• Explanation:

Magnetic field due to a long solenoid carrying current I:

• The magnetic field around a solenoid is similar to that around a bar magnet.
• The magnetic field lines move from south to north inside the solenoid and north to south outside the solenoid. Thus, forming closed loops.
• Inside the solenoid, the magnetic field lines move parallel to each other. Thus, it is uniform inside the solenoid.
• The magnetic field is strongest inside the solenoid.

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Shortcut Trick

When the distance traveled is the same for both journeys, use the harmonic mean formula.

Average Speed = (2 × x × y) ÷ (x + y)

Average Speed = (2 × 30 × 60) ÷ (30 + 60)

Average Speed = 3600 ÷ 90 = 40 km/h.

∴ The correct answer is 40 km/h.

Alternate Method

Given:

Distance (one way) = 90 km

Forward Speed (v₁) = 30 km/h

Return Speed (v₂) = 60 km/h

Formula Used:

Average Speed = Total Distance ÷ Total Time

Time = Distance ÷ Speed

Calculations:

⇒ Time taken for forward journey (t₁) = 90 ÷ 30 = 3 hours

⇒ Time taken for return journey (t₂) = 90 ÷ 60 = 1.5 hours

⇒ Total Distance = 90 + 90 = 180 km

⇒ Total Time = 3 + 1.5 = 4.5 hours

⇒ Average Speed = 180 ÷ 4.5 = 40 km/h

∴ The correct answer is 40 km/h.

Additional Information

Average Speed (Equal Distances)

If an object covers equal distances at speeds u and v, the average speed is (2uv) ÷ (u + v). This is independent of the actual distance.

Average Speed (Equal Time)

If an object travels for equal time intervals at speeds u and v, the average speed is the arithmetic mean: (u + v) ÷ 2.

Relative Speed

For objects moving in the same direction, relative speed is |u − v|. For objects moving in opposite directions, it is (u + v).

Drawing figure as per given information,

• P is 400 m to the west of K.
• M is 200 m to the east of L.
• O is 300 m to the north of K.
• N is 150 m to the south of L.
• L is 250 m to the south of K.

Straight distance between O and N = 300 + 250 + 150 = 700

Hence, '700 m' is the correct answer.

Given:

A certain number of people are sitting in a row, facing north.

Solution:

(1) Z sits at one of the extreme ends of the row.

(2) Only one person sits to the right of S.

 

 

(3)  Only one person sits between Q and S.

(4) Only two people sit between D and Z. This is possible only in Case 1.

 

(5) P sits to the immediate left of Q.

(6) P sits second to the right of L.

(7) K sits to the immediate right of D.

(8) L sits second to the right of D.

So here, 12 is the total number of persons seated.

Hence, '12' is the correct answer.

The logic follows here is as,

                       

Similarly,

Hence, 'option 4' is the correct answer.