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Drawing figure as per given information,

• To reach house B from house A, a person has to walk 30 m towards the south.
• Then he must take a left turn and walk 15 m.
• Then he must take a left turn again and walk 20 m.
• Again, he must take a left turn and walk 25 m.
• Then he must take a right turn and walk 10 m.
• Then he must take a left turn and walk 17 m to finally reach house B.

Here, 27 m, East direction is house A from house B.

Hence, 'option 2' is the correct answer.

The correct answer is Male germ cell - small and motile, Female - large with food store.

Key-points 

Here's a table that explains the characteristics of male germ cells (sperm cells) and female germ cells (oocytes):

• Explanation:
• Size:
• Male germ cells, or sperm cells, are generally small in size.
• They are specialized for mobility and reaching the egg for fertilization.
• In contrast, female germ cells, known as oocytes or eggs, are comparatively larger due to the presence of abundant cytoplasm to support the developing embryo.
• Motility:
• Sperm cells are highly motile, equipped with a whip-like tail called a flagellum, which propels them toward the egg.
• Their motility allows them to swim through the female reproductive tract to reach the site of fertilization.
• On the other hand, oocytes are non-motile and remain stationary within the ovaries until they are released during ovulation.
• Food Store:
• Male germ cells (sperm cells) have a limited food store.
• They primarily carry genetic material necessary for fertilization but rely on the female reproductive tract for nourishment.
• In contrast, female germ cells (oocytes) possess a substantial food store in the form of yolk or nutrient-rich cytoplasm.
• This food supply is crucial for supporting the early stages of embryo development until it can establish its own nutrient supply.

Given :  I _ L O _ R U V X _ B _ G

By checking options and substituting accordingly.

(1): JPAD   → I J L / O P R / U V X / A B D / G

Here, each word is formed with three alphabets. In which gap between 2^nd and 3^rd alphabet is one alphabet while gap between last alphabet and first alphabet of next word is two alphabets .As given in below figure,

(2): JPAG  →  I J L / O P R / U V X / A B G / G (No pattern Followed)

(3): JPXD  →  I J L / O P R / U V X / X B D / G (No pattern Followed)

(4): JRAD  →  I J L /O R R / U V X / A B D / G  (No pattern Followed) ​

Hence, ‘JPAD ’ is the correct answer.

Given: 

Eight classmates D, E, F, G, H, I, J and K are sitting in a straight row, facing north. 

Solution:

(1) There are only two classmates sitting between H and D.

(2) K sits to the immediate left of D.

(3)  D and I are immediate neighbours.

(4)  J is at the extreme right end of the row.

(5) Only E sits between I and G.

• Only case 1 is possible.

(6) unoccupied seat will be filled by F.

Here, F sits at the second position from the left end of the row.

Hence, 'option 2' is the correct answer.

The correct answer is History.

Key Points

• Temporal synthesis is defined as the automated construction of a system whereby we develop a temporary specification and then try to prove it.
• It is done in history as a discipline.
• It refers to the comparisons made with respect to the passage of time.
• Here, if a process is temporally extended, it means that it happens over a period of time.
• If the occurrence of two events differs temporally, then they happened at different points in time.

Additional Information

• Spatial synthesis is attempted by Geography.
• It includes any of the formal techniques which study entities using their topological, geometric, or geographic properties.
• Geomorphology:
• ​Geomorphology is the scientific study of the origin and evolution of topographic and bathymetric features created by physical, chemical or biological processes operating at or near Earth's surface.
• Spatial synthesis is the subject matter in Geomorphology.
• Anthropology:
• ​Anthropology is the study of the origin and development of human societies and cultures.
• Culture is the learned behaviour of people, including their languages, belief systems, social structures, institutions, and material goods.
• Both Spatial and temporal synthesis are the subject matter in Anthropology.
• Philosophy:
• ​Philosophy is the systematized study of general and fundamental questions, such as those about existence, reason, knowledge, values, mind, and language.
• Philosophical methods include questioning, critical discussion, rational argument, and systematic presentation.
• Existential synthesis is the subject matter in Philosophy.

The correct answer is Swaran Singh Committee.

Key Points

• The Fundamental Duties were incorporated in Part IV-A of the Indian Constitution through the 42^nd Constitutional Amendment Act, 1976.
• At present, there are eleven fundamental duties under Article 51 A of the constitution.
• The idea of Fundamental Duties has been borrowed from the erstwhile USSR.
• Originally the duties were ten in number, later on through 86^th Amendment Act, 2002, the eleventh Fundamental duty was added.
• Fundamental duties are non-enforceable in nature.
• Swaran Singh Committee recommended the inclusion of Fundamental Duties in the Indian Constitution.

Additional Information

• JB Kripalani Committee:
• This was the Fundamental Rights sub-committee. It was headed by J.B. Kriplani.
• He suggested that:
• ​Fundamental Rights are the basic human rights guaranteed to the citizens of India by the Constitution.
• There are six fundamental rights Nine major committees were appointed by the Constituent Assembly to deal with different tasks of constitution-making.
• The advisory committee on Fundamental Rights, Minorities, and Tribal and Excluded Areas had a subcommittee.
• HC Mookherjee Committee:
• The Chairman of Minorities Sub Committee was H.C Mookherjee during 1946.
• He was the VicePresident of the Constituent Assembly of India for drafting the Constitution of India before the partition of India.
• AV Thakkar Committee:
• ​He was appointed the chairman of "Excluded and Partially Excluded Areas (Other than Assam), a sub committee of the constituent assembly.
• Mahatma Gandhi would call him 'bapa'.
• In one of his appeals in 1939 Mahatma Gandhi called him "Father of Harijans".

The correct answer is strong, high.

Key-points

• Tungsten metal is used for making the filament of electric bulbs.
• Tungsten is used to making an electrical bulb filament for the following properties:
• It has a very high melting point being an alloy.
• It has very high resistance, so it does not burn easily at room temperature.
• The lamp glows at high temperatures.
• Tungsten filament does not melt even though a significant amount of heat is generated due to the passing of the current through the filament (through the heating effect of the current).

Additional Information

• An incandescent light bulb is an electrical light with a wire filament that is heated until it glows.
• The filament is wrapped in a bulb of glass to shield the filament from oxidation. Current is supplied to the filament by means of terminals or wires inserted in the glass.
• The incandescent bulb has been commonly used in household and commercial lighting, for portable lightings such as car headlamps, table lamps and flashlights, and for decorative and advertisement lighting.

• The shaded part represents  types of juices does the company make that contain both Apple and Strawberry flavours

 

• The number representing types of juices does the company make that contain both Apple and Strawberry flavours = 10 + 8 = 18

Hence, ‘18’ is the correct answer.

Shortcut Trick

Observe the x³ terms: (3 × 9x³) − (9 × 3x³) = 27x³ − 27x³ = 0.

Combine the x² and x terms: 3(−6x²) + (−9 × −2x) = −18x² + 18x.

Combine the constants: (3 × 30) − (9 × 30) = 90 − 270 = −180.

The resulting expression is −18x² + 18x − 180.

Factor out −18: −18(x² − x + 10).

∴ The correct answer is -18(x² − x + 10).

Alternate Method

Given: 3(9x³ − 6x² + 30) − 9(3x³ − 2x + 30)

Method: Apply the Distributive Law a(b + c) = ab + ac and then group like terms.

⇒ (3 × 9x³ + 3 × (−6x²) + 3 × 30) − (9 × 3x³ + 9 × (−2x) + 9 × 30)

⇒ (27x³ − 18x² + 90) − (27x³ − 18x + 270)

⇒ 27x³ − 18x² + 90 − 27x³ + 18x − 270

⇒ (27x³ − 27x³) − 18x² + 18x + (90 − 270)

⇒ −18x² + 18x − 180

⇒ −18(x² − x + 10)

∴ The correct answer is -18(x² − x + 10).

Additional Information

Distributive Property

This property states that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products: a(b + c) = ab + ac.

Combining Like Terms

To simplify algebraic expressions, we group terms with the same variables and exponents together (e.g., all x³ terms together).

BODMAS Rule

Always simplify expressions following the BODMAS order: Brackets, Orders (powers), Division, Multiplication, Addition, and Subtraction.

Factoring

The process of finding the Highest Common Factor (HCF) and rewriting the expression as a product, which is the reverse of distribution.

Shortcut Trick

In parallel lines AB || CD || EF, the transversal BE creates equal angles.

Given ∠BGD = 62°, then ∠ABG = 62° (Alternate Interior Angles).

Since AB || EF, ∠BEF = ∠ABG = 62° (Alternate Interior Angles).

Given EA ⊥ AB and AB || EF, it implies ∠AEF = 90°.

Therefore, w = ∠AEF − ∠BEF = 90° − 62° = 28°.

∴ The correct answer is 28 °.

Alternate Method

Given: AB || CD, CD || EF, EA ⊥ AB, and ∠BGD = 62°.

Formula Used: Sum of interior angles on the same side of a transversal is 180°; alternate interior angles are equal; corresponding angles are equal.

⇒ AB || CD and CD || EF ∴ AB || EF (Lines parallel to the same line are parallel to each other).

⇒ EA ⊥ AB (Given) ⇒ ∠EAB = 90°.

⇒ Since AB || EF and EA is a transversal: ∠EAB + ∠AEF = 180° (Co-interior angles).

⇒ 90° + ∠AEF = 180° ⇒ ∠AEF = 90°.

⇒ Since CD || EF, ∠BGD and ∠GEF are Alternate Interior Angles or Corresponding Angles depending on position.

⇒ In the transversal BE, ∠GEF = ∠BGD = 62° (Alternate interior angles).

⇒ Now, ∠AEF = ∠AEG + ∠GEF.

⇒ 90° = w + 62°.

⇒ w = 90° − 62° = 28°.

∴ The correct answer is 28 °ree;.

Additional Information

Alternate Interior Angles

When two parallel lines are cut by a transversal, the pairs of angles on opposite sides of the transversal and between the parallel lines are equal.

Transitivity of Parallel Lines

If line L1 is parallel to L2 and L2 is parallel to L3, then L1 is parallel to L3.

Perpendicular Transversal Theorem

In a plane, if a line is perpendicular to one of two parallel lines, then it is perpendicular to the other line as well.