Agniveer Navy cheat sheet

Speed of light in vacuum is about 3 × 10^8 m/s; sound in air is about 343 m/s at 20 °C.

Newton's second law: F = ma; weight is W = mg with g ≈ 9.8 m/s² near Earth's surface.

Ohm's law: V = IR; electrical power P = VI = I²R = V²/R.

Water boils at 100 °C and freezes at 0 °C at 1 atm; density of water is 1 g/cm³.

Photosynthesis: 6CO₂ + 6H₂O + light → C₆H₁₂O₆ + 6O₂, occurring in chloroplasts.

pH below 7 is acidic, 7 is neutral, above 7 is basic; litmus turns red in acid, blue in base.

Human blood has four groups (A, B, AB, O); O-negative is the universal donor for red cells.

Mitochondria are the site of aerobic respiration and ATP production in eukaryotic cells.

Newton's third law: every action has an equal and opposite reaction on a different body.

Area formulas: rectangle lb, triangle ½bh, circle πr², trapezium ½(a+b)h.

Volume: cuboid lbh, cylinder πr²h, sphere (4/3)πr³, cone (1/3)πr²h.

Pythagoras: in a right triangle, a² + b² = c², where c is the hypotenuse.

Simple interest = PRT/100; compound amount A = P(1 + R/100)^T.

Average = sum of values ÷ number of values; speed = distance ÷ time.

Sum of first n natural numbers = n(n+1)/2; sum of first n odd numbers = n².

Quadratic formula: x = [−b ± √(b² − 4ac)] / 2a for ax² + bx + c = 0.

Percentage change = (new − old)/old × 100; successive discounts a% then b% give net 1 − (1−a/100)(1−b/100).

LCM × HCF of two positive integers equals their product.

The Indian Navy was founded as the East India Company's Marine in 1612; Navy Day is 4 December.

INS Vikrant is India's first indigenously built aircraft carrier; INS Arihant is a nuclear submarine.

The Indian Navy motto is 'Sham No Varunah', meaning may the Lord of Waters be auspicious to us.

India's highest peacetime gallantry award is the Param Vir Chakra; the Ashoka Chakra is for peacetime gallantry.

The Tropic of Cancer passes through eight Indian states, including Gujarat, Rajasthan and West Bengal.

The Constitution of India came into force on 26 January 1950; Dr B. R. Ambedkar chaired the drafting committee.

The Ganga is India's longest river within the country; the Brahmaputra is known as the Tsangpo in Tibet.

ISRO's Chandrayaan-3 landed near the lunar south pole in August 2023.

Odd-one-out: test each option against a common property (prime, square, cube, divisibility) and reject the exception.

Number series: check differences first, then ratios, then alternating or squared patterns.

Alphabet position: A=1 … Z=26; reverse position = 27 − forward position.

Coding-decoding: compare letter shifts between word and code; a constant shift indicates Caesar-type coding.

Direction sense: draw axes; north is +y, east is +x; a left turn from north faces west.

Blood relations: map each statement to a family tree before answering the relationship question.

Syllogism: a conclusion follows only if true in every possible Venn diagram of the premises.

Clock angle: |30H − 5.5M| gives the angle between hands at H hours and M minutes.

Analogy: identify the relation type (part-whole, cause-effect, synonym) before selecting the matching pair.