NTSE - SAT-WB-2012

20 ÷ 5 × 6 + 2 – 10
100 – 3 + 10 = 107

∠A = 65°
∠B = 55°
∠C = 115°
∠D = 125°

Volume of small cone = 1/27 volume of big cone.

2πr = s πr² = A
4π²r² = S²
4π(πr²) = S²
4πA = S²
∴ S² = 4πA

x² – 6x + 5 < 0
x² – x – 5x + 5 < 0
(x – 1) (x – 5) < 0
∴ 1 < x < 5

Let actual printed C.P. be Rs. 125
Price paid by the businessman
= 80% of 125
Profit for him at the time of buying = 20% of 125
= Rs. 25
S.P. of the businessman
= 120% of Rs. 125
Profit for him at the time of selling = 20% of 125
= Rs. 25
Total profit = Rs. 50
Profit % = 50/125 × 100 
= 40%

Let 'abc' be 3 digit number
abc = 100a + 10b + c
When (a + b + c) is subtracted from (100a + 10b + c), then the result = (100a + 10b + c) – (a + b + c)
= 99a + 9b
= 9(11a + b)
∴ The result is divisible by '9'

A = sin²θ + cos⁴θ​​​​​​​
= sin²θ​​​​​​​ + cos²θ​​​​​​​. cos²θ​​​​​​​
= sin²θ​​​​​​​ + cos²θ​​​​​​​ (1 – sin²θ​​​​​​​)
= sin²θ​​​​​​​ + cos² θ​​​​​​​ – sin²θ​​​​​​​cos²θ​​​​​​​
= 1 – 1/4 (2 sinθ​​​​​​​ cosθ​​​​​​​)²
= 1 – 1/4 sin² 2θ​​​​​​​
min (sin² 2θ​​​​​​​) = 0
max (sin² 2θ​​​​​​​) = 1
min (A) = 1 – 1/4 max(sin² 2θ​​​​​​​)
1 – 1/4 1 = 3/4
max (A) = 1 – 1/4. min (sin²2θ)
= 1 – 1/4 0 = 1

∴ 3/4 ≤ A ≤ 1

[Power] = [force × velocity]
= [MLT^–2] [LT^–1] = ML²T³

To keep the body in uniform velocitya net external force is not needed.

When light travelling in an optical atomic medium hits a boundary at a steep angle, the light is completely reflected. This is total external reflection. This effect is used in optical fibres to continue light in the core.

The solar energy is due to the reactions of Nuclear fusion.

Higher the oxidation state of central atom, higher the acidity.

Oxygen is highly reactive. That is why reaction with oxygen forms its oxide and cannot be used to extract a metal from its ore.

Radioactivity is a nuclear phenomenon. That is why it is not a periodic property.

This reaction can be used as tests to distinguish between acetylene and ethylene. When acetylene is passed through an ammonical solution of cuprous chloride, at room temperature, precipitates of cuprous acetylide (red) are formed.
HC ≡ CH + Cu₂Cl₂ + 2NH₄OH → Cu-C ≡ C-Cu + 2NH₄Cl + 2H₂O
H₂C = CH₂ + Cu₂Cl₂ + 2NH₄OH → No reaction

Acetylene is used in illumination of cycle lamp, hawker's lamps and buoys in light houses.

Chromosomal ΔNA of eukaryotes is lines. It is associated with histones & non histones proteins. Chromosome consists of ΔNA also.

Darwin was most inferenced by beseech work of Alfred Russel Wallace in independently concaving the theory of solution.

Aquarium is an artificial ecosystem as it is a manmade ecosystem that consists of a tank of glass filled with water and supports living organisms such as fish and some small plants.

Because their chloroplasts absorb a major portion of the light energy.

Abscisic acid is an antitranspirant hormone which is produced in plants.
When plants experience water stress due to dry soil conditions, the roots synthesise abscisic acid and send chemical signals. Changes take place in the leaves in response to these signals electing the cosmetic potential around stomata, which causes stomata to close, thereby reducing the amount of loss through transpiration.

Oxidative phosphorylation is the metabolic pathinay in which mitochondria in cells use their stricture enzymes & energy released by the oxidation of nutrients to reform ATP.

Ammonia is the most poisonous excretory substance

The maximum increase in nuber of cell organelles occur in G1 phase.

Corpus callosum is present in cerebrum. It is a major commissural fiber system is human brain. This system is the largest connective structure is the brain, consisting of orbit 200-300 million oxen that connect the 2 cerebral hemispheres.

Isogamy, aniosogamy and oogamy types of sexual reproductions occur in Spirogyra

Aedes aegypti spreads the yellow fever disease.

Proteins are not devoutly formed from ΔNA.

Harappa is an archaeological site in Sindh - Punjab, Pakistan.The site takes it's name from a modern village located near the former course of the Ravi River. The current village of Harappa is less than 1 km (0.62 mi) from the ancient site. The site of the ancient city contains the ruins of a Bronze Age fortified city, which was part of the Indus Valley Civilization centred in Sindh and in the Punjab.

Bengal families of 1770. it occurred between 1769 and 1773. Estimated death of 16 million people.

`Hickey`s Bengal Goethe` from Kolkata started in 1780. It was published for 2 yr.

'Reichstag' is a Parliamentary House of Germany. It is a historic edifice in Berlin, constructed to house the Imperial Diet of the German Emin 1894 and housed the Diet until 1933, when it was severely damaged after being set on fire.

In Lahore session of the Muslim League was the resolution for a separate Muslim state adopted. The Muslim leaders were trying to ensure maximum political safeguards for Muslims within the framework of federation of India in terms of seeking maximum autonomy for Muslim majority provinces. They got some safeguards through a system of separate electorate on communal basis in the 1935 Government of India Act. As a result of elections held under this Act, Indian National Congress formed government in six out of eight provinces.

Alexander von Humboldt is considered father of modern geography, he published Cosmos and was founder of the sub-field biogeography. Carl Ritter is also considered father of modern geography, he occupied the first chair of geography at Berlin University.

The crust of Garth is composed of great manly of ignores, metamorphic, & sedimentary socks.

The Governor appoints the State Council of Ministers.The Council of Ministers is collectively responsible to the assembly for appointing the Chief minister. The Governor appoints the leader of the majority party in the Legislative Assembly as the Chief Minister. It is on the advice of the Chief Minister, that the Governor appoints the other ministers of the Council of Ministers.

The Right to Property, lost its place among the Fundamental Rights and became just a statutory Right in the year 1977. In the 44th amendment the right to acquire, hold and dispose of property as a fundamental right was eliminated.

The 42^nd amendment act. Then, the description of made changed from `Secession democratic republic` no a sovereigns socialist secular democratic republic.

3 baric indications - life expectancy, education & income indices.

It is possible, for instance, for the demand for all commodities to increase if the velocity of circulation of money increases. Similarly, it is possible for the supply of all commodities to increase if there is technological change and economic development.

The worldwide movement toward economic, financial, trade, and communications integration. Globalization implies the opening of local and nationalistic perspectives to a broader outlook of an interconnected and interdependent world with free transfer of capital, goods, and services across national frontiers.

An Act to provide for better protection of the interests of consumers and for that purpose to make provision for the establishment of consumer councils and other authorities for the settlement of consumers' disputes and for matters connected therewith.(According to Consumer Protection Act, 1986).