NTSE - SAT-PB-2012

Tropic of cancer passes through:

1- Gujarat
2- Rajasthan
3- Madhaya Pradesh
4- Chattisgarh
5- Jharkhand
6- West Bengal
7- Tripura
8- Mizoram
Karnataka is the correct option because it does not pass through it.

The Narmada and the Tapi rivers flow westwards into the Arabian Sea.

The western coastal strip, South of Goa, is known as Konkan Coast.

Rice requires more water for growth because water drowns out the competing plants and reduces the need for chemicals.

Tides occur because the gravitational attraction of the moon causes the oceans to bulge out in the direction of the moon (Gravitational pull of the sun and the moon).

Regur soils are black in colour and are also known as 'black soils'.

Britannica is not a type of coffee.

At 45° north of latitude, the Gulf stream and the Labrador current meet near Newfound land.

Most limestone is made into crushed stone and used as a construction material. It is used as a crushed stone for road base and railroad ballast. It is used as an aggregate in concrete. It is fired in a kiln with crushed shale to make cement.

The Ganges Delta also known as the Ganges–Brahmaputra Delta, the Sunderbans Delta or the Bengal Delta is the world's largest delta.

Guru Nanak Dev ji's father was Patwari by profession.

Guru Amar Das started the Manji system by appointing 94 men as Manji for the spread of Sikhism.

Protestantism is a form of Christian faith and practice, which originated with the Protestant Reformation. So, Christian religion has protestant as a branch.

Columbus was a native of Italy.

The second world war was fought between Germany, Japan, Italy and France, Britain, Italy, Soviet Union, United States.

The name given to Punjab by the Latin Historians in Latin language is Panch Nand.

The purpose of the Vernacular Press Act was to control the printing and circulation of seditious material, specifically that which could produce disaffection against the British Government in India in the minds of the masses.

Kādambari is a romantic novel written in Sanskrit. It was substantially composed by Bana Bhattain during the first half of the 7^th century.

The original 'Garden City' concept was developed by Ebenezer Howard in 1902.

James Watt invented the steam engine.

The Indian constitution has 395 articles.

Controlling money is not the work of legislature.

Centre is vested with Residuary powers in the Indian federal structure.

The Governor's salary and allowances, expenditure, etc. shall be expenditure charged on the consolidated fund of the State.

The UN General Assembly proclaimed 10 December as Human Rights Day in 1950.

In 1954, India signed Panchsheel Agreement with China.

The Supreme Court of India is the highest judicial forum and final court of appeal under the Constitution of India, the highest constitutional court, with the power of constitutional review. As per the constitution of India, it is entrusted with the power of judicial renew.

Minimum age required to become a member of Rajya Sabha is 30 years.

The basis of the formation of Uttarakhand, Jharkhand and Chhattisgarh states is regionalism.

Physical disability is the only group whose seats are not reserved for any of the elections

The time period of the 1^st five–year plan of India was 1951–56.

Continuous and high increase in general price level is called inflation.

Under monopoly, the relation between average income and marginal income is AR > MR.

APC is the ratio of consumption expenditure and income.

Prime minister is the Chairman of Planning Commission of India.

Aluminium belongs to group number 13, whereas phosphorus belongs to group number 15.

⇒ The correct option is 2.

Option 4 is correct as in parenchyma tissue, the cells are thin-walled and not thick-walled.

Sharks are a group of fish characterised by a cartilaginous skeleton.

The placenta (also known as afterbirth) is an organ that connects the developing fetus to the uterine wall to allow nutrient uptake, waste elimination, and gas exchange via the mother's blood supply, fight against internal infection and produce hormones to support pregnancy. The placenta provides oxygen and nutrients to growing babies and removes waste products from the baby's blood. So, placenta helps to transport glucose and oxygen from the mother to the embryo.

In Diabetes mellitus (DM), there are high blood sugar levels over a prolonged period. So, the patient drinks more water as there is a loss of salt during urination.

Plaque – Cat is an incorrectly matched pair as Malaria is caused by Anopheles, Dengue is caused by Aedes and Food poisoning is caused by Cockroach. But Plaque is not caused by Cat.

The adrenal glands are two glands that sit on top of your kidneys that are made up of two distinct parts. So, adrenal gland is associated with the kidney.

Analogous organs are organs which have similar functions, but different origins. The wings of an insect and a bird are examples of analogous organs as they evolved independently in each lineage separately after diverging from an ancestor without wings.

Pollen grain is a microscopic body that contains the male reproductive cell of a plant. So, a pollen grain represents a male gametophyte.

Influenza, commonly known as "the flu", is an infectious disease caused by the influenza virus, while others are caused by bacteria.

A telomere is a region of repetitive nucleotide sequences at each end of a chromatid, which protects the end of the chromosome from deterioration or from fusion with neighbouring chromosomes.

Human cannot digest cellulose as the digestive system of humans does not have cellulase, the enzyme which digests the cellulose. So, the correct option is "certain bacteria are not present in humans that are present in ruminants" (Ruminants are mammals that are able to acquire nutrients from plant-based food by fermenting it in a specialised stomach prior to digestion, principally through microbial actions).

a^1/3 + b^1/3 + c^1/3 = 0
⇒ a^1/3 + b^1/3 + c^1/3 = 0
⇒ a^1/3 + b^1/3 = – c^1/3
⇒ (a^1/3 + b^1/3)³ = (– c^1/3)³
⇒ (a^1/3)³ + (b^1/3)³ + 3a^1/3 b^1/3 (a^1/3 + b^1/3) = – c
⇒ a + b + c + 3a^1/3 b^1/3 (– c^1/3) = 0
⇒ (a + b + c) = 3a^1/3 b^1/3 c^1/3
⇒ (a + b + c)³ = 3(a^1/3 b^1/3 c^1/3)³
⇒ (a + b + c)³ = 27abc

Let p(x) = x¹⁰¹ + 101 is getting divided by (x + 1).
Then, the remainder can be found by p(- 1).
p(- 1) = (– 1)¹⁰¹ + 101 = –1 + 101 = 100 

Let the side of the square be 5 cm and the side of the triangle be t cm. Their perimeters are equal, i.e. 20 = 3t.
If the diagonal of the square is 12√2, then side s = 12 cm.
Hence, perimeter of square = 48 cm and side of the equilateral Δ = 48/3 = 16 cm.Area of equilateral Δ = √3/4 (16)² = 64√3 cm²

Total number of coins = 50 ∴ Total number of outcomes = 50
Prime numbers are 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
P(prime numbers) = 10/50 = 1/5
P(not prime numbers) = 1 – 1/5 = 4/5

a(q – r) + b(r – p) + c(p – q) = k⇒ A + (a – 1) D = p ............(1)
A + (b – 1) D = q ............(2)
A + (c – 1) D = r ............(3)
⇒ Putting the values of (1), (2) and (3) in the given equation, we get
⇒ [{a + (b – 1)D} – {A + (c – 1)D}] + b[{A + (c – 1)D} – {A + (a – 1)D}] + c[{A + (a -10 D) – {A + (b – 1)D}]
= a[(b – c)D] + B[(c – a)D] + c[(a – b)D]
= D[ab – ac + bc + ab + ac – bc] = 0

Every real number is either a/an rational number or a/an irrational number.

Gravity makes the water in a river flow. The location from which the water flows is slightly higher in elevation than the locations to which it is flowing, i.e. the water is flowing downhill. Thus, it is gravitational force.

In 0.8 sec, the wave completes 24 cycles.

So, in 1 sec, the wave will complete 24 ÷ 0.8 = 30 cycles.

Now, frequency is the number of oscillations in 1 second.

Thus, the frequency is 30 Hz.

Van Allen radiation belts were discovered by Explorer – I.

One gauss equals 1 × 10^-4 tesla (100 μT) (1 T = 10000 G), i.e. 10^-4T.

The total distance covered by the sound from the point of generation to the reflecting surface and back should be at least (344 m/s) × 0.1 s = 34.4 m. Thus, for hearing distinct echoes, the minimum distance of the obstacle from the source of sound must be half of this distance, i.e. 34.4/2 = 17.2 m.