List of top Questions asked in JEE Main

Let l be a line which is normal to the curve \(y = 2x^2 + x + 2\) at a point P on the curve. If the point Q(6, 4) lies on the line l and O is origin, then the area of the triangle OPQ is equal to _________ .

A man of 60 kg is running on the road and suddenly jumps into a stationary trolly car of mass 120 kg. Then, the trolly car starts moving with velocity 2ms^–1. The velocity of the running man was _____ ms^–1, when he jumps into the car.

In the estimation of bromine, 0.5 g of an organic compound gave 0.40 g of silver bromide. The percentage of bromine in the given compound is _____% (nearest integer)
(Relative atomic masses of Ag and Br are 108 u and 80 u, respectively).

The graph between \(\frac 1u\) and \(\frac 1v\) for a thin convex lens in order to determine its focal length is plotted as shown in the figure. The refractive index of lens is 1.5, and its both the surfaces have the same radius of curvature R. The value of R will be______cm.
(where u = object distance, v = image distance)

The drawing below shows a building block 16 m×16 m×16 m Black and White surfaces are cubes visible on all four vertical surfaces and top surface, except the base. Calculate the total volume of black cubes that are visible from all sides except the base. Find the correct answer.

In the tribal arts of India, the traditional tribal Bastar art is famous around all over the world. This art is practiced by tribal of Bastar region of India and is known throughout the world for their unique art works. The tribal communities of Bastar have been protecting this rare art from generation to generation, but in absence of publicity it is restricted to weekly ‘haat’ and markets. This art is made by conventional tools rather than using the modern excellent machines. Bastar art can be divided mainly into wood work, bamboo art, soil art and metal arts.

Wood art works are mainly used in wooden material to make Bastar culture, festivals, creatures of gods, statues of gods and goddesses and decorations. Bamboo art is made with bamboo sheets, chairs, living room, table, baskets, mats and home furnishings are made. In soil art, the statues of goddesses, decorative utensils, vases, pots and household furnishings are made. In the metal arts, artifacts of copper and tin mixed metal are made, mainly in which statues of goddesses, idols of worship, idols of tribal culture and home furnishings are made.

With reference to the passage above, choose the correct statement.

The above graph gives the ratio of housing supply to housing demand.
How many years was the demand for housing more than its supply ?

Which of the following is not the correct inference from the table ?

Year	Delhi	Greater Mumbai	Kolkatta	Hyderabad
1991	9.4	12.5	10.97	4.1
2001	13.8	16.3	13.1	5.65
2011	16.8	18.4	14.0	7.5

Burning wood for household cooking and heating is hazardous to health. Wood smoke contains dangerous toxins that can cause change in human cells. As such there must be some legislation to regulate use of wood-stoves and open-air fires.

Which of the following statements, if true, provide/s support for the above argument ?

(A) Dangerous toxins is higher in vehicle exhaust than in wood smoke.
(B) Smoke produced by coal-burning stoves is more toxic than wood-burning stoves.
(C) In areas where the legislation is to be implemented, the concentration of smoke results in poor air-quality.
(D) No significant beneficial effect on air quality by banning of wood for cooking.
(E) In areas where the legislation is to be implemented, wood is used by more than 50% households.

Choose the most appropriate answer from the options given below :

John starts from his home at point X and follows the path shown in the diagram to reach the bank at point Y and then to his office at point Z.
Which of the following statements holds true ?

Population of four cities from 1991-2011 (in millions).

Year	Delhi	Greater Mumbai	Kolkatta	Hyderabad
1991	9.4	12.5	10.97	4.1
2001	13.8	16.3	13.1	5.65
2011	16.8	18.4	14.0	7.5

Which city has grown at the highest rate between 2001-2011 ?

Assertion A :
The U.S. has hegemony in the world based on its military power.

Reason R :
The U.S. absorbs about 65% of India's total exports in the software sector.

In the light of above statements, choose the most appropriate answer from the options given below :

Past weather report for city X reveals that in the month of August, whenever the temperature was 38°C or above, the humidity level was 85% or higher. From this statement it can be concluded that the report which is not accurate for city X, for the month of August is :

With how many states does the state of Madhya Pradesh share its border with ?

Statement I :
The thirteenth Five-Year Plan of India is being prepared for 2020-2025.

Statement II :
Since its inception in 1951, twelve five year plans have been prepared.

In the light of above statements, choose the most appropriate answer from the options given below :

Arrange the following ratio scales in the ascending order :

(A) 1 : 4,000
(B) 1 : 5,000
(C) 1 : 30,000
(D) 1 : 250
(E) 1 : 750

Choose the correct answer from the options given below :

To show proportion of an item to the whole, the preferred chart type would be :

First printing press of Europe was named :

In defining a settlement as "urban", which one of the following is the correct option ?

Which type of soil is available in the largest quantity in India ? Choose the correct answer.

Which among the following states in India is more prone to earthquake ?

How many towns are there in India based on 2011 census ?

In which city did “Lottery Committee” initiate town planning during 18^th century ?

Macth List - I with List - II.

List - I	List - II
(A) Paris	(I) Petronas Tower
(B) New York	(II) Gardens by the Bay
(C) Singapore	(III) Louvre Museum
(D) Kuala Lumpur	(IV) Times Square

Choose the correct answer from the options given below :

Which of these cities are depicted in Charles Dickens’s, “A Tale of two cities” ?
(A) London
(B) New York
(C) Venice
(D) Paris
(E) Warsaw
Choose the correct answer from the options given below :