List of top Questions asked in JEE Advanced

Ten different letters of an alphabet are given, Words with five letters are formed from these given letters. The number of words which have at least one of their letter repeated is

The value of the expression \(^{47}C_4+ \displaystyle \sum^5_{j = 1} , ^{52-j}C_3\) is

If a machine is lubricated with oil

Which of the following is soluble in water?

Which of the following will decolourise alkaline $KMnO_4$ solution?

When a ray of light enters a glass slab from air

Two masses of 1 g and 4 g are moving with equal kinetic energies. The ratio of the magnitudes of their momenta is

Two events A and B have probabilities 0.25 and 0.50, respectively. The probability that both A and B occur simultaneously is 0.14. Then, the probability th a t neither A nor B occurs, is

The probability that an event A happens in one trial of an experiment, is 0.4. Three independent trials of the experiments are performed. The probability that the event A happens at least once, is

Two circles $ x^2 + y^2 = 6$ and $ x^2 + y^2 - 6x + 8 = 0$ are given. Then the equation of the circle passing through their points of intersection and the point (1, 1) is

Given positive integers $r >1, n > 2$ and the coefficient of $(3r)th$ and $ (r + 2)th $ terms in the binomial expansion of $(1 + x)^2n$ are equal. Then,

Both the roots of the equation $(x-b)(x-c)+(x-a)(x-c)+(x-a)(x-b)=0$ are always

A ship of mass $3\times 10^7$ kg initially at rest, is pulled by a force of $5\times 10^4 N$ through a distance of 3 m. Assuming that the resistance due to water is negligible, the speed of the ship is

2.76 g of silver carbonate on being strongly heated yields a residue weighing

The largest number of molecules is in

The total number of electrons in one molecule of carbon dioxide is

When the same amount of zinc is treated separately with excess of sulphuric acid and excess of sodium hydroxide, the ratio of volumes of hydrogen evolved is

The compound which contains both ionic and covalent bonds is

The temporary hardness of water is due to calcium bicarbonate can be removed by adding

If $tan \theta=-\frac{4}{3},$ then $sin \theta$ is

Ammonia gas can be dried by

Let f:(0,1)→R be the function defined as f(x)=[4x](x-\(\frac{1}{4}\))2(x-\(\frac{1}{2}\)), where [x] denotes the greatest integer less than or equal to x .Then which of the following statements is(are) true?

Consider the following reaction scheme and choose the correct option(s) for the major products Q, R and S.