List of top Questions asked in JEE Advanced- 1980

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
$Given A = sin^2 \theta + cos^4 \theta , then for all real values of \theta$
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