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Yukti Vault

JEE Mathematics / Practice

Question Bank

Showing 51-55 of 408 questions.

IIT-JEE 1979Question 51
Six boys and six girls sit in a row randomly. Find the probability that (i) the six girls sit together (ii) the boys and girls sit alternately.
Probability

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IIT-JEE 1982Question 52
$A$ and $B$ are two candidates seeking admission in IIT. The probability that $A$ is selected is $0.5$ and the probability that both $A$ and $B$ are selected is at most $0.3$. Is it possible that the probability of $B$ getting selected is $0.9$?
Probability

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IIT-JEE 1981Question 53
An anti-aircraft gun can take a maximum of four shots at an enemy plane moving away from it. The probabilities of hitting the plane at the first, second, third and fourth shot are $0.4$, $0.3$, $0.2$ and $0.1$ respectively. What is the probability that the gun hits the plane?
Probability

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IIT-JEE 1985Question 54
Solve for $x$: $\left(5+2\sqrt6\right)^{x^{2}-3}+\left(5-2\sqrt6\right)^{x^{2}-3}=10$.
Quadratic Equation · Equations Reducible to Quadratic

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IIT-JEE 1984Question 55
Two equal sides of an isosceles triangle are given by the equations $7x-y+3=0$ and $x+y-3=0$ and its third side passes through the point $(1,-10)$. Determine the equation of the third side.
Points and Straight Lines

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