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AIEEE Latest Exam Pattern - AIEEE Sample Question with Solutions Page 29

(#M40021846) AIEEE QUESTION PROBABILITY Keep an EYE

A number n chosen at random from {1, 2, 3,.., 1000}. The probability that n is a number that leaves remainder 1 when divided by 7

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(#M40021845) AIEEE QUESTION PROBABILITY Keep an EYE

The probability of A speaks truth 4/5 while B is 3/4. The probability that they contradict each other when asked to speak on a fact is

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(#M40021844) AIEEE QUESTION PROBABILITY Keep an EYE

A bag contains 12 red balls and 6 white balls. Six balls are drawn one by one without replacement of which atleast 4 balls are white. Find the probability that in the next two draws exactly one white ball is drawn. (leave the answer in terms of nCr).

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(#M40021843) AIEEE QUESTION CIRCLE Keep an EYE

A circle touches the line 2x + 3y + 1 = 0 at the point (1, -1) and is orthogonal to the circle which has the line segment having end points (0, -1) and (-2, 3) as the diameter

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(#M40021842) AIEEE QUESTION PROBABILITY Keep an EYE

If A and B are two independent events, prove that P (A - B). P (A) P(C), where C is an event defined that exactly one of A and B occurs.

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(#M40021841) AIEEE QUESTION FUNCTION Keep an EYE

A real valued function f(x) satisfies the functional equation f(x - y) = f(x) f(y) - f(a - x) f(a + y) where a is a given constant and f(0) = 1, f(2a - x) is equal to

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(#M40021840) AIEEE QUESTION pair of straight line Keep an EYE

If the pair of lines ax2 + 2(a + b)xy + by2 = 0 lie along diameters of a circle and divide
the circle into four sectors such that the area of one of the sectors is thrice the area
of another sector then find relation between a and b??

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(#M40021839) AIEEE QUESTION straight line Keep an EYE

Two points A and B move from rest along a straight line with constant acceleration f and f' respectively. If A takes m sec. more than B and describes n units more than B in acquiring the same speed then find relation between f & f'

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(#M40021838) AIEEE QUESTION straight line Keep an EYE

A lizard, at an initial distance of 21 cm behind an insect, moves from rest with an acceleration of 2 cm/s2 and pursues the insect which is crawling uniformly along a straight line at a speed of 20 cm/s. Then the lizard will catch the insect after
a) 1
b) 21
c) 11
d) 20

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(#M40021837) AIEEE QUESTION probability Keep an EYE

A random variable X has Poisson distribution with mean 2. Then P(X > 1.5) equals

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