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## AIEEE Mathematics (2004)

Created by Quizmagic Team on Jan 09, 2013 07:03 PM.
`There are 25 questions of AIEEE Maths examination of year 2004 in this quiz. Take this quiz with previous year questions and improve your mathematics for this competitive examination.`
Top 5 Scores
 155 01:37 81 00:57 79 00:51 78 01:08 78 01:17
 Questions 25 Minutes 15 High Score 155 01:37 Quiz Played 160 times
Last played on Mar 09, 2017View comments
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### Sample Questions

Question 1
The differential equation for the family of curves x2 + y2 - 2ay=0, where a is an arbitrary constant is
 2(x2 - y2)y' = xy (x2 - y2)y' = 2xy (x2 + y2)y' = 2xy 2(x2 + y2)y' = xy
Question 2
The range of the function f(x)= 7-x P x-3 is
 {1, 2, 3, 4, 5, 6} {1, 2, 3} {1, 2, 3, 4} {1, 2, 3, 4, 5}
Question 3
Let R = {(1, 3), (4, 2), (2, 4), (2, 3), (3, 1)} be a relation on the set A = {1, 2, 3, 4}. The relation R is
 not symmetric a function reflexive transitive
Question 4
If the straight lines x = 1 + s, y = –3 – λs, z = 1 + λs and x = t/2 , y = 1 + t, z = 2 – t with parameters s and t respectively, are co-planar then λ equals
 -0.5 -1 -2 0
Question 5
If (1 – p) is a root of quadratic equation  x2 + px + (1 - p) = 0, then its roots are
 -1, 1 -1, 2 0, -1 0, -1
Question 6
A line with direction cosines proportional to 2, 1, 2 meets each of the lines x = y + a = z and x + a = 2y = 2z. The co-ordinates of each of the point of intersection are given by
 (2a, 3a, 3a), (2a, a, a) (3a, 2a, 3a), (a, a, a) (3a, 2a, 3a), (a, a, 2a) (3a, 3a, 3a), (a, a, a)
Question 7
The mean and the variance of a binomial distribution are 4 and 2 respectively. Then the probability of 2 successes is
 128/256 37/256 28/256 219/256
Question 8
The probability that A speaks truth is 4/5, while this probability for B is 3/4. The probability that they contradict each other when asked to speak on a fact is
 3/20 7/20 4/5 1/5
Question 9
In a series of 2n observations, half of them equal a and remaining half equal –a. If the standard deviation of the observations is 2, then |a| equals
 2 √2/n √2 1/n
Question 10
Consider the following statements: (a) Mode can be computed from histogram (b) Median is not independent of change of scale (c) Variance is independent of change of origin and scale. Which of these is/are correct?
 only (b) (a), (b) and (c) only (a) and (b) only (a)