Related InterviewSolutions

• If the probability of simultaneous occurrence of two events A and B is p and the probability that exactly one of A, B occurs is q, then which of the following is/are correct? 1. P(bar A) + P(bar B) = 2 - 2p - q2. P(bar A ∩ bar B) = 1 -  p - qSelect the correct answer using the code given below: a. 1 only b. 2 only c. Both 1 and 2 d. Neither 1 nor 2
• If f(x) = √(x - 1)/(x - 4) defines a function of R, then what is its domain?a. (- ∞, 4) ∪ (4, ∞)b. [4, ∞]c. (1, 4) ∪ (4, ∞)d. [1, 4) ∪ (4, ∞)
• What is i1000 + i1001 + i1002 + i1003 equal to (where i = √–1)? a. 0 b. i c. –i d. 1
• The binary number expression of the decimal number 31 is a. 1111 b. 10111 c. 11011 d. 11111
• It is given that bar X = 10, bar Y = 90, σx = 3, σy = 12 and rxy = 0.8. The regression equation of x on y is A. y = 3.2x + 58 B. x = 3.2y + 58 C. x = −8 + 0.2y D. y= −8 + 0.2x
• The angle between the two lines lx + my + n = 0 and l’x + m’y + n’ = 0 is given by tan–1θ . What θ equal to?a. |(lm' - l'm)/(ll' - mm')|b. |(lm' + l'm)/(ll' + mm')|c. |(lm' - l'm)/(ll' + mm')|d. |(lm' + l'm)/(ll' - mm')|
• The probabilities that a student will solve Question A and Question B are 0.4 and 0.5 respectively. What is the probability that he solves at least one of the two questions? a. 0.6 b. 0.7 c. 0.8 d. 0.9
• The equation of the line passing through the point (2, 3) and the point of intersection of lines 2x − 3y + 7 = 0 and 7x + 4y + 2 = 0 is A. 21x + 46y − 180 = 0 B. 21x − 46y + 96 = 0 C. 46x + 21y − 155 = 0 D. 46x − 21y − 29 = 0
• The equation of the plane passing through the line of intersection of the planes x + y + z = 1, 2x + 3y + 4z = 7, and perpendicular to the plane x −5y + 3z = 5 is given by A. x + 2y + 3z −6 = 0 B. x + 2y + 3z +6 = 0 C. 3x + 4y +5z − 8 = 0 D. 3x + 4y + 5z + 8 = 0
• What is equation of straight line pass through the point of intersection of the line x/2 + y/3 = 1 and x/3 + y/2 = 1,  and parallel the line 4x + 5y – 6 = 0 ? a. 20x + 25y – 54 = 0 b. 25x + 20y – 54 = 0 c. 4x + 5y – 54 = 0 d. 4x + 5y – 45 = 0