ECAT Pre Engineering Entry Test With Answers

image
image
image

ECAT Pre Engineering Entry Test

Sr. # Questions Answers Choice
1 The set of complex numbers forms a group under the binary operation of Addition Multiplication Division Subtraction
2 The graph of a quadratic function is Circle Ellipse Parabola Hexagon
3 The set of the first elements of the ordered pairs forming a relation is called its Function on B Range Domain A into B
4 The set {{a,b}} is Infinite set Singleton set Two points set None
5 Which of the following is the subset of all sets?
6 In a school, there are 150 students. Out of these 80 students enrolled for mathematics class, 50 enrolled for English class, and 60 enrolled for Physics class. The students enrolled for English cannot any other class, but the students of mathematics and Physics can take two courses at a time. Find the number of students who have taken both physics and mathematics 40 30 50 20
7 Multiplicative inverse of "1" is 0 -1 1 {0, 1}
8 The multiplicative inverse of x such that x = 0 is -x does not exist 1/x 0
9 The complement of set A relative to universal set U is the set
10 A = C A = B B = C None of these
11 4 3 2 1
12
13 G = {e, a, b, c} is an Abelian group with e as identity element. The order of the other elements are 2, 2, 2 3, 3, 3 2, 2, 4 2, 3, 4
14 Z is the set of integers, (z, *) is a group with a * b = a + b + 1, a, b∈G. then inverse of a is -a a + 1 -2 -a None of these
15
16 Which of the following has the same value as i113? i -1 -i 1
17 What is the conjugate of -6 -i? -6 +i 6+i -6 -i 6 -i
18 Which element is the additive inverse of (a, b) in Complex numbers? (a, 0) (0, b) (a, b) (-a, -b)
19 If z1= 2 + 6i and z2= 3 + 7i, then which expression defines the product of z1and z2? 36 + (-32)i -36 + 32i 6 + (-11)1 0, +(-12)i
20 15 15 i -15 i -15
21 z is purely imaginary a is any complex number z is real None of these
22 0 1 -1 None of these
23 If Z1= 1 + i, Z2= 2+3i, then |Z1- Z2| = ?
24 i101= i i<sup>2</sup> -i -1
25 The multiplicative inverse of -3i is 3i -3i -1/3i 1/3 i
26
27 In polar form of complex number r =
28
29
30 (7, 9) + (3, -5) = (4, 4) (10, 4) (9, -5) (7, 3)
Download This Set
×