ECAT Pre Engineering Entry Test With Answers

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ECAT Pre Engineering Entry Test

Sr. # Questions Answers Choice
1 QUQ'
2 Set of whole number Rational Numbers Complex numbers Whole numbers
3 The set {1, 2, 3, 4, ....} is called Set of Natural numbers Set of whole numbers Set of rational number Set of irrational numbers
4 Geometrically, the modulus of a complex number represents its distance from the Point (1, 0) Point (0, 1) Point (1, 1) Point (0, 0)
5
6 The multiplicative inverse of 1 - 2i is
7 The square root of 2i - 20i is +-(5 - 2i) +-(5 + 2i) (5 - 2i) None of these
8 The value of x, and y, when (x + iy)2= 5 + 4i X = 2, y = 1 X = -2, y = 1 X = 2, y = -1 X = 2, y = 2
9 -3 -2i 3 +2i 1 + 2i 1 - 2i
10 What is the conjugate of -7 -2i? -7 + 2i 7 + 2i 7 -2i None of these
11
12 The equation |x + 4| = x has solution x = -2 x = 2 x = -4 x = 4
13 The solution set of the equation |3x + 2| = 5 is
14 15 15 i -15 i -15
15 If Z1= 1 + i, Z2= 2+3i, then |Z2- Z1| = ?
16 If Z = (1,2), then Z-1= ? (0.2, 0.4) (-0.2, 0.4) (0.2, -0.4) (-0.2, -0.4)
17 The value of x, and y, when (x + iy)2= 5 + 4i X = 2, y = -1 X = -2, y=1 X = 2, y = -1 X = 2, y = 2
18 A positive integer A negative integer A natural number An irrational number
19 Every prime number is also Rational number Even number Irrational number Multiple of two numbers
20 3/2 is An irrational number Whole number A positive integer A rational number
21 A rational number A irrational number An even integer A factor of 36
22 6 is A prime integer An irrational number A rational number An odd integer
23 Zero is An irrational number A rational number A negative integer A positive number
24 If the angle between two vectors with magnitude 2 and 15 is 30°then their scalar product is 15 30
25 12 6 8 none of these
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