ECAT Pre General Science Mathematics Online Test With Answers

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ECAT Pre General Science Mathematics Online Test

Sr. # Questions Answers Choice
1
2 3, -3, 11 3, 3, 11 -3, 3, -11 -3, -3, 11
3
4 a<sup>2</sup>b<sup>2</sup>c<sup>2</sup> 4a<sup>2</sup>b<sup>2</sup>c<sup>2</sup> 4abc None
5
6 1 -1 0 I
7 Let A be a square matrix. Then, 1/2 (A-A') is Skew-symmetric Symmetric Null None of the above
8 If A is a skew-symmetric matrix of order n and P, any square matrix of order n, prove that P' AP is Skew-symmetric Symmetric Null Diagonal
9 (ABC)' = CBA' CBA C' B' A' None of these
10 1 0 -1 2
11 1 0 3 -1
12 -3 -7 1 0
13 A<sup>2</sup>- 5A + 7I = 1 2A<sup>2</sup>- 3A + 7I = 0 A<sup>2</sup>- 5A + I = 0 A<sup>2</sup>- 5A + 7I = 0
14
15
16 a = 2, b = 3 a = 3, b = 2 a = 2, b = 1, 2 a = 3, b = 3
17 Power set of X i.e P(X) _______ under the binary operation of union U Forms a group Does not form a group Has no identity element Infinite set although X is infinite
18 The statement that a group can have more than one identity elements is True False Ambiguous Some times true
19 The set {Z\{0}} is group w.r.t Addition Multiplication Division Subtraction
20 The set R is ______ w.r.t subtraction Not a group A group No conclusion drawn Non commutative group
21 The set {1, -1, i, -i} Form a group w.r.t addition Form a group w.r.t multiplication Does not form a group w.r.t multiplication Not closed under multiplication
22 The set of complex numbers forms Commutative group w.r.t addition Commutative group w.r.t multiplication Commutative group w.r.t division Non commutative group w.r.t addition
23 The multiplicative inverse of -1 in the set {1-, 1} is 1 -1 +-1 0
24 The set {-1, 1} is Group under the multiplication Group under addition Does not form a group Contains no identity element
25 Addition Multiplication Division Both addition and multiplication
26 The set of integer is Finite group A group w.r.t addition A group w.r.t multiplication Not a group
27 To each element of a group there corresponds ______ inverse element Two One No Three
28 The function f{(x, y) | y = ax2+ bx + c} is One-one function Constant function Onto function Quadratic function
29 The graph of a quadratic function is Circle Straight line Parabola Triangle
30 A function whose range is just one elements is called One-one function Constant function Onto function Identity function
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