ECAT Mathematics MCQ's Test For Full Book With Answers

ECAT Mathematics MCQ's Test For Full Book

Sr. # Questions Answers Choice
1 Associative law of multiplication ab - ba a(bc) = (ab) c a(b + c) = ab +ac (a +b)c = ac + bc
2 ∀ a ε R ∃ o ε R such that a + v = 0 + a = a is property of Commutative law of addition Associative law of addition Additive identity Additive inverse
3

If ∀a,b ε R,then a +b  ε  R is a property

 Closure law of addition Associative law of addition Additive inverse Additive identity
4 202.04 is an example of Recurring decimals Non-recurring decimals Terminating decimals None of these
5 √2 is a number Rational Irrational Even Odd
6 √25 is a number Rational Irrational Natural Odd
7 The symbol of irrational is W N Q Q<i>'</i>
8 QUQ, = N R W Z
9 The set {1,2,3,4......} is called Set of natural numbers Set of whole numbers Set of rational number Set of irrational numbers
10 Geometrically the modulus of a complex number represents its distance from the Point (1,0) Point (0,1) Point (1,1) Point (0,0)
11 The square root of 2i - 20i is ±(5 - 2i) ±(5+ 2i) (5 - 2i) None of these
12 The value of i4n+1 1 -1 i i<sup>2</sup>
13 What is the conjugate of -7 -2i ? -7 + 2i 7 +2i 7 -2i √53
14 The equation |x +4| = x has solution x = -2 x = 2 x = -4 x = 4
15 If z1 =√-36 ,z2 =√-25,z3 =√-16 then 15 15i -15i -15
16 if Z1 = 1+i, Z2= 2+3i, then |Z2 -Z1| = √3 i √7 -2-i √5
17 If Z = (1,2), then Z-1 =? (0.2, 0.4) (-0.2 ,0.4) (0.2,-0.4) (-0.2,-0.4)
18 The value of x and y when (x + iy)2 = 5 - 4i x = 2, y = -1 x = -2, y = 1 x = 2, y = -i x = 2, y = 2
19 Every prime number is also Rational number Even number Irrational number Multiple of two numbers
20 √23 is A rational number A irrational number An even integer A factor of 36
21 6 is A prime integar An irrational number A rational number An odd integer
22 0 (zero) is An irrational number A rational number A negative integer A positive number
23 If a,b = 0 then a |b a||b a = b None
24 If a,b,c are three non-coplanar vector then [a +b,b +c,c +a] = _____ [a.b.c] 2[a,b,c] [abc]-2 2[abc]2
25 If a +b +c =0 then which of the following is true a =b =c =0 a,b =b,c =c,a a xb=b xc =c xa None
26 If |a x b|2 + (a,b)2 = _____ |a|2 + |b|2 |a|2- |b|2 |a|2|b|2 None
27 Three points whose position vector a,b,c are collinear axb +b x c+ c x a = 0 a,b +b,c +c,a =0 a,|a xc| =0 a+b+c =0
28 If a2 = b2 then a = b a+b= 1 |a+b| =0 None
29 The zero vector is regarded to be parallel to Every vector Is some cases Both a,b None
30 Projection of vector u along v is |v| cosθ |u| cosθ |v| sinθ |u| sinθ
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