ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

i is equal

• (1 , 0) A
• (0 , 1) B
• (1 , 1) C
• (0 , 0) D

(a +bi) -c (c +di) =

• (a +b) = (c +d) A
• (a +c) + i(b +d) B
• (a -c) + (c -d)i C
• (a -c) +(b -d) i D

i³=

• -1 A
• i B
• -i C
• 1 D

• 
  A
• 
  B
• 
  C
• 
  D

• Associative law of addition A
• Commutative law of addition B
• Additive identity C
• Closure law of addition D

If Z₁ = 1+ i, Z₂ = 2+3i , then |Z₁ -Z₂| =?

• √5 A
• √7 B
• -1-2i C
• √3 D

If Z = (1,2), then Z^-1 =?

• (0.2, 0.4) A
• (-0.2 ,0.4) B
• (0.2,-0.4) C
• (-0.2,-0.4) D

Every real number is

• A complex number A
• A rational number B
• A natural number C
• A prime number D

(a,0) x (c, 0) =

• (0,ac) A
• (ac, 0) B
• (0,0) C
• (a, c) D

A prime number can be a factor of a square only if it occurs in the square at least

• Once A
• Thirce B
• Twice C
• None of these D

a >b, b >c ⇒a >c is a

• Multiplicative property A
• Additive property B
• Trichotomy property C
• Transitive property of inequality D

3/2 is

• An irrational number A
• Whole number B
• A positive integer C
• A rational number D

(a+bi) - (c+di)=

• (a+b) = (c+d) A
• (a+c) + i(b+d) B
• (a - c) + (c- d)i C
• (a - c)+ (b - d)i D

If z₁ =√-36 ,z₂ =√-25,z3 =√-16 then

• 15 A
• 15i B
• -15i C
• -15 D

• A rational number A
• A natural number B
• An irrational number C
• An integer D

√23 is

• A rational number A
• A irrational number B
• An even integer C
• A factor of 36 D

Every whole number is

• A real number A
• An irrational number B
• A prime number C
• A negative integer D

(7,9) +(3,-5) =

• (4,4) A
• (10,4) B
• (9,-5) C
• (7,3) D

I is not

• Real number A
• Natural number B
• Prime Number C
• Whole Number D

• 
  A
• 
  B
• 
  C
• 
  D

• N A
• r B
• 2r C
• π D

• 
  A
• 
  B
• 
  C
• 
  D

∀x,y,z ∈ R and z 0,then

• x > y ⇒ xz > yz A
• x<y ⇒ xz < yz B
• x < y ⇒ xz > yz C
• None of these D

The multiplicative inverse of (a,b) is

• 
  A
• 
  B
• 
  C
• 
  D

The value of x, and y, when (x + iy)²= 5 + 4i

• X = 2, y = 1 A
• X = -2, y = 1 B
• X = 2, y = -1 C
• X = 2, y = 2 D

Decimal part of irrational number is

• Terminating A
• Repeating only B
• Neither repeating nor terminating C
• Repeating and terminating D

Every natural number is

• A prime number A
• An irrational number B
• An integer C
• An even number D

In polar form of complex number r =

• 
  A
• 
  B
• 
  C
• 
  D

• A rational number A
• A irrational number B
• An even integer C
• A factor of 36 D

• x A
• 
  B
• y C
• 
  D