ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

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

• √3 i A
• √7 B
• -2-i C
• √5 D

A subset of set of complex number whose elements are of the form (a,0) is called

• Real number A
• Complex number B
• Rational number C
• Irrational number D

Gooch crucible is made of :

• Brass. A
• Porcelain. B
• Bronze. C
• Gold. D

π is the ration of

• Area of a circle to its diameter A
• Area of a circle to its radius B
• Circumference of a circle to its diameter C
• Circumference of circle to its radius D

• 
  A
• 
  B
• 
  C
• 
  D

The product of complex numbers (a,b) and (c,d) is

• (ac, bd) A
• (ac-bd, ad+bc) B
• (ab,cd) C
• (ac+bd,ad-bc) D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

The identity element with respect to subtraction is

• 0 A
• -1 B
• 0 and 1 C
• None of thes D

• 
  A
• 
  B
• 
  C
• 
  D

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

a.a^-1= a^-1.a = 1 is a

• Commutative law of multiplication A
• Multiplication identity B
• Associative law of multiplication C
• Multiplication inverse D

• 
  A
• 
  B
• 
  C
• 
  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

In (x +iy) y is called as

• Imaginary part A
• Complex number B
• Real part C
• None of above D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 1 B
• 
  C
• -1 D

i² = 

• 1 A
• 2 B
• -1 C
• 0 D

Every natural number is

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

(a, b) + (-a, -b) =

• (0,0) A
• (a, b) B
• (-a, -b) C
• (1, 1) D

• 1 A
• 3 B
• 2-i C
• -1 D

(a,b) +(-a,-b) =

• (0,0) A
• (a,b) B
• (-a,-b) C
• (1,1) D

• Commutative property of addition A
• Closure property of addition B
• Additive inverse C
• Associative property w.r.t. to addition D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

i =

• √1 A
• √2 B
• √-2 C
• √-1 D

Every irrational number is

• A real number A
• A prime number B
• A natural number C
• An integer D

The square root of every incomplete square is an

• Rational numbers A
• Even numbers B
• odd numbers C
• Irrational numbers D

i¹⁰¹=

• i A
• i² B
• -i C
• -1 D

• Rule of quotient of fraction A
• Golden rule of fraction B
• Rule for product of fraction C
• Principle for equality of fraction D