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

• -3 -2i A
• 3 +2i B
• 1 + 2i C
• 1 - 2i 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

Such fraction which can not be written in the form ofp⁄q where p,q and q≠ 0,such fractions are called.

• Fractinal numbers A
• Rational Numbers B
• Even Numbers C
• Whole Numbers D

• 
  A
• 1 B
• 
  C
• -1 D

If in a set of real no a is multiplicative identity then

• a,a = a² A
• a,a = 1 B
• a,a = 0 C
• None of these D

The set of rationals numbers between 0 and I is

• Finite A
• Null set B
• Infinite C
• None of these D

The solution set of the equation |3x + 2| = 5 is

• 
  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

∀a,b ε R, ab = be is a

• Commutative law of multiplication A
• Closure law of multiplication B
• Associative law of multiplication C
• Multiplicative identity D

• 
  A
• 
  B
• 
  C
• 
  D

A non-terminating non_recurring decimal represents an

• Irrational no A
• Both a & c B
• Rational no C
• None of these D

If A = {x / x ∈ R ∧ x² - 16 = 0} then A =

• - x A
• Infinite set B
• Φ C
• {-4,4} 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

∀x,y∈R and x> 0 , y>0, if x > y

• 
  A
• 
  B
• 
  C
• None of these D

• 
  A
• 1 B
• -1 C
• 
  D

The multiplicative inverse of 4 is

• -4 A
• -1/4 B
• 1/4 C
• 1 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 natural number A
• A rational number B
• An irrational number C
• A whole number D

1/3 is ______

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

• are real no A
• both are not real B
• are imaginary no C
• both are imaginary D

QUQ, =

• N A
• R B
• W C
• Z D

i is equal

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

• Associative law of multiplication A
• Commutative law of addition B
• Commutative law of multiplication C
• Associative law of addition D

• Set of whole number A
• Rational Numbers B
• Complex numbers C
• Whole numbers D

Additive inverse of - a - b is

• a A
• -a + b B
• a - b C
• a + b D

• 
  A
• 
  B
• 
  C
• 
  D

Name the property used in 4 + 9 = 9 + 4

• Associative property of addition A
• Commutative property of addition B
• Distributive property C
• Additive identity D

What is the conjugate of -7 -2i ?

• -7 + 2i A
• 7 +2i B
• 7 -2i C
• √53 D

Union of the sets of rational and irrational numbers is called 6th set of

• Natural numbers A
• Real numbers B
• Whole numbers C
• Prime numbers D