ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

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

Which element is the additive inverse of (a, b) in Complex numbers?

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

i is equal

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

In R the left cancellation property w.r.t addition is

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

The set {1,2,3,4......} is called

• Set of natural numbers A
• Set of whole numbers B
• Set of rational number C
• Set of irrational numbers D

If z₁ =√-36 ,z₂ =√-25,z3 =√-16 then

• 15 A
• 15i B
• -15i C
• -15 D

• 
  A
• 
  B
• 
  C
• 
  D

In R the number of identity element w.r.t '+' is

• One A
• Two B
• Three C
• Four D

• 1 A
• 3 B
• 2-i C
• -1 D

Every prime number is also

• Rational number A
• Even number B
• Irrational number C
• Multiple of two numbers D

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

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

i =

• 
  A
• 
  B
• 
  C
• 
  D

∀a,b,c∈R, a >b ∧ b>c ⇒ a >c is

• Trichotomy property A
• Transitive property B
• Symmetric property C
• Additive property D

The real number system contains.

• Positive Numbers A
• Negative numbers B
• Zero C
• (option a, b and c) D

• 15 A
• 15 i B
• -15 i C
• -15 D

What is the conjugate of -6 -i

• -6 +i A
• 6 + i B
• -6 -i C
• 6 -i D

• z is purely imaginary A
• a is any complex number B
• z is real C
• None of these D

The equation |x + 4| = x has solution

• x = -2 A
• x = 2 B
• x = -4 C
• x = 4 D

The value of i⁴ⁿ⁺¹

• 1 A
• -1 B
• i C
• i² 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

• 15 A
• 15 i B
• -15 i C
• -15 D

• Symmetric property A
• Cancellation property w.r.t. multiplication B
• Reflexive property C
• Transitive property D

The decimal fraction in which we have finite number of digits in its decimal part is called.

• recurring decimal fraction A
• Non terminating faction B
• Non recurring fraction C
• terminating decimal fraction D

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

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

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