ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

The equation |x + 4| = x has solution

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

The multiplicative inverse of -3i is

• 3i A
• -3i B
• -1/3i C
• 1/3 i D

• 
  A
• 
  B
• 
  C
• 
  D

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

• √5 A
• √7 B
• -1-2i C
• √3 D

a >b ⇒a +c >b +c is known as

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

• 0 A
• 1 B
• -1 C
• 2 D

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

(a^-1)^-1=

• a^-1 A
• a B
• -a C
• None of above D

The square root of 2i - 20i is

• ±(5 - 2i) A
• ±(5+ 2i) B
• (5 - 2i) C
• None of these D

∀ z ∈ C, multipliucative is

• (1,1) A
• (1,0) B
• (0,1) C
• None of these D

The set of natural no. is closed under

• multiplication A
• subtraction B
• difference C
• division D

For any real numbers x,y,xy=o ⇒

• x ≠ 0 ∧ y ≠ 0 A
• x = 0 ∨ y = 0 B
• x = 0 C
• y = 0 D

• 
  A
• 1 B
• 
  C
• -1 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 a is any real number and a = a is called

• symmetric property A
• Trichotomy Properties B
• Transitive Property C
• Reflexive Properties D

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

• 
  A
• 
  B
• 
  C
• None of these D

• additive property A
• multiplicative property B
• additive identity C
• multiplicative identity 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

Every whole number is

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

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

6 is

• A prime integar A
• An irrational number B
• A rational number C
• An odd integer 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

• 
  A
• 
  B
• 
  C
• 
  D

(a-1)-1 =

• a-1 A
• a B
• -a C
• None of above D

• 15 A
• 15 i B
• -15 i C
• -15 D

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

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

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

∀a,b,c∈R, a >b ∧ b>c ⇒ a >c is

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

• Reflexive property A
• Symmetric property B
• Cancellations property w.r.t. addition C
• Transitive property D