ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

The multiplicative inverse of (a,b) is

• 
  A
• 
  B
• 
  C
• 
  D

For each real number, there is a number which is its

• Negative A
• Possitive B
• Opposite C
• Similar D

What is the conjugate of -7 -2i?

• -7 + 2i A
• 7 + 2i B
• 7 -2i C
• None of these 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

The identity element with respect to subtraction is

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

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

The additive inverse of 0 is

• 1 A
• -1 B
• 0 C
• Does not exist 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

• 
  A
• 
  B
• 
  C
• 
  D

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

• √5 A
• √7 B
• -1-2i C
• √3 D

• 
  A
• 1 B
• -1 C
• 
  D

The square roots of negative numbers is called

• Real no A
• Complex no B
• Positive no C
• Negative no D

The square root of 2i - 20i is

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

• 
  A
• 
  B
• 
  C
• 
  D

The multiplicative inverse of 1 is

• 1 A
• -1 B
• 0 C
• Does not exist D

• 
  A
• 
  B
• 
  C
• 
  D

∀x,y∈R and x> 0 , y>0, if x > y

• 
  A
• 
  B
• 
  C
• None of these D

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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

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

The set of positive integers, 0 and negative integers is known as the set of

• Natural numbers A
• Rational numbers B
• All integers C
• Irrational numbers D

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

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

• a+a = 2a A
• a+a = 1 B
• a+a = 0 C
• None of these D

• 1 A
• -i B
• i C
• 0 D

• 
  A
• 
  B
• 
  C
• 
  D

• Additive property in R A
• Multiplication property in R B
• Cancellation property in R C
• Distribution property in R D

If a is any real number and a = a is called

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

The sum of complex number (a,b) and (c,d) is

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D