ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

(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

• 
  A
• 
  B
• 
  C
• 
  D

• a = a A
• a < a B
• a > a C
• a²= a D

• 
  A
• 
  B
• 
  C
• 
  D

Associative law of multiplication

• ab = ba A
• a(bc) = (ab) c B
• a(b+c) = ab + ac C
• (a + b)c = ac + bc D

• 
  A
• 1 B
• -1 C
• 
  D

• Rational A
• Irrational B
• Even C
• Odd D

The multiplicative inverse of 2/3 is

• 3/2 A
• -2/3 B
• -3/2 C
• 1 D

If a and b are real numbers then a+b is also real number this law is called

• associative law of addition A
• closure law of addition B
• Distributive law of addition C
• Commutative law of addition D

The set of natural no. is closed under

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

If z₁= 2 + 6i and z₂= 3 + 7i, then which expression defines the product of z₁and z₂?

• 36 + (-32)i A
• -36 + 32i B
• 6 + (-11)1 C
• 0, +(-12)i D

√x = ______ if is a prime number

• Rational no A
• Natural no B
• Irrational no C
• Complex no D

Geometrically the modulus of a complex number represents its distance from the

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

(√3+√5)+√7 = √3 +(√5 +√7) property used in above is

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

In R, the additive identity is

• 0 A
• 1 B
• -1 C
• None D

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

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

• 
  A
• 
  B
• 
  C
• 
  D

√25 is a number

• Rational A
• Irrational B
• Natural C
• Odd D

(7, 9) + (3, -5) =

• (4, 4) A
• (10, 4) B
• (9, -5) C
• (7, 3) D

• 1 A
• 3 B
• 2-i C
• -1 D

(a^-1)^-1=

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

∀x,y∈ R and x < 0, y < 0, which one is true 

• xy < o A
• xy = o B
• xy > o C
• None of these D

i³=

• -1 A
• i B
• -i C
• 1 D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

The multiplicative inverse of 1 is

• 1 A
• -1 B
• 0 C
• Does not exist D

In R, the multiplicative inverse of a is

• 0 A
• 1 B
• -a C
• 1/a D