ECAT Pre General Science MCQ Test With Answer for Mathematics Chapter 1

i² = 

• 1 A
• 2 B
• -1 C
• 0 D

If z₁ = (a,b), z₂=(c,d), then z₁ z₂ = -------------------

• (ac,bd) A
• (ac+bd, ad-bc) B
• (ac-bd , ad+bc) C
• (ac-bd , ad-bc) D

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

Every prime number is also

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

The set of rational number is represented by

• W A
• R B
• Q' C
• Q
  
  
  D

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

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

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

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

What is the conjugate of -7 -2i ?

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 1 A
• 3 B
• 2-i C
• -1 D

The identity element with respect to subtraction is

• 0 A
• 1 B
• -1 C
• Does not exist D

• 
  A
• 
  B
• 
  C
• 
  D

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

• √5 A
• √7 B
• -1-2i C
• √3 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 = -i C
• x = 2, y = 2 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

• Commutative law of addition A
• Associative law of addition B
• Additive identity C
• Additive inverse 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

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

In R, the additive identity is

• 0 A
• 1 B
• -1 C
• None 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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

• One A
• Two B
• Three C
• Four D

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

14 is not a

• Prime number A
• Whole number B
• Even number C
• Real number D

√-1 b=

• b A
• 2 B
• 2b C
• None of these D