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

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,b, c ε R,a +c = b + c = > a = b

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

∀a,b ε R, ab = be is a

• Commutative law of multiplication A
• Closure law of multiplication B
• Associative law of multiplication C
• Multiplicative identity 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

• 
  A
• 
  B
• 
  C
• 
  D

If 0 = R, thenthe additive inverse of a is

• 1/9 A
• ^1/-9 B
• a C
• -a D

The multiplicative inverse of 1 - 2i is

• 
  A
• 
  B
• 
  C
• 
  D

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C

1/3 is a decimal

• Recurring A
• Terminating B
• Non-terminating C
• None of the above D

Decimal part of irrational number is

• Terminating A
• Repeating only B
• Neither repeating nor terminating C
• Repeating and terminating D

In R, the additive inverse of a is

• 0 A
• 1 B
• -a C
• 1/a D

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

• 
  A
• 
  B
• 
  C
• 
  D
• 
  E

If z = (x,y) , then  z ̅  =

• (-x,y) A
• (x,-y) B
• (-x, -y) C
• None of these 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

• real part of z A
• imaginary part of z B
• conjugate of z C
• modulus of z D

The symbol of irrational is

• W A
• N B
• Q C
• Q' D

• 
  A
• 
  B
• 
  C
• 
  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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 1 A
• -1 B
• 
  C
• 
  D

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

√11 is

• an irrational number A
• Rational number B
• odd number C
• Negative number D

√x = ______ if is a prime number

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

Name the property used in 4.1 + (-4.1) = 0

• Additive inverse A
• Multiplication inverse B
• Additive identity C
• Multiplication identity D

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

• 
  A
• 
  B
• 
  C
• 
  D