ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

The square root of 2i - 20i is

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

Additive inverse of - a - b is

• a A
• -a + b B
• a - b C
• a + b D

i is equal

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

• 
  A
• 
  B
• 
  C
• 
  D

i⁹ =

• i² A
• -1 B
• 1 C
• i D

i² =

• 1 A
• 2 B
• -1 C
• 0 D

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

In (x + iy) x is the known as

• Imaginary part of complex number A
• Real part of complex number B
• Complex number C
• None of above D

Rational number is a number which can be written as a terminating decimal fraction or a

• Non-terminating decimal fraction A
• Non-recurring B
• Recurring decimal fraction C
• a, b and c D

• 
  A
• 
  B
• 
  C
• 
  D

a >b, b >c ⇒a >c is a

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

If z=(x,y) then z has no multiplicative inverse when

• x ≠ 0, y = 0 A
• x = 0, y = 0 B
• x = 0, y ≠ 0 C
• None of these D

What is the conjugate of -6 -i?

• -6 +i A
• 6+i B
• -6 -i C
• 6 -i D

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

• A natural number A
• A rational number B
• An irrational number C
• A whole number D

In R, the additive inverse of a is

• 0 A
• 1 B
• -a C
• 1/a D

√2 is a number

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

The set {0,-1} hold closure property under

• Addition A
• Both a & c B
• Multiplication C
• None of these D

Every natural number is

• A prime number A
• An irrational number B
• An integer C
• An even number D

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• A rational number A
• An irrational number B
• An odd number C
• A prime number D

• 
  A
• 
  B
• 
  C
• 
  D

The additive inverse of 0 is

• 1 A
• -1 B
• 0 C
• Does not exist D

• are real no A
• both are not real B
• are imaginary no C
• both are imaginary D

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

The additive inverse of 1 is

• 1 A
• -1 B
• 0 C
• Does not exist D