ECAT Pre Engineering Mathematic MCQ Test With Answer for Chapter 1 (Number System)

Every prime number is also

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

i¹⁰¹ =

• i A
• i² B
• -i C
• -1 D

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

What is the conjugate of -6 -i?

• -6 +i A
• 6+i B
• -6 -i C
• 6 -i D

The additive identity of real number is

• 1 A
• 2 B
• 1/2 C
• 0 D

• 
  A
• 
  B
• 
  C
• 
  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

• 
  A
• 
  B
• 
  C
• 
  D

If A = {x / x ∈ R ∧ x² - 16 = 0} then A =

• - x A
• Infinite set B
• Φ C
• {-4,4} D

Q∪ Q' =

• Q A
• Q' B
• N C
• R D

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

• 
  A
• 
  B
• 
  C
• 
  D

√-1 b=

• b A
• 2 B
• 2b C
• None of these D

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

If P is a whole number greater than 1, which has only P and I are factors. Then P is called

• Wholw number A
• Prime number B
• Even number C
• Odd number D

The multiplicative inverse of 0 is

• 1 A
• -1 B
• 0 C
• Does not exist D

i³ =

• -1 A
• i B
• -i C
• 1 D

In R, the additive inverse of a is

• 0 A
• 1 B
• -a C
• 1/a D

Which element is the additive inverse of (a,b) in Complex numbers

• (a,0) A
• (0,b) B
• (a,b) C
• (-a,-b) D

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

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

• 0 A
• 1 B
• -1 C
• 2 D

202.04 is an example of

• Recurring decimals A
• Non-recurring decimals B
• Terminating decimals C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

∀ a ε R ∃ o ε R such that a + v = 0 + a = a is property of

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

Which of the following has the same value as i¹¹³?

• i A
• -1 B
• -i C
• 1 D

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

• One A
• Two B
• Three C
• Four D

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

• √3 i A
• √7 B
• -2-i C
• √5 D