ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

∀a,b, c ε R ac = bc ⇒ a = b, c ≠ 0 is a

• Symmetric property A
• Cancellation property w.r.t multiplication B
• Reflexive property C
• Transitive property D

202.04 is an example of

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

• 
  A
• 
  B
• 
  C
• 
  D

i¹⁰¹=

• i A
• i² B
• -i C
• -1 D

Q∪ Q' =

• Q A
• Q' B
• N C
• R D

In R, the multiplicative identity is

• 0 A
• 1 B
• -1 C
• None D

6 is

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

The multiplicative inverse of -3i is

• 3i A
• -3i B
• -1/3i C
• 1/3 i D

QUQ'

• 
  A
• 
  B
• 
  C
• 
  D

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

∀ z ∈ C, multipliucative is

• (1,1) A
• (1,0) B
• (0,1) C
• None of these 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

Every recurring decimal represents

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

In (x + iy), y is called as

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

I is not

• Real number A
• Natural number B
• Prime Number C
• Whole Number 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

• 
  A
• 
  B
• 
  C
• 
  D

(a,0) x (c,0) =

• (0,ac) A
• (ac,0) B
• (0,0) C
• (a,c) D

In (x +iy) y is called as

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

The order axioms are satisfied by set of

• C A
• C and R B
• R C
• None of these D

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

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

• 
  A
• 
  B
• 
  C
• 
  D

Name the property used in 4 x (5 x 8) = ( 4 x 5) x 8

• Associative property of addition A
• Associative property of multiplication B
• Additive identity C
• Multiplicative identity D

The square root of every incomplete square is an

• Rational numbers A
• Even numbers B
• odd numbers C
• Irrational numbers D

The additive inverse of 0 is

• 1 A
• -1 B
• 0 C
• Does not exist D

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

The set of natural no. is closed under

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

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

• 
  A
• 
  B
• 
  C
• 
  D

(a, b) + (-a, -b) =

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