ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

Every whole number is

• A real number A
• An irrational number B
• A prime number C
• A negative integer D

What is the conjugate of -6 -i?

• -6 +i A
• 6+i B
• -6 -i C
• 6 -i D

1/3 is ______

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

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

• One A
• Two B
• Three C
• Four D

• Additive property of inequality A
• Commutative property B
• Additive inverse C
• Additive 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

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

The multiplicative inverse of 0 is

• 1 A
• -1 B
• 0 C
• Does not exist D

√2 +√3 +√5) = (√2 +√3 +√5: this property is called

• associative property w.r.t addition A
• commutative property B
• Closure property w.r.t addition C
• Additive identity D

∀ z ∈ C, multipliucative is

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

2.333....is a

• Irrational no A
• Complex no B
• Rational no C
• None of these 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

What is the conjugate of -7 -2i?

• -7 + 2i A
• 7 + 2i B
• 7 -2i C
• None of these D

Multiplicative inverse of "1" is

• 0 A
• ±1 B
• 1 C
• {0,1} D

i² =

• 1 A
• 2 B
• -1 C
• 0 D

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

• A complex number A
• A rational number B
• A natural number C
• An irrational number 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

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

• √3 i A
• √7 B
• -2-i C
• √5 D

0.25 is ______

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

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

Name the property used in 4 + 9 = 9 + 4

• Associative property of addition A
• Commutative property of addition B
• Distributive property C
• Additive identity D

The additive inverse of 0 is

• 1 A
• -1 B
• 0 C
• Does not exist D

(a-1)-1 =

• a-1 A
• a B
• -a C
• None of above D

The symbol of irrational is

• W A
• N B
• Q C
• Q' D

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

• 
  A
• 
  B
• 
  C
• 
  D

∀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

Every irrational number is

• A real number A
• A prime number B
• A natural number C
• An integer D

• A rational number A
• A natural number B
• An irrational number C
• An integer 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