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

• x A
• 
  B
• y C
• 
  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

• Multiplication property A
• Additive property B
• Trichotomy property C
• Transitive property of inequality 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

For any real numbers x,y,xy=o ⇒

• x ≠ 0 ∧ y ≠ 0 A
• x = 0 ∨ y = 0 B
• x = 0 C
• y = 0 D

In set builder notation the set {0,1,2,........100} can be written as

• {x / xε B ∧ x ≤ 100} A
• {x / x ∈ W ∧ x < 101} B
• {x / x ∈ Z ∧ x < 101} C
• The set of first 100 whole numbers 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

The identity element with respect to subtraction is

• 0 A
• 1 B
• -1 C
• Does not exist D

The multiplicative inverse of 0 is

• 1 A
• -1 B
• 0 C
• Does not exist D

• Commutative property of addition A
• Closure property of addition B
• Additive inverse C
• Associative property w.r.t. to addition D

Name the property used in 1000 x 1 = 1000

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

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

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

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

• One A
• Two B
• Three C
• Four D

Any recurring decimal represents a

• Irrational no A
• Integer B
• Rational no C
• None of these D

What is the conjugate of -7 -2i?

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

• 
  A
• 
  B
• 
  C
• 
  D

The additive inverse of 1 is

• 1 A
• -1 B
• 0 C
• Does not exist D

Zero is

• An irrational number A
• A rational number B
• A negative integer C
• A positive number D

The multiplicative inverse of -3i is

• 3i A
• -3i B
• -1/3i C
• 1/3 i D

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

• 0 A
• 1 B
• -1 C
• 2 D

• 
  A
• 1 B
• -1 C
• 
  D

• 15 A
• 15 i B
• -15 i C
• -15 D

A non-terminating, non-recurring decimal represent

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

• -3 -2i A
• 3 +2i B
• 1 + 2i C
• 1 - 2i 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

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

In R, the additive identity is

• 0 A
• 1 B
• -1 C
• None D

The polar form of complex number x ≠ I y =

• r cos θ+ r sin θ A
• r cos θ+ is sin θ B
• cos θ+ r sin θ C
• i cos θ+ i sin θ D