ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

1/3 is ______

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

Total number of subsets that can be formed out of the set {a,b,c} is

• 1 A
• 4 B
• 8 C
• 12 D

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

√23 is

• A rational number A
• A irrational number B
• An even integer C
• A factor of 36 D

∀ z ∈ C, multipliucative is

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

∀x, y ∈ R, either x = y or x > y or x < y is

• Transitive property A
• Reflexive property B
• Trichotomy property C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

i is equal

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

• 
  A
• 
  B
• 
  C
• 
  D

If a and b are real numbers then a+b is also real number this law is called

• associative law of addition A
• closure law of addition B
• Distributive law of addition C
• Commutative law of addition D

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

• √5 A
• √7 B
• -1-2i C
• √3 D

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

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

(a-1)-1 =

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

In R, the multiplicative inverse of a is

• 0 A
• 1 B
• -a C
• 1/a 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

Any whole number can be written as a product of factors which are

• Odd numbers A
• Prime number B
• Rational number C
• Even number D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

In R the right cancellation property w.r.t. addition is

• 
  A
• 
  B
• 
  C
• 
  D

a >b ⇒a +c >b +c is known as

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

The symbol of irrational is

• W A
• N B
• Q C
• Q' D

The square roots of negative numbers is called

• Real no A
• Complex no B
• Positive no C
• Negative no 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 = -i C
• x = 2, y = 2 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

• 0 A
• 1 B
• -1 C
• None of these D