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

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 ε R,a +c = b + c = > a = b

• Reflexive property A
• Symmetric property B
• Cancellations property w.r.t. addition C
• Transitive property 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

QUQ'

• 
  A
• 
  B
• 
  C
• 
  D

If 0 = R, thenthe additive inverse of a is

• 1/9 A
• ^1/-9 B
• a C
• -a D

6 is

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

The square root of 2i - 20i is

• ±(5 - 2i) A
• ±(5+ 2i) B
• (5 - 2i) C
• None of these D

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

i⁹ =

• i² A
• -1 B
• 1 C
• i D

The multiplicative inverse of 2/3 is

• 3/2 A
• -2/3 B
• -3/2 C
• 1 D

• 
  A
• 
  B
• 
  C
• 
  D

The additive inverse of 1 is

• 1 A
• -1 B
• 0 C
• Does not exist D

14 is not a

• Prime number A
• Whole number B
• Even number C
• Real number D

If a > b or a < b than a = b is a

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

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

If in a set of real no a is multiplicative identity then

• a,a = a² A
• a,a = 1 B
• a,a = 0 C
• None of these 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

In R, the multiplicative identity is

• 0 A
• 1 B
• -1 C
• None D

The set of rational number is represented by

• W A
• R B
• Q' C
• Q
  
  
  D

The multiplicative inverse of 0 is

• 1 A
• -1 B
• 0 C
• Does not exist D

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

• √3 i A
• √7 B
• -2-i C
• √5 D

Every whole number is

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

Which of the following has the same value as i¹¹³?

• i A
• -1 B
• -i C
• 1 D

O is ______

• A positive integer A
• A negative integer B
• A natural number C
• An integer 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

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

The value of i⁴ⁿ⁺¹

• 1 A
• -1 B
• i C
• i² D

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

(√3+√5)+√7 = √3 +(√5 +√7) property used in above is

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