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

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

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

∀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

∀x,y,z ∈ R and z 0,then

• x > y ⇒ xz > yz A
• x<y ⇒ xz < yz B
• x < y ⇒ xz > yz C
• None of these D

π is ______

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

The square root of 2i - 20i is

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

The negative square root of 9 can be written as:

• -√9 A
• √9 B
• √18 C
• -√18 D

i² =

• 1 A
• 2 B
• -1 C
• 0 D

• are real no A
• both are not real B
• are imaginary no C
• both are imaginary D

• real number A
• complex number B
• rational number C
• irrational number D

For each real number, there is a number which is its

• Negative A
• Possitive B
• Opposite C
• Similar D

i³ =

• -1 A
• i B
• -i C
• 1 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

π is the ration of

• Area of a circle to its diameter A
• Area of a circle to its radius B
• Circumference of a circle to its diameter C
• Circumference of circle to its radius D

• a = a A
• a < a B
• a > a C
• a²= a D

If Z = (1,2), then Z^-1 =?

• (0.2, 0.4) A
• (-0.2 ,0.4) B
• (0.2,-0.4) C
• (-0.2,-0.4) D

√11 is

• an irrational number A
• Rational number B
• odd number C
• Negative 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

The decimal fraction in which we have finite number of digits in its decimal part is called.

• recurring decimal fraction A
• Non terminating faction B
• Non recurring fraction C
• terminating decimal fraction D

The solution set of the equation |3x + 2| = 5 is

• 
  A
• 
  B
• 
  C
• 
  D

In R, the multiplicative identity is

• 0 A
• 1 B
• -1 C
• None D

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

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

If z₁ = 1 + 2i, z₂ = 3 + 4i then

• z₁ > z₂ A
• z₁ = z₂ B
• z₁ < z₂ C
• None of these D

√23 is

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

• 
  A
• 1 B
• -1 C
• 
  D

The identity element with respect to subtraction is

• 0 A
• 1 B
• -1 C
• Does not exist D

• 
  A
• 
  B
• 
  C
• 
  D

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

• a+a = 2a A
• a+a = 1 B
• a+a = 0 C
• None of these D

∀x,y∈ R and x < 0, y < 0, which one is true 

• xy < o A
• xy = o B
• xy > o C
• None of these D

The conjugate of √5 i is

• √5 A
• -√5 i B
• i C
• 5i D