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

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

Some of two real numbers is also a real number , this property is called:

• Commutative property w.r.t addition A
• Closure property w.r.t. addition B
• Associative property w.r.t. addition C
• Distributive property w.r.t addition D

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

(a-1)-1 =

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

The additive identity of real number is

• 1 A
• 2 B
• 1/2 C
• 0 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 property used in -3 <-2 ⇒0 <1

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

• 
  A
• 
  B
• 
  C
• 
  D

202.04 is an example of

• Recurring decimals A
• Non-recurring decimals B
• Terminating decimals C
• None of above D

What is the conjugate of -6 -i?

• -6 +i A
• 6+i B
• -6 -i C
• 6 -i D

• x A
• 
  B
• y C
• 
  D

(a +bi) -c (c +di) =

• (a +b) = (c +d) A
• (a +c) + i(b +d) B
• (a -c) + (c -d)i C
• (a -c) +(b -d) i D

i⁹ =

• i² A
• -1 B
• 1 C
• i D

• Set of whole number A
• Rational Numbers B
• Complex numbers C
• Whole numbers D

a >b ⇒a +c >b +c is known as

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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• (a + b)c = ac + bc A
• a + b = b + a B
• (a + b) + c = a + (b + c) C
• a(b +c) = ab + ac D

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

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

• 1 A
• 3 B
• 2-i C
• -1 D

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

• 
  A
• 1 B
• 
  C
• -1 D

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

i^-(4n+2) = -------------------------------

• 1 A
• i B
• -1 C
• -i D

Every real number is

• A complex number A
• A rational number B
• A natural number C
• A prime number D

• 
  A
• 
  B
• 
  C
• 
  D

The additive inverse of 1 is

• 1 A
• -1 B
• 0 C
• Does not exist D

The product of complex numbers (a,b) and (c,d) is

• (ac, bd) A
• (ac-bd, ad+bc) B
• (ab,cd) C
• (ac+bd,ad-bc) 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