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

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

What is the conjugate of -6 -i?

• -6 +i A
• 6+i B
• -6 -i C
• 6 -i D

Which of the following sets has closure property w.r.t. addition

• { 0 } A
• { 1 } B
• { 0, -1} C
• { 1, -1} D

Name the property used in 100 + 0 = 100

• Additive inverse A
• Multiplicative inverse B
• Additive identity C
• Multiplicative identity D

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

Name the property used in 1000 x 1 = 1000

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

(a,0) x (c,0) =

• (0,ac) A
• (ac,0) B
• (0,0) C
• (a,c) D

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

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

If a set S contains n elements then P (S) has ........ number of elements

• 2ⁿ A
• 2ⁿ² B
• 2.n C
• n² D

QUQ'

• 
  A
• 
  B
• 
  C
• 
  D

The identity element with respect to subtraction is

• 0 A
• 1 B
• -1 C
• Does not exist D

202.04 is an example of

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

Union of the sets of rational and irrational numbers is called 6th set of

• Natural numbers A
• Real numbers B
• Whole numbers C
• Prime numbers D

The set {1, 2, 3, 4, ....} is called

• Set of Natural numbers A
• Set of whole numbers B
• Set of rational number C
• Set of irrational numbers D

If z₁ = (a,b), z₂=(c,d), then z₁ z₂ = -------------------

• (ac,bd) A
• (ac+bd, ad-bc) B
• (ac-bd , ad+bc) C
• (ac-bd , ad-bc) 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 right cancellation property w.r.t. addition is

• 
  A
• 
  B
• 
  C
• 
  D

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

∀a,b,c∈R, a >b ∧ b>c ⇒ a >c is

• Trichotomy property A
• Transitive property B
• Symmetric property C
• Additive property 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

i³=

• -1 A
• i B
• -i C
• 1 D

Rational number is a number which can be written as a terminating decimal fraction or a

• Non-terminating decimal fraction A
• Non-recurring B
• Recurring decimal fraction C
• a, b and 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

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

• Symmetric property A
• Cancellation property w.r.t. multiplication B
• Reflexive property C
• Transitive property 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

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

In (x + iy), y is called as

• Imaginary part A
• Complex number B
• Real part C
• None of above D