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

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1.4142135... is ______

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

i¹⁰¹ =

• i A
• i² B
• -i C
• -1 D

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

• √3 i A
• √7 B
• -2-i C
• √5 D

The equation |x +4| = x has solution

• x = -2 A
• x = 2 B
• x = -4 C
• x = 4 D

The set of natural no. is closed under

• multiplication A
• subtraction B
• difference C
• division 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 additive inverse of 1 is

• 1 A
• -1 B
• 0 C
• Does not exist D

∀a,b,c∈R, a >b ∧ b>c ⇒ a >c is

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

• Principle of equality of fractions A
• Rule for product of fraction B
• Rule for quotient of fraction C

(√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

3.5+5.4=5.4+3.5 =8.9 this property of addition is called

• additive identity A
• assoclative property B
• commulative property C
• closure property D

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

∀ a ε R ∃ o ε R such that a + v = 0 + a = a is property of

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

Which element is the additive inverse of (a,b) in Complex numbers

• (a,0) A
• (0,b) B
• (a,b) C
• (-a,-b) D

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

Which element is the additive inverse of (a, b) in Complex numbers?

• (a, 0) A
• (0, b) B
• (a, b) C
• (-a, -b) 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

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

0 (zero) is

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

(a,b) +(-a,-b) =

• (0,0) A
• (a,b) B
• (-a,-b) C
• (1,1) D

The set of positive integers, 0 and negative integers is known as the set of

• Natural numbers A
• Rational numbers B
• All integers C
• Irrational numbers D

The identity element with respect to subtraction is

• 0 A
• 1 B
• -1 C
• Does not exist D

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

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  B
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  C
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  D

a.a^-1= a^-1.a = 1 is a

• Commutative law of multiplication A
• Multiplication identity B
• Associative law of multiplication C
• Multiplication inverse 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

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 1000 x 1 = 1000

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