ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

If A = {x / x ∈ R ∧ x² - 16 = 0} then A =

• - x A
• Infinite set B
• Φ C
• {-4,4} D

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

14 is not a

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

• 
  A
• 
  B
• 
  C
• 
  D
• 
  E

• -8 A
• 8 B
• 8i C
• 32 D

• 
  A
• 
  B
• 
  C
• None of these D

∀x,y∈R and x> 0 , y>0, if x > y

• 
  A
• 
  B
• 
  C
• None of these D

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

• A prime number A
• An integer B
• A whole number C
• An irrational number D

• 
  A
• 
  B
• 
  C
• 
  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

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

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

• Principle of equality of Fractions A
• Rule for product of fraction B
• Golden rule of fraction C
• Rule of quotient of Fraction D

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

Any whole number can be written as a product of factors which are

• Odd numbers A
• Prime number B
• Rational number C
• Even number D

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

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

The identity element with respect to subtraction is

• 0 A
• 1 B
• -1 C
• Does not exist D

The order axioms are satisfied by set of

• C A
• C and R B
• R C
• None of these D

The multiplicative inverse of (a,b) is

• 
  A
• 
  B
• 
  C
• 
  D

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

Name the property used in 4.1 + (-4.1) = 0

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

Every whole number is

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

In R the left cancellation property w.r.t addition is

• 
  A
• 
  B
• 
  C
• 
  D

∀a,b,c∈R and c>0,then

• a>b ⇒ ac < bc A
• a>b ⇒ ac > bc B
• a<b ⇒ ac > bc C
• None of these D

6 is

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