ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

The identity element with respect to subtraction is

• 0 A
• -1 B
• 0 and 1 C
• None of thes D

If ∀a,b ε R,then a +b  ε  R is a property

• Closure law of addition A
• Associative law of addition B
• Additive inverse C
• Additive identity 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

i¹⁰¹ =

• i A
• i² B
• -i C
• -1 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

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 additive identity of real number is

• 1 A
• 2 B
• 1/2 C
• 0 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

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

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

√-1 b=

• b A
• 2 B
• 2b C
• None of these D

(a^-1)^-1=

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

If z₁= 2 + 6i and z₂= 3 + 7i, then which expression defines the product of z₁and z₂?

• 36 + (-32)i A
• -36 + 32i B
• 6 + (-11)1 C
• 0, +(-12)i D

• 
  A
• 
  B
• 
  C
• 
  D

• N A
• r B
• 2r C
• π D

∀a,b,c∈R, a >b ∧ b>c ⇒ a >c is

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

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

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

Which of the following has the same value as i¹¹³?

• i A
• -1 B
• -i C
• 1 D

Multiplicative inverse of 0 is

• 0 A
• 1 B
• ±1 C
• Does not exist D

The√ is used for the

• Positive square root A
• Negative square root B
• +ve and -ve square root C
• Whole number D

In R, the multiplicative inverse of a is

• 0 A
• 1 B
• -a C
• 1/a D

If 0 = R, thenthe additive inverse of a is

• 1/9 A
• ^1/-9 B
• a C
• -a D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 1 B
• -1 C
• 
  D

There is no element common in

• N and W A
• E and W B
• N and O C
• Q and Q' D

• 
  A
• 
  B
• 
  C
• 
  D

• Rational A
• Irrational B
• Natural C
• Odd D

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

6 is

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

If z₁ =√-36 ,z₂ =√-25,z3 =√-16 then

• 15 A
• 15i B
• -15i C
• -15 D

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

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