ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

∀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

• 1 A
• 3 B
• 2-i C
• -1 D

• 
  A
• 
  B
• 
  C
• 
  D

√-1 b=

• b A
• 2 B
• 2b C
• None of these D

• 
  A
• 
  B
• 
  C

The square roots of negative numbers is called

• Real no A
• Complex no B
• Positive no C
• Negative no 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

If z = (x,y) , then  z ̅  =

• (-x,y) A
• (x,-y) B
• (-x, -y) C
• None of these D

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

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

i¹⁰¹ =

• i A
• i² B
• -i C
• -1 D

The square root of 2i - 20i is

• +-(5 - 2i) A
• +-(5 + 2i) B
• (5 - 2i) C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  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

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

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

The equation |x +4| = x has solution

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

14 is not a

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

If a and b are real numbers then a+b is also real number this law is called

• associative law of addition A
• closure law of addition B
• Distributive law of addition C
• Commutative law of addition D

Name the property used in 4 + 9 = 9 + 4

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

2.333....is a

• Irrational no A
• Complex no B
• Rational no C
• None of these D

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

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

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

For any real numbers x,y,xy=o ⇒

• x ≠ 0 ∧ y ≠ 0 A
• x = 0 ∨ y = 0 B
• x = 0 C
• y = 0 D

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

Every real number is

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

• are real no A
• both are not real B
• are imaginary no C
• both are imaginary D

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

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