ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

√23 is

• A rational number A
• A irrational number B
• An even integer C
• A factor of 36 D

If 4 > b or a < b than a = b is a

• Additive property A
• Transitive property B
• Trichotomy property of inequality C
• None of above D

The multiplicative inverse ofx^(-1) is

• x A
• a-2 B
• 0 C
• 1 D

6 is

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

The value of i⁴ⁿ⁺¹

• 1 A
• -1 B
• i C
• i² 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
• 
  B
• 
  C
• 
  D

• 15 A
• 15 i B
• -15 i C
• -15 D

• 
  A
• 
  B
• 
  C
• 
  D

A prime number can be a factor of a square only if it occurs in the square at least

• Once A
• Thirce B
• Twice C
• None of these D

∀ z ∈ C, multipliucative is

• (1,1) A
• (1,0) B
• (0,1) C
• None of these 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

• 
  A
• 
  B
• 
  C
• 
  D

• 0 A
• 1 B
• -1 C
• 2 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

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

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

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

• 
  A
• 1 B
• 
  C
• -1 D

• 
  A
• 
  B
• 
  C
• 
  D

• (x, y) A
• (kx, y) B
• (x, ky) C
• (kx, ky) D

The property used in -3 <-2 ⇒0 <1

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

(a+bi) - (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 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

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

6 is

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

The symbol of irrational is

• W A
• N B
• Q C
• Q' D

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

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

The sum of complex number (a,b) and (c,d) is

• 
  A
• 
  B
• 
  C
• 
  D

In R, the additive identity is

• 0 A
• 1 B
• -1 C
• None D