ECAT Pre Engineering Mathematic MCQ Test With Answer for Chapter 1 (Number System)

In R, the multiplicative inverse of a is

• 0 A
• 1 B
• -a C
• 1/a 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

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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• 
  A
• 
  B
• 
  C
• 
  D

(a-1)-1 =

• a-1 A
• a B
• -a C
• None of above 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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  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

A subset of set of complex number whose elements are of the form (a,0) is called

• Real number A
• Complex number B
• Rational number C
• Irrational number D

It is not possible to find the exact value of

• π A
• √9 B
• ∛27 C
• √1 D

Gooch crucible is made of :

• Brass. A
• Porcelain. B
• Bronze. C
• Gold. D

6 is

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

√2 is a number

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

Associative law of multiplication

• ab - ba A
• a(bc) = (ab) c B
• a(b + c) = ab +ac C
• (a +b)c = ac + bc D

The multiplicative inverse of 0 is

• 1 A
• -1 B
• 0 C
• Does not exist D

If in a set of real no a is multiplicative identity then

• a,a = a² A
• a,a = 1 B
• a,a = 0 C
• None of these D

∀x, y ∈ R, either x = y or x > y or x < y is

• Transitive property A
• Reflexive property B
• Trichotomy property 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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

Total number of subsets that can be formed out of the set {a,b,c} is

• 1 A
• 4 B
• 8 C
• 12 D

i¹⁰¹=

• i A
• i² B
• -i C
• -1 D

The value of x, and y, when (x + iy)²= 5 + 4i

• X = 2, y = 1 A
• X = -2, y = 1 B
• X = 2, y = -1 C
• X = 2, y = 2 D

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

• 
  A
• 
  B
• 
  C
• 
  D

The multiplicative inverse of 4 is

• -4 A
• -1/4 B
• 1/4 C
• 1 D