ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

√11 is

• an irrational number A
• Rational number B
• odd number C
• Negative number D

What is the conjugate of -7 -2i ?

• -7 + 2i A
• 7 +2i B
• 7 -2i C
• √53 D

√x = ______ if is a prime number

• Rational no A
• Natural no B
• Irrational no C
• Complex no D

If z₁ = 1 + 2i, z₂ = 3 + 4i then

• z₁ > z₂ A
• z₁ = z₂ B
• z₁ < z₂ C
• None of these D

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

If a set S contains n elements then P (S) has ........ number of elements

• 2ⁿ A
• 2ⁿ² B
• 2.n C
• n² D

• 
  A
• 
  B
• 
  C
• 
  D

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

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

Every prime number is also

• Rational number A
• Even number B
• Irrational number C
• Multiple of two numbers D

The conjugate of √5 i is

• √5 A
• -√5 i B
• i C
• 5i D

The identity element with respect to subtraction is

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

In R the number of identity element w.r.t '+' is

• One A
• Two B
• Three C
• Four D

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

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

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

The set of rationals numbers between 0 and I is

• Finite A
• Null set B
• Infinite C
• None of these D

The multiplicative inverse ofx^(-1) is

• x A
• a-2 B
• 0 C
• 1 D

• -8 A
• 8 B
• 8i C
• 32 D

• 
  A
• 
  B
• 
  C
• 
  D

• Commutative law of multiplication A
• Closure law of multiplication B
• Associative law of multiplication C
• Multiplication identity D

• 
  A
• 
  B
• 
  C
• 
  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

Every real number is

• a positive integer A
• a rational number B
• a negative integer C
• a complex number D

i³=

• -1 A
• i 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 = -i C
• x = 2, y = 2 D

• 
  A
• 
  B
• 
  C
• 
  D

In R, the additive inverse of a is

• 0 A
• 1 B
• -a C
• 1/a D

0.25 is ______

• An irrational number A
• A natural number B
• A prime number C
• A rational number 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