ECAT Pre General Science MCQ Test With Answer for Mathematics Chapter 1

2/9,5/7∈ R,(2│9)(5│7)=10/63∈R this property is called

• Associative property A
• Identity property B
• Commutative property C
• Closure property w.r.t multiplication D

In (x + iy), y is called as

• Imaginary part A
• Complex number B
• Real part C
• None of above D

• 15 A
• 15 i B
• -15 i C
• -15 D

• 0 A
• 1 B
• -1 C
• None of these 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

√25 is a number

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

(a^-1)^-1=

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

• 
  A
• 
  B
• 
  C
• 
  D

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

∀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

• 
  A
• 
  B
• 
  C
• 
  D

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

Every natural number is

• A prime number A
• An irrational number B
• An integer C
• An even number 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

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

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

Every prime number is also

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

i¹⁰¹=

• i A
• i² B
• -i C
• -1 D

The polar form of complex number x ≠ I y =

• r cos θ+ r sin θ A
• r cos θ+ is sin θ B
• cos θ+ r sin θ C
• i cos θ+ i sin θ D

Geometrically, the modulus of a complex number represents its distance from the

• Point (1, 0) A
• Point (0, 1) B
• Point (1, 1) C
• Point (0, 0) D

The identity element with respect to subtraction is

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

i⁹ =

• i² A
• -1 B
• 1 C
• i D

• 1 A
• -i B
• i C
• 0 D

Name the property used in 1000 x 1 = 1000

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

1.4142135... is ______

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

The solution set of the equation |3x + 2| = 5 is

• 
  A
• 
  B
• 
  C
• 
  D

It is not possible to find the exact value of

• π A
• √9 B
• ∛27 C
• √1 D

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