ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

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

6 is

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

2.333....is a

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

The set of rationals numbers between 0 and I is

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

√x = ______ if is a prime number

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

(a-1)-1 =

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

In (x +iy) y is called as

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

∀x,y∈R and x> 0 , y>0, if x > y

• 
  A
• 
  B
• 
  C
• None of these D

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

• 
  A
• 
  B
• 
  C

The multiplicative inverse of (a,b) is

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

Any recurring decimal represents a

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

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

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

i² =

• 1 A
• 2 B
• -1 C
• 0 D

i⁹ =

• i² A
• -1 B
• 1 C
• i D

In R the right cancellation property w.r.t. addition is

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• real part of z A
• imaginary part of z B
• conjugate of z C
• modulus of z D

• 
  A
• 
  B
• 
  C
• 
  D

π is ______

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

• 
  A
• 
  B
• 
  C
• 
  D

The set of natural no. is closed under

• multiplication A
• subtraction B
• difference C
• division D

14 is not a

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

(a^-1)^-1=

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

The equation |x +4| = x has solution

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

What is the conjugate of -7 -2i?

• -7 + 2i A
• 7 + 2i B
• 7 -2i C
• None of these D

What is the conjugate of -7 -2i ?

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