ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

∀a,b, c ε R ac = bc ⇒ a = b, c ≠ 0 is a

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

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

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

√x = ______ if is a prime number

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

If P is a whole number greater than 1, which has only P and I are factors. Then P is called

• Wholw number A
• Prime number B
• Even number C
• Odd number D

• (x, y) A
• (kx, y) B
• (x, ky) C
• (kx, ky) 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√ is used for the

• Positive square root A
• Negative square root B
• +ve and -ve square root C
• Whole number D

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

• 
  A
• 
  B
• 
  C
• 
  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

Multiplicative inverse of "1" is

• 0 A
• ±1 B
• 1 C
• {0,1} D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

π is the ration of

• Area of a circle to its diameter A
• Area of a circle to its radius B
• Circumference of a circle to its diameter C
• Circumference of circle to its radius D

• 
  A
• 
  B
• 
  C
• 
  D

(√3+√5)+√7 = √3 +(√5 +√7) property used in above is

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

In (x + iy) x is the known as

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

√(-1b) =?

• b i A
• -i b B
• b2 C
• i√b D

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

• One A
• Two B
• Three C
• Four D

Every real number is

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

What is the conjugate of -6 -i

• -6 +i A
• 6 + i B
• -6 -i C
• 6 -i D

• z is purely imaginary A
• a is any complex number B
• z is real C
• None of these D

i =

• √1 A
• √2 B
• √-2 C
• √-1 D

Name the property used in 4 x (5 x 8) = ( 4 x 5) x 8

• Associative property of addition A
• Associative property of multiplication B
• Additive identity C
• Multiplicative identity D

The symbol of irrational is

• W A
• N B
• Q C
• Q' 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

• are real no A
• both are not real B
• are imaginary no C
• both are imaginary D

The set of positive integers, 0 and negative integers is known as the set of

• Natural numbers A
• Rational numbers B
• All integers C
• Irrational numbers D

i² =

• 1 A
• 2 B
• -1 C
• 0 D