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

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

24 can be written as a product of

• Odd factors A
• Even factors B
• Whole factors C
• Prime factors D

• Reflexive property A
• Symmetric property B
• Transitive property C
• Additive property D

• 
  A
• 
  B
• 
  C

• Reflexive property A
• Symmetric property B
• Cancellations property w.r.t. addition C
• Transitive property 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 +bi) -c (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
• 
  B
• 
  C
• 
  D

Name the property used in 4.1 + (-4.1) = 0

• Additive inverse A
• Multiplication inverse B
• Additive identity C
• Multiplication identity D

• 1 A
• -1 B
• 
  C
• 
  D

i² = 

• 1 A
• 2 B
• -1 C
• 0 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

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

The equation |x +4| = x has solution

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

∀x,y,z ∈ R and z 0,then

• x > y ⇒ xz > yz A
• x<y ⇒ xz < yz B
• x < y ⇒ xz > yz C
• None of these D

Every recurring decimal represents

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

i¹⁰¹=

• i A
• i² B
• -i C
• -1 D

• 
  A
• 
  B
• 
  C
• 
  D

1/3 is ______

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

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

• 
  A
• 
  B
• 
  C
• 
  D

4/√49 is a

• Irrational Number A
• Prime Number B
• Rational number C
• Whole number D

The conjugate of √5 i is

• √5 A
• -√5 i B
• i C
• 5i D

The multiplicative inverse ofx^(-1) is

• x A
• a-2 B
• 0 C
• 1 D

√25 is a number

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

3/2 is

• An irrational number A
• Whole number B
• A positive integer C
• A rational number D

The square root of every incomplete square is an

• Rational numbers A
• Even numbers B
• odd numbers C
• Irrational numbers D

√(-1b) =?

• b i A
• -i b B
• b2 C
• i√b D

If z₁ = (a,b), z₂=(c,d), then z₁ z₂ = -------------------

• (ac,bd) A
• (ac+bd, ad-bc) B
• (ac-bd , ad+bc) C
• (ac-bd , ad-bc) D

The negative square root of 9 can be written as:

• -√9 A
• √9 B
• √18 C
• -√18 D

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

• a+a = 2a A
• a+a = 1 B
• a+a = 0 C
• None of these D