ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

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

• One A
• Two B
• Three C
• Four D

∀a,b, c ε R,a +c = b + c = > a = b

• Reflexive property A
• Symmetric property B
• Cancellations property w.r.t. addition C
• Transitive property D

(a,b) +(-a,-b) =

• (0,0) A
• (a,b) B
• (-a,-b) C
• (1,1) D

The equation |x +4| = x has solution

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

Name the property used in a (b-c) = ab - ac

• commutative property of multiplication A
• distributive property of multiplication B
• associative property of multiplication C
• multiplicative inverse D

The set of rationals numbers between 0 and I is

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

If Z₁= 1 + i, Z₂= 2+3i, then |Z₁- Z₂| = ?

• 
  A
• 
  B
• 
  C
• 
  D

i is equal

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

4/√49 is a

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

The multiplicative inverse of 0 is

• 1 A
• -1 B
• 0 C
• Does not exist D

Every recurring decimal represents

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

Every natural number is

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

Zero is

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

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

• One A
• Two B
• Three C
• Four D

• Associative law of addition A
• Commutative law of addition B
• Additive identity C
• Closure law of addition D

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

If z=(x,y) then z has no multiplicative inverse when

• x ≠ 0, y = 0 A
• x = 0, y = 0 B
• x = 0, y ≠ 0 C
• None of these D

√2 is a number

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

Every prime number is also

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

In (x +iy) y is called as

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

If z₁ =√-36 ,z₂ =√-25,z3 =√-16 then

• 15 A
• 15i B
• -15i C
• -15 D

Multiplicative inverse of "1" is

• 0 A
• ±1 B
• 1 C
• {0,1} D

In R, the multiplicative identity is

• 0 A
• 1 B
• -1 C
• None D

14 is not a

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 1 B
• 
  C
• -1 D

The multiplicative inverse of -3i is

• 3i A
• -3i B
• -1/3i C
• 1/3 i D

The property used in -3 <-2 ⇒0 <1

• Commutative property A
• Additive property of inequality B
• Additive inverse C
• Additive identity D

√2 +√3 +√5) = (√2 +√3 +√5: this property is called

• associative property w.r.t addition A
• commutative property B
• Closure property w.r.t addition C
• Additive identity D