ECAT Pre Engineering Mathematic MCQ Test With Answer for Chapter 1 (Number System)

∀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
• 
  B
• 
  C
• 
  D

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

• One A
• Two B
• Three C
• Four D

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

• 
  A
• 
  B
• 
  C
• 
  D

The multiplicative inverse of 1 - 2i is

• 
  A
• 
  B
• 
  C
• 
  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

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

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

Decimal part of irrational number is

• Terminating A
• Repeating only B
• Neither repeating nor terminating C
• Repeating and terminating D

The multiplicative inverse of -3i is

• 3i A
• -3i B
• -1/3i C
• 1/3 i D

• N A
• r B
• 2r C
• π D

i =

• √1 A
• √2 B
• √-2 C
• √-1 D

• a = a A
• a < a B
• a > a C
• a²= a D

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

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

What is the conjugate of -6 -i?

• -6 +i A
• 6+i B
• -6 -i C
• 6 -i D

i is equal

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  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

The square roots of negative numbers is called

• Real no A
• Complex no B
• Positive no C
• Negative no D

Name the property used in 1000 x 1 = 1000

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

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

For each real number, there is a number which is its

• Negative A
• Possitive B
• Opposite C
• Similar D

Such fraction which can not be written in the form ofp⁄q where p,q and q≠ 0,such fractions are called.

• Fractinal numbers A
• Rational Numbers B
• Even Numbers C
• Whole Numbers D

√11 is

• an irrational number A
• Rational number B
• odd number C
• Negative number D

• 
  A
• 
  B
• 
  C
• 
  D

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

In R, the additive identity is

• 0 A
• 1 B
• -1 C
• None D

(a^-1)^-1=

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

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

• 
  A
• 
  B
• 
  C
• 
  D