ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

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

The identity element with respect to subtraction is

• 0 A
• 1 B
• -1 C
• Does not exist D

• Set of whole number A
• Rational Numbers B
• Complex numbers C
• Whole numbers D

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

Any recurring decimal represents a

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

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

• 
  A
• 
  B
• 
  C
• 
  D

The negative square root of 9 can be written as:

• -√9 A
• √9 B
• √18 C
• -√18 D

It is not possible to find the exact value of

• π A
• √9 B
• ∛27 C
• √1 D

Q∪ Q' =

• Q A
• Q' B
• N C
• R D

In set builder notation the set {0,1,2,........100} can be written as

• {x / xε B ∧ x ≤ 100} A
• {x / x ∈ W ∧ x < 101} B
• {x / x ∈ Z ∧ x < 101} C
• The set of first 100 whole numbers D

What is the conjugate of -7 -2i?

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

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

• √3 i A
• √7 B
• -2-i C
• √5 D

i =

• 
  A
• 
  B
• 
  C
• 
  D

i^-(4n+2) = -------------------------------

• 1 A
• i B
• -1 C
• -i D

√(-1b) =?

• b i A
• -i b B
• b2 C
• i√b D

0 (zero) is

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

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

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

The square root of 2i - 20i is

• +-(5 - 2i) A
• +-(5 + 2i) B
• (5 - 2i) C
• None of these D

• 15 A
• 15 i B
• -15 i C
• -15 D

What is the conjugate of -6 -i?

• -6 +i A
• 6+i B
• -6 -i C
• 6 -i D

∀a,b ε R, ab = be is a

• Commutative law of multiplication A
• Closure law of multiplication B
• Associative law of multiplication C
• Multiplicative identity D

The square root of 2i - 20i is

• ±(5 - 2i) A
• ±(5+ 2i) B
• (5 - 2i) C
• None of these D

If a set S contains n elements then P (S) has ........ number of elements

• 2ⁿ A
• 2ⁿ² B
• 2.n C
• n² D

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

• 
  A
• 
  B
• 
  C
• 
  D

Zero is

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

• 
  
  
  A
• 
  B
• 
  C
• 
  D

Multiplicative inverse of "1" is

• 0 A
• ±1 B
• 1 C
• {0,1} D

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

• 
  A
• 
  B
• 
  C
• 
  D

For any real numbers x,y,xy=o ⇒

• x ≠ 0 ∧ y ≠ 0 A
• x = 0 ∨ y = 0 B
• x = 0 C
• y = 0 D