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Mathematics ECAT Pre Engineering Chapter 1 Number System Online Test
| Sr. # | Questions | Answers Choice |
|---|---|---|
| 1 | (a-1)-1 = | a-1 a -a None of above |
| 2 | a >b ⇒a +c >b +c is known as | Trichotomy property Additive property of inequality Transitive property Multiplicative property |
| 3 | a >b, b >c ⇒a >c is a | Multiplicative property Additive property Trichotomy property Transitive property of inequality |
| 4 | If a > b or a < b than a = b is a | Additive property Transitive property Trichotomy property of inequality |
| 5 | ∀a,b, c ε R ac = bc ⇒ a = b, c ≠ 0 is a | Symmetric property Cancellation property w.r.t multiplication Reflexive property Transitive property |
| 6 | ∀a,b, c ε R,a +c = b + c = > a = b | Reflexive property Symmetric property Cancellations property w.r.t. addition Transitive property |
| 7 | ∀a,b ε R, ab = be is a | Commutative law of multiplication Closure law of multiplication Associative law of multiplication Multiplicative identity |
| 8 | a.a-1 = a-1.a = 1 is a | Commutative law of multiplication Multiplicative identity Associative law of multiplication Multiplicative inverse |
| 9 | Associative law of multiplication | ab - ba a(bc) = (ab) c a(b + c) = ab +ac (a +b)c = ac + bc |
| 10 | ∀ a ε R ∃ o ε R such that a + v = 0 + a = a is property of | Commutative law of addition Associative law of addition Additive identity Additive inverse |
| 11 | If ∀a,b ε R,then a +b ε R is a property |
Closure law of addition Associative law of addition Additive inverse Additive identity |
| 12 | 202.04 is an example of | Recurring decimals Non-recurring decimals Terminating decimals None of these |
| 13 | √2 is a number | Rational Irrational Even Odd |
| 14 | √25 is a number | Rational Irrational Natural Odd |
| 15 | The symbol of irrational is | W N Q Q<i>'</i> |
| 16 | QUQ, = | N R W Z |
| 17 | The set {1,2,3,4......} is called | Set of natural numbers Set of whole numbers Set of rational number Set of irrational numbers |
| 18 | Geometrically the modulus of a complex number represents its distance from the | Point (1,0) Point (0,1) Point (1,1) Point (0,0) |
| 19 | The square root of 2i - 20i is | ±(5 - 2i) ±(5+ 2i) (5 - 2i) None of these |
| 20 | The value of i4n+1 | 1 -1 i i<sup>2</sup> |
| 21 | What is the conjugate of -7 -2i ? | -7 + 2i 7 +2i 7 -2i √53 |
| 22 | The equation |x +4| = x has solution | x = -2 x = 2 x = -4 x = 4 |
| 23 | If z1 =√-36 ,z2 =√-25,z3 =√-16 then | 15 15i -15i -15 |
| 24 | if Z1 = 1+i, Z2= 2+3i, then |Z2 -Z1| = | √3 i √7 -2-i √5 |
| 25 | If Z = (1,2), then Z-1 =? | (0.2, 0.4) (-0.2 ,0.4) (0.2,-0.4) (-0.2,-0.4) |
| 26 | The value of x and y when (x + iy)2 = 5 - 4i | x = 2, y = -1 x = -2, y = 1 x = 2, y = -i x = 2, y = 2 |
| 27 | Every prime number is also | Rational number Even number Irrational number Multiple of two numbers |
| 28 | √23 is | A rational number A irrational number An even integer A factor of 36 |
| 29 | 6 is | A prime integar An irrational number A rational number An odd integer |
| 30 | 0 (zero) is | An irrational number A rational number A negative integer A positive number |
