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ECAT Computer Science Entry Test
| Sr. # | Questions | Answers Choice |
|---|---|---|
| 1 | i9 = | i<sup>2</sup> -1 1 i |
| 2 | i2 = | 1 2 -1 0 |
| 3 | (a,0) x (c,0) = | (0,ac) (ac,0) (0,0) (a,c) |
| 4 | (a,b) +(-a,-b) = | (0,0) (a,b) (-a,-b) (1,1) |
| 5 | The conjugate of √5 i is | √5 -√5 i i 5i |
| 6 | (a +bi) -c (c +di) = | (a +b) = (c +d) (a +c) + i(b +d) (a -c) + (c -d)<i>i</i> (a -c) +(b -d) <i>i</i> |
| 7 | i3 = | -1 i -i 1 |
| 8 | In (x +iy) y is called as | Imaginary part Complex number Real part None of above |
| 9 | In (x + iy) x is the known as | Imaginary part of complex number Real part of complex number Complex number None of above |
| 10 | i = | √1 √2 √-2 √-1 |
| 11 | The property used in -3 <-2 ⇒0 <1 | Commutative property Additive property of inequality Additive inverse Additive identity |
| 12 | (√3+√5)+√7 = √3 +(√5 +√7) property used in above is | Commutative property of addition Closure property of addition Additive inverse Associative property w.r.t to adition |
| 13 | (a-1)-1 = | a-1 a -a None of above |
| 14 | a >b ⇒a +c >b +c is known as | Trichotomy property Additive property of inequality Transitive property Multiplicative property |
| 15 | a >b, b >c ⇒a >c is a | Multiplicative property Additive property Trichotomy property Transitive property of inequality |
| 16 | If a > b or a < b than a = b is a | Additive property Transitive property Trichotomy property of inequality |
| 17 | ∀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 |
| 18 | ∀a,b, c ε R,a +c = b + c = > a = b | Reflexive property Symmetric property Cancellations property w.r.t. addition Transitive property |
| 19 | ∀a,b ε R, ab = be is a | Commutative law of multiplication Closure law of multiplication Associative law of multiplication Multiplicative identity |
| 20 | a.a-1 = a-1.a = 1 is a | Commutative law of multiplication Multiplicative identity Associative law of multiplication Multiplicative inverse |
| 21 | Associative law of multiplication | ab - ba a(bc) = (ab) c a(b + c) = ab +ac (a +b)c = ac + bc |
| 22 | ∀ 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 |
| 23 | 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 |
| 24 | 202.04 is an example of | Recurring decimals Non-recurring decimals Terminating decimals None of these |
| 25 | √2 is a number | Rational Irrational Even Odd |
| 26 | √25 is a number | Rational Irrational Natural Odd |
| 27 | The symbol of irrational is | W N Q Q<i>'</i> |
| 28 | QUQ, = | N R W Z |
| 29 | The set {1,2,3,4......} is called | Set of natural numbers Set of whole numbers Set of rational number Set of irrational numbers |
| 30 | Geometrically the modulus of a complex number represents its distance from the | Point (1,0) Point (0,1) Point (1,1) Point (0,0) |
