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**Q.1. Express each of the following as a Roman numeral :****(i) 2****(ii) 8****(iii) 14****(iv) 29****(v) 36****(vi) 43****(vii) 54**

**(viii) 61****(ix) 73**

**(x) 81(xi) 9**

**(xiii) 99**

**(xiv) 105**

**(xv) 114**

**Ans.****(i) **2 = II**(ii)** 8 = VIII**(iii)** 14 = XIV**(iv)** 29 = XXIX

**(v)** 36 = XXXVI**(vi)** 43 = XLIII

**(vii)** 54 = LIV

**(viii)** 61 = LXI

**(ix)** 73 = LXXIII**(x)** 81 = LXXXI

**(xi)** 91 = XCI

**(xii)** 95 = XCV

**(xiii)** 99 = XCIX**(xiv)** 105 = CV

**(xv)** 114 = CXIV**Q.2. Express each of the following as a Roman numeral :****(i) 164****(ii) 195****(iii) 226****(iv) 341****(v) 475****(vi) 596****(vii) 611****(viii) 759****Ans.****(i)** 164 = CLXIV**(ii)** 195 = CXCV

**(iii)** 226 = CCXXVI**(iv)** 341 =CCCXLI

**(v)** 475 = CDLXXV**(vi)** 596 = DXCVI**(vii)** 611 = DCXI**(viii)** 759 = DCCLIX**Q.3. Write each of the following as a Hindu-****Arabic numeral :****(i) XXVII****(ii) XXXIV****(iii) XLV****(iv) LIV****(v) LXXIV****(vi) XCI****(vii) XCVI****(viii) CXI****(ix) CLIV****(x) CCXXIV****(xi) CCCLXV****(xii) CDXIV****(xiii) CDLXIV****(xiv) DVI****(xv) DCCLXVI**

**Ans.****(i)** XXVII = 27**(ii) **XXXIV = 34

**(iii)** XLV = 45**(iv)** LIV = 54

**(v) **LXXIV = 74**(vi)** XCI = 91

**(vii)** XCVI = 96**(viii)** CXI = 111

**(ix)** CLIV = 154**(x)** CCXXIV = 224

**(xi)** CCCLXV = 365

**(xii) **CDXIV = 414

**(xiii)** CDLXIV = 464

**(xiv)** DVI = 506

**(xv)** DCCLXVI = 766**Q.4. Show that each of the following is meaningless. Give reason in each case.**

**(i) VC****(ii) IL****(iii) VVII****(iv) IXX****Ans****.** **(i) **V is never subtracted

∴ VC is wrong**(ii) **I can be subtracted from V and X only

∴ IL is wrong**(iii) **V, L, D are never repeated

∴ VVII is wrong**(iv)** IX cannot occur to the left of X

∴ IXX is wrong

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