Model 1 Simplification using VBODMAS Practice Questions Answers Test with Solutions & More Shortcuts

Answer: (a)

Answer: (d)

$[3{1/4} ÷ (1{1/4} - 1/2(2{1/2} - \ov{1/4 - 1/6}))] ÷ (1/2 of 4{1/3})$

Using Rule 1,

= $[{13/4} ÷ ({5/4} - 1/2({5/2} - {3 - 2}/12))] ÷ {13/6}$

= $[{13/4} ÷ ({5/4} - 1/2({5/2} - 1/12))] ÷ {13/6}$

= $[{13/4} ÷ ({5/4} - 1/2({30 - 1}/12))] ÷ {13/6}$

= $[{13/4} ÷ ({5/4} - 1/2 × 29/12)] ÷ {13/6}$

= $[{13/4} ÷ ({30 - 29}/24)] ÷ {13/6}$

= $[{13/4} ÷ {1/24}] ÷ {13/6}$

$[{13/4} × 24] ÷ {13/6}$

= $13 × 6 × 6/13 = 36$

Answer: (b)

Using Rule 1,

$5/{15/8 × 4/3} × {21/10}/{7/2} of {5/4}$

=$5 × 2/5 × 21/10 × 2/7 × 5/4$

=$3/2 = 1{1}/2$

Answer: (c)

${3{1/4} - 4/5 of {5/6}}/{4{1/3} ÷ {1/5} - (3/10 + 21{1/5})} - (1{2/3} of 1{1/2})$

Using Rule 1,

= ${{13/4} - {5/6} × {4/5}}/{{13/3} ÷ {1/5} - (3/10 + {106/5})} - ({3/2} × {5/3})$

= ${13/4 - 2/3}/{{13 × 5}/3 - ({3+212}/10)} - 5/2$

= ${{39 - 8}/12}/{{65/3} - {215/10}} - 5/2$

= ${31/12}/{{650 - 645}/30} - 5/2$

= $31/12 × 30/5 - 5/2$

= $31/2 - 5/2 = {31 - 5}/2 = 26/2 = 13$

Answer: (b)

Using Rule 1,

The given expression

${{1/3} ÷ {1/3} × {1/3}}/{{1/3} ÷ {1/3} of {1/3}} - 1/9$

${{1/3} × 3 × {1/3}}/{{1/3} ÷ ({1/3}×{1/3})} - 1/9$

= ${1/3}/{{1/3} ÷ {1/9}} - 1/9 = {1/3}/{1/3 × 9} - 1/9$

= ${1/3}/3 - 1/9 = 1/9 - 1/9 = 0$