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Simplification
practice.

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Q61

Open question

Supply the two missing figures in order indicated by x and y in the given equation, the fractions being in their lowest terms.

5 \frac{1}{x} \times y \frac{3}{4} = 20

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Q62

Open question

Find the value of

248 + 52 + 144 = ?

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Q63

Open question

4096

= 64, then the value of

40 .96

+

0 .4096

+

0 .004096

+

0 .00004096

up to two place of decimals is = ?

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Q64

Open question

The difference of

1 \frac{3}{16}

and its reciprocal is equal to = ?

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Q65

Open question

Let a = (4 ÷ 3) ÷ 3 ÷ 4, b = 4 ÷ (3 ÷ 3) ÷ 4, c = 4 ÷ 3 ÷ (3 ÷ 4), The maximum value among the above three is?

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Q66

Open question

If I = \frac{3}{4} \div \frac{5}{6}, II = 3 \div [(4 \div 5) \div 6], III = [3 \div (4 \div 5)] \div 6, IV = 3 \div 4 \div (5 \div 6), Then -

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Q67

Open question

The least number that must be subtracted from 63522 to make the result a perfect square is = ?

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Q68

Open question

The simplification of

\frac{5}{3 + \frac{3}{1 - \frac{2}{3}}} = ?

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Q69

Open question

Simplify :

[(1 + \frac{1}{10 + \frac{1}{10}}) \times (1 + \frac{1}{10 + \frac{1}{10}}) - (1 - \frac{1}{10 + \frac{1}{10}}) \times (1 - \frac{1}{10 + \frac{1}{10}})] \div [(1 + \frac{1}{10 + \frac{1}{10}}) + (1 - \frac{1}{10 + \frac{1}{10}})] = ?

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Q70

Open question

If the expression

2 \frac{1}{2} of \frac{3}{4} \times \frac{1}{2} \div \frac{3}{2} + \frac{1}{2} \div \frac{3}{2} [\frac{2}{3} - \frac{1}{2} of \frac{2}{3}]

is simplified, we get -

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Q71

Open question

\frac{6}{5 - \frac{5}{3}} \div \frac{4 - \frac{2}{4 - \frac{1}{2}}}{5 - \frac{3}{2}} - \frac{2}{5}

of

{\frac{6}{9} + \frac{2}{3} of \frac{1}{2}}

= ?

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Q72

Open question

Simplify if, I = \frac{3}{5} \div \frac{5}{6}, II = 3 \div [(4 \div 5) \div 6], III = [3 \div (4 \div 5)] \div 6, IV = 3 \div 4 (5 \div 6) then

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Q73

Open question

Simplify : -7m -[3n -{8m -(4n - 10m)}]

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Q74

Open question

If a + 2b = 6 and ab = 4, then what is

\frac{2}{a} + \frac{1}{b} = ?

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Q75

Open question

Simplify the value of

\frac{0 .9 \times 0 .9 \times 0 .9 + 0 .2 \times 0 .2 \times 0 .2 + 0 .3 \times 0 .3 \times 0 .3 - 3 \times 0.9 \times 0 .2 \times 0 .3}{0 .9 \times 0 .9 + 0 .2 \times 0 .2 + 0 .3 \times 0 .3 - 0.9 \times 0 .2 - 0 .2 \times 0 .3 - 0.3 \times 0.9} = ?

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Q76

Open question

Simplify :

\frac{1 + \frac{1}{2}}{1 - \frac{1}{2}} \div \frac{4}{7} (\frac{2}{5} + \frac{3}{10})

of

\frac{\frac{1}{2} + \frac{1}{3}}{\frac{1}{2} - \frac{1}{3}}

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Q77

Open question

The value of

2 a^{3} - [3 a^{3} + 4 b^{3} - {2 a^{3} + (- 7 a^{3})} + 5 a^{3} - 7 b^{3}] is -

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Q78

Open question

The value of

[1 + \frac{1}{x + 1}]

[1 + \frac{1}{x + 2}]

[1 + \frac{1}{x + 3}]

[1 + \frac{1}{x + 4}]

is = ?

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Q79

Open question

Simplify if

\frac{a}{b} = \frac{4}{5}

and

\frac{b}{c} = \frac{15}{16},

then

\frac{c ^{2} - a ^{2}}{c ^{2} + a ^{2}}

is = ?

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Q80

Open question

The simplification of

\frac{1}{8} +

\frac{1}{8 ^{2}} +

\frac{1}{8 ^{3}} +

\frac{1}{8 ^{4}} +

\frac{1}{8 ^{5}}

upto three place of decimals yields = ?

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Simplificationpractice.

Simplification
practice.