Aptitude · all questions

Simplification
practice.

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279

Questions

8/14

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Q141

Open question

\frac{547.527}{0.0082} = x,

then the value of

\frac{547527}{82}

is = ?

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Q142

Open question

The number of pairs of natural numbers the difference of whose squares is 45 will be ?

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Q143

Open question

\root 3 \of 3^{n} = 27,

then the value of n is = ?

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Q144

Open question

The lowest temperature in the night in a city is one third more than

\frac{1}{2}

the highest during the day. Sum of the lowest temperature and the highest temperature is 100 degrees. Then what is the lowest temperature?

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Q145

Open question

A millionaire bought a lot of hats

\frac{1}{4}

of which were brown. The millionaire sold

\frac{2}{3}

of the including

\frac{4}{5}

of the brown hats. What fraction of the unsold hats were brown ?

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Q146

Open question

A body of 7300 troops is formed of 4 battalions so that

\frac{1}{2}

of the first,

\frac{2}{3}

of the second,

\frac{3}{4}

of the third and

\frac{4}{5}

of the fourth are all composed of the same number of men. How many men are there in the second battalion?

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Q147

Open question

If 4 - \frac{5}{1 + \frac{1}{3 + \frac{1}{2 + \frac{1}{4}}}}

part of a journey takes ten minutes, then to complete

\frac{3}{5}

th of that journey, it will take = ?

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Q148

Open question

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

is equal to = ?

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Q149

Open question

The cost of 5 pendants and 8 chains is Rs. 145785. What would be the cost of 15 pendants and 24 chains ?

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Q150

Open question

The simplification of

(\frac{75983 \times 75983 - 45983 \times 45983}{30000})

yields the result = ?

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Q151

Open question

\frac{1}{1 + 2 ^{a - b}} + \frac{1}{1 + 2 ^{b - a}}

is equal to = ?

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Q152

Open question

The value of

3 \frac{1}{2} -

[2 \frac{1}{4} \div {1 \frac{1}{4} - \frac{1}{2} (1 \frac{1}{2} - \frac{1}{3} - \frac{1}{6})}]

= ?

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Q153

Open question

The value of

5 \frac{1}{3} \div 1 \frac{2}{9} \times \frac{1}{4}

(10 + \frac{3}{1 - \frac{1}{5}})

= ?

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Q154

Open question

What is

\frac{\frac{7}{8} \times \frac{7}{8} + \frac{5}{6} \times \frac{5}{6} + \frac{7}{8} \times \frac{5}{3}}{\frac{7}{8} \times \frac{7}{8} - \frac{5}{6} \times \frac{5}{6}}

equal to ?

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Q155

Open question

\frac{( 469 + 174 ) ^{2} - ( 469 - 174 ) ^{2}}{469 \times 174}

= ?

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Q156

Open question

If a - b = 3 and a² + b² = 29, find the value of ab = ?

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Q157

Open question

What is the value of

\frac{24 + 216}{96} = ?

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Q158

Open question

Simplify :

3 + \frac{33}{64} \div

9 + \frac{1}{7} \times

2 3 \frac{1}{9}

= ?

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Q159

Open question

\frac{( 3 \frac{2}{3} ) ^{2} - ( 2 \frac{1}{2} ) ^{2}}{( 4 \frac{3}{4} ) ^{2} - ( 3 \frac{1}{3} ) ^{2}}

\div

\frac{3 \frac{2}{3} - 2 \frac{1}{2}}{4 \frac{3}{4} - 3 \frac{1}{3}}

= ?

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Q160

Open question

The simplified value of

\frac{( 1 + \frac{1}{1 + \frac{1}{100}} ) ( 1 + \frac{1}{1 + \frac{1}{100}} ) - ( 1 - \frac{1}{1 + \frac{1}{100}} ) ( 1 - \frac{1}{1 + \frac{1}{100}} )}{( 1 + \frac{1}{1 + \frac{1}{100}} ) + ( 1 - \frac{1}{1 + \frac{1}{100}} )} = ?

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Simplificationpractice.

Simplification
practice.