Aptitude · all questions

Simplification
practice.

Practice every MCQ with options. Use Show answers when you want the correct option and solution.

279

Questions

9/14

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Q161

Open question

The simplified value of

\frac{32 + 48}{8 + 12} is = ?

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Q162

Open question

Number of digits in the square root of 62478078 is = ?

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Q163

Open question

If (n^{r} - t n + \frac{1}{4})

be a perfect square, then the values of t are = ?

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Q164

Open question

If x = a + m, y = b + m, z = c + m, then the value of

\frac{x ^{2} + y ^{2} + z ^{2} - y z - z x - x y}{a ^{2} + b ^{2} + c ^{2} - ab - b c - c a}

is = ?

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Q165

Open question

(\frac{785 \times 785 \times 785 + 435 \times 435 \times 435}{785 \times 785 + 435 \times 435 - 785 \times 435})

simplifies to = ?

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Q166

Open question

\frac{38 \times 38 \times 38 + 34 \times 34 \times 34 + 28 \times 28 \times 28 - 38 \times 34 \times 84}{38 \times 38 + 34 \times 34 + 28 \times 28 - 38 \times 34 - 34 \times 28 - 38 \times 28}

is equal to = ?

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Q167

Open question

The greatest 4 digit number which is a perfect square, is = ?

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Q168

Open question

What number must be added to the expression 16a² - 12a to make a perfect square ?

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Q169

Open question

A teacher wants to arrange his students in an equal number of rows and columns. If there are 1369 students, the number of students in the last row are ?

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Q170

Open question

The value of

\frac{( x - y ) ^{3} + ( y - z ) ^{3} + ( z - x ) ^{3}}{( x ^{2} - y ^{2} ) ^{3} + ( y ^{2} - z ^{2} ) ^{3} + ( z ^{2} - x ^{2} ) ^{3}}

is = ?

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Q171

Open question

The value of

\frac{x ^{2} - ( y - z ) ^{2}}{( x + z ) ^{2} - y ^{2}} +

\frac{y ^{2} - ( x - z ) ^{2}}{( x + y ) ^{2} - z ^{2}} +

\frac{z ^{2} - ( x - y ) ^{2}}{( y + z ) ^{2} - x ^{2}}

is = ?

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Q172

Open question

\frac{p}{a} + \frac{q}{b} + \frac{r}{c} = 1

and

\frac{a}{p} + \frac{b}{q} + \frac{c}{r} = 0

where a, b, c, p, q, r are non-zero real numbers, then

\frac{p ^{2}}{a ^{2}} + \frac{q ^{2}}{b ^{2}} + \frac{r ^{2}}{c ^{2}}

is equal to = ?

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Q173

Open question

x = 3 + 2,

then the value of

x^{3} - \frac{1}{x ^{3}}

is?

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Q174

Open question

The value (1001)³ is = ?

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Q175

Open question

The Value of (

6

10

21

35

) × (

6

10

21

35

) = ?

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Q176

Open question

The expression

\frac{1}{x - 1} -

\frac{1}{x + 1} -

\frac{2}{x ^{2} + 1} -

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

is equal to = ?

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Q177

Open question

(x + \frac{1}{x})

(x - \frac{1}{x})

(x^{2} + \frac{1}{x ^{2}} - 1)

(x^{2} + \frac{1}{x ^{2}} + 1)

is equal to ?

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Q178

Open question

(x + \frac{1}{x}) = 2,

then

(x - \frac{1}{x})

is equal to = ?

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Q179

Open question

If 1² + 2² + 3² + . . . . . + p² =

[\frac{p ( p + 1 ) ( 2 p + 1 )}{6}],

then 1² + 3² + 5² + . . . . . + 17² is = ?

Select an option to see the answer and solution.

Q180

Open question

The simplest value of

(\frac{1}{9 - 8} - \frac{1}{8 - 7} + \frac{1}{7 - 6} - \frac{1}{6 - 5})

is = ?

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Simplificationpractice.

Simplification
practice.