Aptitude · all questions

Algebra
practice.

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Q21

Open question

If x : y = 7 : 3 then the value of

\frac{x y + y ^{2}}{x ^{2} - y ^{2}} is?

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Q22

Open question

If [p] means the greatest positive integer less than or equal to p, then

[- \frac{1}{4}] + [4 - \frac{1}{4}] + [3]

is equal to?

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Q23

Open question

The value of

\frac{( 243 ) ^{\frac{n}{5}} .3 ^{2 n + 1}}{9 ^{n} .3 ^{n - 1}} is?

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Q24

Open question

If x = 0.5 and y = 0.2, then the value of

0.6 \times (3 y)^{x}

is equal to?

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Q25

Open question

x^{x x} = (x x)^{x},

then x equals to?

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Q26

Open question

If a = 7, b = 5 and c = 3, then the value of a² + b² + c² - ab - bc - ca is?

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Q27

Open question

7^{x} = \frac{1}{343},

then the value of x is?

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Q28

Open question

\frac{\frac{1}{3} . \frac{1}{3} . \frac{1}{3} + \frac{1}{4} . \frac{1}{4} . \frac{1}{4} - 3. \frac{1}{3} . \frac{1}{4} . \frac{1}{5} + \frac{1}{5} . \frac{1}{5} . \frac{1}{5}}{\frac{1}{3} . \frac{1}{3} + \frac{1}{4} . \frac{1}{4} + \frac{1}{5} . \frac{1}{5} - ( \frac{1}{3} . \frac{1}{4} + \frac{1}{4} . \frac{1}{5} + \frac{1}{5} . \frac{1}{3} )} is?

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Q29

Open question

If 0.13 × p² = 13, then p is equal to?

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Q30

Open question

x = 7 - 43,

then

x + \frac{1}{x}

is equal to?

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Q31

Open question

a = \frac{5 + 1}{5 - 1}

b = \frac{5 - 1}{5 + 1},

then the value of

\frac{a ^{2} + ab + b ^{2}}{a ^{2} - ab + b ^{2}} is?

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Q32

Open question

If a = 4.36, b = 2.39 and c = 1.97, then the value of a³ - b³ - c³ - 3abc is?

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Q33

Open question

\frac{3 a + 5 b}{3 a - 5 b} = 5,

then a : b is equal to?

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Q34

Open question

If x : y = 3 : 4, then (7x + 3y) : (7x - 3y) is equal to?

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Q35

Open question

For what value (s) of a is

x + \frac{1}{4} x + a^{2}

a perfect square?

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Q36

Open question

If x, y are two positive real number and

x^{\frac{1}{3}} = y^{\frac{1}{4}},

then which of the following relations is true?

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Q37

Open question

x = \frac{3}{2},

then

\frac{1 + x}{1 + 1 + x} +

\frac{1 - x}{1 - 1 - x}

is equal to?

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Q38

Open question

If for non-zero, x, x² - 4x - 1 = 0, the value of

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

is?

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Q39

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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Q40

Open question

If a^2x+2 = 1, where is a positive real number other than 1, then x is equal to?

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Algebrapractice.

Algebra
practice.