Aptitude · all questions

Algebra
practice.

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

548

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4/28

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Q61

Open question

x = a + \frac{1}{a}

and

y = a - \frac{1}{a},

then the value of x⁴ + y⁴ - 2x²y² is?

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Q62

Open question

If p = 101, then the value of

\root 3 \of p (p^{2} - 3 p + 3) - 1

is?

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Q63

Open question

If 50% of (p - q) = 30% of (p + q), then p : q is equal to?

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Q64

Open question

If x : y = 2 : 1, then (5x² - 13xy + 6y²) is equal to ?

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Q65

Open question

\frac{a}{3} = \frac{b}{2},

then the value of

\frac{2 a + 3 b}{3 a - 2 b} is?

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Q66

Open question

\frac{2 x - y}{x + 2 y} = \frac{1}{2},

then value of

\frac{3 x - y}{3 x + y} is?

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Q67

Open question

x + \frac{1}{x} = 5,

then

\frac{2 x}{3 x ^{2} - 5 x + 3}

is equal to?

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Q68

Open question

If 1 - \frac{x ^{3}}{100} = \frac{3}{5},

then x equals to?

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Q69

Open question

If 1 + \frac{x}{9} = \frac{13}{3},

then the value of x is?

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Q70

Open question

If \frac{4 3 + 5 2}{48 + 18} = a + b 6,

then the value of a and b are respectively?

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Q71

Open question

0.03 \times 0.3 a

0 .3 \times 0 .3 \times b,

value of

\frac{a}{b} is?

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Q72

Open question

If x * y = (x + 3)² (y - 1), then the value of 5 * 4 is?

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Q73

Open question

If 1 + \frac{x}{961} = \frac{32}{31},

then the value of x is?

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Q74

Open question

0.04 \times 0.4 \times a

= 0.004 × 0.4 ×

b,

then the value of

\frac{a}{b} is?

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Q75

Open question

\frac{a}{b} = \frac{c}{d} = \frac{e}{f} = 3,

then

\frac{2 a ^{2} + 3 c ^{2} + 4 e ^{2}}{2 b ^{2} + 3 d ^{2} + 4 f ^{2}}

= ?

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Q76

Open question

If x varies inversely as (y² - 1) and x is equal to 24 when y = 10, then the value of x when y = 5 is?

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Q77

Open question

If x² + y² + 2x + 1 = 0, then the value of x³¹ + y³⁵ is?

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Q78

Open question

If a, b, c are real and a² + b² + c² = 2(a - b - c) -3, then the value of 2a - 3b + 4c is?

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Q79

Open question

If (3a + 1)² + (b - 1)² + (2c - 3)² = 0 then the value of (3a + b + 2c) is equal to?

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Q80

Open question

The value of the expression

\frac{( a - b ) ^{2}}{( b - c ) ( c - a )} +

\frac{( b - c ) ^{2}}{( a - b ) ( c - a )} +

\frac{( c - a ) ^{2}}{( a - b ) ( b - c )}

= ?

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Algebrapractice.

Algebra
practice.