Aptitude · all questions

Surds And Indices
practice.

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

203

Questions

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Q101

Open question

Find the simplest value of

250

18

72

= ?(given

2

= 1.414)

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Q102

Open question

55³ + 17³ - 72³ + 201960 is equal to = ?

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Q103

Open question

The simplification value of

(3 + 1)

(10 + 12)

(12 - 2)

(5 - 3)

is = ?

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Q104

Open question

\frac{1}{1 + a ^{(n - m)}} + \frac{1}{1 + a ^{(m - n)}} = ?

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Q105

Open question

\frac{1}{1 + x ^{(b - a)} + x ^{(c - a)}} +

\frac{1}{1 + x ^{(a - b)} + x ^{(c - b)}} +

\frac{1}{1 + x ^{(b - c)} + x ^{(a - c)}} = ?

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Q106

Open question

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

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

(\frac{x ^{a}}{x ^{b}})^{(a + b - c)} = ?

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Q107

Open question

If 2^n-1 + 2ⁿ⁺¹ = 320, then the value of n is = ?

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Q108

Open question

4⁶¹ + 4⁶² + 4⁶³ + 4⁶⁴ is divided by = ?

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Q109

Open question

The value of

(x^{\frac{b + c}{c - a}})^{\frac{1}{a - b}} .

(x^{\frac{c + a}{a - b}})^{\frac{1}{b - c}} .

(x^{\frac{a + b}{b - c}})^{\frac{1}{c - a}} is = ?

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Q110

Open question

If a^x = b, b^y = c and c^z = a, then the value of xyz is = ?

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Q111

Open question

Suppose 4^a = 5, 5^b = 6, 6^c = 7, 7^d = 8, then the value of abcd is = ?

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Q112

Open question

55 \times 5^{3} \div 5^{- \frac{3}{2}} = 5^{a + 2},

then the value of a is = ?

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Q113

Open question

The value of

\frac{1}{7 - 6} -

\frac{1}{6 - 5} +

\frac{1}{5 - 2} -

\frac{1}{8 - 7} +

\frac{1}{3 - 8} = ?

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Q114

Open question

If abc = 1, then

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

\frac{1}{1 + b + c ^{- 1}} +

\frac{1}{1 + c + a ^{- 1}}

= ?

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Q115

Open question

If 3^(x-y) = 27 and 3^(x+y) = 243, then x is equal to = ?

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Q116

Open question

If 3^2x-y = 3^x+y =

27,

the value of y is = ?

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Q117

Open question

\frac{10 + 25 + 108 + 154 + 225}{\root 3 \of 8}

= ?

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Q118

Open question

\frac{6 ^{2} + 7 ^{2} + 8 ^{2} + 9 ^{2} + 10 ^{2}}{7 + 4 3 - 4 + 2 3}

is equal to = ?

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Q119

Open question

Given 2^x = 8^y+1 and 9^y = 3^x-9 , then value of x + y is = ?

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Q120

Open question

What are the values of x and y that satisfy the equation,

2^{0.7 x} . 3^{- 1.25 y} = \frac{8 6}{27} ?

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Surds And Indicespractice.

Surds And Indices
practice.