Aptitude · all questions

Surds And Indices
practice.

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203

Questions

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Q181

If

33

= 5.745, then the value of the following is approximately:

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Q182

Let

a = \frac{1}{2 - 3} + \frac{1}{3 - 8} + \frac{1}{4 - 15}

then we have

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Q183

The simplest value of

\frac{3 8 - 2 12 + 20}{3 18 - 2 27 + 45} is:

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Q184

What is the value of

\frac{1}{( 0.1 ) ^{2}} + \frac{1}{( 0.01 ) ^{2}} + \frac{1}{( 0.5 ) ^{2}} + \frac{1}{( 0.05 ) ^{2}}

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Q185

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

is equal to

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Q186

The value of

(x^{\frac{1}{3}} + x^{- \frac{1}{3}}) (x^{\frac{2}{3}} - 1 + x^{- \frac{2}{3}}) is:

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Q187

If 4x = √5 + 2, then the value of

(x - \frac{1}{16 x})

is

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Q188

The value of

\frac{1}{1 + 2} + \frac{1}{2 + 3} + \frac{1}{3 + 4} + \frac{1}{4 + 5} + \frac{1}{5 + 6} + \frac{1}{6 + 7} + \frac{1}{7 + 8} + \frac{1}{8 + 9} is:

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Q189

Which value among

11 + 5, 14 + 2, 8 + 8

is the largest?

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Q190

If x, y are rational numbers and

\frac{5 + 11}{3 - 2 11} = x + y 11 .

The values of x and y are

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Q191

The value of

\frac{1}{7 - 6} - \frac{1}{6 - 5} + \frac{1}{5 - 2} - \frac{1}{8 - 7} + \frac{1}{3 - 8} is:

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Q192

If (√2 + √5 - √3) × k = -12, then what will be the value of k?

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Q193

Which of the following statement(s) is/are TRUE?

I . 12 > \root 3 \of 16 > \root 4 \of 24 II . \root 3 \of 25 > \root 4 \of 32 > \root 6 \of 48 III . \root 4 \of 9 > \root 3 \of 15 > \root 6 \of 24

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Q194

Which of the following relation is/are true?

I . (27)^{\frac{1}{3}} > (13)^{\frac{1}{2}} < (47)^{\frac{1}{6}} II . (23)^{\frac{1}{3}} < (49)^{\frac{1}{2}} < (52)^{\frac{1}{6}} III . (53)^{\frac{1}{6}} < (41)^{\frac{1}{3}} < (37)^{\frac{1}{2}}

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Q195

The value of

2 \root 3 \of 4 2 \root 3 \of 4 ......

is?

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Q196

If

(X) = \frac{1}{x} - \frac{1}{x + 1},

then what is the value of f(1) + f(2) + f(3) + . . . . . + f(10)?

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Q197

A tap is dripping at a constant rate into a container. The level (L cm) of the water in the container is given by the equation L = 2 - 2^t, where t is time taken in hours. Then the level of water in the container at the start is.

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Q198

Find the simplest value of

250 + 18 - 72

(given √2 = 1.414).

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Q199

Let

\root 3 \of a = \root 3 \of 26 + \root 3 \of 7 + \root 3 \of 63

then

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Q200

If

x^{\frac{1}{6}} = y^{\frac{2}{3}},

then relation between x and y is.

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