Find the value of 1.21x0.91.1x0.11 ? 0 1 3 5 Given 1 . 21 x 0 . 9 1 . 1 x 0 . 11

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Correct Answer

3

Explanation

Given $\sqrt{\frac{1.21 x 0.9}{1.1 x 0.11}}$

= $\sqrt{\frac{1.21 x 100 x 0.9 x 10}{1.1 x 10 x 0.11 x 100}}$

= $\sqrt{9}$

= 3.

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Square Root and Cube Root problems

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2. If x = 2 + 223 + 213 then find the value of x3-6x2+6x ?
Options
A. 1
B. 2
C. 3
D. 4

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3. If 3a=4b=6c and a+b+c=2729 , then a2+b2+c2 =?
Options
A. 81
B. 83
C. 87
D. None of these

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Correct Answer: 87

Explanation:

$4 b = 6 c ? b = \frac{3}{2} c a n d 3 a = 4 b ? a = \frac{4}{3} b = \frac{4}{3} (\frac{3}{2} c) = 2 c$

$a + b + c = 27 \sqrt{29} ? 2 c + \frac{3}{2} c + c = 27 \sqrt{29} ? c = 6 \sqrt{29}$

$? \sqrt{a^{2} + b^{2} + c^{2}} = \sqrt{(a + b + b)^{2} - 2 (a b + b c + c a)}$

$= \sqrt{(27 \sqrt{29})^{2} - 2 (2 c � \frac{3}{2} c + \frac{3}{2} c � c + c � 2 c)}$

$= \sqrt{(729 � 29) - 2 � \frac{13}{2} c^{2}}$

= 87

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6. If x�y = x + y + xy , the value of 6x24 is:
Options
A. 41
B. 42
C. 43
D. 44

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Correct Answer: 2

Explanation:

$\sqrt{(\frac{(0.75)^{3}}{1 - 0.75} + [0.75 + (0.75)^{2} + 1])} = \sqrt{\frac{(0.75)^{3} + (1 - 0.75) [(1)^{2} + (0.75)^{2} + 1 � 0.75]}{1 - 0.75}}$

= $\sqrt{\frac{(0.75)^{3} + [(1)^{3} - (0.75)^{3}]}{1 - 0.75}} = \sqrt{\frac{1}{0.25}} = \sqrt{4} = 2$

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Find the value of 1.21x0.91.1x0.11 ?

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Find the value of 1.21x0.91.1x0.11 ?

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