Power Indices and Surds Questions

Power Indices and Surds Maths Questions – Mock test for free online practice of SSC CGL, CHSL, CPO, GD, Bank competitive exams.

Quiz : Objective MCQs – Power Indices and Surds
All type Solved Questions from previous year paper

Results

#1. If X = \((0.25)^{\frac12}\), Y = \((0.4)^2\), Z =\((0.216)^{\frac13}\), then

Y>X>Z

X>Y>Z

Z>X>Y

X>Z>Y

#2. If 2 + x\(\sqrt3\) =\(\frac{1}{2+\sqrt3}\) then the simplest value of x is :

-1

-2

#3. The simplified value of \((0.2)^3\times 200 \div 2000\: \text{of} \:(0.2)^2\) is

\(\frac{1}{100}\)

\(\frac{1}{50}\)

\(\frac{1}{10}\)

#4. 553 + 173 – 723 + 201960 is equal to

-1

#5. Find the simplest value of \(2\sqrt{50}+\sqrt{18} -\sqrt{72}\) (given\(\sqrt2 = 1.414)\)

4.242

9.898

10.312

8.484

#6. The value of \(0.65\times0.65 + 0.35\times 0.35 + 0.70 \times 0.65 \) is

1.75

1.00

1.65

1.55

#7. \((\frac12)^{-\frac12}\) is equal to

\(\frac{1}{\sqrt2}\)

\(2\sqrt2\)

-\(\sqrt2\)

\(\sqrt2\)

#8. \(\frac{3\sqrt{2} +2\sqrt{3}}{3\sqrt{2} - 2\sqrt{3}}\) is equal to

\(5 +2 \sqrt6\)

\(\frac{3+2\sqrt6}{2}\)

5-2\(\sqrt3\)

5+2\(\sqrt3\)

#9. \(\{(-2)^{(-2)}\}^{(-2)}\) is equal to

-8

-1

#10. \(\frac{(2.3)^3 +0.027}{(2.3)^2 - 0.69 + 0.09}\) is equal to

2.6

2.00

2.33

2.80

#11. Simplify: \(\frac{0.41\times0.41\times0.41+0.69\times0.69\times0.69}{0.41\times0.41-0.41\times 0.69+0.69+0.69}\)

0.28

1.1

2.8

#12. By how much does \(5\sqrt7-2\sqrt5\) exceed \(3\sqrt7 - 4\sqrt5\) ?

5\((\sqrt7 + \sqrt5\))

\(\sqrt7 + \sqrt5\)

2\((\sqrt7 + \sqrt5\))

7\((\sqrt7 + \sqrt5\))

#13. The greatest number among \({3}^{50},{4}^{40},{5}^{30} \) and \(6^{20}\) is

\(3^{50}\)

\(4^{40}\)

\(5^{30}\)

\(6^{20}\)

#14. The smallest among\(\sqrt[6]{12},\sqrt[3]4,\sqrt[4]5,\sqrt3\) is

\(\sqrt[6]{12}\)

\(\sqrt[3]4\)

\(\sqrt3\)

\(\sqrt[4]5\)

#15. If \(\sqrt7 = 2.646\), then the value of \(\frac{1}{\sqrt{28}}\)up to three places of decimals is :

0.183

0.185

0.187

0.189

#16. If \(\sqrt2\) = 1.4142..... is given, then the value of \(\frac{7}{(3+{\sqrt2})}\)correct up to two decimal places is :

1.59

1.60

2.58

2.57

#17. The total number of prime factors in \(4^{10}\times{7}^3\times{16}^2\times11\times{10}^2\) is

#18. The quotient when \(10^{100}\) is divided by \(5^{75}\) is

\(2^{25}\times 10^{75}\)

\(10^{25}\)

\(2^{75}\)

\(2^{75}\times 10^{25}\)

#19. If \(2^{x-1} + 2^{x+1} =320\) then the value of x is :

#20. If \((125)^{2/3}\times (625)^{1/4} = 5^{x}\), then the value of x is

#21. \(\sqrt{{3}+\sqrt{{3}+\sqrt{{3}+.......}}}\) is equal to