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 2 + x$ \sqrt3 $ =$ \frac{1}{2+\sqrt3} $ then the simplest value of x is :

-1

-2

#2. The smallest among$ \sqrt[6]{12},\sqrt[3]4,\sqrt[4]5,\sqrt3 $ is

$\sqrt[6]{12}$

$\sqrt[3]4$

$\sqrt3$

$\sqrt[4]5$

#3. If the product of first 50 positive consecutive integers be divisible by $ 7^n $ , where n is an integer, then the largest possible value of n is :

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

#5. 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

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

$\frac{1}{100}$

$\frac{1}{50}$

$\frac{1}{10}$

#7. 553 + 173 – 723 + 201960 is equal to

-1

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

4.242

9.898

10.312

8.484

#9. 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

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

$\frac{1}{\sqrt2}$

$2\sqrt2$

-$\sqrt2$

$\sqrt2$

#11. $ \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$\sqrt3$

#12. $ \{(-2)^{(-2)}\}^{(-2)} $ is equal to

-8

-1

#13. $ \dfrac{(2.3)^3+0.027}{(2.3)^2-0.69+0.09} $ is equal to

2.6

2.00

2.33

2.80

#14. 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

#15. By how much does $ 5\sqrt7-2\sqrt5 $ exceed $ 3\sqrt7-4\sqrt5 $ ?

5$(\sqrt7 + \sqrt5$)

$\sqrt7 + \sqrt5$

2$(\sqrt7 + \sqrt5$)

7$(\sqrt7 + \sqrt5$)

#16. The greatest number among $ {3}^{50},{4}^{40},{5}^{30} $ and $ 6^{20} $ is

$3^{50}$

$4^{40}$

$5^{30}$

$6^{20}$

#17. 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

#18. 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

#19. The quotient when $ 10^{100} $ is divided by $ 5^{75} $ is

$2^{25}\times 10^{75}$

$10^{25}$

$2^{75}$

$2^{75}\times 10^{25}$

#20. If $ 2^{x-1} + 2^{x+1} =320 $ then the value of x is :

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

#22. $ \sqrt{{3}+\sqrt{{3}+\sqrt{{3}+}}}$…….. is equal to