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
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#1. If 2 + x\(\sqrt3\) =\(\frac{1}{2+\sqrt3}\) then the simplest value of x is :
#2. The smallest among\(\sqrt[6]{12},\sqrt[3]4,\sqrt[4]5,\sqrt3\) is
#3. If 2 + x\(\sqrt3\) =\(\frac{1}{2+\sqrt3}\) then the simplest value of x is :
#4. The smallest among\(\sqrt[6]{12},\sqrt[3]4,\sqrt[4]5,\sqrt3\) is
#5. The total number of prime factors in \(4^{10}\times{7}^3\times{16}^2\times11\times{10}^2\) is
#6. The total number of prime factors in \(4^{10}\times{7}^3\times{16}^2\times11\times{10}^2\) is
#7. 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 :
#8. If X = \((0.25)^{\frac12}\), Y = \((0.4)^2\), Z =\((0.216)^{\frac13}\), then
#9. If X = \((0.25)^{\frac12}\), Y = \((0.4)^2\), Z =\((0.216)^{\frac13}\), then
#10. The simplified value of \((0.2)^3\times 200 \div 2000\: \text{of} \:(0.2)^2\) is
#11. The simplified value of \((0.2)^3\times 200 \div 2000\: \text{of} \:(0.2)^2\) is
#12. 553 + 173 – 723 + 201960 is equal to
#13. Find the simplest value of \(2\sqrt{50}+\sqrt{18} -\sqrt{72}\) (given\(\sqrt2 = 1.414)\)
#14. Find the simplest value of \(2\sqrt{50}+\sqrt{18} -\sqrt{72}\) (given\(\sqrt2 = 1.414)\)
#15. The value of \(0.65\times0.65 + 0.35\times 0.35 + 0.70 \times 0.65 \) is
#16. The value of \(0.65\times0.65 + 0.35\times 0.35 + 0.70 \times 0.65 \) is
#17. \((\frac12)^{-\frac12}\) is equal to
#18. \((\frac12)^{-\frac12}\) is equal to
#19. \(\frac{3\sqrt{2} +2\sqrt{3}}{3\sqrt{2} - 2\sqrt{3}}\) is equal to
#20. \(\frac{3\sqrt{2} +2\sqrt{3}}{3\sqrt{2} - 2\sqrt{3}}\) is equal to
#21. \(\{(-2)^{(-2)}\}^{(-2)}\) is equal to
#22. \(\{(-2)^{(-2)}\}^{(-2)}\) is equal to
#23. \(\frac{(2.3)^3 +0.027}{(2.3)^2 - 0.69 + 0.09}\) is equal to
#24. \(\frac{(2.3)^3 +0.027}{(2.3)^2 - 0.69 + 0.09}\) is equal to
#25. Simplify: \(\frac{0.41\times0.41\times0.41+0.69\times0.69\times0.69}{0.41\times0.41-0.41\times 0.69+0.69+0.69}\)
#26. Simplify: \(\frac{0.41\times0.41\times0.41+0.69\times0.69\times0.69}{0.41\times0.41-0.41\times 0.69+0.69+0.69}\)
#27. By how much does \(5\sqrt7-2\sqrt5\) exceed \(3\sqrt7 - 4\sqrt5\) ?
#28. By how much does \(5\sqrt7-2\sqrt5\) exceed \(3\sqrt7 - 4\sqrt5\) ?
#29. The greatest number among \({3}^{50},{4}^{40},{5}^{30} \) and \(6^{20}\) is
#30. If \(\sqrt7 = 2.646\), then the value of \(\frac{1}{\sqrt{28}}\)up to three places of decimals is :
#31. If \(\sqrt7 = 2.646\), then the value of \(\frac{1}{\sqrt{28}}\)up to three places of decimals is :
#32. If \(\sqrt2\) = 1.4142..... is given, then the value of \(\frac{7}{(3+{\sqrt2})}\)correct up to two decimal places is :
#33. If \(\sqrt2\) = 1.4142..... is given, then the value of \(\frac{7}{(3+{\sqrt2})}\)correct up to two decimal places is :
#34. The quotient when \(10^{100}\) is divided by \(5^{75}\) is
#35. If \(2^{x-1} + 2^{x+1} =320\) then the value of x is :
#36. If \((125)^{2/3}\times (625)^{1/4} = 5^{x}\), then the value of x is
#37. If \((125)^{2/3}\times (625)^{1/4} = 5^{x}\), then the value of x is
#38. \(\sqrt{{3}+\sqrt{{3}+\sqrt{{3}+.......}}}\) is equal to
#39. \(\sqrt{{3}+\sqrt{{3}+\sqrt{{3}+.......}}}\) is equal to
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