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

 

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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. 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 :

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