Surds and Indices Questions for Railway Exams
Railway Surds and Indices Questions bring together the Surds and Indices questions available from Railway papers on PrepShots. Practise across the different exams in this group, compare the question mix and open any question to view its complete solution.
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Showing 1–20 of 88Surds and Indices Railway Questions
Q1Find the value of m for which it satisfies (24/7)⁵ × (7/24)¹⁶ × (24/7)⁶ = (7/24)^(8m + 4)Q2If 9 x - 9 x-1 = 72, then the value of (2x-1)/(2x+3) is:Q3Simplify: (3+√6)/(5√3-2√12-√32+√50)Q4Find the value of m which satisfies (14/6)⁸ × (6/14)³ × (14/6)¹⁰ = (6/14)^(9m+9)Q5The simplified value of (98⁶ × 18¹⁴ × 2¹⁵)/(98⁵ × 18¹³ × 2¹³) isQ6The simplified value of ((63¹⁰ × 2¹³ × 28¹⁹))/((63⁹ × 2¹² × 28¹⁸)) isQ7Find the value of m for which it satisfies (17/2)⁴ × (2/17)⁶ × (17/2)³ = (2/17)^(4m+16)Q8The simplified value of ((38⁶ × 2⁴ × 96¹⁶))/((38⁵ × 2³ × 96¹⁵)) isQ9The simplified value of ( ∛2744/⁴√4096 ) × 4/42 × 84 isQ10The Simplified value of (∛4913/⁴√1296) × 3/51 × 168 isPractice Free →Q11If 2^a = 32 , b⁴ = 81 , and b > 0, then what is the value of a^b ?Q12Find the simplified value of the given expression. ((2³ × 8²)³ ÷ (4⁵ × 16²))/((32² ÷ 2⁴)²)Q13Simplify the following. (√6 × √15 - 5√10) + 3√10Q14Simplify: (2³ × 3⁻² × 5⁴)/(6⁻¹ × 10²)Q15Simplify: ( (16⁻¹ × 8²)/(4⁻³ × 2⁵) )^(1/3)Q16Simplify: ((2x²y⁻¹)³)/((4xy)⁴) × ((4x⁻³y⁴)³)/((2x²y)³)Q17Find the simplified value of the following expression: (34 × 3-2) ÷ (33 × 3-5) × (36)-1Q18Simplify the following. 5¹⁵ ÷ 25^(13/2) ÷ 125^(2/3) + 5¹⁷ ÷ 125^(16/3) + 5³Q19Simplify: √(5 + √25 + 5² - 3² - 10) - √4Q20Simplify (3⁶ ÷ 3²)² × (3³ ÷ 3⁴) .
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