Surds and Indices Aptitude Questions
Surds and Indices Aptitude Questions for Government Exams bring together published practice from government recruitment papers across different exam bodies. Work through the set at your own pace, revise concepts as needed and open any question to view its complete solution.
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Showing 1–20 of 208Surds and Indices Aptitude Questions for Competitive Exams
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)Q5If x = ∛512 , y = 6√64 and z = 6³ - 2 × 10² , then ∛(10(x² + y³ + z + 12)) is equal to:Q6Simplify : ∛5832/⁴√1296 × 3/54 × 168Q7The value of (√5043 × √50)/(√32 × √1323) is :Q8If x/y = (-1/3)⁻³ ÷ (2/3)⁻⁴ , then the value of (x/y + y/x)⁻¹ × (y/x)⁻¹ is :Q9Solve √(20+√(20+√(20+...)))Q10Evaluate : √(6-√(6-√(6- ....)))Practice Free →Q11Solve √(30-√(30-√(30-....)))Q12Rationalize the denominator: 1/√(7+2)Q13Evaluate: ((6561)^(x/4) (9)^((2x+1)))/(81^x 9^((x-1))) .Q14(149)^(0.28) = a and (149)^(0.48) = b , a² = b^c , the value of c is :Q15Simplify: (2√3)/√12Q16If (3⁴ × 2⁵ × 1080)/360 = 6^p, what is the value of P² - 5p + 1 ?Q17An officer computes (√50 + √8).Simplify.Q18A clerk simplifies (√20)(√5) for budget entries. The result is:Q19An officer simplifies 1/(√3 + √2) . The simplified form is:Q20An officer checks the cost ratio: √18 ÷ √2 .Simplify.
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Surds and IndicesApproximationBasic CalculationBasic OperationsBODMAS RuleChange of Base FormulaDecimal to Fraction ConversionDecimal to Percentage
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