RRB Group D Practice

Surds and Indices Questions for RRB Group D Exam

RRB Group D Surds and Indices Questions bring together the published questions available for this exam on PrepShots. Work through the set at your own pace, revise the underlying concepts when needed, and open any question to view its complete solution.

48Questions

Surds and Indices RRB Group D Questions

Showing 1–20 of 48
Q1Simplify the following. (√6 × √15 - 5√10) + 3√10
RRB Group D2025Surds and Indices
Q2Simplify: (2³ × 3⁻² × 5⁴)/(6⁻¹ × 10²)
RRB Group D2025Surds and Indices
Q3Simplify: ( (16⁻¹ × 8²)/(4⁻³ × 2⁵) )^(1/3)
RRB Group D2025Surds and Indices
Q4Simplify: ((2x²y⁻¹)³)/((4xy)⁴) × ((4x⁻³y⁴)³)/((2x²y)³)
RRB Group D2025Surds and Indices
Q5Find the simplified value of the following expression: (34 × 3-2) ÷ (33 × 3-5) × (36)-1
RRB Group D2025Surds and Indices
Q6Simplify the following. 5¹⁵ ÷ 25^(13/2) ÷ 125^(2/3) + 5¹⁷ ÷ 125^(16/3) + 5³
RRB Group D2025Surds and Indices
Q7Simplify: √(5 + √25 + 5² - 3² - 10) - √4
RRB Group D2025Surds and Indices
Q8Simplify (3⁶ ÷ 3²)² × (3³ ÷ 3⁴) .
RRB Group D2025Surds and Indices
Q9Simplify: (√75 - √108 + √6075)²
RRB Group D2025Surds and Indices
Q10Simplify: √(51 - √7 + √(11 - 4√7))
RRB Group D2025Surds and Indices
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Q11Simplify the following expression. ((256)⁴ × (125)³ × (81)⁵)/((64)⁵ × (25)⁴ × (27)⁶)
RRB Group D2025Surds and Indices
Q12Find the value of x in the following expression. (0.36)³ × (0.216)³ ÷ (0.1296)³ = (60 ÷ 100)^(x+1)
RRB Group D2025Surds and Indices
Q13If 5^(x - y) = 3125 and 3^(3x + y) = 2187 , then the value of 19x - 18y is:
RRB Group D2025Surds and Indices
Q14If 4(x + 1) = 64 × 8x find the value of x.
RRB Group D2025Surds and Indices
Q15Simplify: (√98 + √200 - 2√8)²
RRB Group D2025Surds and Indices
Q16The simplified value of √256 - √169 + (√144 - √25)² is:
RRB Group D2025Surds and Indices
Q17If √72 + √12 = a√2 + b√3 , then what is the value of a - b ?
RRB Group D2025Surds and Indices
Q18If 3^(((x⁴+x²+1)/(x²+x+1))) = 3^((2x+5)) , then find the positive value of x.
RRB Group D2025Surds and Indices
Q19Simplify: √2 + 1/√2 + 1/(2+√2) - 1/(2-√2)
RRB Group D2025Surds and Indices
Q20Simplify ((32)6)5 and express it as a power of 9. What is the exponent of 9?
RRB Group D2025Surds and Indices
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