NivaarExam Prep

04-BS-7

Worked solutions to 14 past sittings (2013–2019), 182 questions. Pick a sitting, or start from a topic below.

Topics across the sittings

Topics that come up in more than one sitting, taken from the headings of our worked solutions. A topic counts once per sitting.

Questions by sitting

December 2019

  1. Question 1: Absolute Pressure in a Pipe from a Multi-Fluid Manometer
  2. Question 2: Hot-Air Balloon — Temperature for Neutral Buoyancy
  3. Question 3: Concrete Canal Wall — Middle-Third Stability Check
  4. Question 4: Electrical Power to Pump Gasoline Between Gauges
  5. Question 5: Centrifugal Pump and System Operating Point
  6. Question 6: Thrust Developed by an Aircraft Propeller
  7. Question 7: Pressure Drop in a Sloping Mine Ventilation Tunnel
  8. Question 8: Flow Rate in a Gravity Water Supply Pipeline
  9. Question 9: Boeing 747 — Lift Coefficient, Drag Coefficient and Thrust Power at Cruise
  10. Question 10: Sliding Stability of Two L-Shaped Dams Under Uplift
  11. Question 11: Air Pressure in a Submerged Cylinder — Two Filling Sequences
  12. Question 12: Why a Vacuum Nozzle Must Be Held Closer Than a Blower Nozzle
  13. Question 13: Why Turning Vanes Reduce Head Loss in a Duct Bend

December 2018

  1. Question 1: Gravity Dam Stability — Middle-Third Rule
  2. Question 2: Equilibrium Level in a Discharging Tank — Gasoline vs Lubricating Oil
  3. Question 3: Archimedes' Crown — Purity by Weight of a Gold–Silver Alloy
  4. Question 4: Hydraulic Jump — Momentum Force Balance and Flow Rate
  5. Question 5: Hydraulic Jump — Head, Energy and Power Loss
  6. Question 6: Trapezoidal Irrigation Canal — Elevation Drop from General Pipe-Flow Relations
  7. Question 7: Jet Force on a Plate vs Static Nozzle Pressure Force
  8. Question 8: Turbojet Engine — Inlet Area and Thrust
  9. Question 9: Treadmill Incline to Simulate Outdoor Wind Resistance
  10. Question 10: Sliding Stability of Two Triangular Dams
  11. Question 11: Wide Shallow River Under Flood Conditions
  12. Question 12: Aerodynamics of a Frisbee in Flight
  13. Question 13: Self-Righting Stability of a Falling Playing Card

May 2018

  1. Question 1: Multi-Fluid Manometer on a Water Pipe
  2. Question 2: Crosby Gauge Tester — Percent Error
  3. Question 3: Shower Curtain Deflection Angle
  4. Question 4: Submersible Fountain Pump Power
  5. Question 5: Beach Wave — Hydraulic Jump Power Dissipation
  6. Question 6: Pressure Drop in a Corrugated Air-Exchanger Pipe
  7. Question 7: Jet Engine Forward and Reverse Thrust
  8. Question 8: Terminal Velocity of a Table Tennis Ball
  9. Question 9: Wind and Gravity Loads on a Power-Line Conductor
  10. Question 10: Stability of a Floating Square Bar
  11. Question 11: The Laminar-to-Turbulent Friction-Factor Jump on the Moody Diagram
  12. Question 12: Stable Falling Orientation of a Hemisphere
  13. Question 13: Magnus Effect — Why Topspin Makes a Table Tennis Ball Dip

December 2017

  1. Question 1: Two-Fluid Manometer Between Pipes A and B
  2. Question 2: Venturi Tube Measuring Gasoline Flow
  3. Question 3: Ideal Flow Velocity and Pressure Around a Chimney
  4. Question 4: Electrical Power for a Gasoline Pump
  5. Question 5: Thrust on a Wind Turbine
  6. Question 6: Island Bend Dam — Spillway Discharge and Gate Force
  7. Question 7: Pipe Diameter Selection Using the Moody Diagram
  8. Question 8: Car Drag Coefficient, Power, and Fuel Consumption
  9. Question 9: Wind Loading on a Multi-Flue Chimney
  10. Question 10: Duct Bend Head Loss — Plain vs. Vaned
  11. Question 11: Capillary Rise Between Rods of Two Sizes
  12. Question 12: Steam Condenser — Small Tubes vs. Large Tubes
  13. Question 13: Jet Force and Energy Transfer — Flat vs. Curved Plate

May 2017

  1. Question 1: Capillary Rise in a Rectangular Channel
  2. Question 2: Reservoir Flip-Gate — Open or Remain Closed?
  3. Question 3: Helium Balloon — Mass and Altitude Volume Change
  4. Question 4: VDI Orifice Meter — Differential Pressure Reading
  5. Question 5: Hydraulic Jump — Flow Rate from Depths
  6. Question 6: Hydraulic Jump — Head, Energy and Power Loss
  7. Question 7: Head Loss in a Rectangular Ventilation Duct
  8. Question 8: CANDU Fuel Bundle — Coolant Pressure Drop
  9. Question 9: Falling-Sphere Viscometer — Oil Viscosity
  10. Question 10: Significance of the Laminar Sublayer
  11. Question 11: Floating Square Bar — Stable Orientation
  12. Question 12: Duct Bend Head Loss — Orientation of a Rectangular Bend
  13. Question 13: Barge Passing Over an Aqueduct — Change in Pillar Load

December 2016

  1. Question 1: Neutral-Buoyancy Temperature of a Hot-Air Balloon
  2. Question 2: Middle-Third Stability Check on a Concrete Gravity Dam
  3. Question 3: Velocity Variation Around a Cylinder from Streamline Spacing
  4. Question 4: Wind-Induced Stagnation and Side Pressure on a Chimney
  5. Question 5: Propeller Thrust via Actuator-Disk (Momentum) Theory
  6. Question 6: Wind-Induced Suction Ventilating an Outhouse Pit
  7. Question 7: Head Loss in an Outhouse Vent Pipe
  8. Question 8: Elevation Drop for Uniform Flow in a Trapezoidal Irrigation Canal
  9. Question 9: Settling Velocity of Magnetite Slurry Particles (Stokes' Law)
  10. Question 10: Velocity and Flow-Rate Response of a Wide River in Flood
  11. Question 11: Stability of a Floating Square Bar — Horizontal vs Vertical
  12. Question 12: Draining-Time Comparison — Upright vs Inverted Conical Tanks
  13. Question 13: Relative Sinking Depth in Light Oil vs Quicksand

May 2016

  1. Question 1: Absolute Pressure in a Pipe from a Multi-Fluid Manometer
  2. Question 2: Depth to the Water Table from an Air-Purge Borehole Test
  3. Question 3: Middle-Third (No-Tension) Check on a Concrete Canal Wall
  4. Question 4: Minimum Wind Velocity to Lift a Flat Insulation Panel
  5. Question 5: Total Head Loss from a Reservoir-Fed Pipe Test
  6. Question 6: Sizing a Pipeline Diameter via the Colebrook/Moody Friction Relation
  7. Question 7: Jet Force vs. Static Pressure Force on a Nozzle Plate
  8. Question 8: Centrifugal Pump – System Operating Point
  9. Question 9: Lift, Drag, and Thrust Power of a Cruising Boeing 747
  10. Question 10: Change in Compressive Force on Aqueduct Pillars as a Barge Passes
  11. Question 11: Which Triangular Dam Is More Likely to Slide?
  12. Question 12: Flow Net and Streamlines Through a Conical Converging Nozzle
  13. Question 13: Streamline Patterns for Tank Inflow/Outflow and Sharp-Edged Orifice Jets

December 2015

  1. Question 1: Capillary Rise Between Touching Glass Rods
  2. Question 2: Percent Error in a Crosby Gauge Tester
  3. Question 3: Stagnation and Side Pressure on a Cylindrical Chimney
  4. Question 4: Island Bend Dam — Spillway Discharge and Gate Force
  5. Question 5: Viscosity and Tank Equilibrium Level — Gasoline vs. Lubricating Oil
  6. Question 6: Ideal-Flow Velocity and Flow Rate Through a Sharp-Edged Nozzle
  7. Question 7: Turbojet Thrust and Duct Areas
  8. Question 8: Rate of Rise of a Helium Meteorological Balloon
  9. Question 9: Pressure Drop in a Corrugated Aluminum Air Duct
  10. Question 10: HGL and EGL Profiles Along the Island Bend Dam Spillway
  11. Question 11: Why the Moody Friction Factor Jumps at the Laminar–Turbulent Transition
  12. Question 12: Sliding Resistance of Two L-Shaped Gravity Dams
  13. Question 13: Shape of a Falling Raindrop — Large vs. Small

May 2015

  1. Question 1: Three-Fluid Differential Manometer
  2. Question 2: Force to Lift a Submerged Concrete-Block Gate
  3. Question 3: Horizontal Force on the Jounama Dam Radial Gate Pivots
  4. Question 4: Electrical Power for a Gasoline Transfer Pump
  5. Question 5: Pitot-Static Tube Air-Velocity Measurement
  6. Question 6: Thrust on a Wind Turbine (Actuator-Disk Theory)
  7. Question 7: Flow Rate in a Gravity-Fed Concrete Pipeline
  8. Question 8: Head Loss in an Annular Duct
  9. Question 9: Maximum Sustainable Cycling Speed from Drag Data
  10. Question 10: Effect of Pipe-Wall Roughness on the Turbulent Velocity Profile
  11. Question 11: Fastest-Draining Orientation for a Cylindrical Drum
  12. Question 12: Force and Energy Transfer — Flat vs. Curved Plate under a Jet
  13. Question 13: Why a Shower Curtain Blows Inward

December 2014

  1. Question 1: Hydrostatic Force on a Hemispherical Wall Projection
  2. Question 2: Gravity Dam Stability (Middle-Third Rule)
  3. Question 3: Power for a Submersible Garden Fountain
  4. Question 4: Radial Inflow Velocity to a Tank Drain
  5. Question 5: Jet on a Moving Curved Plate (180° Turn)
  6. Question 6: Stagnation Pressure Limit for a Motorcyclist
  7. Question 7: Pressure Drop in a Sloping Mine Ventilation Tunnel
  8. Question 8: Elevation Drop for a Trapezoidal Irrigation Canal
  9. Question 9: Oil Viscosity from a Sphere's Terminal Velocity
  10. Question 10: Stable Floating Orientation of a Square Bar
  11. Question 11: Compressive Force on Aqueduct Pillars as a Barge Passes
  12. Question 12: High-Lift Aircraft Wing Configurations
  13. Question 13: Drafting: Cyclists vs. Swimmers

May 2014

  1. Question 1: Capillary Rise in a Flattened Tube
  2. Question 2: Manometer Fluid Identification
  3. Question 3: River Flow Accumulation and Level Rise
  4. Question 4: Head Loss in a Reservoir-Fed Pipe
  5. Question 5: Temperature Rise in a Closed Pump Circuit
  6. Question 6: Nozzle Jet Velocity and Discharge
  7. Question 7: Jet Force on a Plate: Dynamic vs. Static
  8. Question 8: Drain-Cleaning Nozzle Thrust
  9. Question 9: Pipe Sizing from the Moody Chart
  10. Question 10: Flow Net for a Converging Nozzle
  11. Question 11: Orifice Meter, Manometer, and Grade Lines
  12. Question 12: Drafting: Cyclists vs. Swimmers
  13. Question 13: Shape of a Falling Raindrop

December 2013

  1. Question 1: Capillary Rise Between Closely Packed Vertical Rods
  2. Question 2: Viscous Heating in the Crankshaft Main Bearings
  3. Question 3: Sliding Friction Required to Hold a Concrete Dam
  4. Question 4: Head Loss in a Long Water Supply Pipeline
  5. Question 5: Wind-Induced Ventilation of an Outhouse Pit
  6. Question 6: Power Required for a Submersible Garden Fountain
  7. Question 7: Thrust and Flow Areas of a Turbojet Engine
  8. Question 8: Pipe Diameter Selection from the Moody Chart
  9. Question 9: Settling Velocity of Magnetite in a Separation Slurry
  10. Question 10: Spillway Flow — Streamlines, EGL and HGL
  11. Question 11: Stable Floating Orientation of a Square Timber
  12. Question 12: Flood Velocity and Flow Rate in a Wide Shallow River
  13. Question 13: Flow Characteristics — Sink/Jet Streamlines and Orifice Contraction

May 2013

  1. Question 1: Compound Manometer — Absolute Pressure in a Pipe
  2. Question 2: Hot Air Balloon — Neutral Buoyancy Temperature
  3. Question 3: Hinged Gate — Open or Remain Closed?
  4. Question 4: Radial Flow to a Drain Hole
  5. Question 5: Ideal Flow Around a Cylinder — Chimney in Wind
  6. Question 6: Minimum Wind Velocity to Lift an Insulation Panel
  7. Question 7: Propeller Thrust
  8. Question 8: Pipe Friction Between Two Reservoirs (Moody Chart)
  9. Question 9: Rate of Rise of a Hydrogen Balloon (Drag Chart)
  10. Question 10: Sinking in Light Oil vs. Quicksand
  11. Question 11: Which L-Shaped Dam Slides?
  12. Question 12: Barge Crossing an Aqueduct
  13. Question 13: Shape of a Falling Raindrop

Undated paper

  1. Question 1: Pressure in Pipe A from a Two-Fluid Differential Manometer
  2. Question 2: Pitot-Static Tube in an Air Duct
  3. Question 3: Counterweight Mass for a Hinged Dam Gate
  4. Question 4: Minimum Wind Speed to Lift an Insulation Panel
  5. Question 5: Ideal-Flow Orifice Jet from a Pressurized Pipe
  6. Question 6: Force, Power and Efficiency of a Jet on a Moving Curved Plate
  7. Question 7: Efficiency of a Submersible Sump Pump
  8. Question 8: Friction Head Loss in a Flexible Corrugated Discharge Pipe
  9. Question 9: Pressure Drop Along a CANDU Fuel Bundle Annulus
  10. Question 10: Capillary Rise Between Two Square-Packed Rod Arrays
  11. Question 11: Shape of a Falling Raindrop
  12. Question 12: Sinking Depth — Light Oil versus Quicksand
  13. Question 13: High-Lift Wing Configurations