Interactive Formula Simulators

Aptitude Formula Simulators & Playground

Simulate quantitative aptitude equations in real time. Adjust sliders, watch visual animations, inspect step-by-step substitutions, and solve real campus exam problems.

12 Interactive SimulatorsStep-by-Step DerivationsTCS, CAT & Bank PO PresetsFull Visual Engines

Quick Navigation

Topic Concept Guides

Topic MCQ Practice Tests

Simulators

Quizzes

Presets

Showing 12 engines

Time & Distance

Relative Speed & Catchup

Railways

Train & Platform Crossing

Rivers & Motion

Boats & Streams Motion

Business Math

Profit, Loss & Markup %

Traders

Successive Discounts & False Weights

Banking & Money

Simple vs Compound Interest

Time & Work

Combined Work & Efficiency

Flow Control

Pipes & Cistern Filling / Draining

Mixtures

Rule of Alligation & Mixtures

Percentages

Successive % Changes & Weighted Avg

Counting

Permutations & Combinations

Number Series

Arithmetic Progression (AP)

Time & Distance

Relative Speed & Catchup

Simulate objects moving towards each other or in the same direction.

Relative Speed = S₁ ± S₂ | Time = Distance / Relative Speed

Railways

Train & Platform Crossing

Calculate crossing times for trains over poles, platforms, and bridges.

Time = (Train Length + Platform Length) / Speed(m/s)

Rivers & Motion

Boats & Streams Motion

Simulate boat speed in still water vs upstream/downstream flow.

Downstream = B + S | Upstream = B − S

Business Math

Profit, Loss & Markup %

Calculate CP, SP, profit percentage, and markup margins instantly.

Profit = SP − CP | Profit % = (Profit / CP) × 100

Traders

Successive Discounts & False Weights

Simulate combined store discounts and dishonest trader cheating %.

Equiv. Discount = d₁ + d₂ − (d₁ × d₂ / 100)

Banking & Money

Simple vs Compound Interest

Compare SI vs CI with annual, semi-annual, or monthly compounding.

A = P(1 + r/n)^(nt) | Diff = CI − SI

Time & Work

Combined Work & Efficiency

Simulate multiple workers finishing tasks together.

Combined Rate = 1/A + 1/B (+ 1/C)

Flow Control

Pipes & Cistern Filling / Draining

Simulate tank filling and draining times with leaks or outlet pipes.

Net Rate = 1/Inlet − 1/Outlet

Mixtures

Rule of Alligation & Mixtures

Determine mixing ratios for two ingredients at different costs.

Ratio = (Dear − Mean) : (Mean − Cheap)

Percentages

Successive % Changes & Weighted Avg

Calculate overall % change when two consecutive changes occur.

Net % = A + B + (A×B/100)

Counting

Permutations & Combinations

Simulate order arrangement (nPr) and selection grouping (nCr).

nPr = n!/(n−r)! | nCr = n!/(r!×(n−r)!)

Number Series

Arithmetic Progression (AP)

Calculate nth term and sum of first n terms in an arithmetic series.

aₙ = a + (n−1)d | Sₙ = (n/2)[2a + (n−1)d]

Time & Distance Simulator

Relative Speed & Catchup

Relative Speed = S₁ ± S₂ | Time = Distance / Relative Speed

Load Placement Exam Preset:

Distance (km)240 km

10 – 1000 km

Speed 1 (km/h)60 km/h

10 – 200 km/h

Speed 2 (km/h)40 km/h

10 – 200 km/h

Track Motion SimulatorRelative = 100 km/h

🚂 A(60)

(40)B 🚂

Trains converging — relative speed adds up

Relative Speed100 km/h

Time to Meet2.40 hrs

In Minutes144.0 min

Real-time Substitution Derivation

1.Relative Speed = 60 + 40 = 100 km/h

2.Time = Distance ÷ Rel. Speed = 240 ÷ 100 = 2.400 hours

3.In minutes = 2.400 × 60 = 144.0 minutes

Concept Check: Relative Speed & Catchup

+10 XP

Two trains 400 km apart approach each other at 80 km/h and 70 km/h. When do they meet?

Topic Concept Guides

Deep-dive theory for every aptitude topic

MCQ Practice Tests

Timed quizzes with campus placement difficulty

Aptitude Formula Simulators

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Home Aptitude HubFormula Simulators

Interactive Formula Simulators

Aptitude Formula Simulators & Playground

Simulate quantitative aptitude equations in real time. Adjust sliders, watch visual animations, inspect step-by-step substitutions, and solve real campus exam problems.

12 Interactive SimulatorsStep-by-Step DerivationsTCS, CAT & Bank PO PresetsFull Visual Engines

Quick Navigation

Topic Concept Guides

Topic MCQ Practice Tests

Simulators

Quizzes

Presets

Showing 12 engines

Time & Distance

Relative Speed & Catchup

Railways

Train & Platform Crossing

Rivers & Motion

Boats & Streams Motion

Business Math

Profit, Loss & Markup %

Traders

Successive Discounts & False Weights

Banking & Money

Simple vs Compound Interest

Time & Work

Combined Work & Efficiency

Flow Control

Pipes & Cistern Filling / Draining

Mixtures

Rule of Alligation & Mixtures

Percentages

Successive % Changes & Weighted Avg

Counting

Permutations & Combinations

Number Series

Arithmetic Progression (AP)

Time & Distance

Relative Speed & Catchup

Simulate objects moving towards each other or in the same direction.

Relative Speed = S₁ ± S₂ | Time = Distance / Relative Speed

Railways

Train & Platform Crossing

Calculate crossing times for trains over poles, platforms, and bridges.

Time = (Train Length + Platform Length) / Speed(m/s)

Rivers & Motion

Boats & Streams Motion

Simulate boat speed in still water vs upstream/downstream flow.

Downstream = B + S | Upstream = B − S

Business Math

Profit, Loss & Markup %

Calculate CP, SP, profit percentage, and markup margins instantly.

Profit = SP − CP | Profit % = (Profit / CP) × 100

Traders

Successive Discounts & False Weights

Simulate combined store discounts and dishonest trader cheating %.

Equiv. Discount = d₁ + d₂ − (d₁ × d₂ / 100)

Banking & Money

Simple vs Compound Interest

Compare SI vs CI with annual, semi-annual, or monthly compounding.

A = P(1 + r/n)^(nt) | Diff = CI − SI

Time & Work

Combined Work & Efficiency

Simulate multiple workers finishing tasks together.

Combined Rate = 1/A + 1/B (+ 1/C)

Flow Control

Pipes & Cistern Filling / Draining

Simulate tank filling and draining times with leaks or outlet pipes.

Net Rate = 1/Inlet − 1/Outlet

Mixtures

Rule of Alligation & Mixtures

Determine mixing ratios for two ingredients at different costs.

Ratio = (Dear − Mean) : (Mean − Cheap)

Percentages

Successive % Changes & Weighted Avg

Calculate overall % change when two consecutive changes occur.

Net % = A + B + (A×B/100)

Counting

Permutations & Combinations

Simulate order arrangement (nPr) and selection grouping (nCr).

nPr = n!/(n−r)! | nCr = n!/(r!×(n−r)!)

Number Series

Arithmetic Progression (AP)

Calculate nth term and sum of first n terms in an arithmetic series.

aₙ = a + (n−1)d | Sₙ = (n/2)[2a + (n−1)d]

Time & Distance Simulator

Relative Speed & Catchup

Relative Speed = S₁ ± S₂ | Time = Distance / Relative Speed

Load Placement Exam Preset:

Distance (km)240 km

10 – 1000 km

Speed 1 (km/h)60 km/h

10 – 200 km/h

Speed 2 (km/h)40 km/h

10 – 200 km/h

Track Motion SimulatorRelative = 100 km/h

🚂 A(60)

(40)B 🚂

Trains converging — relative speed adds up

Relative Speed100 km/h

Time to Meet2.40 hrs

In Minutes144.0 min

Real-time Substitution Derivation

1.Relative Speed = 60 + 40 = 100 km/h

2.Time = Distance ÷ Rel. Speed = 240 ÷ 100 = 2.400 hours

3.In minutes = 2.400 × 60 = 144.0 minutes

Concept Check: Relative Speed & Catchup

+10 XP

Two trains 400 km apart approach each other at 80 km/h and 70 km/h. When do they meet?

Topic Concept Guides

Deep-dive theory for every aptitude topic

MCQ Practice Tests

Timed quizzes with campus placement difficulty