# Shortcut Trick To Solve Race And Game

## Effective for all Banking Exam

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Trick – 1
• In a game of billiards, A can give B ${{x}_{1}}$, points in x and A can give C ${{y}_{1}}$ in y. In a game of z, C can give B

$\left( \frac{y{{x}_{1}}-x{{y}_{1}}}{x\left( y-{{y}_{1}} \right)} \right)z$ points.
Trick – 2
• In a game of ’x’ points, A can give B ${{x}_{1}}$ points and C ${{x}_{2}}$ points (${{x}_{2}}$>${{x}_{1}}$), then B can give C

C $\left[ x\left( \frac{{{x}_{2}}-{{x}_{1}}}{x-{{x}_{1}}} \right) \right]po\operatorname{int}s$
Trick – 3
• A beats B by ${{y}_{1}}$ metres and C by ${{y}_{2}}$ metres in a race of ${{x}_{1}}$ metres. In a race of ${{x}_{2}}$ metres C beats B by

$\left( \frac{{{y}_{1}}-{{y}_{2}}}{{{x}_{1}}-{{y}_{2}}} \right)\times {{x}_{2}}$  metres
Trick – 4
• In a km race A beats B by X metres or t seconds. Then the time taken by A to complete the race is given by

$\frac{t}{x}(1000-x)seconds$
Trick – 5
• A can run a km rate in x min and B in y min(y>x). The distance by which A can beat B is given by

$\left[ 1000\left( 1-\frac{x}{y} \right) \right]metres$
Trick – 6
• In a 100 m race A runs at ‘x’ km/hr. A gives b a start of y metres and still beats him by ‘t’ seconds, then the speed of B is given by

$\frac{18}{5}\left[ \frac{(100-y)x}{360+xt} \right]km/hr.$

Questions for Practice

Q1. In a game of billiards, A can give B 12 points in 60 and A can give C 10 in 90. How many points  C can give B in a game of 70 ?
Q2.  In a game of 100 points, A can give B 25 points and C 31 points, then how many points can B give C ?
Q3. A beats B by 31 metres and C by 18 metres in a race of 200 metres. By how many metres will c beat B in a race of 350 metres ?
Q4. In a km race A beats B by 25 metres or 5 seconds. Find the time taken by A to complete the race
Q5. A can run a km rate in 3 min and B in 3 min 20 sec. By what distance  can A beat B ?
Q6. In a 100m race A runs at 5 km/hr. A gives B a start of 8 metres and still beats him by 8 seconds. Find  the speed of B. 