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Races And Games - Aptitude MCQ Questions and Solutions with Explanations

Races And Games MCQ Questions and answers with easy and logical explanations.Arithmetic Ability provides you all type of quantitative and competitive aptitude mcq questions on Races And Games with easy and logical explanations. Races And Games MCQ is important for exams like Banking exams,IBPS,SCC,CAT,XAT,MAT etc. Page-5 section-1

41
In a kilometre race, A beats B by 30 seconds and B beats C by 15 seconds. If A beats C by 180 metres, the time taken by A to run 1 kilometre is.
Discuss
Answer & Solution
Answer: Option B
Solution:
Let the time taken by A to cover 1 km = $$x$$ seconds
Time taken by B and C = $$x$$ + 30 seconds and $$x$$ + 45 seconds
Races and Games mcq question image
$$\eqalign{ & \frac{x}{{x + 45}} = \frac{{41}}{{50}} \cr & 50x = 41x + 1845 \cr & x = 205{\text{ seconds}} \cr} $$
42
In a 400 metre race, A runs at a speed of 16 m/sec. If A gives B a start of 15 metres and still beats him by 10 sec, then what is the speed of B?
Discuss
Answer & Solution
Answer: Option A
Solution:
\[\begin{array}{*{20}{c}} {}&{\text{A}}&{\text{B}} \\ {{\text{Distance}} \to }&{400}&{385} \end{array}\]
$$\eqalign{ & \frac{{400}}{{\text{A}}} = \frac{{385}}{{\text{B}}} - 10 \cr & \frac{{400}}{{16}} = \frac{{385}}{{\text{B}}} - 10 \cr & 25 + 10 = \frac{{385}}{{\text{B}}} \cr & {\text{B}} = 11 \cr & {\text{Speed of B}} = 11{\text{ m/s}} \cr} $$
43
In a race of 1200 m, Ram can beat Shyam by 200 m or by 20 sec. What must be the speed of Ram?
Discuss
Answer & Solution
Answer: Option B
Solution:
Races and Games mcq question image
Shyam's speed = $$\frac{{200}}{{20}}$$ = 100 m/sec. Time constant
\[\begin{array}{*{20}{c}} {}&{{\text{Ram}}}&{}&{{\text{Shyam}}} \\ {{\text{Distance}} \to }&{1200}&:&{1000} \\ {}&{12}&:&{10} \\ {{\text{Speed}} \to }&{12}&:&{10 = 12} \end{array}\]
44
A can give 40 metres start to B and 70 metres to C in a race of one kilometre how many metres start can B give to C in a race of one kilometre?
Discuss
Answer & Solution
Answer: Option C
Solution:
\[\begin{array}{*{20}{c}} {\text{A}}&{\text{B}}&{\text{C}} \\ {1000}&{960}&{930} \end{array}\]
⇒ B can give C a start of 30 meters in a 960 meters race
$$\eqalign{ & \Rightarrow 960\,{\text{units}} \to 30 \cr & 1\,{\text{unit}} \to \frac{1}{{32}} \cr & 1000\,{\text{units}} \to \frac{{1000}}{{32}} = 31\frac{1}{4}{\text{ meters}} \cr} $$
45
In a 1500 m race, Anil beats Bakul by 150 m and in the same race Bakul beats Charles by 75 m. By what distance does Anil beat Charles?
Discuss
Answer & Solution
Answer: Option A
Solution:
\[\begin{array}{*{20}{c}} {}&{{\text{Anil}}}&{}&{{\text{Bakul}}} \\ {{\text{Distance}} \to }&{1500}&{}&{1350} \\ {}&{10}&:&9 \\ {}&{{\text{Bakul}}}&{}&{{\text{Charles}}} \\ {{\text{Distance}} \to }&{1500}&{}&{1425} \\ {}&{60}&:&{57} \end{array}\]
Races and Games mcq question image
Anil beats Charles by
$$\eqalign{ & = \frac{{87}}{{600}} \times 1500 \cr & = \frac{{435}}{2} \cr & = 217.50{\text{ m}} \cr} $$