Practice MCQ Questions and Answer on Races and Games
11.
In a 100 m race, A beats B by 10 m and C by 13 m. In a race of 180 m, B will beat C by:
(A) 5.4 m
(B) 4.5 m
(C) 5 m
(D) 6 m
Solution:
$$\eqalign{ & A:B = 100:90 \cr & A:C = 100:87 \cr & \frac{B}{C} = \frac{B}{A} \times \frac{A}{C} \cr & \,\,\,\,\,\,\,\, = \frac{{90}}{{100}} \times \frac{{100}}{{87}} \cr & \,\,\,\,\,\,\,\, = \frac{{30}}{{29}} \cr} $$ When B runs180m, C runs $$ \left( {\frac{{29}}{{30}} \times 180} \right){\text{m}} = 174{\text{m}}$$ ∴ B beats C by (180 - 174) m = 6 m
12.
A and B can cover a 200 m race in 22 seconds and 25 seconds respectively. When Av finished the race, then B is at what distance from the finishing line ?
(A) 24 m
(B) 30 m
(C) 48 m
(D) 54 m
Solution:
Distance covered by B in 25 sec = 200 m Distance covered by B in 22 sec=$$\left( {\frac{{200}}{{25}} \times 22} \right)$$ m = 176 m ∴ B was at a distance of (200 - 176) m = 24 m from the finishing line.
13.
In a race of 800 m, Ram can beat Shyam by 50 m, and in a race of 600 m, Shyam can beat Ghanshyam by 40 m. By how many metres will Ram beat Ghanshyam in a race of 400 m?
(A) 80 m
(B) 50 m
(C) 100 m
(D) 40 m
Solution:
Answer & Solution Answer: Option B No explanation is given for this question Let's Discuss on Board
14.
In a linear race of 1000 m, A beats B by 50 m or 5 seconds. What is the difference between the speeds (in m/s) of A and B?
Amit and Beenu can cover a 400 m race in 44 seconds and 50 seconds, respectively. When Amit finished the race, then Beenu is at what distance from the finishing line?
(A) 48 m
(B) 52 m
(C) 45 m
(D) 50 m
Solution:
Beenu, 50 sec → 400 m 1 sec → 8 m 44 sec → 44 × 8 Amit,
16.
In a 1000 m race, A can beat B by 100 m. In a race of 400 m, B can beat C by 40 m. By how many metres will A beat C in a race of 500 m ?
(A) 85 m
(B) 95 m
(C) 105 m
(D) 115 m
Solution:
A : B = 1000 : 900, B : C = 400 : 360 = 100 : 90 = 900 : 810 ⇒ A : B : C = 1000 : 900 : 810⇒ A : C = 1000 : 810 ⇒ A : C = 500 : 405 ⇒ In a 500 m race, A beats C by (500 - 405) m = 95 m
17.
A can run 22.5 m while B runs 25 m. In a kilometre race B beats A by:
Four sisters Suvarna, Tara, Uma and Vibha are playing a game such that the loser doubles the money of each of the other players from her share. They played four games and each sister lost one game in alphabetical order. At the end of fourth game, each sister had Rs. 32. How much money did Suvarna start with ?
(A) Rs. 60
(B) Rs. 34
(C) Rs. 66
(D) Rs. 28
Solution:
End of Suvarna Tara Uma Vibha 4th Game 32 32 32 32 3rd Game 16 16 16 80 2nd Game 8 8 72 40 1st Game 4 68 36 20 OriginalMoney 62 34 18 10 Survarna starts with Rs. 66
20.
Geeta runs $$\frac{5}{2}$$ times as fast as Babita. In a race, if Geeta gives a lead of 40 m to Babita, find the distance from the starting point where both of them will meet (correct up to two decimal places).