Top 100+ Races and Games Aptitude Questions Pdf - 1

Question: 1

In a 500 m race, the ratio of the speeds of two contestants A and B is 3 : 4. If A has a start of 140 m, then A wins by

(A) 10 m

(B) 20 m

(C) 30 m

(D) 40 m

Ans: B

To reach the wining post A has to cover = (500 – 140) m = 360 m.

While A covers 3 m, B covers 4 m.

While A covers 360 m, B covers $$({4}/{3}× 360)$$ m = 480 m.

Thus, when A reaches the winning post, B covers 480 m.

∴ A wins by (500 – 480) m = 20 m.

Question: 2

In a game of 100 points, A can give B 20 points and C 28 points. Then, B can give C.

(A) 8 points

(B) 10 points

(C) 12 points

(D) 14 points

Ans: B

A : B = 100 : 80 and A : C = 100 : 72.

∴ $${B}/{C}$$ = $$({B}/{A} × {A}/{C})$$ = $$(80/100 × 100/72)$$

= $${10}/{9} × {10}/{10}$$ = $${100}/{90}$$ = 100 : 90.

∴ B can give C 10 points.

Question: 3

In a kilometre race, A, B and C are three participants. A can give B a start of 50 m and C a start of 69 m. The start which B can allow C, is

(A) 16 m

(B) 18 m

(C) 20 m

(D) 22 m

Ans: C

A : B : C = 1000 : (1000 – 50) : (1000 – 69) = 1000 : 950 : 931.

In a 950 m race, B can give C a start of (950 – 931) m = 19 m.

In a 1000m race, B can give C a start of $$({19}/{950} × 1000)$$m = 20 m.

Question: 4

A and B can cover a 200 m race in 22 seconds and 25 seconds respectively. When A finished the race, then B is at what distance from the finishing line?

(A) 22 m

(B) 24 m

(C) 30 m

(D) 48 m

Ans: B

Distance covered by B in 25 sec. = 200 m.

Distance covered by B in 22 sec. = $$({200} / {25} × 22)$$m = 176 m.

∴ B was at a distance of (200 – 176) m = 24 m from the finishing line.

Question: 5

A, B and C are three contestants in a km race. If A can give B a start of 40 m and A can give C a start of 64 m, how many metres start can B give C?

(A) 20 m

(B) 25 m

(C) 30 m

(D) 40 m

Ans: B

A : B = 1000 : 960 and A : C = 1000 : 936

∴ $${B}/{C}$$ = $$({B}/{A} × {A}/{C})$$ = $$(960/1000 × 1000/936)$$

= $${1000}/{975}$$ ⇒ B : C = 1000 : 975.

∴ B can give C 25 m.

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