1000+ Aptitude Questions and Answers for Placement Papers - 1

Ans: B

Ratio of speeds of A and B = $${5}/{3} : 1$$ = 5 : 3.

Thus, in a race of 5m, A gains 2 m over B.

2 m are gained by B in a race of 5 m.

80 m will be gained by B in a race of $$({5}/{2} × 80)$$m = 200 m.

∴ Winning post is 200 m away from the starting point.

Ans: D

A’s speed = 8 km/hr = $$(8 × {5}/{18})$$ m/sec = $${20}/{9}$$ m/sec.

Time taken by A to cover 800 m = $$(800 × {9}/{20})$$sec = 360 sec.

Time taken by B to cover 800 m (360 + 15) sec = 375 sec.

Speed of B = $${800} / {375}$$ m/sec = $$({800}/{375} × {18}/{5})$$ km/hr = $${192}/{25}$$ km/hr = $$7{17}/{25}$$

Ans: A

Time taken by A to run 100 m = $${100}/{1.66}$$ sec = $${100 × 100}/{166}$$sec = $${5000}/{83}$$ sec.

Time taken by B to run 96 m

= $$({5000} / {83} + 12)$$sec = $$({5000 + 996} / {83})$$sec = $${5996}/{83}$$sec.

B’s speed $$({96 × 83}/{5996})$$m/sec = $$({24 × 83}/{1499})$$m/s = $${1992}/{1499}$$m/s.

= 1.328 m/s = 1.33 m/s.

Ans: C

A : B = 1000 : 900 and B : C = 1000 : 850.

$${A}/{C}$$ = $${A}/{B} × {B}/{C}$$ = $${1000}/{900} × {1000}/{850}$$ = $${1000}/{765}$$ ⇒ A : C = 1000 : 765.

∴ A beats C by (1000 – 765) m = 235 m.

Ans: A

A’s speed = 5 km/hr = $$(5× {5}/{18})$$m/sec = $${25}/{18}$$ m/sec.

Time taken by A to cover 100 m = $$(100 × {18}/{25})$$ sec = 72 sec.

Time taken by B to cover 92 m = (72 + 8) sec = 80 sec.

B’s speed = $$({92}/{80})$$m/sec

= $$({92}/{80} × {18}/{5})$$km/hr = $${414}/{100}$$km/hr = 4.14 km/hr.