Question

There are three pillars, X, Y and Z of different heights. Three spiders A, B and C start to climb on these pillars simultaneously. In one chance. A climbs on X by 6cm but slips down 1 cm. B climbs on Y by 7 cm but slips down 3 cm. C climbs on Z by 6.5 cm but slips down 2 cm. If each of the requires 40 chances to reach the top of the pillars, what is the height of the shortest pillar?

(a) 161 cm

(b) 163 cm

(c) 182 cm

(d) 210 cm

Answer 1

Correct option is (b) 163 cm

Distance travelled by A in one chance = (6 - 1) cm = 5cm 

Distance travelled by B in one chance = (7 - 3) cm = 4cm

Distance travelled by C in one chance = (6.5 - 2) cm = 4.5 cm.

Hence, Length of pillar X = 5 x 39 + 6 = 201 cm

Length of pillar Y = 4 x 39 + 7 = 163 cm

Length of pillar Z = 4.5 x 39 + 6.5 = 182 cm

Length of shortest pillar Y = 163cm