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 6 cm 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 them requires 40 chances to reach the top of the pillars, what is the height of the shortest pillar?
163
Pillar X: In one chance, A climbs on X by 6 cm but slips down 1 cm. Hence, in one chance A climbs 6 – 1 = 5 cm. Height attained after 39 chances = 39 × 5 = 195 cm Thereafter in the 40th and last chance it will climb 6 cm to reach the top. So, height of pillar X = 195 + 6 = 201 cm Pillar Y: In one chance, B climbs on Y by 7 cm but slips down 3 cm. Hence, in one chance B climbs 7 – 3 = 4 cm. Height attained after 39 chances = 39 × 4 = 156 cm Thereafter in the 40th and last chance it will climb 7 cm to reach the top. So, height of pillar Y = 156 + 7 = 163 cm Pillar Z: In one chance, C climbs on Z by 6.5 cm but slips down 2 cm. Hence, in one chance C climbs 6.5 – 2 = 4.5 cm. Height attained after 39 chances = 39 × 4.5 = 175.5 cm Thereafter in the 40th and last chance it will climb 6.5 cm to reach the top. So, height of pillar Z = 175.5 + 6.5 = 182 cm So, height of the shortest pillar (i.e. pillar Y) = 163 cm
Important Questions from Time and work
A person can complete 20% of work in 8 days and another person y can complete 25% of the same work in 6 days. If they work together, in how many days will 40% of the work be completed?
P works thrice as fast as Q, whereas P and Q together can work four times as fast as R. If P, Q and R together work on a job, in what ratio should they share the earnings?
There is an order of 19000 quantity of a particular product from a customer. The firm produces 1000 quantity of that product per out of which 5% are unfit for sale. In how many days will the order be completed?
Ram and Shyam work on a job together for four days and complete 60% of it. Ram takes leave then and Shyam works for eight more days to complete the job. How long would Ram take to complete the entire job alone?
W can do 25% of a work-in 30 days, X can do 1/4 of the work in 10 days, Y can do 40% of the work in 40 days and Z can do 1/3 of the work in 13 days. Who will complete the work first?
