Quantitative Aptitude - Arithmetic Ability Questions

If a2+1=9a, (a≠0) then the value of a2+1a2 is

If a+b+c=15 and 1a+1b+1c=71abc, then the a3+b3+c3-3abc is

Two trains start moving from stations S and R. Both trains move towards each other at speeds of 35 km/hr and 42 km/hr respectively. When they meet each other, the second train has travelled 90 km more than the first. What is the distance (in km) between S and R?

For triangle PQR, find equation of altitude PS if co-­ordinates of P, Q and R are (1,2), (2,­-1) and (0,5) respectively?

In the following question, four number pairs are given. The number on left side of (–) is related to the number on the right side of (–) with some Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the

Find the value of 64344?

From the top of a tower 60 mts high the angle of depression of the top and bottom of a pole are observed to be 45° and 60° respectively. If the pole and tower stand on the same plane, the height of the pole in meters is

35% of an alloy was silver. If in the quantity of alloy there was 119 g of silver, what was the quantity of the elements in the alloy?