CAT Algebra

Reading Test 1

Question No : 1

Q.1 Rahul, Rakshita and Gurmeet, working together, would have taken more than 7 days to finish a job. On the other hand, Rahul and Gurmeet, working together would have taken less than 15 days to finish the job. However, they all worked together for 6 days, followed by Rakshita, who worked alone for 3 more days to finish the job. If Rakshita had worked alone on the job then the number of days she would have taken to finish the job, cannot be

Question No : 2

Q.2 A can do a piece of work in 10 days and B in 12 days. Find how much time they will take to complete the work if they work together.

Question No : 3

Q.3 A can do a piece of work in 10 days and B in 12 days. Find how much time they will take to complete the work if they work alternately starting with A?

Question No : 4

Q.4 A can do a piece of work in 10 days and B in 12 days. Find how much time they will take to complete the work if they work alternately starting with B?

SubQuestion No : 5

Q.5 A can do a piece of work in 10 days and B in 12 days. Find how much time they will take to complete the work if B leaves 2 days before the actual completion of the work?

SubQuestion No : 6

Q.6 A can do a piece of work in 10 days and B in 12 days. Find how much time they will take to complete the work if another person C who does negative work (that is works against A and B and can completely destroy the work in 20 days) joins them and they work together all the time?

SubQuestion No : 7

Q.7 A contractor undertakes to build a wall in 50 days. He employs 50 people for the same. However, after 25 days, he finds the work is only 40% complete. How many more men will need to be employed to complete the work on time?

SubQuestion No : 8

Q.8 A contractor undertakes to build a wall in 50 days. He employs 50 people for the same. However, after 25 days, he finds the work is only 40% complete. How many more men will need to be employed to complete the work 10 days before time?

SubQuestion No : 9

Q.9 A contractor undertakes to build a wall in 50 days. He employs 50 people for the same. However, after 25 days, he finds the work is only 40% complete. If he continues with the same workforce, how many days behind schedule will the work be finished?

SubQuestion No : 10

Q.10 A contractor undertakes to build a wall in 50 days. He employs 50 people for the same. However, after 25 days, he finds the work is only 40% complete. If he continues with the same workforce, how much increase in efficiency is required from the work force to complete the work on time?

SubQuestion No : 11

Q.11 A is twice as efficient as B. If they complete a work in 30 days, find the time required by each to complete the work individually.

SubQuestion No : 12

Q.12 A is two times more efficient than B. If they complete a work in 30 days, then find the time required by each to complete the work individually.

SubQuestion No : 13

Q.13 Raju can do 25% of a piece of work in 5 days. How many days will he take to complete ten times the work?

SubQuestion No : 14

Q.14 6 men can do a piece of work in 12 days. How many men are needed to do the work in 18 days?

SubQuestion No : 15

Q.15 A can do a piece of work in 20 days and B can do it in 15 days. How long will they take if both work together?

SubQuestion No : 16

Q.16 In question 15 if C, who can finish the work in 25 days, joins them, then how long will they take to complete the work.