MEDIUM
CAT
IMPORTANT
Earn 100

A factory manufactures dyes. It has 12 men and two machines which can be operated by all of its men. It takes 4 h to manufacture one dye on the machine with the operator. The machines can work continuously without a break. Without the machine each of the men can manufacture a dye in 8 h. The policy is such that the production is maximized and the men are ready to work in three shifts of 8 h per day. What will be the average cost incurred per dye if I man hour costs  ₹20 and I machine hour costs ₹15?

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Important Questions on Arithmetic

EASY
CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 37
Ramesh and Suresh can finish the garden cleaning in ‘p’ days. They worked together for ‘q’ days; then Ramesh fell sick and remaining cleaning was completed by Suresh in ‘r’ days. In how many days could each of them clean the garden?
MEDIUM
CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 38

A, B, C, D, and E are five taps. The capacity of Bis two times that of A, the capacity of C is three times that of A. Capacities of D and E are 4 and 5 times that of A, respectively. In the first case A, C, and E act as input pipes and B and D act as output pipes.

In the second case, C, D, E act as input pipes and A and B act as output pipes.

If A and B working together as input pipes can fill the tank in 4 h, then what is the difference in the time required to fill the tank in the first and second case stated above?

MEDIUM
CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 39

A tank has 5 inlet pipes. Three pipes are narrow and two are wide. Each of the three narrow pipes works at 12 the rate of each of the wide pipes. All the pipes working together will take what fraction of time taken by the two wide pipes working together to fill the tank?

MEDIUM
CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 41
A worm climbs a vertical bamboo stick 32 cm tall. The worm climbs 3 cm in the day and slipscm during the night each time 2 . However, there are cavities in the stick at 2 cm, 4 cm, 16 cm from the bottom that would not let the worm slip further. If the worm climbs only during the daytime and slips only during the night, on which day from the start will it reach the top?
MEDIUM
CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 42
Anil, Bhuvan and Chandan take 10, 20, and 25 days to complete a job. What is the minimum time required to finish the job ifnot more than two of them work together on a single day and no two consecutive days have the same pair of people working?
MEDIUM
CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 44
A contractor needs to complete a given work in 24 days. For every day that he finishes ahead of time, he gets an incentive '/' and for every day that he finishes behind time, he needs to pay a penalty 'P'. He has a choice of two workers who work as follows: A completes the work in 24 days for 75% of the time and in 30 days for 25% of the time. B completes the work in 20 days for 60% of the time and in 30 days for 40% of the time. At what ratio of P to I will the contractor be indifferent of using A or B?
MEDIUM
CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 45
Anuj can do a piece of work in a certain number of days. To do the same piece of work, Bhanu takes thrice the number of days as Anuj takes whereas Chandu takes thrice as many days as Bhanu does and Dodo takes thrice as many days as Chandu does. Now, they are paired and two groups are formed. The first pair takes one-third the time taken by the second pair to complete the work. which is the first pair?
MEDIUM
CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 8
A group of workers can complete a certain job in 9 days. But it so happens that every alternate day starting from the second day, two workers are withdrawn from the job and every alternate day starting from the third day, one worker is added to the group. In such a way, the job is finished by the time, there is no worker left. If it takes the double time to finish the job now, find the number of workers who started the job?