**Mumbai University Question paper of MCA Entrance Examination -**

**Mumbai University**

**Mumbai University**

**http://www.mu.ac.in**

The University of Mumbai is a state university located in Mumbai, Maharashtra, India. It was known as the University of Bombay until 1996 when the city of Bombay was renamed as Mumbai. The affiliated colleges of the university are spread throughout the city of Mumbai and four coastal districts in Maharashtra: Thane, Raigad, Ratnagiri and Sindhudurg. The university offers Bachelors', Masters' and Doctoral degrees apart from Diplomas and Certificates in many disciplines.

**Mumbai University**

**Question paper of MCA Entrance Examination :**

Q1. Three friends divided some bullets equally. After all of them shot 4 bullets the total number of bullets remaining is equal to the bullets each had after division. Find the original number divided

a) 20 (b) 17 c) 18 (d) 30

2. Which of the following is not one of the three basic categories of tasks a computer can perform?

(a) Arithmetic operations (b) Comparison operations (c) Storage and retrieval operations (d) Printing operations

Q3. If you started a business in which you earned Rs.1 on the first day, Rs.3 on the second day, Rs.5 on the third day, Rs.7 on the fourth day, & so on. How much would you have earned with this business after 50 years (assuming there are exactly 365 days in every year)?

a) Rs.333,062,500 (b) Rs.323,062,500 c) Rs.303,062,500 (d) Rs.313,062,500

Q4. _______ consists of the physical components of a computer system.

(a) Software (b) A program (c) Hardware (d) Data

Q5. _______ consists of facts that have not been organized in a meaningful way.

(a) Information (b) A program (c) Data (d) Output

Q6. At 6'o a clock ticks 6 times. The time between first and last ticks is 30 seconds. How long does it tick at 12'o clock.

a) 60 Sec (b) 47 Sec c) 66 Sec (d) 50 Sec

Q7. Mr. Subramaniam rents a private car for Andheri-Colaba-Andheri trip. It costs him Rs. 300 everyday. One day the car driver informed Mr. Subramaniam that there were two students from Bandra who wished to go from Bandra to Colaba and back to Bandra. Bandra is halfway between Andheri and Colaba. Mr. Subramaniam asked the driver to let the students travel with him. On the first day when they came, Mr. Subramaniam said, "If you tell me the mathematically correct price you should pay individually for your portion of the trip, I will let you travel for free." How much should the individual student pay for their journey?

a) 50 (b) 17 c) 48 (d) 30

Q8. What part of the central processing unit performs mathematical computations?

(a) Secondary Storage (b) Arithmetic Logic Unit (c) Control Unit (d) Primary Storage Unit

Q9 If 7 men make 7 pent in 7 days , then 1 men will make one pent in how many days ?

(a) 1 (b) 7/2 (c) 7 (d) 49

Q10. A worker earns a 5% raise. A year later, the worker receives a 2.5% cut in pay, & now his salary is Rs. 22702.68 What was his salary to begin with?

(a) Rs.21176 (b) Rs.22176 (c) Rs.22500 (d) Rs.20507

Q11. If 9 examiners can examine a certain number of answer books in 12 days , working 5 hours a day ; for how many hours a day would four examiners have to work in order to examine twice the number of answer books in 30 days ?

(a) 6 (b) 8 (c) 9 (d) 10

Q12. If 3/5 of the cistern is filled in one minute , how much more time will be required to fill the rest of it

(a) 30 sec (b) 40 sec (c) 36 sec (d) 24 sec

Q13. If 5 engines consumes 6 metric tones of coal when each is running 9 hours a day , how many metric tones of coal will be needed for 8 engines , each running 10 hours a day , it being given that 3 engine of the former type consumes as much as 4 engine of the later type ?

(a) 25/8 (b) 8 (c) 80 /9 (d) 162/25

Q14. Some persons can do a piece of work in 12 days . Two times the number of such persons will do half of that work in

(a) 6 days (b) 4 days (c) 3 days (d) 12 days

Q15. A truck covers a distance of 550 meters in 1 minutes whereas a bus covers a distance of 33 kms in 45 min. The ratio of their speed is

(a) 3 : 4 (b) 4 : 3 (c) 3 : 5 (d) 50 : 3

Q16. A persons travel equal distance with speed of 3 km/hr , 4 km/hr , 56 km/hr & takes a total time of 47 minute . The total distance is

(a) 2 (b) 3 (c) 4 (d) 5

Q17. A car traveling with 5/7 of its actual speed cover 42 km in 1 hr 40 min 48 sec . Find the actual speed of the car

(a) 26 km/hr (b) 25 km/hr (c) 35 km/hr (d) 396 km/hr

Q18. Excluding stoppages , the speed of the bus is 54 km/hr & including stoppages , it is 45 km/hr . . For how many minutes does the bus stop per hour ?

(a) 9 (b) 10 (c) 12 (d) 20

Q19. Three persons are walking from a place A to another place B . Their speed are in the ratio of 4 : 3 : 5 . The time ratio to reach the B by these persons will be

(a) 4 : 3 : 5 (b) 5 : 3 : 4 (c) 15 : 9 : 20 (d) 15 : 20 : 12

Q20. If the mean of n observations 12 , 22 , 32 , ----------- , n2 is 46n / 11 , then n is equal to

(a) 11 (b) 12 (c) 23 (d) 22

Q21. If the two lines of regression are 2x + y = 7 & x + 2y = 7 , then ρ ( X , Y) is equal to

(a) 1 / 2 (b) – 1 / 2 (c) 1 / 4 (d) none of these

Q22. Mean deviation from the mean for the observation – 1, 0 , 4

(a) 3 (b) 2 / 3 (c) 2 (d) none of these

Q23 The range of the following set of observation 2 , 3 , 5 , 9 , 8 , 7 , 6 , 5 , 7 , 4 , 3 is

(a) 11 (b) 7 (c) 5.5 (d) 6

Q24. If the mean of number 27 , 31 , 89 , 107 , 156 is 82 , then the mean of 130 , 126, 68 , 50 , 1 is

(a) 75 (b) 157 (c) 82 (d) 80

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