maths

1. One half of the student body at Shriram College study French and one -third of
the others study Spanish. The remaining 300 do not study any foreign
language. How many students are there in Shriram College?
a) 360 b) 550 c) 900 d) 1,350 e) 1,800

2. Ms. Sharma owned 5/8 of an interest in a house. She sold 1/5 of her interest, at
cost for Rs.1,000. What was the total value of the house?
a) Rs.3000 b) Rs.4000 c) Rs.5,000
d) Rs.6,000 e) Rs.8,000

3. Of Ashok’s salary, 1/10 is spent for clothing, and 1/3 for food and for rent.
What part of the salary is left for other expenditure and savings?
a) 17/30 b) 3/5 c) 19/30 d) 2/3 e) 7/10

4. A man leaves his estate to his wife and two sons. If the wife receives 1/3 of
the estate and each son receives 1/2 of the remainder, find the value of the
entire estate if each son receives Rs.4,000 as his share.
a) Rs.6,000 b) Rs.12,000 c) Rs.16,000
d) Rs.18,000 e) Rs.24,000

5. In a graduating class with the same number of boys and girls, 1/8 of the girls
and 5/6 of the boys are honor students. What part of the class consists of boys
who are not honor students?
a) 1/12 b) 1/6 c) 7/48 d) 13/48 e) 35/48

6. When the price of an article is reduced by 2/7 of its former value, the number
of articles sold is increased to 21/10 of the original number. The present daily
receipts are what fraction of the former?
a) 3/5 b) 1 1/2 c) 1 2/3 d) 2 2/5 e) 2 1/2

7. A paints 1/4 of a barn, and B paints 1/8 of the remainder. What fraction of the
barn is left unpainted?
a) 1/32 b) 11/32 c) 21/32 d) 29/32 e) 31/32

8. If 2/3 of the workers in a factory go on vacation in July and 1/2 of the
remainder take their vacation in August, what fraction of the workers take
their vacation at other times of the year?
a) 1/4 b) 1/6 c) 1/32 d) 2/5
e) None of these

9. Each year a car depreciates a certain fraction of its value. During the first
year it depreciates 1/3 of its value, during the second year it depreciates 1/4 of
its value, and during the third year it depreciates 1/5 of its value. What
fraction of its original value is the value of a car at the end of the third year?
a) 2/5 b) 3/8 c) 1/5 d) 3/4
e) None of these

10. Mr. A averages 12 television service calls per day and Mr. B averages 16
service calls per day. If Mr. A’s avera ge cha rge is 3/2 as much as that of Mr.
B, who earns Rs.7,200 per year, the annual earnings of Mr. A are
a) Rs.3,600 b) Rs.6,400 c) Rs.7,200
d) Rs.8,100 e) Rs.14,400

11. A man can do a job in 8 days, and his son can do it in 12 days. How long
would it take them to do the job if they worked together?
a) 4.8 b) 5 c) 10 d) 15 e) 20

12. A and B can paint a barn in 3 days. A can do it alone in 5 days. How many
days would it take B to do this job alone?
a) 0.2 b) 3.2 c) 5.0 d) 6.4 e) 7.5

13. A machine can cut some wood in 6 minutes and a man using a hand saw can
do it in 18 minutes. After 4 minutes there is a power shortage and the wood
must be cut by the hand saw. How many minutes must the man work to
complete the task?
a) 2 b) 6 c) 12 d) 14 e) 18

14. Mr. Verma can do a job in 10 days. A helper joins him after 3 days, and
together they work for 4 days to complete the task. How many days would it
take the helper to do the job alone?
a) 3 b) 5 5/7 c) 6 d) 7 e) 13 1/3

15. Three pipes are used to fill a pool with water. One pipe alone can fill the
pool in 9 hours. Another can fill it in 6 hours. The third can fill it in 3 hours.
How many minutes will it take to fi ll this pool if all three pipes are used
simultaneously?
a) 1.63 b) 11 c) 54 d) 56.4 e) 98

16. The secretary of a club can address envelopes for mailing in 40 minutes. Her
younger brother, who could do the entire job alone in 1 hour, assists her.
How long, in minutes, would it take to address the envelopes if both work?
a) 0.04 b) 0.4 c) 8 d) 24 e) 50

17. Mr. Ashok can do a job in 45 minutes, while his son would require 2 hours to
do the work. How long would it take to complete this task if Mr. Ashok was
assisted by his son?
a) 18 min. b) 33 min. c) 35 min. d) 1 hr. 21 min. e) 1 hr. 31 min.

18. Mr. Fast, who works twice as fast as Mr. Slocum receives an hourly rate of
pay 1½ times as much as Mr. Slocum. An efficiency expert calculates that an
article produced by Mr. Fast has a labor cost of Rs.12.
What is the labor cost in rupees of an article produced by Mr. Slocum?
a) 12 b) 15 c) 16 d) 18 e) 20

19. Mr. S works twice as fast as Mr. L and three times as fast as Mr. P. If Mr. P
can complete a job in 12 hours what part of the job can Mr. L do in 6 hours?
a) ¼ b) ½ c) ¾ d) 5/8 e) 7/9

20. In one half the time, A can produce three times as much work as B. B can do
in twice the time 1/3 as much work as C. If C does a job in 1 hour, how many
hours will it take A to do the same job?
a) 1 b) 21 c) 3/2 d) 3 e) ½

21. Snowhite Paint Co. contracts to paint three houses. A can paint a house in 6
days, while B would take 8 days and C would take 12 days. After 8 days, A
goes on vacation and B begins to work for a period of 6 days. How many
days will it take C to complete the contract?
a) 8 b) 9 c) 10 d) 11 e) 12

22. A straight pipe 1 yard in length was marked off in fourths and also in thirds.
If the pipe was then cut into separate pieces at each of these markings, which
of the following gives all the different lengths of the pieces, in fractions of a
yard? (1 yard = 36 inches)
a) 1/6 and 1/4 only b) 1/4 and 1/3 only c) 1/6, 1/4 and 1/3
d) 1/12, 1/6 and 1/4 e) 1/12, 1/6 and 1/3

23. Last year, the annual premium on a certain hospitalization insurance policy
was Rs.408, and the policy paid 80% of any hospital expenses incurred. If the
amount paid by the insurance policy last year was equal to the annual
premium plus the amount of hospital expenses not paid by the policy, what
was the total amount of hospital expenses last year?
a) Rs.850.00 b) Rs.680.00 c) Rs.640.00
d) Rs.510.00 e) Rs.326.40

24. A college basketball team has won 60 percent of its games, with 15 games
remaini ng on the season’s schedule. If the team is to win at least 60 percent
of its scheduled games for the entire season, at most how many, of the
remaining games can the team lose?
a) 6 b) 7 c) 8 d) 9 e) 10

25. For 1979, the average home-heating cost in the central region of Country R
was the same as the average cost for the entire country. For 1980, the average
cost of the central region increased by $260 per home, an increase of 25
percent over 1979. If, for 1980, the average cost for the entire country
increased 22 percent, what was the average increase in cost per home for
Country R?
a) $57.20 b) $65.00 c) $228.80 d) $317.20
e) $325.00