26. A school supply store sells only one kind of desk and one kind of chair, at a
uniform cost per desk or per chair. If the total cost of 3 desks and 1 chair is
twice that of 1 desk and 3 chairs, then the total cost of 4 desks and 1 chair is
how many times that of 1 desk and 4 chairs?
a) 5 b) 3 c) 8/3 d) 5/2 e) 7/3
27. Cars X and Y were travelling together on a straight road at a constant speed
of 55 miles per hour when car X stopped for 5 minutes. If car Y continued to
travel at 55 miles per hour, how many minutes from the time that car X
resumed travelling did it take car X traveling at 60 miles per hour to catch up
with car Y? (Assume that the time for car X to slow down and speed up was
negligible).
a) 5 b) 30 c) 45 d) 55 e) 60
28. The shaded portion of the rectangular lot shown alongside represents a flower
bed. If the area of the bed is 24 square yards and x = y + 2, then z equals
a) 13 b) 213 c) 6
d) 8 e) 10
29. In Township K, 1/5 of the housing units are equipped with cable television. If
1/10 of the housing units, including 1/3 of those that are equipped with cable
television are equipped with videocassette recorders, what fraction of the
housing units has neither cable television nor videocassette recorders?
a) 23/30 b) 11/15 c) 7/10 d) 1/6 e) 2/15
30. In a certain community, 39,285 more apartments were converted to
condominiums and sold in 1981 than in 1980. If this was a 30 percent
increase, how many apartments were converted and sold in 1981?
a) 11, 786 b) 51, 070 c) 91, 665 d) 130, 950
e) 170, 235
31. A tank containing 50.6 gallons of water is emptied at a constant rate du ring a
single day beginning at 8.00 a.m. At 10.00 a.m. there are 27.5 gallons
remaining. How many gallons were in the tank at 9.20 a.m.?
a) 12.1 b) 13.90 c) 27.1 d) 32.3 e) 35.2
32. The opening price of a certain stock that opened at Rs.20 per share o n January
2, 2005, increased at a rate between 9.8 percent and 10.2 percent per year
each year for the next 4 years. Which of the following could have been the
opening price, in Rs. per share, of this stock on January 2, 2009?
a) 22 b) 24 ¼ c) 26 5/8 d) 29 ¼ e) 30
33. In a company of 1,700 employees, the daily absence during a flu epidemic
ranged from 13 percent to 42 percent. The difference between the greatest and
the least number of employees present during the epidemic was what
percentage of the number of employees of the company?
a) 13% b) 29% c) 33% d) 45% e) 71%
34. A certain savings bank pays interest at an annual rate of 6 percent,
compounded semiannually. To the nearest 10 paise, how much interest will
this bank pay on Rs.300 for one year?
a) Rs.37.10 b) Rs.37.00 c) Rs.18.40 d) Rs.18.30
e) Rs.18.20
35. One-fourth of a solution that was 10 percent sugar by weight was replaced by
a second solution, resulting in a solution that was 16 percent sugar by weight.
The second solution was what percent sugar by weight?
a) 34% b) 24% c) 22% d) 18% e) 8.5%
36. A, L and K pooled funds to buy a gift for a friend. A contributed Rs.2 less
than 1/3 of the cost of the gift and L contributed Rs.2 more than ¼ of the cost.
If K contributed the remaining Rs.15, what was the cost of the gift?
a) Rs.24 b) Rs.33 c) Rs.36 d) Rs.43 e) Rs.45
37. A bus trip of 450 miles would have taken 1 hour less if the average speed S
for the trip had been greater by 5 miles per hour. What was the average speed
S, in miles per hour, for the trip?
a) 10 b) 40 c) 45 d) 50 e) 55
38. M and N are positive integers that have remainders of 1 and 3, respectively,
when divided by 6. Which of the following could NOT be a possible value of
M + N?
a) 86 b) 52 c) 34 d) 28 e) 10
39. Machines A, B and C working together, but independently, at their respective
constant rates can do a certain job in 1 ½ hours. If A alone can do the job in
5 hours, and B alone can do the job in 3 hours, in how many hours can C
alone do the job?
a) 1 1/5 b) 2 1/7 c) 3 d) 5 e) 7 ½
40. If R = 1 + 1/3 + 1/9 + 1/27 and S = 1 + R/3, then S exceeds R by
a) 1/3 b) 1/6 c) 1/9 d) 1/27 e) 1/81
41. One-fifth of the light switches produced by a certain factory are defective.
Four-fifths of the defective switches are rejected and 1/20 of the non-defective
switches are rejected by mistake. If all the switches not rejected are sold,
what percent of the switches sold by the factory are defective?
a) 4% b) 5% c) 6.25% d) 11% e) 16%
42. If an organi zation were to sell ‘n’ tickets for a theater production, the total
revenue from ticket sales would be 20 percent greater than the total cost of
production. If the or ganization actually sold all but 5 percent of the ‘n’
tickets, the total revenue from tickets sales was what percent greater than the
total cost of production?
a) 4% b) 10% c) 14% d) 15% e) 18%
43. Part of Rs.40,000 was invested at 8 percent per annum and the remaining part
at 9.5 percent per annum. If the total annual income from th ese two
investments was Rs.3,425, how much was invested at 8 percent?
a) Rs.31,250 b) Rs.25,000 c) Rs.15,000
d) Rs.8,750 e) Rs.1,500
44. Water runs into a pool at the rate of 1 kiloliter every 5 seconds and
simultaneously runs out at the rate of 1 ki loliter every 14 seconds. The pool
filling at a rate of 1 kiloliter every
a) 6 seconds b) 7 5/7 seconds c) 7 7/9 seconds
d) 9 seconds e) 19 seconds
45. On a certain tour, half of the men are married, and the wives of 9/10 of them
are also on the tour. If there are 3 more women on the tour than men, what is
the least possible number of people who could be on the tour?
a) 19 b) 22 c) 23 d) 43 e) 52
46. Three businessmen wish to invest in a new company. Each man is willing to
pay one-third of the total investment. After careful calculations, they realize
that each of them would pay Rs.7,200 less if they could find two more equal
investors. How much is the total investment in the new business?
a) Rs.64,000 b) Rs.54,000 c) Rs.21,600
d) Rs.5,400 e) cannot be determined
47. Machine A can do a certain job in 8 hours. Machine B can do the same job in
10 hours. Machine C can do the same job in 12 hours. All three machines
start the job at 9.00 a.m. Machine A breaks down at 11.00 a.m. and the oth er
two machines finish the job. Approximately, at what time will the job be
finished?
a) 12.00 noon b) 12.30 p.m. c) 1.00 p.m.
d) 1.30 p.m. e) 2.00 p.m.
48. A bar of gold with dimensions 12 inches by 18 inches by 15 inches is melted
down and reformed into a bar of different dimensions. All of the following
are possible dimensions of the new gold bar EXCEPT:
a) 10 inches by 15 inches by 22 inches
b) 12 inches by 10 inches by 27 inches
c) 6 inches by 18 inches by 30 inches
d) 24 inches by 27 inches by 5 inches
e) 9 inches by 24 inches by 15 inches
49. A milliner bought a job of hats, ¼ of which were brown. The milliner sold 2/3
of the hats including 4/5 of the brown hats. What fraction of the unsold hats
were brown?
a) 1/60 b) 2/15 c) 3/20 d) 3/5 e) 3/4
50. In ABC, AB = 6, BC = 4 and AC = 3. What kind of a triangle is it?
a) right and scalene b) obtuse and scalene c) acute and scalene
d) right and isosceles e) obtuse and isosceles
Answers To Practice Examples
No. Ans. No. Ans. No. Ans. No. Ans. No. Ans.
1 c 11 a 21 d 31 e 41 b
2 e 12 e 22 d 32 d 42 c
3 a 13 b 23 b 33 b 43 c
4 b 14 e 24 a 34 d 44 c
5 a 15 e 25 c 35 a 45 d
6 b 16 d 26 e 36 c 46 b
7 c 17 b 27 d 37 c 47 c
8 b 18 c 28 e 38 a 48 a
9 a 19 c 29 a 39 e 49 c
10 d 20 a 30 e 40 e 50 b
SOLUTIONS TO PRACTICE EXAMPLES
uniform cost per desk or per chair. If the total cost of 3 desks and 1 chair is
twice that of 1 desk and 3 chairs, then the total cost of 4 desks and 1 chair is
how many times that of 1 desk and 4 chairs?
a) 5 b) 3 c) 8/3 d) 5/2 e) 7/3
27. Cars X and Y were travelling together on a straight road at a constant speed
of 55 miles per hour when car X stopped for 5 minutes. If car Y continued to
travel at 55 miles per hour, how many minutes from the time that car X
resumed travelling did it take car X traveling at 60 miles per hour to catch up
with car Y? (Assume that the time for car X to slow down and speed up was
negligible).
a) 5 b) 30 c) 45 d) 55 e) 60
28. The shaded portion of the rectangular lot shown alongside represents a flower
bed. If the area of the bed is 24 square yards and x = y + 2, then z equals
a) 13 b) 213 c) 6
d) 8 e) 10
29. In Township K, 1/5 of the housing units are equipped with cable television. If
1/10 of the housing units, including 1/3 of those that are equipped with cable
television are equipped with videocassette recorders, what fraction of the
housing units has neither cable television nor videocassette recorders?
a) 23/30 b) 11/15 c) 7/10 d) 1/6 e) 2/15
30. In a certain community, 39,285 more apartments were converted to
condominiums and sold in 1981 than in 1980. If this was a 30 percent
increase, how many apartments were converted and sold in 1981?
a) 11, 786 b) 51, 070 c) 91, 665 d) 130, 950
e) 170, 235
31. A tank containing 50.6 gallons of water is emptied at a constant rate du ring a
single day beginning at 8.00 a.m. At 10.00 a.m. there are 27.5 gallons
remaining. How many gallons were in the tank at 9.20 a.m.?
a) 12.1 b) 13.90 c) 27.1 d) 32.3 e) 35.2
32. The opening price of a certain stock that opened at Rs.20 per share o n January
2, 2005, increased at a rate between 9.8 percent and 10.2 percent per year
each year for the next 4 years. Which of the following could have been the
opening price, in Rs. per share, of this stock on January 2, 2009?
a) 22 b) 24 ¼ c) 26 5/8 d) 29 ¼ e) 30
33. In a company of 1,700 employees, the daily absence during a flu epidemic
ranged from 13 percent to 42 percent. The difference between the greatest and
the least number of employees present during the epidemic was what
percentage of the number of employees of the company?
a) 13% b) 29% c) 33% d) 45% e) 71%
34. A certain savings bank pays interest at an annual rate of 6 percent,
compounded semiannually. To the nearest 10 paise, how much interest will
this bank pay on Rs.300 for one year?
a) Rs.37.10 b) Rs.37.00 c) Rs.18.40 d) Rs.18.30
e) Rs.18.20
35. One-fourth of a solution that was 10 percent sugar by weight was replaced by
a second solution, resulting in a solution that was 16 percent sugar by weight.
The second solution was what percent sugar by weight?
a) 34% b) 24% c) 22% d) 18% e) 8.5%
36. A, L and K pooled funds to buy a gift for a friend. A contributed Rs.2 less
than 1/3 of the cost of the gift and L contributed Rs.2 more than ¼ of the cost.
If K contributed the remaining Rs.15, what was the cost of the gift?
a) Rs.24 b) Rs.33 c) Rs.36 d) Rs.43 e) Rs.45
37. A bus trip of 450 miles would have taken 1 hour less if the average speed S
for the trip had been greater by 5 miles per hour. What was the average speed
S, in miles per hour, for the trip?
a) 10 b) 40 c) 45 d) 50 e) 55
38. M and N are positive integers that have remainders of 1 and 3, respectively,
when divided by 6. Which of the following could NOT be a possible value of
M + N?
a) 86 b) 52 c) 34 d) 28 e) 10
39. Machines A, B and C working together, but independently, at their respective
constant rates can do a certain job in 1 ½ hours. If A alone can do the job in
5 hours, and B alone can do the job in 3 hours, in how many hours can C
alone do the job?
a) 1 1/5 b) 2 1/7 c) 3 d) 5 e) 7 ½
40. If R = 1 + 1/3 + 1/9 + 1/27 and S = 1 + R/3, then S exceeds R by
a) 1/3 b) 1/6 c) 1/9 d) 1/27 e) 1/81
41. One-fifth of the light switches produced by a certain factory are defective.
Four-fifths of the defective switches are rejected and 1/20 of the non-defective
switches are rejected by mistake. If all the switches not rejected are sold,
what percent of the switches sold by the factory are defective?
a) 4% b) 5% c) 6.25% d) 11% e) 16%
42. If an organi zation were to sell ‘n’ tickets for a theater production, the total
revenue from ticket sales would be 20 percent greater than the total cost of
production. If the or ganization actually sold all but 5 percent of the ‘n’
tickets, the total revenue from tickets sales was what percent greater than the
total cost of production?
a) 4% b) 10% c) 14% d) 15% e) 18%
43. Part of Rs.40,000 was invested at 8 percent per annum and the remaining part
at 9.5 percent per annum. If the total annual income from th ese two
investments was Rs.3,425, how much was invested at 8 percent?
a) Rs.31,250 b) Rs.25,000 c) Rs.15,000
d) Rs.8,750 e) Rs.1,500
44. Water runs into a pool at the rate of 1 kiloliter every 5 seconds and
simultaneously runs out at the rate of 1 ki loliter every 14 seconds. The pool
filling at a rate of 1 kiloliter every
a) 6 seconds b) 7 5/7 seconds c) 7 7/9 seconds
d) 9 seconds e) 19 seconds
45. On a certain tour, half of the men are married, and the wives of 9/10 of them
are also on the tour. If there are 3 more women on the tour than men, what is
the least possible number of people who could be on the tour?
a) 19 b) 22 c) 23 d) 43 e) 52
46. Three businessmen wish to invest in a new company. Each man is willing to
pay one-third of the total investment. After careful calculations, they realize
that each of them would pay Rs.7,200 less if they could find two more equal
investors. How much is the total investment in the new business?
a) Rs.64,000 b) Rs.54,000 c) Rs.21,600
d) Rs.5,400 e) cannot be determined
47. Machine A can do a certain job in 8 hours. Machine B can do the same job in
10 hours. Machine C can do the same job in 12 hours. All three machines
start the job at 9.00 a.m. Machine A breaks down at 11.00 a.m. and the oth er
two machines finish the job. Approximately, at what time will the job be
finished?
a) 12.00 noon b) 12.30 p.m. c) 1.00 p.m.
d) 1.30 p.m. e) 2.00 p.m.
48. A bar of gold with dimensions 12 inches by 18 inches by 15 inches is melted
down and reformed into a bar of different dimensions. All of the following
are possible dimensions of the new gold bar EXCEPT:
a) 10 inches by 15 inches by 22 inches
b) 12 inches by 10 inches by 27 inches
c) 6 inches by 18 inches by 30 inches
d) 24 inches by 27 inches by 5 inches
e) 9 inches by 24 inches by 15 inches
49. A milliner bought a job of hats, ¼ of which were brown. The milliner sold 2/3
of the hats including 4/5 of the brown hats. What fraction of the unsold hats
were brown?
a) 1/60 b) 2/15 c) 3/20 d) 3/5 e) 3/4
50. In ABC, AB = 6, BC = 4 and AC = 3. What kind of a triangle is it?
a) right and scalene b) obtuse and scalene c) acute and scalene
d) right and isosceles e) obtuse and isosceles
Answers To Practice Examples
No. Ans. No. Ans. No. Ans. No. Ans. No. Ans.
1 c 11 a 21 d 31 e 41 b
2 e 12 e 22 d 32 d 42 c
3 a 13 b 23 b 33 b 43 c
4 b 14 e 24 a 34 d 44 c
5 a 15 e 25 c 35 a 45 d
6 b 16 d 26 e 36 c 46 b
7 c 17 b 27 d 37 c 47 c
8 b 18 c 28 e 38 a 48 a
9 a 19 c 29 a 39 e 49 c
10 d 20 a 30 e 40 e 50 b
SOLUTIONS TO PRACTICE EXAMPLES
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