Sample Paper 3
1. In a class composed of x girls and y boys what part of the class is composed of girls
(A). y/(x + y)
(B). x/xy
(C). x/(x + y)
(D). y/xy
2. What is the maximum number of half-pint bottles of cream that can be filled with a 4-gallon can of cream
(2 pt.=1 qt. and 4 qt.=1 gal)
(A). 16
(B). 24
(C). 30
(D). 64
3. If the operation,^ is defined by the equation x ^ y = 2x + y,what is the value of a in 2 ^ a = a ^ 3
(A). 0
(B). 1
(C). -1
(D). 4
4. A coffee shop blends 2 kinds of coffee,putting in 2 parts of a 33p. a gm. grade to 1 part of a 24p. a gm.
If the mixture is changed to 1 part of the 33p. a gm. to 2 parts of the less expensive grade,how much will
the shop save in blending 100 gms.
(A). Rs.90
(B). Rs.1.00
(C). Rs.3.00
(D). Rs.8.00
5. There are 200 questions on a 3 hr examination.Among these questions are 50 mathematics problems.It is
suggested that twice as much time be spent on each maths problem as for each other question.How many minutes should be spent on mathematics problems
(A). 36
(B). 72
(C). 60
(D). 100
6. In a group of 15,7 have studied Latin, 8 have studied Greek, and 3 have not studied either.
How many of these studied both Latin and Greek
(A). 0
(B). 3
(C). 4
(D). 5
7. If 13 = 13w/(1-w) ,then (2w)2 =
(A). 1/4
(B). 1/2
(C). 1
(D). 2
8. If a and b are positive integers and (a-b)/3.5 = 4/7, then
(A) b < a
(B) b > a
(C) b = a
(D) b >= a
9. In june a baseball team that played 60 games had won 30% of its game played.
After a phenomenal winning streak this team raised its average to 50% .How many games
must the team have won in a row to attain this average?
(A). 12
(B). 20
(C). 24
(D). 30
10. M men agree to purchase a gift for Rs. D. If three men drop out how much more will
each have to contribute towards the purchase of the gift?
(A). D/(M-3)
(B). MD/3
(C). M/(D-3)
(D). 3D/(M2-3M)
11. A company contracts to paint 3 houses. Mr.Brown can paint a house in 6 days while Mr.Black would take 8 days and Mr. Blue 12 days. After 8 days Mr.Brown goes on vacation and Mr. Black begins to work for a period of 6 days. How many days will it take Mr.Blue to complete the contract?
(A). 7
(B). 8
(C). 11
(D). 12
12. 2 hours after a freight train leaves Delhi a passenger train leaves the same station travelling
in the same direction at an average speed of 16 km/hr. After travelling 4 hrs the passenger train overtakes the
freight train. The average speed of the freight train was?
(A). 30
(B). 40
(C). 58
(D). 60
13. If 9x-3y=12 and 3x-5y=7 then 6x-2y = ?
(A). -5
(B). 4
(C). 2
(D). 8
14 . How many solid spherical balls each of radius 1 cm can be made out of solid metallic cube of edge 22 cm?
(A). 22
(B). 120
(C). 121
(D). 2541
(E). None of these
15. There are 26 students in a class and one of them who is 14 years old leaves the class and
his place is filled up by a newcomer, if the average age is thereby lowered by one month, what is the age of the newcomer?
(A). 11 years 11 months
(B). 12 years
(C). 13 years 11 months
(D). 16 years
(E). None of these
16. The average divided paid during 7 years by a company is 17.5%.
The dividend paid for the first 6 years were, respectively, 12.5, 15, 18, 12.5 and 18 percent.
What is the dividend for the 7th year?
(A). 17.5%
(B). 18.5%
(C). 26.5%
(D). 25%
(E). None of these
17. The average price of 12 different books is Rs 16 while the average price of 10 of these books is Rs 16.10. Of the remaining two books if the price of one is 50% more than the price of the other. What is the price of these two books?
(A). Rs 13, Rs 19.50
(B). Rs 24, Rs 36.15
(C). Rs 12.40, Rs 18.60
(D). Rs 16.40, Rs 24.60
(E). None of these
18. The average salary per head of all the employees in an institution is Rs 1600. The average salary per head of 40 officers is Rs 2950, the average salary per head of the rest is Rs 600. What is the total number of workers?
(A). 37
(B). 64
(C). 59
(D). 63
(E). None of these
19. The mean temperature from 4th to 11th February, both days inclusive, was 34.60C and from 5th to 12th it was 39.80C; the mean temperature on the 4th was 30.50C, what was it on the 12th?
(A). 37.70C
(B). 43.40C
(C). 72.10C
(D). 73.20C
(E). None of these
20. An aeroplane flies once round a square whose side is 100 km long, taking the first side at 160 km per hour, the second side at 200 km per hour, the third side at 320 km per hour and the fourth side at 400 km per hour.What is the average speed (approximate) of the plane in its flight around the square?
(A). 327 km/h
(B). 237 km/h
(C). 213 km/h
(D). 192 km/h
(E). None of these
21. A batsman finds that by scoring a century in the 11th innings of his test games he has bettered his average of the previous ten innings by 5. What is his average after the 11th innings?
(A). 40
(B). 50
(C). 45
(D). 95
(E). None of these
22. The average of six numbers n1, n2, n3, n4, n5, n6, is while the average of n2, n3 and n4, is 6, n6 is greater than n1 by 2 and n5 is 8. What are the values of n1 and n6?
(A). 6, 8
(B). 5, 7
(C). 7, 9
(D). 11, 13
(E). None of these
23. If 101525 = 33.5, then the value of log (3.25), when rounded to the nearest tenth is
(A). 1.5
(B). 1.6
(C). 0.6
(D). 0.5
(E). None of these
24. What is the percentage error, correct to three places of decimal, if 0.48 is written correct to one
place to decimal?
(A). 0.02
(B). 0.021
(C). 4.166
(D). 4.167
(E). None of these
25. When 0.004284 is approximated to 0.0043 correct to the nearest ten thousandth, significant figures are
(A). 4 and 3
(B). 0.4 and 3
(C). 0.4 and 2
(D). 4.167
(E). None of these
26. If the value of p is taken as 22/7 instead of 3.1416, what percentage error is made?
(A). 0.04%
(B). -0.04%
(C). 0.4%
(D). -0.4%
(E). None of these
27. 6.75924 when rounded to the nearest thousandth becomes
(A). 6.760
(B). 6.7592
(C). 6.759
(D). 6.7593
(E). None of these
28. 90099 when rounded to the nearest thousand becomes
(A). 0099
(B). 9099
(C). 90000
(D). 90100
(e). None of these
29. In six equal groups, 1265 plants are to be arranged. How many plants will be left out of the groups?
(A). 5
(B). 4
(C). 3
(D). 2
(E).None of these
30. Sanjay wants to reach the Railway station at 10.00 am. The station is 10 km away from his house.
If Satish walks at the speed of 4 km/hour at what time shall he start from his home?
(A). 7 am
(B). 7.30 am
(C). 7.45 am
(D) . 8.00 am
(E) None of these
31. Piyush gave one-fourth of his money to Suyash. Suyash in turn gave one—third of what he received,
to Jayesh. If the difference between the amount of Suyash and Jayesh is Rs 100, how much money did Sanjay have?
(A). Rs 450
(B). Rs 600
(C) . Rs 800
(D) . Rs 900
(E). None of these
32. Sixteen men can complete a work in fifteen days. Twenty four children can do the same work in twenty days.In how many days will eight men and eight children together complete the same work?
(A). 16
(B) . 15
(C) . 25
(D). 18
(e). None of these
33. The ratio between the ages of P and Q four years ago was 5:6. If the total of their ages at present is 52 years, what is the ratio of their present ages?
(A). 4:5
(B). 8:9
(C). 7:8
(D). 6:7
(E). None of these
34. If 40 percent of a number is 120, what is 5/6th of that number?
(A). 200
(B). 300
(C). 250
(D). 180
(E). None of these
35. The ratio between two numbers is 11:9. If the sum of these two numbers is 40, what is the product these
two numbers?
(A). 396
(B). 432
(C). 400
(D). 384
(E). None of these
36. The ratio between the length and and the breadth of a rectangular garden is 5:3. If the perimeter
of the garden is 160 meters, what will be the area of a 5 meter wide road around it's outside?
(A). 600 sq.meters
(B). 1,200 sq.meters
(C). 900 sq meters
(D). Data inadequate
(E). None of these
37. Monty bought an article with 30 percent concession on the labelled price. he sold it for Rs 1,820 with
30 percent profit on the labelled price. At what price did he buy the article?
(A). Rs 1,274
(B). Rs 980
(C). Rs 1,456
(D). Rs 1,092
(E). None of these
38. The average age of 25 boys in a class is 16 years. If the age of two teachers are added,
the average increases by one. What is the sum of the ages of these two teachers?
(A). 68 years
(B). 59 years
(C). 49 years
(D). 64 years
(E). None of these
ANSWERS:-
1. (C),2. (D),3. (B),4. (C),5. (B),6. (B),7. (C),8. (A),9. (C),10. (D),11. (C),12. (B),13. (D),
14. (D),15. (A),16. (C),17. (D),18. (B),19. (C),20. (B),21. (C),22. (C),23. (D),24. (D),25.
(A),26. (B),27. (A),28. (C),29. (A),30. (B),31. (D),32. (E),33. (D),34. (C),35. (A),36. (C)
37. (B),38. (B).
1. In a class composed of x girls and y boys what part of the class is composed of girls
(A). y/(x + y)
(B). x/xy
(C). x/(x + y)
(D). y/xy
2. What is the maximum number of half-pint bottles of cream that can be filled with a 4-gallon can of cream
(2 pt.=1 qt. and 4 qt.=1 gal)
(A). 16
(B). 24
(C). 30
(D). 64
3. If the operation,^ is defined by the equation x ^ y = 2x + y,what is the value of a in 2 ^ a = a ^ 3
(A). 0
(B). 1
(C). -1
(D). 4
4. A coffee shop blends 2 kinds of coffee,putting in 2 parts of a 33p. a gm. grade to 1 part of a 24p. a gm.
If the mixture is changed to 1 part of the 33p. a gm. to 2 parts of the less expensive grade,how much will
the shop save in blending 100 gms.
(A). Rs.90
(B). Rs.1.00
(C). Rs.3.00
(D). Rs.8.00
5. There are 200 questions on a 3 hr examination.Among these questions are 50 mathematics problems.It is
suggested that twice as much time be spent on each maths problem as for each other question.How many minutes should be spent on mathematics problems
(A). 36
(B). 72
(C). 60
(D). 100
6. In a group of 15,7 have studied Latin, 8 have studied Greek, and 3 have not studied either.
How many of these studied both Latin and Greek
(A). 0
(B). 3
(C). 4
(D). 5
7. If 13 = 13w/(1-w) ,then (2w)2 =
(A). 1/4
(B). 1/2
(C). 1
(D). 2
8. If a and b are positive integers and (a-b)/3.5 = 4/7, then
(A) b < a
(B) b > a
(C) b = a
(D) b >= a
9. In june a baseball team that played 60 games had won 30% of its game played.
After a phenomenal winning streak this team raised its average to 50% .How many games
must the team have won in a row to attain this average?
(A). 12
(B). 20
(C). 24
(D). 30
10. M men agree to purchase a gift for Rs. D. If three men drop out how much more will
each have to contribute towards the purchase of the gift?
(A). D/(M-3)
(B). MD/3
(C). M/(D-3)
(D). 3D/(M2-3M)
11. A company contracts to paint 3 houses. Mr.Brown can paint a house in 6 days while Mr.Black would take 8 days and Mr. Blue 12 days. After 8 days Mr.Brown goes on vacation and Mr. Black begins to work for a period of 6 days. How many days will it take Mr.Blue to complete the contract?
(A). 7
(B). 8
(C). 11
(D). 12
12. 2 hours after a freight train leaves Delhi a passenger train leaves the same station travelling
in the same direction at an average speed of 16 km/hr. After travelling 4 hrs the passenger train overtakes the
freight train. The average speed of the freight train was?
(A). 30
(B). 40
(C). 58
(D). 60
13. If 9x-3y=12 and 3x-5y=7 then 6x-2y = ?
(A). -5
(B). 4
(C). 2
(D). 8
14 . How many solid spherical balls each of radius 1 cm can be made out of solid metallic cube of edge 22 cm?
(A). 22
(B). 120
(C). 121
(D). 2541
(E). None of these
15. There are 26 students in a class and one of them who is 14 years old leaves the class and
his place is filled up by a newcomer, if the average age is thereby lowered by one month, what is the age of the newcomer?
(A). 11 years 11 months
(B). 12 years
(C). 13 years 11 months
(D). 16 years
(E). None of these
16. The average divided paid during 7 years by a company is 17.5%.
The dividend paid for the first 6 years were, respectively, 12.5, 15, 18, 12.5 and 18 percent.
What is the dividend for the 7th year?
(A). 17.5%
(B). 18.5%
(C). 26.5%
(D). 25%
(E). None of these
17. The average price of 12 different books is Rs 16 while the average price of 10 of these books is Rs 16.10. Of the remaining two books if the price of one is 50% more than the price of the other. What is the price of these two books?
(A). Rs 13, Rs 19.50
(B). Rs 24, Rs 36.15
(C). Rs 12.40, Rs 18.60
(D). Rs 16.40, Rs 24.60
(E). None of these
18. The average salary per head of all the employees in an institution is Rs 1600. The average salary per head of 40 officers is Rs 2950, the average salary per head of the rest is Rs 600. What is the total number of workers?
(A). 37
(B). 64
(C). 59
(D). 63
(E). None of these
19. The mean temperature from 4th to 11th February, both days inclusive, was 34.60C and from 5th to 12th it was 39.80C; the mean temperature on the 4th was 30.50C, what was it on the 12th?
(A). 37.70C
(B). 43.40C
(C). 72.10C
(D). 73.20C
(E). None of these
20. An aeroplane flies once round a square whose side is 100 km long, taking the first side at 160 km per hour, the second side at 200 km per hour, the third side at 320 km per hour and the fourth side at 400 km per hour.What is the average speed (approximate) of the plane in its flight around the square?
(A). 327 km/h
(B). 237 km/h
(C). 213 km/h
(D). 192 km/h
(E). None of these
21. A batsman finds that by scoring a century in the 11th innings of his test games he has bettered his average of the previous ten innings by 5. What is his average after the 11th innings?
(A). 40
(B). 50
(C). 45
(D). 95
(E). None of these
22. The average of six numbers n1, n2, n3, n4, n5, n6, is while the average of n2, n3 and n4, is 6, n6 is greater than n1 by 2 and n5 is 8. What are the values of n1 and n6?
(A). 6, 8
(B). 5, 7
(C). 7, 9
(D). 11, 13
(E). None of these
23. If 101525 = 33.5, then the value of log (3.25), when rounded to the nearest tenth is
(A). 1.5
(B). 1.6
(C). 0.6
(D). 0.5
(E). None of these
24. What is the percentage error, correct to three places of decimal, if 0.48 is written correct to one
place to decimal?
(A). 0.02
(B). 0.021
(C). 4.166
(D). 4.167
(E). None of these
25. When 0.004284 is approximated to 0.0043 correct to the nearest ten thousandth, significant figures are
(A). 4 and 3
(B). 0.4 and 3
(C). 0.4 and 2
(D). 4.167
(E). None of these
26. If the value of p is taken as 22/7 instead of 3.1416, what percentage error is made?
(A). 0.04%
(B). -0.04%
(C). 0.4%
(D). -0.4%
(E). None of these
27. 6.75924 when rounded to the nearest thousandth becomes
(A). 6.760
(B). 6.7592
(C). 6.759
(D). 6.7593
(E). None of these
28. 90099 when rounded to the nearest thousand becomes
(A). 0099
(B). 9099
(C). 90000
(D). 90100
(e). None of these
29. In six equal groups, 1265 plants are to be arranged. How many plants will be left out of the groups?
(A). 5
(B). 4
(C). 3
(D). 2
(E).None of these
30. Sanjay wants to reach the Railway station at 10.00 am. The station is 10 km away from his house.
If Satish walks at the speed of 4 km/hour at what time shall he start from his home?
(A). 7 am
(B). 7.30 am
(C). 7.45 am
(D) . 8.00 am
(E) None of these
31. Piyush gave one-fourth of his money to Suyash. Suyash in turn gave one—third of what he received,
to Jayesh. If the difference between the amount of Suyash and Jayesh is Rs 100, how much money did Sanjay have?
(A). Rs 450
(B). Rs 600
(C) . Rs 800
(D) . Rs 900
(E). None of these
32. Sixteen men can complete a work in fifteen days. Twenty four children can do the same work in twenty days.In how many days will eight men and eight children together complete the same work?
(A). 16
(B) . 15
(C) . 25
(D). 18
(e). None of these
33. The ratio between the ages of P and Q four years ago was 5:6. If the total of their ages at present is 52 years, what is the ratio of their present ages?
(A). 4:5
(B). 8:9
(C). 7:8
(D). 6:7
(E). None of these
34. If 40 percent of a number is 120, what is 5/6th of that number?
(A). 200
(B). 300
(C). 250
(D). 180
(E). None of these
35. The ratio between two numbers is 11:9. If the sum of these two numbers is 40, what is the product these
two numbers?
(A). 396
(B). 432
(C). 400
(D). 384
(E). None of these
36. The ratio between the length and and the breadth of a rectangular garden is 5:3. If the perimeter
of the garden is 160 meters, what will be the area of a 5 meter wide road around it's outside?
(A). 600 sq.meters
(B). 1,200 sq.meters
(C). 900 sq meters
(D). Data inadequate
(E). None of these
37. Monty bought an article with 30 percent concession on the labelled price. he sold it for Rs 1,820 with
30 percent profit on the labelled price. At what price did he buy the article?
(A). Rs 1,274
(B). Rs 980
(C). Rs 1,456
(D). Rs 1,092
(E). None of these
38. The average age of 25 boys in a class is 16 years. If the age of two teachers are added,
the average increases by one. What is the sum of the ages of these two teachers?
(A). 68 years
(B). 59 years
(C). 49 years
(D). 64 years
(E). None of these
ANSWERS:-
1. (C),2. (D),3. (B),4. (C),5. (B),6. (B),7. (C),8. (A),9. (C),10. (D),11. (C),12. (B),13. (D),
14. (D),15. (A),16. (C),17. (D),18. (B),19. (C),20. (B),21. (C),22. (C),23. (D),24. (D),25.
(A),26. (B),27. (A),28. (C),29. (A),30. (B),31. (D),32. (E),33. (D),34. (C),35. (A),36. (C)
37. (B),38. (B).
