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Test Tips for GRE,NAT,NTS,GAT



Test Tips for GRE,NAT,NTS,GAT

The Graduate Record Examination (GRE) is designed to measure the verbal reasoning, quantitative reasoning, critical thinking, and analytical writing skills of individuals who seek to enter graduate school. The administrator of the GRE test, the Educational Testing Service, notes that the skills being measured are those that should have been acquired over the course of the candidate's entire education, and are not tied directly to any particular discipline. In the verbal reasoning section, the candidate will be required to consider and judge written passages; consider the relationships between the constituent parts of a sentence; and analyze the relationships between words and concepts. GRE test vocabulary is typically at a level appropriate to individuals who have graduated from a four-year college. This section of the GRE test consists of 30 questions which must be answered within 30 minutes. In the quantitative reasoning section, the GRE exam measures the candidate's ability to solve problems in arithmetic, geometry, algebra, and data analysis. This section of the GRE test will also require the test-taker to solve problems in a quantitative setting. GRE test study guides often suggest going back over some high school and college-level math problems in order to refresh understanding of these concepts. GRE test math should be simple enough for any individual who has passed Algebra III and Geometry. This section of the exam consists of 28 questions which must be answered within 45 minutes. The analytical writing section of the exam will measure the candidate's ability to articulate complex ideas in a clear and effective manner; judge rival claims and consider opposing sets of evidence; support ideas with pertinent reasoning and examples; and demonstrate mastery over the basic elements of written English. This section consists of one issue task, which must be completed within 45 minutes, and one argument task, which must be completed within 30 minutes. On the issue task, the candidate will be allowed to choose one of two topics; on the argument task, he or she will have to address the one topic that is given. As you continue your practice for the GRE test, it is valuable to remember the content and format of the exam so as to keep yourself focused and make your GRE test study efforts as effective as possible.


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Practice Questions for NTS,GRE,NAT,GAT



Practice Questions for NTS,GRE,NAT,GAT

1. How long will Lucy have to wait before for her $2,500 invested at 6% earns $600 in simple interest?
A. 2 years
B. 3 years
C. 4 years
D. 5 years
E. 6 years
2. Grace has 16 jellybeans in her pocket. She has 8 red ones, 4 green ones, and 4 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color?
A. 4
B. 8
C. 12
D. 13
E. 16
3. If r = 5 z then 15 z = 3 y, then r =
A. y
B. 2 y
C. 5 y
D. 10 y
E. 15 y
4. What is 35% of a number if 12 is 15% of a number?
A. 5
B. 12
C. 28
D. 33
E. 62
5. A computer is on sale for $1600, which is a 20% discount off the regular price. What is the regular price?
A. $1800
B. $1900
C. $2000
D. $2100
E. $2200
6. A car dealer sells a SUV for $39,000, which represents a 25% profit over the cost. What was the cost of the SUV to the dealer?
A. $29,250
B. $31,200
C. $32,500
D. $33,800
E. $33,999
7. After having to pay increased income taxes this year, Edmond has to sell his BMW. Edmond bought the car for $49,000, but he sold it for a 20% loss. What did Edmond sell the car for?
A. $24,200
B. $28,900
C. $35,600
D. $37,300
E. $39,200
8. If Sam can do a job in 4 days that Lisa can do in 6 days and Tom can do in 2 days, how long would the job take if Sam, Lisa, and Tom worked together to complete it?
A. 0.8 days
B. 1.09 days
C. 1.23 days
D. 1.65 days
E. 1.97 days
9. Find 0.12 ÷12
A. 100
B. 10
C. 1
D. 0.01
E. 0.001
10. Divide x5 by x2
A. x25
B. x10
C. x7
D. x3
E. x2.5
11. Which of the following numbers could be described in the following way: an integer that is a natural, rational and whole number?
A. 0
B. 1
C. 2.33
D. -3
E. none of the above
12. Find the mode of the following list of numbers: 2, 4, 6, 4, 8, 2, 9, 4, 3, 8
A. 2
B. 3
C. 4
D. 5
E. 6
13. In the fraction 3/x, x may not be substituted by which of the following sets?
A. {1, 2, 4}
B. {-2,-3,-4}
C. {1, 3, 7}
D. {0, 10, 20}
E. {1.8, 4.3}
14. Sarah needs to make a cake and some cookies. The cake requires 3/8 cup of sugar and the cookies require 3/5 cup of sugar. Sarah has 15/16 cups of sugar. Does she have enough sugar, or how much more does she need?
A. She has enough sugar.
B. She needs 1/8 of a cup of sugar.
C. She needs 3/80 of a cup of sugar.
D. She needs 4/19 of a cup of sugar.
E. She needs 1/9 of a cup of sugar.
15. At a company fish fry, 1/2 in attendance are employees. Employees' spouses are 1/3 of the attendance. What is the percentage of the people in attendance who are not employees or employee spouses?
A. 10.5%
B. 16.7%
C. 25%
D. 32.3%
E. 38%
16. In a college, some courses contribute more towards an overall GPA than other courses. For example, a science class is worth 4 points; mathematics is worth 3 points; History is worth 2 points; and English is worth 3 points. The values of the grade letters are as follows, A= 4, B=3, C=2, D=1, F=0. What is the GPA of a student who made a “C” in Trigonometry, a “B” in American History, an “A” in Botany, and a “B” in Microbiology?
A. 2.59
B. 2.86
C. 3.08
D. 3.33
E. 3.67
17. There are 8 ounces in a ½ pound. How many ounces are in 7 3/4 lbs?
A. 12 ounces
B. 86 ounces
C. 119 ounces
D. 124 ounces
E. 138 ounces
18. If the value of x and y in the fraction XZ/Y are both tripled, how does the value of the fraction change?
A. increases by half
B. decreases by half
C. triples
D. doubles
E. remains the same
19. What is the next number in the following pattern? 1, 1/2, 1/4, 1/8, ___
A. 1/10
B. 1/12
C. 1/14
D. 1/15
E. 1/16
20. Of the following units which would be more likely used to measure the amount of water in a bathtub?
A. kilograms
B. liters
C. milliliters
D. centigrams
E. volts
21. If a match box is 0.17 feet long, what is its length in inches the most closely comparable to the following?
A. 5 1/16 inch highlighter
B. 3 1/8 inch jewelry box
C. 2 3/4 inch lipstick
D. 2 3/16 inch staple remover
E. 4 1/2 inch calculator
22. Which of the following fractions is the equivalent of 0.5%?
A. 1/20
B. 1/200
C. 1/2000
D. 1/5
E. 1/500
23. In the graph below, no axes or origin is shown. If point B's coordinates are (10,3), which of the following coordinates would most likely be A's?
A. (17, -2)
B. (10, 6)
C. (6, 8)
D. (-10, 3)
E. (-2, -17)
24. Over the course of a week, Fred spent $28.49 on lunch. What was the average cost per day?
A. $4.07
B. $3.57
C. $6.51
D. $2.93
E. $5.41
25. Of the following units, which would be most likely to measure the amount of sugar needed in a recipe for 2 dozen cookies?
A. degrees Celsius
B. milliliters
C. quarts
D. kilograms
E. cups
26. Jim has 5 pieces of string. He needs to choose the piece that will be able to go around his 36-inch waist. His belt broke, and his pants are falling down. The piece needs to be at least 4 inches longer than his waist so he can tie a knot in it, but it cannot be more that 6 inches longer so that the ends will not show from under his shirt. Which of the following pieces of string will work the best?
A. 3 4/5 feet
B. 3 2/3 feet
C. 3 3/8 feet
D. 3 1/4 feet
E. 2 1/2 feet
27. After purchasing a flat screen television for $750, John realizes that he got a great deal on it and wishes to sell it for a 15% profit. What should his asking price be for the television?
A. $800.30
B. $833.60
C. $842.35
D. $862.50
E. $970.25
28. If 300 jellybeans cost you x dollars. How many jellybeans can you purchase for 50 cents at the same rate?
A. 150/x
B. 150x
C. 6x
D. x/6
E. 1500x
29. If 6 is 24% of a number, what is 40% of the same number?
A. 8
B. 10
C. 15
D. 20
E. 25
30. Lee worked 22 hours this week and made $132. If she works 15 hours next week at the same pay rate, how much will she make?
A. $57
B. $90
C. $104
D. $112
E. $122
31. The last week of a month a car dealership sold 12 cars. A new sales promotion came out the first week of the next month and the sold 19 cars that week. What was the percent increase in sales from the last week of the previous month compared to the first week of the next month?
A. 58%
B. 119%
C. 158%
D. 175%
E. 200%
32. If 8x + 5x + 2x + 4x = 114, the 5x + 3 =
A. 12
B. 25
C. 33
D. 47
E. 86
33. If two planes leave the same airport at 1:00 PM, how many miles apart will they be at 3:00 PM if one travels directly north at 150 mph and the other travels directly west at 200 mph?
A. 50 miles
B. 100 miles
C. 500 miles
D. 700 miles
E. 1,000 miles
34. What is the cost in dollars to steam clean a room W yards wide and L yards long it the steam cleaners charge 10 cents per square foot?
A. 0.9WL
B. 0.3WL
C. 0.1WL
D. 9WL
E. 3WL
35. Find 8.23 x 109
A. 0.00000000823
B. 0.000000823
C. 8.23
D. 8230000000
E. 823000000000
36. During a 5-day festival, the number of visitors tripled each day. If the festival opened on a Thursday with 345 visitors, what was the attendance on that Sunday?
A. 345
B. 1,035
C. 1,725
D. 3,105
E. 9,315
37. Which of the following has the least value?
A. 0.27
B. 1/4
C. 3/8
D. 2/11
E. 11%
38. How many boys attended the 1995 convention?
A. 358
B. 390
C. 407
D. 540
E. 716
39. Which year did the same number of boys and girls attend the conference?
A. 1995
B. 1996
C. 1997
D. 1998
E. None
40. Which two years did the least number of boys attend the convention?
A. 1995 and 1996
B. 1995 and 1998
C. 1996 and 1997
D. 1997 and 1994
E. 1997 and 1998
Answer Key
1. C
2. D
3. A
4. C
5. C
6. B
7. E
8. B
9. D
10. D
11. B
12. C
13. D
14. C
15. B
16. C
17. D
18. E
19. E
20. B
21. D
22. B
23. C
24. A
25. E
26. C
27. D
28. A
29. B
30. B
31. A
32. C
33. C
34. A
35. D
36. E
37. E
38. A
39. A
40. A



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Practice Questions for NTS,NAT,GAT,GRE



Practice Questions for NTS,NAT,GAT,GRE

1. Two angles of a triangle each measure 70°. What is the measure of the third angle in degrees?
A. 40°
B. 80°
C. 100°
D. 120°
E. 140°
2. If Jack needs 2 ½ pints of cream to make a dessert. How many pints will he need to make 3 desserts?
A. 2 ½
B. 3
C. 4
D. 5
E. 7 ½
3. A discount store takes 50% off of the retail price of a desk. For the store's holiday sale, it takes an additional 20% off of all furniture. The desk's retail price was $320. How much is the desk on sale for during the holiday sale?
A. $107
B. $114
C. $128
D. $136
E. $192
4. Which vacation destination is most common for the students?
A. Beach
B. Historical Sites
C. Cruises
D. Mountains
E. Other
5. If 500 students attend Washington Middle School, how many are going to the mountains for vacation?
A. 25
B. 60
C. 75
D. 100
E. 125
6. If a ¼ of a teaspoon is 1 ml, then how many milliliters are in 6 teaspoons?
A. 10 ml
B. 12.5 ml
C. 15 ml
D. 20 ml
E. 24 ml
7. Which of the following is the correct graph for x≥3 or x≤ -2?
A. Line A
B. Line B
C. Line C
D. Line D
E. Line E
8. A scale on a map states that every ¼ of an inch represents 20 miles. If two cities are 3 ½ inches apart, how many miles are actually between the two cities?
A. 14 miles
B. 20 miles
C. 125 miles
D. 230 miles
E. 280 miles
9. Michelle wants to expand her flowerbed by increasing the length and width each by 2 ft. What will the new area of the flowerbed be, if L and W represent the original dimensions of the flowerbed's length and width?
A. 2 LW
B. 2 (L+W)
C. 2L +2W
D. (L+2) (W+2)
E. LW/2
10. Melinda's lights went out. She has 3 pairs of red socks in her drawer, 2 pairs of black socks, and 5 pairs of white socks. What is the minimum number of pairs she must remove from the drawer to ensure that she has a pair of each color?
A. 3
B. 5
C. 7
D. 9
E. 10
11. Which of the following fractions are correctly placed from the least in value to the greatest in value?
A. 1/4, 17/25, 3/4, 11/16
B. 17/25, 1/4, 11/16, 3/4
C. 1/4, 17/25, 11/16, 3/4
D. 1/4, 17/25, 3/4, 11/16
E. 3/4, 17/25, 11/16, 1/4
12. What is the mathematical average of the number of days in a typical year, the number of days in a week, and the number of hours in a day?
A. 100
B. 115
C. 132
D. 158
E. 224
13. 1.75 x 105=
A. 175,000
B. 17,500
C. 1,750
D. 0.00175
E. 0.000175
14. The electric company charges 3 cents per kilowatt-hour. George used 2800 kilowatt-hours in April, 3200 kilowatt-hours in May, and 3600 kilowatt-hours in June. What was his average cost of electricity for the 3 months?
A. $72
B. $88
C. $96
D. $102
E. $113
15. On a map, 1/3 inch equals 15 miles. The distance between two towns on a map is 3 2/3 inches. How many miles are actually between the two towns?
A. 11
B. 16
C. 88
D. 132
E. 165
16. James invested $4,000 at 5% interest per year; how long will it take him to earn $200 in simple interest?
A. 1 year
B. 2 years
C. 3 years
D. 4 years
E. 5 years
17. John pays $650 in property tax. What is the assessed value of his property if property taxes are 1.2% of assessed value?
A. $28,800.27
B. $41,328.90
C. $43,768.99
D. $54,166.67
E. $64,333.39
18. A lamp is marked with a sale price of $23.80, which is 15% off of the regular price. What is the regular price?
A. $26
B. $28
C. $30
D. $32
E. $43
19. A mattress store sells their stock for 15% off of retail. If someone pays cash, they take an additional 10% off of the discounted price. If a mattress's retail price is $750, what is the price after the store discount and the cash discount?
A. $550.75
B. $562.50
C. $573.75
D. $637.50
E. $675.00
20. 85% of what number is 136?
A. 160
B. 170
C. 180
D. 190
E. 220
21. A building that is 150 ft tall casts a shadow of 20 feet long. At the same time a tree casts a shadow of 2 ft. How tall is the tree?
A. 10
B. 15
C. 20
D. 25
E. 30
22. Which of the following is a true statement?
A. The product of two negative numbers is negative.
B. The product of one negative and one positive number is positive.
C. When dividing a positive number by a negative number, the results are negative.
D. When dividing a negative number by a positive number, the results are positive.
E. When dividing a negative number by a negative number the results are negative.
23. What is the fractional equivalent of 12.5%?
A. 1/4
B. 2/9
C. 1/5
D. 1/8
E. 2/7
24. Change 4 3/5 to an improper fraction.
A. 23/5
B. 7/5
C. 12/20
D. 20/12
E. 12/5
25. The fine for a driver riding in the carpool lane without any passengers is $133. A driver is issued a bench warrant for $2,294.25, which includes a 15% fee for late charges and court costs. How many tickets has the driver not paid?
A. 10
B. 12
C. 13
D. 14
E. 15
26. Brett started a race at 6:30 A.M., and he did not cross the finish line until 1:05 P.M. How long did it take for Brett to finish the race?
A. 6 hours and 15 minutes
B. 6 hours and 35 minutes
C. 7 hours and 5 minutes
D. 7 hours and 15 minutes
E. 7 hours and 35 minutes
27. What is the fraction equivalent of the shaded region in the following circle?
A. 2/3
B. 3/8
C. 4/5
D. 3/4
E. 7/16
28. Multiply 2.345 x 0.023
A. 0.53935
B. 0.053935
C. 0.0053935
D. 10.195652
E. 101.95652
29. A men's basketball team won 24 games and lost 32. What is the ratio of games lost to the number of games played?
A. 32:24
B. 4:3
C. 3:4
D. 4:7
E. 3:7
30. Which of the following choices is equivalent to 5/6?
A. 5/12
B. 10/6
C. 20/30
D. 15/24
E. 15/18
31. Jill earns $120 for 8 hours of work. At the same pay rate, how much will she earn for 15 hours of work?
A. $180
B. $225
C. $245
D. $280
E. $310
32. Which two years were the least number of tires sold?
A. 1998 and 1999
B. 1998 and 2000
C. 1998 and 2001
D. 1999 and 2000
E. 2000 and 2001
33. Which year did the store sell 1/3 more tires than the year before?
A. 1998
B. 1999
C. 2000
D. 2001
E. This did not occur during the 4 year span.
34. What was the average number of tires sold by the store from 1998 to 2001?
A. 9,000
B. 9,375
C. 9,545
D. 9,770
E. 9,995
35. A salesman sold 20 cars in the month of July, and 40 cars the month of August. What is the percent increase in the number of cars the salesman sold?
A. 50%
B. 100%
C. 150%
D. 200%
E. 250%
36. If one side of a square is 5 units, what is the area of the square?
A. 10
B. 15
C. 20
D. 25
E. 30
37. If 8x + 5 = 21, then 3 x + 4 =
A. 2
B. 5
C. 10
D. 16
E. 17
38. In triangle ABC, AB=BC and (C's measure is 65°.) What is the measure of angle B?
A. 40°
B. 50°
C. 60°
D. 65°
E. 75°
39. If the average arithmetic mean of 8, 12, 15, 21, x and 11 is 17 then what is x?
A. 3
B. 15
C. 17
D. 35
E. 42
40. Sarah has a 20 dollar bill and a 5 dollar bill. If she purchases two items, one for $11.23 and the other for $8.32, then how much money does she have left over?
A. $3.75
B. $5.45
C. $6.34
D. $7.77
E. $8.12
Answer Key
1. A
2. E
3. C
4. A
5. B
6. E
7. D
8. E
9. D
10. D
11. C
12. C
13. A
14. C
15. E
16. A
17. D
18. B
19. C
20. A
21. B
22. C
23. D
24. A
25. E
26. B
27. A
28. B
29. D
30. E
31. B
32. B
33. B
34. B
35. B
36. D
37. C
38. B
39. D
40. B


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Graph Practice Questions for NTS,GRE,NAT,GAT



Graph Practice Questions for NTS,GRE,NAT,GAT

1. In the following figure, what is the area of the shaded circle inside of the square?
A. 512
B. 256
C. 16
D. 50.24
E. 12.57
2. In the figure below, determine the area of the shaded region of the figure.
A. 9.354
B. 10.52
C. 16.437
D. 49
E. 104.86
3. What are the coordinates of point A on the following graph?
A. (-3, -4)
B. (-4, 3)
C. (3, -4)
D. (-4, -3)
E. (3, 4)
4. What was the average number of babies that Dr. Jones delivered each year from 1995 to 1998?
A. 35
B. 40
C. 45
D. 50
E. 55
5. How many babies did Dr. Jones deliver in 1998?
A. 25
B. 35
C. 45
D. 55
E. 65
6. If Dr. Jones delivered 85 babies in 1999, how many rattles would represent this number?
A. 6 ½
B. 7
C. 7 ½
D. 8
E. 8 ½
7. If XYZ Auto Company sold 23,000 vehicles in 1999, how many were SUV's?
A. 2,990
B. 3,030
C. 3,450
D. 4,760
E. 4,775
8. If 7,650 trucks were sold in 1999, how many total vehicles were sold in 1999 by XYZ Auto Company?
A. 35,000
B. 40,000
C. 45,000
D. 50,000
E. 55,000
9. If 3,750 2-door sedans were sold in 1999, then how many 4-door sedans were sold in 1999 by XYZ Auto Company?
A. 3,578
B. 4,950
C. 5,120
D. 5,670
E. 5,845
10. How much did the infant gain in the first month of life?
A. 6 ounces
B. 12 ounces
C. 15 ounces
D. 8 lbs 8 ounces
E. 9 lbs 4 ounces
11. What was the average weight of the infant from April to October, rounded to the nearest ounce?
A. 10 lbs
B. 10 lbs 5 ounces
C. 10 lbs 9 ounces
D. 11 lbs 5 ounces
E. 11 lbs 9 ounces
12. Between which two months did the infant gain the most weight?
A. April and May
B. June and July
C. July and August
D. August and September
E. September and October
13. In the graph below, no axes or origin is shown. If point B's coordinates are (10,3), which of the following coordinates would most likely be A's?
A. (17, -2)
B. (10, 6)
C. (6, 8)
D. (-10, 3)
E. (-2, -17)
14. How many boys attended the 1995 convention?
A. 358
B. 390
C. 407
D. 540
E. 716
15. Which year did the same number of boys and girls attend the conference?
A. 1995
B. 1996
C. 1997
D. 1998
E. None
16. Which two years did the least number of boys attend the convention?
A. 1995 and 1996
B. 1995 and 1998
C. 1996 and 1997
D. 1996 and 1992
E. 1997 and 1998
Answer Key
1. E
2. B
3. C
4. C
5. D
6. E
7. A
8. C
9. B
10. B
11. C
12. D
13. C
14. A
15. A
16. A


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Algebra Practice Questions for NTS,GRE,NAT,GAT



Algebra Practice Questions for NTS,GRE,NAT,GAT

1. If Lynn can type a page in p minutes, what piece of the page can she do in 5 minutes?
A. 5/p
B. p - 5
C. p + 5
D. p/5
E. 1- p + 5
2. If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together?
A. 2 hours and 24 minutes
B. 3 hours and 12 minutes
C. 3 hours and 44 minutes
D. 4 hours and 10 minutes
E. 4 hours and 33 minutes
3. Employees of a discount appliance store receive an additional 20% off of the lowest price on an item. If an employee purchases a dishwasher during a 15% off sale, how much will he pay if the dishwasher originally cost $450?
A. $280.90
B. $287
C. $292.50
D. $306
E. $333.89
4. The sales price of a car is $12,590, which is 20% off the original price. What is the original price?
A. $14,310.40
B. $14,990.90
C. $15,290.70
D. $15,737.50
E. $16,935.80
5. Solve the following equation for A : 2A/3 = 8 + 4A
A. -2.4
B. 2.4
C. 1.3
D. -1.3
E. 0
6. If Leah is 6 years older than Sue, and John is 5 years older than Leah, and the total of their ages is 41. Then how old is Sue?
A. 8
B. 10
C. 14
D. 19
E. 21
7. Alfred wants to invest $4,000 at 6% simple interest rate for 5 years. How much interest will he receive?
A. $240
B. $480
C. $720
D. $960
E. $1,200
8. Jim is able to sell a hand-carved statue for $670 which was a 35% profit over his cost. How much did the statue originally cost him?
A. $496.30
B. $512.40
C. $555.40
D. $574.90
E. $588.20
9. The city council has decided to add a 0.3% tax on motel and hotel rooms. If a traveler spends the night in a motel room that costs $55 before taxes, how much will the city receive in taxes from him?
A. 10 cents
B. 11 cents
C. 15 cents
D. 17 cents
E. 21 cents
10. A student receives his grade report from a local community college, but the GPA is smudged. He took the following classes: a 2 hour credit art, a 3 hour credit history, a 4 hour credit science course, a 3 hour credit mathematics course, and a 1 hour science lab. He received a “B” in the art class, an “A” in the history class, a “C” in the science class, a “B” in the mathematics class, and an “A” in the science lab. What was his GPA if the letter grades are based on a 4 point scale? (A=4, B=3, C=2, D=1, F=0)
A. 2.7
B. 2.8
C. 3.0
D. 3.1
E. 3.2
11. Simon arrived at work at 8:15 A.M. and left work at 10: 30 P.M. If Simon gets paid by the hour at a rate of $10 and time and ½ for any hours worked over 8 in a day. How much did Simon get paid?
A. $120.25
B. $160.75
C. $173.75
D. $180
E. $182.50
12. Grace has 16 jellybeans in her pocket. She has 8 red ones, 4 green ones, and 4 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color?
A. 4
B. 8
C. 12
D. 13
E. 16
13. If r = 5 z then 15 z = 3 y, then r =
A. y
B. 2 y
C. 5 y
D. 10 y
E. 15 y
14. If 300 jellybeans cost you x dollars. How many jellybeans can you purchase for 50 cents at the same rate?
A. 150/x
B. 150x
C. 6x
D. 1500/x
E. 600x
15. Lee worked 22 hours this week and made $132. If she works 15 hours next week at the same pay rate, how much will she make?
A. $57
B. $90
C. $104
D. $112
E. $122
16. If 8x + 5x + 2x + 4x = 114, the 5x + 3 =
A. 12
B. 25
C. 33
D. 47
E. 86
17. You need to purchase a textbook for nursing school. The book cost $80.00, and the sales tax where you are purchasing the book is 8.25%. You have $100. How much change will you receive back?
A. $5.20
B. $7.35
C. $13.40
D. $19.95
E. $21.25
18. You purchase a car making a down payment of $3,000 and 6 monthly payments of $225. How much have you paid so far for the car?
A. $3225
B. $4350
C. $5375
D. $6550
E. $6398
19. Your supervisor instructs you to purchase 240 pens and 6 staplers for the nurse's station. Pens are purchased in sets of 6 for $2.35 per pack. Staplers are sold in sets of 2 for 12.95. How much will purchasing these products cost?
A. $132.85
B. $145.75
C. $162.90
D. $225.25
E. $226.75
20. If y = 3, then y3(y3-y)=
A. 300
B. 459
C. 648
D. 999
E. 1099
Answer Key
1. A
2. A
3. D, Sale Price = $450 - 0.15*$450 = $382.50, Employee Price = $382.50 - 0.2*$382.50 = $306
4. D, $12,590 = Original Price - 0.2*Original Price = 0.8*Original Price, Original Price = $12,590/0.8 = $15,737.50
5. A
6. A
7. E
8. A, $670 = Cost + 0.35*Cost = 1.35*Cost, Cost = $670/1.35 = $496.30
9. D
10. C
11. C
12. D
13. A
14. A
15. B
16. C
17. C
18. B
19. A
20. C


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Algebra 2 Practice Questions for NTS,GRE,NAT,GAT



Algebra 2 Practice Questions for NTS,GRE,NAT,GAT

1. If the average of three numbers is V. If one of the numbers is Z and another is Y, what is the remaining number?
A. ZY - V
B. Z/V - 3 - Y
C. Z/3 - V - Y
D. 3V- Z - Y
E. V- Z - Y
2. Two cyclists start biking from a trail's start 3 hours apart. The second cyclist travels at 10 miles per hour and starts 3 hours after the first cyclist who is traveling at 6 miles per hour. How much time will pass before the second cyclist catches up with the first from the time the second cyclist started biking?
A. 2 hours
B. 4 ½ hours
C. 5 ¾ hours
D. 6 hours
E. 7 ½ hours
3. Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 ½ hours. How quickly can all three fill the pool together?
A. 12 minutes
B. 15 minutes
C. 21 minutes
D. 23 minutes
E. 28 minutes
4. Mary is reviewing her algebra quiz. She has determined that one of her solutions is incorrect. Which one is it?
A. 2x + 5 (x-1) = 9, x = 2
B. p - 3(p-5) = 10, p = 2.5
C. 4 y + 3 y = 28, y = 4
D. 5 w + 6 w - 3w = 64, w = 8
E. t - 2t - 3t = 32, t = 8
5. What simple interest rate will Susan need to secure to make $2,500 in interest on a $10,000 principal over 5 years?
A. 4%
B. 5%
C. 6%
D. 7%
E. 8%
6. Which of the following is not a rational number?
A. -4
B. 1/5
C. 0.8333333...
D. 0.45
E.
7. A study reported that in a random sampling of 100 women over the age of 35 showed that 8 of the women were married 2 or more times. Based on the study results, how many women in a group of 5,000 women over the age of 35 would likely be married 2 or more times?
A. 55
B. 150
C. 200
D. 400
E. 600
8. John is traveling to a meeting that is 28 miles away. He needs to be there in 30 minutes. How fast does he need to go to make it to the meeting on time?
A. 25 mph
B. 37 mph
C. 41 mph
D. 49 mph
E. 56 mph
9. If Steven can mix 20 drinks in 5 minutes, Sue can mix 20 drinks in 10 minutes, and Jack can mix 20 drinks in 15 minutes, how much time will it take all 3 of them working together to mix the 20 drinks?
A. 2 minutes and 44 seconds
B. 2 minutes and 58 seconds
C. 3 minutes and 10 seconds
D. 3 minutes and 26 seconds
E. 4 minutes and 15 seconds
10. If Sam can do a job in 4 days that Lisa can do in 6 days and Tom can do in 2 days, how long would the job take if Sam, Lisa, and Tom worked together to complete it?
A. 0.8 days
B. 1.09 days
C. 1.23 days
D. 1.65 days
E. 1.97 days
11. Jim has 5 pieces of string. He needs to choose the piece that will be able to go around his 36-inch waist. His belt broke, and his pants are falling down. The piece needs to be at least 4 inches longer than his waist so he can tie a knot in it, but it cannot be more that 6 inches longer so that the ends will not show from under his shirt. Which of the following pieces of string will work the best?
A. 3 feet
B. 3 ¾ feet
C. 3 ½ feet
D. 3 ¼ feet
E. 2 ½ feet
12. The last week of a month a car dealership sold 12 cars. A new sales promotion came out the first week of the next month and the sold 19 cars that week. What was the percent increase in sales from the last week of the previous month compared to the first week of the next month?
A. 58%
B. 119%
C. 158%
D. 175%
E. 200%
13. If two planes leave the same airport at 1:00 PM, how many miles apart will they be at 3:00 PM if one travels directly north at 150 mph and the other travels directly west at 200 mph?
A. 50 miles
B. 100 miles
C. 500 miles
D. 700 miles
E. 1,000 miles
14. During a 5-day festival, the number of visitors tripled each day. If the festival opened on a Thursday with 345 visitors, what was the attendance on that Sunday?
A. 345
B. 1,035
C. 1,725
D. 3,105
E. 9,315
Answer Key
1. D
2. B
3. B
4. E
5. B
6. E
7. D
8. E
9. A
10. B
11. C
12. A
13. C


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Averages and Rounding Practice Questions for NTS,GRE,NAT,GAT



Averages and Rounding Practice Questions for NTS,GRE,NAT,GAT

1. Round 907.457 to the nearest tens place.
A. 908.0
B. 910
C. 907.5
D. 900
E. 907.46
2. At a certain high school, the respective weights for the following subjects are:
Mathematics 3, English 3, History 2, Science 2 and Art 1.
What is a student's average whose marks were the following: Geometry 89, American Literature 92, American History 94, Biology 81, and Sculpture 85?
A. 85.7
B. 87.8
C. 88.9
D. 89.4
E. 90.2
3. Ginger over the course of an average work-week wanted to see how much she spent on lunch daily. On Monday and Thursday, she spent $5.43 total. On Tuesday and Wednesday, she spent $3.54 on each day. On Friday, she spent $7.89 on lunch. What was her average daily cost?
A. $3.19
B. $3.75
C. $3.90
D. $4.08
E. $4.23
4. What is 1230.932567 rounded to the nearest hundredths place?
A. 1200
B. 1230.9326
C. 1230.93
D. 1230
E. 1230.933
5. Subtract the following numbers rounded to the nearest tenths place.
134.679
-45.548
-67.8807
A. 21.3
B. 21.25
C. -58.97
D. -59.0
E. 1
6. What is the absolute value of -9?
A. -9
B. 9
C. 0
D. -1
E. 1
7. What is the median of the following list of numbers? 4, 5, 7, 9, 10, 12
A. 6
B. 7.5
C. 7.8
D. 8
E. 9
8. What is the mathematical average of the number of weeks in a year, seasons in a year, and the number of days in January?
A. 36
B. 33
C. 32
D. 31
E. 29
9. In a college, some courses contribute more towards an overall GPA than other courses. For example, a science class is worth 4 points; mathematics is worth 3 points; history is worth 2 points; and English is worth 3 points. The values of the grade letters are as follows, A= 4, B=3, C=2, D=1, F=0. What is the GPA of a student who made a “C” in Trigonometry, a “B” in American History, an “A” in Botany, and a “B” in Microbiology?
A. 2.59
B. 2.86
C. 3.08
D. 3.33
E. 3.67
10. Over the course of a week, Fred spent $28.49 on lunch. What was the average cost per day?
A. $4.07
B. $3.57
C. $6.51
D. $2.93
E. $5.41
11. A roast was cooked at 325° F in the oven for 4 hours. The internal temperature rose from 32° F to 145° F. What was the average rise in temperature per hour?
A. 20.2° F/hr
B. 28.25° F/hr
C. 32.03° F/hr
D. 37° F/hr
E. 37.29° F/hr
12. In the number 743.25 which digit represents the tenths space?
A. 2
B. 3
C. 4
D. 5
E. 6
Answer Key
1. B
2. C
3. D
4. C
5. A
6. B
7. D
8. E
9. C
10. A
11. B
12. A


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Basic Operations Practice Questions for NTS,GRE,NAT,GAT



Basic Operations Practice Questions for NTS,GRE,NAT,GAT

1. Add 0.98 + 45.102 + 32.3333 + 31 + 0.00009
A. 368.573
B. 210.536299
C. 109.41539
D. 99.9975
E. 80.8769543
2. Find 0.12 ÷ 1
A. 12
B. 1.2
C. .12
D. .012
E. .0012
3. (9 ÷ 3) x (8 ÷ 4) =
A. 1
B. 6
C. 72
D. 576
E. 752
4. 6 x 0 x 5
A. 30
B. 11
C. 25
D. 0
E. 27
5. 7.95 ÷ 1.5
A. 2.4
B. 5.3
C. 6.2
D. 7.3
E. 7.5
6. -32 + 7 equals:
A. -25
B. 25
C. -26
D. 26
E. 27
7. -37 + -47 equals:
A. 64
B. -84
C. 65
D. -75
E. -66
8. 41% equals:
A. 4.1
B. .41
C. .041
D. .0041
E. .00415
Answer Key
1. C
2. C
3. B
4. D
5. B
6. A
7. B
8. B


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Estimation Sequence Practice Questions for NTS,GRE,NAT,GAT



Estimation Sequence Practice Questions for NTS,GRE,NAT,GAT

1. Describe the following sequence in mathematical terms. 144, 72, 36, 18, 9
A. Descending arithmetic sequence
B. Ascending arithmetic sequence
C. Descending geometric sequence
D. Ascending geometric sequence
E. Miscellaneous sequence
2. Which of the following is not a whole number followed by its square?
A. 1, 1
B. 6, 36
C. 8, 64
D. 10, 100
E. 11, 144
3. A nurse has to record her temperatures in Celsius but her thermometer reads Fahrenheit. A patient's temperature is 100.7° F. What is the temperature in °C?
A. 32° C
B. 36.5° C
C. 38.2° C
D. 213.3° C
E. 223.7° C
4. Art realized that he had 2 more quarters than he had originally thought in his pocket. If all of the change in his pocket is quarters and it totals to $8.75, how many quarters did he originally think were in his pocket?
A. 27
B. 29
C. 31
D. 33
E. 35
5. There are 12 more apples than oranges in a basket of 36 apples and oranges. How many apples are in the basket?
A. 12
B. 15
C. 24
D. 28
E. 36
6. Which of the following correctly identifies 4 consecutive odd integers where the sum of the middle two integers is equal to 24?
A. 5, 7, 9, 11
B. 7, 9, 11, 13
C. 9, 11, 13, 15
D. 11, 13, 15, 17
E. 13, 15, 17, 19
7. What is the next number in the sequence? 6, 12, 24, 48, ___
A. 72
B. 96
C. 108
D. 112
E. 124
8. Which of the following numbers could be described in the following way: an integer that is a natural, rational and whole number?
A. 0
B. 1
C. 2.33
D. -3
E. none of the above
9. What is the next number in the following pattern? 1, 1/2, 1/4, 1/8, ___
A. 1/10
B. 1/12
C. 1/14
D. 1/15
E. 1/16
10. Of the following units, which would be most likely to measure the amount of sugar needed in a recipe for 2 dozen cookies
A. degrees Celsius
B. milliliters
C. quarts
D. kilograms
E. cups
Answer Key
1. C
2. E
3. C
4. D
5. C
6. C
7. B
8. B
9. E
10. E


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Exponent Practice Questions for NTS,GRE,NAT,GAT



Exponent Practice Questions for NTS,GRE,NAT,GAT

1. 104 is not equal to which of the following?
A. 100,000
B. 0.1 x 105
C. 10 x 10 x 10 x 10
D. 102 x 102
E. 10,000
2. Multiply 104 by 102
A. 108
B. 102
C. 106
D. 10-2
E. 103
3. Divide x5 by x2
A. x7
B. x4
C. x10
D. x3
E. x2.5
4. Find 8.23 x 109
A. 0.00000000823
B. 0.000000823
C. 8.23
D. 8230000000
E. 823000000000
5. 83,000 equals:
A. 83.0 x 104
B. 8.3 x 104
C. 8.3 x 103
D. 83.0 x 105
E. 83.0 x 102
6. .00875 equals:
A. 8.75 x 10-2
B. 8.75 x 10-3
C. 8.75 x 10-4
D. 87.5 x 10-3
E. 875 x 10-4
Answer Key
1. A
2. C
3. D
4. D
5. B
6. B


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Fractions and Square Root Practice Questions fot NTS,GRE,NAT,GAT



Fractions and Square Root Practice Questions fot NTS,GRE,NAT,GAT

1. What is the improper fraction or mixed number represented by the following figure?
A. 2 1/3
B. 7/6
C. 2 5/8
D. 11/3
E. 11/9
2. Which of the following fractions most correctly depicts the shaded area of the circle below?
A. 3/8
B. 5/8
C. 3/4
D. 5/11
E. 1/2
3. Which of the following is not a fraction equivalent to 3/4?
A. 6/8
B. 9/12
C. 12/18
D. 21/28
E. 27/36
4. Solve: 0.25 + 0.65
A. 1/2
B. 9/10
C. 4/7
D. 2/9
E. 5/16
5. Which of the following statements is false?
A. In the fraction ½, one is the numerator.
B. When 4.89 is rounded to the ones place, the answer is 5.
C. Ten thousandths place is located 5 places to the right of the decimal
D. 7/6 is described as an improper fraction.
E. 33 1/3 % is equivalent to
6. Find the square of 25/9
A. 5/3
B. 3/5
C. 7 58/81
D. 15/2
E. 650/81
7. Sarah needs to make a cake and some cookies. The cake requires 3/8 cup of sugar and the cookies require 3/5 cup of sugar. Sarah has 15/16 cups of sugar. Does she have enough sugar, or how much more does she need?
A. She has enough sugar.
B. She needs 1/8 of a cup of sugar.
C. She needs 3/80 of a cup of sugar.
D. She needs 4/19 of a cup of sugar.
E. She needs 1/9 of a cup of sugar.
8. There are 8 ounces in a 1/2 pound. How many ounces are in 7 3/4 lbs?
A. 12 ounces
B. 86 ounces
C. 119 ounces
D. 124 ounces
E. 138 ounces
9. If the value of x and y in the following fraction are both tripled, how does the value of the fraction change?
XZ
Y
A. increases by half
B. decreases by half
C. triples
D. doubles
E. remains the same
10. Which of the following fractions is the equivalent of 0.5%
A. 1/20
B. 1/200
C. 1/2000
D. 1/5
E. 1/500
11. Which of these numbers is a factor of 21
A. 2
B. 5
C. 7
D. 42
E. 44
12. If the average person drinks 8, (8oz) glasses of water per day, a person who drinks 12.8 oz of water after a morning exercise session has consumed what fraction of the daily average?
A. 1/3
B. 1/5
C. 1/7
D. 1/9
E. 1/10
13. You need 4/5 cups of water for a recipe. You accidentally put 1/3 cups into the mixing bowl with the dry ingredients. How much more water in cups do you need to add?
A. 1/3 cups
B. 2/3 cups
C. 1/15 cups
D. 7/15 cups
E. 7/16 cups
14. ¾ - ½ =
A. ¼
B. 1/3
C. ½
D. 2/3
E. 2/5
15. 7 1/2 - 5 3/8 =
A. 1 1/2
B. 1 2/3
C. 2 1/8
D. 3 1/4
E. 3
Answer Key
1. C
2. B
3. C
4. B
5. C
6. C
7. C
8. D
9. E
10. B
11. C
12. B
13. D
14. A
15. C


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Geometry Practice Questions for NTS,GRE,NAT,GAT



Geometry Practice Questions for NTS,GRE,NAT,GAT

1. Which of the following letters represents the vertex in the following picture?
A. D and E
B. E and H
C. F and G
D. G only
E. H only
2. If a circle has the diameter of 8, what is the circumference?
A. 6.28
B. 12.56
C. 25.13
D. 50.24
E. 100.48
3. What is the area of the triangle below?
A. 22 cm2
B. 33 cm2
C. 44 cm2
D. 50 cm2
E. 66 cm2
4. What is the measure of the solid line angle depicted by the following figure?
A. 90 degrees
B. 180 degrees
C. 225 degrees
D. 270 degrees
E. 0 degrees
5. What is the measure of angle B in the following figure if angle A measures 135°?
A. 40°
B. 45°
C. 50°
D. 135°
E. 225°
Answer Key
1. E
2. C
3. B
4. D
5. B


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Percent and Ratio Practice Questions for NTS,GRE,NAT,GAT

1. If a discount of 20% off the retail price of a desk saves Mark $45, how much did he pay for the desk?
A. $145
B. $160
C. $180
D. $210
E. $215
2. A customer pays $1,100 in state taxes on a newly purchased car. What is the value of the car if state taxes are 8.9% of the value?
A. $9.765.45
B. $10,876.90
C. $12,359.55
D. $14,345.48
E. $15,745.45
3. How many years does Steven need to invest his $3,000 at 7% to earn $210 in simple interest?
A. 1 year
B. 2 years
C. 3 years
D. 4 years
E. 5 years
4. Sabrina's boss states that she will increase Sabrina's salary from $12,000 to $14,000 per year if she enrolls in business courses at a local community college. What percent increase in salary will result from Sabrina taking the business courses?
A. 15%
B. 16.7%
C. 17.2%
D. 85%
E. 117%
5. 35% of what number is 70?
A. 100
B. 110
C. 150
D. 175
E. 200
6. What number is 5% of 2000?
A. 50
B. 100
C. 150
D. 200
E. 250
7. What percent of 90 is 27?
A. 15%
B. 20%
C. 30%
D. 33%
E. 41%
8. Jim works for $15.50 per hour for a health care facility. He is supposed to get a 75 cent per hour raise at one year of service. What will his percent increase in hourly pay be?
A. 2.7%
B. 3.3%
C. 133%
D. 4.8%
E. 105%
9. If 45 is 120% of a number, what is 80% of the same number?
A. 30
B. 32
C. 36
D. 38
E. 41
10. How long will Lucy have to wait before her $2,500 invested at 6% earns $600 in simple interest?
A. 2 years
B. 3 years
C. 4 years
D. 5 years
E. 6 years
11. What is 35% of a number if 12 is 15% of a number?
A. 5
B. 12
C. 28
D. 33
E. 62
12. A computer is on sale for $1600, which is a 20% discount off the regular price. What is the regular price?
A. $1800
B. $1900
C. $2000
D. $2100
E. $2200
13. A car dealer sells a SUV for $39,000, which represents a 25% markup over the dealer's cost. What was the cost of the SUV to the dealer?
A. $29,250
B. $31,200
C. $32,500
D. $33,800
E. $33,999
14. After having to pay increased income taxes this year, Edmond has to sell his BMW. Edmond bought the car for $49,000, but he sold it for a 20% loss. What did Edmond sell the car for?
A. $24,200
B. $28,900
C. $35,600
D. $37,300
E. $39,200
15. At a company fish fry, ½ in attendance are employees. Employees' spouses are 1/3 of the attendance. What is the percentage of the people in attendance who are not employees or employee spouses?
A. 10.5%
B. 16.7%
C. 25%
D. 32.3%
E. 38%
16. If 6 is 24% of a number, what is 40% of the same number
A. 8
B. 10
C. 15
D. 20
E. 25
17. 25% of 400 =
A. 100
B. 200
C. 800
D. 10,000
E. 12,000
18. 22% of $900 =
A. 90
B. 198
C. 250
D. 325
E. 375
19. Which of the following percentages is equal to 0.45?
A. 0.045%
B. 0.45%
C. 4.5%
D. 45%
E. 0.0045%
20. Which of these percentages equals 1.25?
A. 0.125%
B. 12.5%
C. 125%
D. 1250%
E. 1250.5%
Answer Key
1. C
2. C
3. A
4. B
5. E
6. B
7. C
8. D
9. A
10. C
11. C
12. C
13. B
14. E
15. B
16. B
17. A
18. B
19. D
20. C


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