MU-NLPC/Calc-aqua_rat huggingface dataset:
Out of a classroom of 7 boys and 4 girls, the teacher randomly chooses a president for the student board, a vice president, and a secretary. What is the probability that only girls will be selected for all three positions? Choose the correct choice from the following answers.
A) 2/165 B) 4/165 C) 7/165 D) 2/33 E) 5/33

Solution: The number of ways to choose three people is 11C3=165.   The number of ways to choose three girls is 4C3=4.   P(only girls are chosen)=4/165   The answer is 4/165.
Answer: B
Ram sold two bicycles, each for Rs.990. If he made 10% profit on the first and 10% loss on the second, what is the total cost of both bicycles? Choose the correct choice from the following answers:
A) 2000 B) 2978 C) 2682 D) 2688 E) 2786

Solution: (10*10)/100= 
(10*10)/100 = 1
1%loss   100 --- 99   ? --- 1980=>   Rs.2000   2000nswer:2000
Answer: A
The perimeter of a square is 52 m. Find the area of the square.	Choose the correct answer:
A) 132 m².	B) 169 m².	C) 146 m².	D) 189 m².	E) 269 m².

Solution: Perimeter of square = 52 m   But perimeter of square = 4 × side   Therefore, 4 × side = 52 m   Therefore, side= 52/4= 
52/4 = 13
13m   Now, the area of the square= (side × side)   Therefore, area of the square = 13 × 13 m² = 169 m².   ANSWER :169 m².
Answer: B
A part-time employee whose hourly wage was decreased by 20 percent decided to increase the number of hours worked per week so that the employee's total income did not change. By what percent should the number of hours worked be increased? Choose the correct choice from the following answers.
A) 12.5%
B) 20%
C) 25%
D) 50%
E) 100%

Solution: Assume   Hours Worked: 10 hours   Hourly Wage: 10 $   Weekly Wage: 100 $   After decrease of 20 % in Hourly Wage would become 8 $   Hours Worked would have to be 12.5 hours in order to maintain Weekly Wage of 100 $   % increase in number of hours worked = (12.5 - 10 ) / 10= 
(12.5 - 10 ) / 10 = 0.25
0.25 * 100= 
0.25 * 100 = 25
25%   Answer is 25%
Answer: C
If xy > 0, which of the following must be negative? Pick
A) -x/-y	B) x/y	C) -x/y	D) 2xy	E) x+y

Solution: - / + = -   Answer : -x/y
Answer: C
Of the goose eggs laid at a certain pond, 1/4 hatched and 4/5 of the geese that hatched from those eggs survived the first month. Of the geese that survived the first month, 3/5 did not survive the first year. If 120 geese survived the first year and if no more than one goose hatched from each egg, how many goose eggs were laid at the pond? Choose the correct choice:
A) 1200
B) 1300
C) 1400
D) 1500
E) 1600

Solution: Let x be the number of eggs that were laid.   (2/5)(4/5)(1/4)x = 120   (8/100)x = 120   x = 1500   The answer is 1500.
Answer: D
It takes 40 identical printing presses 12 hours to print 500,000 papers. How many hours would it take 30 of these printing presses to print 500,000 papers?
Choose the correct choice from the following answers:	A) 14	B) 15	C) 16	D) 18	E) 20

Solution: 40 printing presses can do 1/12 of the job each hour.   30 printing presses can do 3/4*1/12 = 1/16 of the job each hour.   The answer is 16.
Answer: C
10 % of 2 is equal to Choose the correct choice.
A) 0.2	B) 0.4	C) 0.6	D) 0.7	E) 0.9

Solution: 10 % of 2 = (10 / 100) * 2= 
(10 / 100) * 2 = 1/5 = around 0.2
0.2   0.2nswer: Option 0.2
Answer: A
3 years ago, the average age of a family of 5 members was 17 years. A baby having been born, the average age of the family is the same today. The present age of the baby is
Choose the most appropriate option.
A) 1 years	B) 2 years	C) 3 years	D) 4 years	E) None

Solution: Sol.   Total age of 5 members, 3 years ago = (17 x 5)years = 85 years.   Total age of 5 members now = (85 + 3 x 5)years = 100 years.   Total age of 6 members now = (17 x 6)years = 102 years.   ∴ Age of the baby = (102 - 100)= 
(102 - 100) = 2
2 years   Answer 2 years
Answer: B
If a quarter kg of onions costs 50 paise, how many paise will 100 gm cost? Choose the correct choice from the following answers:
A) 20 paise
B) 65 paise
C) 56 paise
D) 87 paise
E) 15 paise

Solution: Explanation:   Let the required cost be x paise.   Less weight, Less cost (Direct proportion)   250 : 100 : : 50 : x   250 * x = (100 * 50)   x = (100 * 50) / 250= 
(100 * 50) / 250 = 20
20   20 paiseNSWER: 20 paise
Answer: A
A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office. In how many ways can the company assign 5 employees to 2 different offices?	Choose the correct choice from the following answers
A) 30  B) 32  C) 31  D) 33  E) 35

Solution: Each of three employee can be assigned to either of offices, meaning that each has 2 choices --> 2*2*2*2*2=2^5=32.   Answer: 32.
Answer: B
A 300 meter long train crosses a platform in 48 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
Options:
A) 227
B) 266
C) 230
D) 500
E) 271

Solution: Speed = [300 / 18] m/sec = 50/3 m/sec.   Let the length of the platform be x meters.   Then, x + 300 / 48 = 50/3   3(x + 300) = 2400 è x = 500m.   Answer: 500
Answer: D
A restaurant meal cost $35.50 and there was no tax. If the tip was more than 10 percent but less than 15 percent of the cost of the meal, then total amount paid must have been between:  Pick one
A) $40 and $42	B) $39 and $41	C) $38 and 40	D) $37 and $39	E) $36 and $37

Solution: let tip=t   meal cost=35.50   range of tip = from 10% of 35.5 to 15% of 35.5 = 3.55 to 5.325   hence range of amount paid= 35.5+T= 39.05 to 40.825   ANSWER:$39 and $41
Answer: B
The average of 2,7,6 and x is 5. Find the value of x?
Pick one.
A) 10 B) 8 C) 12 D) 15 E) 5

Solution: average = (2+7+6+x)/4 = 5   x = 5   Answer is 5
Answer: E
An article is bought for Rs.675 and sold for Rs.900, find the gain percent?
Choose the correct choice from the following options:
A) 16 2/3%
B) 30%
C) 33 1/3%
D) 33 1/6%
E) 33 1/9%

Solution: Explanation:   675 ---- 225   100 ---- ? => 33 1/3%   ANSWER IS 33 1/3%
Answer: C
The difference between the local value and the face value of 7 in the numeral 32675149 is?	Choose the correct choice from the following:
A) 75142
B) 64851
C) 5149
D) 69993
E) None of these

Solution: (Local value of 7) - (Face value of 7) = (70000 - 7)= 
(70000 - 7) = 69_993
69993   69993)
Answer: D
Lola rolls a die 3 times. What is the probability that she gets a 4 on the last one of the 3 rolls?
Choose the correct choice from the following:  A) 215/216  B) 216  C) 1/216  D) none  E) 2

Solution: the die has 6 sides and it was rolle 3 times, then 6*6*6= 
6*6*6 = 216
216   the number of ways to get 4 is 1   then 1/216   the probability would be   1-1/216=215/216   215/216nswer 215/216
Answer: A
A can complete a project in 20 days while B can complete same project in 30 days. If A and B start working together and A leaves the work 10 days before completion of project, then in how many days the project will be completed?
Choose the correct choice from the following answers:  A) 18  B) 19  C) 20  D) 21  E) 22

Solution: A's 1day work=1/20;   B's 1day work=1/30;   (A+B) 1day work=(1/20+1/30)=1/12;   It is given that A leaves the work 10 days before completion of the project..   Thus,B alone does the remaining job in 10 days.   So,In 10 days ,B can do 1/3 w ..   Thus,(A+B) have worked (1-1/3)=2/3 w..   (A+B)can do 1/12 work in 1 day...   They did 2/3 w in 8 days.   Total days=(8+10)= 
(8+10) = 18
18   18NSWER:18
Answer: A
Calculate the share of profit that belongs to Mark in a partnership business he invested Rs 31,000. His partner Abel invested RS.36,800 and the business made a profit of Rs 18,400.
Choose the correct choice from the following
A) 8499.98  B) 8489.98  C) 8412.98  D) 8732.98  E) 2112.98

Solution: Explanation:   Ratio of their shares = 31,000 : 36,800 = 155 : 184.   Mark's share = Rs. (18400 * 155/339) = Rs. 8412.98.   Answer: 8412.98) 8412.98
Answer: C
At a certain amateur bands rock show the ratio of freaks to nerds to geeks( G) is 1:2:3. If these are the only types of people in the crowd, and each person in the crowd has the same chance of yelling rock on!, what are the chances that the next person who yells rock on!will be a geek?
Choose the most appropriate option:
A) 1/8	B) 1/3	C) 1/2	D) 1/4	E) 1/6

Solution: Another approach is toassign some nice valuesfor the number of freaks, nerds and geeks.   Given: the ratio of freaks to nerds to geeks is 1:2:3   So, let's say there is: 1 freak, 2 nerds and3geeks for a TOTAL of6people.   P(next person who yellsrock on!is a geek) = (# of geeks in the crowd)/(TOTAL # of people in the crowd)   =3/6   = 1/2   Answer:   1/2
Answer: C
A town in California fines residents who do not pay their property taxes on time. All residents must pay their taxes before July 1st for that calendar year or face the following fine structure: For the first month the taxes are overdue (that would be any payment made on July 1st through July 31st), the total fine is 1% of the original tax bill; for each additional month that the taxes are overdue, the total fine is increased by $1000 or doubled, whichever results in the lesser amount. What is the total fine for a resident of that town who originally owed $50,000 in property taxes, but did not pay until October 15th?
Pick: A) $1,400 B) $1,800 C) $4,000 D) $21,400 E) $22,800

Solution: Original amount = 50,000   Fine for July = 50,000 * 1% = 500   Fine for August = lesser of the 2 , 500+1000= 1500 or  500*2= 
 500*2 = 1_000
1000 . Pick 1000   Fine for September= 1000+1000= 
1000+1000 = 2_000
2000 or  1000*2= 
 1000*2 = 2_000
2000. Pick 2000   Fine for October= 2000+1000= 
2000+1000 = 3_000
3000 or  2000*2= 
 2000*2 = 4_000
4000. Pick 4000.   The wording of the question should be have been clearer as total fines should be= 4000+2000+1000+500= 
4000+2000+1000+500 = 7_500
7500 and NOT 4000.   4000 is the fine ONLY for the month of October!   $4,000
Answer: C
The average salary of a person for the months of January, February, March and April is Rs.8000 and that for the months February, March, April and May is Rs.8900. If his salary for the month of May is Rs.6500, find his salary for the month of January?
Choose the correct choice from the following answers:
A) s.2900
B) s.3570
C) s.4500
D) s.4550
E) s.2500

Solution: Sum of the salaries of the person for the months of January, February, March and April   = 4 * 8000= 
4 * 8000 = 32_000
32000 ----(1)   Sum of the salaries of the person for the months of February, March, April and May= 4 * 8900= 
4 * 8900 = 35_600
35600 ----(2)   (2)-(1) i.e. May - Jan=3600   Salary of May is Rs.6500   Salary of January = Rs.2900   s.2900nswer:s.2900
Answer: A
If n is a positive integer and n^2 is divisible by 72, then the largest positive integer W that must divide n is?
Choose the most appropriate option
A) 6  B) 12  C) 24  D) 36  E) 48

Solution: Q: If n is a positive integer and n^2 is divisible by 72, then the largest positive integer W that must divide n is:   A 6, B 12, C 24, D 36, E 48   n^2 is divisible by 72, but it must also be greater than 72. If n is an integer, then n^2 must be a perfect square. The factorization of 72 is (8)(9), so if it is multiplied by 2, it will be (2)(8)(9) = (16)(9) = 144, a perfect square. So n^2 must be at least 144 or a multiple of 144, which means that n must be 12 or a multiple of 12.12
Answer: B
The HCF and LCM of two numbers m and n are respectively 6 and 210. If m + n = 58, then 1/m + 1/n is equal to
Choose the correct choice from the following answers:	A) 1/35	B) 3/35	C) 5/37	D) 2/35	E) None

Solution: Answer   We have, m x n = 6 x 210 = 1260   âˆ´ 1/m + 1/n = (m + n)/mn = 58/1260 = 17/620   Correct Option: None
Answer: E
A straight fence is to be constructed from posts 9 inches wide and separated by lengths of chain 5 feet long. If a certain fence begins and ends with a post, which of the following couldnotbe the length of the fence in feet? (12 inches = 1 foot)
Choose the correct choice from the following:
A) 17 B) 28 C) 35 D) 39 E) 40

Solution: The fence begins and ends with a post: {post = 0.5 feet}{chains = 5 feet}{post = 0.5 feet}...{chains = 5 feet}{post = 0.5 feet}   The minimum length is with 2 posts = 0.5 + 5 + 0.5= 
0.5 + 5 + 0.5 = 6
6 feet. To increase the fence, each time we should add{post= 0.5 feet}{chains = 5 feet}, so 5.5 feet. Thus, the lengths could be:   9 feet;   9 + 5.5= 
9 + 5.5 = 14.5
14.5 feet;   11.5 + 5.5= 20 feet;   17 + 5.5 = 25.5 feet;   22.5 + 5.5 = 31 feet;   28 + 5.5 = 34.5 feet;   33.5 + 5.5 = 41 feet.   ...   We skipped 40 feet.   Answer: 40.
Answer: E
Sanoop bought 8 t-shirts at an average price (arithmetic mean) of Rs.530. If Sanoop returned 3 t-shirts to the retailer, and the average price of the remaining t-shirts was Rs.505, then what is the average price, of the three returned t-shirts? Choose the correct choice
A) 560	B) 561	C) 562	D) 571.6	E) 564

Solution: Total price of 8 t-shirts= 8*530= 
8*530 = 4_240
4240   Total price of 5 t-shirts=5*505= 
5*505 = 2_525
2525   Total price of 3 t-shirts=4240-2525= 
4240-2525 = 1_715
1715   Average price of 3 t-shirts=1715/3=571.6   Correct option Answer:571.6
Answer: D
A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Choose the most appropriate option:
A) 90 B) 94 C) 96 D) 97 E) 99

Solution: Let number of notes of each denomination be x.   Then x + 5x + 10x = 480   16x = 480   x = 30.   Hence, total number of notes = 3x = 90.   90
Answer: A
If $15,000,000 is the initial amount placed in an account that collects 7% annual interest, which of the following compounding rates would produce the largest total amount after two years?  Choose the correct choice from the following choices
A) compounding annually
B) compounding quarterly
C) compounding monthly
D) All four of these would produce the same total
E) compounding daily

Solution: This will produce the maximum yield as the interest accured each day will be added the very next day to the Principal amount for further computation of interest.   This process will be repeated every day till the amount matures   Compounding annually will give least returns   Answer = compounding daily
Answer: E
The ration of the number of boys and girls in a college is 2:3. If the percentage is increase in the number of boys and girls be 10% and 20% respectively. What will be the new ration?
Choose one.
A) 21:22	B) 13:17	C) 15:43	D) 11:18	E) 15:23

Solution: Let the number of boys and girls be 2x and 3x   their increased number is 110% of 2x and 120% of 3x   2x*110/100 and 3x*120/100   11x/5 and 18x/5   Required ratio = 11x/5 : 18x/5 = 11:18   Answer is 11:18
Answer: D
Two pipes A and B can separately fill a tank in 12 and 15 minutes respectively. A third pipe C can drain off 36 liters of water per minute. If all the pipes are opened, the tank can be filled in 15 minutes. What is the capacity of the tank?	Choose the correct choice from the following.
A) 542
B) 540
C) 514
D) 829
E) 432

Solution: 1/12 + 1/15 - 1/x = 1/15   x = 12   12 * 36= 
12 * 36 = 432
432   Answer: 432
Answer: E
A and B can finish a work in 16 days while A alone can do the same work in 24 days. In how many days B alone will complete the work?	Choose the correct choice from the following answers
A) 56  B) 48  C) 30  D) 40  E) 50

Solution: 48 = 1/16 â€“ 1/24 = 1/48 => 48 days   ANSWER 48
Answer: B
A sum of money is put out at compound interest for 2 years at 20%. It would fetch Rs.482 more if the interest were payable half-yearly, then it were pay able yearly. Find the sum?
Choose the most appropriate option:
A) 2999  B) 2770  C) 2708  D) 2000  E) 2791

Solution: P(11/10)4 - P(6/5)2 = 482   P = 2000   Answer: 2000
Answer: D
Find the average of the first 19 natural numbers?
Choose the correct option:
A) 8 B) 9 C) 10 D) 11 E) 12

Solution: Average of the first 'n' natural numbers = (n + 1)/2   We get  (19 + 1)/2= 
 (19 + 1)/2 = 10
10   ANSWER:10
Answer: C
Alice and Bob contributed $8 and $4 respectively to the price of a $12 lottery ticket. The ticket won fourth prize, worth $24,000. How much money should they each receive from the prize?
Choose the correct choice from the following options:
A) Alice should get $13,000; Bob should get $11,000 B) Alice should get $16,000; Bob should get $8,000 C) Alice should get $17,000; Bob should get $7,000 D) Alice should get $17,500; Bob should get $6,500 E) Alice should get $18,000; Bob should get $6,000

Solution: A = $8   Alice should get $16,000; Bob should get $8,000 = $4   A share 8 parts & Alice should get $16,000; Bob should get $8,000 share 4 parts   Total 12 parts -----> $24000   ----> 1 part -------> $2000   A share = 8 parts -----> $12000   Alice should get $16,000; Bob should get $8,000
Answer: B
The sum of the mean, the median, and the range of the set {1, 2, 9} equals which one of the following values?	Choose the correct option:
A) 12  B) 14  C) 16  D) 8  E) 10

Solution: set {1, 2, 9}   Mean = (1+2+9)/3= 
(1+2+9)/3 = 4
4   Meadian= Middle term = 2   Range = Highest - Lowest = 9-1= 
9-1 = 8
8   Mean+Median+Range= 4+2+8= 
4+2+8 = 14
14   Answer: Option 14
Answer: B
Two trains are running in opposite directions in the same speed. The length of each train is 120 meter. If they cross each other in 16 seconds, the speed of each train (in km/hr) is	Options.
A) 42	B) 27	C) 28	D) 20	E) 24

Solution: Explanation:   Distance covered = 120+120= 
120+120 = 240
240 m   Time= 16 s   Let the speed of each train = v. Then relative speed = v+v = 2v   2v = distance/time = 240/16= 
240/16 = 15
15 m/s   Speed of each train= v = 15/2= 
15/2 = 15/2 = around 7.5
7.5 m/s= 7.5×36/10 km/hr = 27 km/hr   Answer: Option 27
Answer: B
Concentrated orange juice comes inside a cylinder tube with a radius of 2.5 inches and a height of 15 inches. The tubes are packed into wooden boxes, each with dimensions of 11 inches by 10 inches by 31 inches. How many tubes of concentrated orange juice, at the most, can fit into 3 wooden boxes?  Select:
A) 24. B) 28. C) 36. D) 42. E) 48

Solution: Diameter of tube= 5 inches   Height of wooden tube= 15 inches   Two tubes can stand in 31 inches height   Two tubes can fit in 11 inches length   Two tubes can fit in 10 inches width   So, one box can hold 8 tubes   Three boxes can hold= 8*3= 
8*3 = 24
24 tubes   24. is the answer
Answer: A
What is 2 2/3 - 1 1/4 divided by 1/4 - 1/6 ?  Choose the correct option.
A) 17/36 B) 36/17 C) 17/6 D) 17/1 E) 51/4

Solution: 2 2/3 - 1 1/4 = 8/3 - 5/4 = (32 - 15 )/12 = 17/12   1/4 - 1/6 = (6-4)/24 = 2/24 = 1/12   So 17/12/1/12 = 17/12 * 12= 
17/12 * 12 = 17
17/1   Answer - 17/1
Answer: D
X and Y started a business in partnership investing Rs. 8,000 and Rs. 12,000 respectively. After nine months, Z joined them with Rs. 20,000. What will be Z's share in total profit of Rs. 20,000 earned at the end of 3 years from the starting of the business? Choose the correct option:
A) Rs. 8,751	B) Rs. 8,571	C) Rs. 9,751	D) Rs. 9,571	E) None

Solution: Solution: X : Y : Z = (8,000 * 36) : (12,000 * 36) : (20,000 * 27) = 8 : 12 : 15.   So B's share = Rs. (20000 * 15/35) = Rs. 8,571.   Answer: Option Rs. 8,571
Answer: B
In Kaya's teacher's desk there are 24 pink highlighters, 28 yellow highlighters, and 25 blue highlighters. How many highlighters are there in all?
Choose the correct option:  A) 11  B) 22  C) 77  D) 33  E) 88

Solution: Add the numbers of highlighters.   24 + 28 + 25= 
24 + 28 + 25 = 77
77.   Answer is 77.
Answer: C
Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is?
Select the correct option.
A) 48  B) 9  C) 7  D) 67  E) 15

Solution: :   Relative speed = 60 + 90= 
60 + 90 = 150
150 km/hr.= 150 * 5/18 = 125/3 m/sec.   Distance covered = 1.10 + 0.9= 
1.10 + 0.9 = 2
2 km= 2000 m.   Required time = 2000 * 3/125= 
2000 * 3/125 = 48
48 sec.   48nswer: 48
Answer: A
A train running at the speed of 54 km/hr crosses a pole in 9 seconds. What is the length of the train?  Choose the correct choice from the following choices.
A) 140 B) 135 C) 150 D) 170 E) 160

Solution: Speed=(54x5/18)m/sec = 15 m/sec.   Length of the train = (Speed x Time).   Length of the train = (15 x 9)m = 135 m.   Answer is 135.
Answer: B
The simple interest accrued on an amount of Rs.49500 at he end of three is Rs.17820. What would be the compound interest accured on the same amount at teh same rate in the same period? (Round off your answer to two decimal places?	Choose the correct choice from the following answers:
A) Rs.20043.94 B) Rs.20043.99 C) Rs.20043.91 D) Rs.20043.92 E) Rs.20044.94

Solution: Let the rate of interest be R% p.a.   (49500)(3)(R)/100 = 17820   495R = 5940   R = 12   CI on Rs.49500 at 12% p.a. for three years   = 49500{[1 + 12/100]3 - 1} = 69543.936 - 49500 = Rs.20043.94   when rounded off to two decimal places.   Rs.20043.94nswer:Rs.20043.94
Answer: A
Kim can walk 4 kilometers in one hour. How long does it take Kim to walk 18 kilometers? Answers:
A) 2 hours and 30 minutes.
B) 6 hours and 30 minutes.
C) 5 hours and 30 minutes.
D) 3 hours and 30 minutes.
E) 4 hours and 30 minutes.

Solution: The time it takes Kim to walk 18 kilometers is equal to     18 / 4= 
  18 / 4 = 9/2 = around 4.5
4.5 hours= 4 hours + 0.5 ? 60 minutes   = 4 hours and 30 minutes.   correct answer 4 hours and 30 minutes.
Answer: E
If T is a negative integer and K is a positive integer, which of the following could be the standard deviation of a set {-7, -5, -3, T, 0, 1, 3, K, 7}?
I. -1.5
II. -2
III. 0
Choose the correct choice from the following choices: A) I only B) II only C) III only D) I and III only E) None

Solution: The answer should be T (E) as S.D cannot be negative. It is only 0 if all numbers in the set are equal, which is not the case either..None
Answer: E
The average of five integers is 60, and none of these integers is greater than 100. If the average of three of the integers is 65, what is the least possible value of one of the other two integers?  Choose the correct answer:
A) 5	B) 15	C) 20	D) 21	E) 30

Solution: When it comes to averages, we know thataverage value = (sum of n values)/n   We can rewrite this into a useful formula:sum of n values = (average value)(n)   The average of five integers is 60   So, the sum of ALL 5 integers = (60)(5) =300   The average of three of the integers is 65   So, the sum of the 3 integers = (65)(3) =195   So, the sum of the 2 REMAINING integers =300-195= 
300-195 = 105
105   If the sum of the 2 REMAINING integers=105, and we want to minimize one value, we must MAXIMIZE the other value.   100 is the maximum value so let 1 integer = 100, which means the other must equal 5   5nswer: 5
Answer: A
At Joes Steakhouse the hourly wage for a chef is 20% greater than that of a dishwasher, and the hourly wage of a dishwasher is half as much as the hourly wage of a manager. If a managers wage is $8.50 per hour, how much less than a manager does a chef earn each hour?  Choose the correct choice:	A) $1.40	B) $2.40	C) $3.40	D) $4.40	E) $5.40

Solution: Manager wages per hour = $8.50   Dishwasher wages per hour = half of manager's wages. = 1/2($8.50) ==> $4.25   $3.40hef wages per hour = 20% greater than Dishwasher wages   --> 20% of $4.25 = (20*($4.25)) /100   --> ($85)/100   --> $0.85   Therefore,   $3.40hef wages per hour = $4.25 + $0.85 ==> $5.10   Difference of wages between manager and chef = $8.50 - $5.10 ==> $3.40   ANSWER:$3.40
Answer: C
If y exceeds x by 25%, then x is less than y by?  Choose the most appropriate option:	A) 21%	B) 29%	C) 20%	D) 80%	E) 24%

Solution: X=100	y=125   125--------25   100--------? => 20%   Answer:20%
Answer: C
A group of 7 friends are having lunch together. Each person eats at least 3/4 of a pizza. What is the smallest number of whole pizzas needed for lunch?  Choose the most appropriate option
A) 2
B) 3
C) 4
D) 5
E) 6

Solution: If each person eats at least 3/4 of a pizza, then the 7 will eat at least.   7 * (3 / 4) = 21 / 4 = 5 + 1/4   At least 6 pizzas are needed for lunch   correct answer 6
Answer: E