MU-NLPC/Calc-aqua_rat huggingface dataset:
Set Q consists of the following five numbers: Q = {7, 8, 13, 21, 34}. Which of the following sets has the same standard deviation as Set Q?
I. {35, 38, 43, 51, 64}
II. {10, 16, 26, 42, 68}
III. {46, 59, 67, 72, 75} Choose the correct choice from the following options
A) I only  B) III  C) IIII  D) IIIII  E) I, II,III

Solution: (1)	Multiplying all the numbers change Standard Deviation   (2)	Adding and subtracting all the numbers with the same number keeps the standard deviation same.   If you observe Set I and III are added versions of Set Q .   Set I: 5 has been added to the Set Q   Set III: Subtract each element from 80 and you would find a number there in the Set Q.   Set II: elements are multiplied by 2 and standard deviation changes.   Hence the answer is I only.
Answer: A
A dealer owns a group of station wagons and motorcycles. If the number of tires (excluding spare tires) on the vehicles is 30 more than twice the number of vehicles, then the number of station wagons the dealer owns is Choose the correct choice from the following:
A) 10
B) 15
C) 20
D) 30
E) 45

Solution: Assume X station wagons, Y motorcycles   Framing the equation.   2(X+Y)+30 = 4X + 2Y   => X = 15   ANSWER:15
Answer: B
What is the different between the place value and face value of 3 in the numeral 1375?  Choose the correct choice from the following answers.
A) 280 B) 289 C) 297 D) 300 E) 310

Solution: place value of 3 = 3 * 100= 
3 * 100 = 300
300   face value of 3= 3   300 - 3= 
300 - 3 = 297
297   297)
Answer: C
If 4a = 5b = 30, then 40ab = Choose the correct option
A) 900
B) 1800
C) 2250
D) 1650
E) 1250

Solution: 4a * 5b = 30 * 30= 
30 * 30 = 900
900   20 ab= 900   i.e. 30 ab = 1800   Answer: Option 1800
Answer: B
In a room filled with 5 people, 3 people have exactly 2 siblings in the room and 2 people don't have any siblings in the room. If two individuals are selected from the room at random, what is the probability that those two individuals are NOT siblings?  Select the correct option:	A) 3/5	B) 4/5	C) 3/10	D) 7/10	E) 9/10

Solution: The 5 people consist of one set of 3 siblings and 2 other people who are not siblings.   The number of ways to choose 2 people is 5C2 = 10.   The number of ways to choose 2 from the group of siblings is 3C2 = 3.   The number of ways to choose 2 people who are not siblings is   10-3= 
  10-3 = 7
7.   P(the two people are not siblings)= 7/10   The answer is 7/10.
Answer: D
A and B started a business with initial investments in the ratio 12 : 3, after some months B withdrawn his investment, and their share in the annual profits were in the ratio 8 : 7. Then how long B was in the business ?  Choices:
A) 42 months  B) 8 months  C) 9 months  D) 5 months  E) 7 months

Solution: Let Sumit in the business for ‘a’ months.   Investment Ratio Amit to Sumith = 12:3   Profit sharing ratio = 8 : 7.   Amit is in the business for 12 months.   Then Sumit in the business for   (12 × 12) / (3 × a) = 8 / 7 => 24a = 1008 or   a = 1008 / 24= 
1008 / 24 = 42
42 or 42 months   Option 42 months
Answer: A
What is the perimeter of a square field whose diagonal is 8√2?
Choose the correct choice:
A) 33
B) 32
C) 88
D) 99
E) 221

Solution: 4a = 32 m   Answer: 32
Answer: B
What are the last two digits of 5in2007th ?  Select:
A) 75
B) 65
C) 55
D) 25
E) 05

Solution: Just keep track of the last two digits of the consecutive powers of 5 and note   that 5-2round- = 25 and 5 × 25 = 125.   correct answer 25
Answer: D
The length of a rectangular floor is more than its breadth by 200%. If Rs. 324 is required to paint the floor at the rate of Rs. 3 per sq m, then what would be the length of the floor?
Choose the correct option
A) 16  B) 13  C) 18  D) 11  E) 19

Solution: Let the length and the breadth of the floor be l m and b m respectively.   l = b + 200% of b = l + 2b = 3b   Area of the floor = 324/3= 
324/3 = 108
108 sq m   l b= 108 i.e., l * l/3 = 108   l2 = 324 => l = 18.   Answer: 18
Answer: C
In Orange County one sixth of the people are gathering mushrooms and one seventh of the people are collecting apples. What can be the number of people in Orange County?
Select the correct option:  A) 60.  B) 42.  C) 85.  D) 140.  E) 252.

Solution: The number must be an integer and multiple of both 6 and 7.   Only option 42. fulfill this condition and hence is the answer.
Answer: B
Pipe A can empty a tank in 12 hrs and pipe B can empty it in 24 hrs. If both the pipes are opened to empty in the fully filled tank . In how many hours will it be emptied tank?
Choose the correct choice from the following:
A) 6
B) 7
C) 8
D) 9
E) 10

Solution: Part emptied A in 1 hr= (1/12)   Part emptied B in 1 hr= (1/24)   Part emptied by (A+B) together in 1 hr=(1/12)+(1/24)=1/8   So, The tank will be empty in 8 hrs   Answer : 8
Answer: C
Sum of two numbers is 25 and their difference is 13. Find their product.	Pick one
A) 104
B) 108
C) 114
D) 124
E) 142

Solution: Explanation:   Friends, this sort of question is quite important in competitive exams, whenever any question come which have relation between sum, product and difference, this formula do the magic:   =>(x+y)2=(x−y)2+4xy   <=>(25)2=(13)2+4xy   <=>4xy=(25)2−(13)2   <=>xy=456/4= 
456/4 = 114
114   Option 114
Answer: C
Of the families in City X in 1998, 20 percent owned a personal computer. The number of families in City X owning a computer in 2002 was 40 percent greater than it was in 1998, and the total number of families in City X was 8 percent greater in 2002 than it was in 1998. what percent of the families in City X owned a personal computer in 2002?  Choose the correct choice from the following:  A) 49.66%  B) 52.66%  C) 28.22%  D) 33.33%  E) 25.92%

Solution: Say a 100 families existed in 1998 then the number of families owning a computer in 1998 - 20   Number of families owning computer in 2002 = 20 * 140/100= 
20 * 140/100 = 28
28   Number of families in 2002= 108   The percentage = 28/108 * 100 = 25.92%.   ANSW25.92%R:25.92%
Answer: E
What is the remainder when 617 + 1176 is divided by 7?  Choices:  A) 1  B) 2  C) 3  D) 4  E) 5

Solution: 617 + 1176 mod 7   => 617%7 + 1176%7   => 1 + 0= 
1 + 0 = 1
> 1%7=> 1   1NSWER:1
Answer: A
If the average of ten numbers is 50, then which of the following could be the standard deviation of the ten numbers?
I. 0
II. 10
III. 50 Pick one:
A) I  B) II  C) III  D) all three options  E) I&II

Solution: We know that we have 10 numbers (and they could be ANY values - including negatives and non-integers) and we know that the average of those numbers is 10. This is meant to say that there are an INFINITE number of possible sets of 10 numbers that fit this prompt.   IF all ten numbers were the same (meaning that we had ten 10s), then the SD would be 0. The more 'spread out' those ten numbers get, the higher the SD becomes. Since there's no limit to the 'spread', then there's no limit to what the SD could be either. Thus, it could be 10 or 20 or any other number.   all three options
Answer: D
The ratio of two numbers is 2:3 and the sum of their cubes is 945. The difference of number is? Choose the correct choice: A) 3 B) 4 C) 6 D) 7 E) 8

Solution: 2x 3x   8x cube + 27x cube = 945   35x cube = 945   x cube = 27 => x = 3   3nswer:3
Answer: A
If a and b are positive integers, and a=20b-15, the greatest common divisor of a and b CANNOT be Choose the correct choice from the following answers:
A) 1	B) 3	C) 18	D) 15	E) 5

Solution: If b is 1, 3, 5, or 15, then GCD of a and b is 1, 3, 5, and 15 respectively. So, by POE the answer must be C.   Still: if b is a multiple of 18, then a is 15 smaller than a multiple of 18, so not a multiple of 18, so both of them cannot be divisive by 18.   Answer: 18.
Answer: C
If an article with marked price of $600 is sold at successive discount of 10%,25% and 15%,what is the price the customer has to pay? Choose the correct answer:
A) 360  B) 300  C) 230  D) 342  E) 320

Solution: discount=0.9*.75*.85=.57   so .57*600= 
.57*600 = 342
342   ANSWER:342
Answer: D
The bus that travels from St. Louis to Chicago and back comes to St. Louis every 4 hours while the bus that travels from St. Louis to Springfield and back comes to St. Louis every 6 hours. If at 12:00 o'clock both bused arrived at St. Louis, at what time will they meet in St. Louis again? Choose the correct choice.
A) 16:00. B) 18:00 C) 20:00 D) 22:00. E) 24:00.

Solution: Time taken by bus to travel from St. Louis to Chicago and back comes to St. Louis = 4 hours   Time taken by bus to travel from St. Louis to Springfield and back comes to St. Louis = 6 hours   Time taken by both buses to meet again in St. Louis will be LCM of 4 and 6 = 12   If the buses start at 12:00 o'clock from St. Louis , they will meet again in St. Louis at 24:00 hours   Answer 24:00.
Answer: E
If x > 0, x/25 + x/20 is what percent of x?  Choose one
A) 5%	B) 25%	C) 37 1/2%	D) 60%	E) 75 %

Solution: Just plug and chug. Since the question asks for percents, pick 100. (but any number will do.)   100/25 + 100/20= 4+5= 
4+5 = 9
9   9 is 9% of 100=5%.
Answer: A
If a is an integer greater than 2 but less than 7 and b is an integer greater than 4 but less than 13, what is the range of a/b?	Select:
A) 23/34
B) 57/60
C) 51/67
D) 19/71
E) 75/64

Solution: The way to approach this problem is 2<a<7 and 4<b<13   Minimum possible value of a is 3 and maximum is 6   Minimum possible value of b is 5 and maximum is 12   Range = max a/min b - min a/max b   (Highest - lowest)   6/5 - 3/12 = 57/60   Hence 57/60
Answer: B
The sides of a triangle are in the ratio 5: 12: 13 and its perimeter is 300 m, its area is? Pick one
A) 150
B) 377
C) 297
D) 266
E) 971

Solution: 5x + 12x + 13x = 300 => x = 10   a = 50, b = 120, c = 130   S = (50 + 120 + 130)/2= 
(50 + 120 + 130)/2 = 150
150   150nswer: 150
Answer: A
A merchant marks his goods up in such a way that the profit made on selling 30 articles is equal to the cost price of 20 articles. What is the T % profit made by the merchant? Choices:	A) 66.67 %	B) 50 %	C) 200 %	D) 100 %	E) 33.33 %

Solution: C.P of 1 article= $30(say)   C.P of 20 articles=30*20= 
30*20 = 600
$600   Now, C.P of 20 articles=Profit on 30 articles   Therefore, profit on 1 article=$600/30= 
600/30 = 20
$20   Profit T%=(20/30)*100=66.67%   66.67 %nswer 66.67 %
Answer: A
Two cars P and Q start at the same time from A and B which are 120 km apart. If the two cars travel in opposite directions, they meet after one hour and if they travel in same direction (from A towards B), then P meets Q after 6 hours. What is the speed of car P? Choose the correct choice from the following:
A) 60 km/hr  B) 70 km/hr  C) 120 km/hr  D) Data inadequate  E) None of these

Solution: Let their speed be x km/hr and y km/he respectively.   Then, 120/(x + y) = 1 => x + y = 120 --- (i)   Now, when they move in same direction:   (Distance traveled by P in 6 hrs) - (Distance traveled by Q in 6 hrs) = 120 km   6x - 6y = 120 => x - y = 20 --- (ii)   Sloving (i) and (ii), we get x = 70, y = 50   P's speed = 70 km/hr.   ANSWER:70 km/hr
Answer: B
Two heavily loaded sixteen-wheeler transport trucks are 940 kilometers apart, sitting at two rest stops on opposite sides of the same highway. Driver A begins heading down the highway driving at an average speed of 90 kilometers per hour. Exactly one hour later, Driver B starts down the highway toward Driver A, maintaining an average speed of 80 kilometers per hour. How many kilometers farther than Driver B, will Driver A have driven when they meet and pass each other on the highway?  Select the correct option:
A) 90
B) 130
C) 150
D) 140
E) 450

Solution: I've been reading the website for a while and I'm always keen to see different approaches so I would like to share one that works for me:   Short version:   Truck A travels for an hour.   140istance remaining = 940-90= 
940-90 = 850
850k   Ratio of speeds 9:8 -> 850/17= 50   Truck A = 90 + 50*9= 
90 + 50*9 = 540
540   Truck B= 50*8= 
50*8 = 400
400   140elta= 140km   Answer 140
Answer: D
A man complete a journey in 10 hours. He travels first half of the journey at the rate of 20 km/hr and second half at the rate of 20 km/hr. Find the total journey in km.
Pick one:  A) 220 km  B) 224 km  C) 230 km  D) 232 km  E) 200 km

Solution: 0.5x/20 + 0.5x/20 = 10   --> x/20 + x/20 = 20   --> 2x = 20 x 20   --> x = (20x20)/2 = 200 km.   Answer : 200 km.
Answer: E
A type of extra-large SUV averages 12.2 miles per gallon (mpg) on the highway, but only 7.6 mpg in the city. What is the maximum distance, in miles, that this SUV could be driven on 21 gallons of gasoline?
Select:
A) 190
B) 284.6
C) 300
D) 256
E) 312

Solution: so 12.2 * 21 = 256..   IMO option 256 is correct answer..
Answer: D
What is the difference between the place value and face value of 4 in the numeral 46?
Choose the correct choice:
A) 36
B) 45
C) 52
D) 44
E) 39

Solution: Difference between the place value and face value of 4 = 40- 4= 
40- 4 = 36
36   36nswer is 36
Answer: A
Which of the following are roots of an equation (x^-2)+(x^-1)-20=0 Choose the correct choice from the following choices.
A) 1/5 and -1/4  B) -1/5 and 1/4  C) 1/5 and 1/4  D) -1/5 and -1/4  E) -5/2 and -1/4

Solution: Given: (x^-2) + (x^-1) - 20 = 0   Rewrite as: 1/(x²) + 1/x - 20 = 0   Remove fractions by multiplying both sides by x² to get: 1 + x - 20x² = 0   Rearrange to get: 20x² - x - 1 = 0   Factor to get: (5x + 1)(4x - 1) = 0   So, EITHER 5x + 1 OR 4x - 1 = 0   If 5x + 1 = 0, then x = -1/5   If 4x - 1 = 0, then x = 1/4   So, the roots (solutions) are -1/5 and 1/4   The answer is -1/5 and 1/4.
Answer: B
Three pipes of same capacity can fill a tank in 8 hours. If there are only two pipes of same capacity, the tank can be filled in?
Options
A) 17 hours B) 12 hours C) 18 hours D) 10 hours E) 97 hours

Solution: The part of the tank filled by three pipes in one hour   = 1/8   => The part of the tank filled by two pipes in 1 hour   = 2/3 * 1/8 = 1/12.   The tank can be filled in 12 hours.   Answer:12 hours
Answer: B
A librarian has a set of eleven books, including four different books about Abraham Lincoln. The librarian wants to put the eleven books on a shelf with the four Lincoln books next to each other, somewhere on the shelf among the other seven books. How many different arrangements of the eleven books are possible? Choose the correct choice:	A) (11!)/(4!)	B) (4!)(7!)	C) (4!)(8!)	D) (4!)(11!)	E) (4!)(7!)(11!)

Solution: You can club the four Lincoln books as one, which leaves us with seven other books plus this one to think about. So, these eight items can be arranged in 8! ways, and since the four books can be moved around among themselves with each combination giving us a new overall combination, we have an additional 4! ways. Therefore, the answer would be 8!*4!, which is (4!)(8!).
Answer: C
If the cost price of 26 apples is equal to the selling price of 20 apples, the gain percent is	Select the correct option
A) 25
B) 30
C) 35
D) 40
E) 45

Solution: Let C.P. of each apple be Re. 1.   Then, C.P. of 20 apples = Rs. 20; S.P. of 20 apples = Rs. 26.   Gain % = 6/20 * 100= 
6/20 * 100 = 30
30%   Answer:30
Answer: B
julie put half of her savings in a savings account that pays an annual simple interest and half in a savings account that pays an annual compound interest. After two years she earned $120 and $126 from the simple interest account and the compound interest account respectively. If the interest rates for both accounts were the same, what was the amount of Julie's initial savings? Choices
A) 600	B) 720	C) 1080	D) 1200	E) 1440

Solution: $120 for 2 years = $60 per year.   Extra $6 yearned with the compound interest is the percent yearned on percent. So, $6 is yearned on $60, which means that the interest = 10%.   This on the other hand means that half of the savings = 60*10= 
60*10 = 600
$600. Twice of that= $1,200.   Answer: 1200.
Answer: D
Weights of two friends Ram and Shyam are in the ratio 2:5. If Ram's weight is increased by 10% and total weight of Ram and Shyam become 82.8 kg, with an increases of 15%. By what percent did the weight of Shyam has to be increased?
Pick:	A) 17%	B) 10%	C) 21%	D) 16%	E) None

Solution: Solution:   given ratio of Ram and Shayam's weight = 2:5   Hence, (x-15)/(15-10) = 2/5   Or, x = 17%.   17%nswer: Option 17%
Answer: A
A cubical block of metal weighs 8 pounds. How much will another cube of the same metal weigh if its sides are twice as long?
Pick one
A) 48	B) 32	C) 24	D) 18	E) 64

Solution: For example our cube have a side 1 meter, so we have 1 cubical meter in this cube   and this cubical meter weigth 6 pounds   If we take cube with side 2 meters we will have 8 cubical meters in this cube   8 meters * 8 pounds = 64 pounds   So answer is 64   And similar but more theoretical approach:   if we have sides a and b than they have equal ration with their areas:   a/b = a^2/b^2   and they have equal ration with their volumes:   a/b = a^3/b^3   we have two sides 1/2 so their volume will be in ratio 1/8   weight of one cube * volume of another cube     8 * 8= 
  8 * 8 = 64
64   So answer is 64
Answer: E
Of the 500 people attending a conference, 240 have signed up for the Marketing workshop and 400 have signed up for the Accounting workshop. If 80 of the people attending did not sign up for either workshop, then the number of people who signed up for both the Marketing and the Accounting workshops is:	Pick:
A) 170
B) 220
C) 250
D) 275
E) 300

Solution: Since the information in the prompt refers to the 'standard' 5 groups, you can use the Overlapping Sets Formula to get to the solution:   Total = Gp.1 + Gp.2 - 220oth + Neither   500 = 240 + 400 - 220oth + 80   500 = 720 - 220oth   220oth = 220   Final Answer:   220
Answer: B
If each data point in a certain set Q is increased by a factor of 9, what happens with the set's standard deviation?  Choices:	A) Doesn't Change	B) Increases by Factor 9	C) Decreases by Factor 9	D) Increases by 9	E) Can't be determined

Solution: Standard deviation questions will always be conceptual in nature, because the GMAT does not require that you be able to calculate standard deviation.Veritasteaches a concept known as themapping strategyfor data sufficiency, which helps make a problem like this easily understandable. The mapping strategy is just looking at data sufficiency with sets of numbers like you would look at a map. Moving left and right on the map does not change the map's scale (which represents standard deviation in this analogy), just as adding or subtracting the same value in all numbers of a set does not change that set's standard deviation. For example, the set: 2, 5, 8, 11 has the same standard deviation of that same set after adding 5 to each number: 7, 10, 13, 16. Multiplying and dividing the entire set by a number other than 1, however, does affect standard deviation, and it does so proportionately. Multiplying by a number with an absolute value greater than 1 is like zooming in on a map...the standard deviation increases. Consider that same set multiplied by 2: 4, 10, 16, 22....this has a larger standard deviation than 2, 5, 8, 11. The opposite goes for division - dividing each number in a set of numbers by a number with an absolute value greater than 1 will reduce standard deviation, like zooming out on a map reduces the map's scale. Here because each number was multiplied by a factor of 9, the standard deviation will increase proportionately, giving us answer choice Increases by Factor 9
Answer: B
Each truck from Rubins Removal Company can haul 1500 pounds of trash at a time.
On Wednesday the company has jobs to remove 10,500 pounds of trash from one
site, 500 from another site, and 4,000 from a third site. How many total pounds of
trash will be moved by Jones Company that day? How many trips will it take for the
Jones Company to remove all of the trash?	Choices:
A) 5500 lbs.-2 Trips
B) 4500 lbs.-9 Trips
C) 15000 lbs.-10 Trips
D) 3500 lbs.-7 Trips
E) 6500 lbs.-8 Trips

Solution: Total trash = 10500+500+4000= 
10500+500+4000 = 15_000
15000   No. of trips= 15000/1500= 
15000/1500 = 10
10   Answer : 15000 lbs.-10 Trips
Answer: C
Find the compound interest and the amount on Rs.8000 at 5% per annum for 3 years when C.I is reckoned yearly? Choose the correct answer:
A) Rs.1261
B) Rs.1440
C) Rs.1185
D) Rs.1346
E) Rs.1400

Solution: Explanation:   Rs.1261 = 8000(21/20)3   = 9261   = 8000   ---------   1261   Rs.1261nswer IS Rs.1261
Answer: A
A shirt goes on sale for 90% of its original price. One week later, the sale price is marked down 10%. The final price is what percent of the original price?	Choose the correct answer.
A) 72%  B) 81%  C) 52%  D) 50%  E) 28%

Solution: Just assume original price is 100.   Sale price = 90   Then it is marked down by 10% = 90-9= 
90-9 = 81
81.   Hence it is 81% od the original price. Hence answer is 81%.
Answer: B
John started a business, investing Rs.18000. After 3 months and 4 months respectively, Rose and Tom joined him with capitals of 12000 and 9000. At the end of the year the total profit was Rs.4202. What is the difference between Rose ’s and Tom ’s share in the profit?	Select.
A) s.340 B) s.362 C) s.370 D) s.382 E) s.390

Solution: John : Rose : Tom   Ratio of their investments = 18000 × 12 : 12000 × 9 : 9000 × 8   = 6 : 3: 2   The difference between Rose’s and Tom’s share = 1 share   :.i.e. = Rs. 4202 × 1/11 = Rs.382.   s.382)
Answer: D
A Fruit store sells four varieties of Mangoes. A,B,C & D. IF A Costs 20% less than B, and C costs 25% less than A,and D costs 20% less than C what percent of B's cost is D?
Choose the correct choice from the following answers
A) 40% B) 38% C) 44% D) 36% E) 48%

Solution: Soln:-   B=100   A 20% less than B = 80   C 25% less than A = 60   D 20% less than C = 48   D is what percent of B = D/B * 100   = 48/100 * 100= 
48/100 * 100 = 48
48%   ANSW48%R:48%
Answer: E
The average expenditure of a labourer for 7 months was 85 and he fell into debt. In the next 4 months by reducing his monthly expenses to 60 he not only cleared off his debt but also saved 30. His monthly income is	Choose the most appropriate option:
A) 70.11
B) 72.02
C) 86.5
D) 78.2
E) None of the above

Solution: Income of 7 months = (7 × 85) – debt   = 595 – debt   Income of the man for next 4 months   = 4 × 60 + debt + 30   = 270 + debt   ∴ Income of 10 months = 865   Average monthly income = 865 ÷ 10 = 86.5   Answer 86.5
Answer: C
A is a set containing 8 different numbers. B is a set containing 7 different numbers, all of which are members of A . Which of the following statements CANNOT be true? Choose the correct answer:
A) The range of A is less than the range of B.
B) The mean of A is greater than the mean of B .
C) The range of A is equal to the range of B.
D) The mean of A is less than the mean of B.
E) The mean of A is equal to the mean of B.

Solution: The range of a set is the difference between the largest and smallest elements of a set.   So, the answer is straight A: the range of a subset cannot be more than the range of a whole set: how can the difference between the largest and smallest elements of a subset bemorethan the difference between the largest and smallest elements of a whole set.   As for D:   Consider set A to be {-3, -2, -1, 0, 1, 2, 3, 4} --> mean=0.5.   (D) The mean of R is less than the mean of B--> remove the smallest term -3, then the mean of Bwill be 1, so more than 0.5. The range of A is less than the range of B.NSWER IS The range of A is less than the range of B.
Answer: A
How many figures are required to number the pages the pages of a book containing 365 pages?
Choose the correct choice from the following choices:	A) 987	B) 977	C) 967	D) 897	E) 997

Solution: 1 to 9 = 9 * 1= 
9 * 1 = 9
9   10 to 99= 90 * 2= 
90 * 2 = 180
180   100 to 365= 266 * 3= 
266 * 3 = 798
798   -----------   987   987NSWER:987
Answer: A
Kramer can pack X boxes of cigarettes per minute. If there are Y boxes of cigarettes in one case, how many cases can Kramer pack in 4 hours?	Choose the correct choice from the following choices.
A) 240X/Y.
B) 120X/Y.
C) 60Y/X.
D) 120Y/X.
E) (X + Y)/60.

Solution: Kramer can pack X boxes per min.   Therefore in 4 hrs(240mins)he can pack 240X boxes.   If there are Y boxes in one case then then the total number of cases packed by Krame (240X/Y.NSWER 240X/Y.)
Answer: A