MU-NLPC/Calc-aqua_rat huggingface dataset:
In a recent election, Geoff received 15 percent of the 6,000 votes cast. To win the election, a candidate needed to receive more than x% of the vote. If Geoff needed exactly 3,571 more votes to win the election, what is the value of x ?  Choose the correct choice
A) 74.5
B) 54
C) 56
D) 60
E) 63

Solution: Word problems are tricky in somehow more than other problem because you have the additional step to translate.   Breaking the problem: Geoff how many votes he receives ?? 900 votes   he needs 3571 more votes so :   900+3571= 
  900+3571 = 4_471
4471   Now what's the problem wants ?? a x %........4471 is what % of total votes 6000........translating: 4471= x/100 * 6000 ---   x= 74.5 %..........74.5
Answer: A
How many positive integers less than 6,000 are there in which the sum of the digits equals 5?
Choose the correct choice from the following answers
A) 65 B) 62 C) 61 D) 56 E) 58

Solution: Basically, the question asks how many 4 digit numbers (including those in the form 0XXX, 00XX, and 000X) have digits which add up to 5. Think about the question this way: we know that there is a total of 5 to be spread among the 4 digits, we just have to determine the number of ways it can be spread.   Let X represent a sum of 1, and | represent a seperator between two digits. As a result, we will have 5 X's (digits add up to the 5), and 3 |'s (3 digit seperators).   So, for example:   XX|X|X|X = 2111   ||XXX|XX = 0032   etc.   There are 8C3 ways to determine where to place the separators. Hence, the answer is 8C3 = 56.   56
Answer: D
An old priest fell on a bottom of the well of a church.
The well is 20 inches deep.
At day time, the old priest climbs 5-inches but when at dark he slip back 4 inches.
In how many days priest will come out of the well ?  Choose the correct choice from the following answers
A) 15-days
B) 16-days
C) 17-days
D) 18-days
E) 19-days

Solution: Solution:   16-days   In 15-days, he will climb 15-inch and when he climbs 5 inch more, he will be out of the well   Answer 16-days
Answer: B
A merchant purchased a jacket for $42 and then determined a selling price that equalled the purchase price of the jacket plus a markup that was 30 percent of the selling price. During a sale, the merchant discounted the selling price by 20 percent and sold the jacket. What was the merchant’s gross profit on this sale? Choose the correct choice
A) $0 B) $3 C) $6 D) $12 E) $15

Solution: Actual $6ost = $42   SP = Actual $6ost + Mark up   = Actual $6ost + 30% SP   = 42*100/70   on sale SP = 80/100(42*100/70) = 48   Gross profit = $6   Answer is $6
Answer: C
What is the greater of the two numbers whose product is 2560, given that the sum of the two numbers exceeds their difference by 32? Pick: A) A)90 B) B)100 C) C)160 D) D)70 E) of these

Solution: Let the greater and the smaller number be g and s respectively.   gs = 2560   g + s exceeds g - s by 32 i.e., g + s - (g - s) = 32   i.e., 2s = 32 => s = 16   g = 2560/s = 160.   ANSWER:160
Answer: C
A team scored a total of 84 points. If each player on the team scored at least 14 points, then what is the greatest possible number of players on the team?
Choices:
A) A)6	B) B)7	C) C)8	D) D)9	E) E)10

Solution: 84/14= 
84/14 = 6
6 plus remainder.   The answer is 6.
Answer: A
If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be:  Options:
A) 4 days
B) 5 days
C) 6 days
D) 7 days
E) 9 days

Solution: Explanation:   Let 1 man's 1 day's work = x and 1 boy's 1 day's work = y.   Then, 6x + 8y =	1/10and 26x + 48y =	1/2   Solving these two equations, we get : x =	1/100 and y =	1/200   (15 men + 20 boy)'s 1 day's work =15/100 + 20/200 = 1/4   15 men and 20 boys can do the work in 4 days.   4 daysNSWER IS 4 days
Answer: A
A wildlife preserve is being planned for 5,000 rhinoceroses. The preserve is to contain a total of 10,000 acres of watering area, plus 100 acres of grazing area for each rhinoceros. If the number of rhinoceroses is expected to increase by 10 percent, how many thousand acres should the preserve have in order to provide for the increased population?
Choose the most appropriate option:
A) 340
B) 560
C) 320
D) 310
E) 300

Solution: Number of rhinos = 5000   Watering area = 10,000 acres   Number of rhino to increase by 10 percent ,then number of rhino = 5500   Grazing area for a rhino = 100   Total grazing area for 5500 rhinos= 5500 * 100 = 5,50,000   Total area required for the wildlife preserve = 5,50,000 + 10,000 = 5,60,000 = 560 * 1000   Answer 560
Answer: B
Average expenditure of a person for the first 3 days of a week is Rs. 340 and for the next 4 days is Rs. 420. Average expenditure of the man for the whole week is:
Choose the correct answer.
A) 350 B) 370 C) 380 D) 430 E) None

Solution: Explanation:   Assumed mean = Rs. 340   Total excess than assumed mean = 4 × (Rs. 420 - Rs. 350) = Rs. 280   Therefore, Increase in average expenditure = Rs. 280/7 = Rs. 40   Therefore, Average expenditure for 7 days = Rs. 340 + Rs. 40 = Rs. 380   380orrect Option: 380
Answer: C
Two cars cover the same distance at the speed of 50 and 45 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car?
Pick:
A) 278 B) 277 C) 960 D) 600 E) 261

Solution: 50(x + 1) = 45 x   X = 10   60 * 10= 
60 * 10 = 600
600 km   Answer:600
Answer: D
Out of 15 consecutive numbers, 2 are chosen at random. The probability that they are both odds or both primes is ?  Choose the correct choice from the following answers.
A) 1/8  B) 1/7  C) 1/0  D) 1/2  E) 1/3

Solution: A leap year has 52 weeks and two days   Total number of cases = 7   Number of favourable cases = 1   i.e., {Saturday, Sunday}   Required Probability = 1/7   Answer:1/7
Answer: B
In a queue, Shankar is ninth from the rear end. Althaf's place is eighth from the front. Nitu is standing between the two. What could be the minimum numbers of boys standing in the queue ?	Choose the correct choice from the following answers:
A) 18
B) 14
C) 22
D) 24
E) 26

Solution: Explanation:   1 2 3 4 5 6(Shankar) 7(Nitu) 8(Althaf) 9 10 11 12 13 14   Here, Althaf is 8th from front, Shankar is 9th from rear end and Nitu is between them   So minimum no. of boys standing in the queue = 14   Answer IS 14
Answer: B
At what price must an article costing Rs.47.50 be marked in order that after deducting 20% from the list price. It may be sold at a profit of 25% on the cost price?
Choose the correct choice from the following answers
A) 62.5	B) 62.3	C) 62.7	D) 74.2	E) 62.9

Solution: CP = 47.50   SP = 47.50*(125/100)= 
47.50*(125/100) = 59.375
59.375   MP*(80/100)= 59.375   MP = 74.2   Answer:74.2
Answer: D
In how many different number of ways 5 men and 3 women can sit on a shopa which can accommodate persons?
Choices:  A) 200  B) 210  C) 230  D) 56  E) 270

Solution: 8p2 = 8 X 7 = 56   56)
Answer: D
Two pipes function simultaneously the reservoir will be filled in 12 hours. One pipe fills reservoir 10 hours faster than the other. How many hours does the faster pipe take to fill the reservoir?  Choices:  A) 56  B) 28  C) 20  D) 72  E) 27

Solution: 1/x + 1/(x + 10) = 1/12   x = 20   Answer: 20
Answer: C
A Train usually travels at a speed of 72 kmph crossing a pole in 7 sec, what would be the length of the train?  Select the correct option:
A) 140 m
B) 142 m
C) 146 m
D) 152 m
E) 158 m

Solution: Explanation:   D = 72 * 5/18 * 7= 
72 * 5/18 * 7 = 140
140 m   140 mnswer: Option 140 m
Answer: A
A plane flies 420 miles with the wind and 350 miles against the wind in the same length of time. If the speed of the wind is 23 mph, what is the speed of the plain in still air?
Choose the most appropriate option:
A) 553 mph.	B) 353 mph.	C) 273 mph.	D) 153 mph.	E) 253 mph.

Solution: The speed of the plane in still air = x miles/hour   The speed of the wind is 23 mph   Speed with the wind = (x + 23) mph   Speed against the wind = (x – 23) mph   Time = Distance/ Speed   According to the problem,   420/(x + 23) = 350/(x – 23)   420(x – 23) = 350(x + 23)   420x – 9660 = 350x + 805   420x – 350x = 8050 + 9660   70x = 17710   x = 17710/70= 
17710/70 = 253
253   Therefore, the speed of the plane in still air= 253 mph.   correct answer 253 mph.
Answer: E
A team won 40 percent of its first 30 games in a particular season, and 80 percent of its remaining games. If the team won a total of 60 percent of its games that season, what was the total number of games that the team played? Select.
A) 50 B) 60 C) 70 D) 80 E) 90

Solution: 60% is 20%-points above 40% and 20%-points below 80%.   Thus the ratio of "the first 30 games" to "remaining games" is 1:1.   So the team played a total of 30+30= 
30+30 = 60
60 games.   The answer is 60.
Answer: B
$500 will become $1000 in 3 years find the rate of interest?	Choose the correct option.
A) A)10%
B) B)20%
C) C)25%
D) D)33.33%
E) E)50%

Solution: SI = simple interest = A-P = 1000-500 = $300   R = 100SI/PT = 100*500/500*3 =33.33%   Answer is 33.33%
Answer: D
If M is the mean of x,y,z ; then what is the mean of x+20,y+20 and z+20
Choose the correct choice from the following options:
A) M B) 3M C) 10M D) M+20 E) M-10

Solution: If each number is shifted up by 20, the mean also shifts up by 20 since it stays in the middle. The whole set is shifted on the number line so mean will also shift by the same amount.   So new mean is M + 20.   Answer (M+20)
Answer: D
5 times the side of a square resulted in a parameter of 20x. What is the parameter before it was timed by 5?  Choose the correct answer:  A) 4x  B) 5x  C) 10x  D) 40x  E) 2x

Solution: The new parameter is 5 times the old parameter. The old parameter is therefore 20x/5. This is 4x. 4xnswer option 4x.
Answer: A
Mike and his friend are going on a road trip and hoping to miss traffic. If they are driving at a rate of 6 miles per minute, what is their speed in kilometers per hour? [1km = 0.6 miles]  Pick:
A) 60
B) 30
C) 300
D) 600
E) None of the above

Solution: To calculate the equivalent of kilometres in a mile   6 miles = 6*(0.6)^-1 = 10 kilometres   In 1 hour there are 60 minutes   Speed in kmph = 10 * 60= 
10 * 60 = 600
600   Correct answer - 600
Answer: D
Find the smallest positive integer n such that 11n - 1 is divisible by 105.
Choose the correct choice from the following answers.
A) 3  B) 4  C) 5  D) 6  E) 7

Solution: The last digit of 11n − 1 is 0, so 5 always divides 11n − 1. Also, checking the   remainders when the powers of 11 are divided by 3 and 7 we get that 3 divides 11n −1   exactly when n is even, and 7 divides 11n − 1 exactly when 3 divides n.   correct answer 6
Answer: D
A sum of money placed at C.I. interest doubles itself in 5 years. It will amount to eight times itself at the same rate of interest in?  Choices
A) 22	B) 28	C) 15	D) 18	E) 11

Solution: Explanation:   P(1 + R/100)5 = 2P => (1 + R/100)5 = 2   Let P(1 + R/100)n = 8P   => (1 + R/100)n = 8 = 23 = {(1 + R/100)5}3   => (1 + R/100)n = (1 + R/100)15 => n = 15 Required time = 15 years.   Answer: 15
Answer: C
A and B rent a pasture for 10 months. A put in 80 cows for 7 months. How many can B put in for the remaining 3 months, if he pays half as much again as A?  Choose one
A) 299	B) 297	C) 261	D) 280	E) 172

Solution: 80* 7: x* 3 = 1:1 1/2   560: 3x = 2: 3   x = 280   Answer: 280
Answer: D
What is the greatest possible (straight line) distance, between any two points on a hemisphere of radius 3? Choices
A) 6
B) 0.6
C) n/6
D) 6.2
E) π

Solution: Maximum distance straight line is diameter   d = 2r = 6..   6NS option 6.
Answer: A
Solve the given two equations and find the inequality of X and Y. (a) 225X^2-4 = 0 and (b) (225y)^(1/2) +2 = 0	Choose the correct answer:	A) If x>y	B) If x>=y	C) If x<Y	D) If x<=y	E) x=y or relationship cannot be established

Solution: Solution:-   X= +2/15 and -2/15   Y= 4/225   Comparing we get X>Y and X<y   Hence, no relationship can be established   x=y or relationship cannot be established)
Answer: E
A truck covers a distance of 288 km at a certain speed in 8 hours. How much time would a car take at an average speed which is 18 kmph more than that of the speed of the truck to cover a distance which is 90 km more than that travelled by the truck ?	Choose the correct choice from the following options:	A) 6 hours	B) 5 hours	C) 7 hours	D) 8 hours	E) None

Solution: Explanation :   Speed of the truck = Distance/time = 288/8= 
288/8 = 36
36 kmph   Now, speed of car= (speed of truck + 18) kmph = (36 + 18)= 
(36 + 18) = 54
54 kmph   Distance travelled by car= 288 + 90= 
288 + 90 = 378
378 km   Time taken by car= Distance/Speed = 378/54= 
378/54 = 7
7 hours.   Answer –7 hours
Answer: C
A snail, climbing a 20 feet high wall, climbs up 8 feet on the first day but slides down 4 feet on the second. It climbs 8 feet on the third day and slides down again 4 feet on the fourth day. If this pattern continues, how many days will it take the snail to reach the top of the wall?  Choose the correct choice from the following
A) 7	B) 16	C) 17	D) 20	E) 21

Solution: total transaction in two days = 8-4= 
8-4 = 4
4 feet   in 7 days it will climb 20 feet   thus reaching the top   therefore , total no of days required=7   7
Answer: A
The average of 6 observations is 13. A new observation is included and the new average is decreased by 1. The seventh observation is?  Select the correct option:  A) 1  B) 3  C) 5  D) 6  E) 7

Solution: Let seventh observation = X.   Then, according to the question we have   => (78 + X) / 7 = 12   => X = 6.   Hence, the seventh observation is 6.   ANSWER:6
Answer: D
Two trains are moving in the same direction at 72 kmph and 36 kmph. The faster train crosses a man in the slower train in 15 seconds. Find the length of the faster train? Answers.
A) 270  B) 277  C) 187  D) 257  E) 150

Solution: Relative speed = (72 - 36) * 5/18 = 2 * 5= 
2 * 5 = 10
10 mps.   Distance covered in 15 sec= 15 * 10= 
15 * 10 = 150
150 m.   The length of the faster train= 150 m.   Answer: 150
Answer: E
The area of sector of a circle whose radius is 12 metro and whose angle at the center is 39° is?	Choices: A) 40m2 B) 45m2 C) 49m2 D) 51m2 E) 55m2

Solution: 39/360 * 22/7 * 12 * 12   = 49m2   Answer:49m2
Answer: C
The ratio between the present ages of A and B is 5:3 respectively. The ratio between A's age 4 years ago and B's age 4 years hence is 1:1. What is the ratio between A's age 4 years hence and B's age 4 years ago?	Choose the correct choice from the following answers
A) 3:4
B) 3:0
C) 3:1
D) 3:2
E) 3:7

Solution: Let the present ages of A and B be 5x and 3x years respectively.   Then, (5x - 4)/(3x + 4) = 1/1   2x = 8 => x = 4   Required ratio = (5x + 4):(3x - 4) = 24:8 = 3:1.Answer: 3:1
Answer: C
c can run a kilometer race in 4 1/2 min while d can run same race in 5 min. How many meters start can c give d in a kilometer race, so that the race mat end in a dead heat?
Choose the correct answer
A) m	B) m	C) m	D) m	E) m

Solution: c can give d (5 min - 4 1/2 min) = 30 sec start.   The distance covered by d in 5 min = 1000 m.   Distance covered in 30 sec = (1000 * 30)/300= 
(1000 * 30)/300 = 100
100 m.   c can give d 100m start.   ANSWER:m
Answer: D
A marketing firm determined that, of 200 households surveyed, 80 used neither Brand E nor Brand B soap, 60 used only Brand E soap, and for every household that used both brands of soap, 3 used only Brand B soap. How many of the 200 households surveyed used both brands of soap?	Pick one:	A) 15	B) 20	C) 30	D) 40	E) 45

Solution: SOLUTION FOR SOAP E AN40 SOAP B   (40) 40
Answer: D
A customer pays 40 dollars for a coffee maker after a discount of 20 dollars
What is the original price of the coffe maker?
Choose the most appropriate option.
A) 50	B) 40	C) 70	D) 60	E) 20

Solution: Let x be the original price.   x - 20 = 40   x - 20 + 20 = 40 + 20   x + 0 = 60   x = 60   Answer is 60
Answer: D
The speed of a train is 90 kmph. What is the distance covered by it in 20 minutes?  Choose the most appropriate option:	A) 15	B) 66	C) 77	D) 30	E) 42

Solution: 90 * 20/60= 
90 * 20/60 = 30
30 kmph   Answer:30
Answer: D
In a sequence of 42 numbers, each term, except for the first one, is 7 less than the previous term. If the greatest term in the sequence is 281, what is the smallest term in the sequence?  Choose the correct choice from the following answers
A) 2  B) -2  C) 0  D) 8  E) -6

Solution: Which term is the greatest? The first or the last? It is given to you that every term is 7 less than the previous term. Hence as you go on, your terms keep becoming smaller and smaller. The first term is the greatest term.   An = 281 + (42 - 1)*(-7)   An = 281 - 287 = -6   -6
Answer: E
A tour group of 25 people paid a total of $735 for entrance to a museum. If this price included a 5% sales tax, and all the tickets cost the same amount, what was the face value of each ticket price without the sales tax?
Choices Choose the correct choice
A) $22 B) $23.94 C) $28 D) $25.20 E) $30

Solution: Soln:-   735/25=x+0.05x   735/25=1.05x   x=28   ANSWER:$28
Answer: C
A boy can reach a certain place in 15 hours. If he reduces his speed by 1/30th, he goes 5 km less in that time. Find his speed. Answers:
A) 4 km/hr.
B) 6 km/hr
C) 8 km/hr
D) 10 km/hr
E) None of these

Solution: Explanation :   Solution: Let the speed be x km/hr. then,   15x - (15 * 29x/30) = 5   => 30x-29x = 5*2   => x =10 km/hr.   Answer : 10 km/hr
Answer: D
A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12100 after a year?  Choose the correct choice from the following options
A) 3630 B) 3637 C) 3630 D) 3631 E) 3635

Solution: 6300:4200:10500   3:2:5   3/10 * 12100= 
3/10 * 12100 = 3_630
3630   3630nswer: 3630
Answer: A
A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is? Choose the correct choice from the following answers.
A) 2 2 8/2
B) 2 2 1/9
C) 2 9 1/2
D) 2 2 1/2
E) 2 2 4/2

Solution: 100 --- 10 2 2 1/2S = 10   ? ---- 1   75 ---- 15 US = 5   ? ----- 1 S = (10 - 5)/2   = 2 2 1/2kmph   Answer:2 2 1/2
Answer: D
A bag contains 6 white balls, 6 black balls, and 3 red balls. One by one, three balls are drawn out without replacement. What is the probability that the third ball is red?
Select the correct option.
A) 0.2 B) 0.15 C) 0.35 D) 0.45 E) 0.4

Solution: Each ball has an equal probability of being the third ball drawn.   P(3rd ball is red) = 3/15= 
3/15 = 1/5 = around 0.2
0.2   The answer is 0.2.
Answer: A
The Coen family consists of a father, a mother, two children and a dog. A photographer is about to take the family's picture. How many different arrangements (of standing in a row) does the photographer have, if it is known that the children stand together?
Select
A) 12 B) 24 C) 50 D) 48 E) 120

Solution: We need to find the number of arrangements of Father, Mother, Child-1, Child-2, and a Dog, so that C1 and C2 are always together.   Consider F and M to be one unit, then we would have total of four units: {F), {M}, {C1C2}, {D}. The number of arrangements of these four units is 4!, but C1 and C2 within their unit can be arranged in 2 ways: {c1c2} or {c2c1}, so total number of arrangements is 4!*2=48.   Answer: 48.
Answer: D
In a factory, there are 40% technicians and 60% non-technicians. If the 60% of the technicians and 40% of non-technicians are permanent employees, then the percentage of workers who are temporary is?
Choose the correct choice from the following answers.
A) 57%	B) 82%	C) 52%	D) 22%	E) 58%

Solution: Total = 100   T= 40 NT= 60   40*(60/100)= 
40*(60/100) = 24
24 60*(40/100)=24   24 + 24= 
24 + 24 = 48
48=> 100 - 48= 
100 - 48 = 52
52%   57%nswer:57%
Answer: A
Express of the following as a fraction:
25%  Select the correct option:
A) 1/4  B) 1/8  C) 2/9  D) 3/6  E) None of them

Solution: 25% = 25/100= 1/4.   1/4nswer is 1/4.
Answer: A
The larger interior angle of a parallelogram is 90° more than its smaller interior angle. What is the measure of the smaller interior angle of the parallelogram?	Options:	A) 90°	B) 75°	C) 60°	D) 45°	E) 30°

Solution: let smaller be x ,larger becomes x+90... total of all angles=360   so 4x+180=360 and x=45   ANSWER:45°
Answer: D
A is twice as good a work man as B and together they finish the work in 6 days. In how many days A alone can finish the work? Select the correct option:
A) 3
B) 9
C) 7
D) 2
E) 6

Solution: WC = 2:1   2x + x = 1/6 => x = 1/18   2x = 1/9   A can do the work in 9 days.   Answer: 9
Answer: B
In what time will Rs.4600 lent at 3% per annum on simple interest earn as much interest as Rs.5000 will earn in 5 years at 4% per annum on simple interest?	Select the correct option.
A) 7 1/3	B) 7 1/6	C) 7 1/4	D) 7 1/2	E) 7 1/5

Solution: (4600*3*R)/100 = (5000*5*4)/100   R = 7 1/4   Answer: 7 1/4
Answer: C
Sekar started a business investing Rs.25,000 in 1999. In 2000, he invested an additional amount of Rs.10,000 and Rajeev joined him with an amount of Rs.35,000. In 2001, Sekar invested another additional amount of Rs.10,000 and Jatin joined them with an amount of Rs.35,000. What will be Rajeev's share in the profit of Rs.2,70,000 earned at the end of 3 years from the start of the business in 1999?  Pick one:
A) Rs.45,000  B) Rs.50,000  C) Rs.90,000  D) Rs.75,000  E) none

Solution: Solution   Sekar:Rajeev:Jatin=	(25000×12+35000×12+45000×12):(35000×24) : (35000×12)   = 1260000 : 840000 : 420000   = 3 : 2 : 1.   Rajeev's share	=Rs.(270000×2/6)   = Rs.90000.   Answer Rs.90,000
Answer: C
There are 350 snakes at a large zoo. The number of snakes is 5 times the number of all the other animals combined. How many more snakes are there than non snakes animals at the zoo?
Options:
A) 400
B) 360
C) 300
D) 280
E) 200

Solution: Answer is D.   Total snakes= 350 = 5 * Other Animals (X)   or X = 70.   So, 280ifference in snakes and X = 350-70= 
350-70 = 280
280.
Answer: D
Find the present worth of Rs.930 due 3 years hence at 8% per annum.Aso find the discount?
Choose the correct choice from the following options: A) 2387 B) 180 C) 221 D) 277 E) 881

Solution: Explanation:   \inline \fn_jvn P.W = \frac{100\times Amount}{100+(R\times T)}=Rs.\left [ \frac{100\times 930}{100+(8\times 3)} \right ]=Rs.750   T.D = Amount - P.W   = 930 - 750   = Rs.180   Answer: 180) 180
Answer: B
In the decimal expansion of (9/10)^4 what is the fourth digit to the right of the decimal point?  Choose the most appropriate option:  A) 2  B) 7  C) 1  D) 0  E) 5

Solution: Step 1 1onvert fraction to decimal with two decimal places 9/10= 
9/10 = 9/10 = around 0.9
0.90 then convert to scientific number= 9*10^-1   Step 2 Multiply 9^4 by 10^-4   Step 3 9 has the sequence 9, 81, 729   Answer is 1
Answer: C
HCF and LCM two numbers are 20 and 396 respectively. If one of the numbers is 36, then the other number is?
Select the correct option.
A) 36 B) 66 C) 132 D) 264 E) 220

Solution: 20 * 396 = 36 * x   x = 220   ANSW220R:220
Answer: E
Oranges are purchased for $15/bag at the Farmer's Market. A bag weighs 3 lbs. The oranges are peeled and the seeds removed (removing 1/6 of the weight). Then, these oranges are squeezed and made into orange juice. It takes 1 lb of oranges to make an 8 ounce glass of orange juice, and it takes 128 ounces to make a gallon. How much money is needed to buy oranges to make x number of gallons of orange juice, in dollars?	Choose one.
A) 20x	B) 158x	C) x/15	D) 2x/3	E) 96x

Solution: Initial cost for a bag = $15; since 1 bag = 3 lbs, 1 lb = $15/3, but ONLY 5/6 is used.   So the cost of 5/6 lb = $5, or 1 lb = $30/5,   and 1 lb of oranges = 8 oz of orange juice, but 128 oz are needed for 1 gal, so cost of 1 gal = $(30/5)(128oz/8oz) = $(30/5)(16) = $96   If 1 jar costs $96, x number of jars will cost $96x.   Answer is 96x
Answer: E