MU-NLPC/Calc-aqua_rat huggingface dataset:
Working alone at its constant rate, pump F pumped out ¼ of the water in a tank in 2 hours. Then pumps G and H started working and the three pumps, working simultaneously at their respective constant rates, pumped out the rest of the water in 3 hours. If pump G, working alone at its constant rate, would have taken 18 hours to pump out the rest of the water, how many hours would it have taken pump H, working alone at its constant rate, to pump out all of the water that was pumped out of the tank?
Choose the correct choice.
A) 6
B) 12
C) 15
D) 18
E) 24

Solution: Rate of pump F = 1/8   3 hours are required to pump out the remaining (3/4)ths of tank --> 1 hr to pump out 1/4   Rate of F + Rate of G + Rate of H = 1/4   Rate of G + Rate of H = 1/4 - 1/8 = 1/8   G takes 18 hours to pump out the remaining (3/4)ths of tank --> 6 hrs per (1/4)ths --> 24 hrs to pump out fully.   Rate of G = 1/24   1/24 + Rate of H = 1/8   Rate of H = 1/8 - 1/24 = 1/12   Time required to pump out all the water by H = 12 hrs   Answer: 12
Answer: B
In a horticultural experiment, 200 seeds were planted in plot I and 300 were planted in plot II. If 57 percent of the seeds in plot I germinated and 42 percent of the seeds in plot II germinated, what percent of the total number of planted seeds germinated? Select
A) 45.5%
B) 46.5%
C) 48.0%
D) 49.5%
E) 51.0%

Solution: Plot I: 57% of 200 seeds germinated, hence  0.57*200= 
 0.57*200 = 114
114 seeds germinated.   Plot II: 42% of 300 seeds germinated, hence  0.42*300= 
 0.42*300 = 126
126 seeds germinated.   Thus (germinated)/(total)= (114 + 126)/(200 + 300) = 240/500 = 48% seeds germinated.   Answer: 48.0%
Answer: C
A pharmaceutical company received $8 million in royalties on the first $20 million in sales of the generic equivalent of one of its products and then $9 million in royalties on the next $108 million in sales. By approximately what percent did the ratio of royalties to sales decrease from the first $20 million in sales to the next $108 million in sales? Options.
A) 8%	B) 15%	C) 45%	D) 52%	E) 79%

Solution: Solution:   This is a percent decrease problem. We will use the formula: percent change = (new – old)/old x 100 to calculate the final answer.   We first set up the ratios of royalties to sales. The first ratio will be for the first 20 million in sales, and the second ratio will be for the next 108 million in sales. Because all of the sales are in millions, we do not have to express all the trailing zeros in our ratios.   First 20 Million   royalties/sales =8/20   Next 108 Million   royalties/sales = 9/108 = 1/12   Because each ratio is not an easy number to use, we can simplify each one by multiplying each by the LCM of the two denominators, which is 60. Keep in mind that we are able to do this only because our answer choices are expressed in percents.   First 20 Million   royalties/sales = (8/20) x 60 = 24   Next 108 Million   royalties/sales = 9/108 = (1/12) x 60 = 5   We can plug 24 and 5 into our percent change formula:   (new – old)/old x 100   [(5 – 24)/24] x 100   -475/6 x 100   At this point we can stop and consider the answer choices. Since we know that 475/6 is just a bit less than ½, we know that -475/6 x 100 is about a 79% decrease.   Answer 79%.
Answer: E
The length of rectangle is thrice its breadth and its perimeter is 64 m, find the area of the rectangle? Pick one:
A) 432 sq m	B) 192 sq m	C) 452 sq m	D) 428 sq m	E) 528 sq m

Solution: 2(3x + x) = 64   l = 24 b = 8   lb = 24 * 8= 
24 * 8 = 192
192   ANSWER:192 sq m
Answer: B
Which of the following is a possible length for side AB of triangle ABC if AC = 4 and BC = 9?
I. 5
II. 9 √3
III. 12.5 Choose the correct choice from the following answers:
A) I only
B) II only
C) III only
D) II and III
E) I, II, and III

Solution: (9-4) < AB < (9+4)   The answer is III only.
Answer: C
A book club rented the party room of a local restaurant to meet and discuss its current novel over dinner. The total charge, including food and service, was $ 850.50. If each member of the club paid at least $ 42, then what is the greatest possible number of members in the club?
Choose the correct choice from the following options.
A) 19  B) 21  C) 20  D) 23  E) 25

Solution: Given: Each person spends $42.   By looking at the options, we see that if there were 20 members, each person will spend atleast $42.   If there were 21 members, each person will spend $41.3   Hence the greatest number of members = 20. Option 20
Answer: C
Coins are to be put into 6 pockets so that each pocket contains at least one coin. At most 2 of the pockets are to contain the same number of coins, and no two of the remaining pockets are to contain an equal number of coins. What is the least possible number of coins needed for the pockets?  Choose the correct choice from the following choices
A) 16  B) 13  C) 17  D) 22  E) 28

Solution: 2 in each, so let each contain just 1 coin;   Next, we are told that no two of the remaining 4 pockets should contain an equal number of coins, so they should contain 2, 3, 4, and 5 coins each (also minimum possible);   Total:   1+1++2+3+4+5= 
  1+1++2+3+4+5 = 16
16   16nswer: 16
Answer: A
If x and g are integers and 2x–g= 11, then 4x+ g CANNOT be Choices:	A) –5	B) 1	C) 13	D) 17	E) 551

Solution: 2x-g=11....g=2x-11   4x+g=4x+2x-11=6x-11   6x-11=-5...x=1   6x-11=1... x=2   6x-11=13...x=4   6x-11=17..X is not integer   6x-11=551..X is not integer   I think the choice E is 55 not 551. Otherwise both 17E CANNOT be solution=17
Answer: D
The maitre 'd at an expensive Manhattan restaurant has noticed that 60% of the couples order dessert and coffee. However, 20% of the couples who order dessert don't order coffee. What is the probability R that the next couple the maitre 'd seats will not order dessert? Select the correct option:	A) 20%	B) 25%	C) 40%	D) 60%	E) 75%

Solution: could you use a venn diagram and just go with the number 100.   60 people order dessert and coffee... which is the union of D and C.   R=2/10 of D aren't in D U C = so 8/10 of D are in DUC which means =60 =8/10D. So D in total=75, and 15 D's aren't in D union C. which means 25 people are in C only + Neither.   25% 25%
Answer: B
A batsman makes a score of 87 runs in the 17th inning and thus increases his average by 3. Find his average after 17th inning?	Choose the correct choice from the following answers:
A) 33
B) 44
C) 39
D) 66
E) none of these

Solution: Let the average after 7th inning = x   Then average after 16th inning = x - 3   inline fn_jvn therefore 16(x-3)+87 = 17x   inline fn_jvn therefore x = 87 - 48= 
87 - 48 = 39
39 Answer 39
Answer: C
If circles x and y have the same area and circle x has a circumference of 12π, half of the radius of circle y is:
Pick one
A) 16  B) 8  C) 3  D) 2  E) 1

Solution: x be radius of circle x   y be radius of circle y   given:   pi*x^2 = pi*y^2   also,   2*pi*x = 12*pi   x = 6   thus y =6   y/2 = 3   Ans: 3
Answer: C
if the ratio of two number is 4:6 and LCM of the number is 280 then what is the number.
Pick one
A) 12
B) 20
C) 25
D) 30
E) 35

Solution: product of two no = lcm *hcf   4x*6x=280*x   x=12   12NSWER:12
Answer: A
A family consists of two grandparents, two parents, and three grandchildren. The average age of the grandparents is 64 years, the average age of the parents is 39 years, and the average age of the grandchildren is 6 years. What is the average age (in years) of the family? Choose the correct choice:
A) 31
B) 32
C) 33
D) 34
E) 35

Solution: Total age of the grandparents = 64 Ã— 2 = 128   Total age of the parents = 39 Ã— 2 = 78   Total age of the grandchildren = 6 Ã— 3 = 18   Average age of the family = (128+78+18)/7 = 224/7= 
224/7 = 32
32 years   The answer is 32.
Answer: B
When positive integer x is multiplied by positive integer n, the units digit of the product is 3. Which of the following are factors of n?
I. 8
II. 15
III. 30  Choose the correct choice from the following answers:
A) I only
B) II only
C) I and II only
D) II and III only
E) None of the above

Solution: ans E..   we can tell the ans w/o using examples..   the units digit of product x*n is 3..   this means x and n are odd positive integers..   therefore n cannot have an even factor so 8 and 30 are out..   n cannot have a factor ending in 5 because in that case the units digit has to be 5 or 0... so 15 is also out
Answer: E
The probability that a man will be alive for 10more yrs is 1/3& the probability that his wife will alive for 10 more yrs is 2/5. The probability that none of them will be alive for 10 more yrs, is	Choices.
A) 1/2  B) 1  C) 2/3  D) 3/4  E) 2/5

Solution: Sol. Required probability = Pg.) x P(B) = (1— D x(1 —I) =: x 1=2/5   Ans.(2/5)
Answer: E
If the sales tax be reduced from 5 (1/3) % to 3 (1/2) %, then what difference does it make to a person who purchases a bag with marked price of Rs. 5000? Choose the correct option:	A) Rs. 156.66	B) Rs. 111.23	C) Rs. 120.66	D) Rs. 91.66	E) None of these

Solution: Explanation:   Required difference = (5 (1/3) of Rs. 5000) - (3 (1/2) of Rs. 5000)   = (16/3 – 7/2) % of Rs. 5000   = (11/6) x (1/100) x 5000   = Rs. 91.66   ANSWER Rs. 91.66
Answer: D
(5+√3+√5)^2-(√3+√5)^2=?  Answers:
A) 1+2√3+2√5	B) 25+10√3+10√5	C) 1-√3+√5	D) 1+√3-√5	E) √3+√5

Solution: (5+√3+√5)^2-(√3+√5)^2   (5+√3)^2 + 5 +2 (5+√3) (√5) - ( 3 +5 + 2√3√5)   25+ 3+ 10√3 +5 +10 √5 + 2 √15 - 3-5 -2√15   25+10√3+10√5   25+10√3+10√5 is the answer
Answer: B
In 1995, the Jos spent $800 on the family’s water bills. Anticipating that water rates would increase in 1996 by 50%, the Jos cut back their water usage. By how much must the Jos have reduce their 1996 water usage to pay exactly the same amount in 1996 as they paid in 1995?
Select.
A) a)	33 1/3 %
B) b)	40 %
C) c) 50 %
D) d)	66 2/3 %
E) e)	100 %

Solution: Let x be the water usage and c be the cost water of Jos   We have   xc =800, c=800/x   Y(1.5c)=800 where Y is the water usage in 1996   Y= 800/ (1.5*800/x)= 1/1.5x=2/3x   Thus reduction will be x-2/3x=1/3x=a)	33 1/3 %
Answer: A
The perimeters of two squares are 48 cm and 32 cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares .
Choose the correct choice from the following answers: A) 22 cm B) 24 cm C) 26 cm D) 28 cm E) 35.6 cm

Solution: 35.6 cmxplanation:   We know perimeter of square = 4(side)   So Side of first square = 48/4= 
48/4 = 12
12 cm   Side of second square= 32/4= 
32/4 = 8
8 cm   Area of third Square= 12*12 - 8*8= 
12*12 - 8*8 = 80
80 cm   So side of third square= 8.9 [because area of square = side*side]   Perimeter = 4*Side = 4*8.9= 
4*8.9 = 35.6
35.6 cm   Answer: Option 35.6 cm
Answer: E
If q = 40! + 1, which of the following cannot be a prime factor of q?
I. 11
II. 19
III. 37 Choose the correct choice.
A) I​ only
B) III only
C) II and III
D) I and II
E) I​, II, and III

Solution: It is related to common factors between that factorial +1 and all other numbers <40.   and it is not concerned with higher number than the factorial..   example 4!+1 = 24+1= 
24+1 = 25
25 it is div by 5..   similarly 5!+1 is div by 11 but no other number <5 , as it is co-prime with others..   all the numbers 11, 19, and 37 are smaller than 40, so none of them will be factors of 40!+1..   ans I​, II, and III
Answer: E
A can do a piece of work in 5 hours; B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?	Choose the correct choice from the following choices:
A) 30  B) 20  C) 10  D) 6  E) 5

Solution: A's 1 hour's work = 1/5 ;   (B + C)'s 1 hour's work = 1/3 ;   (A + C)'s 1 hour's work = 1/2 .   (A + B + C)'s 1 hour's work = ( 1/5 + 1/3 ) =8/15 .   B's 1 hour's work = ( 8/15 - 1/2 ) = 1/30.   Therefore A alone will take 30 hours to do the work.   30
Answer: A
Two clocks are set at 3 0'clock in the morning. If one clock gains 10 minutes per hour and when it shows 6:30 in the morning what does the correct clock show?	Choose the correct choice from the following options.
A) 5:30  B) 5:25  C) 7:00  D) 6:15  E) 6:00

Solution: The faster clock gains 10 minutes per hour.   The two clocks at at 3:00 at 3 0'clock in the morning   At 4 0'clock -   The correct clock is at 4:00   The faster clock is at 4:10 (1 hour + gains 10 minutes)   At 5 0'clock -   The correct clock is at 5:00   The faster clock is at 5:20 (2 hours + gains 20 minutes)   In three hours the faster clock gains   3*10= 
  3*10 = 30
30 minutes   When the faster clock is at 6:30 the correct clock is at 6:00 in the morning.   Answer is 6:00
Answer: E
The average of five results is 46 and that of the first four is 37. The fifth result is?
Options
A) 50	B) 88	C) 77	D) 82	E) 51

Solution: 5 * 46 â€“ 4 * 37   = 82   Answer: 82
Answer: D
If 0.75 : x :: 5 : 8, then x is equal to:	Pick.
A) 1.12
B) 1.2
C) 1.25
D) 1.3
E) 1.35

Solution: Explanation:   (x x 5) = (0.75 x 8)   x=6/5= 
6/5 = 6/5 = around 1.2
1.20   ANSWER IS 1.2
Answer: B
The number 46 can be written as the sum of the squares of 3 different positive integers. What is the sum of these 3 integers? Answers
A) 17
B) 16
C) 15
D) 10
E) 13

Solution: I think brute force with some common sense should be used to solve this problem.   Write down all perfect squares less than 46: 1, 4, 9, 16, 25, 36.   Now, 46 should be the sum of 3 of those 8 numbers. Also to simplify a little bit trial and error, we can notice that as 46 is an odd numbers then either all three numbers must be odd (odd+odd+odd=odd) OR two must be even and one odd (even+even+odd=odd).   We can find that 46 equals to 1+9+36=1^2+3^2+6^2=46 --> 1+3+6=10.   Answer: 10.
Answer: D
How much space, in cubic units, is left vacant when maximum number of 7x7x7 cubes are fitted in a rectangular box measuring 14x21x17 ?	Choose the correct choice from the following choices:
A) 878
B) 879
C) 880
D) 881
E) 882

Solution: No of cubes that can be accommodated in box = (14*21*17)/(7*7*7)   12*16 in numerator can be perfectly divided by 7*7 in denominator.   side with length 17 can't be perfectly divided by 7 and hence is the limiting factor. Closet multiple of 7 less that 17 is 14. so vacant area in cube =   =14*21*(17-14)   =14*21*3= 
14*21*3 = 882
882   Ans - 882
Answer: E
A and B enter into partnership with capital as 7:9. At the end of 8 months, A withdraws. If they receive the profits in the ratio of 8:9 find how long B's capital was used? Choose the correct option:
A) 5  B) 4  C) 6  D) 7  E) 8

Solution: 7 * 8 : 9 * x = 8:9 => x= 7   Answer:7
Answer: D
There r 4 prime numbers in ascending order. The multiplication of first 3 is 385 and that of last 3is 1001. what is the last number is
Choose the correct option:	A) 10	B) 11	C) 12	D) 13	E) 14

Solution: Explanation:   abcbcd=3851001=>ad=513   abcbcd=3851001=>ad=513   So d = 13   13
Answer: D
How many differentsix letter words can be formed (the words need not be meaningful) using the letters of the word MEDITERRANEAN such that the first letter is E and the last letter is R?  Choose the correct choice:  A) 59  B) 11!/(2!*2!*2!)  C) 55  D) 23  E) 11!/(3!*2!*2!*2!)

Solution: E- -R   We are left with the following 11 letters: {M, D, I, T, R, EE, AA, NN} out of which 8 are distinct: {M, D, I, T, R, E, A, N}.   We should consider two cases:   1. If the two middle letters are the same, we'd have 3 words: EEER, EAAR and ENNR.   2. If the two middle letters are distinct, then we are basically choosing 2 letters out of 8 when the order of the selection matters, so it's 8P2 = 56.   Total = 56 + 3= 
56 + 3 = 59
59.   Answer: 55.
Answer: C
A factory has a fixed cost of $42,000 a month, and a cost of $2.5 for every item produced. If the selling price of a single item is $5, what is the number of items must be sold monthly for the factory to cover its cost exactly?  Choose the correct choice from the following answers:  A) 9,000  B) 14,000  C) 16,800  D) 22,500  E) 27,000

Solution: selling price - 16,800ost price = 2.5 so per unit profit =2.5   cost to recover =42000   no of items required = 42000/2.5= 
42000/2.5 = 16_800
16800   Answer: 16,800
Answer: C
A company conducted a survey about its two brands, A and B. x percent of respondents liked product A, (x – 20) percent liked product B, 23 percent liked both products, and 23 percent liked neither product. What is the minimum number D of people surveyed by the company?	Choose the correct option
A) 46	B) 80	C) D.90	D) D.100	E) 200

Solution: 100 = x + x - 20 + 23 - 23   x = 60,   So, Product A = 60%, Product B = 40%, Both = 23%, Neither = 23%   23% of the total no. of people should be an integer. So, A,BC are out.   60% of D and 40% of D are both integers. So, D satisfies all conditions.   So, answer is D.100.
Answer: D
The greatest number that divides 180, 565 and 705 leaving remainder 5, 5 and 5 respectively is:	Choose one: A) 31 B) 33 C) 35 D) 38 E) 39

Solution: explanation:   180-5= 
180-5 = 175
175 , 565-5=560 and   705-5= 
  705-5 = 700
700   Highest number that divides 175, 560 and 700 is HCF of numbers.   H35F of 175, 560 and 700= 35   Answer:35
Answer: C
What is the difference between the compound interests on $5000 for 1 years at 4% per annum compounded yearly and half-yearly?
Choose the correct choice from the following options
A) 2.04  B) 3.06  C) 4.8  D) 8.3  E) 9.3

Solution: CI = 5000*(1/4/100)*(1+1/2*4/100)   =(5000*26/25*51/50)= 
(5000*26/25*51/50) = 5_304
5304=5306.04   difference = $(5306.04 - 5304)= 
(5306.04 - 5304) = 2.04
$2.04   2.04NSWER 2.04
Answer: A
Two equal glasses are respectively
1 3
and
1 4 full of milk. They are then filled up with water and the contents are mixed in a tumbler. Find the ratio of milk and water in the tumbler	Choose the correct answer: A) 22 B) 88 C) 27 D) 19 E) 11

Solution: 22nswer:22
Answer: A
A wooden box of dimensions 8m×7m×6m is to carrry rectangular boxes of dimensions 8cm×7cm×6cm . The maximum number of boxes that can be carried in 1 wooden box is : Choose the correct choice.
A) 1200000
B) 1000000
C) 9800000
D) 7500000
E) none

Solution: Explanation:   Number of boxes = Volume of wooden box in cm3/Volume of 1 small ball = 800×700×600/8×7×6=1000000   Correct Option: 1000000
Answer: B
A, B and C can do a work in 90, 15 and 45 days respectively. If they work together, in how many days will they complete the work?	Pick.
A) 10
B) 66
C) 77
D) 88
E) 11

Solution: One days's work of A, B and C = 1/90 + 1/15 + 1/45   = (1 + 6 + 2)/90 = 1/10   A, B and C together can do the work in 10 days.   10nswer:10
Answer: A
The divisor is 19, the quotient is 6 and the remainder is 1.
What is the dividend?  Choose the correct choice:
A) 115
B) 114
C) 113
D) 110
E) 105

Solution: D = d * Q + R   D = 19 * 6 + 1   D = 114 + 1= 
114 + 1 = 115
115   115nswer: 115
Answer: A
A cistern 6 m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the west surface is : Choose the correct choice from the following choices: A) 49 m2 B) 50 m2 C) 53.5 m2 D) 55 m2 E) None of these

Solution: Solution   Area of the west surface = [2(lb + bh + lh) - lb] = 2 (bh + lh) + lb   = [2(4 × 1.25 + 6 × 1.25) + 6 × 4]m2 = 49m2.   49 m2nswer 49 m2
Answer: A
Difficulty:
There are five sales agents in a certain real estate office. One month Andy sold seven times as many properties as Ellen, Bob sold 3 more than Ellen, Cary sold seven times as many as Bob, and Dora sold as many as Bob and Ellen together. Who sold the most properties that month?	Choose the correct choice from the following choices.
A) Andy  B) Bob  C) Cary  D) Dora  E) Ellen

Solution: a= 7e   b =3 +e   c = 7b = 21+ 7e (highest of all)   d = b + e = 3+ e +e = 3 + 2e   Ans. Cary
Answer: C
If the quantity (p − 5) is 5 times the quantity (q + 5), then what is the relationship between p and q? Answers.
A) p = 5q + 30 B) p = 5q − 30 C) 5p = q + 20 D) p = 5q E) p = 5q − 20

Solution: p-5=5(q+5)   p-5=5q+25   p=5q+30   option p = 5q + 30
Answer: A
A freight elevator can carry a maximum load of 1000 pounds. Sean, who weighs 200 pounds, is in the elevator with two packages weighing 150 pounds and 280 pounds. If he needs to fit three more packages in the elevator that weigh as much as possible without exceeding the elevator limit, what is the difference between their average and the average of the two packages already in the elevator?  Options:
A) 25
B) 85
C) 190
D) 215
E) 210

Solution: The average of existing 2 package is150 + 280/2 = 430/2= 
430/2 = 215
215   Remaining allowed weight= 1000 - 200 - 430 = 1230.   allowed per package = 1230 / 3= 
1230 / 3 = 410
410   So difference in average of existing and allowable= 410-215= 
410-215 = 195
195   Hence 25
Answer: A
On a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. On the next day, orangeade was made by mixing the same amount of orange juice with twice the amount of water. On both days, all the orangeade that was made was sold. If the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $0.60 per glass on the first day, what was the price per F glass on the second day?  Pick one: A) $015 B) $0.20 C) $0.30 D) $0.40 E) $0.45

Solution: On the first day 1 unit of orange juice and 1 unit of water was used to make 2 units of orangeade;   On the second day 1 unit of orange juice and 2 units of water was used to make 3 units of orangeade;   So, the ratio of the amount of orangeade made on the first day to the amount of orangeade made on the second day is 2 to 3. Naturally the ratio of the # of glasses of orangeade made on the first day to the # of glasses of orangeade made on the second day is 2 to 3.   We are told thatthe revenue from selling the orangeade was the same for both daysso the revenue from 2 glasses on the first day equals to the revenue from 3 glasses on the second day.   Say the price of the glass of the orangeade on the second day was $x then 2*0.6=3*x --> x=$0.4.   Answer: $0.40.
Answer: D
In 2010, a basketball team won 30 percent of its 20 basketball games. In 2011, the team won 28 percent of its 25 basketball games. What was the percent increase from 2010 to 2011 in the number of basketball games the team won?  Pick one
A) 5%	B) 14 2/7%	C) 16 2/3%	D) 23 1/3%	E) 60%

Solution: 30% of 20 = 6 and 28% of 25 = 7, so percent increase =7−6/6=16.6   Answer 16 2/3%
Answer: C
Farm Tax is levied on the 25% of the cultivated Land. The tax department collected total $ 3840 through the farm Tax from the village of Mr. william. Mr. william paid only $ 480 as farm tax. The percentage of total land of Mr. willam over the total taxable land of the village is :	Choose the correct option.
A) 15%  B) 25%  C) 50%  D) 0.2083%  E) none

Solution: This will be equal to the percentage of total cultivated land he holds over the total cultivated land in the village. That leads to (480/3840)x100 =12.5%in percentage terms.   But the question asks ratio between his total land to total cultivated land. Hence the answer is 12.5%x (100/25) = 50%   The correct answer is (50%).
Answer: C
A watch passes through three hands and each gains 25%. If the 3rd sells it for Rs250, what did the 1st pay for it?  Answers
A) 120 B) 125 C) 128 D) 130 E) 154

Solution: First Purchased = 250 Wes= 128   128
Answer: C
If a1 = 1 and an+1= 2an + 5, n = 1, 2 .. , then a100 is equal to ?	Choose the most appropriate option:
A) 5*2^99-6
B) 5*2^99+6
C) 6*2^99+5
D) 6*2^99-5
E) 6*2^99-6

Solution: a(n+1)= 2a(n) + 5   Even+Odd=Odd   Therefore all the values are Odd. A, B and E out.   a(2)=2+5= 
2+5 = 7
7   Now lets take a2 and try solving it with the equations in C and D. Note they are similar and only differ by the sign before 5. So we have to only decide if our equation takes + or - 5.   Now, the equation in C and D looks like this 6*2^99 + (or -) 5.   In other words, a100=6*2^(n-1) + (or -) 5.   Now a2=7=6*2^1 +(or-) 5   7=12+(or-)5   Therefore the sign has to be -   Answer: 6*2^99-5
Answer: D
Jackson has $313,195 dollars in his investment accounts. What is the least amount of money (in whole number of dollars) that he must remove from his account if he wants to split this money evenly among nine new investors?	Choose the most appropriate option:
A) $1 B) $2 C) $3 D) $4 E) $5

Solution: In order to divide the sum in 9 parts, the amount must also be divisible by 9   Divisibility rule of 9: The sum of the digits must be divisible by 9   Sum of digits of 313,195 = 22 and 18 is divisible by 9.   Hence we need to subtract 4 to this number for it to be divisible by 9   Correct Option: $4
Answer: D