MU-NLPC/Calc-aqua_rat huggingface dataset:
A man decides to buy a nice horse. He pays $60 for it, and he is very content with the strong animal. After a year, the value of the horse has increased to $70 and he decides to sell the horse. However, already a few days later he regrets his decision to sell the beautiful horse, and he buys it again. Unfortunately, he has to pay $80 to get it back, so he loses $10. After another year of owning the horse, he finally decides to sell the horse for $90.
What is the overall profit the man makes? Select the correct option.
A) $10 B) $60 C) $20 D) $50 E) $60

Solution: C   $20   In the first trade, the man buys something for $60 and sells it again for $70, so he makes a profit of $10.   In the second trade, the man buys something for $80 and sells it again for $90, so he makes again a profit of $10.   Conclusion: The man makes an overall profit of $10 + $10 = $20.   You can also look at the problem as follows: the total expenses are $60 + $80 10 +  10= 
10 +  10 = 20
$20.   You can also look at the problem as follows: the total expenses are $60 + $80 = $140 and the total earnings are $70 + $90 60 +  80= 
60 +  80 = 140
$140 and the total earnings are $70 + $90 = $160. The overall profit is therefore $160 - $140   70 +  90= 
  70 +  90 = 160
$160. The overall profit is therefore $160 - $140 = $20. 160 -  140= 
 160 -  140 = 20
$20.
Answer: C
A given positive integer is divided by 9 with a remainder of 5. The same integer when divided by 12 has a remainder of 3. What is the remainder if the it integer is divided by 35. Choose the correct choice:  A) Between 1 and 4, inclusive  B) Between 5 and 7, inclusive  C) Between 8 and 10, inclusive  D) 5  E) 1

Solution: Put in real numbers.   Let the integer be x   9x+5= 12x+3   Start 9x+5 -->14, 23, 32,....41...   Of these only 41 fit the description 12x+3. The remainder when divided by 35 is 6. So answer is B).   Answer = Between 5 and 7, inclusive)
Answer: B
In the table above, what is the least number of table entries that are needed to show the mileage between each city and each of the other five cities?
Options:
A) 15 B) 21 C) 25 D) 30 E) 36

Solution: Total number of entries 6*6(6rows*6columns) =36   Now 6 entries are representing mileage with the city itself so subtract that => 36-6   Minimum entries required = half the Total = 30/2= 
30/2 = 15
15   ANSWER:21
Answer: B
Which is not a leap year?	Choose the correct choice from the following options: A) 2004 B) 2012 C) 1700 D) 1704 E) 2008

Solution: the answer is 1700,   becz if the year is centurial ,that should be divisible by 400 for leap year   ex:400,800,1200   ANSWER:1700
Answer: C
Of the 800 employees of Company X, 80 percent have been with the company for at least ten years. If y of theselong-termmembers were to retire and no other employee changes were to occur, what value of y would reduce the percent oflong-termemployees in the company to 70 percent ?	Choose one
A) 200
B) 266.67
C) 112
D) 80
E) 56

Solution: The # oflong-termemployees is 80%*800=640.   After y of them retire new # oflong-termemployees would become 640-y.   Total # of employees would become 800-y.   We want 640-y to be 70% of 800-y --> 640-y=(800 -y)*70% --> y = 266.67.   Answer: 266.67.
Answer: B
add 10% of 30 and 15% of 50.  Choices:	A) 9.5	B) 10.5	C) 11.5	D) 12	E) 15

Solution: 10% of 30 + 15% of 50   30*10/100+50*15/100   3+7.5= 
3+7.5 = 10.5
10.5   answer 10.5
Answer: B
What annual payment will discharge a debt of Rs. 6450 due in 4 years at 5% per annum?  Choose the correct choice from the following options:
A) 1500	B) 1400	C) 1700	D) 1800	E) 1600

Solution: Explanation :   he amount needs to be repaid in 4 years = Rs.6450   Suppose Rs.x is paid annually to repay this debt   Then, amount paid after 1st year = Rs.x   Interest for this Rs.x for the remaining 3 years = x × 5×3/100=15x/100   Then, amount paid after 2nd year = Rs.x   Interest for this Rs.x for the remaining 2 years = x × 5 × 2 /100=10x/100   1500mount paid after 3rd year = Rs.x   Interest for this Rs.x for the remaining 1 year = x × 5 ×1/100=5x/100   1500mount paid after 4th year = Rs.x and this closes the entire debt   =>x+15x/100+x+10x/100+x+5x/100+x=6450   =>4x+30x/100=6450   =>4x+3x/10=6450   =>40x+3x=64500   =>43x=64500   =>x=1500   1500nswer : Option 1500
Answer: A
What is the greatest of 3 consecutive integers whose sum is 33 ?
Pick.
A) 12
B) 7
C) 8
D) 9
E) 5

Solution: The sum of three consecutive integers can be written as n + (n + 1) + (n + 2) = 3n + 3   If the sum is 24, we need to solve the equation 3n + 3 + (  + 1) + (  + 2)= 
+ (  + 1) + (  + 2) = 3
3n + 3   If the sum is 24, we need to solve the equation 3n + 3= 33;   => 3n = 30;   => n = 10   The greatest of the three numbers is therefore   10+ 2= 
  10+ 2 = 12
12 12nswer: 12
Answer: A
It was calculated that 75 men could complete a piece of work in 25 days. When work was scheduled to commence, it was found necessary to send 25 men to another project. How much longer will it take to complete the work? Choose the correct choice from the following answers
A) 28 days.  B) 30 days.  C) 37.5 days.  D) 40 days.  E) 36 days.

Solution: One day work = 1 / 25   One man’s one day work = 1 / ( 25 * 75)   Now:   No. Of workers = 50   One day work = 50 * 1 / ( 25 * 75)   The total no. of days required to complete the work = (75 * 25) / 50= 
(75 * 25) / 50 = 75/2 = around 37.5
37.5   Answer:37.5 days.
Answer: C
In a 100 m race,A covers the distance in 30 seconds and B in 45 second.In this race A beats B by :
Choose the most appropriate option.
A) 33.33 m  B) 25 m  C) 45 m  D) 30 m  E) None of these

Solution: Solution   Distance covered by B in 15 sec. = (100/45x15)m =33.33m.   ∴ A beats B by33.33 metres.   33.33 mnswer 33.33 m
Answer: A
A bowl contains many kinds of fruit. In the bowl there are twice as many apples then there are bananas, and three times as many oranges as bananas. If the total number of pieces of fruit is X, then how many apples are in the bowl as a fraction of X
Choices
A) X/2 B) X/3 C) 2*X D) X/6 E) X/4

Solution: Since X is the total number of fruit: X = apples + bananas + oranges.   Since there are three times as many oranges as bananas then 1*orange = 3*bananas   Thus X = apples + bananas + (3*bananas); which simplifies to X = apples + 4*bananas   Since there are twice as many apples as bananas then 1*apple = 2*bananas; which converts to bananas=apple/2   Thus X = apples + 4*(apples/2); which simplifies to X = 2*apples.   Thus apples = X/2   X/2nswer: X/2
Answer: A
If x : 0.25 : : 3 : 5, then x is equal to :
Select the correct option:  A) 0.25  B) 0.15  C) 0.2  D) 0.3  E) None of these

Solution: Explanation :   Solution: x : 0.25 : : 3 : 5   => x*5 = 3*0.25 => x = 0.75/5= 
0.75/5 = 0.15
0.15   Answer : 0.15
Answer: B
Two trains of equal lengths take 10 sec and 15 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross other travelling in opposite direction?
Choose the correct choice from the following answers:
A) 16 sec  B) 12 sec  C) 41 sec  D) 09 sec  E) 15 sec

Solution: Speed of the first train = 120/10= 
120/10 = 12
12 m/sec.   Speed of the second train= 120/5 = 8 m/sec.   Relative speed = 12 + 8= 
12 + 8 = 20
20 m/sec.   Required time= (120 + 120)/20= 
(120 + 120)/20 = 12
12 sec.   Answer: 12 sec
Answer: B
A man invested Rs. 14,400 in Rs. 100 shares of a company at 20% premium.If the company declares 5% dividend at the end of the year,then how much does he get ?  Pick
A) Rs. 500 B) Rs. 600 C) Rs. 650 D) Rs. 720 E) None

Solution: Solution   Number of shares = (14400/120)= 
(14400/120) = 120
120.   Face value= Rs. (100x120 ) = Rs. 12000.   Annual income = Rs.(5/100x12000) = Rs. 600.   Answer Rs. 600
Answer: B
In a school with 5 classes, each class has 2 students less than the previous class. How many students are there in the largest class if the total number of students at school is 105?  Choose the correct choice from the following answers:
A) 24
B) 25
C) 26
D) 27
E) 28

Solution: Let x be the number of students in the largest class.   Then x + (x-2) + (x-4) + (x-6) + (x-8) = 105   5x -20 = 105   5x = 125   x = 25   The answer is 25.
Answer: B
if radius of a circle is reduced by 10%,then how much % of its area will be reduced?
Choose the most appropriate option
A) 10%  B) 19%  C) 20%  D) 36%  E) 30%

Solution: let initial radius=a then,area=πa^2.   new radius=90% of a=9a/10.new area=π*81a^2/100=81/100πa^2   reduce in area=[πa^2-81/100πa^2]=19/100πa^2   % reduce=[(19*πa^2/100)*(1*100/πa^2)]%=19%   answer 19%
Answer: B
A box contains 100 balls, numbered from 1 to 100. If 3 balls are selected at random and with replacement from the box. If the 3 numbers on the balls selected contain two odd and one even. What is the probability G that the first ball picked up is odd numbered? Select the correct option:
A) 0	B) 1/3	C) 1/2	D) 2/3	E) 1

Solution: Answer-D   Selecting the balls either Even or Odd is having probability 50/100=1/2   We have already selected 3 balls with 2 odd numbers and 1 even number.   So we have 3 combinations OOE, OEO, EOO. We have 3 outcomes and 2 are favourable as in 2 cases 1st number is odd. So probability G is 2/3.2/3
Answer: D
In a certain game, you perform three tasks. You flip a quarter, and success would be heads. You roll a single die, and success would be a six. You pick a card from a full playing-card deck, and success would be picking a spades card. If any of these task are successful, then you win the game. What is the probability of winning? Choose one: A) 1/48 B) 5/16 C) 11/12 D) 11/16 E) 23/48

Solution: Probability of event not happening is equal to (1 - Probability of event happening)   So, Probability NO heads=1/2   Probability NO number 6 =5/6   Probability NO picking a spades card =3/4   so, Probability NO winning = 1/2*5/6*3/4 = 15/48=5/16   Probability NO winning = 1 - 5/16 = 11/16 .   answer is 11/16
Answer: D
In a library, there are certain number of books on a shelf, ranging between 75 and 100. 1/6th of them are fiction and 12.5% of them are non-fiction. Find the number of books.
Choose the most appropriate option.
A) 376  B) 96  C) 26  D) 198  E) 178

Solution: Explanation:   12.5% can be written as 1/8th   Since 1/6th of the books are fiction and 1/8th are non-fiction, the total number of books must be exactly divisible by 6 and 8 and should be between 75 and 100.   Therefore, 96 is the only number, which fulfills the above criteria.   Note that the question doesn't imply that there are ONLY two varieties of books.   ANSWER: 96
Answer: B
There are 16 bees in the hive , then 9 more fly. How many bees are there in all? Choose the correct choice from the following choices:
A) 7  B) 33  C) 12  D) 17  E) 25

Solution: 16+9= 
16+9 = 25
25 . Answer is 25.
Answer: E
A, B and C rents a pasture for Rs.841. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should C pay?  Select
A) 270
B) 289
C) 267
D) 261
E) 552

Solution: 12*8 :16*9 = 18*6   8: 12: 9   9/29 * 841= 
9/29 * 841 = 261
261   Answer: 261
Answer: D
Of the 100 people in a room, 4/5 are women. If 3/5 of the people are married, what is the maximum number of women in the room who could be unmarried?	Choose the correct answer:
A) 32  B) 34  C) 36  D) 38  E) 40

Solution: women = 4/5 * 100= 
4/5 * 100 = 80
80   married= 3/5 * 100= 
3/5 * 100 = 60
60   unmarried= 40   max(un-married women) = 40   40
Answer: E
Alfred buys an old scooter for $4400 and spends $800 on its repairs. If he sells the scooter for $5800, his gain percent is?
Choose the correct choice from the following choices
A) 5.45% B) 6.23% C) 7% D) 8.12% E) 11.5%

Solution: C.P. = 4400+800= 
4400+800 = 5_200
$5200   S.P.= $5800   Gain = 5800-5200= 
5800-5200 = 600
$600   Gain%= 600/5200 * 100 = 11.5%   Answer is 11.5%
Answer: E
In a mayoral election, Candidate X received 2/3 more votes than candidate Y, and Candidate Y received 1/3 fewer votes than Z. If Z received 27,000 votes how many votes did candidate X received?
Choose the correct option.
A) 18000
B) 22000
C) 24000
D) 26000
E) 30000

Solution: Z=27 --> Y received 2/3 fewer votes than Z --> Y=Z-1/3*Z=18;   X received 2/3 more votes than Y --> X=Y+2/3*Y=30.   Answer: 30000.
Answer: E
The grade point average of the entire class is 88. If the average of one third of the class is 94, what is the average of the rest of the class?	Answers.
A) 82  B) 83  C) 84  D) 85  E) 86

Solution: Let x be the number of students in the class.   Let P be the average of the rest of the class.   88x = (1/3)94x + (2/3)(P)x   264 = 94 + 2P   2P = 170   P = 85.   The answer is 85.
Answer: D
If the cost of 15 kgs of rice is Rs.780/-, what is the cost of 112 kgs of rice?  Choose the correct choice from the following choices.
A) Rs.5824/- B) Rs.5720/- C) Rs.5616/- D) Rs.5512/- E) None of these

Solution: Explanation:   Cost of 1 kg of rice = Rs.780/15 = Rs.52.   Therefore, cost of 112 kgs. = Rs.52x112 = Rs.5824/-   Rs.5824/-nswer: Option Rs.5824/-
Answer: A
The cost price of a radio is Rs.1500 and it was sold for Rs.1230, find the loss %?  Choose one.
A) 18%	B) 17%	C) 78%	D) 13%	E) 19%

Solution: 1500 ---- 270   100 ---- ? => 18%   18%nswer: 18%
Answer: A
A child received a gift of six different soccer team flags, including Liverpool and Arsenal. If he only has space in his bedroom to display four flags in a row, how many arrangements are possible if he cannot display the Liverpool and Arsenal flags at the same time?  Choose the correct choice from the following answers.
A) 162
B) 216
C) 272
D) 360
E) 414

Solution: The total number of ways to choose and arrange 4 flags out of 6 is C^46∗4!=360(or directly P^46).   We cannot have Liverpool and Arsenal flags at the same time. The number of ways to have and arrange Liverpool and Arsenal flags at the same time is C24∗4!=144 (choosing 2 flags out of 4 remaining, without Liverpool and Arsenal, and then arranging 4 flags with 4!);   Total - Restriction = 360 - 144= 
360 - 144 = 216
216.   Answer: 216.
Answer: B
In a panel of 10 light bulbs, the odds of any light bulb to burn out are 0.02 at any given 10 minutes. Should a light bulb burn out, the whole panel would instantly turn off. What are the odds that the panel would be turned off within the first 10 minutes after it was switched on? Choose the correct choice.
A) 1-0.02^10 B) 1-0.98^10 C) (1-0.98)^10 D) 0.06 E) 1-10*0.06

Solution: ans B.   Prob that light will not turned off = 0.98^10. Hence prob (turn off) = 1 - prob (not turn off).
Answer: B
15 years hence, Karthik will be just Quadrice as old as he was 15 years ago, How old is Karthik at now? [ Quadrice = 4 Times ] Options
A) 25
B) 26
C) 22
D) 29
E) 28

Solution: 25   25   Let the current age of Karthikh = 25 years   Then, 25+15 = 4(25 – 15)   Therefore 25 = 25
Answer: A
If the 11th day of a month is three days earlier than Friday, What day will it be on the 20th day of the month?
Choose the correct choice from the following
A) Thursday	B) Monday	C) Sunday	D) Wednesday	E) Friday

Solution: Explanation:   Given that 11th day of a month is three days earlier than Friday   => 11th day is Tuesday   => 18th is Tuesday   => 20th is Thursday   Thursdaynswer: Option Thursday
Answer: A
Twenty times a positive Integer is less than its square by 96. What is the integer?  Choose the most appropriate option
A) 4 B) 25 C) 24 D) 16 E) 27

Solution: Let the Integer be x.   Then X2 - 20X = 96   X2 - 20X - 96 = 0   X2 + 4X - 24X - 96 = 0 ===> X(X + 4) -24(X + 4)   ===> (X + 4)(X-24)   X = -4 or 24. as the Integer is positive the correct answer is   option 24)24
Answer: C
A train running at the speed of 60 km/hr crosses a pole in 12 seconds. What is the length of the train?	Choose the most appropriate option:
A) 200 metres B) 180 metres C) 324 metres D) 150 metres E) 100 meters

Solution: Speed=60 x5/18m/sec=50/3	m/sec.   Length of the train = (Speed x Time).   Length of the train =	50/3	x 12m = 200 m.   200 metresNSWER:200 metres
Answer: A
In Badminton game, one player throws two fair, six-sided die at the same time. If the player receives at least a five or a one on either die, that player wins. What is the probability that a player wins after playing the game once? Options
A) 1/3	B) 4/9	C) 5/9	D) 2/3	E) 3/4

Solution: In Badminton game, Probably the easiest approach would be to find the probability of the opposite event and subtract it from 1:   P(win) = 1- P(not win) = 1 - 4/6*4/6 = 5/9.   Answer: 5/9.
Answer: C
The profit earned by selling an article for Rs. 832 is equal to the loss incurred when the same article is sold for Rs. 448. What should be the sale price for making 70% profit?  Pick one.
A) 277
B) 1088
C) 277
D) 266
E) 121

Solution: Let C.P. = Rs. x.   Then, 832 - x = x - 448   2x = 1280 => x = 640   Required S.P. = 170% of Rs. 640 = 170/100 * 640 = Rs. 1088.   Answer: 1088
Answer: B
1100 male students and 700 female students are examined in a monthly test; 42% of the male students and 30% of the female students only pass in the examination. Find the percentage of the total failed?  Choices:
A) 62*2/3	B) 40*2/3	C) 55*2/3	D) 50*2/3	E) 35*2/3

Solution: Total number = 1100 + 700= 
1100 + 700 = 1_800
1800.   tot students passed= (42% of 1100 + 30% of 700) - (462 + 210) = 672.   Number of failures = 1800-672= 
1800-672 = 1_128
1128.   Percentage of failure= (1128/1800 * 100 )% = 62 * 2/3 %.   62*2/3NSWER 62*2/3
Answer: A
The decimal 0.1 is how many times greater than the decimal (0.0001)^3?
Choose one
A) 10^9  B) 10^10  C) 10^11  D) 10^12  E) 10^13

Solution: 0.1 = 10^-1   (0.0001)^3 = (10^-4)^3 = 10^-12   10^11 * 10^-12 = 10^-1   The answer is 10^11.
Answer: C
John throws a coin until a series of five consecutive heads or three consecutive tails appears. What is the probability that the game will end after the sixth throw?
Choose the correct option:
A) 1/32 B) 2/16 C) 3/16 D) 7/16 E) 9/16

Solution: Let's consider the routes that would lead to ending the game on the fourth toss. In order to be a win at that point, tosses #2#3#4 would all have to be the same, either H or T, and in order for the game NOT to end on the third toss, the first toss would have to be different from the other four. Thus, the only two possible sequences are   H-T-T-T-T-T ----> P = (1/2)^6 = 1/64   T-H-H-H-H-H ----> P = (1/2)^6 = 1/64   Either one of these would satisfy the condition, so we could have one or the other. OR means add in probability.   1/64 + 1/64= 2/64 = 1/32   1/32nswer(1/32).
Answer: A
A can do a work in 8 days. B can do the same work in 4 days. Both A&B together will finish the work and they got $1000 from that work. Find their shares?	Pick:
A) 600,400	B) 500,500	C) 400,200	D) 800,200	E) 550,450

Solution: Ratio of their works A:B = 8:4   Ratio of their wages A:B = 2:1   A's share = (2/5)1000 = 400   B's share = (1/5)1000 = 200   correct option is 400,200
Answer: C
4 mat-weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 8 mat-weavers in 8 days?	Choose the correct choice from the following choices
A) 16 B) 77 C) 88 D) 26 E) 29

Solution: Explanation:   Let the required number of bottles be x.   More weavers, More mats (Direct Proportion)   More days, More mats (Direct Proportion)   {\color{Blue} \left.\begin{matrix} weavers &4:8 \\ days& 4:8 \end{matrix}\right\}::4:x}   {\color{Blue}\therefore }4 x 4 x x = 8 x 8 x 4   {\color{Blue}\Rightarrow x=\frac{8\times 8\times 4}{4\times 4} }   {\color{Blue} \Rightarrow }x = 16.   16nswer: 16) 16
Answer: A
In the formula V = 1/(4r)^2, if r is halved, then V is multiplied by
Choices.
A) 64
B) 8
C) 4
D) 64
E) 1/64

Solution: Say r=2 => V1 = 1/64   when r=1; V2 = 1/16   V2 = 4*V1.   Answer=44* 1.= 
4* 1. = 4
4=4
Answer: C
The ratio of the cost price and the selling price is 4:5. The profit percent is? Choose one:
A) 75%.  B) 27%.  C) 25%.  D) 45%.  E) 15%.

Solution: Let C.P. = Rs. 4x. Then, S.P. = Rs. 5x   Gain = (5x - 4x) = Rs. x   Gain % = (x * 100)/ 4x = 25%.   Answer:25%.
Answer: C
The number of ways in which six boys and six girls can be seated in a row for a photograph so that no two girls sit together is?	Choose the correct option:  A) 8! * ⁷P₆  B) 6! * ⁷P₆  C) 9! * ⁷P₆  D) 5! * ⁷P₆  E) 2! * ⁷P₆

Solution: We can initially arrange the six boys in 6! ways.   Having done this, now three are seven places and six girls to be arranged. This can be done in ⁷P₆ ways.   Hence required number of ways   = 6! * ⁷P₆   Answer: 6! * ⁷P₆
Answer: B
When the oil from a circular cylinder leaked, the formula for the speed of the leak is V = kh^2, where h was the height of the remaining oil and k was constant. If the height of the cylinder is 4, the speed of the leak is Vâ€™, When the height of the oil remaining is 12, what was the speed of the leak, in terms of Vâ€™?
Pick one
A) 9Vâ€™ B) 4Vâ€™ C) Vâ€™/2 D) Vâ€™/4 E) Vâ€™

Solution: When h=4 v=V'   So V' = k.16   Hence k = V'/16   Now when h=12   v=(V'/16).12^2   v=V'.144/16   v=9V'   9Vâ€™ns : 9Vâ€™
Answer: A
If a committee of 3 people is to be selected from among 6 married couples so that the committee does not include two people who are married to each other, how many such committees are possible?  Choose the most appropriate option:  A) 20  B) 40  C) 50  D) 80  E) 160

Solution: You now have your Committee of 3 people. But you've selected them in an order, when order doesn't matter.   Selection #1 = Jack   Selection #2 = Susan   Selection #3 = Mary   Assume this is a good committee where Jack is not married to Susan or Mary and Susan and Mary are not married. The above committee will be the same as the following committee:   Selection #1 = Susan   Selection #2 = Mary   Selection #3 = Jack   To account for the fact that the order does not matter, we must divide out the number of ways a single committee can be the same members but in different order. 3 places = 3!, 3*2*1 = 6.   12*10*8 / 6= 
12*10*8 / 6 = 160
160. Answer 160.
Answer: E
A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?	Choices
A) 13 days
B) 15 days
C) 17 days
D) 21 days
E) None

Solution: A's 2 day's work = 1	x 2 =	1	.   20	10   (A + B + C)'s 1 day's work = 1	+	1	+	1 =	6	=	1	.   20	30	60	60	10   Work done in 3 days = 1	+	1 =	1	.   10	10	5   Now,	1	work is done in 3 days.   5   Whole work will be done in (3 x 5) = 15 days.   Option 15 days
Answer: B
A farmer spent $35 on feed for chickens and goats. He spent 40% money on chicken feed, which he bought at a 30% discount off the full price, and spent the rest on goat feed, which he bought at full price. If the farmer had paid full price for both the chicken feed and the goat feed, what amount would he have spent on the chicken feed and goat feed combined?  Select the correct option.
A) $37.80  B) $38.50  C) $39.20  D) $39.50  E) $41

Solution: A farmer spent 40% money on chicken feed, so he spent 0.4*$35=$14 on chicken feed, thus he spent the remaining 35-14 0.4* 35= 
 0.4* 35 = 14
$14 on chicken feed, thus he spent the remaining   35-14= 
  35-14 = 21
$21 on goat feed.   Now, since he bought chicken feed at a 30% discount then the original price of it was x*0.7=$14 --> x=$20.   Therefore if the farmer had paid full price for both the chicken feed and the goat feed, then he would he have spent   20+21= 
  20+21 = 41
$41.   Answer: $41.
Answer: E
Lucy's personal library had 1/20 the capacity as the town library. Lucy decided to donate 1/2 of her book collection to the town library. What fraction of the town library's capacity would Lucy's book donation fill?  Pick one.
A) 3/16	B) 1/10	C) 1/6	D) 1/18	E) 1/4

Solution: Assuming that the town library has space for 100 books, that would mean that Lucy's personal library had 20 books. If Lucy donated a 1/2 of her books, that would mean she donated 10 books. Those 10 books would make 10/100 of the town library's collection. 10/100 simplifies to 1/10. (Answer: 1/10)
Answer: B