MU-NLPC/Calc-aqua_rat huggingface dataset:
John weighs twice as much as Susan. Susan's weight is 60% of Sam's weight. Mark weighs 50% of Lynn's weight. Lynn weighs 180% of John's weight. Which of these 5 people weighs the least? Select the correct option.
A) John
B) Susan
C) Sam
D) Mark
E) Lynn

Solution: John weighs twice as much as Susan --> J=2S --> John cannot weigh the least;   Susan's weight is 60% of Sam's weight --> S=0.6*Sam --> Sam cannot weigh the least;   Mark weighs 50% of Lynn's weight --> M=0.5*L --> Lynn cannot weigh the least;   Lynn weighs 180% of John's weight --> L=1.8*J --> John cannot weigh the least (we already know that);   As you can see the answer is either Susan (S) or Mark (M). To compare their weights we should express their weights in regards of the same person: M=0.5*L=0.5*(1.8*J)=0.9*J and from J=2S, S=0.5*J --> Susan weights the least: Susan's weight is 50% of that of John and Mark's weight is more than 50%of that of John.   Answer: Susan.
Answer: B
How much pure alcohol should be added to 400ml of a 15% solution to make the strength of solution 35%?
Choose the correct choice:
A) 100 ml  B) 60 ml  C) 120 ml  D) 130 ml  E) 175 ml

Solution: we can also go by answer choices   Tke 100 ml for eg   400 (old)+100 (new concentr)ml     500*35/100= 
  500*35/100 = 175
175 ml (75ml is de old concentration +100 ml (newly added)   Answer 175 ml
Answer: E
At the start of an experiment, a certain population consisted of 3 animals. At the end of each month after the start of the experiment, the population size was double its size at the beginning of that month. Which of the following represents the population size at the end of 9 months?  Choose the correct choice from the following
A) 2^3 B) 3^2 C) 2(3^10) D) 3(2^9) E) 3(10^2)

Solution: 3*2^n where n is the #of month --> 3*2^9 Answer (3(2^9))
Answer: D
Some part of a 50% solution of acid was replaced with an equal amount of 30% solution of acid. If, as a result, 40% solution of acid was obtained, what part of the original solution was replaced? Choose the correct option.
A) 1/5  B) 1/4  C) 1/2  D) 3/4  E) 2/3

Solution: Original Removed Added Result   1/2oncentration 0.50 0.50 0.70 0.60   Amount 1 x x 1   Multiply 0.50 0.50x 0.70x 0.60   0.50 (Original amount) - 0.50x (Removed) + 0.70x (Added) = 0.60 (End Result)   0.20x = 0.10   x = 1/2   ANSWER:1/2
Answer: C
Machine A takes 20 hours to complete a certain job and starts that job at 6AM. After four hour of working alone, machine A is joined by machine B and together they complete the job at 1PM. How long would it have taken machine B to complete the job if it had worked alone for the entire job?
Choose one:  A) 9.99  B) 3,615  C) 3.62  D) 4.62  E) 6.14

Solution: Let us assume total job = 100 units   A finishes 100 units in 20 hrs(given)   Hence A (working rate)= 5 units /hr   Now Given that A works for 4 hr( so 20 units done) then A and B finish total work in 7 hours. Hence A and B finish 80 units in 3 hours. Of these 3x5=15 units were done by A. Hence B did 65 units in 3 hours.   Hence B(working rate)= 65/3 units /hr   Hence B takes 100x3/65 = 4.62 hours to complete the job.   Answer 4.62.
Answer: D
A school has received 60% of the amount it needs for a new building by receiving a donation of $600 each from people already solicited. People already solicited represent 40% of the people from whom the school will solicit donations. How much average contribution is requited from the remaining targeted people to complete the fund raising exercise?	Choose the most appropriate option:
A) $200	B) $177.78	C) $100	D) $277.78	E) $377.78

Solution: Let the amount school needs = X   Let total people school plans to solicit = T   School has received 60 % of X => (3/5) X   People already solicited = 40% of T => (2/5) T   Now, as per the information given in the question :   (3/5)X = $400 . (2/5) . T --------------------------- 1   Remaning Amount is 40 % i.e ( 2/5 ) X ------because school has already received 60%   And the remaining people are 60 % i.e (3/5) .T -----because 40% of the people are already solicited   So, average contribution required from the remaining targeted people is   (2/5) X = (Amount required) . (3/5) . T ----------------------------------- 2   $277.78ivide eqn 1 by eqn 2   Amount required = $277.78   $277.78
Answer: D
Each of the positive integers a, b, and c is a three-digit integer. If each of the digits 1 through 9 appears in one of these three integers, what is the maximum possible value of the sum of a, b, and c?
Select: A) 2445 B) 2331 C) 2874 D) 2801 E) 2256

Solution: According to the stem we should use the digits 1 through 9 to construct 3 three-digit integers, so that their sum is as big as possible.   To maximize the sum, maximize the hundreds digits of a, b, and c, so make them 9, 8, and 7.   Next, minimize tens digits. Make them 6, 5, and 4.   Use the remaining digits (3, 2, and 1) for units digits.   So, a would be 963, b would be 852 and c would be 741.   741 + 852 + 963 =2256.   Answer: 2256.
Answer: E
A store owner estimates that the average price of type A products will increase by 15% next year and that the price of type B products will increase by 18% next year. This year, the total amount paid for type A products was $4600 and the total price paid for type B products was $8400. According to the store owner's estimate, and assuming the number of products purchased next year remains the same as that of this year, how much will be spent for both products next year? Choices
A) $15,202
B) $15,325
C) $16,000
D) $16,225
E) $17,155

Solution: cost of type $15,202 products next year = 1.15 * 4600= 
1.15 * 4600 = 5_290
5290   cost of type B products next year= 1.18 * 8400= 
1.18 * 8400 = 9_912
9912   total 5290 +9912= 
5290 +9912 = 15_202
15202   $15,202NSWER:$15,202
Answer: A
The sale price sarees listed for Rs.400 after successive discount is 20% and 5% is? Pick one:	A) 338	B) 277	C) 342	D) 882	E) 304

Solution: 400*(80/100)*(95/100)= 
400*(80/100)*(95/100) = 304
304   Answer: 304
Answer: E
The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is? Choices:
A) 866 m
B) 255 m
C) 245 m
D) 167 m
E) 267 m

Solution: Speed = [45 X 5/18] m/sec = [25/2] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (130 + x)/30   = 25/2 => 2(130 + x)   = 750 => x   = 245 m.   Answer:245 m
Answer: C
A train 125m long takes 6 sec to cross a man walking at 5kmph in a direction opposite to that of the train. Find the speed of the train?  Choices:
A) 65kmph B) 70kmph C) 75kmph D) 80kmph E) 85kmph

Solution: Let the speed of the train be x kmph   Speed of the train relative to man = x+5 = (x+5)*5/18 m/sec   125/[(x+5)*5/18] = 6   30(x+5) = 2250   x = 70kmph   Answer is 70kmph
Answer: B
A jar of 312 marbles is divided equally among a group of marble-players today. If 2 people joined the group in the future, each person would receive 1 marble less. How many people are there in the group today? Options:
A) 18 B) 20 C) 22 D) 24 E) 26

Solution: 312 = 24*13 = 26*12   There are 24 people in the group today.   The answer is 24.
Answer: D
A person incurs a loss of 5% be selling a watch for Rs. 1140. At what price should the watch be sold to earn 5% profit. Choose the correct choice from the following answers
A) 2227	B) 1788	C) 1260	D) 2889	E) 7721

Solution: Explanation:   Let the new S.P be x, then   (100 - loss%) : (1st S.P.) = (100 + gain%) : (2nd S.P.)   \inline \fn_jvn {\color{Black} \Rightarrow (\frac{95}{1140}=\frac{105}{x})}   \inline \fn_jvn {\color{Black} \Rightarrow x=1260}   Answer: 1260) Rs.1260
Answer: C
The population of a town increased from 50,000 to 80,000 in a decade. The average percent increase of population per year is :
Pick:
A) 4.37%
B) 5%
C) 6%
D) 8.75%
E) None of these

Solution: Solution   Increase in 10 year= (80000 - 50000)= 
(80000 - 50000) = 30_000
30000.   Increase%=(30000/50000x 100 )% = 60%   âˆ´ Required average = ( 60/10 )= 
( 60/10 ) = 6
6%   Answer 6%
Answer: C
If (x + 1)^2 = 144, which of the following could be the value of 2x?	Choose the correct choice from the following:
A) –26	B) –13	C) –10	D) 12	E) -21

Solution: You can also get to the answer by backsolving using answer choices   Starting with choice B = -13   (x + 1)^2 = 144   (-13 + 1)^2 = 144 =====> (-12)^2 = 144 Bingo, Clearly, among the answer choices only -13 will result in 144 in the equation so x must be -11,   Then 2x = 2 * -13 = -26   –26nswer: –26
Answer: A
A trader sells 78 meters of cloth for Rs. 6788 at the profit of Rs. 29 per metre of cloth. What is the cost price of one metre of cloth?  Choose the correct choice
A) 22  B) 75  C) 60  D) 58  E) 11

Solution: SP of 1m of cloth = 6788/78 = Rs. 87   CP of 1m of cloth = SP of 1m of cloth - profit on 1m of cloth   = Rs. 87 - Rs. 29 = Rs. 58.   Answer: 58
Answer: D
Special codes are designated by either a 6-letter or a 7-letter code that is created by using the 26 letters of the alphabet. Which of the following gives the maximum number of different codes that can be designated with this system?  Select the correct option.
A) 2 (26)^7
B) 26(26)^6
C) 27(26)^6
D) 26(26)^7
E) 27(26)^7

Solution: 26^6+26^7 = 26^6(1+26)=27*26^6   The answer is 27(26)^6.
Answer: C
In a certain alphabet, 11 letters contain a dot and a straight line. 24 letters contain a straight line but do not contain a dot. If that alphabet has 40 letters, all of which contain either a dot or a straight line or both, how many letters contain a dot but do not contain a straight line?  Choose the correct choice from the following answers
A) 5	B) 8	C) 14	D) 20	E) 28

Solution: We are told that all of the letters contain either a dot or a straight line or both, which implies that there are no letters without a dot and a line (no line/no dot box = 0).   First we find the total # of letters with lines:  11 +24= 
 11 +24 = 35
35;   Next, we find the total # of letters without line:  40 - 35= 
 40 - 35 = 5
5;   Finally, we find the # of letters that contain a dot but do not contain a straight line: 5 - 0= 
5 - 0 = 5
5.   5
Answer: A
5 x 1.6 - 2 x 1.4/1.3 = ?	Answers.
A) 0.2	B) 0.9	C) 1.4	D) 4	E) None of them

Solution: Given Expression   = (8 - 2.8)/1.3   = 5.2/1.3   = 52/1.3   = 4.   Answer is 4.
Answer: D
A company, Chauncy Co., has an annual travel budget of $54,000. The accounting department estimates that transportation expenses will increase 5 percent in the coming year, and nontransportation travel expenses will increase by 15 percent in the coming year. Last year, Chauncy Co. spent $19,500 on transportation-related expenses, and $35,000 on nontransportation travel expenses. If the annual travel budget does not increase this year, and if the accounting department’s estimates are correct, how far over the annual travel budget will expenses be this year?	Choose the correct choice from the following
A) Expenses will not go over the budget. B) $500 C) $4,225 D) $6,725 E) $60,725

Solution: annual travel budget of $54,000   Let, Transportation expenses = T = 19500   and Non-Transportation expenses = N=35000   i.e. Increased Transportation expenses = 1.05T = 20475   and Increased Non-Transportation expenses = 1.15N = 40250   Total Expense = 20475+40250= 
20475+40250 = 60_725
60725   Expense over Budget= Budget - expense = 54000-60725 = 6725   Answer: Option $6,725
Answer: D
By selling 100 pencil, a trader gains the cost of 10 Pencil. Find his gain percentage? Answers.
A) 26 1/3%  B) 51 1/3%  C) 10%  D) 53 1/3%  E) 34 1/3%

Solution: C   10%   Let the CP of each pencil be Rs. 1.   CP of 100 pens = Rs. 100   Profit = Cost of 10 pencil = Rs. 10   Profit% = 10/100 * 100= 
10/100 * 100 = 10
10%
Answer: C
What is the length of a running train?
I. The train crosses a man in 9 seconds.
II.The train crosses a 240 metre long platform in 24 seconds.  Choose the correct choice from the following options:
A) I alone sufficient while II alone not sufficient to answer	B) II alone sufficient while I alone not sufficient to answer	C) Either I or II alone sufficient to answer	D) Both I and II are not sufficient to answer	E) Both I and II are necessary to answer

Solution: Explanation:   Time taken by train to cross a man = Length of train / Speed of train => Speed = L/9 …..(1)   Time taken by train to cross a platform = (Length of train + Length of platform) / speed of train speed = L+240/24 ……(2)   from (1) and (2), we get L/9 = (L+240)/24   Thus, l can be obtained. So both 1 and 2 are necessary to get the answer….   Answer Both I and II are necessary to answer
Answer: E
A pet store regularly sells pet food at a discount of 10 percent to 30 percent from the manufacturer’s suggested retail price. If during a sale, the store discounts an additional 20 percent from the discount price, what would be the lowest possible price of a container of pet food that had a manufacturer’s suggested retail price o f $ 35.00?	Choose one:  A) $ 10.00  B) $ 11.20  C) $ 14.40  D) $ 16.00  E) $ 19.60

Solution: For retail price = $35   First maximum discounted price = 35 - 30% of 35 = 35-10.5= 
35-10.5 = 24.5
24.5   Price after additional discount of 20%= 24.5 - 20% of 24.5 = 24.5- 4.9= 
24.5- 4.9 = 19.6
19.6   Answer: Option $ 19.60
Answer: E
Ifaequals the sum of the even integers from 2 to 20, inclusive, andbequals the sum of the odd integers from 1 to 19, inclusive, what is the value of (a + b)/2? Choose the correct choice from the following answers:	A) 100	B) 110	C) 105	D) 20	E) 215

Solution: Yes! there is really a faster way to solve it.   Sum of consecutive odd or even integers = (no. of odd or even ints) * (first int + last int) / 2   Here A = sum of even ints from 2 to 20, inclusive   number of even ints = 10,   first int + last int = 2+20= 
2+20 = 22
22   A= 10*22 / 2= 
10*22 / 2 = 110
110   B= sum of odd ints from 1 to 19, inclusive   number of odd ints = 10,   first int + last int = 1+19= 
1+19 = 20
20   A= 10*20 / 2= 
10*20 / 2 = 100
100   (A+B)/2= 110 + 100= 
110 + 100 = 210
210/2= 
210/2 = 105
105   Ans : 105
Answer: C
SHOW TIMER STATISTICS
It takes 3 tons of copper ore and 5 tons of iron ore to make one ton of alloy A. How many tons of alloy A can be made from 60 tons of copper ore and 90 tons of iron ore?	Choose the correct choice.
A) 18 B) 18 3/4 C) 20 D) 30 E) 50

Solution: 3c + 5i = a   60c + 90i = ?   20(3c + 5i) = 60c + 100i = 20a, so the answer has to be less than 20 since we are dealing with 90i.   But, 18(3c + 5i) = 54c + 90i = 18a, here we get 54c < 60c. So answer must be 18 3/4 (B).   ANSWER:18 3/4
Answer: B
How long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 340 m in length? Pick one.
A) 18.9 sec  B) 88.9 sec  C) 22.9 sec  D) 27.00 sec  E) 72.0 sec

Solution: 27.00 sec = 110 + 340= 
110 + 340 = 450
450 m   S= 60 * 5/18 = 50/3   T = 450 * 3/50= 
450 * 3/50 = 27
27.00 sec   Answer: 27.00 sec
Answer: D
When an amount was distributed among 14 boys, each of them got $80 more than the amount received by each boy when the same amount is distributed equally among 18 boys. What was the amount?
Choose the correct option:	A) 5050	B) 5020	C) 5040	D) 5030	E) 5075

Solution: Let the total amount be Rs. X the,   x/14 - x/18 = 80 ==> 2x/126 = 80 ==> x/63 = 63 x 80 = 5040.   Hence the total amount is 5040.   Answer 5040.
Answer: C
10 books are placed at random in a shelf. The probability that a pair of books will always be together is -.	Pick one:	A) 1/2	B) 1/10	C) 1/3	D) 1/8	E) 1/5

Solution: 10 books arranged ==>9!2!   req prob = 1/5   ANSW1/5R 1/5
Answer: E
If selling price is doubled, the profit triples. Find the profit percent?	Choose the correct answer:
A) 100%
B) 110%
C) 120%
D) 140%
E) 150%

Solution: Let C.P. be Rs. x and S.P. be Rs. y.   Then, 3(y - x) = (2y - x) y = 2x.   Profit = Rs. (y - x) = Rs. (2x - x) = Rs. x.   Profit % = x/x	x 100	% = 100%   100%)
Answer: A
Dacid obtained 76, 65, 82, 67 and 85 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks? Options:	A) 98	B) 78	C) 76	D) 87	E) 75

Solution: Average = (76 + 65 + 82 + 67 + 85)/5   = 375/5= 
375/5 = 75
75.   Answer: 75
Answer: E
If money is invested at r percent interest, compounded annually, the amount of the investment will double in approximately 24/r years. If Pat's parents invested $6,000 in a long-term bond that pays 8 percent interest, compounded annually, what will be the approximate total amount of the investment 18 years later, when Pat is ready for college?  Choices
A) $20000  B) $15000  C) $12000  D) $10000  E) $30000

Solution: Since investment doubles in 24/r years, then for r=8 it'll double in   24/8= 
  24/8 = 3
~3 years (we are not asked about the exact amount so such an approximation will do). Thus after 18 years investment will become $5,000*6=$30,000 .   Answer: $30000.
Answer: E
A man weighs 300 pounds and has enough food for his diet plan for 50 days. After 10 days he decides he is happy with the weight loss results and changes his diet plan so that the remaining food will now be enough for the same period of 50 days as before. How many pounds did he lose?  Choose the correct choice.
A) 20
B) 30
C) 40
D) 50
E) 60

Solution: 300 ---- 50   300 ---- 40   x ---- 50   x*50 = 300*40   x = 240   300   -------   60   Answer = 60
Answer: E
A can do a piece of work in 4 hours; B and C together can do it in 3 hours, while A and C together can do it in 3 hours. How long will B alone take to do it? Choose the correct choice:	A) 12	B) 9	C) 8	D) 6	E) 4

Solution: A's 1 hour's work = 1/4 ;   (B + C)'s 1 hour's work = 1/3 ;   (A + C)'s 1 hour's work = 1/3.   (A + B + C)'s 1 hour's work = ( 1/4 + 1/3 ) =7/12 .   B's 1 hour's work = ( 7/12 - 1/3) = 1/4.   Therefore A alone will take 4 hours to do the work.   4
Answer: E
A man can row upstream at 22 kmph and downstream at 42 kmph, and then find the speed of the man in still water?
Choose the correct answer:
A) 29
B) 92
C) 30
D) 32
E) 23

Solution: US = 22   32S = 42   M = (42 + 22)/2= 
(42 + 22)/2 = 32
32   Answer:32
Answer: D
A batsman's avg in 12 innings is 24.00. If his avg is to be double of the no of innings (15 innings), what should he score in the remaining three innings (avg)?	Answers: A) 143 B) 144 C) 145 D) 146 E) 147

Solution: let total runs done by a batsman in 12 innings be x   therefore,   x/12=24 that means x=12*24= 
12*24 = 288
288 runs   for 15 innings, avg was doubled i.e.. 48.00   therefore,   (x+y)/15=48 where y is the no of runs done in last 3 innings   y=432   therefore average is 432/3= 
432/3 = 144
144   ANSWER:144
Answer: B
A train running at a speed of 60 kmph crosses a pole in 18 seconds.What is the length of the train?
Choose the correct choice from the following answers
A) 120 m
B) 300 m
C) 190 m
D) 150 m
E) 160 m

Solution: 60 kmph=50/3 m/sec   50/3*18= 
50/3*18 = 300
300 m   ANSWER:300 m
Answer: B
1/3 of a certain journey is covered at the rate of 25km/hr,1/4 at the rate of 30 km/hr and the rest is 50 km/hr.the avg speed for the whole journey is :  Select:
A) 30 km/hr
B) 33 km/hr
C) 33 1/3 km/hr
D) 37 1/12 km/hr
E) 37 km/hr

Solution: let assume total distance will be 120km then   distance traveled at teh speed 25km/hr=1/3*120= 
1/3*120 = 40
40km the time=40/25= 
40/25 = 8/5 = around 1.6
1.6hrs   distance traveled at the speed 30km/hr=1/4*120= 
1/4*120 = 30
30kmthe time is=30/30= 
30/30 = 1
1 hr   then remaining distance is 120-40-30= 
120-40-30 = 50
50km   the time taken to travel 50km=50/50= 
50/50 = 1
1hr   so total time is=1.6+1+1= 
1.6+1+1 = 3.6
3.6 hrs   so avg speed=120/3.6=33.33km/hr   ANSWER:33 1/3 km/hr
Answer: C
In a partnership between Rose, Ben and Christine, Rose's capital is Rs.12000. If her share of a profit of Rs.6000 is Rs.3000 and Christine's share is Rs.1250, what is Ben's capital?  Choose the correct option
A) 6200	B) 5200	C) 4500	D) 6240	E) 1223

Solution: 3000 + 1250 = 330   6000 - 4250 = 1550   3000 ---- 12000   1550---- ? => 6200   6200NSWER:6200
Answer: A
Expenditures of a Company (in Lakh Rupees) per Annum Over the given Years.
Year	Item of Expenditure
Salary	Bonus Transport Fuel	Interest on Loans	Taxes
1998	288	98	3.00	23.4	83
1999	342	112	2.52	32.5	108
2000	324	101	3.84	41.6	74
2001	336	133	3.68	36.4	88
2002	420	142	3.96	49.4	98
The total amount of bonus paid by the company during the given period is approximately what percent of the total amount of salary paid during this period? Answers:
A) A)1%	B) B)1.5%	C) C)1.25%	D) D)3%	E) E)4%

Solution: Required percentage   =(288 + 342 + 324 + 336 + 420)   =	[	17	x 100	]	%   1710   ~= 1%.   1%nswer : 1%
Answer: A
Find the average of the series : 80, 320, 100, 328 and 147?  Pick
A) 174  B) 195  C) 190  D) 185  E) 171

Solution: Average = (80 + 320 + 100 + 328 + 147)/5   = 975/5= 
975/5 = 195
195   Answer: 195
Answer: B
If 42 men do a work in 25 days, in how many days will 50 men do it?  Choose the most appropriate option.
A) 23
B) 22
C) 19
D) 20
E) 21

Solution: 42 * 25 = 50 * x   x = 21 days   Answer: 21
Answer: E
At what price must an article costing Rs.200 be marked in order that after deducting 10% from the list price. It may be sold at a profit of 20% on the cost price? Choose the most appropriate option:
A) 62.5	B) 62.0	C) 266.67	D) 62.1	E) 62.2

Solution: 266.67P = 200   SP = 200*(120/100)= 
200*(120/100) = 240
240   MP*(90/100)= 240   MP = 266.67   Answer: 266.67
Answer: C
A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of man is :  Choose the correct choice from the following options
A) 12 kg	B) 60 kg	C) 72 kg	D) 96 kg	E) None of these

Solution: Solution   Volume of water displaced = (3 × 2 × 0.01) m3 = 0.06 m3.   ∴ Mass of man = Volume of water displaced × Density of water   = (0.06 × 100)kg = 60 kg.   Answer 60 kg
Answer: B
A man buys an item at Rs. 1300 and sells it at the loss of 20 percent. Then what is the selling price of that item Select:  A) Rs. 660  B) Rs. 760  C) Rs. 860  D) Rs. 1040  E) None of these

Solution: Explanation:   Here always remember, when ever x% loss,   it means S.P. = (100 - x)% of C.P   when ever x% profit,   it means S.P. = (100 + x)% of C.P   So here will be (100 - x)% of C.P.   = 80% of 1300   = 80/100 * 1300= 
80/100 * 1300 = 1_040
1040   Option Rs. 1040
Answer: D
In a bag there are coins of 50 paisa, 25 paisa and one rupee in the proportion 5:6:2. If there are in all Rs.42, the number of 25 paisa coins is?  Options
A) 38
B) 42
C) 28
D) 25
E) 12

Solution: 5x 6x 2x   50 25 100   250x + 150x + 200x = 4200   600x = 4200   x = 7 => 6x = 42   Answer: 42
Answer: B
A certain manufacturer produces items for which the production costs consist of annual fixed costs totaling $130,000 and variables costs averaging $11 per item. If the manufacturer’s selling price per item is $15, how many items the manufacturer produce and sell to earn an annual profit of $150,000?	Pick.
A) 2,858	B) 8,667	C) 21,429	D) 35,000	E) 70,000

Solution: Let the items manufactured or sold bex   130000+11x = 15x-150000   4x = 280000   x = 70000   Ans:70,000
Answer: E
Mrs. Rodger got a weekly raise of $185. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.  Choose the most appropriate option:	A) $204	B) $231	C) $156	D) $185	E) $200

Solution: Let the 1st paycheck be x (integer).   Mrs. Rodger got a weekly raise of $ 185.   So after completing the 1st week she will get $ (x+185).   Similarly after completing the 2nd week she will get $ (x + 185) + $ 185.   = $ (x + 185 + 185)   = $ (x + 370)   So in this way end of every week her salary will increase by $ 185.   $185
Answer: D
Find the area of a parallelogram with base 26 cm and height 16 cm?  Choose the correct choice from the following answers
A) 297 cm2	B) 384 cm2	C) 672 cm2	D) 416 cm2	E) 286 cm2

Solution: Area of a parallelogram   = base * height   = 26 * 16= 
26 * 16 = 416
416 cm2   Answer: 416 cm2
Answer: D