MU-NLPC/Calc-aqua_rat huggingface dataset:
Compound interest earned on a sum for the second and the third years are Rs.1200 and Rs.1440 respectively. Find the rate of interest?	Choose the correct choice from the following.
A) 65% p.a  B) 88% p.a  C) 20% p.a  D) 66% p.a  E) 44% p.a

Solution: Rs.1440 - 1200 = Rs.240 is the interest on Rs.1200 for one year.   Rate of interest = (100 * 240) / (100 * 1) = 20% p.a   Answer: 20% p.a
Answer: C
A certain rectangular window is (1/3) times as long as it is wide. If its perimeter is 28 feet, what are its dimensions in terms of length by width?
Choose the correct option
A) 12 by 2	B) 11 by 3	C) 10.5 by 3.5	D) 10 by 4	E) 9 by 3

Solution: 2x+2y=28   x+y=14   x+(1/3)x=14   4x=14*3   x=10.5   Answer 10.5 by 3.5
Answer: C
In how many years Rs 100 will produce the same interest at 5% as Rs. 200 produce in 2 years at 10% Choose the correct choice from the following answers:
A) 8	B) 10	C) 9	D) 12	E) 11

Solution: Explanation:   Clue:   Firstly we need to calculate the SI with prinical 200,Time 2 years and Rate 10%, it will be Rs. 40   Then we can get the Time as   Time = (100*40)/(100*5)= 
(100*40)/(100*5) = 8
8   Option 8
Answer: A
A committee of three students has to be formed. There are seven candidates: Jane, Joan, Paul, Stuart, and Jessica. If Paul and Stuart refuse to be in the committee together and Jane refuses to be in the committee without Paul, how many committees are possible?  Select.
A) 3	B) 4	C) 5	D) 6	E) 8

Solution: Let's try a different problem with your approach. There are five people: A, B, C, D, E. Need to chose 3 for a committee. A and B cannot be chosen together. B and C cannot be chosen together. How many options?   Your approach: total 10 options, 5c3.   Now, assume the wrong scenario where A and B are chosen together. There are three such scenarios. (A and B are chosen, just need one more person.) So we have to subtract the three wrong options. Similarly, there are three wrong scenarios where B and C are chosen together.   This gives us   10-3-3= 
  10-3-3 = 4
4 as the answer.   Yet this answer is wrong. There are five possibilities: ACD, ACE, ADE, BDE, CDE.   8
Answer: E
A library has an average of 600 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is: Pick
A) 250 B) 260 C) 300 D) 285 E) None

Solution: Since the month begins with sunday,to there will be five sundays in the month   Average required = (600x5 + 240x25) /30) = 300   Answer: Option 300
Answer: C
What is the length of the longest pole which can be kept in a room 12 m long, 4 m broad and 3 m high?  Choose the most appropriate option.
A) 7  B) 9  C) 11  D) 13  E) None

Solution: Explanation:   d2 = 122 + 42 + 32 = 13   13)
Answer: D
At the faculty of Aerospace Engineering, 312 students study Random-processing methods, 222 students study Scramjet rocket engines and 112 students study them both. If every student in the faculty has to study one of the two subjects, how many students are there in the faculty of Aerospace Engineering? Choose the correct choice from the following choices.
A) 404	B) 452	C) 444	D) 468	E) 422

Solution: 312 + 222 - 112 (since 112 is counted twice )= 422   422 is the answer
Answer: E
A shopkeeper buys two articles for Rs.1000 each and then sells them, making 15% profit on the first article and 15% loss on second article. Find the net profit or loss percent?  Choose the correct choice from the following options
A) 200  B) 768  C) 150  D) 280  E) 279

Solution: Profit on first article = 150% of 1000 = 150.   This is equal to the loss he makes on the second article. That, is he makes neither profit nor loss.   Answer: 150
Answer: C
Find the invalid no.from the following series 2,3,12,37,86,166,288	Choose the correct choice from the following choices
A) 2  B) 3  C) 166  D) 12  E) 288

Solution: 3-2= 
3-2 = 1
1   12-3= 
12-3 = 9
9   37-12= 
37-12 = 25
25   86-37= 
86-37 = 49
49   166-86= 
166-86 = 80
80(this must be 81=167-86= 
167-86 = 81
81)   so wrong number in the sequence is 166   difference between two sucessive numbers sequence would be   1,9,25,49,81,121(square of 1,3,5,7,9,11)   166
Answer: C
The volumes of two cones are in the ratio 1 : 12 and the radii of the cones are in the ratio of 1 : 3. What is the ratio of their heights?
Pick:	A) A)3:4	B) B)2:7	C) C)2:2	D) D)2:1	E) E)2:9

Solution: The volume of the cone = (1/3)πr2h   Only radius (r) and height (h) are varying.   Hence, (1/3)π may be ignored.   V1/V2 = r12h1/r22h2 => 1/12 = (1)2h1/(3)2h2   => h1/h2 = 3/4   i.e. h1 : h2 = 3: 4   3:4nswer: 3:4
Answer: A
In a room there are 8 people. Each person shook hands with every other person. How many hand shakes were there?  Pick
A) 26  B) 28  C) 30  D) 32  E) 34

Solution: 8C2 = 28   The answer is 28.
Answer: B
The average (arithmetic man) of three integers a, b, and c is exactly four times the median. If a < b < c and a = 0, what is the value of c/b?
Options:
A) 2	B) 3	C) 4	D) 11	E) Cannot be determined from the information given.

Solution: The average of three integers a, b, and c is exactly twice the median --> (a+b+c)/3=4b --> since a=0, then (0+b+c)/3=4b --> c=11b --> c/b=11.   Answer: 11.
Answer: D
If f(x)= 5x^2- 2x+6 and g(y)= 3y-4, then g(f(x))  Choose the correct choice from the following:
A) 82x^2-9x+38
B) 15x^2-6x+14
C) 58x^2-4x+58
D) 87x^2-5x+96
E) 98x^2-7x+94

Solution: g(f(x))=3(5x^2-2x+6)-4   =15x^2-6x+18-4   =15x^2-6x+14   the answer is 15x^2-6x+14
Answer: B
In a village there are 150 men and 90 women in present time.if in next year population will be P=(a^2 +b^2)^1/2 , and in every year men are reduces 8%.what is population of after 2 year.  Choose the correct choice from the following answers.
A) 140 B) 141 C) 142 D) 143 E) 144

Solution: next year total population=[150^2+90^2]^.5=174.92=175   man decreased by 8% so total man =150*.92= 
150*.92 = 138
138   women will be= 175-138= 
175-138 = 37
37   so population after two years= [135^2+37^2]^.5=142.87=143   so population after two year= 143   ANSWER:143
Answer: D
Ramesh spends 50% of his monthly salary on food, and saves 90% of the remaining amount. If his monthly salary is Rs.10,000, how much money does he save every month ?	Choose the correct choice from the following answers:
A) Rs.2500  B) Rs. 4500  C) Rs.8000  D) Rs.3000  E) Rs.1000

Solution: Explanation:   Ramesh's monthly income = Rs.10,000   He spends 50% on food.   The total money spent on food = 50/100 * 10000 = Rs. 5000   Now, his monthly remaining income = Rs.10000 – Rs.500 = Rs. 5000   Out of Rs. 5000, he saves 90%.   Amount saved = 90/100 * 5000 = Rs. 4500   ANSWER:Rs. 4500
Answer: B
A rectangular room 14 m long, 12 m broad is surrounded by a varandah, 3 m wide. Find the area of the varandah?
Choose the correct choice from the following choices.
A) 170	B) 180	C) 190	D) 210	E) 150

Solution: Area of varandah = (l+b+2p)2p   = (14 + 12 + 6 ) 6   = 180 m(power)2   Answer is 180.
Answer: B
What is the probability that a 3 person committee chosen at random from a group consisting of 6 men, 7 women, and 5 children contains exactly 1 woman?  Pick one
A) 77/204	B) 77/832	C) 11/77	D) 385/816	E) 22/832

Solution: Total possible selections = 3 out of 18 group members = 18C3   Favorable selections = 1 out of 7 women and 2 out of 11 (= 6 men + 5 children) = 7C1 * 11C2   Thus the required probability = 7C1*11C2 / 18C3 = 385/816. Thus 385/816 is the correct answer.
Answer: D
If you multiply all the numbers on your mobile phone except 0, what is the answer?
Choose one.
A) 256485  B) 362880  C) 125425  D) 0  E) 125826

Solution: We have to multiply 1 to 9 to find the answer.   Therefore  1*2*3*4*5*6*7*8*9= 
 1*2*3*4*5*6*7*8*9 = 362_880
362880   Answer is 362880
Answer: B
The variable x is inversely proportional to the square of the variable y. If y is divided by 2a, then x is multiplied by which of the following?	Choose the correct choice from the following choices.
A) 1/4a	B) 1/4a^2	C) 1/2a	D) 4a	E) 4a^2

Solution: initially - did x= 1/y^2   But this yielded the wrong answer,   I then re examined the question and tried y^2/x =1   Which I then got y = SQR(X)   subbing into y/2a I got answer 4a^2)
Answer: E
9 spheres of the same size are made from melting a solid cylinder of 16 cm diameter and 12 cm height. What is the diameter of each sphere? Answers:
A) 4 cm
B) 6 cm
C) 8 cm
D) 10 cm
E) 12 cm

Solution: Volume of cylinder = pi*r^2*h   Volume of a sphere = 4*pi*R^3 / 3   9*4*pi*R^3 / 3 = pi*r^2*h   R^3 = r^2*h / 12 = 64 cm^3   R = 4 cm   D = 8 cm   The answer is 8 cm.
Answer: C
In how many ways Chief Minister and Minister be elected froma team of 12 members?
Select.
A) 126	B) 128	C) 132	D) 146	E) 147

Solution: To do this, if captain is elected first, then we have 12 ways of doing this.   For election of vice-captain, we have only 11 ways left, coz 1 way is already consumed. (Situations like this is called dependent situation. One selection depends upon other selection.)   So, the ans is 12*11= 
12*11 = 132
132 ways.   132
Answer: C
If 20% of a = b, then b% of 20 is the same as :  Choose the correct option
A) 4% of a
B) 6% of a
C) 8% of a
D) 10% of a
E) 12% of a

Solution: Explanation:   20% of a = b =>20/100 a=b   b% of 20 =b/100 x 20 =20 a/100 x 1/100 x 20 =4a/100 =4% of a.   4% of aNSWER IS 4% of a
Answer: A
The greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm, 12 m
95 cm is  Pick: A) 16cm B) 25cm C) 15cm D) 35cm E) 45cm

Solution: Explanation:   So by now, you must be knowing this is a question of HCF, right.   H.C.F. of (700 cm, 385 cm, 1295 cm) = 35 cm.   Answer: Option 35cm
Answer: D
The boat moves downside 100km and upside 20km in 2 hours each. Then find the boat speed in still water?	Pick.
A) 15km/hr	B) 25km/hr	C) 30km/hr	D) 20km/hr	E) 40km/hr

Solution: Down stream = 100/2= 
100/2 = 50
50km/hr   Up stream= 20/2= 
20/2 = 10
10km/hr   speed of boat in still water= 60/2= 
60/2 = 30
30km/hr   Answer is 30km/hr
Answer: C
Find the odd man out
253, 136, 352, 326, 631, 244 Choose one
A) 326
B) 136
C) 352
D) 631
E) 531

Solution: The sum all three digits comes to 10 except 326   326NSWER:326
Answer: A
When four fair dice are rolled simultaneously, in how many outcomes will at least one of the dice show 3?	Select the correct option:  A) 238  B) 671  C) 297  D) 200  E) 211

Solution: When 4 dice are rolled simultaneously, there will be a total of 6 x 6 x 6 x 6   = 1296 outcomes.   The number of outcomes in which none of the 4 dice show 3 will be 5 x 5 x 5 x 5   = 625 outcomes.   Therefore, the number of outcomes in which at least one die will show 3 = 1296 – 625   = 671   Answer: 671
Answer: B
Eight persons participated in a shooting competition. The top score in the competition is 85 points. Had the top score been 92 points instead of 85 points, the average score would have been 84. Find the number of points actually scored in the competition.
Pick one:
A) 645 B) 655 C) 665 D) 636 E) 656

Solution: Let the actual number of points scored be x,   Then [ x + (92 –85 )] /8 = 84, ( x + 7) /8 = 84 , x = ( 84*8 )- 7,   = 672 - 7= 
672 - 7 = 665
665   ANSWER:665
Answer: C
Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is Answers
A) 5/18
B) 5/12
C) 5/15
D) 5/14
E) 5/11

Solution: Using question number 11 and 12, we get the probability as   1 - (1/36 + 5/9) = 5/12.Answer:5/12
Answer: B
In May, Xiang sold 15 used cars. For these 15 cars, the range of the selling price was $15,000 and the lowest selling price was $4,500. In June, Xiang sold 10 used cars. For these 10 cars, the range of the selling prices was $16,500 and the lowest selling price was $6,500. What was the range of the selling prices of the 25 used cars sold by Xiang in May and June?  Choose the correct choice from the following answers:
A) 1. $15,600  B) 2. $15,750  C) 3. $16,820  D) 4. $18,500  E) 5. $19,200

Solution: Edited the question as there was a typo.   Range = Highest Value - Lowest Value.   Range in May was 15,000 and the lowest price in May was 4,500, thus the highest price in May was 15,000+4,500=19,500.   Range in June was 16,500 and the lowest price in June was 6,500, thus the highest price in June was 16,500+6,500=23,000.   Lowest price of a car in May-June was 4,500 (May) and the highest price of a car in May-June was 23,000, thus the range for May-June is 23,000-4,500=18,500.   Answer: 4. $18,500.
Answer: D
Three candidates contested an election and received 1130, 7630 and 15620 votes respectively. What percentage of the total votes did the winning candidate get?	Choose the correct choice from the following options.
A) 57%  B) 60%  C) 64%  D) 90%  E) 80%

Solution: total votes are 24380 ( sum of votes obtained by 3 candidates)   percentage of the total votes recd by the winning candidate = 100*15620/24380 = 64%   ANSWER:64%
Answer: C
What least value should be replaced by * in 2551112* so the number become divisible by 6
Select
A) 3	B) 4	C) 5	D) 6	E) 7

Solution: Explanation:   Trick: Number is divisible by 6, if sum of all digits is divisible by 3 and 2, so (2+5+5+1+1+1+2+*) = 17+* should be divisible by ,   17+1 will be divisible by 3,   but we can't take this number because 1 is not dividable by 2(2 only dividable by those numbers who contain even number at last position)   so that least number is 4.   Answer: Option 4
Answer: B
A new condo development is offering buyers the option to choose from 4 different counter top styles, 5 floor types and 4 colors of paint. In order to keep costs to the minimum, the buyer would like to choose from the lower cost options. In how many ways can 3 styles of counter tops, 2 colors floor types, and 3 colors of paint be selected from the given group?
Select the correct option
A) 112 ways
B) 99 ways
C) 80 ways
D) 64 ways
E) 12 ways

Solution: The number of ways of selecting three styles of counter tops, two floors and three colors of paint is:   = ⁴C₃ * ⁵C₂ * ⁴C₃   = (4 * 3 * 2)/(3 * 2 * 1) * (5 * 4)/(2 * 1) * (4 * 3)/(3 * 2 * 1)   = 4 * 10 * 2= 
4 * 10 * 2 = 80
80 ways.   Answer: 80 ways
Answer: C
An inspector rejects 0.08% of the meters as defective. How many will he examine to reject 2?  Options:  A) 1200  B) 1240  C) 1852  D) 3200  E) 2500

Solution: Then, 0.08% of x = 2   (8/100)*(1/100)x = 2   x = (2*100*100)/8= 
(2*100*100)/8 = 2_500
2500   Answer is 2500
Answer: E
A certain sum of money is divided among A, B and C such that A gets one-third of what B and C together get and B gets two-seventh of what A and C together get. If the amount received by A is $30 more than that received by B, find the total amount shared by A, B and C.	Choose the correct choice from the following answers:	A) $1080	B) $1180	C) $1280	D) $1380	E) $1480

Solution: $1080 = 1/3 (B+C) => C = 3$1080 - B ---(1)   B = 2/7 ($1080+C) => C = 3.5 B - $1080 --(B)   $1080-B = $30   $1080 = 30+B   (1)===> C = 90+3B - B = 2B+90 ==> 2B-C = -90 ---(3)   (2)===> C = 3.5 B - B-30 = 2.5B-30==>2.5B-C = 30---(4)   from (4) and (3) 0.5B = 120   B = $240   $1080= $270   C =810-240= 
810-240 = 570
$570 Total amount= 270+240+570= 
270+240+570 = 1_080
$1080   $1080nswer: $1080
Answer: A
How many prime numbers are between 51/13 and 89/9?  Choose the most appropriate option:
A) 0  B) 1  C) 2  D) 3  E) 4

Solution: 51/13= 4-   89/9= 10-   Prime numbers between 4 and 10 are 5 and 7   - sign signifies that the number is marginally less .   Answer 2
Answer: C
If the area of a square with sides of length 4 centimeters is equal to the area of a rectangle with a width of 4 centimeters, what is the length of the rectangle, in centimeters?	Choose the correct choice from the following:
A) 14	B) 8	C) 12	D) 4	E) 18

Solution: Let length of rectangle = L   4^2 = L*4   => L = 16/4= 
16/4 = 4
4   Answer 4
Answer: D
How much 45% of 60 is greater than 35% of 40?
Choose one
A) 18  B) 13  C) 15  D) 17  E) 71

Solution: (45/100) * 60 – (35/100) * 40   27 - 14= 
27 - 14 = 13
13   Answer: 13
Answer: B
For a certain alarm system, each code is comprised of 5 digits, but no digit can be used more than twice. How many codes can be made?	Choose the correct choice from the following options:	A) 30,240	B) 60,480	C) 91,440	D) 98,240	E) 101,040

Solution: Case 1: All digits distinct   Select 5 digits out of 10 in 10C5 ways and arrange them in 5! ways which gives us 10C5x5! = 30240   Case 2: Two digits are same, other 3 are distinct e.g. 45722   Select a digit which is to be repeated in 10C1 ways, select other 3 digits in 9C3 ways and arrange them in 5!/2! ways to get 10C1 x 9C3 x 5!/2! = 50400 ways   Case 3: Two digits repeated and one other digit e.g. 33448   Select 2 digits to be repeated in 1091,4402 ways, select the single digit in 891,4401 ways and arrange them all in 5!/2!.2! ways to get 1091,4402 x 891,4401 x 5!/2!.2! = 10800   Sum of all = 30240 + 50400 + 10800= 
30240 + 50400 + 10800 = 91_440
91440 ways   ANS:91,440
Answer: C
There are five newly appointed teachers in a college. The weight of first teacher is 200 kg and the weight of the 2nd teacher is 20% higher than the weight of the third teacher, whose weight is 25% higher than the first teacher's weight. The fourth teacher at 350 kgs is 30% lighter than the fifth teacher. Find the average weight of all the five teachers.  Choose the correct choice from the following choices.
A) 310  B) 320  C) 240  D) 260  E) 270

Solution: Explanation :   Weight of first teacher = 200 kg   Weight of 3rd teacher = 250kg   => Weight of 2nd teacher = 300 kg   Weight of 4th teacher = 350 kg   => Weight of 5th teacher = 350/0.7= 
350/0.7 = 500
500 kg   Average weight= 1600/5= 
1600/5 = 320
320 kg.   Answer : 320
Answer: B
A professional athlete was offered a three-year contract to play with Team K that provided for an annual salary of $100,000 in the first year, an increase in annual salary of 20% over the previous year for the next two years, and a bonus of $50,000 on signing. Team L offered a three-year contract providing for an annual salary of $150,000 in the first year, an increase in annual salary of 20% over the previous year for the next two years, and no signing bonus. If he accepts the offer of Team L and fulfills the three-year contract terms, the athlete will receive how much more money by choosing Team L over Team K ?  Choose the correct choice from the following answers
A) $132,000  B) $50,000  C) $82,500  D) $92,000  E) $100,000

Solution: Team K's contract = $100,000 + $100,000*1.2 + $100,000*1.2*1.2 + $50,000 = $414,000   Team L's contract = $150,000 + $150,000*1.2 + $150,000*1.2*1.2 = $546,000   The difference = $132,000.   $132,000nswer: $132,000.
Answer: A
What is the length of the longest pole which can be kept in a room 12 m long, 4 m broad and 3 m high?
Choose the correct choice from the following answers.
A) 10 cm B) 12 cm C) 15 cm D) 13 cm E) 16 cm

Solution: d2 = 122 + 42 + 32 = 13   ANSWER:13 cm
Answer: D
The table below shows how many coaches work with each of the major sports teams at Kristensen School. Although no single coach works with all three teams, 3 coaches work with both the Track and Tennis teams, 2 coaches work with both the Track and Baseball teams, and 1 coach works with both the Tennis and Baseball teams. How many different coaches work with these three teams?
Sports No of coaches
Track 7
Tennis 5
Baseball 4  Options.
A) 6
B) 10
C) 11
D) 12
E) 17

Solution: X = 7+ 5 + 4 - (3 + 2 + 1)= 
7+ 5 + 4 - (3 + 2 + 1) = 10
10   Answer is 10
Answer: B
Braun invested a certain sum of money at 8% p.a. simple interest for 'n' years. At the end of 'n' years, Braun got back 5 times his original investment. What is the value of n?	Options:
A) 50 years
B) 25 years
C) 12 years 6 months
D) 37 years 6 months
E) 40 years

Solution: Explanatory Answer   Let us say Braun invested $100.   Then, at the end of 'n' years he would have got back $500.   Therefore, the Simple Interest earned = 500 - 100= 
500 - 100 = 400
$400.   We know that Simple Interest= (Principal * number of years * rate of interest) / 100   Substituting the values in the above equation we get 400 = (100 * n * 8) / 100   Or 8n = 400   Or n = 50 years.   correct choice is (50 years)
Answer: A
John makes $40 a week from his job. He earns a raise and now makes $70 a week. What is the % increase?  Choose the correct choice from the following options.
A) 16%  B) 16.66%  C) 18%  D) 21%  E) 75%

Solution: Increase = (30/40)*100= 
(30/40)*100 = 75
75%.   75%
Answer: E
Of the 20 guests at a party, 10 percent are women. How many men must leave in order to bring the number of women up to 50 percent of the guests?	Choose the correct choice:
A) 18
B) 14
C) 16
D) 4
E) 2

Solution: Now, there are 2 women (10% of 20) and   20-2= 
  20-2 = 18
18 men at a party. We need there to be 2 women and 2 men, in this case there will be 50% women and 50% men.   Therefore  18-2= 
 18-2 = 16
16 men must leave.   Answer: 16.
Answer: C
The entire contents of a full sack of flour can be used to make 15 cupcakes and 10 pizzas. The same full sack of flour can be used to make 7 cupcakes and 14 pizzas. If a full sack of flour is used to make only pizzas, how many pizzas can be made?	Answers:  A) 10  B) 21 1/2  C) 18 3/4  D) 19  E) 19 1/4

Solution: 15x+10y=7x+14y   x=1/2y. Answer 21 1/2
Answer: B
A number consists of two digits. If 3/5 of 1/5 of the number is 9. Find the sum of its two digits?  Choose the correct choice from the following choices:  A) 28  B) 189  C) 17  D) 12  E) 01

Solution: Explanation:   x * 3/5 * 1/5 = 9   x = 75 => 7 + 5= 
7 + 5 = 12
12   Answer: 12
Answer: D
Set S is the prime integers between 0 and 35. If three numbers are chosen randomly from set S, what is the probability that the sum of these three numbers is odd?  Choose the most appropriate option: A) 15/56 B) 3/8 C) 15/28 D) 8/11 E) 3/4

Solution: Total number of combinations=11C3=165................(1)   Total number of combinations including 2 and two other numbers=10C2=45......................(2)   Therefore the difference ie. (1)-(2) is the set of 3 primes without 2=(165-45)= 
(165-45) = 120
120   So, probability=120/165=8/11   8/11
Answer: D
In wardrobe Karan has 3 trousers. One of them is grey the 2nd blue and the 3rd brown. In his wardrobe he also has 4 shirts. One of them is grey and the other 3are white. He opens his wardrobein the dark and pick out one shirttrouser pair without examination the color. What is the likelihood that neither the shirt nor the trouser is grey? Choose the correct choice from the following options.
A) 1/2
B) 2/3
C) 4/5
D) 6/11
E) 4/5

Solution: Probability that trouser is not grey = 2/3   Probability that shirt is not grey = 3/4   ∴ Required probability = 2/3 x 3/4 = 1/2   1/2
Answer: A
If 12 ounces of a strong vinegar solution are diluted with 50 ounces of water to form a five-percent vinegar solution, what was the concentration of the original solution?	Select
A) 19.3%	B) 25.8%	C) 16.67%	D) 15.5%	E) 12.5%

Solution: Let X be the quantity of non-vinegar in the strong vinegar solution   Thus vinegar quantity will be 12 - X   When 50 ounces of water were added the percentage of vinegar becomes 5%, thus (12 - X)/62 = 5/100   From this equation X = 8.9   Answer (12-8.9)/12 = 25.8%   ANSWER:25.8%
Answer: B
Lucy deposited $62500 in an investment fund that provided 24 percent annual return compounded half yearly.If she made no other transactions with the fund, in how much time, in years, did her investment earn a total interest of $10400? Pick.
A) 0.5 B) 1 C) 3 D) 6 E) 6.1

Solution: A = P + I = 62500 + 10400= 
62500 + 10400 = 72_900
72900   72900= 62500(1 + 24/2*100)^(2t)   (676/625) = (112/100)^(2t)   (27/25)^2 = (27/25)^2t   t = 1yrs =   Answer: 1
Answer: B
10 men and 15 women together can complete a work in 6 days. It takes 100 days for one man alone to complete the same work. How many days will be required for one woman alone to complete the same work?  Choose the correct choice:
A) 90  B) 125  C) 145  D) 225  E) None of these

Solution: 1 man’s 1 day’s work = 1⁄100   (10 men + 15 women)’s 1 day’s work = 1⁄6   15 women’s 1 day’s work   = (1⁄6 - 10⁄100) = (1⁄6 - 1⁄10) = 1⁄15   ∴ 1 woman’s 1 day’s work = 1⁄225   ∴ 1 woman alone can complete the work in 225 days   Answer 225
Answer: D