MU-NLPC/Calc-aqua_rat huggingface dataset:
A bundle of flowers consists of 5 focal flowers and 7 foliage fillers. If a bouquet is created with 3 focal flowers and 5 foliage fillers, in how many ways can an original bouquet be formed?  Choose the correct choice from the following options
A) 29	B) 30	C) 45	D) 204	E) 210

Solution: Choose 3 focal flowers from 5 focal flowers and choose 3 foliage fillers from 5 foliage fillers:   3C5 * 5C7 = 10*21= 
10*21 = 210
210   Ans: 204
Answer: D
In ten years, David will be four times as old as Aaron. Twenty years ago, David was twice as old as Ellen. If David is eleven years older than Ellen, how old is Aaron? Choose the correct choice from the following options.
A) 3–5
B) 6–10
C) 11–15
D) 16–20
E) 21–25

Solution: Let David's present age be 'd', 3–5aron's present age be 'a' and Ellen's present age be 'e'   In ten years, David will be four times as old as 3–5aron --> d+10 = 4(a+10)   Twenty years ago, David was twice as old as Ellen --> d-20 = 2(e-20)   David is seven years older than Ellen --> d = e + 11   e+11-20 = 2e-40   e-9 = 2e-40   e = 31   d = 42   52 = 4a + 40   a = 3   3–5nswer: 3–5
Answer: A
Trapezoid JKLM in the x-y plane has coordinates J = (–3, –4), K = (–3, 1), L = (5, 7), and M = (5, –4). What is its perimeter?	Options
A) 34	B) 36	C) 38	D) 40	E) (F) 42

Solution: JK = 5   LM = 11   KL =using distance formula 10   JM = using distance formula 8   Sum of all is 34   34
Answer: A
Two men starting from the same place walk at the rate of 5 kmph and 5.5 kmph respectively. What time will they take to be 8.5 km apart, if they walk in the same direction?	Select the correct option:
A) 12 hrs B) 14 hrs C) 15 hrs D) 17 hrs E) None

Solution: Sol.   to be 0.5 km apart, they take 1 hour.   To be 8.5 km apart, they take [1/0.5 * 8.5= 
1/0.5 * 8.5 = 17
17 hrs.   Answer 17 hrs
Answer: D
A car travels the first 1/3 of certain distance with a speed of 10km/hr the next 1/3 distance with a speed of 12 km/hr, and the last 1/3 distance with a speed of 60 km/hr. the average speed of the car for the whole journey is?  Choose the correct choice from the following options.
A) 12km/hr
B) 15km/hr
C) 89km/hr
D) 52km/hr
E) 79km/hr

Solution: Let the whole distance travelled be x km   and the average speed of the car for he whole journey be y km/hr   then (x/3)/10+(x/3)/12+(x/3)/60=x/y   x/30+x/36+x/180=x/y   1/15y=1   y=15km/hr   Answer(15km/hr)
Answer: B
A store owner estimates that the average price of type A products will increase by 25% next year and that the price of type B products will increase by 20% next year. This year, the total amount paid for type A products was $4500 and the total price paid for type B products was $8300. 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) $14,755
B) $15,585
C) $16,000
D) $16,225
E) $17,155

Solution: cost of type A products next year = 1.25 * 4500= 
1.25 * 4500 = 5_625
5625   cost of type $15,585 products next year= 1.2 * 8300= 
1.2 * 8300 = 9_960
9960   total 5625 + 9960= 
5625 + 9960 = 15_585
15585 option $15,585
Answer: B
5⁄7 of 4⁄15 of a number is 8 more than 2⁄5 of 4⁄9 of the same number. What is half of that number? Choose the correct choice.
A) 630
B) 315
C) 210
D) 105
E) None of these

Solution: Let the number be x.   ∴ 5⁄7 × 4⁄15 × x - 2⁄5 × 4⁄9 × x = 8   or, x = 8×31512=2108×31512=210   ∴ Half of the number = 105   Answer 105
Answer: D
Divide Rs. 1200 among A, B and C so that A receives 1/3 as much as B and C together and B receives 2/3 as A and C together. A's share is?	Pick.
A) s.800  B) s.400  C) s.600  D) s.500  E) s.300

Solution: A+B+C = 1200   A = 1/3(B+C); B = 2/3(A+C)   A/(B+C) = 1/3   A = 1/4 * 1200= 
1/4 * 1200 = 300
> 300   ANSWs.300R:s.300
Answer: E
If a(a + 5) = 6 and b(b + 5) = 6, where a ≠ b, then a + b =  Choose the most appropriate option:
A) −48  B) −5  C) 2  D) 46  E) 48

Solution: a(a + 5) = 6   => we have a = 1 or -6   also b(b + 2) = 6   => b = 1 or -6   given a ≠ b   1) when a =1, b= -6 and a + b = -5   1) when a = -6, b= 1 and a + b = -5   Answer choice −5
Answer: B
The ratio 5 : 4 expressed as a percent equals
Choose the correct choice:
A) 12.5%	B) 40%	C) 80%	D) 125%	E) None

Solution: Solution   5 : 4	= 5/ 4   = (5 / 4 x 100)%.   = 125 %.   Answer 125%
Answer: D
Two trains start simultaneously from opposite ends of a 175-km route and travel toward each other on parallel tracks. Train X, traveling at a constant rate, completes the 175-km trip in 4 hours. Train Y, travelling at a constant rate, completes the 175-km trip in 3 hours. How many kilometers had Train X traveled when it met Train Y?
Choose the correct option.
A) 66  B) 69  C) 72  D) 75  E) 78

Solution: If the two trains cover a total distance D, then Train X travels (3/7)*D while Train Y travels (4/7)*D. If the trains travel 175 km to the meeting point, then Train X travels  (3/7)*175= 
 (3/7)*175 = 75
75 km. The answer is 75.
Answer: D
If three distinct positive divisors of 128 are randomly selected, what is the probability that their sum will be less than 64?
Choose the most appropriate option
A) 1/3 B) 3/7 C) 5/14 D) 9/28 E) 21/56

Solution: The positive divisors are 1, 2, 4, 8, 16, 32, 64, 128.   If any of the first six are chosen, the sum will be less than 64.   P(sum is less than 64) = 6/8 * 5/7 * 4/6 = 20/56 = 5/14   The answer is 5/14.
Answer: C
A train is running at a speed of 40 km/hr and it crosses a post in
18 seconds. What is the length of the train?  Choose the correct choice from the following answers: A) 190 m B) 150 m C) 200 m D) 140 m E) 250 m

Solution: speed = 40 km/hr = 40 * 5/18 = 100/9 m/s   time = 18 sec   distance covered = 100/9 * 18= 
100/9 * 18 = 200
200 m   so length of the train is= 200 m   ANSWER 200 m
Answer: C
Joseph’s grade was in the 80th percentile out of 100 grades in his class. In another class of 60 students there were 15 grades higher than Joseph’s. If nobody had Joseph’s grade, then Joseph’s was what percentile of the two classes combined?
Select
A) 80	B) 78	C) 75	D) 60	E) 90

Solution: Being in 80% percentile out of 100 grades means Joseph was 81st (from the least grade) in the class (as long as nobody had Joseph’s grades), he outscored 80.   In another class his grade would rank him 46 (from the least grade out of 61, 60+Joseph), 45 had the grades lower than Amy.   So in combined classes he outscored 80+45= 
80+45 = 125
125. There are 160 students 125/160=0.78   Answer: B (78%)   Generally being in x% means that x% has the grades less than you.   Joseph in 80% --> he outscored 80% of of 100=80 (Joseph is 81st).   Of the 60 grades from another class, 15 were higher than Joseph 's, and the rest were lower --> rest is 45, hence Amy outscored 45.   So out of total  100+60= 
 100+60 = 160
160, Joseph outscored 80+45= 
80+45 = 125
125. Hence he is in 125/160=78%.   Answer: 78
Answer: B
ramu sells gud for 27 per kg. but he has two plates for wighting one plate is 10% shorter then other.. he put 1 kg weight on shorter plat and apple on other plat.. at the end their is no profit no loss..what is cost price of apple	Pick
A) 30	B) 35	C) 40	D) 45	E) 50

Solution: ramu is making profit of 10% on weight because he puts 1 kg on shorter site.   to balance this profit if there is decrease of 1/10 in weight then there should be increse of 1/9 in price so 1/9 of 27=3   cost price=27+3= 
27+3 = 30
30   ans=30   30NSWER:30
Answer: A
The number obtained by interchanging the two digits of a two-digit number is less than the original number by 45. If the sum of the two digits of the number so obtained is 13, then what is the original number? Choose the correct choice from the following:	A) 49	B) 94	C) 83	D) 38	E) 48.5

Solution: Let the number be in the form of 10a + b   Number formed by interchanging a and b = 10b + a.   a + b = 13 --- (1)   10b + a = 10a + b - 45   45 = 9a - 9b => a - b = 5 --- (2)   Adding (1) and (2), we get   2a = 18 => a = 9 and b = 4   The number is: 94.   ANSWER:94
Answer: B
Cereal A is 11% sugar by weight, whereas healthier but less delicious Cereal B is 2% sugar by weight. To make a delicious and healthy mixture that is 3% sugar, what should be the ratio of Cereal A to Cereal B, by weight?  Choices:
A) 2:9  B) 3:7  C) 2:5  D) 1:8  E) 1:5

Solution: 2% is 1%-points below 3% and 11% is 8%-points above 3%.   The ratio of A:B should be 1:8.   The answer is 1:8.
Answer: D
The compound interest earned by Sunil on a certain amount at the end of two years at the rate of 8% p.a. was Rs.2828.80. Find the total amount that Sunil got back at the end of two years in the form of principal plus interest earned? Choose the correct choice.
A) Rs.19828.87
B) Rs.19828.80
C) Rs.19828.18
D) Rs.19828.97
E) Rs.19828.88

Solution: Let the sum be Rs.P   P{ [ 1 + 8/100]2 - 1 } = 2828.80   P(8/100)(2 + 8/100)   = 2828.80 [a2 - b2 = (a - b) ( a + b)] P = 2828.80 / (0.08)(2.08)   = 1360/0.08= 
1360/0.08 = 17_000
17000 Principal + Interest= Rs.19828.80   Answer: Rs.19828.80
Answer: B
Out of 9 fruits in a basket, 2 are rotten. If two fruits are drawn at random from the basket, the probability of both being rotten is Choose the correct choice from the following answers:  A) 1/36  B) 10/36  C) 20/36  D) 11/36  E) 2/36

Solution: The number of exhaustive events = 9C2 = 36.   Let E be event of the 2 fruits being rotten. The number of favourable cases are   2C2 = 1 way.   Required probability = 1/36.   1/36NSWER:1/36
Answer: A
Tom and Bob have a total of 49 toys. If Bob has 5 more toys than Tom, how many toys does each one have?  Answers: A) 27 B) 32 C) 43 D) 54 E) 77

Solution: If 5 toys are taken out of 49 toys and the remaining ones distributed to Tom and Bob, they will both have equal numbers of toys   49 - 5= 
49 - 5 = 44
44 for Tom and Bob   If distributed equally, each one will have    44 / 2= 
 44 / 2 = 22
22 toys   Bob has 5 more toys than Tom, so Bob has     22 + 5= 
  22 + 5 = 27
27 toys   correct answer 27
Answer: A
If an amount of Rs 26000 is divided equally among
76 students, approximately how much amount will
each student get?	Answers.
A) Rs 206
B) Rs 400
C) Rs 420
D) Rs 218
E) None

Solution: Amount received by each student = 26000/65 â‰ˆ Rs   400   Answer Rs 400
Answer: B
10 binders can bind 1400 books in 21 days. How many binders will be required to bind 1800 books in 20 days?	Choose the correct answer
A) 87	B) 18	C) 17	D) 16	E) 12

Solution: Binders Books Days   10 1400 21   x 1600 20   x/10 = (1800/1400) * (21/20) => x = 12   Answer:12
Answer: E
Oranges are bought at 7 for Rs.4. At what rate per hundred must they be sold to gain 33%?
Choose the correct choice from the following:	A) 57	B) 58	C) 59	D) 54	E) 76

Solution: 7 oranges bought for rs 4   1 orange cost =4/7   therefore for 100 oranges =100*(4/7)   gain =33%    400/7+(33/100)*400/7= 
 400/7+(33/100)*400/7 = 76
rate per hundred he want to sell   ans :76   ANSW76R:76
Answer: E
Pipe A can fill a tank in 6 hours. Due to a leak at the bottom, it takes 9 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank?
Options.
A) 87
B) 16
C) 18
D) 19
E) 14

Solution: Let the leak can empty the full tank in x hours 1/6 - 1/x = 1/9   => 1/x = 1/6 - 1/9 = (3 - 2)/18 = 1/18   => x = 18.   Answer: 18
Answer: C
On a store counter are exactly two boxes containing only purple marbles and yellow marbles. Box A has 30 purple marbles and 20 yellow marbles; box B has 15 purple marbles and 35 yellow marbles. If Melanie randomly selects one of the boxes and then randomly selects one marble from the box, what is the probability that the marble selected will be purple?  Select the correct option:  A) 3/20  B) 3/10  C) 9/20  D) 3/5  E) 9/10

Solution: The question asks us to select a purple marble from either of the boxes. Here we need to select a box first(either A or B) and then select the marble from the box. So these events are AND events i.e. both need to be done to select a purple marble from the box. For an AND event we multiply the probability of the events. Hence the probability equation can be written as:   P(Selecting a purple marble) = P(selecting a box) * P(selecting purple marble from the selected box)   The probability of selecting either of the box is the same = 1/2   =1/2∗30/50+1/2∗15/50=9/20.   Answer:9/20
Answer: C
By selling a house for Rs.45000, it was found that 1/8 of the outlay was gained, what ought the selling to price to have been in order to have lost 5 p.c?
Choose the correct choice from the following options:	A) 91887	B) 38000	C) 38002	D) 38027	E) 38028

Solution: CP + CP/8 = 45000   CP = 40000   SP = 40000*(95/100)= 
40000*(95/100) = 38_000
38000   Answer: 38000
Answer: B
If the function f(x) is defined for all real numbers x as the maximum value of 2x + 4 and 16 + 6x, then for which one of the following values of x will f(x) actually equal 2x + 4 ?
Choose the correct answer
A) –4
B) –5
C) –6
D) –7
E) –9

Solution: Since f(x) defines maximum of 2x + 4 and 16 + 6x,   to find those x when 2x+4 has greater value,   2x + 4 > 16 + 6x   or x < -3   Only value that satisfy this is -4.   –4nswer is (–4),
Answer: A
Which greatest possible length can be used to measure exactly 15 meter 75 cm, 11 meter 25 cm and 7 meter 65 cm
Choose the correct choice
A) 45cm  B) 255cm  C) 244cm  D) 55cm  E) 50cm

Solution: Explanation:   Convert first all terms into cm.   i.e. 1575 cm, 1125cm, 765cm.   Now whenever we need to calculate this type of question, we need to find the HCF. HCF of above terms is 255.   Option 45cm
Answer: A
A grocery store bought some mangoes at a rate of 5 for a dollar. They were separated into two stacks, one of which was sold at a rate of 3 for a dollar and the other at a rate of for a dollar. What was the ratio of the number of mangoes in the two stacks if the store broke even after having sold all of its mangoes? Choose the most appropriate option
A) 1:4	B) 16:9	C) 2:3	D) 1:2	E) 2:5

Solution: The cost price of a mango = 1/5 dollars.   The selling price of a mango from the first stack = 1/3 dollars --> the profit from one mango = 1/3 - 1/5 = 2/15 = 4/30 dollars.   The selling price of a mango from the second stack = 1/8 dollars --> the loss from one mango = 1/5 - 1/8 = 3/40   dollars.   The profit from one mango from the first stack is 4 times the loss from one mango from the second stack. the ratio is   4/30*40/3 =16/9   16:9
Answer: B
A man buys Rs. 20 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is:  Choose the most appropriate option: A) 12 B) 10 C) 14 D) 25 E) 15

Solution: Dividend Rs 20 = (9/100*20) = 9/5   12 is an income on Rs 100   Rs 9/5 is an income Rs   (100/12*9/5)= 
  (100/12*9/5) = 15
Rs 15   ANSW15R 15
Answer: E
The average of eight results is 37 and that of the first seven is 40. The eighth result is? Answers: A) 25 B) 30 C) 12 D) 37 E) 16

Solution: 8 * 37 â€“ 7 * 40 = 16   Answer: 16
Answer: E
A man traveled a total distance of 1200 km. He traveled one-third of the whole trip by plane and the distance traveled by train is two-thirds of the distance traveled by bus. If he traveled by train, plane and bus, how many kilometers did he travel by bus? Options:
A) 400  B) 440  C) 480  D) 520  E) 560

Solution: total distance traveled = 1200 km.   distance traveled by plane = 400 km.   distance traveled by bus = x   distance traveled by train = 2x/3   x + 2x/3 + 400 = 1200   5x/3 = 800   x = 480 km   The answer is 480.
Answer: C
Rajeev wants to reach Mankar station exactly at 11 am. At 9.15 am, his train departs from Howrah Station. The speed of the train is 100 km per hour and distance between Howrah and Mankar is 150 kilometre. At what time will Rajeev actually reach Mankar? Choices:
A) 10.45 am	B) 11.00 am	C) 11.15 am	D) 11.30 am	E) 11.45 am

Solution: Speed of the train is 100 km per hour. To cover 150 km, train will take 60/100x150=90 minutes. So, the train will reach Mankar after 90 minutes from 9.15 am, that is 10.45 am.   10.45 amnswer: 10.45 am.
Answer: A
Shaun invests a certain sum of money at 18.75% p.a. simple interest. After how many years will the sum of money become three times its principal?	Select
A) 10 years, 6 months, 20 days	B) 10 years 8 months	C) 10 years 9 months	D) 12 years	E) 16 years

Solution: Solution:   B=A[1+ (tr/100)]; where A is principal amount, B final amount, t time in years and r interest rate   after putting the values 18.75= 75/4   3= [1+(75t/400)]   t= 32/3 which is (30+2)/3= 10 + 2/3 means 10 years and   (12*2)/3= 
  (12*2)/3 = 8
8 months.   total time 10 years 8 months   Ans: 10 years 8 months
Answer: B
A train running at the speed of 6 km/hr crosses a pole in 2 seconds. Find the length of the train? Select
A) 150	B) 872	C) 3.33	D) 3.21	E) 30.1

Solution: Speed = 6*(5/18) m/sec = 5/3 m/sec   Length of Train (Distance) = Speed * Time   5/3) * 2 = 3.33 meter   Answer:3.33
Answer: C
Tickets to a certain concert sell for $20 each. The first 10 people to show up at the ticket booth received a 40% discount, and the next 20 received a 15% discount. If 60 people bought tickets to the concert, what was the total revenue from ticket sales?  Choose the correct option
A) $600	B) $740	C) $850	D) $980	E) $1,240

Solution: Price of 1 ticket = 20$   Revenue generated from sales of first 10 tickets = 10 * (60/100 * 20 )   = 10 * 12= 
10 * 12 = 120
120   Revenue generated from sales of next 20 tickets= 20 *(85/100 * 20 )   =20*17= 
20*17 = 340
340   Revenue generated from sales of last 30 tickets= 30 * 26= 
30 * 26 = 780
780   Revenue generated from sales of 60 tickets= 120 + 340 + 780= 
120 + 340 + 780 = 1_240
1240 $   Answer $1,240
Answer: E
If 0.6:1.4 :: 2:4:x, then x=?
Select:
A) 56
B) 5.6
C) 0.56
D) 0.056
E) None of these

Solution: Explanation:   0.6 × x = 2.4 × 1.4   x = (2.4 × 1.4)/0.6 = 24/10 × 17/10 × 1/(6/10)   24/10 × 14/10 × 10/6   2/5 × 14 = 28/5= 
28/5 = 28/5 = around 5.6
5.6   Answer: Option 5.6
Answer: B
On January 1, 2010, David invests 40% of his retirement savings in Antarctic largecap stocks, 20% in Antarctic midcaps, and 40% in Antarctic smallcaps. In 2010, largecaps rise 10%, midcaps rise 20%, and smallcaps rise 5% in the Antarctic stock market; however, in 2011, largecaps fall 5% and midcaps fall 10%, while smallcaps rise x% in Antarctica. If, on January 1, 2012, David has the same total amount of retirement savings as he did two years before, then x is between  Select.
A) 0 and 5 B) 5 and 10 C) 10 and 15 D) 15 and 20 E) 20 and 25

Solution: Pick a smart number for the total retirement savings David starts with—say, $10,000. (If you pick $100, you’ll wind up needing to track decimals, so give yourself more zeros to start with.)   Here are the starting values:   L = $4000   M = $2000   S = $4000   Apply the first year’s changes, so that you have these numbers on 1/1/2012:   Newer L = $4000+ 10% = $4400   Newer M = $2000 + 20% = $2400   Newer S = $4000 + 5% = $4200   Now apply the second year’s changes to L and M:   Newest L = $4400– 5% = $4400– $220 = $4180   Newest M = $2400– 10% = $2400– $240 = $2160   Add these to get $6340. So the newest S must be $10,000 (the target final total of David ’s retirement savings) minus $6340, $3660   The dollar change in S from 1/1/12 to 1/1/13 is $4200 – $540 = $3660. So the question is this: what percent change does $540 represent, from a starting point of $4200? Since $4200 is a nasty divisor, switch to benchmarks:   5% of $4200 = $210.   So 10% is just double that, or $420.   15% is $630.   And so on.   From this $540 lies between $420and $630   The correct answer is 10 and 15.
Answer: C
Mangala completes a piece of work in 10 days, Raju completes the same work in 40 days. If both of them work together, then the number of days required to complete the work is
Choose the correct choice from the following answers:
A) 4 days	B) 6 days	C) 8 days	D) 10 days	E) 11 days

Solution: If A can complete a work in x days and B can complete the same work in y days, then, both   of them together can complete the work in x y/ x+ y days.   That is, the required No. of days = 10 × 40/50 = 8 days.   8 days)
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 the man is: Choose the correct choice.
A) 12 kg
B) 60 kg
C) 72 kg
D) 96 kg
E) 98 kg

Solution: Volume of water displaced	= (3 x 2 x 0.01) m3   = 0.06 m3.   Mass of man	= Volume of water displaced x Density of water   = (0.06 x 1000) kg   = 60 kg.Answer: Option 60 kg
Answer: B
Find large number from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder?  Choose the correct choice from the following options:
A) 1340  B) 1450  C) 1540  D) 1650  E) 1635

Solution: Let the smaller number be x. Then larger number = (x + 1365).   x + 1365 = 6x + 15   5x = 1350   x = 270   Large number = 270+1365= 
270+1365 = 1_635
1635   1635
Answer: E
Mary and Joe are to throw three dice each. The score is the sum of points on all three dice. If Mary scores 10 in her attempt what is the probability that Joe will outscore Mary in his? Pick one.
A) 24/64	B) 32/64	C) 36/64	D) 40/64	E) 42/64

Solution: Expected value of one die is 1/6*(1+2+3+4+5+6)=3.5.   Expected value of three dice is 3*3.5=10.5.   Mary scored 10 so the probability to get the sum more then 10 (11, 12, 13, ..., 18), or more then the average, is the same as to get the sum less than average (10, 9, 8, ..., 3) = 1/2 = 32/64.   That's because the probability distribution is symmetrical for this case:   The probability of getting the sum of 3 (min possible sum) = the probability of getting the sum of 18 (max possible sum);   The probability of getting the sum of 4 = the probability of getting the sum of 17;   The probability of getting the sum of 5 = the probability of getting the sum of 16;   ...   The probability of getting the sum of 10 = the probability of getting the sum of 11;   Thus the probability of getting the sum from 3 to 10 = the probability of getting the sum from 11 to 18 = 1/2.   Answer: 32/64.
Answer: B
January 1, 2007 was Monday. What day of the week lies on Jan. 3, 2008? Choices:
A) Monday  B) Thursday  C) Wednesday  D) Friday  E) Sunday

Solution: The year 2007 is an ordinary year. So, it has 1 odd day.   day of the year 2007 was Monday   day of the year 2008 will be 3 days beyond Monday   Hence, It will be Thursday. answer : Thursday
Answer: B
The ratio between the present ages of A and B is 3.5:3 respectively. The ratio between A's age 4 years ago and B's age 4 years hence is 1:1. What is the ratio between A's age 4 years hence and B's age 4 years ago?
Pick: A) 14:4 B) 13:0 C) 15:11 D) 13:12 E) 13:17

Solution: Let the present ages of A and B be 3.5x and 3x years respectively.   Then, (3.5x - 4)/(3x + 4) = 1/1   0.5x = 8 => x = 16   Required ratio = (5x + 4):(3x - 4) = 60:44 = 15:11.Answer: 15:11
Answer: C
A glass was filled with 10 ounces of water, and 0.02 ounce of the water evaporated each day during a 20-day period. What percent of the original amount of water evaporated during this period?  Choose the correct choice from the following choices
A) 0.004% B) 0.02% C) 0.2% D) 4% E) 40%

Solution: We are given that 0.02 ounces of water evaporated EACH DAY. Furthermore, we know that this process happened over a 20-DAY PERIOD. To calculate the total amount of water that evaporated during this time frame we need to multiply 0.02 by 20. This gives us:   0.02 x 20 = 0.4 ounces   Finally, we are asked for “What percent” of the original amount of water evaporated during this period. To determine this percentage, we have to make sure we translate the expression correctly. We can translate it to:   (Amount Evaporated/Original Amount) x 100%   (0.4/10) x 100%   (4/100) x 100% = 4%   Answer 4%
Answer: D
A man can row his boat with the stream at 6 km/h and against the stream in 4 km/h. The man's rate is?
Answers:
A) 1	B) 4	C) 7	D) 9	E) 6

Solution: DS = 6   US = 4   S = ?   S = (6 - 4)/2= 
(6 - 4)/2 = 1
1 kmph   1nswer: 1
Answer: A