MU-NLPC/Calc-aqua_rat huggingface dataset:
The positive numbers w, x, y, and z are such that x is 35 percent greater than y, y is 20 percent greater than z, and w is 20 percent less than x. What percent greater than z is w ?	Choose the correct choice from the following choices:
A) 15.2%
B) 16.0%
C) 20.0%
D) 23.2%
E) 24.8%

Solution: My strategy is same as theDobermanbut instead take z=100, which makes life a bit easy. As:   z=100   y=120 (20% greater than z)   z=144(20% greater than y)   Now calculate w 20% less than z = 144*80/100= 
144*80/100 = 576/5 = around 115.2
115.2   Now by just looking, relation between w and z:   w-z/z*100= 20 - Answer 20.0%
Answer: C
What is the average (arithmetic mean) of the numbers 21, 22, 23, 23, 24, and 25?  Choose the correct option
A) 23.0	B) 22.5	C) 21	D) 24	E) 23

Solution: {21, 22, 23, 23, 24, 25}={23-2,23-1, 23, 23,23+1,23+2} --> the average = 23.   Answer: 23.
Answer: E
A train covers a distance of 12 km in 10 min. If it takes 2 sec to pass a telegraph post, then the length of the train is?  Choose the most appropriate option:
A) 40  B) 80  C) 120  D) 60  E) 20

Solution: Speed = (12/10 * 60) km/hr = (72 * 5/18) m/sec = 20 m/sec.   Length of the train = 20 * 2= 
20 * 2 = 40
40 m.   40nswer: Option 40
Answer: A
In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is:
Pick one:
A) 21/46
B) 25/117
C) 1/50
D) 3/25
E) None of these

Solution: Let S be the sample space and E be the event of selecting 1 girl and 2 boys.   Then, n(S)	= Number ways of selecting 3 students out of 25   = 25C3 `   =	(25 x 24 x 23)/(3 x 2 x 1)   = 2300.   n(E)	= (10C1 x 15C2)   =	[10 x	((15 x 14)/(2 x 1))]   = 1050.   P(E) =n(E)/n(S)=1050/2300=21/46	.   21/46nswer :21/46
Answer: A
A family has two children. find the probability that both the children are girls given that at least
one of them is a girl?  Choose one:
A) 1/3	B) 1/5	C) 1/7	D) 1/9	E) 2/3

Solution: Let b stand for boy and g for girl. The sample space of the experiment is   S = {(g, g), (g, b), (b, g), (b, b)}   Let E and F denote the following events :   E : ‘both the children are girls’   F : ‘at least one of the child is a girl’   Then E = {(g,g)} and F = {(g,g), (g,b), (b,g)}   Now E n F = {(g,g)}   Thus P(F) = 3/4   and P (E n F )= 1/4   Therefore P(E|F) = P(E ∩ F)/P(F) = (1/4)/(3/4) = 1/3   1/3
Answer: A
Three friends (Sarah, Jane and Gina) are employees of a company. Their respective salaries are in the ratio of 1 : 3 : 7. Jane and Gina's salaries together is Rs. 7000. By what percent is Gina's salary than that of Sarah?  Choose the correct choice from the following choices:
A) 200%  B) 600%  C) 100%  D) 300%  E) 400%

Solution: Explanation:   Let the salaries be x, 3x and 7x respectively.   Then,3x + 7x = 7000 => x = 700.   Sarah's salary = Rs. 700, Jane's salary = Rs. 2100, and Gina's salary Rs. 4900.   Excess of Gina's salary over Sarah's=[ (4200 /700) x 100] = 600%.   Answer: 600%
Answer: B
A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long? Choose the correct choice from the following options.
A) 40 sec	B) 42 sec	C) 45 sec	D) 48 sec	E) 49 sec

Solution: total length= 360+140= 
360+140 = 500
500   speed=45km/h=(45*5)/18= 25/2m/s   time=(500*2)/25= 
(500*2)/25 = 40
40 sec.   40 secNSWER:40 sec
Answer: A
A cyclist covers a distance of 750m in 2 min 30sec. What is the speed in km/hr of the cyclist?	Answers:
A) 18	B) 15	C) 9	D) 5	E) 10

Solution: distance = 750 m   time = 2min 30 sec = 150 sec   speed = (750/150) m/s = 5m/s   speed in km/hr = 5*18/5= 
5*18/5 = 18
18 km/hr   correct option is 18
Answer: A
Naresh’s monthly income is 30% more than that of Raghu. Raghu’s monthly income is 20% less than that of Vishal. If the difference between the monthly incomes of Naresh and Vishal is 800, what is the monthly income of Raghu?	Answers:  A) 16,000  B) 20,000  C) 12,000  D) Data inadequate  E) None of these

Solution: N = R + 30% of R = 1.3 RR   = V – 20% of V = 80% of V = 0.8 V   ∴ N = 1.3 × 0.8V = 1.04 V   Now, N – V = 1.04 V – V = 0.04 V = 800(given)   ∴ V = 20000   ∴ R = 0.8 × 20000 = 16000   16,000nswer 16,000
Answer: A
A car moves at 45 km/hr. What is the speed of the car in meters per second ?  Choose the correct choice
A) 12 1/2 m sec B) 12 2/9m sec C) 14 1/9m sec D) 16 1/2m sec E) 18 2/9m sec

Solution: Explanation:   Speed=(45∗5/18)m/sec   =25/2 m/sec   =12 1/2 msec   Option 12 1/2 m sec
Answer: A
Robert ate 7 chocolates, Nickel ate 3 chocolates. How many more chocolates did Robert ate than nickel?	Choose the correct choice: A) 4 B) 7 C) 9 D) 5 E) 2

Solution: 7-3= 
7-3 = 4
4. 4nswer is 4
Answer: A
The cost of 10 kg of mangos is equal to the cost of 24 kg of rice. The cost of 6 kg of flour equals the cost of 2 kg of rice. The cost of each kg of flour is $21. Find the total cost of 4 kg of mangos, 3 kg of rice and 5 kg of flour?  Select the correct option:
A) 347.8
B) 987.8
C) 877.8
D) 898.8
E) 667.4

Solution: Let the costs of each kg of mangos and each kg of rice be $a and $r respectively.   10a = 24r and 6 * 21 = 2r   a = 12/5 r and r = 63   a = 151.2   Required total cost = 4 * 151.2 + 3 * 63 + 5 * 21   = 604.8 + 189 + 105= 
604.8 + 189 + 105 = 898.8
$898.80   898.8
Answer: D
Which of the following must be true?
1) Every prime number greater than 5 can be written as either as 8n+1 or 8n-1
2) Every prime number greater than 5 can be written as 4n+1 or 4n-1
3) Every number greater than 5 of the form 8n+1 or 8n-1 is a prime number.	Answers
A) 1,2,3
B) 2,3
C) 1,2
D) only 1
E) only 2

Solution: Every prime number greater than 3 can be written in the form of 8n+1 or 8n-1 where n is an integer. So 1 can be possible.   3. This is not possible as 2 and 3 are being prime , we can't write then in the form of 8n+1 or 8n-1.   1,2
Answer: C
The organizers of a week-long fair have hired exactly seven security guards to patrol the fairgrounds at night for the duration of the event. Exactly three guards are assigned to patrol the grounds every night, with no guard assigned consecutive nights. If the fair begins on a Monday, how many different groups of 3 guards will be available to patrol the fairgrounds on the following Saturday night? Choose the correct option
A) 3
B) 4
C) 5
D) 6
E) 7

Solution: For any given day, only the guards patrolling on the previous day won't be available. So, 3 guards who patrolled on Friday won't be available. We are thus left with 4 guards.   To choose 3 out of 4, we will have 4C3 = 4 different groups.   The answer is 4.
Answer: B
If a certain sample of data has a mean of 23.0 and a standard deviation of 3.0, which of the following values is more than 2.5 standard deviations from the mean? Select.
A) 12.0 B) 13.5 C) 17.0 D) 15.5 E) 26.5

Solution: The standard deviation is 3. 2.5 standard deviations, which is just 2.5 x 3.0 is 7.5. The only answer more than 7.5 away from the mean is 15.5.
Answer: D
city A to city B, Andrew drove for 1 hour at 50 mph and for 3 hours at 60 mph. What was the average speed for the whole trip?  Answers
A) 57  B) 57.5  C) 56  D) 59  E) 60

Solution: The total distance is 1×50+3×60=2301×50+3×60=230. And the total time is 4 hours. Hence,   Average Speed=(Total DistanceTotal Time)=2304=57.5   57.5
Answer: B
Calculate the different number of ways 5 boys and 2 girls can sit on a bench?  Choose the correct choice:
A) 6040	B) 5030	C) 5140	D) 5010	E) 5040

Solution: npn = n!   7p7 = 7 × 6 × 5 × 4 × 3 × 2 × 1= 5040   5040
Answer: E
A and B complete a work in 8 days. A alone can do it in 12 days. If both together can do the work in how many days? Choose the correct choice from the following answers:
A) 3.75 days	B) 3.99 days	C) 2.99 days	D) 4.8 days	E) 2.44 days

Solution: 1/8 + 1/12 = 5/24   24/5= 
24/5 = 24/5 = around 4.8
4.8 days   Answer: 4.8 days
Answer: D
Three walls have wallpaper covering a combined area of 300 square meters. By overlapping the wallpaper to cover a wall with an area of 180 square meters, the area that is covered by exactly two layers of wallpaper is 30 square meters. What is the area that is covered with three layers of wallpaper?  Choose the correct choice from the following answers.
A) 5 Square Meters	B) 36 Square Meters	C) 42 Square Meters	D) 45 Square Meters	E) 120 Square Meters

Solution: 300 - 180= 
300 - 180 = 120
120 sq m of the wallpaper overlaps (in either two layers or three layers)   If 36 sq m has two layers, 120 - 30= 90 sq m of the wallpaper overlaps in three layers. 90 sq m makes two extra layers hence the area over which it makes two extra layers is 45 sq m.   Answer (45 Square Meters).
Answer: D
What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 20%? Choose the correct choice from the following:
A) 20
B) 77
C) 66
D) 55
E) 31

Solution: SP2 = 2/3 SP1   CP = 100   SP2 = 80   2/3 SP1 = 80   SP1 = 120   100 --- 20 => 20%   20nswer: 20
Answer: A
(X% of Y) +(Y% of X) is equal to:	Select the correct option:
A) X% of Y B) 20% of XY C) 2% of XY D) 2% of 100 XY E) None

Solution: Solution: According to question,   (XY /100) + (YX /100)   = 2XY /100   = 2% of XY.   Answer: Option 2% of XY
Answer: C
A shopkeeper purchased 70 kg of potatoes for Rs. 420 and sold the whole lot at the rate of Rs. 6.50 per kg. What will be his gain percent? Select the correct option.
A) 8 1/8 %	B) 8 3/3 %	C) 8 1/3 %	D) 2 1/3 %	E) 8 6/3 %

Solution: Explanation:   C.P. of 1 kg = 420/7 = Rs. 6   S.P. of 1 kg = Rs. 6.50   Gain % = 0.50/6 * 100 = 25/3 = 8 1/3 %   Answer: 8 1/3 %
Answer: C
What no. should be subtracted from x^3+4x^2−7x+12x^3+4x^2−7x+12, if it is to be perfectly divisible by x+3x+3? Choose one
A) 34 B) 42 C) 47 D) 58 E) 79

Solution: According to remainder theorem when dfracf(x)x+adfracf(x)x+a, then the remainder is f(−a)f(−a).   In this case, as x+3x+3 divides x3+4x2−7x+12–kx3+4x2−7x+12–k perfectly (kk being the number to be subtracted), the remainder is 0 when the value of xx is substituted by -3.   i.e., (−3)3+4(−3)2−7(−3)+12−k=0(−3)3+4(−3)2−7(−3)+12−k=0   or −27+36+21+12=k−27+36+21+12=k   or k=k= 42   42
Answer: B
If cost of 15 eggs be 70 rupees, then find out the cost of 5 dozen eggs. Choose the correct choice from the following answers:
A) 276
B) 400
C) 500
D) 600
E) 700

Solution: Cost of 15 eggs = 70 rupees   Cost of 1 egg = 70/15 = 4.6 rupees,   Cost of 5 dozens, i.e. 4.6 x 12 = 55.2 x 5 = 276   276nswer : 276
Answer: A
If the area of circle is 616 sq cm then its circumference? Choose the correct option:
A) 88
B) 99
C) 62
D) 27
E) 12

Solution: 22/7 r2 = 616 => r = 14   2 * 22/7 * 14= 
2 * 22/7 * 14 = 88
88   88nswer:88
Answer: A
Jason flips a coin three times. What is the probability B that the coin will land on the same side in all three tosses?  Choose the correct choice from the following answers.
A) 1/16  B) 1/8  C) 1/4  D) 1/3  E) 1/2

Solution: Total outcome is 2^3=8   Favorable cases HHH or TTT   Therefore, probability B is 2/8 or 1/4.1/4
Answer: C
On a windy day, out of every 3 sand dunes formed, only 1 remains. Out of 5 blown-out
sand-dunes, 1 has treasure and only 1 out of 5 sand dunes formed have lucky coupons. Find
the probability that the blown-out sand dune will contain both the things.	Select:
A) 2/25	B) 4/75	C) 2/75	D) 3/5	E) 4/5

Solution: Probability of sand dune blown out = 2/3   Probability that it has treasure = 1/5   Probability that it has lucky coupon = 1/5   total probability = 2/3 * 1/5 * 1/5 = 2/75   ANSWER:2/75
Answer: C
A girl purchased “m” number of pens of type “A” at the unit price of “Rs. x” each, “n” number of pens of type “B” at the unit price of “Rs. y” each and “p” number of pens of type “C” at the unit price of “Rs. z” each. Which of the following represents the average price of all the pens taken together? Choose the correct choice from the following answers.
A) (mx + ny + pz) / (m + n + a)	B) (mx + ny + pz) / (m + n + G)	C) (mx + ny + pz) / (m + n + p)	D) (mx + ny + pz) / (m + n + b)	E) (mx + ny + pz) / (m + n + t)

Solution: Explanation:   (mx + ny + pz) / (m + n + p)   Required Average = Total Price / Total number = (mx + ny + pz) / (m + n + p)   ANSWER: (mx + ny + pz) / (m + n + p)
Answer: C
Two hundred multiples of seven are chosen at random, and 300 multiples of eight are chosen at random. Approximately what percentage of the 500 selected numbers are odd?
Select the correct option:	A) 20%	B) 25%	C) 40%	D) 50%	E) 80%

Solution: Two hundred multiples of seven will have 100 even and 100 odd numbers   300 multiples of eight will have 20%LL even (being multiple of 8)   Probability of number selected being odd = Total Odd Numbers / Total available numbers   Probability = 100/500= 
100/500 = 1/5 = around 0.2
0.2= 20%   20%nswer: Option 20%
Answer: A
A man walked a certain distance south and then the same distance plus 7km due west.He is now 13km from his starting point.What are the distances south and west that he walked? Choose the correct choice from the following options:
A) 5,12 B) 6,12 C) 7,12 D) 5,13 E) 6,13

Solution: If a man walked distance(in km) 'x' towards south & then 'x+7'towards west.   Distance from starting point=Hypotenuse of a right triangle with sides x & (x+7)   So 13^2=x^2+(x+7)^2   x^2+7x-60=0 or (x+12)(x-5)=0, so x=5   Distance towards west=x+7=5+7= 
5+7 = 12
12 km.   5,12NSWER:5,12
Answer: A
Molly can do a task in 20 days while Sandy can do the task in 30 days. How many days will it take to complete the task if both work together?
Select the correct option:
A) 8	B) 9	C) 10	D) 12	E) 15

Solution: Each day, Molly can do 1/20 of the task.   Each day, Sandy can do 1/30 of the task.   Each day, they can do 1/20 + 1/30 = 1/12 of the task.   The task will be completed in 12 days.   The answer is 12.
Answer: D
By selling an umbrella for Rs. 300, a shop keeper gains 20%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percent during the sale is:  Pick
A) 7	B) 7.5	C) 8	D) 9	E) 10

Solution: Explanation:   Marked price = Rs. 300   C.P. = 100/120 * 300 = Rs. 250   Sale price = 90% of Rs. 300 = Rs. 270   Required gain % = 20/250 * 100= 
20/250 * 100 = 8
8%.   ANSWER IS 8
Answer: C
The maitre 'd at an expensive Manhattan restaurant has noticed that 60% of the couples order dessert and coffee. However, 20% of the couples who order dessert don't order coffee. What is the probability W that the next couple the maitre 'd seats will not order dessert?
Choose the correct choice from the following answers:
A) 20%	B) 25%	C) 40%	D) 60%	E) 75%

Solution: could you use a venn diagram and just go with the number 100.   60 people order dessert and coffee... which is the union of D and C.   W=2/10 of D aren't in D U C = so 8/10 of D are in DUC which means =60 =8/10D. So D in total=75, and 15 D's aren't in D union C. which means 25 people are in C only + Neither.   25% 25%
Answer: B
The time on a clock is 20 minutes past 3. What is the angle between the hands of the clock?
Choose the correct answer:	A) 60 degrees	B) 20 degrees	C) 45 degrees	D) 50 degrees	E) 30 degrees

Solution: The hour hand rotates 360 degrees in twelve hours.   The hour hand rotates 30 degrees in one hour.   The hour hand rotates 5 degrees in ten minutes.   At this time, the hour hand has rotated 100 degrees.   The minute hand rotates 360 degrees in 60 minutes, or 60 degrees in ten minutes.   At this time, the minute hand has rotated 120 degrees.   The difference is 120 - 100= 
120 - 100 = 20
20 degrees.   The answer is 20 degrees.
Answer: B
A boat ma goes 2km against the current of the stream in 1 hr and goes 1 km along the current in 10 min. how long will it take to go 16 km in stationary water
Choices.
A) 40 min	B) 1hr	C) 1hr 15 min	D) 1hr 30 min	E) 4 hr

Solution: rate down stream=(1/10*60)km/hr=6km/hr   rate up stream=2km/hr   speed still water =1/2(6+2)=4km/hr   required time =(16/4)= 
(16/4) = 4
4hr   Answer(4 hr)
Answer: E
In a recent election, Ms. Robbins received 8,000 votes cast by independent voters, that is, voters not registered with a specific political party. She also received 20 percent of the votes cast by those voters registered with a political party. If N is the total number of votes cast in the election and 40 percent of the votes cast were cast by independent voters, which of the following represents the number of votes that Ms. Robbins received?	Pick:
A) 0.06N + 3,200
B) 0.1N + 7,200
C) 0.4N + 7,200
D) 0.12N + 8,000
E) 0.06N + 8,000

Solution: I will go with option D   According to question 40 percent of total votes (N) cas were cast by independent voters. This implies 60 percent of N are voters that belong to political party. And she received 8000 votes from independent voters and 20 percent from registered voters (i.e 0.2 * 0.6 * N = 0.12N). Hence total votes = 8000 + 0.12N ....option 0.12N + 8,000
Answer: D
The ratio of flour to water to sugar in a recipe is 8:4:3. The ratio in a new recipe calls for a doubling of the ratio of flour to water from the original recipe and a halving of the ratio of flour to sugar. If the new recipe calls for 2 cups of water, how much sugar is required? Choose the correct option.
A) 6  B) 5  C) 4  D) 3  E) 2

Solution: The ratio of flour to water is 16:4=4:1.   The ratio of flour to sugar is 4:3.   The new ratio of flour to water to sugar is 4:1:3   If we need 2 cups of water, then we need 6 cups of sugar.   The answer is 6.
Answer: A
It takes 8 high school students, working at identical constant individual rates, 10 hours to paint a certain house. At what time will the house be fully painted if 8 students start painting at 9:00 am and one student, working at the same rate, is added per hour starting at 3:00 pm?
Choose the correct answer:	A) 5:40 pm	B) 5:50 pm	C) 6:00 pm	D) 6:10 pm	E) 6:20 pm

Solution: Each student paints at a rate of 1/80 of the house per hour.   In 6 hours, the 8 students can paint 48/80 of the house.   From 3 pm to 4 pm, 9 students paint another 9/80 for a total of 57/80.   From 4 pm to 5 pm, 10 students paint another 10/80 for a total of 67/80.   From 5 pm to 6 pm, 11 students paint another 11/80 for a total of 78/80.   12 students can paint the remaining 2/80 of the house in 2/12 of an hour = 10 minutes.   The house is completed at 6:10 pm.   The answer is 6:10 pm.
Answer: D
If w=1 and (w-b)/c = 1 which of the following is NOT a possible value of b?  Choose one: A) -2 B) -1 C) 0 D) 1 E) 2

Solution: Equation is:   (w-b)/c = 1 where w = 1   so plug in 1 for w and look at it again   (1-b)/c = 1   now C can be anything we want, so if b = -2 we can plug it in and make it work   (1-(-2))/c = 1   3/c = 1   c = 3 and it works   HOWEVER, if we have a 0 in the numerator there isn't a number on earth that makes 0/C = 1   (1-1)/c = 1   0/c = 1   there aren't any matches for C to make this true   B cannot be 1.   Answer is 1
Answer: D
Round off the given number to nearest hundreds
8866  Choose the correct choice from the following choices
A) 8700  B) 8800  C) 9000  D) 8600  E) 8900

Solution: the given number is 8866   its tens digit is 6. so replace each of the tens and ones digit by 0 and increase the hundreds digit by 1 to get the rounded off number to the nearest hundred.   correct answer (8900)
Answer: E
A football team lost 5 yards and then gained 11. What is the team's progress?	Choose the correct choice from the following options:
A) 2
B) 4
C) 5
D) 6
E) 8

Solution: For lost, use negative. For gain, use positive.   Progress = -5 + 11= 
-5 + 11 = 6
6 yards   6
Answer: D
John throws a coin until a series of six consecutive heads or three consecutive tails appears. What is the probability that the game will end after the seventh throw?  Select
A) 1/64 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)^7= 1/128   T-H-H-H-H-H ----> P = (1/2)^7= 1/128   Either one of these would satisfy the condition, so we could have one or the other. OR means add in probability.   1/128 + 1/128 = 2/128 = 1/64   1/64nswer(1/64).
Answer: A
The combined salaries of three brothers is $135,000. Mr. Big earns twice what Mr. Small earns, and Mr. Middle earns 1 1/2 times what Mr. Small earns. What is the smallest salary of the three brothers?
Choose the correct choice from the following answers:  A) 20,000  B) 22,000  C) 25,000  D) 30,000  E) 40,000

Solution: Mr. Small = x;   Mr. Middle = 3/2*x;   Mr. Big = 2x.   x + 3/2*x + 2x = 135 --> x=30   Answer: 30,000
Answer: D
Q-1) Of the 84 parents who attended a meeting at a
school, 25 volunteered to supervise children during
the school picnic and 11 volunteered both to supervise
children during the picnic and to bring refreshments to
the picnic. If the number of parents who volunteered
to bring refreshments was 1.5 times the number of
parents who neither volunteered to supervise children
during the picnic nor volunteered to bring
refreshments, how many of the parents volunteered to
bring refreshments?
Choose the correct option.
A) 25
B) 36
C) 38
D) 45
E) 42

Solution: i used the following formula: total = group1 + group2 + neither - both   using the information from the question stem, we have:   84 total people   25 who supervise (group1)   x who neither supervise nor bring refreshments   1.5x people who bring refreshments (group2)   11 who supervise AND bring refreshments (both)   therefore...   84 = 25 + 1.5x + x - 11   solving, we get x = 28   since we want the value of those who bring refreshments AND supervise:   1.5(28) = 42   answer is 42
Answer: E
A school has received 50% of the amount it needs for a new building by receiving a donation of $400 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 correct choice from the following.
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
A sum of Rs. 2678 is lent into two parts so that the interest on the first part for 8 years at 3% per annum may be equal to the interest on the second part for 3 years at 5% per annum. Find the second sum?	Choose the correct choice from the following choices:
A) 1629
B) 1648
C) 2677
D) 2986
E) 2679

Solution: (x*8*3)/100 = ((2678 - x)*3*5)/100   24x/100 = 40170/100 - 15x/100   39x = 40170 => x = 1030   Second sum = 2678 â€“ 1030 = 1648   Answer:1648
Answer: B
Each of three investments has a 20% of becoming worthless within a year of purchase, independently of what happens to the other two investments. If Simone invests an equal sum in each of these three investments on January 1, the approximate chance that by the end of the year, she loses no more than 1/3 of her original investment is Choose the correct choice from the following answers.
A) 90%	B) 80%	C) 70%	D) 60%	E) 40%

Solution: Since amount invested is same for all 3 , and probability of investment turning worthless is 20%, the required probability is   80%×80%×80% + 20%×80%×80×\frac{3!}{2!}   =89.6%   90%nswer 90%
Answer: A
If xy not equal 0 and x^2*y^2 -xy = 20, which of the following could be y in terms of x?
I. 1/2x
II. -5/x
III. 4/x	Choose the correct choice from the following:	A) II	B) II and III	C) I &II	D) III	E) IV

Solution: x2y2 - xy = 20   x2y2-xy-20 = 0   (xy-4)(xy+5)=0   xy = 4 or xy=-5   y = 4/x or y = -5/x   II and III only   II and III
Answer: B