MU-NLPC/Calc-aqua_rat huggingface dataset:
In a party, there are rows arranged with 12,20 and 30 chairs and there were 3 left in all the cases. When there were 11 rows. There were no chair left. If 30 chairs were added. Then what will be the reminder?
Pick
A) 8 B) 9 C) 10 D) 11 E) 12

Solution: LCM of 12,20,30 is 120.so the number is in the form of 120x+3 which is divisible by 11,by placing x=3, we get 363 which is divisible by 11 and the multiple of 120 when 3 is subtracted from 363.so the no. is 363.so when 30 is added to it and is divided by 11 we get remainder as 8   8NSWER:8
Answer: A
David leaves home everyday at 4 p.m to pick his son from school and returns home at 6 p.m. One day, the school was over at 4 p.m and the son started walking home from school. David, unaware of this, starts from home as usual and meets his son on the way and returns home with him 15 minutes early. If the speed of David is 30 km\hr, find the speed of his son.
Pick.
A) 15km/hr	B) 6 km/hr	C) 4.28 km/hr	D) 9 km/hr	E) 4.12 km/hr

Solution: David leaves home everyday at 4 p.m to pick his son from school and returns home at 6 p.m. One day, the school was over at 4 p.m and the son started walking home from school. David, unaware of this, starts from home as usual and meets his son on the way and returns home with him 15 minutes early. If the speed of David is 30 km\hr, find the speed of his son.   The distance from home to school is 30 km. The round trip distance = 60 km. Because he returns home 15 minutes early, I thought it might be easier to break his trip up into 8 identical 15 minute blocks, each of which he traveled at 7.5 km/hour.   Because we are dealing with a round trip here,David would have stopped 7.5 minutes short of the school. This means he traveled Distance=rate* time .5Km/hour*52.5 minutes or 26.25 KM. His son therefore traveled 3.75km/hour by the time he met his dad at 4:52.5. It took the son 52.5 minutes to travel 3.75 km. Because we are trying to find the son's rate per hour (i.e. 60 minutes) and we have his speed for 52.5 minutes it's best to convert to km/minute then multiply by 60 to get km/hour   3.75km/52.5 = .07 km/minute   .07km/minute*60 minutes = 4.28 km/hour.   Answer: C. 4.28 km/hr
Answer: C
If the time is currently 1:30pm, what time will it be in exactly 479 hours?  Options
A) 12:30am  B) 1:30am  C) 12:30pm  D) 2:30pm  E) 10:30pm

Solution: Every 24 hours will bring us to the same 1:30pm. 480 is divisible by 24 (20*24=480), so if it were 480 hours we would have 1:30pm, but since it's 479 hours then it will be 1 hour less, so 12:30pm.   Answer: 12:30pm.
Answer: C
A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is:
Answers: A) 120 kmph B) 150 kmph C) 50 kmph D) 80 kmph E) 75 kmph

Solution: Let speed of the car be x kmph.   Then, speed of the train =	150/100x	= 3/2 x	kmph.   75/x - 75/(3/2)x = 125/10 x 60   75/x	-50/x = 5/24   x =	25 x24/5	= 120 kmph.   answer :120 kmph
Answer: A
The average of five consecutive odd numbers is 61. What is the difference between the highest and lowest numbers ?	Choose the correct choice from the following answers:  A) 7  B) 8  C) 5  D) 4  E) 2

Solution: Let the numbers be x, x + 2, x + 4, x + 6 and x + 8.   Then [x + (x + 2) + (x + 4) + (x + 6) + (x + 8) ] / 5 = 61.   or 5x + 20 = 305 or x = 57.   So, required difference = (57 + 8) - 57= 
(57 + 8) - 57 = 8
8   Answer: 8
Answer: B
Given that 1.75 x 10(power 8), Which of the following options is equal to it?  Answers
A) 171000000	B) 172000000	C) 176000000	D) 175000000	E) 177000000

Solution: = 1.75 x 10(power 8)   = 1.75 x 100000000   = 175000000.   Answer is 175000000.
Answer: D
The length of a rectangular landscape is 4times its breadth. There is a playground in it whose area is 1200 square mtr & which is 1/3rd of the total landscape. What is the length of the landscape?  Pick one:	A) 110	B) 115	C) 120	D) 130	E) 145

Solution: Sol. x * 4x = 3 * 1200   x = 30   Length = 4 * 30= 
4 * 30 = 120
120   120
Answer: C
Two positive integers differ by 4, and sum of their reciprocals is 2. Then one of the numbers is Choices.
A) a) 3 B) 2 C) c) 5 D) d) 21 E) e) 28

Solution: Algebraic approach:   Let n be the smaller integer => 1/n + 1/(n+4) = 2   or ((n+4)+n)/n(n+4) =2 or (n^2+4n)*2 =2n+4 or n=2 as n cannot be -negative   Solve for n => n=2. Hence,   2
Answer: B
A Hotel has 6 employees; there are 5 female employees and 1 male employee. In how many ways can a 3-person committee be created if the committee must include the male employee?	Select the correct option
A) 10  B) 12  C) 15  D) 24  E) 30

Solution: A Hotel has 6 employees;for male 1C1 = 1 ........ 10   foe female = 5C2 = 10.........B   total = 10*1= 
10*1 = 10
10 - answer=10
Answer: A
The average of 11 numbers is 10.9. If the average of first six is 10.5 and that of the last six is 11.4 the sixth number is?  Choose the correct choice from the following answers:	A) 9	B) 9.2	C) 10	D) 11.5	E) 12

Solution: Explanation:   1 to 11 = 11 * 10.9= 
11 * 10.9 = 119.9
119.9   1 to 6= 6 * 10.5= 
6 * 10.5 = 63
63   6 to 11= 6 * 11.4= 
6 * 11.4 = 68.4
68.4   63 + 68.4= 
63 + 68.4 = 131.4
131.4 – 119.9= 11.5   6th number = 11.5   11.5)
Answer: D
If r and s are positive integers and r-s=6, which of the following has the greatest value W? Choose the correct choice from the following options:  A) 2r  B) 2s  C) r +s  D) 2r-s  E) 2s-r

Solution: The simplest way to do this is to assume values.   We are told that r and s are positive integers W.   Also, r-s = 6 => r = 6+s   Hence r is 6 more than s.   Let s be 10. Hence r = 16.   Option 2r: 2r = 2*16= 
2*16 = 32
32   Option B: 2s= 2 * 10= 
2 * 10 = 20
20   Option C: r + s= 16 + 10= 
16 + 10 = 26
26   Option D: 2r - s= 2(16) - 10 = 32 - 10= 
32 - 10 = 22
22   Option E: 2s - r= 2(10) - 16 = 20 - 16= 
20 - 16 = 4
4   Hence option 2r is the greatest.
Answer: A
The current of a stream runs at the rate of 4 kmph. A boat goes 6 km and back to the starting point in 2 hours, then find the speed of the boat in still water?
Pick one.
A) 6 B) 7 C) 8 D) 4 E) 2

Solution: S = 4   M = x   DS = x + 4   US = x - 4   6/(x + 4) + 6/(x - 4) = 2   x = 8   Answer: 8
Answer: C
In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 80 questions and secures 120 marks, the number of questions he attempts correctly, is:	Choose the correct choice from the following answers: A) 35 B) 46 C) 42 D) 30 E) 40

Solution: Let the number of correct answers be x.   Number of incorrect answers = (80 â€“ x).   4x â€“ 1(80 â€“ x) = 120 or 5x = 200 or x = 40.   ANSW40R:40
Answer: E
In a hostel, there is a meal for 120 men or 200 boys. If 150 boys have taken the meal, how many men will be catered to with remaining meal?  Choose the most appropriate option.
A) 20  B) 30  C) 40  D) 50  E) 60

Solution: Explanation :   There is a meal for 200 boys. 150 boys have taken the meal.   Remaining meal is to be catered to 50 boys.   Now, 200 boys 120 men.   So 50 boys => 120 x 50/200 = 30 men.   Answer : 30
Answer: B
If the average (arithmetic mean) of a and b is 160, and c – a = 200, what is the average of b and c?  Choose the correct choice from the following
A) 260  B) 250  C) 150  D) 225  E) 325

Solution: a+b/2 = 160   => a+b = 320   a = c - 200...sub this value   c-200+b =320   =>c+b = 520   =>c+b/2 = 260   260nswer : 260
Answer: A
Find the ratio in which rice at Rs.7.10 a kg be mixed with rice at Rs.5.70 a kg to produce a mixture worth Rs.6.30 a kg? Choose the correct answer:
A) 1 : 3	B) 2 : 3	C) 3 : 4	D) 4 : 5	E) None of these

Solution: Solution   Required ratio = 60 : 80 = 3 : 4   Answer 3 : 4
Answer: C
Share Rs.4800 among John, Jose & Binoy in the ration 2 : 4 : 6.Find the amount received by John? Options.
A) 900 B) 980 C) 1600 D) 1240 E) 1400

Solution: Amount received by sanjay.   4 / 12 X 4800 = 1600= ( related ratio / sum of ratio ) x Total amount   So, the Amount received by sanjay is 1600.   1600
Answer: C
A computer can perform c calculations in s seconds. How many minutes will it take the computer to perform m calculations?  Answers:
A) 60ms/c B) ms/c C) ms/60c D) 60c/ms E) m/60cs

Solution: As 'thick' as this question might look, it's actually a fairly straight-forward Rate question and can be solved by TESTing VALUES.   We're told that a computer can perform C calculations in S seconds.   Let's TEST....   C = 2   S = 3   2 calculations every 3 seconds =   40 calculations every 1 minute   We're asked how many MINUTES it will take to perform K calculations.   Since we already know that the computer can perform 40 calculations in 1 minute, let's TEST...   m = 80   So we're looking for an answer that = 2 when C = 2, S = 3 and K = 80   Answer A: 60mS/C = 60(80)(3)/2 = 7200 This is NOT a match   Answer B: mS/C = (80)(3)/2 = 120 This is NOT a match   Answer C: mS/60C = (80)(3)/(60)(2) = 2 This IS a match   Answer D: 60C/mS = 60(2)/(80)(3) = 1/2 This is NOT a match   Answer E: m/60CS = 80/(60)(2)(3) = a fraction. This is NOT a match   ms/60c
Answer: C
When x is divided by y, the quotient is u with remainder r. What is x in terms of r, y, and u?
Choose one:
A) y + r + u
B) yu + r
C) x/y+r
D) y/u+r
E) ru + y

Solution: (x/y) = u + r   solve for x   x=(u*y)+r   Ans yu + r.
Answer: B
A computer store offers employees a 20% discount off the retail price. If the store purchased a computer from the manufacturer for $1000 dollars and marked up the price 20% to the final retail price, how much would an employee save if he purchased the computer at the employee discount (20% off retail price) as opposed to the final retail price. Select:  A) $1,000  B) $960  C) $240  D) $200  E) $150

Solution: Cost price=1000   Profit=20% =20% of 1000=200   selling price=CP+ Profit   SP=1200   a Discount of 20% to employees means 20% off on 1200   so 20% of 1200= 240   so a employee thinks he saved 240..   Answer: $240
Answer: C
A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent? Choose the correct answer:
A) 28%
B) 20%
C) 80%
D) 70%
E) 30%

Solution: 900 ---- 180   100 ---- ? => 20%   Answer: 20%
Answer: B
If two times A is equal to three times of B and also equal to four times of C, then A:B:C is	Choose the most appropriate option:  A) 2:3:4  B) 3:4:2  C) 4:6:3  D) 6:4:3  E) None

Solution: Solution: 2A = 3B;   Or, B = (2/3)A; And, 2A = 4C;   Or, C = (1/2)A;   Hence, A:B:C = A:2A/3:A/2 = 1:2/3:1/2 = 6:4:3   Answer: Option 6:4:3
Answer: D
Harkamal purchased 9kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg. How much amount did he pay to the shopkeeper?  Choices.
A) A)1120  B) B)1065  C) C)1070  D) D)1075  E) E)1080

Solution: Cost of 9 kg grapes = 70 × 9 = 630.   Cost of 9 kg of mangoes = 55 × 9 = 490.   Total cost he has to pay = 630 + 490= 
630 + 490 = 1_120
1120   1120
Answer: A
A man can row at 5 kmph in still water. If the velocity of current is 1 kmph and it takes him 1 hour to row to a place and come back, how far is the place?  Select the correct option:
A) 3.2 km B) 3 km C) 2.4 km D) 3.6 km E) None of these

Solution: Explanation :   Speed in still water = 5 kmph   Speed of the current = 1 kmph   Speed downstream = (5+1)= 
(5+1) = 6
6 kmph   Speed upstream= (5-1)= 
(5-1) = 4
4 kmph   Let the requited distance be x km   Total time taken= 1 hour   => x/6 + x/4 = 1   => 2x + 3x = 12   => 5x = 12   => x = 2.4 km. Answer : Option 2.4 km
Answer: C
A certain list of 100 data has an average (arithmetic mean) of 9 and a standard deviation of d, where d is positive. Which of the following pairs of data, when added to the list, must result in a list of 108 data with standard deviation less than d?  Choose the correct choice from the following answers
A) -9 and 0
B) 0 and 0
C) 0 and 9
D) 0 and 18
E) 9 and 9

Solution: Standard deviation shows how much variation there is from the mean. A low standard deviation indicates that the data points tend to be very close to the mean, whereas high standard deviation indicates that the data are spread out over a large range of values.   So when we add numbers, which are far from the mean we are stretching the set making SD bigger and when we add numbers which are close to the mean we are shrinking the set making SD smaller.   According to the above adding two numbers which are closest to the mean will shrink the set most, thus decreasing SD by the greatest amount.   Closest to the mean are 9 and 9 (actually these numbers equal to the mean) thus adding them will definitely shrink the set, thus decreasing SD.   Answer: 9 and 9.
Answer: E
A miniature roulette wheel is divided into 10 equal sectors, each bearing a distinct integer from 1 to 10, inclusive. Each time the wheel is spun, a ball randomly determines the winning sector by settling in that sector. If the wheel is spun five times, approximately what is the probability that the product of the five winning sectors’ integers will be even? Choose the correct choice:
A) 50%	B) 67%	C) 85%	D) 91%	E) 97%

Solution: The only way to have an odd product is if all 5 integers are odd.   P(odd product) = 1/2*1/2*1/2*1/2*1/2 = 1/32   P(even product) = 1 - 1/32 = 31/32 which is about 97%   The answer is 97%.
Answer: E
If the given two numbers are respectively 8% and 16% of a third number, then what percentage is the first of the second ?
Choices
A) 20%	B) 25%	C) 18%	D) 50%	E) none of these

Solution: Here, l = 8 and m = 16   Therefore, first number = l/m x 100% of second number = 8/16 x 100% of second number = 50% of second number   ANSWER:50%
Answer: D
After decreasing 24% in the price of an article costs Rs.912. Find the actual cost of an article? Answers.
A) 226 B) 255 C) 1200 D) 2771 E) 332

Solution: 1200P* (76/100) = 912   1200P1200 * (76/100)= 
1200 * (76/100) = 912
912   1200P= 12 * 100= 
12 * 100 = 1_200
> 1200P= 1200   Answer:1200
Answer: C
A small company employs 3 men and 5 women. If a team of 4 employees is to be randomly selected to organize the company retreat, what is the probability E that the team will have exactly 2 women? Choose the most appropriate option:  A) 1/14  B) 1/7  C) 2/7  D) 3/7  E) 1/2

Solution: 5C2 * 3C2 -> it gives combination of exactly 2 women and 2 men.   8C4 -> gives total possibilities of 4 people from 5 women and 3 men.   Probability = 5C2*3C2 / 8C4 = 3/7   SECOND METHOD:   Probability of two women -> 5/8 * 4/7.   probability of two men -> 3/6 * 2/5.   Probability: (5/8 * 4/7) * (3/6 * 2/5) = 1/14.
Answer: D
Two trains, each 100 m long, moving in opposite directions, cross other in 8 sec. If one is moving twice as fast the other, then the speed of the faster train is?  Pick one
A) 110 km/hr  B) 80 km/hr  C) 60 km/hr  D) 50 km/hr  E) 120 km/hr

Solution: Answer: Option C   Let the speed of the slower train be x m/sec.   Then, speed of the train = 2x m/sec.   Relative speed = ( x + 2x) = 3x m/sec.   (100 + 100)/8 = 3x => x = 25/3.   So, speed of the faster train = 50/3 = 50/3 * 18/5= 
50/3 * 18/5 = 60
60 km/hr.
Answer: C
An urn contains 10 balls, numbered from 1 to 10. If 2 balls are selected at random with replacement from the urn, what is the probability B that the sum of the 2 numbers on the balls will be even?
Choose the correct choice from the following answers:
A) 25% B) 37.5% C) 50% D) 62.5% E) 75%

Solution: Correct Answer: C   Since there are 5 even numbered balls and 5 odd numbered balls, the probability B of selecting either an even or an odd is 5/10= 1/2. In order for the sum of the numbers on the two balls to be even, either both numbers must be even or both numbers must be odd; one even and one odd number would add to an odd number. The probability of selecting two even numbers is:   1/2 * 1/2= 1/4   The probability of selecting two odd numbers is also:   1/2 * 1/2= 1/4   Adding both probabilities gives 1/4+1/4= 1/2 , or 50%, as the probability that the sum of the numbers will be even. Thus, the correct answer is (50%).
Answer: C
If a car went the first third of the distance at 80 kmh, the second third at 24 kmh, and the last third at 30 kmh, what was the average speed of the car for the entire trip?	Select
A) 36 kmh
B) 40 kmh
C) 42 kmh
D) 44 kmh
E) 34 kmh

Solution: Assume D/3 = 240 (this number is convenient because it is divisible by 80, 24 and 30)   So:   240 = 80*T1 = 3 hrs   240 = 24*T2 = 10 hrs   240 = 30*T3 = 8 hrs   T = T1 + T2 + T3 = 21 hrs   D = RT   (240*3) = R*21   R = 34   ANSW34 kmhR: 34 kmh
Answer: E
What is the rate percent when the simple interest on Rs.900 amount to Rs.160 in 4 Years?
Select:
A) 4.44	B) 5.44	C) 6.44	D) 7.44	E) 8.44

Solution: 160 = (900*4*R)/100   R = 4.44%   4.44nswer: 4.44
Answer: A
When a number is divided by 4 &then multiply by 12 the answer is 9 what is the no.? Choose the correct choice from the following choices.
A) 3  B) 5  C) 5.6  D) 5.7  E) 6.5

Solution: if $x$ is the number, x/4 * 12 = 9   => 3x = 9   => x = 3   3
Answer: A
Last year, the price of a vacation package was P. At the beginning of this year, the price went up 50%. Lucas used a travel voucher to purchase the vacation package at 30% off this year’s price. In terms of P, how much did Lucas pay? Select.
A) P + 10
B) 1.1*P
C) 0.50*P
D) 0.05*P
E) 1.05*P

Solution: Last year price = P;   This year price = 1.5P;   Lucas used a travel voucher to purchase the vacation package at 30% off this year’s price, thus he paid (1 - 0.3)*1.5P = 0.98P.   Answer: 1.05*P.
Answer: E
A person bought an article and sold it at a loss of 10%. If he had bought it for 20% less and sold it for Rs.75 less, he could have gained 25%. What is the cost price? Select the correct option:
A) 250  B) 276  C) 976  D) 267  E) 287

Solution: CP1 = 100 SP1 = 90   CP2 = 80 SP2 = 80 * (140/100)= 
80 * (140/100) = 112
112   22 ----- 100   55 ----- ?=> Rs.250   250nswer:250
Answer: A
A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old id the mother at present?	Choose the correct choice from the following answers
A) 46	B) 49	C) 40	D) 21	E) 19

Solution: Let the mother's present age be x years. Then, the person's present age = 2/5 x years.   (2/5 x + 8) = 1/2 (x + 8)   2(2x + 40) = 5(x + 8) => x = 40   Answer:40
Answer: C
Speed of a boat in standing water is 14 kmph and the speed of the stream is 1.2 kmph. A man rows to a place at a distance of 4864 km and comes back to the starting point. The total time taken by him is:	Choose the correct choice from the following.
A) 700 B) 200 C) 540 D) 120 E) 635

Solution: Explanation:   Speed downstream =(14+1.2)= 
(14+1.2) = 15.2
15.2 kmph   Speed upstream=(14-1.2)= 
(14-1.2) = 12.8
12.8 kmph   Total time taken=4864/15.2+4864/12.8=320+380= 
320+380 = 700
700 hours.   700nswer:700
Answer: A
There is enough provisions for 1200 girls in a hostel for 50 days. If there were 600 girls less, how long will the provision last?
Choose the correct answer.
A) 75	B) 80	C) 90	D) 95	E) 100

Solution: We have, M1D1 = M2D2   1200*50= 600* D2   D2 = 1200*50/600= 
1200*50/600 = 100
100 days.   ANSW100R:100
Answer: E
At 1:00, Annie starts to bicycle along a 87 mile road at a constant speed of 15 miles per hour. Thirty minutes earlier, Scott started bicycling towards Annie on the same road at a constant speed of 12 miles per hour. At what time will they meet?  Pick
A) 2:30  B) 3:00  C) 4:00  D) 6:00  E) 9:00

Solution: In the first 30 minutes, Scott can travel 6 miles, so there are 81 miles left.   Together Annie and Scott can complete 27 miles.   81/27= 
81/27 = 3
3, so they will meet 3 hours after 1:00.   The answer is 4:00.
Answer: C
The sum of 5 consecutive even numbers of set x is 440. Find the sum of a different set of five consecutive integers whose second least number is 121 less than double the least number of set x?
Choose the correct choice from the following choices:
A) 220 B) 230 C) 235 D) 236 E) 240

Solution: Let the five consecutive even numbers be 2(x - 2), 2(x - 1), 2x, 2(x + 1) and 2(x + 2)   Their sum = 10x = 440   x = 44 => 2(x - 2) = 84   Second least number of the other set = 2(84) - 121 = 47   This set has its least number as 46.   Sum of the numbers of this set = 46 + 47 + 48 + 49 + 50   = 48 - 2 + 48 - 1 + 48 + 48 + 1 + 48 + 2 => 5(48) = 240   240
Answer: E
A certain sum of money is invested for one year at a certain rate of simple interest. If the rate of interest is 3% higher, then the invest earned will be 25% more than the interest earned earlier. What is the earlier rate of interest?
Select.
A) 16
B) 18
C) 28
D) 12
E) 26

Solution: If the interest earned is 25% more than the earlier interest then the rate of interest also should be 25% higher than the earlier rate.   Let the earlier rate of interest be x%.   Now it will be (x + 3)%   % increase = (x + 3) - x/x * 100   = 25   => x = 12   Answer: 12
Answer: D
A person travels from P to Q a speed of 40 km/hr and returns by increasing his speed by 50%. What is his average speed for both the trips?
Choose the correct choice from the following choices
A) 27
B) 87
C) 48
D) 77
E) 51

Solution: Speed on return trip = 150% of 40 = 60 km/hr.   Average speed = (2 * 40 * 60)/(40 + 60)= 
(2 * 40 * 60)/(40 + 60) = 48
48 km/hr.   Answer: 48
Answer: C
There are four different models that are to appear in a fashion show. Two are from Europe, two are from South America, and two are from North America. If all the models from the same continent are to stand next to each other, how many ways can the fashion show organizer arrange the models?  Select the correct option:
A) 192 B) 48 C) 64 D) 24 E) 8

Solution: Since we have 3 continental pairs (EU, SA, NA), these 3 pairs have 4*3*2*1= 
4*3*2*1 = 24
24 Combinations. Within each pair, you have however 2 different ways to put them together for each of the pair (2*2*2= 8). So we have 24*8= 
24*8 = 192
192.   Please correct me if im wrong.   192nswer 192.
Answer: A
30 men can do a work in 40 days. When should 16 men leave the work so that the entire work is completed in 40 days after they leave the work?  Choose the correct choice from the following answers
A) 87 days	B) 14 days	C) 55 days	D) 44 days	E) 22 days

Solution: Total work to be done = 30 * 40= 
30 * 40 = 1_200
1200   Let 16 men leave the work after 'P' days, so that the remaining work is completed in 40 days after they leave the work.   40P + (16 * 40)= 1200   40P = 560 => P = 14 days   Answer:14 days
Answer: B
14 men can complete a piece of work in 30 days. In how many days can 24 men complete that piece of work?	Choose the correct option:
A) 17 1/2 days
B) 26 3/4 days
C) 22 1/2 days
D) 29 days
E) 20 days

Solution: 17 1/2 days   17 1/2 days   14 * 30 = 25 * x => x = 17 1/2 days
Answer: A
The radius of a circular wheel is 1.75 m, how many revolutions will it make in traveling 1 km?	Pick one:
A) 1000	B) 2788	C) 2677	D) 2899	E) 2771

Solution: 2 * 22/7 * 1.75 * x = 11000   x = 1000   1000nswer: 1000
Answer: A
A manufacturer produces a certain men's athletic shoe in integer sizes from 8 to 17. For this particular shoe, each unit increase in size corresponds to a 1/4-inch increase in the length of the shoe. If the largest size of this shoe is 30% longer than the smallest size, how long, in inches, is the shoe in size 15? Choose the correct option:
A) 9.25  B) 11.75  C) 13.25  D) 15.75  E) 17.25

Solution: Let x be the length of the size 8 shoe.   Then 0.3x = 9/4   x = 90/12 = 15/2 inches   The size 15 shoe has a length of 15/2 + 7/4 = 37/4= 
37/4 = 37/4 = around 9.25
9.25 inches   The answer is 9.25.
Answer: A