MU-NLPC/Calc-aqua_rat huggingface dataset:
If n is the product of integers from 1 to 20 inclusive what is the greatest integer k for which 2^k is a factor of n?
Choose the correct choice from the following.
A) 10
B) 12
C) 15
D) 18
E) 20

Solution: Given: n=20!n=20!. The highest power k for which 2^k is a factor of n can be found with the above formula:   k=20/2+20/4+20/8+20/16=10+5+2+1= 
10+5+2+1 = 18
18   Answer: 18.
Answer: D
Tina’s cat weighs 2.6 kilograms. Her dog weighs 5 times as much as her cat. How much does her dog weigh in kilograms?	Pick:
A) A)10.4kg  B) B)13kg  C) C)22kg  D) D)48kg  E) E)20kg

Solution: 2.6*5= 
2.6*5 = 13
13 kg.Answer is 13kg.
Answer: B
For a certain art exhibit, a museum sold admission tickets to a group of 50 people every 5 minutes from 9:00 in the morning to 5:55 in the afternoon, inclusive. The price of a regular admission ticket was $10 and the price of a student ticket was $6. If on one day 3 times as many regular admission tickets were sold as student tickets, what was the total revenue from ticket sales that day?	Choose the correct choice from the following answers:
A) $24960	B) $25920	C) $28080	D) $38500	E) $48600

Solution: From 9:00 in the morning to 5:55 in the afternoon, inclusive there are 9*12= 
9*12 = 108
108 five-minute intervals, thus total of 108*50 tickets were sold.   Say x student and 3x regular tickets were sold, then x+3x=108*50 --> x=27*50 and 3x=3*(27*50)=27*150.   Therefore, the total revenue from ticket sales that day was 27*50*6+27*150*10=$48,600.   Answer: $48600.
Answer: E
Evaluate combination
100C100 Choices.
A) 10000  B) 1000  C) 10  D) 1  E) 0

Solution: Explanation:   nCn=1   100C100=1   Option 1
Answer: D
Jerry’s average (arithmetic mean) score on the first 3 of 4 tests is 85. If Jerry wants to raise his average by 2 points, what score must he earn on the fourth test?	Choose the correct option
A) 87 B) 89 C) 90 D) 93 E) 95

Solution: Total score on 3 tests = 85*3= 
85*3 = 255
255   Jerry wants the average to be= 87   Hence total score on 4 tests should be = 87*4= 
87*4 = 348
348   Score required on the fourth test= 348 - 255= 
348 - 255 = 93
93   Option 93
Answer: D
What is the units digit of the solution to 177^28−133^23? Choices.
A) 1
B) 3
C) 4
D) 6
E) 9

Solution: Let's reduce the clutter and make it easy to solve   So, 7^28 - 3^23 will have the same units digit as the big numbers above   Both 7 and 3 have a cyclicity of 4, i.e. their powers repeat the units digit after every 4th power   So , 7^28 has the same units digit as 7^4 ,which is 1   Similarly, 3^23 has the same units digit as 3^3, which is 7   Now, we get   xx...xx1 - xx....xx7 = xx...xx4   Thus, the units digit of the solution to 177^28 - 133^23 is 4   4orrect Option : 4
Answer: C
What is the square root of 324?
Answers.
A) A)18
B) B)9
C) C)45
D) D)62
E) E)81

Solution: A square root of a number is a number times itself equals the original number.   Ex) The square root of 81 is 9 because 9 times itself(9) equals the original number(81).   18*18= 
18*18 = 324
324   324 divided by x= 18   x=18   (18) 18
Answer: A
A company producing fruit juice changed its packaging from boxes measuring 5 x 10 x 20 centimeters to boxes measuring 6 x 10 x 20 centimeters. If the price of a box did not change and all boxes are full of juice, by approximately what percent did the price of the juice decrease?
Pick
A) 12.00%
B) 16.67%
C) 18.33%
D) 20.00%
E) 21.50%

Solution: suppose when v = 5x10x20 = 1000 cm, the price is $1200   per cm price = $1.2   the price is $1200 if v = 6x10x20 = 1000 cm.   per cm price = $1.0   so the price is decreased by $0.2   so the % price decreased by $0.2/1.20 = 16.67%   ANSWER:16.67%
Answer: B
The Natural Woman, a women's health food store, offers its own blends of trail mix. If the store uses 2 different ingredients, how many bins will it need to hold every possible blend, assuming that each blend must have at least two ingredients? (Also assume that each bin can hold one and only one blend.)
Choose the correct choice from the following options:
A) 1 B) 6 C) 7 D) 11 E) 10

Solution: We're told that there are 2 ingredients (we'll call them A, B); we're told that each 'mix' must include AT LEAST 2 ingredients...   2 ingredient blends:   1B   Total blends = 1   1
Answer: A
70,75, 73,76,90,105,105,130,130,130
The list consists of the times in seconds that it took each of the 10 school children to run a distance of 400 mts . If the standard deviation of the 10 running times is 22.4, rounded to the nearest tenth of a second, how many of the 10 running times are more than 1 standard deviation below the mean of the 10 running times.	Select the correct option.
A) 1
B) 2
C) 3
D) 4
E) 5

Solution: How many of the 10 running times are more than one SD below the meanmeans how many data points from given 10 are less thanmean-1SD.   We are given that SD=22.4, so we should find mean --> mean=100 --> there are only 3 data points below  100-22.4= 
 100-22.4 = 77.6
77.6, namely 70, 73 and 75.   Answer: 3.
Answer: C
How many multiples of 5 are there between 10 and 89, 10 and 89 inclusive?  Select:
A) 17  B) 16  C) 18  D) 19  E) 20

Solution: 5 multiples are ...10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,...   ,...,   the answer is =16   Answer is 16
Answer: B
For every X, the action [X] is defined: [X] is the greatest integer less than or equal to X. What is the value of [6.5] x [2/3] + [2] x 7.2 + [8.3] - 6.6?  Pick:
A) 12.6. B) 15.8. C) 14.4. D) 16.2. E) 16.4.

Solution: [6.5] x [2/3] + [2] x 7.2 + [8.3] - 6.6   = 6*0 + 2*7.2 + 8 - 6.6   = 0 +14.4 +1.4   15.8   Answer 15.8.
Answer: B
What is the sum of first 10000 numbers in the series -1,+1,-1,+1,-1.......??
Choose the correct choice from the following options:
A) 0
B) 1
C) 2
D) 3
E) 4

Solution: -1+1= 
-1+1 = 0
0   and for 10000 numbers it will form 5000 pairs   so 5000*0= 
5000*0 = 0
0   0NSWER:0
Answer: A
Five years ago, the average age of A and B was 15 years. Average age of A, B and C today is 20 years. How old will C be after 10 years?
Choose the correct choice from the following options:
A) 30 B) 35 C) 40 D) 50 E) 60

Solution: Explanation :   (A + B), five years ago = (15 * 2)= 
(15 * 2) = 30
30 years.   (A+B), now= (30+5*2)= 
(30+5*2) = 40
40 years.   (A + B + C), now= (20 x 3) years =60 years.   C, now = (60 - 40)= 
(60 - 40) = 20
20 years.   C, after 10 years= (20 + 10)= 
(20 + 10) = 30
30 years.   30nswer : 30
Answer: A
(4!)^n is a factor of 12!, but (4!)^(n+1) is not factor of 12!. What is the value of n? Pick.
A) 1
B) 2
C) 3
D) 4
E) 5

Solution: 12! = 12 * 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1   4! = 24   Question can be rephrased as how many 24's are there in 12!    12 * 2= 
 12 * 2 = 24
24   4 * 6= 
4 * 6 = 24
24   3 * 8= 
3 * 8 = 24
24   Value of n= 3   Answer: 3
Answer: C
The credit card and a global payment processing companies have been suffering losses for some time now. A well known company recently announced its quarterly results. According to the results, the revenue fell to $55.0 billion from $69.0 billion, a year ago. By what percent did the revenue fall?	Choose the correct option:
A) 25.5
B) 30.4
C) 31.8
D) 32.5
E) 33.8

Solution: $69-$55=14$   (14/55)*10069- 55= 
69- 55 = 14
14$   (14/55)*100=25.5%   25.5NSWER:25.5
Answer: A
Bill is golfing with two friends and can either buy generic golf tees that are packaged by the dozen or the higher quality Aero flight tees that come by the pair. What is the minimum number of packages of Aero flight tees Bill must purchase to ensure that he has at least 10 golf tees for each member of his foursome, if he will buy no more than 1 packages of the generic golf tees? Choose the correct choice from the following options: A) 16 B) 10 C) 9 D) 4 E) 2

Solution: At least 10 golf tees for each member of his threesome = total of at least 3*10= 
3*10 = 30
30 tees.   1 packages of the generic golf tees, that are packaged by the dozen= 1*12= 
1*12 = 12
12 tees.   So, Bill must by at least 18 Aero tees. They come by the pair, hence he must by at least 18/2= 
18/2 = 9
9 packages of Aero flight tees.   Answer: 9.
Answer: C
If the price of 50 toys is 1000, then what will the price of 20 toys ? Pick
A) 400  B) 361  C) 117  D) 287  E) 112

Solution: One toy price = 1000/50= 
1000/50 = 20
20   20 toy price= 20 * 20= 
20 * 20 = 400
400   400nswer : 400
Answer: A
Arun is traveling on his cycle and has calculated to reach point A at 2 pm if he travels at 10 kmph, he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 pm? Choose the correct choice from the following
A) 22  B) 38  C) 12  D) 99  E) 28

Solution: Let the distance be x km   if travels at 10 kmph, Arun will reach point A at 2 pm   if travels at 15 kmph, Arun will reach point 12 noon   => Time taken when traveling at 10 km = Time taken when traveling at 15 km + 2 hours   ⇒x10=x15+2⇒x10−x15=2⇒3x−2x=2×30⇒x=60⇒Distance = 60 km   Examine the any statement say, if travels at 10 kmph, Arun will reach point A at 2 pm   ⇒Time taken = DistanceSpeed=6010=6 hours⇒He must have started 6 hours back 2 pm, ie, at 8 am⇒Now he wants to reach at 1 pm. ie; time to be taken = 5 hours⇒Speed needed = DistanceTime=605=12 kmph   Answer : 12
Answer: C
Out of 450 students of a school, 325 play football, 175 play cricket and 50 neither play football nor cricket. How many students play both football and cricket ?  Choose the correct choice from the following choices:
A) 120  B) 150  C) 100  D) 180  E) 220

Solution: n(A)=325,n(B)=175,n(AuB)=450-50= 
450-50 = 400
400.   Required number= n(AnB)=n (A)+n (B)-n(AuB)=325+175-400= 
325+175-400 = 100
100.   Answer is 100
Answer: C
Pipe A can fill a tank in 15 hours, pipe B in 30 hours and pipe C in 40 hours. If all the pipes are open, in how many hours will the tank be filled? Options
A) 2	B) 2.5	C) 3	D) 8	E) None

Solution: Sol.   Part filled by (A + B + C) in 1 hour = (1/15 + 1/30 + 1/40) = 1/8.   âˆ´ All the three pipes together will fill the tank in 8 hours.   Answer 8
Answer: D
At the end of three years what will be the compound interest at the rate of 10% p.a. on an amount of Rs.20000? Select: A) 6620 B) 2277 C) 2677 D) 2688 E) 26711

Solution: 6620 = 20000(11/10)3   = 26620   = 20000   ----------   6620   6620nswer: 6620
Answer: A
Let C be defined as the sum of all prime numbers between 0 and 23. What is C/3	Choices:
A) 155	B) 129	C) 61	D) 25.3	E) 43

Solution: Prime numbers between 0 and 30 - 2 , 3 , 5 , 7, 11 , 13 , 17 , 19   Sum,C = 77   C/3 = 25.3   Answer 25.3
Answer: D
In a kilometer race, A beats B by 50 meters or 10 seconds. What time does A take to complete the race?	Choose the correct choice from the following choices.
A) 22	B) 190	C) 277	D) 18	E) 12

Solution: Time taken by B run 1000 meters = (1000 * 10)/50= 
(1000 * 10)/50 = 200
200 sec.   Time taken by A= 200 - 10= 
200 - 10 = 190
190 sec.Answer:190
Answer: B
In each of the following questions a number series is given with one term missing. Choose the correct alternative that will continue the same pattern and fill in the blank spaces.
2, 7, 14, 23, ?, 47	Choose the correct choice from the following options: A) 31 B) 34 C) 36 D) 31 E) 33

Solution: B   34   The given sequence is +5, +7, +9, ——   ie. 2+ 5 = 7, 7 + 7 = 14, 14 + 9 = 23   Missing Number = 23 + 11= 
23 + 11 = 34
34.
Answer: B
A work crew of 6 Men takes 9 days to complete one-half of a job. If 12 men are then added to the crew and the men continue to work at the same rate, how many days will it take the enlarged crew to do the rest of the job?
Choose the correct choice from the following:  A) 2  B) 3  C) 3 1/3  D) 4  E) 4 4/5

Solution: Suppose 1 man can do work in X days..   so 6 men will do in ..   6/X=1/9*1/2 as half job is done   X=108   now 12 more are added then   18/108=1/2*1/d for remaining half job   d=3 Number of days   3
Answer: B
When 28 is divided by the positive integer r, the remainder is 1. What is the sum of all the possible values of r for which this is true? Select.
A) 2
B) 3
C) 9
D) 30
E) 39

Solution: The only possible values of the form 28=rp+1 are 3,9 or 27   The sum = 3+9+27= 
3+9+27 = 39
39. E is the correct answer. We dont need to look for values >28 as all these values will leave a remainder of 28 and not 1.
Answer: E
The average of four positive integers is 69. The highest integer is 93 and the least integer is 39. The difference between the remaining two integers is 28. Which of the following integers is the higher of the remaining two integers? Pick one:
A) 32  B) 86  C) 44  D) 22  E) 55

Solution: Let the four integers be A, B, C and D where A > B > C > D.   (A + B + C + D)/4 = 69 => A + B + C + D = 276 ---> (1)   A = 93, D = 39 and B - C = 28   (1) => B + C = 276 - (A + D) = 276 - 132= 
276 - 132 = 144
144.   86 + 86 -28= 
86 + 86 -28 = 144
144   86= (144 + 28)/2= 
(144 + 28)/2 = 86
86   Answer:Option 86
Answer: B
A man can row 8 km/hr in still water. If the river is running at 3 km/hr, it takes 3 hours more in upstream than to go downstream for the same distance. How far is the place?	Select the correct option
A) 32.5 km B) 25 km C) 27.5 km D) 22.5 km E) None of these

Solution: Explanation :   Let the speed downstream = x and speed updstream = y   Then   (x+y)/2=8   => x + y = 16 ---(Equation 1)   (x−y)/2=3   => x - y = 6 ---(Equation 2)   (Equation 1 + Equation 2) = > 2x = 22   => x = 11 km/hr   (Equation 1 - Equation 2) = > 2y = 10   =>y = 5 km/hr   Time taken to travel upstream = Time taken to travel downstream + 3   Let distance be x km   Then   x/5 = (x/11) + 3   => 11x = 5x + 165   => 6x = 165   => 2x = 55   => x = 27.5. Answer : Option 27.5 km
Answer: C
he total marks obtained by a student in Physics, Chemistry and Mathematics is 180 more than the marks obtained by him in Physics. What is the average mark obtained by him in Chemistry and Mathematics? Select the correct option:
A) 55  B) 65  C) 75  D) 85  E) 90

Solution: Let the marks obtained by the student in Physics, Chemistry and Mathematics be P, C and M respectively.   P + C + M = 180 + P   C + M = 180   Average mark obtained by the student in Chemistry and Mathematics = (C + M)/2 = 180/2= 
180/2 = 90
90.   ANSW90R:90
Answer: E
If the personal income tax rate is lowered from 46% to 32%, what is the differential savings for a tax payer having an annual income before tax to the tune of $36000?	Choose the correct option
A) $3500
B) $5040
C) $3150
D) $7000
E) $10000

Solution: Saving = (46-32)% of 36000 = 5040.   Answer:$5040
Answer: B
When running a mile during a recent track meet, Nuria was initially credited with a final time of 7 minutes, 44 seconds. Shortly after her run, officials realized that the timing mechanism malfunctioned. The stopwatch did not begin timing her until 11/25 of a minute after she began to run. If the time was otherwise correct, how long did it actually take Nuria to run the mile? Pick one
A) 8 minutes, 10.4 seconds
B) 5 minutes, 21.8 seconds
C) 5 minutes, 43.56 seconds
D) 5 minutes, 44.44 seconds
E) 5 minutes, 17.6 seconds

Solution: One approach:   The watch starts to work after Nuria began his running. It means the time should be greater than credited 7 minutes, 44 seconds. The only number is 8 minutes, 10.4 seconds.   Another approach:   11/25 close to 30 second when added to the 7 minutes, 44 seconds, it means it passes 8 minute.   8 minutes, 10.4 secondsnswer: 8 minutes, 10.4 seconds
Answer: A
A man can row upstream at 25 kmph and downstream at 45 kmph, and then find the speed of the man in still water? Choose the correct choice from the following options.
A) 11
B) 77
C) 30
D) 88
E) 35

Solution: US = 25   DS = 45   M = (45 + 25)/2= 
(45 + 25)/2 = 35
35   Answer:35
Answer: E
Difference between two numbers is 5, six times of the smaller lacks by 6 from the four times of the greater. Find the numbers? Choose the correct choice from the following.
A) 5,14	B) 6,4	C) 12,7	D) 7,5	E) 4,7

Solution: Answer: Option 12,7   x â€“ y = 5   4x â€“ 6y = 6   x = 12 y = 7
Answer: C
In a village there are 20 men and 25 women. In how many ways can a man and a woman be selected?  Pick:
A) 200
B) 300
C) 500
D) 600
E) 650

Solution: We can select one men from 20 women in 20 ways.   We select one woman from 25 women in 25 ways   We select a Men and women in 20 * 25 ways i.e., = 500 ways.   500
Answer: C
A and B can do a work in 5 days, B and C in 15 days and C and A in 25 days. In how many days will the work be completed, if all three of them work together?  Choose one:
A) 26/18 B) 42/15 C) 48/63 D) 12/36 E) 150/23

Solution: One day work of A and B = 1/5   One day work of B and C = 1/15   One day work of C and A = 1/25   2(A + B + C) = 1/5+ 1/15 + 1/25   2(A + B + C) = 23/75   (A + B + C) = 23/150   Number of days required = 150/23 days.   Answer: 150/23
Answer: E
Martin bought 10 concert tickets, some at the full price of $2.00 per ticket, and some at a discounted price of $1.60 per ticket. If he spent a total of $19.20, how many discounted tickets did he buy?  Choose the correct choice from the following answers
A) 3	B) 4	C) 5	D) 6	E) 2

Solution: Let x be the number of tickets he bought at $2 per ticket.   then 2 x + (10-x)1.6 = 19.2   0.4x = 3.2 => x = 8   discounted tickets = 10 -x = 2   Ans : 2
Answer: E
If an article is sold at 19% profit instead of 12% profit, then the profit would be $84 more. What is the cost price? Choose the correct answer:
A) $900  B) $1200  C) $1500  D) $1800  E) $2100

Solution: 7% * cost price = $84   1% * cost price = $84 / 7= 
84 / 7 = 12
$12   The cost price is $1200.   The answer is $1200.
Answer: B
In a survey of 350 employees, 104 of them are uninsured, 54 work part time, and 12.5 percent of employees who are uninsured work part time. If a person is to be randomly selected from those surveyed, what is the probability that the person will neither work part time nor be uninsured?
Choose the correct option:
A) 7/12
B) 8/41
C) 9/348
D) 1/8
E) 41/70

Solution: ---------UI----------------NUI-------Total   PT ----(12.5/100)*104= 
 ----(12.5/100)*104 = 13
13----------- --54   NPT---104-13-------------- x--------296   Total--104----------------------------350   we have to find not part time and not uninsured . in other words not part time and insured= x/350 = (296-104+13)/350   = 41/70   Answer is 41/70.
Answer: E
A thief steals at a car at 2.30 p.m. and drives it at 60 km/hr. The theft is discovered at 3 p.m. and the owner sets off in another car at 80 km/hr. When will he overtake the thief?	Choose the correct choice from the following choices
A) 6:30 p.m  B) 9:30 p.m  C) 4:30 p.m  D) 2:30 p.m  E) 1:30 p.m

Solution: :   Suppose the thief is overtaken x hrs after 2.30 p.m.   Then, distance covered by the owner in (x - 1/2) hrs.   60x = 80(x - 1/2) => x = 2 hrs.   So, the thief is overtaken at 4:30 p.m.'   Answer: 4:30 p.m
Answer: C
The 540 students in a group are to be seated in rows so that there is an equal number of students in each row. Each of the following could be the number of rows EXCEPT
Choose the correct choice from the following choices:
A) 4  B) 20  C) 30  D) 60  E) 90

Solution: Obviously the number of rows must be a factor of 540. The only option which is not a factor of 540 is A (4).   4nswer: 4.
Answer: A
If Josh, Doug, and Brad have a total of $68 between them, and Josh has two times as much money as Brad but only three-fourths as much as Doug, how much money does Doug have?
Options:
A) $8  B) $9  C) $27  D) $32  E) $36

Solution: Josh+Doug+Brad = 68 ; Josh = 2 Brad, Josh =3/4 Doug   Josh+1/2 Josh+ 4/3 Josh = 68 (substituted the given values)   Josh = 24. 24= 3/4 $32oug => $32oug =32   Answer is $32.
Answer: D
A rectangular metallic piece of paper that covers exactly the area of a cube. The length of the piece of paper is 96 inches and the width is 72 inches. What is the volume of the cube in cubic feet is 1 feet is 12 inches?  Answers:
A) a 64 B) b 22 C) c 27 D) d 40 E) e 50

Solution: l = 96 /12= 
96 /12 = 8
8 ft   w= 72 / 12= 
72 / 12 = 6
6 ft   a 64rea of paper= 48   a 64rea of cube = 8 * side^2   side of cube = 4   V of cube = 64
Answer: A
A man invested Rs. 4455 in Rs. 10 shares quoted at Rs. 8.25. If the rate of dividend be 12%, his annual income is:  Select:
A) 242
B) 297
C) 648
D) 267
E) 108

Solution: Number of shares = 4455 = 540.   8.25   Face value = Rs. (540 x 10) = Rs. 5400.   Annual income = Rs. 12	x 5400 = Rs. 648.   100   Answer: 648
Answer: C
A train 110 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
Choose the correct answer:  A) 5 sec  B) 6 sec  C) 7 sec  D) 10 sec  E) 12 sec

Solution: Speed of train relative to man = 60 + 6= 
60 + 6 = 66
66 km/hr.= 66 * 5/18 = 55/3 m/sec.   Time taken to pass the men = 110 * 3/55= 
110 * 3/55 = 6
6 sec.   ANSWER:6 sec
Answer: B
In a partnership between A, B and C. A's capital is Rs.8000. If his share of a profit of Rs.800 is Rs.200 and C's share is Rs.130, what is B's capital?	Options
A) 19878	B) 12798	C) 26908	D) 11750	E) 18800

Solution: 200 + 130= 
200 + 130 = 330
330   800 - 330= 
800 - 330 = 470
470   200 ---- 8000   470 ---- ?=> 18800   Answer: 18800
Answer: E
If two sides of a triangle are 6 and 10, respectively, which of the following could NOT be the area of this triangle?  Pick
A) 1  B) 6  C) 17  D) 38  E) 29

Solution: For this question it would be helpful to know the largest area that this triangle could be, given the two sides of 6 and 10.   We know that the area of a triangle will be maximized when two sides are perpendicular to each other (consult Bunuel's drawing above). Thus we have a max area being equal to one half the base times the height, either (.5)10 * 6 -or- (.5)6 * 10 will result in a maximum area of 30 for the triangle; therefore, the triangle could never have an area of 38.   38
Answer: D
What is the area of a triangle with the following vertices L(2, 3), M(5, 1), and N(3, 5) ?	Pick one:  A) 3  B) 4  C) 5  D) 6  E) 7

Solution: There is a direct formula to calculate the are of a triangle based on coordinates of its vertices and one could use it to solve this problem.   Though if you make a diagram minimum simple calculations will be needed:   Answer: 4.
Answer: B
The C.P of 17 books is equal to the S.P of 18 books. Find his gain% or loss%?	Select:
A) 16 2/3%  B) 16 2/8%  C) 5 5/9%  D) 16 2/1%  E) 16 1/3%

Solution: 17 5 5/9%P = 18 SP   18 --- 1 5 5/9%P loss   100 --- ? => 5 5/9% loss.Answer: 5 5/9%
Answer: C
18 men working 8 hours per day dig 30 m deep. How many extra men should be put to dig to a depth of 50 m working 6 hours per day?
Choose the correct choice from the following answers
A) 22
B) 66
C) 88
D) 100
E) 281

Solution: (18 * 8)/30 = (x * 6)/50 => x =40   40 – 18 = 22   22nswer: 22
Answer: A
Oranges are purchased for $15/bag at the Farmer's Market. A bag weighs 3 lbs. The oranges are peeled and the seeds removed (removing 1/6 of the weight). Then, these oranges are crushed and used for making marmalade. It takes 1 lb of oranges to make 3 cups of crushed oranges. If 4 cups of crushed oranges can make one jar of marmalade, how much money is needed to buy oranges to make x number of jars of marmalade, in dollars? Choose the correct choice from the following.
A) 8x/3 B) 4x C) 8x D) 2x E) 3x/2

Solution: Initial cost for a bag = $15; since 1 bag = 3 lbs, 1 lb = $15/3, but ONLY 5/6 is used.   So the cost of 5/6 lb = $5, or 1 lb = $30/5,   and 1 lb of oranges = 2 cups of crushed oranges, so 2 cups of oranges costs $30/5, but 4 cups are needed for 1 jar, so cost of 4 cups = $(30/5)(4/3) = $120/15= 
120/15 = 8
$8   If 1 jar costs $8, x number of jars will cost $8x.   Answer is 8x
Answer: C
If two numbers are in the ratio 2:3 and the numerator and denominator are added and subtracted by1 and 2 respectively, then the ratio becomes 6:2, then find the biggest number? Choose the correct choice from the following answers
A) 2 B) 5 C) 3 D) 4 E) 6

Solution: 2:3   2x + 1 : 3x - 2 = 3 : 1   [2x + 1] = 3[3x - 2]   2x + 1 2  + 1= 
 2  + 1 = 3
3[3x - 2]   2x + 1= 9x -6   9x - 2x = 7   x 9  - 2= 
9  - 2 = 7
7   x= 1   Then smallest number is = 3x   3x = 3   3
Answer: C
A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 190 m long? Pick:
A) 40 sec  B) 11 sec  C) 88 sec  D) 19 sec  E) 44 sec

Solution: Speed = 45 * 5/18 = 25/2 m/sec   Total distance covered = 360 + 190= 
360 + 190 = 550
550 m   Required time= 550 * 2/25= 
550 * 2/25 = 44
44 sec   Answer: 44 sec
Answer: E