MU-NLPC/Calc-aqua_rat huggingface dataset:
Divide Rs. 1500 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?	Choose one
A) 227
B) 268
C) 375
D) 998
E) 121

Solution: A+B+375 = 1500   A = 1/3(B+375); B = 2/3(A+375)   A/(B+375) = 1/3   A = 1/4 * 1500= 
1/4 * 1500 = 375
> 375   Answer: 375
Answer: C
The ratio of ducks and frogs in a pond is 37 : 39 respectively. The average number of ducks and frogs in the pond is 132. What is the number of frogs in the pond ? Select
A) 148  B) 134  C) 156  D) 144  E) None

Solution: Solution:   Ratio of Ducks and Frogs in Pond,   = 37 : 39.   Average of Ducks and Frogs in Pond,   = 132.   So, total number of Ducks and Frogs in the Pond,   = 2* 132 = 262.   Therefore,   Number of Frogs, = (262*39)/76 = 134.   Answer: Option 134
Answer: B
A train of length L is traveling at a constant velocity and passes a pole in t seconds. If the same train travelling at the same velocity passes a platform in 4t seconds, then what is the length of the platform?	Choose the correct choice from the following options:
A) 0.5L
B) L
C) 1.5L
D) 2L
E) 3L

Solution: The train passes a pole in t seconds, so velocity v = L/t   (L+P)/v = 4t   (L+P) / (L/t) = 4t   P = 3L   The answer is 3L.
Answer: E
A and B enter into a partnership with respective capitals of Rs. 20,000 and Rs. 40,000. At the end of the year, the total profit is Rs. 42,000. If A receives Rs. 15,000 as both his salary and profit, then what is his salary?  Choose the correct choice:
A) Rs. 1000
B) Rs. 4000
C) Rs. 3500
D) Rs. 3000
E) None of these

Solution: Explanation:   A's capital : B 's capital   20000 : 40000 = 1 : 2   Since, the time period is fixed, the profit is distributed in the ratio of capital 1 : 2   Profit of A = (1/3) * 42,000 = Rs. 14,000   Salary of A = Rs. (15000 – 14000) = Rs. 1000   Rs. 1000NSWER: Rs. 1000
Answer: A
A wheel rotates 10 times every minute and moves 20 cm during each rotation. How many metres does the wheel move in two hour?  Select:
A) 240 metre B) 12 metre C) 120 metre D) 1200 metre E) 2200 metre

Solution: Expl : Number of times wheel moves in 2 hour = 10 * 120= 
10 * 120 = 1_200
1200   :. Distance moves= (1200 *20)= 
(1200 *20) = 24_000
24000 cm   In metres= 240 metre   240 metrenswer: 240 metre
Answer: A
The simple interest on Rs.500 at 6% per annum from May 3rd to July 15th in the same year is Choices.
A) Rs. 8	B) Rs. 6	C) Rs. 4	D) Rs. 9	E) Rs.10

Solution: Explanation :   Time from May 3rd to July 15th = 28 days of May + 30 days of June and 15 days of July   = 73 days= 73/365 years = 15 years   Simple interest = PRT/100=500×6×15/100=6   Answer : Option Rs. 6
Answer: B
8 liters of a 25 percent solution of alcohol in water are mixed with 2 liters of a 12 percent alcohol in water solution. What is the percentage of alcohol in the new solution?  Choices:
A) 21.2%
B) 21.6%
C) 22.0%
D) 22.4%
E) 22.8%

Solution: The total amount of alcohol is 0.25(8) + 0.12(2) = 2.24 liters.   The percentage is 2.24 / 10 = 22.4 / 100 which is 22.4%   The answer is 22.4%.
Answer: D
19.19/2000 is equal to:	Pick:
A) 1.01252633 B) 0.01262533 C) 0.12526333 D) 0.012793333 E) 0.12725333

Solution: 19.19/2000 = 2525/200000   = 0.012793333   ANSWER:0.012793333
Answer: D
If 2x+3y=34 and ((x + y)/y)=13/8,then find the value of 5y+7x. Select: A) 75 B) 65 C) 85 D) 95 E) None of them

Solution: The given equations are:   2x+3y=34 …(i) and, ((x + y) /y)=13/8 => 8x+8y=13y => 8x-5y=0 …(ii)   Multiplying (i) by 5,(ii) by 3 and adding, we get : 34x=170 or x=5.   Putting x=5 in (i), we get: y=8.   Therefore, 5y+7x=((5*8)+(7*5))=40+35= 
40+35 = 75
75   75nswer is 75.
Answer: A
A dish of Babette’s mango surprise consists entirely of mangoes, slivered almonds, agave nectar, and assorted other fruits. If a serving of the dish contains 6 oz. of mango, 5 oz. of slivered almonds, and 2 oz. of agave nectar, and the ratio of mangoes to sunflower seeds is trippled, what is the ratio of mangoes to the rest of the ingredients in the new serving of the dish? Choose the correct choice
A) 1: 3  B) 12 : 27  C) 4: 8  D) 2 : 16  E) The answer cannot be determined from the information given.

Solution: This answer really has too many words for such a simple question. The answer is The answer cannot be determined from the information given..
Answer: E
In a class of students, the ratio of girls to boys is 2:5. If 4 more girls joined the class, the ratio would be 1:2. How many students are in the class?	Choose the correct choice from the following answers
A) 42
B) 49
C) 50
D) 54
E) 56

Solution: Let x be the number of students in the class.   (2/7)*x=(1/3)(x+4)-4   6x=7x+28-84   x=56   The answer is 56.
Answer: E
Find the value of “n” where 348 + 31996 + 33943 + 33n. Options:
A) 1963 B) 1964 C) 1960 D) 1991 E) 1992

Solution: 3^48 + 3^1996 + 3^3943+3^3n   (3^16 )^3 + 3^1996 + 3^3943 + (3^n)^3   its expansion of (a+b)^3=a^3+3a^2b+3ab^2+b^3   => 3*(3^16)^2*3^n=3^1996   => 3^(33+n)=3^1996   => n = 1963   1963NSWER:1963
Answer: A
Two trains run in opposite directions on a circular track. Train A travels at a rate of 4π miles per hour and Train B runs at a rate of 6π miles per hour. If the track has a radius of 6 miles and the trains both start from Point R at the same time, how long, in hours, after the trains depart will they again meet at Point R?	Select the correct option
A) 3  B) 6  C) 9  D) 18  E) 22

Solution: I don't agree with your solutions, first. And second the answer choices don't seem to contain the right answer.   My solution is as follows, and I ask anyone to correct me if I am wrong.   Solution 1   Let the distance covered by train A be X, thus that covered by the train B will be 12*3.14-X   dA = X dB = 12*3.14 - X   Times taken by A and B are   tA= X/4*3.14 , tB = (12*3.14 - X)/6*3.14 (ii)   Since they have been traveling for the same period of time, then   X/4*3.14 = (12*3.14 - X)/6*3.14   X/2 =(12*3.14 -X)/3   3X = 2(12*3.14 -X)   5X = 24*3.14   X = 24*3.14/5   Plugging that in either equation of (ii) yields t = 6/5   Solution 2   We add the speed of A and B: totalSpeed R= 4*3.14 + 6*3.14 = 10*3.14   Total distance covered = 12*3.14   t ime = distance / speed = 12*3.14/10*3.14 = 6/5.   tA =( X/4*3.14) =(24*3.14/5)/4*3.14 = 6/5=6
Answer: B
what should be multiplied to 2880 to make it a perfect square?
Choose the correct choice.
A) 2  B) 3  C) 4  D) 5  E) 6

Solution: Step 1== 288*10   Step 2== 144*2*2*5   Step 3== 12*12*2*2*5 if perfect square===12*12*2*2*5*5   So answer is 5 we have to multiply it by 5 to make it as a perfect square.   ANSWER:5
Answer: D
Pipe A fills a tank of capacity 750 liters at the rate of 40 liters a minute. Another pipe B fills the same tank at the rate of 30 liters a minute. A pipe at the bottom of the tank drains the tank at the rate of 20 liters a minute. If pipe A is kept open for a minute and then closed and pipe B is open for a minute and then closed and then pipe C is open for a minute and then closed and the cycle is repeated, when will the tank be full?  Select the correct option.
A) 45 minutes	B) 14 minutes	C) 39 minutes	D) 40 minutes 20 seconds	E) None of these

Solution: In one cycle they fill 40+30-20= 
40+30-20 = 50
50 liters   750= 50*n => n = 15   here n = number of cycles.   total time = 15*3= 
15*3 = 45
45 as in one cycle there are 3 minutes.   thus 45 minutes   45 minutesNSWER:45 minutes
Answer: A
The distance traveled by Airplane in one year approximately 3,570,000,000 miles.The distance traveled by Airplane in 10 years?  Select
A) 10<7>  B) 10<5>  C) 10<10>  D) 10<9>  E) 10<8>

Solution: The distance traveled by Airplane in one year = 3,500,000,000 miles   The distance traveled by Airplane in 10years = 3,500,000,000 miles * 10 years = 35,000,000,000   = 35*10<9> (exponent miles) Answer : 10<9>
Answer: D
In each term of a sequence, 3 is added to get the next term. If the first term is 6, what is the 64th term?
Choose the most appropriate option:
A) 192  B) 154  C) 134  D) 174  E) 120

Solution: 1rst term + 63 terms = 6 + 3+3+3+3+3+3+3+...+3 (63 times)   6 + (3 x 63) = 3 + 189= 
3 + 189 = 192
192   192nswer 192
Answer: A
Two pipes A and B can fill a tank in 12 and 24 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank?
Choose the correct choice from the following options.
A) 8 min	B) 28 min	C) 18 min	D) 5 min	E) 6min

Solution: Explanation :   Part filled by pipe 8 min in 1 minute= 1/12   Part filled by pipe B in 1 minute= 1/24   Part filled by pipe 8 min and pipe B in 1 minute= 1/12+1/24=1/8   i.e., both the pipe together can fill the tank in 8 minutes   8 minnswer is 8 min
Answer: A
X and Y invest Rs.22500 and Rs.17500 respectively in a business. At the end of the year, they make a profit of Rs.26400. What is the share of X in the profit? Choose the correct choice from the following options: A) Rs.14850 B) Rs.26400 C) Rs.12000 D) Rs.12500 E) Rs.13500

Solution: Ratio of the investment=22500:17500=9:7   Share of X in the profit=(26400×9)/16=   =14850   Rs.14850NSWER:Rs.14850
Answer: A
The average weight of a group of persons increased from 48 kg to 51 kg, when two persons weighing 78 kg and 93 kg join the group. Find the initial number of members in the group? Select the correct option:	A) 34	B) 21	C) 23	D) 25	E) 29

Solution: Let the initial number of members in the group be n.   Initial total weight of all the members in the group = n(48)   From the data,   48n + 78 + 93 = 51(n + 2) => 51n - 48n = 69 => n = 23   Therefore there were 23 members in the group initially.   Answer: 23
Answer: C
Dhoni bought 5 shirts with the average cost of $60. If David also buys the sixth shirt with the price of $ 72, what is the average (arithmetic mean) price of those 6 toys?  Select:	A) $63	B) $64	C) $65	D) $62	E) $66

Solution: 5 shirts-> Total cost = 5 * Avg cost = 5*60= 
5*60 = 300
300   Sixth toy cost= 72   Total cost for 6 toys= 300+72= 
300+72 = 372
372   AM= 372/6= 
372/6 = 62
62   Hence $62
Answer: D
How many natural numbers are there which give a remainder of 41 after dividing 1997?  Choose the correct choice from the following answers:	A) 2	B) 4	C) 6	D) None of these	E) Cannot be determined

Solution: Solution   Let us assume that the quotient is Q and divisor is D.   Using the condition given in question,   1997 = QD + 41   ⇒ QD = 1956.   Now we will factorize 1956 in two parts such that D (divisor) is more than 41. Answer 6
Answer: C
40% of a number is more than 20% of 650 by 190. Find the number?  Choose the correct choice from the following choices:
A) 600  B) 700  C) 800  D) 900  E) 1000

Solution: Explanation:   (40/100) * X â€“ (20/100) * 650 = 190   2/5 X = 320   X = 800   ANSWER IS 800
Answer: C
A man spends Rs. 1400 per month on an average for the first three months, Rs 1550 for next four months and Rs. 1800 per month for the last five months and saves Rs . 5200 a year. What is his average monthly income?  Select the correct option:
A) 2050
B) 2100
C) 2200
D) 2300
E) 2400

Solution: Explanation:   Total expenditure for the first 3 months = 3 Ã— 1400 = 4200   Total expenditure for 4 months = 4 Ã— 1550 = 6200   Total expenditure for 5 months = 5 Ã— 1800 = 9000   Total expenditure and saving (which is income for one year)   = 4200 + 6200 + 9000 + 5200 = Rs. 24600   So, Average monthly income = 25200/12 = Rs. 2050   2050nswer 2050
Answer: A
A particular parking garage is increasing its rates by 15 percent per month. Bob decides to reduce the number of days he uses the garage per month so that the amount he spends at the garage per month remains unchanged. Which of the following is closest to Bob’s percentage reduction in the number of days he uses the garage each month?	Answers: A) 10% B) 11% C) 12% D) 13% E) 14%

Solution: Let parking rate = 100   =(15/100+15)*100   =13.04%   ANSWER:13%
Answer: D
Sabrina is contemplating a job switch. She is thinking of leaving her job paying $85,000 per year to accept a sales job paying $45,000 per year plus 20 percent commission for each sale made. If each of her sales is for $1,500, what is the least number of sales she must make per year if she is not to lose money because of the job change? Choose the correct choice from the following:
A) 57 B) 177 C) 178 D) 133 E) 378

Solution: Lets say she sales x items so her commission will be : x * 1500*20 /100 = 300x   Salary difference is:   85000 - 45000= 
  85000 - 45000 = 40_000
40000   So commission must at least be equal to salary difference i.e. x= 40000/300= 133 (Approx).   Hence answer is 178
Answer: C
If the average (arithmetic mean) of five consecutive negative integers is 2k – 1, what is the difference V between the greatest and least of the five integers?  Choices
A) 4K	B) 4k^2 -4k	C) 4-4k	D) 4	E) 4k+4

Solution: (n-2 + n - 1 + n + n + 1 + n + 2)/5 = 2k - 1   => n = 10k - 5   Greatest = n + 2 = 10k - 5 + 2 = 10k - 3   Least = n - 2 = 10k - 5 - 2   => 4ifference V= 10k - 3 - (10k - 7)   = 4   Answer - 410  - 3 - (10  - 7)= 
10  - 3 - (10  - 7) = 4
4   Answer - 4
Answer: D
A zinc-copper alloy with 3 kg of pure zinc would contain 80% of zinc. The alloy with 2 kg of 80% zinc alloy contains 64% of zinc. Calculate the weight and percentage of zinc in the zinc-copper alloy.	Choose one:	A) 2.4 kg or 80%	B) 1.4 kg or 88%	C) 3.4 kg or 60%	D) 7.4 kg or 18%	E) 0.8 kg or 45.7%

Solution: Right Answer 0.8 kg or 45.7%xplanation:   x : 3   y : 100   80   20 : 80 – y   (80-y)/3 = 20/x = ………..(1)   In the second case,   x 2   y 80   64   16 64-y   Therefore (64-y)/2 = 16/x ………..(2)   Dividing (1) and (2)   =   640 – 8y = 960 – 15y   7y = 320   y = 45.7   x = 60/(80-45.7) = 60/34.3 = 1.75 kg   Quantity of zinc in x = 45.7% of x   = 0.457 1.75   = 0.799=0.8 kg   Weight and percentage of zinc is 0.8 kg or 45.7%   0.8 kg or 45.7%
Answer: E
Of the 200 math majors at a certain university, 20 percent will be assigned to advanced calculus on Monday and Wednesday and the remaining 70 percent will be assigned to advanced calculus on Tuesday and Thursday. However, 40 percent of the math majors prefer Tuesday and Thursday and 60 percent prefer Monday and Wednesday. What is the lowest possible number of math majors who will NOT be assigned to the days they prefer?  Pick:  A) 15  B) 20  C) 30  D) 45  E) 60

Solution: 30% of students are assigned to Monday and Wednesday = 0.3*200= 
0.3*200 = 60
60   70% of students are assigned to Tuesday and Thursday= 0.7*200= 
0.7*200 = 140
140   60% of students prefer Monday and Wednesday= 0.6*200= 
0.6*200 = 120
120   40% of students prefer Tuesday and Thursday= 0.4*200= 
0.4*200 = 80
80   Since we need theleastnumber of students who will not be assigned to their preferred days, we shall fit in themaximumpossible students as per their preference:   All of the 40% of students who prefer Tuesday and Thursday can be accommodated to their preferred days, whereas only 60 out of 120 students who prefer Monday and Wednesday can be accommodated to their preferred days.   The remaining 60 students who prefer Monday and Wednesday will be allocated to Tuesday and Thursday by default, which is not their choice.   Answer is 20.
Answer: B
A motorcyclist goes from Bombay to Pune, a distance of 160 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?  Choose the correct option:
A) 1:2 B) 2:5 C) 1:4 D) 1:1 E) 1:6

Solution: T = 160/32= 
160/32 = 5
5 h   T= 5 - 3= 
5 - 3 = 2
2   Time Ratio= 5:2 = 5:2   Speed Ratio = 2:5   Answer: 2:5
Answer: B
According to a 2010 census, China's population was 1.34 billion people. If the ratio of male's to females is 1.052:1, respectively, then how many women are there? Answer in terms of (M = women).  Choose the correct choice from the following:  A) W = M - 1.052  B) W = (M)(1.052)  C) W = M + 1.052  D) W = M/1.052  E) W = 1.052 - M

Solution: The ratio of M to W, where   M = the number of males, and   W = the number of females.   Population = 1.34 billion people.   M/W:M/M = 1.052:1, so   M/W = 1.052   W = M/1.052   Answer is W = M/1.052
Answer: D
A can do a piece of work in 28 days and B alone can do it in 10 days. B works at it for 5 days and then leaves. A alone can finish the remaining work in Choose the correct choice from the following options.
A) 5days  B) 6days  C) 7.5days  D) 14days  E) 9days

Solution: Explanation:   B's 5 days work =   1/10∗5=1/2   Remaining work =1−1/2=1/2   A can finish work =28∗1/2=14days   Option 14days
Answer: D
A certain number when divided by 50 leaves a remainder 25, what is the remainder if the same no.be divided by 15? Choose the correct choice from the following choices
A) 4  B) 5  C) 6  D) 8  E) 9

Solution: Explanation:   50 + 25= 
50 + 25 = 75
75/15= 
75/15 = 5
5 (Remainder)   5
Answer: B
In the biology lab of "Jefferson" High School there are 5.4*10^6 germs, equally divided among 10,800 Petri dishes. How many germs live happily in a single dish?
Pick one
A) 100	B) 200	C) 500	D) 1000	E) 5000

Solution: 5.4*10^6/ 10800==> 54*10^3/108==> 54000/108= 
54000/108 = 500
500   ANSWER:500
Answer: C
The cost price of a radio is Rs.1900 and it was sold for Rs.1330, find the loss %? Select:  A) 18%  B) 31%  C) 30%  D) 45%  E) 12%

Solution: 1900 ---- 570   100 ---- ? => 30%   Answer:30%
Answer: C
A WORKS TWICE AS FAST AS B. IF B CAN COMPLETE A WORK IN 10 DAYS INDEPENDENTLY, THE NUMBER OF DAYS IN WHICH A AND B CAN TOGETHER FINISH THE WORK IS: Select the correct option
A) 11/3 DAYS
B) 10/3 DAYS
C) 12/3 DAYS
D) 3/12 DAYS
E) 3/10 DAYS

Solution: RATIO OF RATES OF WORKING OF A AND B = 2:1. SO, RATIO OF TIME TAKEN = 1:2   A'S 1 DAY'S WORK = 1/5, B'S 1 DAY'S WORK = 1/10   (A+B)'S 1 DAY'S WORK = (1/5+1/10)=3/10=10/3   SO, A AND B TOGETHER CAN FINISH THE WORK IN 10/3 DAYS.   CORRECT OPTION: 10/3 DAYS
Answer: B
In a simultaneous throw of pair of dice. Find the probability of getting the total more than 7. Choose the correct choice.
A) 5/19
B) 5/12
C) 5/28
D) 5/10
E) 5/11

Solution: Explanation:   Here n(S) = (6 x 6) = 36   Let E = event of getting a total more than 7   = {(2,6),(3,5),(3,6),(4,4),(4,5),(4,6),(5,3),(5,4),(5,5),(5,6),(6,2),(6,3),(6,4),(6,5),(6,6)}   Therefore,P(E) = n(E)/n(S) = 15/36 = 5/12.   Answer: 5/12) 5/12
Answer: B
The price of 3 tables and 4 chairs is Rs. 3300. With the same money one can buy 2 tables and 10 chairs. If one wants to buy 1 table and 1 chair, how much does he need to pay? Choices:
A) 940  B) 1050  C) 1100  D) 1240  E) 1296

Solution: Let price of a table = t   and price of a chair = c   3t + 4c = 3300 ---(Equation 1)   2t + 10c = 3300   => t + 5c = 1650 ---(Equation 2)   (Equation 2) × 3 => 3t + 15c = 4950 ---(Equation 3)   (Equation 3) - (Equation 1) => 11c = 1650   => c = 150   Substituting the value of c in equation 1, we get   3t + (4 × 150) = 3300   => 3t = 3300 – 600 = 2700   =>t = 2700/3= 
2700/3 = 900
900   Cost of 1 table and 1 chair= c + t = 150 + 900= 
150 + 900 = 1_050
1050   Answer : Option 1050
Answer: B
A train running at the speed of 180 km/hr crosses a pole in 7 seconds. What is the length of the train?
Choices:
A) 530
B) 305
C) 503
D) 430
E) 350

Solution: Speed=(180 * 5/18) m/sec = (50) m/sec Length of the train = (Speed x Time) = (50 * 7)= 
(50 * 7) = 350
350 m.   Answer: 350
Answer: E
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 16%?	Choose the correct choice from the following
A) 20%
B) 26%
C) 42%
D) 27%
E) 22%

Solution: SP2 = 2/3 SP1   CP = 100   SP2 = 84   2/3 SP1 = 84   SP1 = 126   100 --- 26 => 26%   Answer: 26%
Answer: B
The arithmetic mean and standard deviation of a certain normal distribution are 12 and 1.2, respectively. What value is exactly 2 standard deviations less than the mean?
Choose one.
A) 9.6
B) 11
C) 11.5
D) 12
E) 12.5

Solution: Mean = 12   Two standard deviations is 1.2 + 1.2= 
1.2 + 1.2 = 2.4
2.4   There could be two calues for this.   Mean + two standard deviations= 14.4   Mean - Two standard deviations = 9.6   9.6nswer choice has 9.6 and so 9.6 is the answer.
Answer: A
If X is the sum of first 10 positive even integers and Y is the sum of first 10 positive odd integers, what is the value of x-y?
Please try to explain your answers
Choose the most appropriate option:
A) 10
B) 25
C) 50
D) 75
E) 100

Solution: First even minus first odd = 2-1= 
2-1 = 1
1;   The sum of first 2 even integers minus the sum of first 2 odd integers= (2+4)-(1+3)= 
(2+4)-(1+3) = 2
2;   The sum of first 3 even integers minus the sum of first 3 odd integers= (2+4+6)-(1+3+5)= 
(2+4+6)-(1+3+5) = 3
3;   We can see the patterns here, so the sum of first 10 positive even integers minus the sum of first 10 positive odd integers will be 10.   10nswer: 10.
Answer: A
There is a 4 inch cube painted on all sides. This is cut into no of 1 inch cubes. What is the no of cubes which have no painted sides. Options
A) 7
B) 8
C) 9
D) 10
E) 11

Solution: The original cube is cut into 64 pieces. Removing all cubes from any two opposite pairs of faces leaves total 32 cubes, as one face contains 16 cubes each. It can be seen that in the remaining two layers, only four each from each layer have no sides painted. So total = 2*4= 
2*4 = 8
8 cubes.   ANSWER:8
Answer: B
If m and n are positive integer, and 1800m=n^3, what is the least possible value of m?	Choose the correct choice from the following choices:
A) 2	B) 3	C) 15	D) 30	E) 45

Solution: 1800*m=n^3   m=n^3/1800   =n^3/(3^2*5^2*2^3)   so n has to be 3*5*2 so that n^3 is divisible by 1800.   So m= (2*3*5)^3/(3^2*5^2*2^3)   m=15   ANSWER:15
Answer: C
Worker A takes 8 hours to do a job. Worker B takes 10 hours to do the same job. How long it take both A & B, working together but independently, to do the same job? Choose the correct answer
A) 40/9 days	B) 40/7 days	C) 7.5 days	D) 8.5 days	E) 9.5 days

Solution: A's one hour work = 1/8.   B's one hour work = 1/10.   (A+B)'s one hour work = 1/8+1/10 = 9/40.   Both 40/9 days & B can finish the work in 40/9 days   40/9 daysnswer : 40/9 days.
Answer: A
The difference between the length and breadth of a rectangle is 42 m. If its perimeter is 280 m, then its area is:  Choose the correct choice from the following choices.
A) 1520 m2  B) 4250 m2  C) 4459 m2  D) 4092 m2  E) None

Solution: EXPLANATION   We have: (l â€“ b) = 42 and 2(l + b) = 280 or (l + b) = 140.   Solving the two equations, we get: l = 91 and b = 49.   Area = (l x b) = (91x 49) m2 = 4459 m2.   Answer 4459 m2
Answer: C
Having received his weekly allowance, a student spent 3/5 of his allowance at the arcade. The next day he spent one third of his remaining allowance at the toy store, and then spent his last $1.00 at the candy store. What is this student’s weekly allowance?
Choose the correct choice.
A) $2.75 B) $3.25 C) $3.75 D) $4.25 E) $4.75

Solution: Let x be the value of the weekly allowance.   (2/3)(2/5)x = 100 cents   (4/15)x = 100   x = $3.75   The answer is $3.75.
Answer: C