MU-NLPC/Calc-aqua_rat huggingface dataset:
A and B together can do a piece of work in 8 days. If A alone can do the same work in 12 days, then B alone can do the same work in?
Choices:
A) 22 days	B) 77 days	C) 24 days	D) 17 days	E) 18 days

Solution: B = 1/8 – 1/2 = 1/24 => 24 days   Answer: 24 days
Answer: C
Which of the following CANNOT be weighed using a balance scale and these unit weights: 1, 4, 7, and 10	Pick one.
A) 13  B) 15  C) 17  D) 20  E) 21

Solution: A. 18 (can be weighed by keeping weights of 10,1 and 7 )   B. 15 (can be weighed by keeping weights of 10,4 and 1 kg)   C. 17 (can be weighed by keeping weights of 10 and 7 kg)   D. 20(cannot be weighed)   E. 21 (can be weighed by keeping weights of 10, 7 and 4 kg)   20
Answer: D
If pqr = 1 , rqt = 0 , and tpr = 0, which of the following must be zero?	Choose the most appropriate option
A) P B) Q C) R D) S E) T

Solution: pqr = 1 which means neither p / q/ r is 0   rq x t = 0 , we know r and q are not 0 from above hence t must be 0.   similarly p and r are not 0   t x p x r = 0, p and r are not 0 hence t =0.   option T
Answer: E
If q is an integer, what is the greatest possible value for q that would still make the following statement true: 11*10^q < 1/10 ? Choose the correct choice from the following options
A) –4  B) –3  C) –2  D) –1  E) 0

Solution: Just putting values, the LHS becomes   q=0 --> 11   q=-1 --> 11/10   q=-2 --> 11/100   q=-3 --> 11/1000   Anything lower will be smaller than 11/1000. q=-2, equality does not hold but it does for q=-3.   Answer is –3.
Answer: B
Three 6 faced dice are thrown together. The probability that no two dice show the same number on them is
Choose the most appropriate option:
A) 5/7  B) 5/9  C) 5/4  D) 5/1  E) 5/3

Solution: No two dice show same number would mean all the three faces should show different numbers. The first can fall in any one of the six ways. The second die can show a different number in five ways. The third should show a number that is different from the first and second. This can happen in four ways.   Thus   6 * 5 * 4= 
  6 * 5 * 4 = 120
120 favourable cases.   The total cases are   6 * 6 * 6= 
  6 * 6 * 6 = 216
216.   The probability= 120/216 = 5/9.   Answer:5/9
Answer: B
In a certain year, the population of a certain town was 9000. If in the next year the population of males increases by 3% and that of the females by 9% and the total population increases to 9600, then what was the ratio of population of males and females in that given year?
Choose the correct choice from the following options:
A) 7 : 11 B) 5 : 4 C) 2 : 3 D) Data inadequate E) None of these

Solution: Let the population of males = x; then the population of females = 9000 – x   Now, 3% of x + 9% of (9000 – x)   = (9600 – 9000 ) = 600   or 0.03x + 720 – 0.09x = 600   or 720 – 600 = 0.09x – 0.03x   or, 120 = 0.06x   x = 3500   Reqd ratio of population of males and females   3500/9000−3500=3500/5500=7:11   7 : 11nswer 7 : 11
Answer: A
Find the greatest number that will divide 54, 87 and 172 so as to leave the same remainder in each case Pick.
A) 13 B) 3 C) 15 D) 1 E) 2

Solution: Explanation:   Required number = (87-54),(172-87),(172-54)   = H.C.F of 33,85 and 118 is 1   Answer: Option 1
Answer: D
A dishonest milkman wants to make a profit on the selling of milk. He would like to mix water (costing nothing) with milk costing Rs.42 per litre so as to make a profit of 20% on cost when he sells the resulting milk and water mixture for Rs.48 In what ratio should he mix the water and milk?
Options
A) 1:20 B) 1:10 C) 1:8 D) 1:4 E) 6:11

Solution: water = w (liter)   Milk = m (liter)   ==> Cost = Price x Quantity = 0.42m   ==> Revenue = Price x Quantity = 0.48(m + w)   ==> Profit =0.48(m+w) - 0.42m = 0.2*(0.42m)[20% of cost]   ==> 0.48m + 0.48w - 0.42m = 0.084m   ==> 0.024m = 0.48w   ==> m/w = 0.48/0.024= 
0.48/0.024 = 20
20   --OR--   w/m= 1/20   1:20 is correct.
Answer: A
If the average marks of three batches of 45, 68 and 55 students respectively is 50, 55, 60, then the average marks of all the students is	Choose the correct choice from the following choices:
A) 55.29
B) 54.68
C) 54.6
D) 54.58
E) None of these

Solution: Explanation:   (45Ã—50)+(68Ã—55)+(55Ã—60) / 45+68+55   9290 / 168=55.29   Option 55.29
Answer: A
A bus takes 6 hours to cover a distance of 540 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2 th of the previous time?  Choices: A) 60 Kmph B) 72 Kmph C) 80 Kmph D) 84 Kmph E) 86 Kmph

Solution: Time = 6   Distance = 540   3/2 of 6 hours = 6 * 3/2= 
6 * 3/2 = 9
9 Hours   Required speed= 540/9= 
540/9 = 60
60 Kmph   60 Kmph
Answer: A
In the next Worldcup of cricket there will be 12 teams, divided equally in 2groups. Teams of eachgroup will play a match against each other. From each group 3 top teams will qualify for the next round. In this round each team will play against each others once. 4top teams of this round will qualify for the semifinal round, where they play the best of 3matches. The Minimum number of matches in the next World cup will be  Choose the correct choice
A) 34  B) 36  C) 53  D) 59  E) 61

Solution: The number of matches in first round,   = 6C2 +6C2;   Number of matches in next round,   = 6C2;   Number of matches in semifinals,   = 4C2;   Total number of matches,   = 6C2 +6C2+6C2+4C2+2.   = 53.   53
Answer: C
In how many ways can 5 men & 4 women can be made from a gang of 7 men & 8 women ?
Answers:
A) 91 B) 98 C) 97 D) 86 E) 90

Solution: Explanation:   7C5 * 8C4 = 91   91
Answer: A
A group of 55 adults and 70 children go for trekking. If there is meal for either 70 adults or 90 children and if 35 adults have their meal, find the total number of children that can be catered with the remaining food.  Choose the correct choice from the following answers:	A) 33	B) 54	C) 18	D) 45	E) 01

Solution: Explanation:   As there is meal for 70 adults and 35 have their meal, the meal left can be catered to 35 adults.   Now, 70 adults = 90 children   7 adults = 9 children   Therefore, 35 adults = 45 children   Hence, the meal can be catered to 45 children.   ANSWER: 45
Answer: D
On his first 5 tests, David received an average score of N points. If on his sixth test, he exceeds his previous average score by 36 points, what is his average score for his first 6 tests? Choose the correct choice:
A) N +12
B) N +6
C) N +3
D) N +8
E) N +18

Solution: Total of 1st 5 tests= 5N   6th test score = N + 36   Total of all 6 tests = 6N + 36   Average = N +6   Answer : N +6
Answer: B
What number has a 5:1 ratio to the number 10? Choose the correct choice.
A) 11	B) 50	C) 99	D) 77	E) 21

Solution: 5:1 = x: 10   x = 50   Answer: 50
Answer: B
Each side of a rectangular field diminished by 40%. By how much per cent is the area of the field diminished?	Answers
A) 32
B) 64
C) 25
D) 16
E) None

Solution: Solution: Let the Original length of the rectangle be 20 unit and breadth be 10 unit. Then   Original Area = length *breadth = 20*10= 
20*10 = 200
200 Square unit.   40% decrease in each side, then   Length= (20 - 40% of 20) = 12 unit.   Breadth = (10 - 40% of 10) = 6 unit.   Now, Area = 12 *6= 
12 *6 = 72
72 Square unit.   Decrease in area= 200 - 72= 
200 - 72 = 128
128 square unit.   % Decrease in Area= (128/200)*100= 
(128/200)*100 = 64
64%   Mind Calculation Method:   Let the original area be 100 square unit.   100===40%↓(decrease in length)===> 60 ===40%↓===(decrease in breadth)===> 36.   Diminished in area = 100-36= 
100-36 = 64
64%   Answer: Option 64
Answer: B
A certain club has 10 members, including Jarry. One of the 10 members is chosen at random to be the president, one of the remaining 9 members is to be chosen at random to be the secretary, and one of the remaining 8 members is to be chosen at random to be the treasurer. What is the probability that Jarry will be either the member chose to be secretary or the member chose to be treasurer?  Choose the correct option
A) 1/720
B) 1/80
C) 1/10
D) 1/9
E) 1/5

Solution: In order to become a secretary the person cannot be chosen as a president. This can be done in 9/10 ways. Then to become a secretary this person's probability is 1/9   Probability to become a secretary = (9/10 * 1/9) = 1/10   Similar concept for treasurer. Probability of not president = 9/10, Probability of not secretary = 8/9, probability of treasurer 1/8   probability to become a treasurer = (9/10 * 8/9 * 1/8) = 1/10   Since, the problem is saying Jarry secretary OR Treasurer it is addition: 1/10 + 1/10 = 1/5=1/5
Answer: E
In how many ways can be 8 boys and 8 girls sit around circular table so that no two boys sit next to each other? Select the correct option:
A) (5!)^2
B) (6!)^2
C) 7!8!
D) 11!
E) (5!)^2*6!

Solution: first fix one boy and place other 7 in alt seats so total ways is 7!   now place each girl between a pair of boys... total ways of seating arrangement of girls 8!   total is 7!*8!   ANS 7!8!
Answer: C
Out of first 35 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is ? Choose the correct choice from the following:
A) 17/35
B) 7/35
C) 37/70
D) 27/35
E) 27/70

Solution: n(S) = 35   n(Even no) = 17 = n(E)   n(Prime no) = 11 = n(P)   P(EᴜP)   = 17/35 + 11/35 - 1/35   = 27/35   Answer:27/35
Answer: D
A small pool filled only with water will require an additional 600 gallons of water in order to be filled to 80% of its capacity. If pumping in these additional 600 gallons of water will increase the amount of water in the pool by 30%, what is the total capacity of the pool in gallons?  Options
A) 1000  B) 1250  C) 1300  D) 1600  E) 2000

Solution: Since pumping in additional 600 gallons of water will increase the amount of water in the pool by 30%, then initially the pool is filled with 1,000 gallons of water.   So, we have that 1,000 + 600 = 0.8*{total} --> {total} = 2,000.   Answer: 2000.
Answer: E
Chris mixed 3 pounds of raisins with 4 pounds of nuts. If a pound of nuts costs 2 times as much as a pound of raisins, then the total cost of the raisins was what fraction of the total cost of the mixture?  Options.
A) 1/7 B) 1/5 C) 1/4 D) 1/3 E) 3/11

Solution: 1 lbs of raisin = $1   3 lbs of raisin = $3   1 lbs of nuts = $2   4 lbs of nuts = $8   Total value of mixture = 8+3= 
8+3 = 11
11   Fraction of the value of raisin= 3/11   Ans:3/11
Answer: E
A shopkeeper buys two articles for Rs.1000 each and then sells them, making 20% profit on the first article and 20% loss on second article. Find the net profit or loss percent?
Choose the correct choice from the following.
A) 200
B) 768
C) 276
D) 280
E) 279

Solution: Profit on first article = 20% of 1000 = 200.   This is equal to the loss he makes on the second article. That, is he makes neither profit nor loss.   200nswer: 200
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 $24. Find the total cost of 4 kg of mangos, 3 kg of rice and 5 kg of flour?  Choose the correct choice from the following answers: A) 347.4 B) 987.4 C) 877.2 D) 1027.2 E) 1667.2

Solution: Let the costs of each kg of mangos and each kg of rice be $a and $r respectively.   10a = 24r and 6 * 24 = 2r   a = 12/5 r and r = 72   a = 144   Required total cost = 4 * 144 + 3 * 72 + 5 * 24   = 691.2 + 216 + 120= 
691.2 + 216 + 120 = 1_027.2
$1027.20   1027.2
Answer: D
Three partners A,B and C invest Rs.18000, Rs.22500 and Rs.27000 respectively in a business. If total profit is Rs.12000 then A's share is (in Rs.)	Choose the correct choice from the following answers:
A) 10000	B) 6500	C) 5000	D) 3200	E) 1500

Solution: 18000:22500:27000   4:5:6   A's share=12000*4/15= 
12000*4/15 = 3_200
3200   ANSWER:3200
Answer: D
A shipment of 1500 heads of cabbage, each of which was approximately the same size was purchased for $600.The day the shipment arrived 2/3 of the heads were sold, each at 25% above the cost per head.The following day the rest were sold at a price per head equal to 14% less than the price each head sold for the day before.what was the gross profit on this shipment? Choose the most appropriate option
A) $100 B) $115 C) $125 D) $130 E) $135

Solution: Sol:   1500 heads -> $600   1 head -> $600/1500   1 head -> $(2/5)   25% more of (2/5) -> 125/100 * 2/5 = $(1/2)   He sold   2/3*1500= 
  2/3*1500 = 1_000
1000 heads for $(1/2) per head   Total revenue by selling 1000 heads= 1000 * 1/2= 
1000 * 1/2 = 500
$500   Heads left: 500   Cost per head: 86% of the previous price: 86/100 * 1/2= $(3/7)   Total revenue by selling 500 heads = 3/7 * 500 = 215   Total revenue after selling 1500 cabbage heads - 215+500 = $715   Money spent on the purchase: $600   Profit = 715-600= 
715-600 = 115
$115   Ans: $115
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 M 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 option: A) 90% B) 80% C) 70% D) 60% E) 40%

Solution: The problem asks for the approximate chance that no more than 1/3 of the original investment is lost. We can apply the “1 – x” technique: what’s the chance that more than 1/3 of the original investment is lost? There are two outcomes we have to separately measure:   (a) All 3 investments become worthless.   (b) 2 of the 3 investments become worthless, while 1 doesn’t.   Outcome (a): The probability is (0.2)(0.2)(0.2) = 0.008, or a little less than 1%.   Outcome (b): Call the investments X, Y, and Z. The probability that X retains value, while Y and Z become worthless, is (0.8)(0.2)(0.2) = 0.032. Now, we have to do the same thing for the specific scenarios in which Y retains value (while X and Z don’t) and in which Z retains value (while X and Y don’t). Each of those scenarios results in the same math: 0.032. Thus, we can simply multiply 0.032 by 3 to get 0.096, or a little less than 10%.   The sum of these two probabilities is   0.008 + 0.096= 
  0.008 + 0.096 = 0.104
0.104, or a little more than 10%. Finally, subtracting from 100% and rounding, we find that the probability we were looking for is approximately 90%.   The correct answer is A.   This problem illustrates the power of diversification in financial investments. All else being equal, it’s less risky to hold a third of your money in three uncorrelated (independent) but otherwise equivalent investments than to put all your eggs in one of the baskets. That said, be wary of historical correlations! Housing price changes in different US cities were not so correlated—and then they became highly correlated during the recent housing crisis (they all fell together), fatally undermining spreadsheet models that assumed that these price changes were independent.
Answer: A
0.007 x 0.45=?
Options:
A) 3.15e-05  B) 0.000315  C) 0.315  D) 0.0315  E) 0.00315

Solution: 7 x 45 = 315   Sum of decimal places =5   Therefore, 0.007 x 0.45 = 0.00315   Answer is 0.00315.
Answer: E
Josiah had $42,895.39 in his savings account. He wanted to make a $10,000 deposit on a new car. The car was priced at $85,216.78. The interest rate that Josiah will be paying back, for having the vehicle financed, is 8.99%. What is the total amount that Josiah would have paid on the total cost (including financed amount (interest)) on the vehicle minus $10.000 deposit?  Choose the correct choice from the following choices:  A) 92,877.77  B) 100,562.31  C) 1.29  D) 120,261.53  E) 60,487.15

Solution: 92,877.77
Answer: A
A, B and C can do a work in 6 days, 8 days and 12 days respectively. In how many days can all three of them working together, complete the work?
Choose the most appropriate option
A) 2 2/3  B) 2 2/9  C) 2 2/8  D) 2 2/5  E) 2 2/1

Solution: Work done by all three of them in one day = 1/6 + 1/8 + 1/12 = 3/8.   The number of days required = 8/3 = 2 2/3 days.   2 2/3nswer:2 2/3
Answer: A
A line that passes through (–2, –4) and (3, k) has a slope = k. What is the value of k?  Select
A) 3/4  B) 1  C) 4/3  D) 2  E) 7/2

Solution: Slope = (y2-y1)/(x2-x1)   => k = (k+4)/(3+2)   => 5k = k+4   => k =1   Ans 1 it is!
Answer: B
The average age of 30students in a class is 5years. If teacher's age is also included then average increases 1year then find the teacher's age?
Select the correct option
A) 59 B) 55 C) 61 D) 45 E) 36

Solution: Total age of 50 students = 30*5= 
30*5 = 150
150   Total age of 51 persons= 31*6= 
31*6 = 186
186   Age of teacher= 186-150= 
186-150 = 36
36years   Answer is 36
Answer: E
An error 5% in excess is made while measuring the side of a square. What is the percentage of error in the calculated area of the square?	Choose the correct choice from the following answers:
A) 4.05%	B) 4.02%	C) 4%	D) 10.28%	E) 2%

Solution: Percentage error in calculated area   =(5+5+(5Ã—5)/100)%   =10.25%   ANSWER:10.28%
Answer: D
Solve the equation for x : 19(x + y) + 17 = 19(-x + y) - 21	Choose the correct choice
A) 1
B) -1
C) 2
D) -2
E) 3

Solution: -1   -1   19x + 19y + 17 = -19x + 19y - 21   38x = -38 => x = -1
Answer: B
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? Choose the correct answer
A) Rs.250 B) Rs.225 C) Rs.275 D) Rs.200 E) Rs.100

Solution: CP1 = 100 SP1 = 90   CP2 = 80 SP2 = 80 * (140/100)= 
80 * (140/100) = 112
112   22 ----- 100   55 ----- ?=> Rs.250   Rs.250NSWER:Rs.250
Answer: A
At Didymus Corporation, there are just two classes of employees: silver and gold. The average salary of gold employees is $70,000 higher than that of silver employees. If there are 120 silver employees and 160 gold employees, then the average salary for the company is how much higher than the average salary for the silver employees? Choose the correct answer:
A) $24,000
B) $28,000
C) $32,000
D) $36,000
E) $40,000

Solution: The answer should be -> E. $40,000
Answer: E
A train sets off at 2 p.m. at the speed of 50 kmph. Another train starts at 3:30 p.m. in the same direction at the rate of 65 kmph. At what time the trains will meet?	Choose the most appropriate option:
A) 8.37 p.m	B) 8.20 p.m	C) 8.30 p.m	D) 8.38 p.m	E) 8.10 p.m

Solution: D = 50 * 1 Â½ = 75 km   RS = 65 â€“ 50 = 15   T = 75/15= 
75/15 = 5
5 h   3.30 + 7 h= 8.30 p.m.   Answer: 8.30 p.m
Answer: C
A card game called “high-low” divides a deck of 52 playing cards into 2 types, “high” cards and “low” cards. There are an equal number of “high” cards and “low” cards in the deck and “high” cards are worth 2 points, while “low” cards are worth 1 point. If you draw cards one at a time, how many ways can you draw “high” and “low” cards to earn 6 points if you must draw exactly 4 “low” cards?	Pick one
A) 1 B) 2 C) 3 D) 4 E) 5

Solution: Great question Ravih. This is a permutations problem (order matters) with repeating elements. Given thatlowcards are worth 1 pt andhigh cards2 pts, and you must draw 3 low cards, we know that you must also draw 1 high card. The formula for permutations problems with repeating elements isN!/A!B!...where N represents the number of elements in the group and A, B, etc. represent the number of times that repeating elements are repeated. Here there are 4 elements and thelowcard is repeated 3 times. As a result, the formula is:   5!/4! which represents (5*4*3*2*1)/(4*3*2*1) which simplifies to just 5, giving you answer 5.
Answer: E
Running at the same constant rate, 100 identical machines can produce a total of 500 coffee bar per minute. At this rate, how many bottles could 20 such machines produce in 2 minutes? Answers
A) 110	B) 220	C) 330	D) 200	E) 789

Solution: Let's take the approach that uses the answer choices to eliminate wasted time.   500/100= 
500/100 = 5
5 coffee bar per minute per machine. 20 machines= 100 per minute. 2 minutes worth = 200 coffe bar.   Looking at the answers it is clear...we can only choose (200)   THE CORRECT ANSWER IS 200.
Answer: D
Two workers completed the painting of a building in 10 days. If they were to paint the building separately, how many days will it take each worker, if one of them can complete it in approximately 2 days earlier than the other.  Choose the correct choice from the following answers
A) 9 and 11  B) 19 and 21  C) 8 and 10  D) 10 and 15  E) 10 and 12

Solution: Work = (A)(B)/(A+B) where A and B are the individual times of each entity.   Here, we're told that (working together) the two workers would complete a job in 10 days. This means that (individually) each of them would take MORE than 10 days to do the job.   Answers E, A and C are illogical, since the individual times must both be greater than 10 days.   so we can TEST the values for Answers B and D.   Using the values for Answers B and D...   Answer 19 and 21: (19)(21)/(19+21) = 399/40 = 9.97 This is a match (complete it in approximately 2 days earlier than the other)   This IS a match   Final Answer:   19 and 21
Answer: B
On Sunday, the original price of a shirt was discounted by 20%. On Monday, the price of the shirt was marked up L percent so that the new price on Monday was 20% more than the original price before the discount. What is the value of L?	Choose the correct option
A) 20%	B) 30%	C) 33 1⁄3%	D) 40%	E) 50%

Solution: Let the original price be 100   discounted Price = 80   New Price = 20 +100= 
20 +100 = 120
120   L=(40/80)*100   Ans:50%
Answer: E
A certain set of test scores has an average (arithmetic mean) of 70 and a standard deviation of 25. If m and n, two numbers in the set, are both within 2 standard deviations from the average, then which of the following could be the average of m and n?
Pick:
A) 10  B) 14  C) 17  D) 19  E) 21

Solution: Given, mean = 70, SD = 25   Mean + 2(Standard Deviation) = 120   Mean - 2(Standard Deviation) = 20   m,n are both in this range i.e (20 to 120)   The least value that m,n take is 21 since m,n > 20   m=n=21   Average of 2 numbers is 21   Answer: 21
Answer: E
A money lender lends Rs.1200 for six months at 20% p.a. rate. It the interest is reckoned quarterly than find the amount given after time limit?
Choose the correct choice:
A) 2205	B) 1978	C) 2834	D) 1323	E) 2781

Solution: A = 1200(21/20)2   = 1323   Answer: 1323
Answer: D
In a 60 liters of mixture of spirit and water, water is 7 %. In order to make water 19%, how much water should be added? Select:
A) 80/9 liters
B) 70/9 liters
C) 90/9 liters
D) 60/9 liters
E) 85/9 liters

Solution: let the amount of spirit is x liters so according to the given condition   x = 60*0.93= 
60*0.93 = 55.8
55.8 and amount of water= 4.2   let the water added = y liters   so (4.2+y)/(60+y) = 19/100   on solving we will get y = 80/9 liters   80/9 litersNSWER:80/9 liters
Answer: A
A radio station has to choose five days of the seven in a week to broadcast a certain program, and that set will repeat each week. The program can be broadcast equally on any of the seven weekdays —- weekdays vs. weekends don’t matter at all —- nor does it matter whether the days the program airs are adjacent or not. Absolutely any three of the seven weekdays can be chosen. How many different three-day combinations of the seven weekdays can be constructed?  Pick one:
A) 9	B) 15	C) 21	D) 35	E) 56

Solution: Behind the story, we are really being asked to evaluate 7C5. We could use the factorial formula, but above we conveniently happen to have Pascal’s Triangle written out to the seventh row. We see that 7C5, the third entry of the seventh row, is 21. Answer = 21.
Answer: C
10 men and 15 women together can complete a work in 8 days. It takes 100 days for one man alone to complete the same work. How many days will be required for one woman alone to complete the same work?
Pick one
A) 127 days  B) 667 days  C) 177 days  D) 187 days  E) 600 days

Solution: 1 man's 1 day work = 1/100   (10 men + 15 women)'s 1 day work = 1/8   15 women's 1 day work = (1/8 - 10/100) = 1/40   1 woman's 1 day work = 1/600   1 woman alone can complete the work in 600 days.   Answer:600 days
Answer: E
The sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers?  Answers: A) 12/35 B) 1/35 C) 35/8 D) 7/32 E) 7/33

Solution: Let the numbers be a and b. Then,   a + b = 12 and ab = 35.   (a + b)/ab = 12/35   = (1/b + 1/a) = 12/35   Sum of reciprocals of given numbers = 12/35.   12/35NSWER:12/35
Answer: A