MU-NLPC/Calc-aqua_rat huggingface dataset:
On a business trip, 30 percent of 60 sales representatives will be given accommodations at Hotel XYZ and the remaining 70 percent will be given accommodations at Hotel ABC. However, 55 percent of the sales representatives prefer to stay at Hotel XYZ and 45 percent prefer to stay at Hotel ABC. What is the highest possible number of sales representatives NOT given accommodations at the hotel they prefer?
Choose the most appropriate option: A) 72 B) 52 C) 66 D) 90 E) 51

Solution: We were asked to find number of maximum possible people who were accommodated at hotels they dont prefer,   So for 18 XYZ accommodations , we can choose 18 ABC preferring people (so xyz is filled up) Here 18 were given to people who don't prefer XYZ   for 42 ABC accommodations, we can choose 33 ABC preferring people and rest to ABC. Here 33 were given to people who don't prefer ABC.   So total people who were accommodated at hotel they don't prefer = 18+33= 
18+33 = 51
51   Answer: 51
Answer: E
A can do a job in 16 days and B can do it in 30 days. A and B working together will finish twice the amount of work in ------- days?  Options.
A) 28 4/5 days	B) 25 4/5 days	C) 22 4/5 days	D) 20 4/5 days	E) 21 4/5 days

Solution: 1/16 + 1/30 = 46/480 =23/240   240/23=11 2/5 *2 = 22 4/5 days   ANSWER:22 4/5 days
Answer: C
Evaluate: |4 - 8(3 - 12)| - |5 - 11| =	Choices:  A) 49  B) 55  C) 69  D) 70  E) 82

Solution: According to order of operations, inner brackets first. Hence   |4 - 8(3 - 12)| - |5 - 11| = |4 - 8*(-9)| - |5 - 11|   According to order of operations, multiplication within absolute value signs (which may be considered as brackets when it comes to order of operations) next. Hence   = |4 + 72| - |5 - 11|   = |76| - |-6|   = 76 - 6= 
76 - 6 = 70
70   correct answer 70)70
Answer: D
If 18 percent of the students at a certain school went to a camping trip and took more than $100, and 75 percent of the students who went to the camping trip did not take more than $100, what percentage of the students at the school went to the camping trip?	Choose the correct choice from the following answers.
A) 95	B) 90	C) 85	D) 78	E) 72

Solution: Let x be the number of students in the school. 0.18x students went to the trip and took more than 100$. They compose   (100-75)= 
  (100-75) = 25
25% of all students who went to the trip. Therefore the toal of 0.18x/0.25=0.72x students went to the camping which is 72%.   The answer is 72  0.18 /0.25= 
  0.18 /0.25 = 0.72
0.72x students went to the camping which is 72%.   The answer is 72
Answer: E
A shipment of 8 television sets contains 2 black-and-white sets and 6 color sets. If 2 television sets are to be chosen at random from this shipment, what is the probability that at least 1 of the 2 sets chosen will be a black-and-white set?
A.
B.
C.
D.
E. 13/28
Select the correct option:	A) 1/7	B) 1/4	C) 5/14	D) 11/28	E) 13/28

Solution: Total cases 8C2 - Selecting 2 from set of 8   Atleast one b/w means 1 b/w and 1 color or both b/w   (2C1*6C1 + 2C2)/8C2 = 13/28   the answer choices are correct 13/28!!
Answer: E
Two train each 500 m long, are running in opposite directions on parallel tracks. If their speeds are 45 km/hr and 30 km/hr respectively, the time taken by the slower train to pass the driver of the faster one is?  Choose the most appropriate option:
A) 20s
B) 24s
C) 22s
D) 23s
E) 21s

Solution: Relative speed = 45+30= 
45+30 = 75
75 km/hr= 750/36 m/s = 125/6 m/s   We are calculating the time taken by the slower train to pass the driver of the faster one   .Hence the distance = length of the smaller train = 500 m   Time = distance/speed = 500/(125/6)= 
500/(125/6) = 24
24 s   Answer is 24s.
Answer: B
There are 4 red shoes, 3 green shoes. If one draw randomly a shoe what is the probability of getting a red shoe
Choices:	A) 1/9	B) 2/9	C) 4/7	D) 4/9	E) 2/3

Solution: total 7 from take one.   7c1=7   red 4 from one   4c1=4   4/7   ANSWER:4/7
Answer: C
A speed of 7 metres per second is the same as :	Choose the correct choice from the following answers.
A) 28.64 km/hr
B) 22 km/hr
C) 30 km/hr
D) 25.2 km/hr
E) None

Solution: Sol.   7 m/sec = [7 * 18/5] km/hr = 25.2 km/hr.   Answer 25.2 km/hr
Answer: D
If A:B is 3:4 and B:C is 4:5 then A:C is equal to	Choose the correct choice from the following answers
A) 1:3  B) 3:5  C) 3:4  D) 3:7  E) 1:5

Solution: The two ratios given are having the same number 4 for B in both the ratios.   Hence- A:3:5 = 3:4 3:5:C = 4:5   => A:C = 3:5   Answer 3:5
Answer: B
A bicyclist's wheel has a circumference of 2 meters. if the bicyclist covers 20 meters in 5 hours at a constant speed, how many rotations does the wheel make per hour at that speed?	Select
A) 2  B) 16  C) 17  D) 18  E) 19

Solution: The bicyclist covers y meters in t hrs. So he covers y/t meters in one hour.   To cover y/t meters, the bicycle's wheel went round and round that is, multiple times, the wheel completed one circumference on the road. How many times did it complete one full rotation. Since the circumference is x, the number of times it completes the circumference is y/xt.   given : x=2; y=20 and t=5   hence y/xt =20/2*5=2   2nswer (2)
Answer: A
A train travels from New York to Chicago, a distance of approximately 480 miles, at an average rate of 60 miles per hour and arrives in Chicago at 5:00 in evening, Chicago time. At what hour in the morning, New York time, did the train depart for Chicago? (Note : Chicago time is one hour earlier than New York time)
Select:
A) 10:00  B) 4:00  C) 5:00  D) 6:00  E) 7:00

Solution: 5:00 in evening in Chicago = 6:00 in evening in New York. So, the train was in Chicago 6:00 in the evening, New York time.   The trip took T=D/R=480/60= 
480/60 = 8
8 hours. Therefore, the train depart from New York at 6:00 - 8 hours= 10:00 in the morning, New York time.   10:00nswer: 10:00.
Answer: A
Sohan ranks seventh from the top and twenty-sixth from the bottom in a class. How many students are there in the class ?
Answers:  A) 43  B) 31  C) 32  D) 37  E) 35

Solution: 32   32   32learly, number of students in the class   = (6 + 1 + 25)= 
(6 + 1 + 25) = 32
32
Answer: C
A man spends 10% of his income in house rent, 20% of the rest on his children’s education, 25% of the rest miscellaneous causes. If he now posses Rs. 1944 then his income is?  Pick one: A) 3600 B) 5280 C) 3400 D) 5380 E) 3400

Solution: Explanation:   X * (90/100) * (80/100) * (75/100) = 1944   X * 0.9 * 0.8 * 0.75   X = 1944/0.54= 
1944/0.54 = 3_600
3600   3600nswer: Option 3600
Answer: A
A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 256 sq. feet, how many feet of fencing will be required? Choose the correct choice from the following choices:
A) 45.6  B) 40  C) 68  D) 88  E) 92

Solution: Given that length and area, so we can find the breadth.   Length x Breadth = 45.6rea   20 x Breadth = 256   Breadth = 12.8 feet   45.6rea to be fenced = 2B + L = 2 (12.8) + 20 = 45.6 feet answer : 45.6
Answer: A
The length of the bridge, which a train 110 m long and traveling at 45 km/hr can cross in 30 sec is? Pick.
A) 377	B) 367	C) 237	D) 245	E) 265

Solution: Speed = 45 * 5/18 = 25/2 m/sec.   Time = 30 sec   Let the length of bridge be x meters.   Then, (110 + x)/30 = 25/2   x = 265 m.   Answer: 265
Answer: E
A man can row with a speed of 15 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?  Choose the correct choice from the following:	A) 63kmph	B) 63kmph	C) 20kmph	D) 62kmph	E) 74kmph

Solution: Explanation:   M = 15   S = 5   DS = 15 + 5= 
15 + 5 = 20
20   Answer: Option 20kmph
Answer: C
The avg weight of A,B & C is 84 kg. If D joins the group, the avg weight of the group becomes 80 kg.If another man E who weights is 3 kg more than D Replaces A, Then the avgof B,C,D&E becomes 79 kg. What is the weight of A?  Pick:  A) 60  B) 34  C) 75  D) 87  E) 94

Solution: A + B + C = 3 *84= 
3 *84 = 252
252   A + B + C + D= 4 * 80= 
4 * 80 = 320
320 ---- (i)   So, D= 68& E = 68 + 3= 
68 + 3 = 71
71   B + C + D +E= 79 * 4= 
79 * 4 = 316
316 --- (ii)   From Eq. (i) & (ii)   A-E= 320 – 316 = 4   A = E +4 = 71 + 4= 
71 + 4 = 75
75   75
Answer: C
From a seven-member dance group, five will be chosen at random to volunteer at a youth dance event. If Kori and Jason are two of the seven members, what is the probability that both will be chosen to volunteer?	Choose the most appropriate option:	A) a) 1/21	B) b) 1/7	C) c) 40/7	D) d) 2/7	E) e) 3/7

Solution: Total number of ways to choose 5 out of 7 = 7C5 = 7/4.   Number of ways to choose 2 (any but Kori and Jason) out of 5 (excluding Kori and Jason) = 5C2 = 10.   P = favorable/total = 10/(7/4) = 40/7.   Answer: c) 40/7.
Answer: C
A 100-litre mixture of milk and water contains 30.25 litres of milk. 'x' litres of this mixture is removed and replaced with an equal quantum of water. If the process is repeated once, then the concentration of the milk stands reduced at 25%. What is the value of x?  Choose the correct choice from the following options:  A) 9.1 litres  B) 10 litres  C) 8 litres  D) 12 litres  E) 6 litres

Solution: Working formula ...   Initial Concentration*Initial Volume=Final Concentration*Final Volume.   Let X is the part removed from 100 lts.   30.25%(1-X/100)^2 = 25% * 100%   (1-x/100)^2=25/30.25------>(1-x/100)^2=(5/5.5)^2   100-X=500/5.5   x=9.1...   9.1 litresns 9.1 litres
Answer: A
What least number must be added to 1100, so that the sum is completely divisible by 23 ?	Choose the correct choice from the following choices.
A) 2	B) 3	C) 4	D) 5	E) 6

Solution: 48*23= 
48*23 = 1_104
1104   1104 - 1100= 
1104 - 1100 = 4
4   Answer : 4
Answer: C
the age difference between two brothers is 3 years. After 6 years the ratio between the age is 9:8
What are their ages? Choose the correct choice from the following choices:
A) 21 and 18	B) 21 and 19	C) 21 and 17	D) 20 and 18	E) 22 and 18

Solution: x-y=3   x+6/y+6=9/8   solving this we get y=18 and x=21   21 and 18   21 and 18NSWER:21 and 18
Answer: A
A man whose speed is 5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey? Select:
A) 7  B) 4  C) 6  D) 9  E) 4.55

Solution: M = 5.0   S = 1.5   DS = 6.5   US = 3.5   AS = (2 * 6 * 3) /10 = 4.55   Answer:4.55
Answer: E
The average of 6 no.'s is 3.95. The average of 2of them is 3.4, while the average of theother 2 is 3.85. What is the average of the remaining 2 no's?	Choose the correct option:
A) 3.4  B) 3.9  C) 4.1  D) 4.2  E) 4.6

Solution: Sum of the remaining two numbers = (3.95 * 6) - [(3.4 * 2) + (3.85 * 2)]   = 23.70 - (6.8 + 7.7) = 23.70 - 14.5 = 9.20.   Required average = (9.2 / 2) = 4.6.   4.6
Answer: E
A and B started business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B's share in the total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?	Select the correct option:  A) 7500  B) 7389  C) 7379  D) 7453  E) 7637

Solution: A:B:C = (20000 * 24) : (15000 * 24) : (20000 * 18) = 4:3:3   B's share = 25000 * 3/10 = Rs.7500.   7500nswer: 7500
Answer: A
P, Q and R have $7000 among themselves. R has two-thirds of the total amount with P and Q. Find the amount with R?  Choose the correct choice.
A) 2800  B) 2403  C) 3998  D) 2539  E) 1930

Solution: 2800   2800   Let the amount with R be $ r   r = 2/3 (total amount with P and Q)   r = 2/3(7000 - r) => 3r = 14000 - 2r   => 5r = 14000 => r = 2800.
Answer: A
A school’s annual budget for the purchase of student computers increased by 75% this year over last year. If the price of student computers increased by 50% this year, then the number of computers it can purchase this year is what percent greater than the number of computers it purchased last year?	Choose the correct choice from the following answers:
A) 15.5%  B) 12%  C) 14%  D) 15%  E) 16.67%

Solution: Pick numbers.   Lats year: budget = $100, price = $1 --> the number of computers purchased = 100/1= 
100/1 = 100
100;   This year: budget= $175, price = $1.5 --> the number of computers purchased = 175/1.5 = ~116.67   Increase in the number of computers purchased = 16.67%   Answer: 16.67%.
Answer: E
A certain debt will be paid in 52 installments from January 1 to December 31 of a certain year. Each of the first 8 payments is to be $410; each of the remaining payments is to be $65 more than each of the first 8 payments. What is the average (arithmetic mean) payment that will be made on the debt for the year?  Pick:
A) 443 B) 450 C) 465 D) 468 E) 475

Solution: Total number of installments = 52   Payment per installment for the first 8 installments = 410   Payment per installment for the remaining 32 installments = 410+65= 
410+65 = 475
475   Average= (8*410 + 44*475)/52= 
(8*410 + 44*475)/52 = 465
465   Answer 465
Answer: C
Working at constant rate, pump X pumped out half of the water in a flooded basement in 7 hours. The pump Y was started and the two pumps, working independently at their respective constant rates, pumped out rest of the water in 3 hours. How many hours would it have taken pump Y , operating alone at its own constant rate, to pump out all of the water that was pumped out of the basement?  Answers:
A) a. 10  B) b. 12  C) c. 34  D) d. 18  E) e. 24

Solution: rate of x=1/8   rate of x+y=1/6   rate of y=1/6-1/8=1/24   34 hours   c. 34
Answer: C
If a, b, and c are three different positive integers whose sum is prime, which of the following statements could be true? Answers:
A) Each of a, b, and c is prime.
B) Each of a + 3, b + 3, and c + 3 is prime
C) Each of a + b, a + c, and b + c is prime
D) The average (arithmetic mean) of a, b, and c is prime
E) a + b = c

Solution: 3 different +ve integers (assume a, b, c) – sum is a prime number   All prime numbers except 2 are odd.   Consider 2 -> There is no combination of a, b & c to get a sum of 2. (a, b and c have to be different and positive integers)   Now for a, b and c to add up to a prime number (>2) the possibilities are   2 numbers are even positive integers and 1 is an odd positive integer ( E, E, O – i.e. assume a & b are even and c is odd)   OR   All 3 are odd positive integers (O, O, O – a, b & c are odd)   (A)	E, E, O (even if 1 of the even numbers is 2 there is another number which cannot be prime) combination not true   but O, O, O combination could be true.   (B)	E+3 could be prime but O+3 is an even integer >2 so cannot be prime   So E,E,O combination not true (a+3 OK, b+3 OK but c+3 – cannot be prime ) and O,O,O (a/b/c+3 cannot be prime)combination is also not true.   (C)	E+O could be prime but O+O cannot be So E,E,O (a+b cannot be prime) combination and O,O,O (a+b, b+c and c+a cannot be prime) combination not true   (D)	If the average of 3 numbers is a prime number then the sum of the 3 numbers is a multiple of 3 and the arithmetic mean. So the sum cannot be even – therefore this option is also not possible.   (E)	If a+b=c then a+b+c = 2c which is an even no and hence this option is not possible   Each of a, b, and c is prime.nswer (Each of a, b, and c is prime.)
Answer: A
The distance from City A to City B is 240 miles. While driving from City A to City B, Jim drives at a constant speed of 40 miles per hour. Kerri leaves City A 60 minutes after Jim. What is the minimum constant speed in miles per hour that Kerri must exceed in order to arrive in City B before Jim?  Choose the correct option.
A) 42
B) 44
C) 46
D) 48
E) 50

Solution: The time it takes Jim to drive to City B is 240 / 40= 
240 / 40 = 6
6 hours.   Hannah needs to take less than 5 hours for the trip.   Hannah needs to exceed a constant speed of  240 / 5= 
 240 / 5 = 48
48 miles per hour.   The answer is 48.
Answer: D
A cistern is normally filled in 10 hours but takes two hours longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty it in? Choose the correct choice.
A) 33
B) 88
C) 60
D) 99
E) 11

Solution: 1/10 - 1/x = 1/12   x = 60   Answer: 60
Answer: C
A person purchased a TV set for Rs. 1800 and a DVD player for Rs. 300. He sold both the items together for Rs. 3129. What percentage of profit did he make?	Pick:
A) 20%
B) 96%
C) 40%
D) 49%
E) 23%

Solution: The total CP = Rs. 1800 + Rs. 300   = Rs. 2100 and SP = Rs. 3129   Profit(%)   = (3129 - 2100)/2100 * 100= 
(3129 - 2100)/2100 * 100 = 49
49%   Answer: 49%
Answer: D
A cube is painted red on all faces. It is then cut into 27 equal smaller cubes. How many H cubes are painted on only 2 faces?	Choose the most appropriate option:
A) 12	B) 8	C) 6	D) 10	E) 16

Solution: 1) Draw a simple cube   2) Draw 9 squares on each face of the cube (so that it looks like a Rubik's Cube) - this is what the cube will look like when it's cut into 27 equal smaller cubes.   3) Remember that the OUTSIDE of the cube is the part that's painted....   The mini-cubes with 2 painted sides are ALL on the edge of the cube, in themiddleof the edge. There are 4 in front, 4 in back and 4 more on thestripthat runs around the left/top/right/bottom of the cube. H=4 + 4 + 4= 
4 + 4 + 4 = 12
12. 12nswer 12
Answer: A
there are 41 students in a class, number of girls is one more than number of guys. we need to form a team of four students. all four in the team cannot be from same gender. number of girls and guys in the team should NOT be equal. How many ways can such a team be made? Choose the correct option.
A) 50540 ways B) 60540 ways C) 50840 ways D) 40540 ways E) 51540 ways

Solution: boys=20 and girls=21 now the combinations are {girl,girl,girl,boy} or {boy,boy,boy,girl}   so 21c3*20c1+20c3*21c1=50540 ways   50540 waysNSWER:50540 ways
Answer: A
How many combinations of three letters taken from letters (a, a, b, b, c, c ) are possible?
Options:
A) 12
B) 13
C) 5
D) 7
E) 6

Solution: So 3C3 for abc - 1 choice   2 more for aa(b,c )   2 more for bb(a,c )   2 more for cc(a,b )   total 7   Ans :7
Answer: D
A Lady has given one-fourth part of her property to her daughter, half part to her sons and one-fifth part given as charity. How much part of hier property she has given?	Answers
A) 1/20	B) 19/20	C) 1/10	D) 9/10	E) None

Solution: Answer   Total share given by a person   = (1/4) + (1/2) + (1/5)   = (5 + 10 + 4)/20   = 19/20   Option: 19/20
Answer: B
Find the amount on Rs.8000 in 9 months at 20% per annum, if the interest being compounded quarterly? Choices.
A) 9261  B) 1261  C) 9621  D) 9162  E) 5000

Solution: 9261 = 8000(21/20)3 = 9261   9261NSWER 9261
Answer: A
Mark and Ann together were allocated n boxes of cookies to sell for a club project. Mark sold 9 boxes less than n and Ann sold 2 boxes less than n. If Mark and Ann have each sold at least one box of cookies, but together they have sold less than n boxes, what is the value of n?  Choose the correct choice from the following choices
A) 9
B) 10
C) 11
D) 12
E) 13

Solution: if n =10   mark sold 1 box   and Ann sold 8 boxes   total 9 < 10   Answer:10
Answer: B
Two pipes A and B can fill a cistern in 10 and 30 minutes respectively, and a third pipe C can empty it in 50 minutes. How long will it take to fill the cistern if all the three are opened at the same time?	Options:	A) 19 1/7 min	B) 15 1/7 min	C) 17 1/7 min	D) 8.8 min	E) 7 2/7 min

Solution: 1/10 + 1/30 - 1/50 = 17/150   150/17 = 8.8   ANSWER:8.8 min
Answer: D
What is the twenty-fourth decimal to the right in the fraction 47/48? Choose the correct choice from the following answers:  A) 1  B) 2  C) 4  D) 6  E) 8

Solution: 47/48 = 0.979166666666666....   The answer is 6.
Answer: D
In the equation a = 36.12b, b and a are integers. If a/b leaves a remainder of r, which of the following must divide into r? Choose the correct choice from the following answers.
A) 2
B) 3
C) 4
D) 6
E) 12

Solution: 1) It says it is a equation, so a=36.12b should be 36.12 * b..   2) It says b is an integer, again it means 36.12 * b..   Otherwise b would be just a digit and it would be mentioned..   Although not clearly mentioned that 36.12b is actually 36.12 * b, BUT entire info points towards that..   and that is why I have taken a/b = 36.12
Answer: B
A flagpole 18 meters high casts a shadow of length 45 meters. If a building under similar conditions casts a shadow of length 55 meters, what is the height of the building (in meters)?  Select
A) 20
B) 22
C) 24
D) 26
E) 28

Solution: The height:length ratio will be equal in both cases.   18 / 45 = x / 55   x = 22   The answer is 22.
Answer: B
Five friends go to a city where they can stay in 10 different hotels. In how many ways can they stay in these hotels if at least two of them stay together? Select the correct option
A) 5^10−10C5∗5! B) 5^10−10C5 C) 5^10−5! D) 10^5−10C5∗5! E) 10^5−10C5

Solution: There are 10 hotels and each person can stay in 10 hotels   Total = 10 * 10 * 10 * 10 * 10 --> 10^5 --> Notice that there is no restriction to avoid a hotel.   Number of ways so that no person stays together with another friend = 10 * 9 * 8 * 7 * 6 = 10P5 = 10C5 * 5!   Number of ways can 5 friends stay in these hotels if at least two of them stay together = 10^5 - (10C5 * 5!)   Answer: 10^5−10C5∗5!
Answer: D
If nn is a positive integer and (n+1)(n+3)(n+1)(n+3) is odd, then (n+2)(n+4)(n+2)(n+4) must be a multiple of which one of the following?
Pick one:
A) 5 B) 7 C) 6 D) 8 E) 9

Solution: (n+1)(n+3)(n+1)(n+3) is odd only when both (n+1)(n+1) and (n+3)(n+3) are odd. This is possible only when nn is even.   Hence, n=2mn=2m, where mm is a positive integer. Then,   (n+2)(n+4)=(2m+2)(2m+4)=2(m+1)2(m+2)=4(m+1)(m+2)(n+2)(n+4)=(2m+2)(2m+4)=2(m+1)2(m+2)=4(m+1)(m+2)   =4 * (product of two consecutive positive integers, one which must be even)=4 * (product of two consecutive positive integers, one which must be even) =4 * (an even number), and this equals a number that is at least a multiple of 8=4 * (an even number), and this equals a number that is at least a multiple of 8   Hence, the answer is (8).
Answer: D
Simple interest on a certain sum is 16 over 25 of the sum. Find the rate per cent and time, if both are equal.
Choose the correct option:	A) 8% and 8 years	B) 6% and 6 years	C) 10% and 10 years	D) 12 % and 12 years	E) None of these

Solution: 16⁄25P = P×R×R/100   ⇒ R2 = 1600⁄25 ⇒ R = 40⁄5 = 8%   8% and 8 yearslso, time = 8 years   8% and 8 yearsnswer 8% and 8 years
Answer: A
Ajay marked the price of his goods 30% more than his C.P. He then sells 1/4th of his stock at a discount of 15%, and half of the stock at the marked price, and the rest at a discount of 30%. Find his gain percentage.	Choose the correct choice from the following answers
A) 16.5%  B) 15.375%  C) 14.20%  D) 13.37%  E) None of these

Solution: If C.P = 100, M.P = 130   S.P = (1/4) x 110.5 + (1/2) x 130 + (1/4) x 91   S.P = 27.625 + 65 + 22.75= 
27.625 + 65 + 22.75 = 115.375
115.375   Hence , Profit= 15.375%   ANSWER:15.375%
Answer: B
At a certain school, the ratio of the number of English majors to the number of Sociology majors is 5 to 2, and the ratio of the number of Psychology majors to the number of Sociology majors is 3 to 4. If the ratio of the number of History majors to the number of English majors is 5 to 3, what is the ratio of the number of Psychology majors to the number of History majors
Select the correct option:
A) 25 to 3
B) 20 to 9
C) 9 to 50
D) 6 to 25
E) 3 to 10

Solution: Correct 20 to 9
Answer: B
John can do a piece of work in 30 days while michael can do it in 40 days. In how many days will they finish it together?  Choose the correct option.
A) 17 1/7 days	B) 27 1/7 days	C) 23 2/7 days	D) 16 4/11 days	E) 17 5/11 days

Solution: Explanation:   1/30 + 1/40 = 7/120   120/7 = 17 1/7 days   17 1/7 daysnswer: 17 1/7 days
Answer: A
A and B can finish a piece of work in 30 days. They worked at it for 20 days and then B left. The remaining work was done by A alone in 20 more days. A alone can finish the work in Choose the correct choice from the following options
A) 48 days
B) 50 days
C) 54 days
D) 60 days
E) 65 days

Solution: Explanation:   (A + B)’s 1 day’s work = 1/30   Their 20day’s work = 1/30 × 20 = 2/3   Remaining 1/3 work is done by A in 20 days   Therefore, A alone can finish the work in 3 × 20 = 60 days.   Answer: Option 60 days
Answer: D