MU-NLPC/Calc-aqua_rat huggingface dataset:
In a survey about potential presidential candidates A and B, 33% of the public like A and 51% like B. If the percentage of the public who like one candidate only is twice the percentage of the public who like both candidates, then what is the percentage of the public that like neither? Choose the correct answer
A) 28%	B) 32%	C) 37%	D) 22%	E) 67%

Solution: Let x be the percentage of people who like both.   Then the percentage of people who like only 1 but not both is 2x.   33% + 51% = 2x + 2(x) because the percentage who like both are counted twice.   Then x = 21% and 2x = 42%   100% = 21% + 42% + Neither   Neither = 37%   The answer is 37%.
Answer: C
Linda and Angela contract to paint a neighbor's house. Even though Linda spends 40% more time painting the house than Angela, each receives a payment of m dollars when the work is completed. If Angela decides to pay Linda n dollars so that they would have received the same compensation per hour worked, what is n in terms of m ?
Choose the correct option.
A) 1/2 m	B) 1/3 m	C) 1/4 m	D) 1/5 m	E) 1/6 m

Solution: After the final transaction:   Angela received $(m-n) for t hours;   Linda received $(m+n) for 1.5t hours;   We are told that after that transaction they received the same compensation per hour: (m-n)/t=(m+n)/1.5t --> 1.5m-1.5n=m+n -->m=5n --> n=m/6.   Answer: 1/6 m.
Answer: E
Calculate the effect changes in dimension of a rectangle will have on its area, if length is increased by 35% and its breadth is decreased by 21%? Pick
A) 4.65% increase	B) 5.65% increase	C) 6.65% increase	D) 6.65% decrease	E) 7.65% increase

Solution: let L and B be 100 each     100 * 100= 
  100 * 100 = 10_000
10000   L increase by 35%= 135   B decrease by 21% = 79   135 * 79= 
135 * 79 = 10_665
10665   6.65% increase   ANSWER:6.65% increase
Answer: C
Two pipes function simultaneously the reservoir will be filled in 12 hours. One pipe fills reservoir 10 hours faster than the other. How many hours does the faster pipe take to fill the reservoir?
Select the correct option: A) 25 hrs B) 28 hrs C) 20 hrs D) 35 hrs E) 40 hrs

Solution: Explanation:   1/x + 1/(x + 10) = 1/12   x = 20   ANSWER IS 20 hrs
Answer: C
The Shopkeeper increased the price of a product by 25% so that customer finds it difficult to purchase the required amount. But somehow the customer managed to purchase only 60% of the required amount. What is the net difference in the expenditure on that product?
Choose the most appropriate option:
A) A)12.5% B) B)13% C) C)13.15% D) D)14% E) E)15%

Solution: Quantity X Rate = Price   1 x 1 = 1   0.6 x 1.25 = 0.755   Decrease in price = (0.125/1) × 100 = 12.5%   12.5%)
Answer: A
Daniel went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 5%, then what was the cost of the tax free items?	Choose the correct answer:
A) A)18.7	B) B)20	C) C)21.3	D) D)21.5	E) E)22

Solution: Total cost of the items he purchased = Rs.25   Given that out of this Rs.25, 30 Paise is given as tax   => Total tax incurred = 30 Paise = Rs.30/100   Let the cost of the tax free items = x   Given that tax rate = 5%   ∴ (25−30/100−x)5/100 = 30/100   ⇒ 5(25 −0.3 −x) = 30   ⇒ (25 − 0.3 − x) = 6   ⇒ x = 25 − 0.3 − 6   = 18.7   18.7
Answer: A
Each book on a certain shelf is labeled by a single category. For every 2 history books, there are 7 fantasy books and for every 2 fantasy books, there are 5 reference books. If the proportion of history to fantasy books is doubled, while the proportion of fantasy to reference books is maintained, which of the following could be the number of history books if there are fewer than 60 fantasy books on the shelf after the changes? Choose the correct option:  A) 16  B) 21  C) 27  D) 35  E) 36

Solution: For every 2 history books, there are 7 fantasy books:   Originally H:F = 2:7. After the change, H:F = 4:7 = 8:14   For every 2 fantasy books, there are 5 reference books:   F:R = 2:5 = 14:35   H:F:R = 8:14:35   There are fewer than 60 fantasy books, so there are 14, 28, 42, or 56 fantasy books.   The number of history books could be 8, 16, 24, or 32.   The answer is 16.
Answer: A
Tough and Tricky questions: Mixture Problems.
A drink holding 6 ounces of an alcoholic drink that is 1 part rum to 2 parts coke is added to a jug holding 31 ounces of an alcoholic drink that is 1 part rum to 3 parts coke. What is the ratio of rum to coke in the resulting mixture?  Choose the correct choice from the following answers:
A) 2:5
B) 5:14
C) 3:5
D) 5:13
E) 14:5

Solution: Answer = D) 5:14   ........................ Rum ..................... Coke ................. Total   First Drink ........... 2 ............................ 4 ..................... 6 (Ratio 1:2)   Second Drink ....... 8 ............................. 24 ................... 32 (Ratio 1:3)   Total .................. 10 ............................. 28 .................... 38   Ratio = 10:26 = 5:13   5:13
Answer: D
Express a speed of 56 kmph in meters per second?  Choose the correct choice from the following choices:
A) 10.56 mps
B) 17.56 mps
C) 97.56 mps
D) 15.56 mps
E) 18.56 mps

Solution: 56 * 5/18   = 15.56 mps   Answer: 15.56 mps
Answer: D
A, B and C started a business A's investment is 2 times of B's investment is 5 times of C's investment. Find the profit of B in the total profit of Rs. 32000.
Choose the correct choice from the following answers
A) Rs. 25600
B) Rs. 8500
C) Rs. 10000
D) Rs. 8000
E) None of these

Solution: Explanation:   A = 2B and B = 5C   => A : B = 2:1 and B : C = 5 : 1   => A : B : C = 10 : 5 : 1   Ratio of capitals of A, B and C = 10 : 5 : 1   B's share = Rs.[(5/16) × 32000] = Rs. 10000   Answer: Option Rs. 10000
Answer: C
A wheel has a diameter of x inches and a second wheel has a diameter of y inches. The first wheel covers a distance of d feet in 80 revolutions. How many revolutions does the second wheel make in covering d feet?
Choose the correct option.
A) 80y/x  B) 80x/y  C) 80-x  D) 80-y  E) 80x-y

Solution: A wheel covers 2πr distance in one revolution. where r= diameter/2   First wheel covers d feet in 80 rev. => d= 80* 2π * (x/2)   Second wheel covers d feet in let's say P revolutions; => d = P* 2π * (y/2)   comparing both equations:-   => p= (80∗2π∗x/2)/(2π∗y/2)   => 80x/y   Answer :- 80x/y
Answer: B
On the number line, if x is halfway between -8 and 4, and if y is halfway between -4 and 6, what number is halfway between x and y? Choose one:  A) -1.5  B) -0.5  C) 0.5  D) 1.5  E) 2.5

Solution: x= -2 and y = 1.   The answer is -0.5.
Answer: B
Approximately how many cubic feet of water are needed to fill a circular swimming pool that is 80 feet across and 10 feet deep? Answers:
A) 10000
B) 50000
C) 80000
D) 85000
E) 90000

Solution: Answer Should be B.   V= \pir^2h= \pi*40^2*10= approximately 50000
Answer: B
In a town 65% people watched the news on television , 40% read a newspaper and 25% read a newspaper and watched the news on television also. What percent of the people neither watched the news on television nor read a news paper ? Choose the correct choice:  A) 15  B) 20  C) 25  D) 30  E) 35

Solution: n(a+b) = n(a) + n(b) - n(a*b), here + and * represents OR and AND   so n(a+b) = 65+40-25= 
65+40-25 = 80
80   so 20 % people neither watched TV nor read newspaper   ANSWER:20
Answer: B
In 2010, Arman’s birthday was on a Thursday. What day of the week was it 65 days after his birthday? Choose the most appropriate option:
A) Thursday
B) Friday
C) Saturday
D) Sunday
E) Monday

Solution: Day of week after 65 days after Arman's birthday = 7*9 + 2   Saturday as the period will have 9 weeks and 2 days .   The 2 days in the end will be Friday and Saturday .   Answer Saturday
Answer: C
Find the number of different prime factors of 2400  Choose the most appropriate option:
A) 4  B) 2  C) 3  D) 5  E) 6

Solution: Explanation:   L.C.M of 2400 = 3 x 2 x 2 x 2 x 2 x 2 x 5 x 5   3, 2, 5   Number of different prime factors is 3.   Answer: Option 3
Answer: C
A tap can fill a tank in 4 hours. After half the tank is filled, two more similar taps are opened. What is the total time taken to fill the tank completely? Choose the most appropriate option:
A) 1 hr 20 min
B) 4 hr
C) 3 hr
D) 2 hr 40 min
E) 2 hr 50 min

Solution: Explanation:   1 tap can fill the tank in 4 hours.   Therefore   1 tap can fill half tank in 2 hours.   3 taps can fill the tank in 4/3 hour.   Therefore   3 taps can fill half tank in 4/6 hour =40 minutes.   Total time taken=2 hour 40 minutes   Answer: Option 2 hr 40 min
Answer: D
At a certain conference, 80% of the attendees registered at least
two weeks in advance and paid their conference fee in full. If
10% of the attendees who paid their conference fee in full did
not register at least two weeks in advance, what percent of
conference attendees registered at least two weeks in
advance?
Choose one.
A) 18.0% B) 62.0% C) 79.2% D) 88.89% E) 82.0%

Solution: I do not think that Venn will be helpful here. A table will make more sense. But here is my approach.   80% regestered at least 2 weeks and paid full fee.   10% paid full fee and did not registered at least 2 weeks in advance. Then 90% paid full fee and registered at least 2 weeks before.   90% *X=80% where X is the number of people who registerd 2 weeks in advance and paid full fee. (ANSWER 88.89%)
Answer: D
If -1<x<0, what is the median M of these six numbers listed below
1/x^3,1/x^2, 1/x,x, x^2,x^3 Choose the correct choice from the following choices.
A) 1/x	B) x^2	C) x^2(x+1)/2	D) M=x(x^2+1)/2	E) x^2/2x

Solution: My approach: Put any value between -1 and 0. you will get the answer. lets say 0.5. so the list will be as follows:   -8,-2,-0.5,-0.125 and last two numbers will be positive so need to see that.   median will be between -0.5 and -0.125.   So, (x^3+x)/2 (M=x(x^2+1)/2).
Answer: D
a little girl went to the farm to buy fruits. she bought a bag of apples and grabbed a bag of oranges which was 5 times as heavy as the apples. She brought home a total of 12 pounds of fruits. How many pounds was the oranges?
Options:
A) 5  B) 7  C) 8  D) 10  E) 12

Solution: pounds of apples = x   pounds of oranges = 5x   x + 5x = 12   6x = 12   x = 12/6= 
12/6 = 2
2   oranges= 5x = 5 * 2= 
5 * 2 = 10
10   ANSWER: 10
Answer: D
The smallest 3 digit prime number is  Answers:
A) A)109	B) B)103	C) C)101	D) D)113	E) E)None

Solution: The smallest 3-digit number is 100, which is divisible by 2.   100 is not a prime number.   101 < 11 and 101 is not divisible by any of the prime numbers 2, 3, 5, 7, 11.   101 is a prime number.   Hence 101 is the smallest 3-digit prime number.   101)
Answer: C
A shopkeeper fixes the marked price of an item 30% above its cost price. The percentage of discount allowed to gain 6% is	Choose the correct choice from the following options:  A) 18.45%  B) 18.46%  C) 18.47%  D) 18.48%  E) None of these

Solution: Explanation:   Let the cost price = Rs 100   then, Marked price = Rs 130   Required gain = 6%,   So Selling price = Rs 106   Discount = 130 - 106= 
130 - 106 = 24
24   Discount%= (24/130)*100 = 18.46%   Option 18.46%
Answer: B
Jack can row at 7 kmph and still water. He takes 7/2 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 3 kmph?  Choose the correct choice from the following choices:	A) 12 km	B) 20 km	C) 18 km	D) 14 km	E) 10 km

Solution: Let the distance between A and B be x km.   Total time = x/(7 + 3) + x/(7 - 3) = 7/2   => x/10 + x/4 = 7/2 => (5x + 2x)/20 = 7/2 => x = 10 km.   ANSW10 kmR:10 km
Answer: E
To ‘yield’ is to surrender, submit, and obey someone unconditionally. 'Resist’ which means defy, oppose and refusing to accept is the opposite word.
Choose the correct answer:
A) 22  B) 278  C) 277  D) 99  E) 72

Solution: 22nswer:22
Answer: A
At a recent small town election for mayor a total of 979 votes were cast for the four candidates, the winner exceeding his opponents by 53, 79 and 105 votes, respectively. How many votes were cast for the candidate in fourth place?  Choose one
A) 134 B) 178 C) 199 D) 166 E) 194

Solution: The number of votes the winning candidate received was   979 + 53 + 79 + 105	/4= 304.   The second received 304 – 53 = 251   The fourth place received 304 – 105 = 199.   199
Answer: C
The sum of the squares of three numbers is 125, while the sum of their products taken two at a time is 50. Their sum is:
Choose the correct choice from the following answers:  A) 15  B) 30  C) 40  D) 50  E) None of these

Solution: x^+y^2+z^2=125   xy+yz+zx=50   as we know.. (x+y+z)^2=x^2+y^2+z^2+2(xy+yz+zx)   so (x+y+z)^2=125+(2*50)   (x+y+z)^2=225   so x+y+z=15   15NSWER:15
Answer: A
A sandwich of 6 ingredients is made from 4 types of meat and 8 types of cheese. The sandwich must have at least 1 type of meat and at least 2 types of cheese. How many ways can this plate be made?  Choose the correct option:	A) 896	B) 196	C) 890	D) 300	E) 292

Solution: Solution: We have four possibilities 4M 2C , 3M 3C, 2M 4C, 1M 5C   (4C4)(8C2)+(4C3)(8C3)+(4C2)(8C4)+(4C1)(8C5)=896   896) 896
Answer: A
There are 10 books on a shelf: 5 English books, 5 Spanish books and 2 Portuguese books. What is the probability of choosing 2 books in different languages?  Pick:
A) 1
B) 0
C) 1/3
D) 31/45
E) 28/90

Solution: Probability = Favourable outcome / Total Outcome = 1- (Unfavourable outcome / Total Outcome)   METHOD-1   Favourable Outcomes   Case-1: One book is English (out of 5 English books) and one book is Spanish (out of 5 Spanish books) i.e. 5C1*5C1   Case-2: One book is Spanish (out of 5 Spanish books) and one book is Portuguese (out of 2 Portuguese books) i.e. 5C1*2C1   Case-3: One book is English (out of 5 English books) and one book is Portuguese (out of 2 Portuguese books) i.e. 5C1*2C1   Total favourable Outcomes = 5C1*5C1+5C1*2C1+5C1*2C1 = 25+10+10= 
25+10+10 = 45
45   Total Possible Outcomes= 10C2 = 45   i.e. Probability = 45/45= 
45/45 = 1
1   1
Answer: A
Susan, John, Peter, Jack, Daisy, Tim, Matt and Kim need to be seated in 8 identical chairs in straight line so that Susan is seated always left to Tim. How many such arrangements are possible ? Choose the correct choice
A) 22360  B) 21120  C) 21800  D) 21060  E) 20160

Solution: Total # of arrangement of 8 people is 8!.   In half of the cases Susan will be seated left to Tim and in half of the cases Susan will be seated right to Tim (why should one seating arrangement have more ways to occur than another?).   So, # of arrangements to satisfy the given condition is 8!/2=20160.   Answer: 20160.
Answer: E
39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?  Answers
A) 9	B) 12	C) 10	D) 13	E) 14

Solution: Explanation :   Let the required number of days be x   More persons, less days (indirect proportion)   More hours, less days (indirect proportion)   ⇒ 39 × 5 × 12 = 30 × 6 × x   ⇒ 39 × 5 × 2 = 30 × x   ⇒ 39 = 3 × x   ⇒ x = 13. Answer : Option 13
Answer: D
A survey of employers found that during 1993 employment costs rose 3.5 percent, where employment costs consist of salary costs and fringe-benefit costs. If salary costs rose 3 percent and fringe-benefit costs rose 4.5 percent during 1993, then fringe-benefit costs represented what percent of employment costs at the beginning of 1993 ?
Choose the correct choice from the following options:
A) 16.5%	B) 20%	C) 33%	D) 55%	E) 65%

Solution: The amount by which employment costs rose is equal to 0.035(salary costs + fringe benefit costs);   On the other hand the amount by which employment costs rose is equal to 0.03*salary costs + 0.045*fringe benefit costs;   So, 35(S+F) = 30S+45F --> S = 2F --> F/S = 1/2 --> F/(S+F) = 1/(1+2) = 1/3 = 0.33.   Answer: 33%.
Answer: C
A train speeds past a pole in 25 seconds and a platform 500 m long in 35 seconds. Its length is: Choose the correct choice from the following:
A) 1150 m  B) 2250 m  C) 1450 m  D) 1350 m  E) 1250 m

Solution: Let the length of the train be x meters and its speed be y m/sec.   They, x / y = 25 => y = x/25   x + 500 /35 = x / 25   x = 1250 m.   Answer: Option 1250 m
Answer: E
At what rate of interest p.a, will Rs.5500 be obtained as SI on Rs.25000 for 2yrs 9months? Choose the correct answer.
A) 8%
B) 9%
C) 10%
D) 13%
E) 15%

Solution: Given P= Rs 25000 and   Time period = 2 years 9 months= 2   9   12   =   11   4   years   Simple Interest=   PTR   100   5500 = 25000 X   11   4   X   R   100   R = 8 %   8%)
Answer: A
A certain culture of bacteria quadruples every hour. If a container with these bacteria was half full at 9:00 a.m., at what time was it one-eighth full? Pick:  A) 9:00 a.m.  B) 8:00 a.m.  C) 6:00 a.m.  D) 4:00 a.m.  E) 2:00 a.m.

Solution: To go from one-eighth (1/8) full to half (1/2) full culture of bacteria should quadruple: 1/8*4=1/2, as it quadruples every hour then container was one-eighth full at 9:00 a.m -1 hour = 8:00 a.m.   Answer: 8:00 a.m..
Answer: B
Two pipes A and B can fill a tank in 25 hours and 35 hours respectively. If both the pipes are opened simultaneously, how much time will be taken to fill the tank? Options:
A) 20 hours
B) 14 6/11 hours
C) 10 hours
D) 12 hours
E) 8 hours

Solution: Part filled by A in 1 hour = 1/25   Part filled by 14 6/11 hours in 1 hour = 1/30   Part filled by (A+14 6/11 hours) in 1 hour = 1/25 + 1/30 = 11/150   14 6/11 hoursoth the pipes together fill the tank in 150/11 = 14 6/11 hours   Answer is 14 6/11 hours
Answer: B
For any number Z, Z* is defined as the greatest positive even integer less than or equal to y. What is the value of 6.32 – 6.32*?	Choose the most appropriate option
A) 1.5
B) 0.5
C) 0.32
D) 0.25
E) 6.32

Solution: Since Z* is defined as the greatest positive even integer less than or equal to Z, then 6.32* =6 (the greatest positive even integer less than or equal to 6.32 is 6).   Hence, 6.32 – 6.32* = 6.32 - 6= 
6.32 - 6 = 0.32
0.32   Answer: 0.32.
Answer: C
A shopkeeper sells a transistor at Rs. 840 at a gain of 20% and another for Rs. 960 at the loss of 4%. Find his total gain percent.
Choose one:
A) 5 12/17%
B) 5 13/17%
C) 5 14/17%
D) 5 15/17%
E) 5 16/17%

Solution: Explanation:   In this type of question, we will first find total C.P. of items, then total S.P. of items, then we will get gain or loss. From which we can easily calculate its percentage.   So lets solve it now.   So, C.P. of 1st transistor = (100/120∗840)=700   C.P. of 2nd transistor = (100/96∗960)=   1000Total C.P. = 1700   Total S.P. = 1800   Gain = 1800 - 1700= 
1800 - 1700 = 100
100   Gain%= (100/1700∗100)=5 15/17%   Option 5 15/17%
Answer: D
A boat running downstream covers a distance of 16 km in 2 hours while for covering the same distance upstream, it takes 4 hours. What is the speed of the boat in still water?
Choose the correct answer: A) 4 km/hr B) 6 km/hr C) 8 km/hr D) Data inadequate E) None

Solution: Solution   Rate Downstream	= (16 / 2)= 
(16 / 2) = 8
8 kmph   Rate upstream=(16 / 4)= 
(16 / 4) = 4
4 kmph.   Speed in still water= 1 / 2 (8 + 4)kmph   = 1/2 x 12   = 6 kmph.   Answer 6 km/hr
Answer: B
Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm?  Choose one:	A) 277 cm2	B) 287 cm2	C) 285 cm2	D) 262 cm2	E) 937 cm2

Solution: Area of a trapezium = 1/2 (sum of parallel sides) * (perpendicular distance between them)   = 1/2 (20 + 18) * (15)   = 285 cm2   Answer: 285 cm2
Answer: C
Car A runs at the speed of 35 km/hr & reaches its destination in 9hr. Car B runs at the speed of 43 km/h & reaches its destination in 10h. What is the respective ratio of distances covered by Car A & Car B?  Pick:
A) 65 :69  B) 56 : 45  C) 89 : 71  D) 68 : 23  E) 63 : 86

Solution: Sol. Distance travelled by Car A = 35 × 9 = 315 km   Distance travelled by Car B = 43 × 10 = 430 km   Ratio = 315/430 = 63 : 86   63 : 86
Answer: E
In a kilometer race, X beats Y by 50 meters or 10 seconds. What time does X take to complete the race?
Choices.
A) 190 sec.	B) 176 sec.	C) 154 sec.	D) 120 sec.	E) 170 sec.

Solution: A   190 sec.   Time taken by Y run 1000 meters = (1000 * 10)/50= 
(1000 * 10)/50 = 200
200 sec.   Time taken by X= 200 - 10= 
200 - 10 = 190
190 sec.
Answer: A
A number x is multiplied by 5, and this product is then divided by 7. If the positive square root of the result of these two operations equals x, what is the value of x if x≠0 ?
Choose the correct answer.
A) 25/9  B) 9/5  C) 5/7  D) 3/5  E) 9/25

Solution: sqrt(5x/7) to be perfect square x has to 5/7   Ans: 5/7
Answer: C
if 12 men working 2 hours a day take 10 days to complete a job, how long will 8 men working 6 hours a day take to do the same work?  Choices: A) 3 B) 4 C) 5 D) 6 E) 7

Solution: 12 men working 2 hours in a day means,   = 12 * 2= 
12 * 2 = 24
24hours of work complete in 1day.   Therefore for 10 days,= 10 *24= 
10 *24 = 240
240hours of work done by 12men.   8 men working for 6hours in a day means,= 8 *6= 
8 *6 = 48
48hours of work is completed in 1 day.   Therefore,= 240/48= 
240/48 = 5
5days take to work by 8 men for 6hours in a day.   ANSWER:5
Answer: C
A, B and C started a business with a total investment of Rs. 90000. A invests Rs. 6000 more than B and B invests Rs. 3000 less than C. If the total profit at the end of a year is Rs. 8640, Find B's share.
Choose the correct choice from the following:
A) Rs. 2592
B) Rs. 2520
C) Rs. 2880
D) Rs. 3360
E) None of these

Solution: Explanation:   Let C's investment = Rs. x   B's investment = Rs. (x - 3000)   A's investment = Rs. (x - 3000 + 6000) = Rs. (x + 3000)   Now, (A + B + C)'s investment = Rs. 90000   => x + (x - 3000) + (x + 3000) = 90000   => 3x = 90000   => x = 30000   Hence, A's investment = Rs. 33000   B's investment = Rs. 27000   C's investment = Rs. 30000   Ratio of the capitals of A, B and C   = 33000 : 27000 : 30000   = 11 : 9 : 10   A's share = Rs. [(9/30) Ã— 8640] = Rs. 2592   Rs. 2592nswer: Option Rs. 2592
Answer: A
Month	Average Price
per Dozen
April $1.2
May $1.20
June $3.00
The table above shows the average (arithmetic mean) price per dozen of the large grade A eggs sold in a certain store during three successive months. If 2/3 as many dozen were sold in April as in May, and twice as many were sold in June as in April, what was the average price per dozen of the eggs sold over the three-month period?	Choose the correct choice from the following answers
A) 1.8
B) 2.2
C) 2
D) 1.9
E) 2.4

Solution: Say x dozen eggs were sold in May.   Then 2x/3 dozen eggs were sold in April and 2*2x/3=4x/3 dozen eggs were sold in May.   Total x+2x/3+4x/3=3x dozen eggs were sold in three months.   Total sales: 2x/3*1.2+x*1.2+4x/3*3.00=$6.00x. The average price per dozen 6.00x/3x=$ 2.00   2  6.00 /3= 
  6.00 /3 = 2
$ 2.00   2
Answer: C
789.009 - ? + 56.84 = 215.943 Pick.
A) 899.015	B) 752.804	C) 714.642	D) 629.906	E) None of these

Solution: Explanation:   629.906   Answer: Option 629.906
Answer: D
The price of a T.V. set worth Rs. 20000 is to be paid in 20 installments of Rs. 1000 each. If the rate of interest be 6% per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be?
Pick one:
A) 19009
B) 19074
C) 19008
D) 19000
E) 19002

Solution: Explanation:   Money paid in cash = Rs. 1000   Balance payment = (20000 - 1000) = Rs. 19000   Answer: Option 19000
Answer: D
I. p-14, p, p, p, p+14
II. b, b+1, b+2, b+3, b+4
III. c, c, c, c, c
The data sets I, II, and III above are ordered from greatest standard deviation to least standard deviation in which of the following?	Choose the correct choice from the following:
A) I, II, III  B) I, III, II  C) II, III, I  D) III, I, II  E) III, II, I

Solution: S.D is a non-negative entity. Also, for a given set with all the elements same, the S.D is Zero(It is zero even if there is only one element in the set too). From the given sets, we can see that the last set has a standard deviation of zero. Also, because the other sets can not have all the terms equal for any values of p or b, thus the S.D for the third set(III) has to be the minimum. Select the option which has III in the end.   I, II, III.
Answer: A