MU-NLPC/Calc-aqua_rat huggingface dataset:
The sum of the present ages of a father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 8 years, son's age will be:	Choose the correct choice from the following options.
A) 12 years
B) 14 years
C) 18 years
D) 20 years
E) 22 years

Solution: Explanation:   Let the present ages of son and father be x and (60 -x) years respectively.   Then, (60 - x) - 6 = 5(x - 6)   54 - x = 5x - 30   6x = 84   x = 14.   Son's age after 8 years = (x+ 8) = 22 years..   Answer: 22 years
Answer: E
Prints a page 40 pg per min .If the printed for 2 hours except 20 min.Where there
was an paper jam,how many page did it print  Choose the correct choice from the following answers
A) 4,000 B) 12,880 C) 14,880 D) 8,880 E) 18,880

Solution: 40 pages ------->1 min   2 hrs except 20 mints means=2*60= 
2*60 = 120
120-20= 
120-20 = 100
100 mints   i.e.,100*40=4,000 pages printed.   4,000NSWER:4,000
Answer: A
A basketball coach will select the members of a five-player team from among 15 players, including John and Peter. If the five players are chosen at random, what is the probability that the coach chooses a team that includes both John and Peter? Choose the correct option:
A) 1/9
B) 1/6
C) 2/21
D) 5/18
E) 1/3

Solution: straight forward way is to group J and P as always present on the team and as order does not matter so we just need to find the total number of ways to select rest three players = 13c3   total number of ways of selecting 5 players out of 15 = 15c5   probability = 13c3/15c5 = 2/21   2/21
Answer: C
At a certain supplier, a machine of type A costs $24,000 and a machine of type B costs $50,000. Each machine can be purchased by making a 20 percent down payment and repaying the remainder of the cost and the finance charges over a period of time. If the finance charges are equal to 40 percent of the remainder of the cost, how much less would 2 machines of type A cost than 1 machine of type B under this arrangement? Choose the correct choice:  A) $2,640  B) $11,200  C) $12,000  D) $12,800  E) $13,200

Solution: Total Cost of 2 Machines of Type $2,640   = 20% of (Cost of 2 machine $2,640) + remainder + 40 % remainder   = 20% of 48000 + (48000 - 20% of 48000) + 40% of (48000 - 20% of 48000)   = 63360   Total Cost of 1 Machine of Type B   = 20% of (Cost of 1 machine B) + remainder + 40 % remainder   = 20% of 50000 + (50000 - 20% of 50000) + 40% of (50000 - 20% of 50000)   = 66000   Diff = 66000 - 63360= 
66000 - 63360 = 2_640
2640   Hence, $2,640.
Answer: A
From the money that Ajay has, he gives as much to Bunti as much as Bunt i has
with him. Bunti then dives as much money to Chintu as much as Chintu has with
him. Finally Chintu gives as much money to Ajay as much as Ajay had before
Chintu gave home the money. How much money did each of the three friends
Ajay, Bunti, and Chintu have with them initially if between them they have totally
Rs 48 and after the transactions each of them have equal amounts?	Choose the correct choice from the following answers:
A) Rs. 22,14,12
B) Rs. 22,14,14
C) Rs. 24,14,12
D) Rs. 22,16,12
E) Rs. 27,14,12

Solution: As they have total Rs 48, each one will have Rs 16 after these transactions.   Finally amounts with ABC are 16,16,16   One step earlier, amounts were 8,16,24   One step before that, amounts were 8,28,12   Initially they had Rs. 22,14,12   Rs. 22,14,12NSWER:Rs. 22,14,12
Answer: A
In the coordinate plane, points (x, 2) and (4, y) are on line k. If line k passes through the origin and has slope 1/4, then x - y =  Choose the correct choice from the following answers.
A) 6
B) 7
C) 8
D) 9
E) 10

Solution: Line k passes through the origin and has slope 1/4 means that its equation is y=1/4*x.   Thus: (x, 2)=(8, 2) and (4, y) = (4,1) --> x-y=8-1= 
8-1 = 7
7.   Answer: 7
Answer: B
When the oil from a circular cylinder leaked, the formula for the speed of the leak is V = kh^2, where h was the height of the remaining oil and k was constant. If the height of the cylinder is 3, the speed of the leak is Vâ€™, When the height of the oil remaining is 9, what was the speed of the leak, in terms of Vâ€™?
Choices:  A) 9Vâ€™  B) 4Vâ€™  C) Vâ€™/2  D) Vâ€™/4  E) Vâ€™

Solution: When h=3 v=V'   So V' = k.9   Hence k = V'/9   Now when h=9   v=(V'/9).9^2   v=V'.9   v=9V'   9Vâ€™ns : 9Vâ€™
Answer: A
What is the sum of all 3 digit nos formed by {1,3,5,7,9} with nos not repeated
Pick
A) 33300
B) 34500
C) 38500
D) 39800
E) 45200

Solution: Here 3 digit no. Can be formed in 5*4*3= 
5*4*3 = 60
60. Thus we hv to find the sum of 60 nos.   Now  60/5= 
 60/5 = 12
12 ; we hv 12 no's. starting with 1 ,12 no's. with 3,5,7,9....   So 12*100*(1+3+5+7+9)+12*10*(1+3+5+7+9)+12*1*(1+3+5+7+9)=30000+3000+300= 
30000+3000+300 = 33_300
33300   33300NSWER:33300
Answer: A
Four business people wish to invest in a new company. Each person is willing to pay one fourth of the total investment. After careful calculations, they realize that each of them would pay $6,200 less if they could find two more equal investors. How much is the total investment in the new business?
Choose the most appropriate option
A) $74,400
B) $62,200
C) $25,000
D) $ 6,200
E) $ 4,300

Solution: Total Investment between 6: (x/6)   Total investment including 6200 less between 4 people(x-(6200*4))/4   Set both eq. equal to each other.   74,400   $74,400nswer $74,400)
Answer: A
For integers x and y, if 91x = 8y, which of the following must be true?
I. y > x
II. x is not a integer
III. The cube root of x is not an integer
Choose one:
A) I only
B) II only
C) III only
D) I and II
E) None of these

Solution: Statement 1: y>x   When y=x=0, equation holds but y is not greater than x   When x=-8 and y=-91, equation again holds but x>y   NOT TRUE   Statement 2: y/7 is an integer   Since x and y are integers, 91x and 8y must also be integers.   It is given that 91x=8y   or 13*7*x = 8 y   or 13x = 8y/7   To balance the equation, x must be an integer   NOT TRUE   Statement 3: The cube root of x is an integer   x can be equal to 2*2*2*3 and for this value of x,y will be 13*7*3   So, x may or may not be a cube root.   NOT TRUNone of these   Answer:-None of these
Answer: E
In a car dealership, they buy cars for Rs.320000 and takes a profit of Rs. 25000. What is the % of profit dealership is making per car?
Choose the correct choice from the following
A) 9.4%
B) 11.6%
C) 7.8%
D) 10.2%
E) 6.6%

Solution: The profit % per car=(25000/320000)*100=7.8%   Answer:7.8%
Answer: C
In a recent election, Geoff received 0.5 percent of the 6,000 votes cast. To win the election, a candidate needed to receive more than x% of the vote. If Geoff needed exactly 3,571 more votes to win the election, what is the value of x ? Choose the correct choice from the following choices.
A) 50
B) 54
C) 56
D) 60
E) 63

Solution: We are told that a candidate needs to receive more than x% of the vote.   We got that a candidate needs to receive more than 3,600 votes (3,601).   3,600 is 60% of total votes. Thus x=60%.   ANSWER:60
Answer: D
The area of the largest triangle that can be inscribed in a semicircle pf rasius r Cm, is:  Pick
A) r(power)3 Cm(power)2 B) r(power)2 Cm(power)3 C) r(power)3 Cm(power)3 D) r(power)2 Cm(power)2 E) None of them

Solution: Area of the largest triangle = (1/2 × 2r × r) Cm(power)2   = r(power)2 Cm(power)2   Answer is r(power)2 Cm(power)2.
Answer: D
In a recent head-to-head run-off election, 15,000 absentee ballets were cast. 1/5 of the absentee ballets were thrown out and 1/4 of the remaining absentee ballets were cast for Candidate A. How many absentee votes did Candidate B receive?
Choose the correct answer:
A) 2,000
B) 3,000
C) 6,000
D) 8,000
E) 9,000

Solution: 4/5 * 3/4 (total absentee votes) = 3/5 (total votes)=3/5*15000= 
3/5*15000 = 9_000
9000   Answer is 9,000
Answer: E
Find the 25% of Rs. 500.	Choose the correct option:
A) s. 50
B) s. 70
C) s. 100
D) s. 125
E) s. 60

Solution: Explanation :   25% of 500   => 25/100 *500 = Rs. 125   Answer : s. 125
Answer: D
P, Q and R can do a work in 20, 30 and 60 days respectively. How many days does it need to complete the work if P does the work and he is assisted by Q and R on every third day? Choose the correct option:	A) 10 days	B) 14 days	C) 15 days	D) 9 days	E) 7 days

Solution: Explanation :   Amount of work P can do in 1 day = 1/20   Amount of work Q can do in 1 day = 1/30   Amount of work R can do in 1 day = 1/60   P is working alone and every third day Q and R is helping him   Work completed in every three days = 2 × (1/20) + (1/20 + 1/30 + 1/60) = 1/5   So work completed in 15 days = 5 × 1/5 = 1   Ie, the work will be done in 15 days   ANSWER IS 15 days
Answer: C
A tap can fill a tank in 6 hours. After half the tank is filled three more similar taps are opened. What is the total time taken to fill the tank completely?  Pick.
A) 3hrs25 min	B) 3hrs45 min	C) 3hrs75 min	D) 3hrs49 min	E) 3hrs25 min

Solution: Time taken by one tap to fill the tank = 3 hrs.   Part filled by the taps in 1 hour = 4 * 1/6 = 2/3   Remaining part = 1 - 1/2 = 1/2   2/3 : 1/2 :: 1 : x   x = 1/2 * 1 * 3/2 = 3/4 hrs. i.e., 45 min   So, total time taken = 3 hrs 45 min.   Answer: 3hrs45 min
Answer: B
A can do a piece of work in 90 days & Y can do it in 80 days. They began working together but A leaves after some days and then B completed the remaining work in 46 days. The number of days after which A left the work was? Choose the correct choice from the following answers.
A) 10 days	B) 12 days	C) 16 days	D) 18 days	E) 20 days

Solution: A and B did the work for some days.   After that , B completed the remaining work in 46 days .   In 46 days, word done by B =   1   80   x 46 =   23   45   Remaining work = 1 – 23/45   = 17/45   Remaining work is done by both A and B together =   17/45x 90 x 80/90 + 80   = 16 days   16 days
Answer: C
The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
Pick one:	A) 38 cm2	B) 85 cm2	C) 65 cm2	D) 45 cm2	E) 35 cm2

Solution: Area of a triangle = r * s   Where r is the inradius and s is the semi perimeter of the triangle.   Area of triangle = 2.5 * 28/2= 
2.5 * 28/2 = 35
35 cm2   Answer:35 cm2
Answer: E
P is four times as fast as Q and working together, they can complete a work in 15 days. In how many days can Q alone complete the work?  Choose the correct choice from the following answers.
A) 5 1/4 days B) 8 3/4 days C) 16 1/4 days D) 25 days E) 18 days

Solution: P = 4Q   P + Q = 4Q + Q = 5Q   These 5Q people can do the work in 15 days, which means Q can do the work in 75 days.   Hence, P can do the work in 18 3/4 days.   ANSWER:8 3/4 days
Answer: B
A certain experimental mathematics program was tried out in 2 classes in each of 26 elementary schools and involved 32 teachers. Each of the classes had 1 teacher and each of the teachers taught at least 1, but not more than 3, of the classes. If the number of teachers who taught 3 classes is n, then the least and greatest possible values of n, respectively, are Select the correct option:	A) 0 and 13	B) 0 and 14	C) 1 and 10	D) 1 and 9	E) 2 and 8

Solution: One may notice that greatest possible values differ in each answer choice in contrast to the least values, which repeat.   To find out the greatest value you should count the total classes (26*2=52), then subtract the total #of teachers since we know from the question that each teacher taught at least one class (52-32=20). Thus we get a number of the available extra-classes for teachers, and all that we need is just to count how many teachers could take 2 more classes, which is  20/2= 
 20/2 = 10
10. So the greatest possible value of the # of teachers who had 3 classes is 10.   Only answer 1 and 10 has this option.
Answer: C
In a sequence, each term is obtained by adding 6 to the preceding one. If the sum of the first 10 terms is equal to 100, what is the result of the addition of the first 30 terms?
Choose the correct choice from the following:
A) 2100 B) 2170 C) 2200 D) 2250 E) 2400

Solution: a is first term and d = 6 since the preceding number is always greater than the previous one..   Now 10th term is a+9(6).   Sum of n terms is n/2(first term + last term)and here we have to get sum of 10 terms , we get 10/2 ( a + a+54) = 100 ( given sum of 10 terms is 100)   => 5(2a+54) = 100   => 2a+54 = 20   => a = -17   Now to get sum of first 30 terms , we need to get 30th term value i.e. -17+29(6) = 157.   Sum of first 30 terms = 30/2( -17 + 157) = 2100.   Hence option 2100 is correct answer..
Answer: A
If each data point in a certain set Q is increased by a factor of 5, what happens with the set's standard deviation? Pick one:
A) Doesn't Change
B) Decreases by Factor 5
C) Increases by Factor 5
D) Increases by 5
E) Can't be determined

Solution: Standard deviation questions will always be conceptual in nature, because the GMAT does not require that you be able to calculate standard deviation.Veritasteaches a concept known as themapping strategyfor data sufficiency, which helps make a problem like this easily understandable. The mapping strategy is just looking at data sufficiency with sets of numbers like you would look at a map. Moving left and right on the map does not change the map's scale (which represents standard deviation in this analogy), just as adding or subtracting the same value in all numbers of a set does not change that set's standard deviation. For example, the set: 2, 5, 8, 11 has the same standard deviation of that same set after adding 5 to each number: 7, 10, 13, 16. Multiplying and dividing the entire set by a number other than 1, however, does affect standard deviation, and it does so proportionately. Multiplying by a number with an absolute value greater than 1 is like zooming in on a map...the standard deviation increases. Consider that same set multiplied by 2: 4, 10, 16, 22....this has a larger standard deviation than 2, 5, 8, 11. The opposite goes for division - dividing each number in a set of numbers by a number with an absolute value greater than 1 will reduce standard deviation, like zooming out on a map reduces the map's scale. Here because each number was multiplied by a factor of 5, the standard deviation will increase proportionately, giving us answer choice Increases by Factor 5.
Answer: C
A, B, C, D and E are 5 consecutive points on a straight line. If BC = 2CD, DE = 7, AB = 5 and AC = 11, what is the length of AE?
Choose the correct choice from the following: A) 19 B) 21 C) 23 D) 25 E) 27

Solution: AC = 11 and AB = 5, so BC = 6.   BC = 2CD so CD = 3.   The length of AE is A21+21C+CD+DE = 5+6+3+7= 
5+6+3+7 = 21
21   The answer is 21.
Answer: B
Find the sum lend at C.I. at 5 p.c per annum will amount to Rs.500 in 2 years?
Choose the correct choice from the following choices.
A) 221 B) 287 C) 453 D) 288 E) 171

Solution: Explanation:   500 = P(21/20)2   P = 453.51   Answer:453
Answer: C
Ratio between Rahul and Deepak is 4:3, After 4 Years Rahul age will be 32 years. What is Deepak present age.	Choose the most appropriate option:
A) 14 B) 15 C) 20 D) 21 E) 24

Solution: Explanation:   Present age is 4x and 3x,   => 4x + 4 = 32 => x = 7   So 21eepak age is = 3(7) = 21   Option 21
Answer: D
The length of a train and that of a platform are equal. If with a speed of 54 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is? Choose the correct choice:
A) 757
B) 450
C) 718
D) 750
E) 738

Solution: Speed = [54 * 5/18] m/sec = 15 m/sec; Time = 1 min. = 60 sec.   Let the length of the train and that of the platform be x meters.   Then, 2x/60 = 15 è x = 15 * 60 / 2= 
15 * 60 / 2 = 450
450   Answer:450
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 choice from the following answers:  A) Rs.250  B) Rs.277  C) Rs.297  D) Rs.277  E) Rs.299

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
There are 15 teams in a soccer league and each team plays each of the other teams once. How many games will be played in total?
Choose one:
A) 105
B) 110
C) 115
D) 120
E) 125

Solution: 15C2=105   The answer is 105.
Answer: A
If a,b are positive integers and a/b=80.75 which of the following could be the value of b?
Choices.
A) 1. 25
B) 2. 26
C) 3. 27
D) 4. 24
E) 5. 30

Solution: Given a/b = 87.75.   this is 80 and 3/4 = 323/4   Since a and b are integers we know that whatever is the value of b, it must be divisible by 4 completely(to make a an integer)   from the options only D=24 is a multiple of 4 which is your answer.   Ans :4. 24
Answer: D
In how many ways can the letters of word "EDUCATION" be arranged such that all the vowels as well as all the Consonants always appear together?
Choose the correct choice from the following
A) 9! B) 5!*4! C) 5!*5! D) 5!*4!*2! E) 6!*4!

Solution: Since all the vowels and consonants have to be together there can only be there are 5! way to order the vowels and 4! to order the consonants. But they must be together either vowels come first or consonants so you multiply by 2.   So 5!4!2! (5!*4!*2!)
Answer: D
How much is 80% of 40 is greater than 4/5 of 20?	Choices:  A) 12  B) 27  C) 18  D) 16  E) 81

Solution: (80/100) * 40 â€“ (4/5) * 20   32 - 16= 
32 - 16 = 16
16   Answer:16
Answer: D
In a group of 89 students, 36 are taking History, and 32 are taking Statistics. If 59 students are taking History or Statistics or both, then how many students are taking History but not Statistics?  Choose the correct choice:
A) 9
B) 19
C) 27
D) 26
E) 31

Solution: Number of students taking history =H=36   Number of students taking statistics =S= 32   Total number of students =T= 89   Number of students taking History or Statistics or both =B= 59   Number of students taking neither history nor statistics =N= 89-59= 
89-59 = 30
30   LetXbe the number of students taking both history and statistics.   Then   T= H + S + N - X   or 89 = 36 + 32 +30 - X   or X = 9   Now,   Number of students taking only history will be   H-X   or  36-9= 
 36-9 = 27
27   Answer:- 27
Answer: C
What is the area of an obtuse angled triangle whose two sides are 8 and 12 and the angle included between the two sides is 150o?  Answers:  A) 24 sq units  B) 48 sq units  C) 24 under root 3  D) 48 under root 3  E) Such a triangle does not exist

Solution: Explanatory Answer   If two sides of a triangle and the included angle 'y' is known, then the area of the triangle = 1/2 * (Product of sides) * sin y   Substituting the values in the formula, we get 1/2 * 8 * 12 * sin 150o   = 1/2 * 8 * 12 * 1/2.   Note: Sin 150o = 1/2   Area = 24 sq units.   Choice 24 sq units
Answer: A
Several people are sitting around a round table playing a card game with a deck of 49 cards. Each person is dealt one card per deal, and the cards are dealt in a clockwise fashion. If Martin is dealt both the first card of the deck and the last card of the deck, which of the following could be the total number of people sitting at the table? Select the correct option:  A) 4  B) 5  C) 7  D) 11  E) 13

Solution: Let n be the number of people at the table.   If Martin gets the first and the last card, it means Martin got one more card than the others.   Thus 49/n has a remainder of 1 and so   49-1= 
  49-1 = 48
48 is a multiple of n.   The answer is 4.
Answer: A
At what time between 2 and 3 o'clock will the hands of a clock be together?	Answers.
A) 120/11 min. past 3
B) 120/11 min. past 2
C) 120/11 min. past 1
D) 120/11 min. past 5
E) 120/11 min. past 4

Solution: At 2 o'clock, the hour hand is at 2 and the minute hand is at 12, i.e. they are 10 min spaces apart.   To be together, the minute hand must gain 10 minutes over the hour hand.   Now, 55 minutes are gained by it in 60 min.   10 minutes will be gained in (60 x 10)/55 min. = 120/11 min.   The hands will coincide at 120/11 min. past 2.   Answer is 120/11 min. past 2.
Answer: B
Two pipes can fill the cistern in 10hr and 12 hr respectively, while the third empty it in 30hr. If all pipes are opened simultaneously, then the cistern will be filled in  Choose the correct choice from the following answers:
A) 6.67 hr  B) 8 hr  C) 8.5 hr  D) 10 hr  E) None of these

Solution: Solution:   Work done by all the tanks working together in 1 hour.   1/10+1/12−1/30=3/20   Hence, tank will be filled in 20/3=6.67 hour   Option(6.67 hr)
Answer: A
Today is Monday. After 51 days, it will be :  Select.
A) Thursday	B) Saturday	C) Monday	D) Sunday	E) Wednesday

Solution: Each day of the week is repeated after 7 days.   So, after 49 days, it will be Monday.   After 51 days, it will be Wednesday   Answer is Wednesday
Answer: E
In the quiet town ofNothintodothere are 700 inhabitants, 400 are unemployed and 300 are somnambulists. If half of the somnambulists are unemployed, how many are employed and are not somnambulists?	Choose the correct choice from the following
A) 50.
B) 100.
C) 150.
D) 200.
E) 300.

Solution: Total = 700   unemployed=400   employed=700-400= 
700-400 = 300
300   som=300   unemployed som = 300/2= 
300/2 = 150
150   employed som= 150   employed that are not som = 300-150= 
300-150 = 150
150   Answer : 150.
Answer: C
9 friends went to a super market, and everyone decided to contribute equally to the total bill of $900. If one of the friends had a coupon for 10% off the total bill, and if each friend still contributed equally after the coupon was applied to the bill, how much did each friend pay? Choose the most appropriate option.
A) 30  B) 60  C) 80  D) 90  E) 95

Solution: At the non-discounted price, each friend would pay $100, as $900 divided by 9 friends is $100 per friend. But if the bill is 10% off, then each friend would pay 10% less. 10% of $100 is $10, so each friend saves $10 and pays the remaining $90   CORRECT OPTION:OPTION 90
Answer: D
In a certain apartment building, there are one-bedroom and two-bedroom apartments. The rental prices of the apartment depend on a number of factors, but on average, two-bedroom apartments have higher rental prices than do one-bedroom apartments. Let M be the average rental price for all apartments in the building. If M is $2,000 higher than the average rental price for all one-bedroom apartments, and if the average rental price for all two-bedroom apartments is $8,000 higher that M, then what percentage of apartments in the building are two-bedroom apartments?	Choose the correct choice from the following options:
A) 20%  B) 25%  C) 50%  D) 60%  E) 27%

Solution: Ratio of 2 Bedroom Apartment: 1 Bedroom Apartment = 2000 : 8000 -----> 1 : 4   Let total number of Apartments be X   No. of 2 Bedroom 20%partment = (1 / 5) * X   percentage of apartments in the building are two-bedroom apartments ---->   (1/5) * 100 ---> 20%   20%nswer : 20%
Answer: A
What is the minimum percentage increase in the mean of set D {-4, -1, 0, 6, 9} if its two smallest elements are replaced with two different primes? Choose the correct choice.
A) 25%	B) 50%	C) 75%	D) 100%	E) 200%

Solution: Mean of D is (-4-1+0+6+9)/5= 
(-4-1+0+6+9)/5 = 2
2;   In order the increase to be minimal we should replace two smallest elements of D, which are -4 and -1, with two smallest primes, which are 2 and 3. Hence our new set will be {2, 3, 0, 6, 9} --> new mean is   (2+3+0+6+9)/5= 
  (2+3+0+6+9)/5 = 4
4.   Percent increase=(4-2)/2*100= 
(4-2)/2*100 = 100
100%.   Answer: 100%.
Answer: D
A five feet long staff casts a shadow 2 feet long. Can you find the height of a steeple whose shadow at the same hour, is 120 ft. long?	Choose the correct choice
A) 200 feet
B) 220 feet
C) 510 feet
D) 400 feet
E) 700 feet

Solution: 200 feet   200 feet
Answer: A
Nine men went to a hotel. Eight of them spent Rs.3 each over their meals and the ninth spent Rs.2 more than the average expenditure of all the nine. Determine the total money spent by them? Choices.
A) 29.25	B) 29.28	C) 29.29	D) 29.12	E) 29.19

Solution: 29.25verage of 9 = x   9x = 8 * 3 + x * 2 x = 3.25   Total = 9 * 3.25= 
9 * 3.25 = 29.25
29.25   29.25nswer:29.25
Answer: A