MU-NLPC/Calc-aqua_rat huggingface dataset:
In six successive games, a baseball team scored 3 runs once, 6 runs twice, and 7 runs three times.
What was the average (arithmetic mean) number of runs the team scored per game over the six-game period?	Select the correct option
A) 8 B) 7 C) 6 D) 5 E) 4

Solution: 3 runs once (one game)   6 runs twice (two game)   7 runs three times (three games)   SO we have (3*1 + 6*2 + 7*3)/6 = 36/6= 
36/6 = 6
6.   ANS: 6.
Answer: C
If the cost price of 50 articles is equal to the selling price of 40 articles, then the gain or loss percent is?
Choose the correct choice from the following options.
A) 28%	B) 65%	C) 23%	D) 78%	E) 25%

Solution: Given that, cost price of 50 article is equal to selling price of 40 articles.   Let cost price of one article = Rs. 1   Selling price of 40 articles = Rs. 50   But Cost price of 40 articles = Rs. 40   Therefore, the trader made profit.\Percentage of profit = 10/40 * 100= 
10/40 * 100 = 25
25%   Answer: 25%
Answer: E
I purchases perfume from a store and gave him a thousand rupee note.
The perfume cost Rs.300.
Since the store person have no change, he gets the change from next shop and return me 800 rupees.
After a while, the next shopkeeper comes and told the 1st shopkeeper that the note is a fraud and takes his money back.
How much loss does the 1st shopkeeper have to bear ?  Answers
A) 4400 B) 1300 C) 1800 D) 2500 E) 1000

Solution: 1000   Rupees 1000
Answer: E
If x+y=300, x-y=200, for integers of x and y, y=? Pick:  A) 200  B) 250  C) 50  D) 115  E) 150

Solution: x+y = 300   x-y = 200   2x = 100   x = 50   y = 250   Answer is 250
Answer: B
The sale price sarees listed for Rs.550 after successive discount is 18% and 12% is? Pick
A) 298
B) 237
C) 342
D) 396
E) 291

Solution: 550*(88/100)*(82/100)   = 396   Answer: 396
Answer: D
In a school 10% of the boys are same in number as 1/6th of the girls. what is the ratio of boys to the girls in the school?  Choose the correct choice from the following answers: A) 5:3 B) 2:3 C) 1:4 D) 3:7 E) 2:5

Solution: 10% of B = 1/6 G   10B/100 = G/6   B = 5G/3   B/G = 5/3   B:G = 5:3   5:3nswer is 5:3
Answer: A
A taxi charges u dollars for the first two miles and c cents per quarter mile for every mile after the first two. Which equation describes cost of a taxi ride of n miles in dollars. Choose the correct answer: A) un – c/8(100) B) cu + 4n-8/200 C) u + (4cn-8c)/100 D) u + 100cn/4 E) 4cu(n-2) – 100

Solution: This is about as complicated as these types of problems come, but it is essentially the same as any problem which has an initial cost which is added to a dependent additional cost. Looking at the problem, we notice that the cost u is added to the mile dependent cost, which is some combination of the other terms listed in the problem. With just that knowledge we can eliminate all but two of the answer choices! Choices (A), (B), and (E) either do some strange calculation with the initial cost u, or subtract the additional cost from u. Both of these circumstances would be next to impossible if there is an initial cost being added to another cost. Thus, we only have to choose between choice (C) and choice (D). We can easily find the right answer by plugging in real numbers and checking which choice yields a correct answer. We can also see that answer choice (D) seems to be multiplying the cost in cents by 100, which, if the trip was 6 miles and the charge per mile was 25 cents, would make the taxi cost an additional $3750! This seems impossible, and leaves only the correct answer choice, (u + (4cn-8c)/100).
Answer: C
If the selling price of 10 articles is same as the cost price of 12 articles. Find the gain or loss percentage?  Pick one:
A) 10% B) 20% C) 30% D) 32% E) None

Solution: Let the C.P of each article be Re 1. Then,   S.P of 10 articles = C.P of 12 articles = Rs. 12   Now, C.P of 10 articles = Rs. 10, S.p of 10 articles = Rs 12   Gain = Rs ( 12 - 10 )= 
( 12 - 10 ) = 2
Rs 2.   Gain%= ( 2/10 × 100 ) % = 20%   20%)
Answer: B
Three numbers are in the ratio 2 : 3 : 7. The sum of its longest and smallest numbers equals the sum of the third number and 48. Find the third number?	Options
A) A)24
B) B)75
C) C)48
D) D)46
E) E)63

Solution: Let the numbers be 2x, 3x, 7x.   Largest number = 7x.   Smallest number = 3x.   Third number = 6x.   7x + 2x = 3x + 48   6x = 48 =>x=8   3x=24=> third number is 24.   24nswer:24
Answer: A
A money lender finds that due to a fall in the annual rate of interest from 8% to 7 2/7 % his yearly income diminishes by Rs.61.50. his capital is
Choose the correct choice from the following choices:
A) 22.378  B) 87.86  C) 246.0  D) 78.88  E) 127.71

Solution: Explanation:   Capital = Rs.x , then   5/7x = 61.5   x = 87.86   Answer: 87.86) Rs.87.86
Answer: B
Find the least number of five digits which is exactly divisible by 12, 15 and 18?	Select
A) 1080  B) 10080  C) 10025  D) 11080  E) 12080

Solution: LCM = 180   180) 10000 (55   9900   ---------   100   10000 + 180 - 100= 
10000 + 180 - 100 = 10_080
10080   ANSWER:10080
Answer: B
For any integer n greater than 1, n* denotes the product of all the integers from 1 to n, inclusive. How many prime numbers W are there between 6* + 2 and 6* + 6, inclusive?  Select the correct option:
A) None	B) One	C) Two	D) Three	E) Four

Solution: Given that n* denotes the product of all the integers from 1 to n, inclusive so, 6*+2=6!+2 and 6*+6=6!+6.   Now, notice that we can factor out 2 our of 6!+2 so it cannot be a prime number, we can factor out 3 our of 6!+3 so it cannot be a prime number, we can factor out 4 our of 6!+4 so it cannot be a prime number, ... The same way for all numbers between 6*+2=6!+2 and 6*+6=6!+6, inclusive. Which means that there are no primes W in this range.   Nonenswer: None.
Answer: A
A person buys an article at Rs.500. At what price should he sell the article so as to make a profit of 20%?	Choose the correct choice from the following choices:
A) 600	B) 277	C) 269	D) 261	E) 281

Solution: Cost price = Rs.500   profit = 20% of 500 = Rs.100   Selling price = Cost price + Profit   = 500 + 100 = 600.600nswer: 600
Answer: A
On his first 4 tests, John received an average score of X points. If on his fifth test, he exceeds his previous average score by 30 points, what is his average score for his first 5 tests?
Choose the correct choice:
A) X +6
B) X +5
C) X +4
D) X
E) X +10

Solution: Total of 1st 4 tests= 4X   5th test score = X + 30   Total of all 5 tests = 5X + 30   X +6verage = X +6   X +6nswer : X +6
Answer: A
A certain family has 3 sons: Richard is 6 years older than David, and David is 8 years older than Scott. If in 8 years, Richard will be twice as old as Scott, then how old was David 3 years ago?	Choose the correct choice from the following answers
A) 11	B) 10	C) 12	D) 14	E) 16

Solution: Let's say   Age of Richard is "R"   Age of David is "D"   Age of Scott is "S"   Now   Richard is 6 years older than David,   i.e. R = D +6   David is 8 years older than Scott   i.e. D = S +8   If in 8 years, Richard will be twice as old as Scott   i.e. R+8 = 2x(S+8)   i.e. R+8 = 2S + 16   i.e. R = 2S+8   But R = D+6 = (S+8)+6 = S+14   therefore, 2S + 8 = S +14   i.e. S = 6   i.e. R = 20   i.e. D = 14   Now,   how old was David 3 years ago?   i.e. D-4 = 14-3= 
14-3 = 11
11 years   11NSWER:11
Answer: A
What is the ratio of Arun's monthly income in the year 2006, Suman's monthly income in the year 2007 and Jyothi's monthly income in the year 2005?	Choose the correct choice from the following:
A) 22
B) 67
C) 26
D) 18
E) 16

Solution: 22nswer:	22
Answer: A
The sum of two numbers is 80. Their difference is 10. The bigger number is  Choices:
A) 20  B) 25  C) 30  D) 35  E) 45

Solution: X + Y = 80   X - Y = 10   Adding 2X = 90 ==> X = 45 and Y = 80 - 45= 
80 - 45 = 35
35   Bigger number is X= 45   Answer 45.
Answer: E
A square with sides of 15 units each. What would be the area of the square. Consider a square as a combination of two right angled triangles.  Choose the most appropriate option.
A) 100 B) 256 C) 225 D) 81 E) 144

Solution: A square can be considered as a set of two right angled triangles joined from the hypotenuse.   Since the sides are 10 units each. The height and base of both the triangles is 10 each.   Area of a right angled triangle is 1/2 * base * height   Area of both the triangles is 2 * 1/2 * base * height. Since both triangles are similar.   = base * height   = 15*15= 
15*15 = 225
225   Ans: 225
Answer: C
4 men can check exam papers in 8 days working 5 hours regularly. What is the total hours when 2 men will check the double of the papers in 20 days?	Choose the most appropriate option:	A) 8	B) 9	C) 6	D) 1	E) 5

Solution: Let a man can do 1 unit of work in 1 hour.   Total units of work = 4 x 8 x 5 = 160 units.   Now work = 2 x 160 = 320 units.   Now 2 men work for 20 days. Let in x hours they have to work per day.   Now total work = 2×x×20 = 40 x   40x = 320 So x = 320/40= 
320/40 = 8
8 hours.   8nswer:8
Answer: A
A, B and C play a cricket match. The ratio of the runs scored by them in the match is A:B = 2:3 and B:C = 2:5. If the total runs scored by all of them are 75, the runs scored by B are?	Choose the correct choice from the following options.
A) 10
B) 18
C) 16
D) 14
E) 15

Solution: A:18 = 2:3   18:C = 2:5   A:18:C = 4:6:15   6/25 * 75= 
6/25 * 75 = 18
18   Answer: 18
Answer: B
Which is the least number that must be subtracted from 1100 so that the remainder when divided by 7, 12, 16 is 4? Pick one.
A) 58  B) 68  C) 78  D) 88  E) 90

Solution: First we need to figure out what numbers are exactly divisible by 7,12,16. This will be the set {LCM,LCMx2,LCMx3,...}   LCM(7,12,16) = 48*7= 
48*7 = 336
336   The numbers which will leave remainder 4 will be {336+4, 336x2 +4, 336x3 +4,...}   The largest such number less than or equal to 1100 is 336x3+4 or 1012   To obtain this you need to subtract 88   88
Answer: D
In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together? Choose the correct choice from the following choices:
A) 680
B) 700
C) 720
D) 800
E) 820

Solution: The word 'OPTICAL' contains 7 different letters.   When the vowels OIA are always together, they can be supposed to form one letter.   Then, we have to arrange the letters PTCL (OIA).   Now, 5 letters can be arranged in 5! = 120 ways.   The vowels (OIA) can be arranged among themselves in 3! = 6 ways.   Required number of ways = (120 x 6) = 720.   ANSWER : 720
Answer: C
On average, Machine A will produce a completed item once every six minutes, and Machine B will produce a completed item once every ten minutes. The number of items Machine A produces in a 24-hour period is approximately what percent greater than the number of items Machine B would produce in that same period?  Choose the correct choice from the following choices:  A) 100%%  B) 67%  C) 25%  D) 125%  E) 20%

Solution: Machine A: 1 item in 6 minutes --> 1/6 items in 1 minute;   Machine B: 1 item in 10 minutes --> 1/10 items in 1 minute.   In the same time period, Machine A produces (1/6-1/10)/(1/10)*100=~67% more items than machine B.   Answer: 67%.
Answer: B
What inequality represents the condition 1<x<8?	Choose the correct choice:
A) |x|<3  B) |x+5|<4  C) |x-9/2|<7/2  D) |-5+x|<4  E) |3+x|<5

Solution: 1<x<8 represents segment with   length:   8-1= 
  8-1 = 7
7   center: (8+1)/2= 9/2   For any |x-a|<b a is a center and b is a half of length. So, |x-9/2|<7/2 represents our inequality (answer |x-9/2|<7/2)
Answer: C
. In a certain city, 60 percent of the registered voters are Democrats and the rest are Republicans. In a mayoral race, if 55 percent of the registered voters who are Democrats and 20 percent of the registered voters who are Republicans are expected to vote for Candidate A, what percent of the registered voters are expected to vote for Candidate A ?  Pick one
A) 50% B) 53% C) 54% D) 41% E) 57%

Solution: Registered voters = 100   41% = 60   R = 40   55% of 41% ( 60) = 33   20% of R ( 40 ) = 8   Total voter% of registered voters = 41 / 100   41% Ans 41%
Answer: D
A meal cost $ 37.25 adn there was no tax. If the tip was more than 10 pc but less than 15pc of the price, then the total amount paid should be: Choices:
A) 42-45  B) 41-43  C) 39-41  D) 37-39  E) 36-37

Solution: 10%(37.25) = 3.725   15%(37.25) = 5.5875   total amount could have been 37.25+3.725 and 37.25+5.5875   => could have been between 40.975 and 42.8375   => approximately between 41 and 43   Answer is 41-43.
Answer: B
sue has 3 apples. Billy has 5 apples. If billy steals all of sues apples and eats 2 how many does he have left?	Choose the correct choice from the following.
A) 2  B) 5  C) 6  D) 4  E) 8

Solution: 6 6
Answer: C
If n + 15 is a positive odd integer, which of the following must be true about the sum of the next four integers?
Options: A) It is a multiple of 3 B) It is a multiple of 4 C) It is a prime number D) It is a multiple of 5 E) It is a multiple of 2

Solution: n+15 is a positive odd integer. This means n will be an odd integer   The next 4 integers would be: n + 15, n + 16, n + 17, n + 18   Sum = 4n + 56   This sum will always be even.   Option It is a multiple of 4
Answer: B
In a certain game of dice, the player’s score is determined as a sum of three throws of a single die. The player with the highest score wins the round. If more than one player has the highest score, the winnings of the round are divided equally among these players. If Jim plays this game against 24 other players, what is the probability of the minimum score that will guarantee Jim some monetary payoff?	Pick: A) 1/216 B) 1/221 C) 1/212 D) 1/84 E) 1/42

Solution: Toguaranteethat Jim will get some monetary payoff he must score the maximum score of 6+6+6= 
6+6+6 = 18
18, because if he gets even one less than that so 17, someone can get 18 and Jim will get nothing.   P(18)=1/6^3=1/216.   1/216nswer: 1/216.
Answer: A
A full stationary oil tank that is a right circular cylinder has a radius of 100 feet and a height of 25 feet. Oil is pumped from the stationary tank to an oil truck that has a tank that is a right circular cylinder until the truck's tank is completely filled. If the truck's tank has a radius of 6 feet and a height of 10 feet, how far (in feet) did the oil level drop in the stationary tank? Choose the most appropriate option:
A) 0.036 B) 0.36 C) 0.6 D) 6 E) 3.6

Solution: The volume of oil pumped to the tank = The volume of oil taken away from stationary cylinder.   pi*36*10 = pi*h*100*100 (h is distance that the oil level dropped)   h = 360/10,000 = 36/1000= 
36/1000 = 9/250 = around 0.036
0.036 ft   The answer is 0.036.
Answer: A
Working simultaneously at their respective constant rates, Machines A and B produce 800 nails in x hours. Working alone at its constant rate, Machine A produces 800 nails in t hours. In terms of x and t, how many hours does it take Machine B, working alone at its constant rate, to produce 800 nails?
Choose the correct choice from the following options:
A) x/(x+y) B) y/(x+y) C) xy/(x+y) D) xy/(x-y) E) xt/(t-x)

Solution: Pick some smart numbers for x and t.   Say x=1 hour and t=2 hours (notice that t must be greater than x, since the time for machine A to do the job, which is t hours, must be more than the time for machines A and B working together to do the same job, which is x hours).   In this case, the time needed for machine B to do the job must also be 2 hours:   1/2+1/2= 
  1/2+1/2 = 1
1.   Now, plug x=1 and t=2 in the options to see which one yields 2. Only option E fits.   Answer: xt/(t-x).
Answer: E
The average age of 15 students of a class is 15 years. Out of these, the average age of 5 students is 14 years and that of the other 9 students is 16 years, The age of the 15th student is  Choose the correct choice from the following choices:
A) 11
B) 15
C) 6
D) 8
E) 76

Solution: Explanation:   Age of the 15th student = [15 * 15 - (14 * 5 + 16 * 9)] = (225-214)= 
(225-214) = 11
11 years.   11nswer: 11) 11
Answer: A
On a certain farm the ratio of horses to cows is 4:1. If the farm were to sell 15 horses and buy 15 cows, the ratio of horses to cows would then be 13:7. After the transaction, how many more horses than cows would the farm own?  Choose the correct answer
A) 30	B) 60	C) 75	D) 90	E) 105

Solution: Originally, there were 4k horses and k cows.   7(4k-15) = 13(k+15)   28k-13k = 195+105   15k = 300   k = 20   The difference between horses and cows is (4k-15)-(k+15) = 3k-30 = 30   The answer is 30.
Answer: A
Length and Breadth of a rectangle is 7 m and 3.5 m respectively. Find the area of circle of maximum radius
Select.
A) 9.625 B) 9.74 C) 9.8 D) 9.725 E) 9.547

Solution: Explanation:   area of circle = πb2/4   = 22/7 × 3.52/4   = 9.625sq.m   9.625nswer: Option 9.625
Answer: A
How many integers between 1 and 10^17 are such that the sum of their digits is 2? Options
A) 133
B) 143
C) 153
D) 163
E) 173

Solution: The integers with a sum of 2 are:   2, 20, 200,...,2*10^16 and there are 17 integers in this list.   Also, these integers have a sum of 2:   11   101, 110   1001, 1010, 1100   etc...   The number of integers in this list is 1 + 2 + ... + 16   Thus, the total number of integers is 1 + 2 + ... + 16 + 17 = 17*18/2= 
17*18/2 = 153
153   The answer is 153.
Answer: C
If the productivity of a brigade grows by 30% when the number of the workers in the brigade is increased by one, then which of the following is closest to the ratio of the productivity of a 12-person brigade to that of a 10-person brigade?	Options:	A) 0.21	B) 0.82	C) 1.2	D) 1.21	E) 1.41

Solution: B = 10-men brigade   p = increase in the productivity = 30%   Solution: B x p = B x 1.3 = 1.3B -------> the productivity of 11 men brigade   1.13B x p = 1.13B x 1.1 = 1.41B -----> the productivity of 12 men brigade   The ratio of the productivity of a 12-men brigade to that of a 10-men brigade = 1.41B/B = 1.41   1.41
Answer: E
There are 25 doors marked with numbers 1 to 25. And there are 25 individuals marked 1 to 25.
An operation on a door is defined as changing the status of the door from open to closed or vice versa. All doors are closed to start with.
Now one at a time one randomly picked individual goes and operates the doors. The individual however operates only those doors which are a multiple of the number he/she is carrying. For e.g. individual marked with number 5 operates the doors marked with the following numbers: 5, 10, 15,20 and 25.
If every individual in the group get one turn then how many doors are open at the end?
Answers
A) 0	B) 1	C) 2	D) 4	E) 5

Solution: Let us start with 1.   When 1 goes, all the doors are open since every number is a multiple of 1.   Also 1 will remain opened since 1 is not a multiple of any number.   Prime numbers can only be operated by people with prime numbers.   So 2,3,5,7,11,13,17,19,23 will be closed when people with respective numbers perform operations on them.   Our numbers left are 4,6,8,9,10,12,14,15,16,18,20,21,22,24,25   From these numbers, only those numbers will remain opened on which even number of operations are performed including the operation performed by number 1.   This is possible only for perfect squares which are 4,9,16 and 25.   So our numbers are 1,4,9,16 and 25.   Answer:- 5
Answer: E
On a two-dimensional coordinate plane, the line d = x^2 - x^3 touches the x-axis in how many places?
Choices
A) 0 B) 1 C) 2 D) 3 E) 4

Solution: Apparently it's d = x^2 - x^3 instead of d = x^2 - d^3.   In this case: the x-intercept is the value(s) of x for d = 0.   0 = x^2 - x^3;   0 = x^2(1 - x);   x = 0 or x = 1.   Answer: 2.
Answer: C
Taylor can read m pages in 7 minutes. At this rate, how long will it take him to read n pages?  Options.
A) (8/m)*n  B) (9/m)*n  C) (10/m)*n  D) (11/m)*n  E) (7/m)*n

Solution: m page in 7 mins   i.e. 1 page in 7/m mins   i.e. n pages in (7/m)*n   Answer: option (7/m)*n
Answer: E
A candidate scoring 25% in an examination fails by 30 marks , while another candidate scores 50 % mark, gets 20 marks more than the minimum pass marks . Find the minimum pass marks. Find the minimum pass percentage.	Choose one:
A) 26	B) 40	C) 88	D) 27	E) 26

Solution: Let x be the maximum marks,   Then (25% of x)+30 = (50% of x)-20   \inline \Rightarrow \inline \frac{x}{4}+30 = \frac{x}{2}-20   \inline \Rightarrow 2x-x=120+80= 
120+80 = 200
200   Hence maximum marks= 200   Minimum pass marks = \inline \frac{200}{4}+30=80   Hence, minimum pass marks = \inline \frac{80}{200}\times 100=40%   Answer: 40
Answer: B
A tap can fill a tank in 12 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 correct answer:  A) 1 hr 20 min  B) 4 hr  C) 6 hr  D) 8 hr 00 min  E) 2 hr 50 min

Solution: Explanation:   1 tap can fill the tank in 12 hours.   Therefore   1 tap can fill half tank in 6 hours.   3 taps can fill the tank in 12/3= 
12/3 = 4
4 hours.   Therefore   3 taps can fill half tank in  4/2= 
 4/2 = 2
2 hours.   Total time taken=8 hour 00 minutes   Answer: Option 8 hr 00 min
Answer: D
Jill is dividing her ten-person class into two teams of equal size for a basketball game. If no one will sit out, how many different match-ups between the two teams are possible?	Choose the correct choice from the following answers:
A) 10 B) 25 C) 126 D) 252 E) 630

Solution: With 10 players, the process of figuring out how many groups of 5 can be formed is pretty straight-forward....   10C5 = 10!/(5!5!) = 256 possible groups of 5   Once forming that first group of 5, the remaining 5 players would all be placed on the second team by default.   The 'twist' is that the two teams of 5 can "show up" in either order:   For example, if we call the two teams of 5 players: A,B,C,D,E and F,G,H,I,J   ABCDE vs. FGHIJ   is the SAME match-up as....   FGHIJ vs. ABCDE   So we are NOT allowed to count that matchup twice. This means we have to divide the 256 by 2.   Final Answer:126
Answer: C
There are three vessels of equal capacity .Vessel A contains Milk and water in the ratio 4:3 ;Vessel B contains Milk and water in the ratio 2:1 and Vessel C contains Milk and water in the ratio 3:2 .If the mixture in all the three vessels is mixed up.What will be the ratio of water to milk ?
Select the correct option
A) 9:6 B) 3:2 C) 118:126 D) 122:193 E) 201:132

Solution: 4:3=>4x+3x=7x   2:14 +3= 
4 +3 = 7
7x   2:1=>2y+1y=3y   3:22 +1= 
2 +1 = 3
3y   3:2=>3z+2z=5z   7x3 +2= 
3 +2 = 5
5z   7x=3y=5z   Take LCM of 7,3,5=105   Or simply;   x=3*5= 
3*5 = 15
15   y=7*5= 
7*5 = 35
35   z=3*7= 
3*7 = 21
21   So,   Ratio of Water:Milk= (3x+y+2z)/(4x+2y+3z)=122/193   Ans:122:193
Answer: D
Two numbers when divided by a divisor leave remainders of 238 and 362 respectively. The remainder obtained when the sum of the numbers is divided by the same divisor is 68. Find the divisor.  Select.
A) 276	B) 552	C) 414	D) 1104	E) 2202

Solution: Let x be the divisor.   N1 = xa + 238   N2 = xb + 362   N1 + N2 = x(a+b) + 600 = xc + 68   x(c-a-b) = 532 but we know that x>362, thus (c-a-b) must equal 1.   The answer is 552.
Answer: B
The manager of a theater noted that for every 10 admissions tickets sold, the theater sells 3 bags of popcorn at 2.5 $ each, 4 sodas at 1.50 $ each and 2 candy bars at 1.00$ each. To the nearest cent, what is the average (arithmetic mean) amount of these snacks sales per ticket sold?  Choose the correct choice.
A) 1.48$  B) 1.55$  C) 1.60$  D) 1.64$  E) 1.70$

Solution: For every 10 tickets amount of snacks sold is  3*2.5+4*1.5+2*1= 
 3*2.5+4*1.5+2*1 = 15.5
$15.5, hence amount of the snacks sales per ticket is $15.5/10=~$1.55.   Answer: 1.55$.
Answer: B
A batsman in his 17th innings makes a score of 85 and their by increasing his average by 3. What is his average after the 17th innings ? Choices:
A) 25	B) 32	C) 37	D) 42	E) 50

Solution: 16x + 85 = 17(x + 3)   x = 34 + 3= 
34 + 3 = 37
37   Answer 37
Answer: C
A man can row upstream at 25 kmph and downstream at 35 kmph, and then find the speed of the man in still water? Choose the most appropriate option.
A) 33
B) 88
C) 30
D) 99
E) 71

Solution: US = 25   DS = 35   M = (35 + 25)/2= 
(35 + 25)/2 = 30
30   Answer: 30
Answer: C