MU-NLPC/Calc-aqua_rat huggingface dataset:
I walk a certain distance and ride the car back taking a total time of 33 minutes. I could walk both sides in 45 min. How long would it take me to ride both ways?  Choose the most appropriate option:
A) 19min
B) 20min
C) 21min
D) 22min
E) 23min

Solution: Explanation :   Time taken in walking a certain distance   from X and Y = 22 1/2 min   Time taken in riding the same distance   = 33 - 22 1/2 = 10 1/2 min   It will take 21 min to ride both ways.   Answer : 21min
Answer: C
By selling an article at Rs.800, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 20%?  Choose the correct option: A) 228 B) 480 C) 512 D) 288 E) 276

Solution: SP = 800   Profit = 25%   512P = (SP)*[100/(100+P)]   = 800 * [100/125]   = 640   Loss 800 *  100/125= 
800 *  100/125 = 640
640   Loss= 25% = 25% of 640 = Rs.128   SP = 512P - Loss = 640 - 128 = Rs.512   Answer: 512
Answer: C
The Winston Pool League played a total of 90 balls of which the ladies sank 30%. After getting a good night's sleep, the ladies came back the next day and sank each of the next balls played bringing their average to 50%. How many ball did the league play for the ladies to achieve this average?  Pick
A) 25
B) 30
C) 46
D) 26
E) 36

Solution: Explanation: Identify the parts, set up equation, and solve.   Number of balls initially sank by the ladies:   30% * 90 = 27   Total balls sank by the ladies leaving their average at 50%. (Let x represent the unknown number of additional balls sank by the ladies.) Therefore, the total number of balls played is 90+x, and the total number of balls sank by the ladies is 27+x. This gives the equation as:   50%*(90+x)=27+x   Solve: Let's get rid of the percent sign   50/100*(90+x)=27+x   1/2 *(90+x)=27+x   Get rid of the fraction:   2[1/2 * (90+x)]=2(27+x)   1 * (90+x) =54+2x   90+x =54+2x   (90-54)+x = (54-54)+2x   36+x= 2x   36=x   Answer: 36
Answer: E
Shawn invested one half of his savings in a bond that paid simple interest for 2 years and received $650 as interest. He invested the remaining in a bond that paid compound interest, interest being compounded annually, for the same 2 years at the same rate of interest and received $725 as interest. What was the value of his total savings before investing in these two bonds? Answers
A) 1000	B) 1,250	C) 2,250	D) 3,250	E) 4,250

Solution: So, we know that Shawn received 20% of the amount he invested in a year. We also know that in one year Shawn received $325, thus 0.2x = $325 --> x = $1625   Since, he invested equal sums in his 2 bonds, then his total savings before investing was 2*$1,625 = $3,250   Answer 3,250
Answer: D
A palindrome is a number that reads the same forward and backward, such as 787. How many even, 8-digit numbers are palindromes?
Choose the correct choice from the following answers.
A) 4055 B) 4500 C) 5000 D) 9000 E) 4000

Solution: First recognize you only need to consider the first four digits (because the second four are just the first four flipped)   There are 9000 possibilities for the first four digits of a 8 digit number, 1000-9999 inclusive. Everything starting with a 2,4,6,8 will be odd, which is 4/9ths of the combinations.   4/9*9000= 
4/9*9000 = 4_000
4000   ANSW4000R:4000
Answer: E
Calculate the ratio between x and y if 30% of x equal to 50% of y?	Choose the correct choice from the following answers:
A) 4 : 5
B) 3 : 5
C) 3 : 7
D) 3 : 2
E) 4 : 5

Solution: Explanation:   30 x = 50 y   x: y = 30: 50 = 3 : 5   Answer:3 : 5
Answer: B
If the wages of 6 men for 15 days be Rs.2100, then find the wages of
for 12 days.
Choose the correct option.
A) Rs.2420 B) Rs.2500 C) Rs.2520 D) Rs.2020 E) Rs.2650

Solution: Let the required wages be Rs. x.   More men, More wages	(Direct Proportion)   Less days, Less wages	(Direct Proportion)   Men 6: 9 : :2100:x   Days 15:12   Therefore (6 x 15 x x)=(9 x 12 x 2100)  x=(9 x 12 x 2100)/(6 x 15)=2520   Hence the required wages are Rs. 2520.   Answer is Rs.2520
Answer: C
To deliver an order on time, a company has to make 25 parts a day. After making 25 parts per day for 3 days, the company started to produce 5 more parts per day, and by the last day of work 100 more parts than planned were produced. Find how many parts the company made and how many days this took. Choose the most appropriate option:
A) 475 pieces.  B) 575 pieces.  C) 675 pieces.  D) 775 pieces.  E) None of these

Solution: Solution:   Let xx be the number of days the company worked. Then 25x is the number of parts they planned to make. At the new production rate they made:   3⋅25+(x−3)⋅30=75+30(x−3)   Therefore: 25x=75+30(x−3)−100   25x=75+30x−90−100   190−75=30x−25   115=5x   x=23   So the company worked 23 days and they made 23⋅25+100=675 pieces.   Answer 675 pieces.
Answer: C
Let p be a prime number. If N = 8p, how many distinct even divisors does N have?  Answers
A) 1 B) 4 C) 5 D) 2 E) 3

Solution: The correct answer is D. There are two: 2 and 2p.   8p = 2*2*2p = (2*2)*2p. Since we care only about distinct divisors, we ignore the fact that 2 appears three times.
Answer: D
A boy is travelling from his home to school at 12 km/hr and reached 7 min late. Next day he traveled at 16 km/hr and reached 8 min early. Distance between home and school? Select: A) 12km B) 13km C) 14km D) 15km E) 16km

Solution: Let the distance be x   T1 = x/12 hr   T2 = x/16hr   Difference in time = 7+8= 
7+8 = 15
15=1/4hr   x/12-x/16 = 1/4   x/48 = 1/4   x = 12 km   12kmnswer is 12km
Answer: A
What is the lowest positive integer that is divisible by each of the integers 1 through 8 inclusive?  Choose the correct option: A) 420 B) 840 C) 1260 D) 2520 E) 5020

Solution: We have to find the LCM of 1, 2, 3, 2^2, 5, 2*3, 7, and 2^3.   The LCM is 1*2^3*3*5*7= 840   The answer is 840.
Answer: B
Find the odd man out
6, 26, 106, 426, 1706, 4325, 27304  Choose the correct choice from the following options:
A) 6  B) 26  C) 426  D) 4325  E) 6826

Solution: 1*4+2= 
1*4+2 = 6
6   6*4+2= 
6*4+2 = 26
26   26*4+2= 
26*4+2 = 106
106   106*4+2= 
106*4+2 = 426
426   426*4+2= 
426*4+2 = 1_706
1706   1706*4+2= 
1706*4+2 = 6_826
6826   6826*4+2= 6826   ANSWER:4325
Answer: D
The pilot of a small aircraft with a 40-gallon fuel tank wants to fly to Cleveland, which is 520 miles away. The pilot recognizes that the current engine, which can fly only 8 miles per gallon, will not get him there. By how many miles per gallon must the aircraft’s fuel efficiency be improved to make the flight to Cleveland possible?
Options.
A) 5	B) 4	C) 12	D) 40	E) 160

Solution: Actual miles/gallon is = 520/40= 
520/40 = 13
13 miles/gallon.   Current engine miles/gallon is 8 miles/gallon.   Additional 5 miles/gallon is required to match the actual mileage.   IMO option 5.
Answer: A
A boat can travel with a speed of 22 km/hr in still water. If the speed of the stream is 5 km/hr, find the time taken by the boat to go 189 km downstream Choose the correct choice
A) 5 hours  B) 4 hours  C) 3 hours  D) 2 hours  E) 7 hours

Solution: Explanation :   Speed of the boat in still water = 22 km/hr   speed of the stream = 5 km/hr   Speed downstream = (22+5)= 
(22+5) = 27
27 km/hr   Distance travelled downstream= 189 km   Time taken = distance/speed = 189/27= 
189/27 = 7
7 hours. Answer : Option 7 hours
Answer: E
A bag of n peanuts can be divided into 9 smaller bags with 6 peanuts left over. Another bag of m peanuts can be divided into 12 smaller bags with 4 peanuts left over. What will be the remainder when nm is divided by 6?	Choose one.
A) 2 B) 1 C) 0 D) 3 E) 4

Solution: n = 9x + 6   m = 12y + 4   nm = (9x + 6)*(12y + 4) = 108xy + 36x + 72y + 24   Remainder of nm/6 = (108xy + 36x + 72y + 24)/6   Observe that the first three terms are a multiple of 6   hence there will be no remainder   0orrect Option: 0
Answer: C
The value of a laptop depreciates at the rate of 30% every year. It was purchased 2 years ago. If its present value is Rs. 3430, its purchase price was	Choose the most appropriate option: A) 6000 B) 6500 C) 7000 D) 7500 E) 8000

Solution: Explanation:   = Rs.7000   Answer: 7000
Answer: C
There are 8 books in a shelf that consist of 1 paperback books and 7 hardback books. If 3 books are selected at random without replacement, how many different combinations are there that at least one paperback book is selected? Choose the correct choice:
A) 21	B) 45	C) 50	D) 55	E) 60

Solution: 8C3 [Select any four] - 7C3 [Select all hard backs] = 21   21
Answer: A
What should be the minimun mark up percentage such that after giving the discount of 200/3% ., there will neither a loss nor a profit ?
Choose the correct option:
A) 133.3%  B) 100%  C) neither gain nor loss  D) 200%  E) 120%

Solution: Let CP = 100.   Discount = 200/3%.   Let 200% was the mark up.   MP = 100 + 200% of 100 = 300.   Now, after discount   300 - (200/3)% of 300   = 300 - 200= 
300 - 200 = 100
100.   So, in transaction neither gain nor loss occurs.   ANSWER - OPTION neither gain nor loss
Answer: C
What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 20% ?
Pick one:
A) 30 % B) 25 % C) 15 % D) 20 % E) 23 %

Solution: Explanation:   SP2 = 2/3 SP1   CP = 100   SP2 = 80   2/3 SP1 = 80   SP1 = 120   100 --- 20 => 20%   ANSWER IS 20 %
Answer: D
If a population of women in a town is 60% of men . What is the population of men as a % of population of women ?  Choose the correct answer.
A) A)200%	B) B)100%	C) C)50%	D) D)65%	E) E)166%

Solution: We're told that the number of Women in a town is equal to 60% of the number of Men in that town.   IF....   Men = 10   Women = 6   We're asked for the number of Men, as a percentage of the number of Women.   M/W = 10/6 = 5/3 = 166%   Answer is 166%
Answer: E
In the set of positive integers from 1 to 100, what is the sum of all the odd multiples of 5?
Pick one:
A) 180 B) 245 C) 320 D) 405 E) 500

Solution: reduce 1 - 100   5 - 15 - 25 - 35 - 45 --55--65--75--85--95 are valid multiples. Add them -->500   500
Answer: E
What is the unit digit in (632)^179×(615)^316×(341)^476  Choose the correct option
A) 0
B) 1
C) 2
D) 3
E) 4

Solution: unit digit in (632)179   = unit digit in (4)1797   = unit digit in [(42)898 × 4]   = unit digit in [16898 × 4]   = unit digit in (6 × 4)   = 4   unit digit in (615)316   = unit digit in (5)316   = 5   unit digit in (341)476   = unit digit in (1)476   = 1   Hence, unit digit in (6324)1797 × (625)316 × (341)476   = unit digit in [4 × 5 × 1]   = 0   0
Answer: A
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If four marbles are picked at random, what is the probability that none is blue? Choose the correct choice from the following:  A) 33/96  B) 33/91  C) 33/67  D) 33/28  E) 33/19

Solution: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles. When four marbles are picked at random, then the probability that none is blue is   = ¹²C₄/¹⁵C₄   = (12 * 11 * 10 * 9)/(15 * 14 * 13 * 12)   = 33/91   Answer: 33/91
Answer: B
Find the sum of all 2 digit numbers divisible by 3.  Select the correct option
A) 16387  B) 26787  C) 1267  D) 1665  E) 1781

Solution: Explanation:   No explanation is available for this question!   ANSWER:1665
Answer: D
If the simple interest on a certain sum of money after 3 1⁄8 years is 1⁄4 of the principal, what is the rate of interest per annum?  Choose the correct choice from the following answers: A) 6% B) 4% C) 8% D) 5% E) 12%

Solution: Explanation :   Let the the sum of money(P) be Rs.x   Time(T) = 3 1⁄8 Years = 25⁄8 Years   Simple interest (SI) = x⁄4   Rate of interest per annum(R) = 100×SI/PT=100×x/4/x × 25/8   =100× x ×8/4× x × 25   =8%   Answer : Option 8%
Answer: C
If 0.75 : x :: 5 : 8, then x is equal to:	Select the correct option.
A) 1.25
B) 1.62
C) 2.0
D) 1.21
E) 1.2

Solution: (x x 5) = (0.75 x 8)   x = 6/5= 
6/5 = 6/5 = around 1.2
1.20   ANSW1.2R 1.2
Answer: E
The difference between the place values of 6 and 1 in the number 527631 is  Choose one.
A) 596  B) 587  C) 533  D) 568  E) 599

Solution: Sol.= (Place value of 6) – (place Value of 1)= (600 - 1)= 
(600 - 1) = 599
599 Answer 599
Answer: E
Enrollment in City College in 1980 was 83 1/3 percent of enrollment in 1990. What was the percent increase in the college’s enrollment from 1980 to 1990?	Pick:
A) 10%  B) 16 2/3 %  C) 20%  D) 25%  E) 183 1/3%

Solution: Let 100 is the enrollment in 1990.   Enrollment in 1980= 83.3   % increase= (Increase from 1980 to 1990)/Enrollment in 1983   =>16.7*100/83.3 =20%   ANSWER:20%
Answer: C
Mary is traveling from one end of a forest to the other. In order to find her way back, she is leaving morsels of bread in the following pattern: 2 morsels of white, 3 morsels of wheat, and 1 morsel of rye. The pattern repeats after she leaves the morsel of rye. If Mary drops 2,000 morsels of bread, what are the last 3 morsels of bread that she drops?  Choose one
A) rye − white − white	B) white − white − wheat	C) wheat − rye − white	D) wheat− wheat − wheat	E) wheat − wheat− rye

Solution: In a single round Mary drops 6 morsels.   Remainder (2000/6) = 2   Final action = 2 drops of Wheat --> Options B, C, D and E can be eliminated   rye − white − whitenswer: rye − white − white
Answer: A
A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present?	Choose the correct answer:
A) 32 years
B) 36 years
C) 40 years
D) 48 years
E) 45 years

Solution: let the age be x   2/5x=x (2/5 the age of son = mothers age)   after 8 yrs   2/5x+8=x+8/2   4=x/10   x=40.   ANSWER:40 years
Answer: C
Express a speed of 36 kmph in meters per second? Choices
A) 10 mps	B) 14 mps	C) 18 mps	D) 19 mps	E) 11 mps

Solution: 36 * 5/18= 
36 * 5/18 = 10
10 mps   10 mpsnswer: 10 mps
Answer: A
A and B invests Rs.3000 and Rs.4000 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit? Choose the correct choice from the following answers.
A) 9:9	B) 9:8	C) 9:4	D) 9:1	E) 9:2

Solution: (3*6 + 6*6): (4*12)   54:48 => 9:8   Answer: 9:8
Answer: B
How many different possible arrangements D can be obtained from the letters G, M, A, T, I, I, and T, such that there is at least one character between both I's? Choose the correct choice from the following.
A) 360	B) 720	C) 900	D) 1800	E) 5040

Solution: Total ways for arranging without restriction = 7!/ (2!2!) { 2! is becoz of two T's and other 2! for two I's)   Restriction : atleast one character between I's = Possible ways - both I's together i.e.o character between I's   _ _ _ _ _ (I I)   Both I's Together = 6! (Assuming 2 I's as one unit) /2!(for 2 T's) * 2! (No of arrangements of 2 I's)/2! (for 2 I's)   =6!/2!   Therefore ans D= 7!/ (2!2!) -6!/2! = 900   HEN900E 900.
Answer: C
Each of the integers from 1 to 14 is written on the a seperate index card and placed in a box. If the cards are drawn from the box at random without replecement, how many cards must be drawn to ENSURE that the product of all the integers drawn is even?
Choose the correct choice from the following answers
A) 19	B) 12	C) 11	D) 10	E) 8

Solution: Out of the 14 integers: 7 are odd and 7 are even.   If we need to make sure that the product of all the integers withdrawn is even then we need to make sure that we have at least one even number. In the worst case:   1. we will end up picking odd numbers one by one, so we will pick all 7 odd numbers first   2. 8th number will be the first even number   So we need to withdraw at least 8 numbers to make sure that we get one even number and the product of all the integers picked is even.   So, answer will be 8. (8)
Answer: E
A train with a length of 100 meters, is traveling at a speed of 72 km/hr. The train enters a tunnel 1.1 km long. How many minutes does it take the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?	Choose the most appropriate option:
A) 1.0  B) 1.2  C) 1.4  D) 1.6  E) 1.8

Solution: 72 km/hr = 1.2 km/min   The total distance is 1.2 km.   1.2 / 1.2= 
1.2 / 1.2 = 1
1 minute   The answer is 1.0.
Answer: A
A tour group of 25 people paid a total of $620 for entrance to a museum. If this price included a 5% sales tax, and all the tickets cost the same amount, what was the face value of each ticket price without the sales tax?
Choices Answers:
A) $22 B) $23.56 C) $24 D) $25.20 E) $30

Solution: $23.56.
Answer: B
Will is 7 years older than Judy while George is 5 years younger than Judy. What is the age of Judy, If the sum of all of their ages is 32 years? Choose the correct choice:
A) 17 years	B) 20 years	C) 10 years	D) 15 years	E) 19 years

Solution: Let Judy's age be x, Will's age be x+7 and George's age be x-5   x + x+7 + x-5 = 32   x = 10   Judy's age is 10 years   Answer : 10 years
Answer: C
Which of the numbers 1, 2, 3, 4, or 5 is nearest in value to the sum
2007/2999+8001/5998+2001/3999=?	Choose one.
A) 1
B) 2
C) 3
D) 4
E) 5

Solution: The sum is a little more than (2/3) + (8/6) + (2/4) = 2.5.   correct answer 3
Answer: C
A sum of money is put out at compound interest for 2 years at 20%. It would fetch Rs.482 more if the interest were payable half-yearly, then it were pay able yearly. Find the sum.
Answers:
A) Rs.4000 B) Rs.1000 C) Rs.1250 D) Rs.2000 E) Rs.3000

Solution: Explanation:   P(11/10)4 - P(6/5)2 = 482   P = 2000   ANSWER IS Rs.2000
Answer: D
If in a triangle, the area is numerically equal to the perimeter, then the radius of the inscribed circle of the triangle is Select: A) 1 B) 2 C) 3 D) 4 E) 5

Solution: Solution   Radius = Area / Semi perimeter   = [Area x 2 / Area]   = 2.   Answer 2
Answer: B
A and B together can do a piece of work in 8 days. If A alone can do the same work in 12 days, then B alone can do the same work in?  Choices: A) 66 days B) 88 days C) 24 days D) 55 days E) 77 days

Solution: B = 1/8 – 1/2 = 1/24 => 24 days   Answer:24 days
Answer: C
A seven-digit phone number is divisible by 9. After adding the two digits of the area code the number is not divisible by 9, which of the following cannot be the area code? Choose the correct answer: A) 07. B) 06. C) 05. D) 04. E) 09.

Solution: Given that 7 digit number is divisible by 9   we know any number will not be divisible by 9 if the sum of all digits of the number is not the multiple of 9.   Hence looking at the option we can say that the number that should be added to the seven digit number must be 09 as adding it will make it divisible by 9... hence answer is 09.
Answer: E
A chair is bought for Rs.200/- and sold at Rs.310/- find gain or loss percentage	Pick one.
A) 15% loss B) 20% gain C) 25% gain D) 30% gain E) 55% gain

Solution: Formula = (Selling price ~ Cost price)/Cost price * 100   = (310- 200)/200= 55% gain   55% gain
Answer: E
If the average (arithmetic mean) of x + 1, x + 5, and x + 9 is 0, then x = Options
A) –5  B) –4  C) –2  D) –1  E) 0

Solution: (x+1 + x+5 + x+9)/3 = 0   =>3x + 15 = 0   =>x = -5   –5nswer –5
Answer: A
If each of 3 digit code is formed of integers from 1 to 30, inclusively, and each of the digits are different, how many possible codes are there?
Choose the correct choice from the following answers:
A) 22896 B) 25423 C) 26980 D) 24698 E) 24360

Solution: Code consists of 3 digits and no digit is repeated.   First digit of the code can have 30 possibilities   Second digit can have 29 possibilities   Third digit can have 28 possibilities   Total number of possible codes = 30*29*28= 
30*29*28 = 24_360
24360   Answer: 24360
Answer: E
One side of a triangle has length 6 and a second side has length 5. Which of the following could be the area of the triangle?
I. 20
II. 15
III. 5	Select.
A) I only B) II only C) III only D) II and III only E) I, II and III

Solution: The triangle will have a maximum area when it is a right angled triangle   The largest triangle will be formed when 6 and 5 are the base and height of triangle .   Area = 1/2 * 6 * 5= 
1/2 * 6 * 5 = 15
15   There is no lower limit on the area of any triangle whose only 2 sides are known.   Then 0 < Area <= 15   The answer is II and III only.
Answer: D
a is the product of each integer from 1 to 50, inclusive and b=100^k, where k is an integer . What is the greatest value of k for which y is a factor of a? Choose the correct option
A) 6 B) 7 C) 8 D) 9 E) 10

Solution: The number of trailing zeros in the decimal representation of n!, the factorial of a non-negative integer n, can be determined with this formula:   n5+n52+n53+...+n5k, where k must be chosen such that 5k≤n   x = 1*2*3....*50 = 50!   No. of trailing zeros in 50! = 50/5 + 50/5^2 = 10+2= 
10+2 = 12
12   100^k= 10^2k → k = 12/2= 
12/2 = 6
6   6
Answer: A
On what sum will the compound interest for 2 1⁄2 years at 10% amount to Rs. 31762.5? Options:
A) Rs.5000	B) Rs.20000	C) Rs.25000	D) Rs.30000	E) Rs.50000

Solution: Explanation:   P(1+10/100)^2×(1+1/2×10/100))=31762.5   P(11/10)^2×(21/20)=31762.5   P=31762.5×20×10×10/21×11×11=1512.5×20×10×10/11×11   =137.5×20×10×10/11   =12.5×20×10×10=Rs. 25000   Answer : Option Rs.25000
Answer: C
If 10,000 microns = 1 decimeter, and 1,000,000angstroms = 1 decimeter, how many angstroms equal 1 micron?	Choose the correct choice from the following answers.
A) 100  B) 10,000  C) 100,000  D) 0.01  E) 0.0001

Solution: 10,000 microns = 1 decimeter, and 1,000,000angstroms = 1 decimeter   10,000 microns = 1,000,000 angstroms   1 micron = 100   100nswer : 100
Answer: A
What least number must be subtracted from 2000 to get a number exactly divisible by 17 ?  Choose the correct choice from the following:	A) 9	B) 8	C) 5	D) 11	E) 15

Solution: On dividing 2000 by 17, we get 11 as remainder.   Required number to be subtracted = 11   Answer 11
Answer: D
In how many ways can the letters of the word RAVES be arranged in a row so that the vowels appear in alphabetic order?	Choices
A) 60	B) 30	C) 120	D) 240	E) 90

Solution: Two letters can be arranged in 2! ways.   only one combination EIU is required.   5 letters can be arranged in 5! ways.   thus 5!/ 2! * 1 = 60.   60
Answer: A
If the function Q is defined by the formula Q = 5w/(4d(z^2)), by what factor will Q be multiplied if w is quadrupled, d is doubled, and z is tripled? Options.
A) 1/9 B) 2/9 C) 4/9 D) 3/9 E) 2/27

Solution: We just need to find the factor thats all,   w -> quadrupled -> 4w   d-> doubled -> 2d   z-> tripled -> 3Z   Hence, Z^2 = 9Z^2   W is in numerator, and d*z in denominator.   Hence,   Additional factor being introduced = 4/2*9   =4/18 = 2/9 = 2/9
Answer: B
Annie and Sam set out together on bicycles traveling at 15 and 12 km per hour respectively. After 40 minutes, Annie stops to fix a flat tire. If it takes Annie 25 minutes to fix the flat tire and Sam continues to ride during this time, how many minutes will it take Annie to catch up with Sam assuming that Annie resumes riding at 15 km per hour? Select.
A) 20	B) 40	C) 60	D) 80	E) 100

Solution: Annie gains 3 km per hour (or 1 km every 20 minutes) on Sam.   After 40 minutes Annie is 2 km ahead.   Sam rides 1 km every 5 minutes.   In the next 25 minutes, Sam rides 5 km so Sam will be 3 km ahead.   It will take Annie 60 minutes to catch Sam.   The answer is 60.
Answer: C
What is the sum of all 3 digit positive integers that can be formed using the digits 1, 3, and 6, if the digits are allowed to repeat within a number? Choose the correct choice from the following answers.
A) 6660  B) 7770  C) 8880  D) 9990  E) 10,110

Solution: The number of these 3-digit numbers is   3*3*3= 
  3*3*3 = 27
27   Each digit 1, 3, and 6 will appear in the ones, tens, and hundreds place 9 times each.   The sum equals 9(111) + 9(333) + 9(666)= 9,990   The answer is 9990.
Answer: D
A shop owner sells 100 lemons and gains SP of 40 lemons. Find the gain %? Choose the correct choice
A) 62 2/3%
B) 64 2/3%
C) 66 2/3%
D) 66 5/3%
E) 68 2/3%

Solution: Gain=40 lemonsTotal 100 lemons66 2/3%P 100-40= 
100-40 = 60
60(40/60)*100=66 2/3%Ans 66 2/3%
Answer: C