MU-NLPC/Calc-aqua_rat huggingface dataset:
A man can row 40km upstream and 55km downstream in 13 hours also, he can row 30km upstream and 44km downstream in 10 hours.find the speed of the man in still water and the speed of the current. Choose the correct choice from the following: A) 1 lmph B) 2 kmph C) 4 kmph D) 5 kmph E) 3 kmph

Solution: let rate upstream=x km/hr and rate downstream=y km/hr.   Then,40/x +55/y =13â€¦(i) and 30/x +44/y =10   Multiplying (ii) by 4 and (i) by 3 and subtracting ,we get:11/y=1 or y=11.   Substituting y=11 in (i),weget:x=5.   Rate in still water =1/2(11+5)kmph=8kmph.   Rate of current=1/2(11-5)kmph=3kmph   ANSW3 kmphR 3 kmph
Answer: E
In a games hour 4 different types of players came to the ground? cricket 11, hokey 15, football 21, softball 15. How many players are present in the ground?  Answers:
A) 70
B) 52
C) 62
D) 49
E) 50

Solution: total number of players= 11+15+21+15= 
11+15+21+15 = 62
62   Answer is 62
Answer: C
Sushil got thrice as many marks in English as in Science. His total marks in English, Science and Maths are 180. If the ratio of his marks in English and Maths is 1:2, find his marks in Science? Choose the correct choice from the following choices:  A) 19  B) 77  C) 66  D) 55  E) 31

Solution: S:E = 1:3   E:M = 1:2   ------------   S:E:M = 1:3:6   1/10 * 190= 
1/10 * 190 = 19
19   19nswer: 19
Answer: A
An automobile parts supplier charges $25 per package of gaskets. When a customer orders more than 10 packages of gaskets, the supplier charges 4/5 the price for each package in excess of 10. During a certain week, the supplier sold 60 packages of gaskets. If 30 percent of the gaskets went to Company X, 15 percent to Company Y, and the rest to Company Z, what was the total amount, in dollars, that the parts supplier received in payment for the gaskets?	Choose the correct choice:
A) 1305  B) 1375  C) 1345  D) 1415  E) 1455

Solution: $25 per packet of gasket in case a customer orders less than 10   in case a customer orders > 10 price per gasket = 25*4/5= 
25*4/5 = 20
20   a certain week the supplier sold 60 gasket   1.he sold 30 % of the gaskets to X= 18 gaskets = 25*10 + 20 *8 = 250 + 160= 
250 + 160 = 410
410   2.he sold 15 % of the gaskets to Y= 9 gaskets = 25*9= 
25*9 = 225
225   3.he sold remaining 55% to z=33 gaskets = 25*10= 
25*10 = 250
250 + 20*23= 
250 + 20*23 = 710
710   thus ,total money earned   410+225+710= 
410+225+710 = 1_345
1345   Answer is 1345
Answer: C
A girl scout was selling boxes of cookies. In a month, she sold both boxes of chocolate chip cookies ($1.25 each) and boxes of plain cookies ($0.75 each). Altogether, she sold 1,585 boxes for a combined value of $1,586.75. How many boxes of plain cookies did she sell?  Choose the most appropriate option
A) 0 B) 233 C) 500 D) 695 E) 789

Solution: Let #plain cookies sold be X then #chocolate cookies = (total cookies-X)   789quating for X   (0.75)*X +(1.25)*(1585-X)=1586.75   =>x=789
Answer: E
A car going at 20 miles per hour set out on an 80-mile trip at 9:00 A.M. Exactly 10 minutes later, a second car left from the same place and followed the same route. How fast, in miles per hour, was the second car going if it caught up with the first car at 10:30 A.M.?
Options.
A) 40  B) 50  C) 53  D) 55  E) 60

Solution: Let Car 40 = car that starts at 9 40M   Car B = car that starts at 9:10 40M   Time for which car 40 travels at speed of 20 m per hour = 1.5 hours   Distance travelled by Car 40 = 20 *1.5= 
20 *1.5 = 30
30 miles   Since Car B catches up Car 40 at 10:30 , time= 80 mins = 4/3 hour   Speed of Car B = 30/(4/3) = 40 miles per hour   40nswer 40
Answer: A
A man can row 6 kmph in still water. When the river is running at 2 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man? Choose the correct choice from the following answers.
A) 5.32
B) 5.7
C) 5.76
D) 5.74
E) 5.71

Solution: M = 6   S = 2   DS = 8   US = 4   x/8 + x/4 = 1   x = 2.66   D = 2.66 * 2= 
2.66 * 2 = 5.32
5.32 5.32nswer: 5.32
Answer: A
A is three times as fast as B and working together, they can complete a work in 6 days. In how many days can B alone complete the work?	Choose the correct choice from the following answers
A) 11 days  B) 16 days  C) 13 days  D) 24 days  E) 19 days

Solution: A= 3B   A + B= 3B+ B= 4B   These 4B people can do the work in 6 days, which means B can alone do the work in  4*6= 
 4*6 = 24
24 days.   Answer : 24 days
Answer: D
Mr. Thomas invested an amount of Rs. 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be Rs. 3508, what was the amount invested in scheme B? Choose the correct choice from the following choices:
A) 6400
B) 2778
C) 2699
D) 2789
E) 1279

Solution: Let the sum invested in scheme A be Rs. x and that in scheme B be Rs. (13900 - x). Then,   (x * 14 * 2)/100 + [(13900 - x) * 11 * 2]/100 = 3508   28x - 22x = 350800 - (13900 * 22)   6x = 45000 => x = 7500   So, sum invested in scheme B = (13900 - 7500) = Rs. 6400.   6400nswer:6400
Answer: A
A shop keeper marked 30% above the cost price and offered 20% discount then find it's net profit? Answers:
A) 2%
B) 2.5%
C) 3.7%
D) 4.6%
E) 5%

Solution: Net profit = 30-20 + (30*(-25)/100)= 
30-20 + (30*(-25)/100) = 5/2 = around 2.5
2.5%   Answer is 2.5%
Answer: B
A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 34710
. What percentage of profit did he make?  Choose the correct choice from the following answers: A) 80% B) 49% C) 40% D) 70% E) 56%

Solution: The total CP = Rs. 16000 + Rs. 6250   = Rs. 22250 and SP = Rs. 34710   Profit(%) = (34710 - 22250)/22250 * 100= 
(34710 - 22250)/22250 * 100 = 56
56%   Answer:56%
Answer: E
Martha has the unique talent of being able to guess other people’s height and weight. For every five people that Martha meets, she consistently guesses the people’s correct height four times, and for every seven people that she meets, she consistently guesses the people’s correct weight five times. If Martha meets three people and her success rate remains constant, what is the probability that Martha correctly guesses a person’s weight and height at least once?
Choose the correct answer:
A) 8/27
B) 2/5
C) 49/81
D) 98/125
E) 316/343

Solution: Probability that she guesses the height correctly P(h)=4/5   Probability that she guesses the weight correctlyP(w)=5/7   Probability that she guesses both weight and height correctly(P(h)*P(w))=4/5 * 5/7= 20/35   Now the Q asks about the probability of this happening atleast once.   We calculate it by finding the probability of not being able to guess in any of the three occasions.   Probability of not being able to guess any no. of times =1-20/35=15/35=3/7   For all three occasions P(A)=3/7 * 3/7 * 3/7=27/343   Probability of the event happening atleast once=1- P(A)=1-27/343=316/343   Ans should be 316/343
Answer: E
In how many ways can 5 boysand 2 girls be arranged at a table if 2 girls are never together?  Choose the correct option
A) 230	B) 390	C) 398	D) 470	E) 480

Solution: Total ways of arranging 7 person in a circle = 6! = 720 ways   If we consider two women as one, then we have   5+1= 
  5+1 = 6
6 persons. Arranging these six persons in circle will take= 5! = 120 ways   And two women can arrange themselves in 2! ways   Total ways in which two women sit together in circle = 5!*2! = 240 ways   Total ways in which two women doesn’t sit together in circle = 6! - 5!*2! = 720 - 240= 
720 - 240 = 480
480 ways   480
Answer: E
Each of the positive integers a and c is a four-digit integer. If each of the digits 0 through 8 appears in one of these three integers, what is the minimum possible value of the sum of a and c?	Choose the correct choice from the following options
A) 3768  B) 3789  C) 3850  D) 3825  E) 3875

Solution: According to the stem we should use the digits 0 through 8 to construct 2 four-digit integers, so that their sum is as small as possible.   To minimize the sum, minimize the thousands digits of a and c, so make them 1 and 2.   Next, minimize hundreds digits. Make them 3 and 4 .   Next minimize 10's digit place by 5 and 6   Use the remaining digits (7,and 8) for units digits.   So, a would be 1357,and c would be 2468.   1357 + 2468= 
1357 + 2468 = 3_825
3825   Answer: 3825.
Answer: D
In how many ways can the letters of the CHEATER be arranged	Choose the correct choice from the following options.
A) 20160	B) 2520	C) 360	D) 80	E) None of these

Solution: Explanation:   As we can see the letter "E" is twice in given word, so Required Number   =7!/2!=7∗6∗5∗4∗3∗2!/2!=2520   Option 2520
Answer: B
All of the stocks on the over the counter market are designated by either a 4 letter or a 5 letter code that is created by using the 26 letters of the alphabet. Which of the following gives the maximum number of different stocks that can be designated with these codes?	Select.
A) 2 (26)^5
B) 26(26)^4
C) 27(26)^4
D) 26(26)^5
E) 27(26)^5

Solution: In 4-digit code {XXXX} each digit can take 26 values (as there are 26 letters), so total # of 4-digits code possible is 26^4;   The same for 5-digit code {XXXXX} again each digit can take 26 values (26 letters), so total # of 5-digits code possible is 26^5;   Total: 26^4+26^5=26^4(1+26)=27∗26^4   Answer: 27(26)^4.
Answer: C
For any positive integer n, the sum of the first n positive integers equals n(n+1)/2. What is the sum of all the even integers between 99 and 201? Choose the correct answer.
A) 7650	B) 9250	C) 12,650	D) 14,250	E) 15,150

Solution: 100 + 102 + ... + 200 =   100*51 + (2+4+...+100) =   100*51 + 2*(1+2+...+50) =   100*51 + 2(50)(51)/2 =   100*51 + 50*51 = 150(51) = 7650   The answer is 7650.
Answer: A
If x and y are positive integers such that x/y = 0.875, which of the following numbers could be y?  Select:	A) 3	B) 2	C) 4	D) 10	E) 8

Solution: With the given information, we are trying to find the value of y.   To achieve this we must convert the given decimal to a fraction and reduce it to it's lowest integer form.   Take the decimal x/y = 0.875 and because it's in the thousands decimal place, put the given value (x/y = 0.875/1) and multiply it by 1,000.   Take the resulting fraction (x/y = 875/1000) and reduce it to it's lowest form.   Both of the numbers are divisible by 125.   The result is x/y = 7/8.   Thus y = 8.   The correct answer is 8.
Answer: E
Find the surface area of a 10 cm x 4 cm x 3 cm brick.
Choose the correct choice from the following options
A) 84 sq.c.m.  B) 124 sq.cm  C) 164 sq.cm.  D) 180 sq.cm.  E) None

Solution: Sol.   Surface area = [2(10 x 4 + 4 x 3 + 10 x 3)] cm2   = (2 x 82) cm2   = 164 cm2.   Answer 164 sq.cm.
Answer: C
If X boxes of orange juice cost 300 cents, how much will Y boxes cost in dollars?
Choose one:
A) Y*3/x	B) 2Y/x	C) 5Y/x	D) Y*4/x	E) Y*6/x

Solution: X boxes of orange juice cost 300 cents or 3 dollars.   cost of orange juice = 3/x   Cost of Y orange juices = Y*3/x   Hence Y*3/xnswer : Y*3/x
Answer: A
Two trains of length 350 m and 250 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 36 kmph and 36 kmph. After how much time will the trains meet?
Select
A) 27/7 sec  B) 20/7 sec  C) 5 sec  D) 21/7 sec  E) 32/7 sec

Solution: They are moving in opposite directions, relative speed is equal to the sum of their speeds.   Relative speed = (36 + 36)*5/18 = 4*5= 
4*5 = 20
20 mps.   The time required= d/s = 100/20= 
100/20 = 5
5 sec.   Answer : 5 sec
Answer: C
Due to 10% decrease in the price of sugar and John can buy 5kg more sugar in Rs100 , then find the CP of sugar? Pick: A) Rs. 2(1/9) B) Rs. 2(2/9) C) Rs. 2(1/7) D) Rs. 3(2/9) E) Rs. 3(2/7)

Solution: Here r = 10 % ,x = 100 and A = 5 kg   Actual price of sugar = 10*100/((100-10 )*5) = Rs. 2(2/9)   Rs. 2(2/9)
Answer: B
Find out the wrong number in the series.
7, 8, 18, 57, 228, 1165, 6996 Choose the correct choice from the following choices
A) 8
B) 18
C) 57
D) 228
E) 238

Solution: The series is   7*1 + 1= 
7*1 + 1 = 8
8   8*2 + 2= 
8*2 + 2 = 18
18   18*3 + 3= 
18*3 + 3 = 57
57   57*4 + 4= 
57*4 + 4 = 232
232   232*5 + 5= 
232*5 + 5 = 1_165
1165   1165*6 + 6= 
1165*6 + 6 = 6_996
6996   so 228 is wrong   ANSWER:228
Answer: D
A certain car traveled twice as many miles from Town A to Town B as it did from Town B to Town C. From Town A to Town B, the car averaged 10 miles per gallon, and from Town B to Town C, the car averaged 18 miles per gallon. What is the average miles per gallon that the car achieved on its trip from Town A through Town B to Town C?
Choose the most appropriate option:
A) 13	B) 13.5	C) 14	D) 14.5	E) 15

Solution: Ans is 14.5   Given d_ab = 2*d_bc   let d_ab = d and d_bc = x so d=2x   for average miles per gallon = (d+x)/((d/10)+(x/18)) = 14.5 (formula avg speed = total distance/ total time)
Answer: D
Aishwarya’s mom was 28 years of age at the time of her birth, while her mom was 20 years old when her 2 years younger sister was born. The variance between the parents ages is :
Choose the correct answer.
A) 10 years  B) 11 years  C) 15 years  D) 9 years  E) 4 years

Solution: A   6 years   Mom’s age when Aishwarya’s sister was born = 20 years.   Dad’s age when Aishwarya’s sister was born = (28 + 2)= 
(28 + 2) = 30
30 years.   Needed Variance= (30 – 20) years = 10 years.   10 yearsnswer is 10 years
Answer: A
The difference between C.I. and S.I. on an amount of Rs. 15,000 for 2 years is Rs. 216. What is the rate of interest per annum?	Pick one:
A) 8  B) 2  C) 9  D) 4  E) 12

Solution: 12xplanation:   [15000 * (1 + R/100)2 - 15000] - (15000 * R * 2)/100 = 216   15000[(1 + R/100)2 - 1 - 2R/100] = 216   15000[(100 + R)2 - 10000 - 200R]/10000 = 216   R2 = (216 * 2)/3= 
(216 * 2)/3 = 144
144=> R = 12   Rate = 12%   Answer: Option 12
Answer: E
Two members of a club are to be selected to represent the club at a national meeting. if there are 91 different possible selections of the 2 members, how many members does the club have? Options:  A) 20  B) 14  C) 40  D) 57  E) 95

Solution: I have done this problem by substituting numbers   We have n!/2!(n-2)! = 91   or n(n-1)/2 = 182 or (n-14)(n+13) =0   n=14 satisfies the equation   14
Answer: B
A circular rim A having a diameter of 36 inches is rotating at the rate of x inches/min. Another circular rim B with a diameter of 84 inches is rotating at the rate of y inches/min. What is the value of y in terms of x, if both the rims reach their starting positions at the same time after every rotation.  Choose the correct answer
A) 3x/7
B) 4x/5
C) 7x/5
D) 5x/7
E) 3x/4

Solution: t = S1/V1 = S2/V2   or, 36/x = 84/y   or, y = 36x/84 = 3x/7 (3x/7nswer 3x/7)
Answer: A
When positive integer H is divided by positive integer B, the result is 4.35. Which of the following could be the reminder when H is divided by B?  Choose the most appropriate option.
A) 13
B) 14
C) 15
D) 16
E) 17

Solution: the remainder will be obtained from the decimal part when H is divided by B i.e. 0.35   0.35 = 35/100 = 7/20 so possible remainders are 7,14,21,28. Only option 14-14 satisfies this   PS: for 14-14 H=174 and 14=40
Answer: B
FEDERAL bank offers an interest of 5% per annum compounded annually on all its deposits. If $10,000 is deposited, what will be the ratio of the interest earned in the 4th year to the interest earned in the 5th year?  Choose the correct choice from the following options.
A) 1:5  B) 625:3125  C) 100:105  D) 100^4:105^4  E) 725:3225

Solution: Hi Bunuel,   Here is my approach: is this correct?   FEDERAL bank offers an interest of 5% per annum compounded annually on all its deposits   Interest earned in 4 year= 10000(1+0.05)^4   Interest earned in 5 year= 10000(1+0.05)^5   Ratio= {10000(1.05)^4}/{10000(1.05^5)} =>1.05^4/1.05^5 =>1/1.05 Multiplied by 100 in both numerator and denominator gives 100:105   Hence Ans:100:105
Answer: C
If the length of the sides of two cubes are in the ratio 4:1, what is the ratio of their total surface area?	Pick:
A) 4:1
B) 6:1
C) 8:1
D) 16:1
E) 64:1

Solution: Let x be the length of the small cube's side.   The total surface area of the small cube is 6x^2.   The total surface area of the large cube is 6(4x)^2=96x^2.   The ratio of surface areas is 16:1.   The answer is 16:1.
Answer: D
What is the leastvalue of x. So that 45x09 is divisible by 3?	Select the correct option.
A) 0	B) 5	C) 2	D) 6	E) 7

Solution: The sum of the digits of the number is divisible by 3, then the number is divisible by3.   4 + 5 + x + 0+ 9 = 18 + x   Least value of x may be 0   Therefore  18 + 0= 
 18 + 0 = 18
18 is divisible by 3.   0
Answer: A
Find the value of (X) in the given equation ?
35% of 1500 + X = 45% of 4200 – 320  Choose one.
A) 910
B) 980
C) 1012
D) 1045
E) None of these

Solution: Explanation:   35% of 1500 + X = 45% of 4200 – 320   (35/100 * 1500) + X = (45/100 * 4200) – 320   525 + X = 1890 – 320   X = 1890 – 320 – 525   X = 1890 – 845   X = 1045   ANSWER: 1045
Answer: D
A basketball coach will select the members of a five-player team from among 8 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 answer:	A) 1/9	B) 1/6	C) 2/9	D) 5/14	E) 1/3

Solution: you can but that will require more cases and will be time consuming.   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 = 6c3   total number of ways of selecting 5 players out of 8 = 8c5   probability = 6c3/8c5 = 5/14   5/14
Answer: D
A truck driver drove for 2 days. On the second day, he drove 3 hours longer and at an average speed of 15 miles per hour faster than he drove on the first day. If he drove a total of 900 miles and spent 21 hours driving during the 2 days, what was his average speed on the first day, in miles per hour? Pick one:  A) 25.0  B) 30.3  C) 34.2  D) 40.5  E) 45.4

Solution: Day 1   2t+3=21   t=9   Day 2   t+3   9+3= 
9+3 = 12
12   9r+12(r+15)=900   r=34.2   Answer:34.2
Answer: C
The ratio of the number of ladies to gents at a party was 1:2 but when 2 ladies and 2 gents left, the ratio became 1:3. How many people were at the party originally? Choose the correct option:
A) 22 B) 18 C) 12 D) 66 E) 99

Solution: x, 2x   (x-2):(2x-2) = 1:3   3x-6 = 2x-2   x = 4   x+2x = 3x   => 3*4= 
3*4 = 12
12   Answer: 12
Answer: C
The length of rectangle is thrice its breadth and its perimeter is 56 m, find the area of the rectangle?  Answers
A) 432 B) 212 C) 252 D) 992 E) 147

Solution: 2(3x + x) = 56   l = 21 b = 7   lb = 21* 7= 
21* 7 = 147
147   Answer:147
Answer: E
On a certain road, 10% of the motorists exceed the posted speed limit and receive speeding tickets, but 30% of the motorists who exceed the posted speed limit do not receive speeding tickets. What percent of the motorists on that road exceed the posted speed limit?	Answers
A) 10.5%
B) 12.5%
C) 14.3%
D) 22%
E) 30%

Solution: suppose there are X motorists.   10% of them exceeded the speed limit and received the ticket, i.e. X/10.   Again, suppose total no. of motorists who exceeded the speed limit are Y.   30% of Y exceeded the speed limit but didn't received the ticket, i.e. 3Y/10.   it means 7Y/10 received the ticket.   hence, 7Y/10 = X/10   or Y/X=1/7   or Y/X * 100= 1/7 * 100= 14.3%   14.3%
Answer: C
A cab driver 5 days income was $300, $150, $750, $200 , $600. Then his average income is?	Choose the correct choice from the following answers
A) $350  B) $375  C) $400  D) $425  E) $450

Solution: avg = sum of observations/number of observations   avg income=(300+150+750+200+600)/5= 
(300+150+750+200+600)/5 = 400
400   Answer is $400
Answer: C
A train 800 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
Choose the correct choice from the following options:
A) 2898	B) 277	C) 500	D) 297	E) 435

Solution: Speed = 78 * 5/18 = 65/3 m/sec.   Time = 1 min = 60 sec.   Let the length of the train be x meters.   Then, (800 + x)/60 = 65/3   x = 500 m.   Answer: 500
Answer: C
Assume the equation U = mgh. If m is quadrupled and h is halved, by what factor does U change? Choose the correct choice from the following answers: A) 3 B) 2 C) 4 D) 1/2 E) 16

Solution: The equation is U = mgh.   If m is quadrupled and h is halved, the equation becomes:   U = (4m)*g*(h/2)   U = 2mgh   Initially U was mgh and now it is 2mgh, therefore U increases by a factor of 2.   Answer = 2 = 2
Answer: B
3, 7, 15, 31, 63, ?  Answers.
A) 89  B) 127  C) 142  D) 158  E) 168

Solution: Each number in the series is the preceding number multiplied by 2 and then increased by 1.   Answer : 127.
Answer: B
The probability that event B occurs is 0.4, and the probability that events A and B both occur is 0.25. If the probability that either event A or event B occurs is 0.6, what is the probability that event A will occur?  Choose the most appropriate option:  A) 0.05  B) 0.45  C) 0.15  D) 0.5  E) 0.55

Solution: P(A or 0.45) = P (A) + P(0.45) - p(a n b)   0.6= 0.4 + P(A) - 0.25   P(A) = 0.45   Ans : 0.45
Answer: B
There are 7 magazines lying on a table; 4 are fashion magazines and the other 3 are sports magazines. If 3 magazines are to be selected at random from the 8 magazines, what is the probability that at least one of the fashion magazines will be selected?  Choose the correct answer:	A) 1/2	B) 7/8	C) 32/35	D) 11/12	E) 13/14

Solution: answer is 7/8   Total probability=8C3=48   4C3 +4C2*4C1+4C1*4C2=4+24+24=42   therefore the probability that at least one of the fashion magazines will be selected=42/48=7/8   7/8
Answer: B
Jamshid can paint a fence in 50 percent less time than Taimour can when each works alone. When they work together, they can paint the fence in 4 hours. How long would it take Taimour to paint the fence alone?
Choose the correct choice from the following answers.
A) 6 hours  B) 8 hours  C) 12 hours  D) 24 hours  E) 32 hours

Solution: I believe the answer is C. Please see below for explanation.   if Jamshid can paint a dence in 50 percent less time then Taimour we can infer the following rate J = 2T   if working together they can do the job in 8 hours we can infer 1 = 2T+T * 4 => 1/12   Working alone Taimour can do the job in 1 = 1/12 * hours => 12   Answer 12 hours
Answer: C
A case of 12 rolls of paper towels sells for $9. The cost of one roll sold individually is $1.What is the percent R of savings per roll for the 12-roll package over the cost of 12 rolls purchased individually? Choose the correct choice from the following answers
A) 9%
B) 11%
C) 15%
D) 25%
E) 90%

Solution: Cost of 12 paper towels individually = 1*12= 
1*12 = 12
12   Cost of a set of 12 paper towels= 9   Cost of one roll = 9/12 = 3/4= 
3/4 = 3/4 = around 0.75
0.75   Savings per roll= 1-.75= 
1-.75 = 0.25
0.25   % of savings is R= .25/ 1 *100= 
.25/ 1 *100 = 25
25% 25% is the answer.
Answer: D
Annika hikes at a constant rate of 12 minutes per kilometer. She has hiked 2.75 kilometers east from the start of a hiking trail when she realizes that she has to be back at the start of the trail in 40 minutes. If Annika continues east, then turns around and retraces her path to reach the start of the trail in exactly 40 minutes, for how many kilometers total did she hike east?
Choose the correct option:
A) 3.625 B) 3.5 C) 3 D) 3.04 E) 4

Solution: Set up two R x T =D cases.   1. 1/12 km/ min x T = 2.75   from which T= 33 mins.   We know total journey time now is  40 +33= 
 40 +33 = 73
73.   The rate is the same ie 1/12km/min.   set up second R x T=D case.   1/12 km/min x 73 = 6.08 km   Now the total journey would be halved as distance would be same in each direction. 6.08/2 =3.04   3.04.
Answer: D
A bulldog received 1,600 votes in a bulldog competition, giving him 20 percent of the votes. What percent of the remaining votes would he have needed to receive in order to win 32 percent of the total votes?	Choose the correct choice from the following options.
A) 10%  B) 12.5%  C) 15%  D) 17.5%  E) 20%

Solution: There were 80% of the votes remaining and he needed 12%/80% = 3/20 = 15%   The answer is 15%.
Answer: C
If DREAM is coded as 78026 and CHILD is coded as 53417,how can LEADER be coded ? Choose the correct answer
A) 102078  B) 102708  C) 102087  D) 102780  E) 102790

Solution: from given two words L=1 E=0 A=2 D=7 E=0 and R=8   ANSWER:102708
Answer: B