MU-NLPC/Calc-aqua_rat huggingface dataset:
Fresh grapes contains 90% water, and dry grapes contains 85% matter. To get 25 kgs of dry grapes who many kgs of fresh grapes have to be processed?
Choose one:	A) 212	B) 212.5	C) 213.5	D) 213	E) None

Solution: Ans. To solve problems which involves 2 variables, concentrate on the variable that won't change. In this problem we concentrate on the variable matter rather than water as it changes.   Let us take K kgs of fresh grapes. Now total mater in these grapes = K x 10%   In 25 kgs dry grapes total mater = 25 x 85%   We know that these two equation are equal so   K X 10% = 25 x 85%   Solving K = 212.5   Answer 212.5
Answer: B
When divided by 5, x has a remainder of 4 and y has a remainder of 1. Which of the following could be the remainder when x + y is divided by 10? Choose the correct choice from the following answers: A) 6 B) 7 C) 8 D) 9 E) 0

Solution: x = 5k+4 and y = 5j+1   x+y = 5(j+k) + 5   When divided by 10, the remainder is either 5 or 0.   The answer is 0.
Answer: E
A man can row downstream at 26 kmph and upstream at 10 kmph. Find the speed of the man in still water and the speed of stream respectively? Choose the correct choice.
A) 2, 9	B) 4, 9	C) 8, 9	D) 18, 8	E) 7, 9

Solution: Let the speed of the man in still water and speed of stream be x kmph and y kmph respectively.   Given x + y = 26 --- (1)   and x - y = 10 --- (2)   From (1) & (2) 2x = 36 => x = 18, y = 8.   Answer:18, 8
Answer: D
In how many ways can the letters D, I, S, I, N, O, I, C be arranged so that the three I's are not next to each other? Answers:
A) 36
B) 48
C) 72
D) 96
E) 6000

Solution: 1 D   3 I   1 S   1 N   1 O   1 C   Number of ways these letters can be arranged = 8!/3! (3! to account 3 same Is) = 6720   Consider 3 Is as 1 entity and thus the number of arrangements for (III)DSNOC = 6! = 720   Total allowed cases = 6720-720= 
6720-720 = 6_000
6000   6000 is the correct answer.
Answer: E
The greatest possible length which can be used to measure exactly the length 7 m, 3 m 85 cm, 12 m 95 cm is : Select
A) 15 cm  B) 25 cm  C) 35 cm  D) 42 cm  E) 62 cm

Solution: Solution   Required length = H.C.F. of 700 cm, 385 cm and 1295 cm = 35 cm. Answer 35 cm
Answer: C
Dividing by 3⁄9 and then multiplying by 5⁄6 is the same as dividing by what number?	Choose the most appropriate option: A) 31⁄5 B) 16⁄5 C) 20⁄9 D) 5/2 E) 5⁄16

Solution: say X/3/9*5/6 = x*9/3*5/6 = x*5/2   5/2
Answer: D
A sales representative receives a salary of $200 per week and earns a commission of 20% on all sales she makes. How many dollars’ worth of sales does she need to make in order to bring her total weekly income to $600?
Select the correct option:
A) $3,000	B) $2,000	C) $4,000	D) $4,150	E) $5,000

Solution: We're told that a sales representative receives a salary of $200 per week and earns a commission of 20% on all sales she makes. We're asked how many dollars’ worth of sales will bring her total weekly income to $600.   Since the salesperson receives a $200 salary, the remaining $400 has to be accounted for by the 20% commission. Since those numbers are rather specific, we're likely dealing with a 'round number' for total sales.   Let's TEST Answer C: $4,000   Since 20% of $1,000 = $100   20% of $4,000 = 4($200) = $800   This is TOO HIGH (it's supposed to be $400), so we need a LOWER total sales figure.   Let's TEST Answer B: $2,000   Since 20% of $1,000 = $200   20% of $2,000 = 2($200) = $400   This is an exact MATCH for what we were told, so this MUST be the answer.   Final Answer:   $2,000
Answer: B
Nr Books bought Nr of People
3 2
5 5
6 1
7 3
8 2
What is the median of books bought per person?
Pick:	A) a) 5	B) b) 7	C) c) 9	D) d) 10	E) e) 18

Solution: 3,3,5,5,5,5,5,6,7,7,7,8,8   so you will observer that the median of the list is 5.   a) 5ns a) 5
Answer: A
A license plate in the country Kerrania consists of four digits followed by two letters. The letters A, B, and C are used only by government vehicles while the letters D through Z are used by non-government vehicles. Kerrania's intelligence agency has recently captured a message from the country Gonzalia indicating that an electronic transmitter has been installed in a Kerrania government vehicle with a license plate starting with 79. If it takes the police 10 minutes to inspect each vehicle, what is the probability that the police will find the transmitter within three hours? Choose the correct choice from the following:
A) 18/79	B) 1/6	C) 1/25	D) 1/50	E) 1/900

Solution: If it takes 10 minutes to inspect one vehicle, the # of vehicles that can be inspected in 3 hours (180 minutes) = 180/10= 
180/10 = 18
18. Hence, for calculating the probability that the police will find the transmitter within three hours, the favorable cases= 18. Now, we need to figure out the total # of cases.   The total # of cases = Total # of such cars possible. The details given about the car is that it starts with 79, which leaves 2 more digits, both of which can be filled by all 10 numbers (0-9). In addition, we have 3 letters, each of which can be filled by any from the set {A,B,C}. Hence the total # of such cars possible = 10*10*3*3= 
10*10*3*3 = 900
900   So, the probability that the police will find the transmitter within three hours= 18/900 = 1/50. Option 1/50
Answer: D
From January 1, 2015, to January 1, 2017, the number of people enrolled in health maintenance organizations increased by 8 percent. The enrollment on January 1, 2017, was 45 million. How many million people, to the nearest million, were enrolled in health maintenance organizations on January 1, 2015 ?
Choices:
A) 38	B) 39	C) 40	D) 41	E) 42

Solution: Soln:-   8x=45 --> 27/25*x=45 --> x=45*25/27=125/3=~42.   Answer: 42.
Answer: E
In an election a candidate who gets 60% of the votes is elected by a majority of 1200 votes. What is the total number of votes polled?	Select the correct option: A) 4500 B) 5200 C) 6900 D) 7520 E) 6000

Solution: Let the total number of votes polled be x   Then, votes polled by other candidate = (100-60)= 
(100-60) = 40
40% of x   60% of x - 40% of x= 1200   20x/100 = 1200   x = 1200*100/20= 
1200*100/20 = 6_000
6000   Answer is 6000
Answer: E
A man can row upstream at 20 kmph and downstream at 60 kmph, and then find the speed of the man in still water? Options:	A) 32 kmph	B) 34 kmph	C) 30 kmph	D) 45 kmph	E) 40 kmph

Solution: US = 20   DS = 60   M = (20 + 60)/2= 
(20 + 60)/2 = 40
40   Answer:40 kmph
Answer: E
If m^(-1) = -1/2 then m^(-2) is equal to
Pick
A) -9 B) -3 C) -1/9 D) 1/4 E) 9

Solution: You made a mistake here.   You're right till   m^-2 = 1/m^2 and m^-1 = 1/m^1 = 1/m   given m^-1 1/  1= 
1/  1 = 1
1/m   given m^-1= -(1/2) so, 1/m = -(1/2) solving this, m = -2   Now, m^-2 = 1/m^2 = 1/(-2)^2 = 1/4 ANS 1/4
Answer: D
If the price of sugar rises from Rs. 2 per kg to Rs. 5 per kg, a person, to have no increase in the expenditure on sugar, will have to reduce his consumption of sugar by  Choices:
A) 15%  B) 20%  C) 25%  D) 30%  E) 60%

Solution: Sol.   Let the original consumption = 100 kg and new consumption = x kg.   So, 100 x 2 = x × 5 = x = 40 kg.   ∴ Reduction in consumption = 60%.   Answer 60%
Answer: E
A man can row upstream at 25 kmph and downstream at 35 kmph, and then find the speed of the man in still water?	Pick one
A) 60 kmph B) 10 kmph C) 30 kmph D) 5 kmph E) 15 kmph

Solution: US = 25   DS = 35   M = (35 + 25)/2= 
(35 + 25)/2 = 30
30   ANSWER:30 kmph
Answer: C
A big container is 35% full with water. If 16 liters of water is added, the container becomes 3/4 full. What is the capacity of the big container in liters?
Choose the correct choice from the following answers
A) 32  B) 40  C) 48  D) 54  E) 60

Solution: 16 liters is 40% of the capacity C.   16 = 0.4C   C = 16/0.4= 
16/0.4 = 40
40 liters.   The answer is 40.
Answer: B
A man purchased 3 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?  Choose the correct choice from the following choices.
A) Rs 420  B) Rs 550  C) Rs 490  D) Rs 450  E) Rs 457

Solution: 10 * 150= 
10 * 150 = 1_500
1500   3 * 100 + 5 * 150= 
3 * 100 + 5 * 150 = 1_050
1050   1500 – 1050= 450   Answer:Rs 450
Answer: D
In a certain deck of cards, each card has a positive integer written on it. In a multiplication game, a child draws a card and multiples the integer on the card by the next larger integer. If each possible product is between 27 and 200, then the least and greatest integers on the card could be	Pick:
A) 3 and 15 B) 3 and 20 C) 5 and 13 D) 4 and 14 E) 5 and 14

Solution: There child draws one number then multiplies that number by the number above it. The number must be more than 27 and less than 200.   x * (x+1)   Answer gives us choices of 3,4 and 5 (JUST ABOVE 15)   3*(3+1)= 
3*(3+1) = 12
12 <- WRONG   4*(4+1)= 
4*(4+1) = 20
20 <- WRONG   5*(5+1)= 
5*(5+1) = 30
30 <- CORRECT AS IT IS ABOVE 27   Answer gives us choices 13,14,15 and 20 (BELOW 200)   Immediately by knowing squares you should be able to rule out 15 (225) and 20 (400). And common sense dictates that as 14^2 is 196 that 14*(14+1) is above 200.   13*(13+1)= 
13*(13+1) = 182
182 <- 5 and 13ORRE5 and 13T   Answer is 5 and 13) 5 and 13
Answer: C
The perimeter of a semi circle is 144 cm then the radius is?
Pick one
A) 22	B) 28	C) 99	D) 77	E) 16

Solution: 36/7 r = 144 => r = 28   Answer: 28
Answer: B
The product X of two prime numbers is between 17 and 55. If one of the prime numbers is greater than 2 but less than 6 and the other is greater than 11 but less than 25, then X =  Choose one:	A) 18	B) 29	C) 37	D) 44	E) 65

Solution: Option BC can be ruled out as they themselves are prime numbers   18 = 2*9 = 3*6 >> Ignore   44 = 2 * 22 = 4 * 11 >> Ignore   65 = 5*13= 
5*13 = 65
65
Answer: E
The average of first seven multiples of 4 is: Choose the correct choice
A) 9 B) 16 C) 15 D) 8 E) 10

Solution: Explanation :   (4(1+2+3+4+5+6+7)/7   = 4x28/7   = 16   Answer : 16
Answer: B
A certain car increased its average speed by 3 miles per hour in each successive 5-minute interval after the first interval. If in the first 5-minute interval its average speed was 20 miles per hour, how many miles did the car travel in the third 5-minute interval? Select.
A) 1.0 B) 1.5 C) 2.0 D) 2.5 E) 3.0

Solution: In the third time interval the average speed of the car was 20+3+5= 
20+3+5 = 28
28 miles per hour;   In 5 minutes (1/12 hour) at that speed car would travel 28*1/12=2 miles.   Answer: 2.0.
Answer: C
x^2 + hx + 72 = 0 has two distinct integer roots; how many values are possible for h?	Choose the most appropriate option
A) 3	B) 6	C) 8	D) 12	E) 24

Solution: For a quadratic equation ax^2+hx+c=0, we know that -h/a is sum of roots and c/a is product of roots.   The quadratic equation here is x^2 + hx + 72 = 0, where product of roots is 72.   If we find all the factors of 72, we have the answer.   By prime factorization, we get 72= 2^3*3^2.   We know that total factors are  (3+1)*(2+1)= 
 (3+1)*(2+1) = 12
12 (Reason: with 2^n, we have n+1 possibilities. n^0 to n^n. so n+1)=12
Answer: D
Jacob is now 12 years younger than Michael. If 11 years from now Michael will be twice as old as Jacob, how old will Jacob be in 4 years?	Pick one
A) 3 B) 7 C) 15 D) 5 E) 25

Solution: Jacob=x years, Mike=x+12 years   11 years from now,   2(x+11)=x+23   2x+22=x+23   x=1   x+4=5 years   Answer 5
Answer: D
A walks at 30 kmph and 30 hours after his start, B cycles after him at 45 kmph. How far from the start does B catch up with A?  Choose the correct option
A) 1200km  B) 1500km  C) 2000km  D) 2700km  E) 3600km

Solution: Suppose after x km from the start B catches up with A. Then, the difference in the time taken by A to cover x km and that taken by B to cover x km is 30 hours.   x/30 - x/45= 30   x = 2700 km   Answer is 2700km
Answer: D
Seven men can complete a work in 12 days. They started the work and after 5 days, two men left. In how many days will the work be completed by the remaining men? Choose the correct choice:
A) 5 days  B) 6 days  C) 9 days  D) 10 days  E) None of these

Solution: 7 x 12 men complete the work in 1 day   Therefore, 1 man’s 1 day’s work = 1/84   7 men’s 5 days work = 5/12   Remaining work = 1- 5/12 = 7/12   5 men’s 1 day’s work = 5/84   5/84 work is don by them in 1 day   7/12 work is done by them in ((84/5) x (7/12)) = 49/5 days = 9 4/5 days   ANSWNone of theseR:None of these
Answer: E
Line m lies in the xy-plane. The y-intercept of line m is -1, and line m passes through the midpoint of the line segment whose endpoints are (2, 4) and (6, -8). What is the slope of line m ?	Choose the correct choice from the following
A) -3
B) -1
C) -1/3
D) 0
E) Undefined

Solution: Ans: E   Solution: line m goes through midpoint of (2, 4) and (6, -8). midpoint is (4,-2)   as we can see that the y axis of intercept point is (0,-1) means line m is parallel to x axis   slope M= 0   Ans: Undefined
Answer: E
The population of locusts in a certain swarm doubles every two hours. If 4 hours ago there were 1,000 locusts in the swarm, in approximately how many hours will the swarm population exceed 128,000 locusts?	Choose the most appropriate option:
A) 9
B) 6
C) 8
D) 15
E) 10

Solution: - 4 hours: 1,000   -2 hours: 2,000   Now: 4,000   + 2 hours: 8,000   + 4 hours: 16,000   + 6 hours: 32,000   + 8 hours: 64,000   + 10 hours: 128,000   Answer : 10
Answer: E
The length, breadth and height of a room are in the ratio 4: 6 : 4. If the breadth and height are halved while the length is doubled, then the total area of the four walls of the room will
Choose the correct choice from the following answers:	A) (a) remain the same	B) (b) decrease by 13.64%	C) (c) decrease by 15%	D) (d) decrease by 81.82%	E) (e) decrease by 30%

Solution: Length (L) = 4   Breadth (B) = 6   Height (H) = 4   Total Area of Walls = 2(BH + LH) = 2*(6*4 + 4*4) = 2*(24+16)= 
2*(24+16) = 80
80   Then, Finally   Length (L)= 2*4= 
2*4 = 8
8   Breadth (B)= 6/2= 
6/2 = 3
3   Height (H)= 4/2= 
4/2 = 2
2   Total Area of Walls= 2(BH + LH) = 2*(3*2 + 8*2) = 2*(6+16)= 
2*(6+16) = 44
44   % change in Area of four walls= (Final Area-Initial Area)*100 /Initial Area   i.e. % change in Area of four walls = (44-80)*100 /44=- 81.82% ((d) decrease by 81.82%ecrease)   Answer: Option (d) decrease by 81.82%
Answer: D
A school having four classes only have student strength of 10, 20, 30 and 40 respectively. The pass percentages of these classes are 20%, 30%, 60% and 100% respectively. What is the pass percentage for the entire school?
Pick.
A) 56%
B) 76%
C) 34%
D) 66%
E) 46%

Solution: 20% of 10+30% of 20+60% of 30+100% of 40   =2+6+18+40= 
2+6+18+40 = 66
now 66 of 100= 66%   ANSWER:66%
Answer: D
For how many integers n is 2^n = n^2 ?
Options:  A) None  B) One  C) Two  D) Three  E) More than Three

Solution: => 2^n = n^2   Taking nth root on both sides   => 2 = (n^2)^1/n   => 2 = n ^ 2/n   Lets consider positive even multiples of 2 for n (since LHS = 2)   For n = 2   => 2 = 2 ^ 2/2 - First value that satisfier   For n = 4   => 2 = 4 ^ 2/4 - Second value that satisfier   For n = 8   => 2 = 8 ^ 2/8 - Does Not satisfy   For n = 16   => 2 = 16 ^ 2/16 - Does Not satisfy   Two values. Ans = Two
Answer: C
A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform? Choose the correct choice from the following answers.
A) 287m B) 278m C) 350m D) 228m E) 282m

Solution: Speed = [300 / 18] m/sec = 50/3 m/sec.   Let the length of the platform be x meters.   Then, x + 300 / 39   = 50/3   3(x + 300)   = 1950 è x   = 350m.   Answer:350m
Answer: C
In 1990 a total of 100 earthquakes occurred worldwide, some but not all of which occurred in Asia. If 25 of these earthquakes occurred in Asia, which of the following represents the ratio of the number of earthquakes that occurred in Asia to the number that did NOT occur in Asia?  Choose the correct choice from the following
A) 2/8
B) 1/3
C) 2/7
D) 1/4
E) 1/25

Solution: We're given a couple of facts to work with:   1) There were a total of 100 earthquakes   2) Of those earthquakes, 25 of them occurred in Asia   We're asked for the ratio of the number of earthquakes that occurred IN ASIA to the number of earthquakes that DID NOT occur in Asia.   Thus, there were 75 earthquakes that DID NOT occur in Asia....   The answer to the question is 25/75 ie. 1/3   Answer : 1/3
Answer: B
The price of a certain painting increased by 25% during the first year and decreased by 15% during the second year. The price of the painting at the end of the 2-year period was what percent of the original price?  Pick one.
A) 109%	B) 106.25%	C) 120%	D) 115%	E) 110%

Solution: Easiest thing to do: Assume that price is 100   Price at the end of yr 1: 100+ 25 = 125   Price at the end of year 2 = 125 - 125*0.15 = 125*0.85= 
125*0.85 = 106.25
106.25   Hence required answer= (106.25/100)*100= 
(106.25/100)*100 = 106.25
106.25%   Answer is 106.25%.
Answer: B
If a man walks to his office at ¾ of his usual rate, he reaches office 1/3 of an hour late than usual. What is his usual time to reach office?
Choose the correct option.
A) 1 hour  B) 6 hours  C) 8 hours  D) 2 hours  E) 9 hours

Solution: Speed Ratio = 1:3/4 = 4:3   Time Ratio = 3:4   1 -------- 1/3   3 --------- ? è   1 hour   1 hournswer:1 hour
Answer: A
7 books consisting of 3 financial management, 2 marketing management and 2 system management are placed on a shelf at random order. What is the probability that the books of each kind are all together.	Pick.
A) 1/1155
B) 1/5040
C) 1/2255
D) 1/1355
E) 1/1455

Solution: Since the denominator will be 7! . And there is no way to divide 7 from numerator and denominator. Use a multiple of 7 in the denominator only answer   1/5040
Answer: B
walking at ¾ of his usual speed ,a man is late by 2 ½ hr.
the usual time is.
Choose the correct option
A) 7 B) 8 ½ C) 7 ½ D) 7 ¾ E) 9 ½

Solution: Usual speed = S   Usual time = T   Distance = D   New Speed is ¾ S   New time is 4/3 T   4/3 T – T = 5/2   T=15/2 = 7 ½   Answer is 7 ½.
Answer: C
Before being simplified, the instructions for computing income tax in country R were to add 3 percent of one's annual income to the average(arithmetic mean) of 100 units of Country R's currency and 1 percent of one's annual income. Which of the following represents the simplified formula for computing the income tax, in country R's currency, for a person in that country whose annual income is I?	Choose one
A) 50 + I/200  B) 50 + 7I/200  C) 50+ I/40  D) 100+ I/50  E) 100+ 3I/100

Solution: Income of a person is I   3 percent of ones annual income = 3I/100   100 units of Country R's currency = 100   1 percent of one's annual income = I/100   Average of 100 units and 1 percent annual income = 50 + I/200   Sum of average and 3 percent = 3I/100 + 50 + I/200   = 50 + 7I/200   = 50 + 7I/200   So answer is 50 + 7I/200.
Answer: B
Twenty times a positive integer is more than its square by 96, then the positive integer is  Choose one
A) 13
B) 10
C) 11
D) 12
E) 14

Solution: Explanation:   Let the number be x. Then,   20x = x2 + 96   => x2 - 20x + 96 = 0   =>(x - 12)(x - 8) = 0   => x = 8 or 12   Answer: Option 12
Answer: D
X and Y are integers, X is even and negative, Y is odd and positive. Which of the following could be false?
1. (X + Y) is an odd number.
2. Y^(X + Y) is not an integer.
3. X^Y is a positive number.
Choose one:  A) 1 and 2 only.  B) 3 only.  C) 1 and 3 only.  D) 2 and 3 only.  E) 1, 2 and 3.

Solution: Statement I is TRUE   Statement II is TRUE   Statement III is not TRUE   1 and 2 only.nswer : 1 and 2 only.
Answer: A
1/0.02 is equal to Choose one
A) 50	B) 2.5	C) 25	D) .25	E) None of these

Solution: Explanation:   1/0.02 = (1 * 100)/2 = 100/2= 
100/2 = 50
50   Option 50
Answer: A
Eighteen years ago,a father was three times as old as his son.Now the father is only twice as old as his son. Then the sum of the present ages of the son and the father is :
Choose the correct choice from the following answers
A) 120	B) 76	C) 108	D) 105	E) 86

Solution: Let the present ages of the father and son be 2x and x years respectively.   then,(2x-18)=3 (x-18)   x=36.   Required sum =(2x+x)=3x=108 years.   Answer is 108
Answer: C
In 1995, the Johnsons spent $800 on the family’s water bills. Anticipating that water rates would increase in 1996 by 50%, the Johnsons cut back their water usage. By how much must the Johnsons have reduced their 1996 water usage to pay exactly the same amount E in 1996 as they paid in 1995? Options: A) 33 1⁄3% B) 40% C) 50% D) 66 2⁄3% E) 100%

Solution: water rate increases by 50 % in 1996 means 150% of rate in 1995. to pay exactly the same amount E in 1996 as they paid in 1995, water use should decrease in the same ratio   150-> 100 means 1/3 rd= 33(1/3) %.33 1⁄3%
Answer: A
At Parkin's firm's annual revenue grows twice as fast as its costs. In 2007 it operated at a $1000 loss, it broke even in 2008, and in 2009 its revenues were 44% higher than in 2007. If the firm's revenues and costs grew at a constant rate over this period, what was its profit in 2009?  Choose the most appropriate option: A) 700 B) 1000 C) 1300 D) 1600 E) 2000

Solution: At Parkin's firm's annual revenue grows twice as fast as its costs. First solve for how much revenue is increasing each year:   R2008= R2007*(1+x)   R2009= R2007*(1+x)^2=1.44*R2007   (1+x)^2 = 1.44   1+x=1.2   x=0.2 aka revenue increases 20% each year and cost increases 10% annually   Next solve for R2007and 13002007:   R2007= 13002007- 1000   1.2*R2007- 1.1*13002007= 0   1.2*[13002007- 1000] - 1.1*13002007= 0   0.1*13002007= 1,200   13002007= 12,000   R2007= 11,000   Finally find 2009 profits:   Profit2009= 1.44*11,000 - 1.21*12,000   Profit2009= 15,840 - 14,520   Profit2009= 1320   Answer: 1300
Answer: C
if a person cover 3/5 part of his journey by train,7/20 part of his journey by bus and rest 6.5 km. by walk.what is total distance of his journey?	Choose one.
A) 65 km	B) 100 km	C) 120 km	D) 130 km	E) 75 km

Solution: let total distance be=x km.then,   3x/5+7x/20+6.5=x;12x+7x+130=20x;x=130   hence total distance=130 km.   answer 130 km
Answer: D
Find the number that fits somewhere into the middle of the series. Some of the items involve both numbers and letters
Look at this series: F2, __, D8, C16, B32, ... What number should fill the blank?	Choices:
A) C6	B) F3	C) B5	D) A1	E) E4

Solution: E4   E44   The letters decrease by 1; the numbers are multiplied by 2.
Answer: E
Johnie went up a certain hill at the rate of one and a half kilometers per hour and came down at the rate of four and a half kilometers per hour, so that it took just four hours to make the double journey. How far was it to the top of the hill ?	Choose the correct choice:  A) 3 km  B) 6 km  C) 4.5 km  D) km  E) none of the above

Solution: Assume the distance to the top of the hill (1 way) as: x   Now, speed=distance/time => time=distance/speed   So, for the first half of the journey, he traveled uphill at 1.5km/hr, so the time taken for the first leg of the journey is: x/1.5.   For the second half, he traveled downhill at 4.5km/hr, so the time taken for the second leg of the journey is: x/4.5   Now, the total time for the trip is given as 4 hrs.   Equating, (x/1.5)+(x/4.5)=4 => (3x+x)/4.5=4 => x=4.5 km   So, the distance one side is = 4.5 km.   The OA mentioned is 9km, which is exactly double of this distance, i.e., the total distance traveled during both legs of the journey, but the question only asked for the distance till the top of the hill, i.e., one way, so the answer should be 4.5km   4.5 kman someone assist me in understanding where am I wrong here?
Answer: C
A man sells a horse for Rs. 620 and loses something, if he had sold it for Rs.860 , his gain would have been double the former loss. Find the cost price of the horse?  Choose the most appropriate option.
A) 27
B) 98
C) 27
D) 80
E) 71

Solution: CP = SP + 1CP = SP - g   620 + x = 860 - 2x   3x = 240 => x = 80   Answer:80
Answer: D
If 50% of 100 is greater than 20% of a number by 47, what is the number? Choose the correct answer.
A) 60 B) 30 C) 15 D) 75 E) 100

Solution: Explanation:   50/100 * 100 - 20/100 * x = 47   50 - 20/100 * x = 47   3 = 20/100 * x     3 * 100 / 20= 
  3 * 100 / 20 = 15
x   15= x   Answer: Option 15
Answer: C