MU-NLPC/Calc-aqua_rat huggingface dataset:
In a camp, there is a meal for 160 men or 200 children. If 150 children have taken the meal, how many
men will be catered to with the remaining meal ? Pick:
A) 38 men	B) 32 men	C) 34 men	D) 40 men	E) None of these

Solution: Explanation:   There is meal for 200 children. 150 children have taken the meal.   Remaining meal is to be catered to 50 children.   Now, 200 children = 160 men   So, 50 Children = 160/200 * 50= 
160/200 * 50 = 40
40 men   Answer: 40 men
Answer: D
A group of students was interviewed for that if it was asked whether or not they speak French and / or English. Among those who speak French, 25 speak English well, while 65 of them do not speak English. If 55% of students do not speak French, how many students were surveyed?	Select:
A) 190  B) 175  C) 225  D) 200  E) 250

Solution: Number of students who speak French are 65 + 25= 
65 + 25 = 90
90   Of total students, the percentage of students who do not speak French was 55% --> percentage of who do is 45%   90-------45%   x ------- 100%   x= 90*100/45= 
90*100/45 = 200
200= number of all students   Answer is 200
Answer: D
Each person who attended a company meeting was either a stockholder in the company, an employee of the company, or both. If 61 percent of those who attended the meeting were stockholders and 47 percent were employees, what percent were stockholders who were not employees? Pick.
A) 34% B) 38% C) 45% D) 53% E) 62%

Solution: Let M represent the number of meeting attendees. Then, since 61% of M or 0.61M   were stockholders and 47% of M or 0.47M were employees, it follows that 0.61M +   0.47M = 1.08M were either stockholders, employees, or both. Since 1.08M exceeds   M, the excess 1.08M − M = 0.08M must be the number of attendees who were both   stockholders and employees, leaving the rest 0.61M − 0.08M = 0.53M, or 53%, of   the meeting attendees to be stockholders but not employees.   The correct answer is 53%.
Answer: D
A manufacturer produces a certain men's athletic shoe in integer sizes from 8 to 17. For this particular shoe, each unit increase in size corresponds to a 1/5-inch increase in the length of the shoe. If the largest size of this shoe is 30% longer than the smallest size, how long, in inches, is the shoe in size 15? Choose the correct option:  A) 6.8  B) 7.4  C) 7.7  D) 8.2  E) 8.6

Solution: Let x be the length of the size 8 shoe.   Then 0.3x = 9/5   x = 90/15= 
90/15 = 6
6 inches   The size 15 shoe has a length of  6 + 7/5= 
 6 + 7/5 = 37/5 = around 7.4
7.4 inches   The answer is 7.4.
Answer: B
The total population of city A and city B is 5000 more than the total population of city B and city C. How much lesser is the population in city C as compared to city A? Pick.
A) 8500 B) 3500 C) 4500 D) 5000 E) 1500

Solution: (A + B) - (B + C) = 5000   A - C = 5000   Answer: 5000
Answer: D
Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is?	Choose the correct choice from the following choices
A) 17/28
B) 17/21
C) 17/23
D) 17/20
E) 17/22

Solution: n(S) = 20   n(Even no) = 10 = n(E)   n(Prime no) = 8 = n(P)   P(EᴜP) = 10/20 + 8/20 - 1/20 = 17/20   Answer:17/20
Answer: D
The average of 9 numbers is 8 and the average of 7 other numbers is 8. What is the average of all 16 numbers?	Choose the correct choice from the following choices:
A) 9
B) 8
C) 7 7⁄8
D) 7 1⁄2
E) 7 1⁄4

Solution: The average of 9 numbers is 8....   The sum of those numbers is (9)(8) = 72.   The average of 7 other numbers is 8....   The sum of those numbers is (7)(8) = 56   The sum of ALL 16 numbers is 72+56= 
72+56 = 128
128. The average of those numbers is 128/16= 
128/16 = 8
8 .   Final Answer:   [Reveal]Spoiler:   8
Answer: B
In Arun's opinion, his weight is greater than 63 kg but leas than 72 kg. His brother does not agree with Arun and he thinks that Arun's weight is greater than 60 kg but less than 70 kg. His mother's view is that his weight cannot be greater than 66 kg. If all of them are correct in their estimation, what is the average of diferent probable weights of Arun ?
Choose the correct choice:
A) 86.5 kg B) 64.5 kg C) 46.5 kg D) 26.5 kg E) 16.5 kg

Solution: Let Arun's weight be X kg.   According to Arun, 63 < X < 72.   According to Arun's brother, 60 < X < 70.   According to Arun's mother, X < 66.   The values satisfying all the above conditions are 64 and 65.   Required average = (64 + 65) / 2= 
(64 + 65) / 2 = 129/2 = around 64.5
64.5 kg   Answer: 64.5 kg
Answer: B
Incomes of two companies A and B are in the ratio of 5 : 8. Had the income of company A been more by 45 lakh, the ratio of their incomes would have been 5 : 4. What is the income of company B? Select:
A) 80 lakh	B) 50 lakh	C) 72 lakh	D) 60 lakh	E) None of these

Solution: Let the incomes of two companies A and B be 5x and 8x respectively.   From the question,   5x+45/8x=5/4 ⇒ 20x + 180 = 40x   ∴ x = 9   ∴ Income of company B = 8x = 72 lakh   Answer 72 lakh
Answer: C
3 mangoes and 4 apples costs Rs.85. 5 apples and 6 peaches costs 122. 6 mangoes and 2 peaches costs Rs.144. What is the combined price of 1 apple, 1 peach, and 1 mango.  Choose the correct answer.
A) 38
B) 92
C) 72
D) 37
E) 28

Solution: Sol: Note: It is 114 not 144.   3m + 4a = 85 ..(1)   5a + 6p = 122 ..(2)   6m + 2p = 114 ..(3)   (1) x 2 => 6m + 8a = 170   (3) => 6m + 2p = 114   Solving we get 8a - 2p = 56 ..(4)   (2) => 5a + 6p = 122   3 x (4) = 24a - 6p = 168   Solving we get a = 10, p = 12, m = 15   So a + p + m = 37   Answer:37
Answer: D
Ravi's brother is 3 years senior to him. His father was 28 years of age when his sister was born while his mother was 26 years of age when he was born. If his sister was 4 years of age when his brother was born, what were the ages of Ravi's father and mother respectively when his brother was born ? Choose the correct choice from the following answers:	A) 32 years, 23 years	B) 32 years, 29 years	C) 35 years, 29 years	D) 35 years, 33 years	E) 34 years, 33 years

Solution: father edge is 28 when his sister was born and when his brother is born sister was 4 year old, therefor age of father at the time of his brother birth is 28=4=32   now when ravi born his mother was at 26 and ravi brother is 3 year elder than ravi so age of mother at the time of ravi's brother bith =26-3= 
26-3 = 23
23   32 years, 23 yearsNSWER:32 years, 23 years
Answer: A
If $800 is deposited into a savings account at an annual interest rate of 3% that compounds monthly, what is the value of the investment after 5 years?
Choose one.
A) $950.00 B) $929.29 C) $973.25 D) $100.25 E) $110.00

Solution: Using CI Formula:   $950.00=P(1+r/n)^n*t   $950.00=800(1+3/5)^3*5   $950.00=929.29
Answer: A
Find the angle between the hour hand and the minute hand of a clock when the time is 3.25
Choose the correct option
A) 47.5 degrees B) 67.5 degrees C) 27.5 degrees D) 87.5 degrees E) 97.5 degrees

Solution: At 3 O'clock, Minute hand is at 12 while the Hour hand is at 3. Again the minute hand has to sweep through ( 30 x 5 ) ie 150° for reaching the figure 5 to show 25 mins.   Simultaneously the Hour hand will also rotate for 25 mins. Thus starting from the mark, 3 the hour hand will cover an angle = (25 x 30) / 60 = 12.5°   Hence, 47.5 degreesngle between Hour and the Minute hand   = ( 60 - 12.5 )= 
( 60 - 12.5 ) = 47.5
47.5°   47.5 degreesnswer: 47.5 degrees
Answer: A
If S is the sum of the reciprocals of the consecutive integers from 41 to 50, inclusive, which of the following is less than S?
I. 1/4
II. 1/5
III. 1/6
IV. 1/4>S >1/5
Pick:  A) I  B) II  C) III  D) I&II  E) IV

Solution: Since we summarize the reciprocals from 50 to 41, we can say also that we add ten numbers who are all (with one exception 1/50) greater than 1/50, so that the sum must be greater than 1/5.   On the other side we can say that we add the reciprocals from 41 to 50, so that the sum has to be less than the sum of ten times 1/41.   sum has to be greater than 1/5 and less than 1/4   IV
Answer: E
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 10%?
Pick one:	A) 20%	B) 29%	C) 10%	D) 35%	E) 90%

Solution: SP2 = 2/3 SP1   CP = 100   SP2 = 90   2/3 SP1 = 90   SP1 = 135   100 --- 35 => 35%   Answer: 35%
Answer: D
A man sells two articles for Rs.3250 each and he gains 40% on the first and loses 40% on the next. Find his total gain or loss?  Pick.
A) 19%loss  B) 12%loss  C) 16%loss  D) 18%loss  E) 11%loss

Solution: Explanation:   (40*40)/100= 
(40*40)/100 = 16
16%loss   Answer:16%loss
Answer: C
Which of the following is a prime number ?
Choose the correct option:  A) 81  B) 90  C) 97  D) 99  E) None

Solution: Explanation:   Clearly, 97 is a prime number.   97)
Answer: C
In a partnership between A, B and C. A's capital is Rs.5000. If his share of a profit of Rs.800 is Rs.200 and C's share is Rs.130, what is B's capital?	Pick:  A) 28829  B) 27769  C) 26552  D) 11750  E) 29972

Solution: 200 + 130= 
200 + 130 = 330
330   800 - 330= 
800 - 330 = 470
470   200 ---- 5000   470 ---- ?=> 11750   Answer:11750
Answer: D
Replace the ____ by the correct mathematic symbol to make expression true?
18 ? 12 ? 4 ? 5 = 59 Choose the correct option:  A) 18*12/4+5  B) 18/12*4-5  C) 18*12*4+5  D) 18*12/4-5  E) None

Solution: Correct 18*12/4+5nswer : 18*12/4+5   ((18*12)/4)+5= 
((18*12)/4)+5 = 59
59
Answer: A
In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 42, the dividend is:
Choose the correct choice from the following options:
A) 4452
B) 5340
C) 5342
D) 5345
E) 5356

Solution: Divisor = (5 * 42)= 
(5 * 42) = 210
210= 10 * Quotient = Divisor   => Quotient = 210/10= 
210/10 = 21
21   Dividend= (Divisor * Quotient) + Remainder   Dividend = (210 * 21) + 42= 
(210 * 21) + 42 = 4_452
4452   4452
Answer: A
A school’s annual budget for the purchase of student computers increased by 20% this year over last year. If the price of student computers increased by 20% this year, then the number of computers it can purchase this year is what percent greater than the number of computers it purchased last year?
Answers:  A) 5%  B) 2%  C) 3%  D) 1%  E) 0%

Solution: Lats year: budget = $100, price = $1 --> the number of computers purchased = 100/1= 
100/1 = 100
100;   This year: budget= $120, price = $1.2 --> the number of computers purchased = 120/1.2= 
120/1.2 = 100
100.   Increase in the number of computers purchased= 0%.   Answer: 0%.
Answer: E
In how many of ways can 5 balls be placed in 3 tins if any number of balls can be placed in any tin? Pick one:  A) 5C4  B) 5P4  C) 54  D) 4^5  E) 3^5

Solution: Now, each of the 5 different balls has 3 choices (3 tins to go to), so total # of distribution is 3*3*3*3*3=3^5.   Answer: 3^5.
Answer: E
A trader has 50 kg of pulses, part of which he sells at 8 per cent profit and the rest at 18 per cent profii. He gains 14 per cent on the whole. What is the quantity sold at 18 per cent profit?	Choose the correct choice from the following answers:
A) 30 kg B) 25 kg C) 20 kg D) 40 kg E) none of these

Solution: Ratio of quantities sold at 8% profit and 18% profit   =>4:6 = 2:3   Therefore,the quantity sold at 18% profit   =>50/(2 + 3) x 3   =>30 kg   30 kgNSWER:30 kg
Answer: A
How many different values of positive integer x, for which |x+4|<x, are there?	Pick one.
A) 0
B) 2
C) 3
D) 8
E) 16

Solution: Answer D   I opted to put the random value option.   i used 0 ,4 , -4 and the the extreme of 60 and -60..   i was able to solve it in 1:09   8
Answer: D
The average monthly salary of 20 employees in an organisation is Rs. 1300. If the manager's salary is added, then the average salary increases by Rs. 100. What is the manager's monthly salary ? Choose the correct choice from the following choices.
A) 3600	B) 3890	C) 88798	D) 3400	E) 2891

Solution: Explanation:   Manager's monthly salary Rs. (1400 * 21 - 1300 * 20) = Rs. 3400.   Answer: 3400
Answer: D
One paper is equally folded 35 times, then what is the new thickness of the paper ?
Choose the correct option
A) 50 T
B) 2T
C) T x (2 ^90)
D) T x (2 ^20)
E) T x (2 ^50)

Solution: T x (2 ^50)xplanation:   Let initial thickness of the paper be 'T'   after first fold it will be '2T' = 2 ^1 T   after second fold it will be '4t' = 2^2 T   after 50th fold it will be T x (2 ^50)   Answer T x (2 ^50)
Answer: E
One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 37 minutes, then the slower pipe alone will be able to fill the tank in Choose the correct option:
A) 148 mins
B) 140 mins
C) 136 mins
D) 132 minw
E) None of these

Solution: Explanation:   Let the slower pipe alone fill the tank in x minutes   then faster will fill in x/3 minutes.   Part filled by slower pipe in 1 minute = 1/x   Part filled by faster pipe in 1 minute = 3/x   Part filled by both in 1 minute =   1/x+3/x=1/37   =>4/x=1/37   x=37∗4=148mins   Option 148 mins
Answer: A
A newly-wed couple is using a website to design an eBook Wedding Album to distribute to their friends and families. The template they have chosen has places for 3 large photos and 19 smaller photos. The couple has 7 large photos they could use for those three slots, and 21 smaller photos they could use for those 19 slots. Given these choices, how many different possible albums could they create?  Choose the correct choice from the following options:
A) 3,150  B) 4,200  C) 7350  D) 20,520  E) 84,000

Solution: MAGOOSHOFFICIAL SOLUTION:   For the large photos, we need 6C3, which we calculated in the article:   7C3 = 35   For the smaller photos, we need 21C19, which by symmetry must equal 21C2, and we have a formula for that. In fact, in the article above, we already calculated that 21C2 = 210.   Now, by the F7350P, we just multiply these: total number of possible albums = 35*210= 
35*210 = 7_350
7350   Answer=7350
Answer: C
A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 33 times, A has killed:  Options
A) 60 birds B) 72 birds C) 37 birds D) 80 birds E) 20 birds

Solution: Let the total number of shots be x. Then,   Shots fired by A =(5/8)x   Shots fired by B =(3/8)x   Killing shots by A =(1/3)of	(5/8)x=(5/24)x   Shots missed by B =(1/2) of (3/8)x	=(3/16)x   3x/16= 33 or x =(33 x 16)/3= 176.   Birds killed by A =(5x/24)	=(5/24*176)= 37.   Answer is 37 birds.
Answer: C
From below option 51 is divisible by which one?	Choose the correct choice from the following options:
A) A)4 B) B)5 C) C)6 D) D)3 E) E)7

Solution: 51/3= 
51/3 = 17
17   3
Answer: D
Karthik read 7/13 th of a book in 1st week and 5/9 th of the remaining book in 2nd week. If there were 96 pages unread after 2nd week, how many pages were there in the book ? Choices.
A) 518  B) 452  C) 468  D) 502  E) 396

Solution: Solution   96 pages were unread   so on second week have 5/9   So unread pages = 1 - 5/9 = 4/9   96*9/4= 
96*9/4 = 216
216   then, on first week unread pages were 216   total pages= 216*13/6= 
216*13/6 = 468
468   So answer is 468
Answer: C
How many prime numbers between 1 and 100 are factors of 7150?  Choose the correct choice:
A) 238
B) 100
C) 299
D) 270
E) 111

Solution: Ans: 7, 150 = 2×52×11×13   So there are 4 distinct prime numbers that are below 100   Answer:100
Answer: B
I. a3 - 305 = 207,
II. b2 - 72 = -8 to solve both the equations to find the values of a and b? Choose the correct choice from the following.
A) a > b	B) a ≥ b	C) a < b	D) a ≤ b	E) a = b or the relationship between a and b cannot be established.

Solution: a3 = 512 => a = 8   b2 = 64 => b = ± 8   a ≥ b   ANSWER:a ≥ b
Answer: B
The length of a side on an equilateral triangle is doubled. If y is the previous parameter, what is the value of the new parameter?  Select:
A) 2y  B) 1y  C) 3y  D) 4y  E) 12y

Solution: Given parameter y, each side is y/3   If parameter is doubled, then each side is 2y/3, thus the new parameter is 2y.   2ynswer option 2y.
Answer: A
The cost of water in the area where the Jones family lives is scheduled to increase by 35% next year. Since the Jones family cannot afford an increase in their water bill, how much will they have to reduce consumption to keep their cost the same?
Choose the correct choice from the following answers.
A) None	B) 25.9%	C) 10.2%	D) 45%	E) 15.5%

Solution: Solution: Let the current water expense be represented by Rs. 100.   The cost of water rises 35%. So, to buy same amount of water, they need to increase their expense,   = (100 + 35% of 100) = Rs. 135.   But, they want to keep water expense the same, so they have to cut Rs. by 35 to keep it to Rs. =100.   The % decrease in consumption is,   (35/135)*100 = 25.9%.   Mental Calculation Method;   100-----35%↑---→135------X%↓---→100.   Here, X = (35/135)*100 = 25.9%.   Answer: Option 25.9%
Answer: B
Company KW is being sold, and both Company A and Company B were considering the purchase. The price of Company KW is 60% more than Company A has in assets, and this same price is also 100% more than Company B has in assets. If Companies A and B were to merge and combine their assets, the price of Company KW would be approximately what percent of these combined assets?	Choose the correct choice:
A) 66%  B) 75%  C) 89%  D) 116%  E) 150%

Solution: Let the price of 89%ompany A's assets be 100   Price of assets of KW is 60% more than company A's assets which is 160   Price of assets of KW is 100% more than company B's assets which means price of 89%ompany B's assets is half the price of KW = 80   A+B = 180   KW = 160   KW/(A+B)*100 = 160/180*100 = 88.88% or 89%89%
Answer: C
At a certain restaurant, the average (arithmetic mean) number of customers served for the past x days was 65. If the restaurant serves 120 customers today, raising the average to 90 customers per day, what is the value of x?  Choices.
A) 1	B) 5	C) 9	D) 15	E) 30

Solution: WITHOUTusing the formula, we can see that today the restaurant served 30 customers above the average. The total amount ABOVE the average must equal total amount BELOW the average. This additional 30 customers must offset the “deficit” below the average of 90 created on the x days the restaurant served only 60 customers per day.   30/30= 
30/30 = 1
1 day.Choice (A).   WITHthe formula, we can set up the following:   90= (60x + 120)/(x + 1)   90x + 90 = 60x + 120   30x = 30   x = 11nswer Choice (1)
Answer: A
A sum of money is to be distributed among A, B, C, D in the proportion of 5:2:4:3. If C gets Rs. 2000 more than D, what is B's share?	Choose the correct choice from the following choices:
A) A)4000 B) B)2900 C) C)2000 D) D)2393 E) E)2009

Solution: Let the shares of A, B, C and D be 5x, 2x, 4x and 3x Rs. respectively.   Then, 4x - 3x = 2000 => x = 2000.   B's share = Rs. 2x = 2 * 2000 = Rs. 4000.   4000nswer: 4000
Answer: A
Let y = 2g + x^2 and g = 5x + 1.
If g^2 = 361, then which of the following can be a value of 2y + 3g?	Pick one.
A) 75
B) 92
C) -101
D) 142
E) 160

Solution: 800score Official Solution:   First note that g can either be 19 or -19. We are going to have to use both to find all solutions before we can choose a final answer. We begin by substituting g = 19 and then g = -19. If g = 19, then x = 18/5. If g = -19, then x = -4. Since all of our solutions are whole numbers, we can dismiss 18/5. We use g = -19 and x = -4 to determine the value of y: y = 2(-19) + 16 = -22. Finally, we substitute the values for y and g into the last expression to determine its value : 2(-22) + 3(-19) = -44 - 57 = -101;the correct answer is (-101).
Answer: C
How many different arrangements of A, B, C, D, and E are possible where A is not adjacent to B and D is not adjacent to E?  Choose the correct answer
A) 96	B) 48	C) 32	D) 30	E) 1

Solution: So you have A,48,C,D,E   five possible ways to arrange it = 5! = 120   A48 cannot be adjacents neither DE:   (A48),C,D,E = 4! = 24 x 2(because it can be (A48) or (48A) ) = 48   A,48,C,(DE) = 4! = 24 x 2 = 48   To get rid of the double counting:   (A48),C,(DE) = 3! x 4 = 24   (Four possible ways to arrange it)   120 -48-48+24= 
120 -48-48+24 = 48
48 possible ways   ANSWER:48
Answer: B
If m is an integer such that (-2)^2m=2^(24-m) then m=? Pick:
A) 7	B) 8	C) 9	D) 10	E) 11

Solution: 2m = 24-m   3m = 24   m = 8   The answer is 8.
Answer: B
If 36 men can do a piece of work in 25 hours, in how many hours will 15 men
do it ?
Choose the correct choice from the following options
A) 65 hours B) 60 hours C) 30 hours D) 62 hours E) 66 hours

Solution: Let the required number of hours be x. Then,   Less men, More hours	(Indirect Proportion)   15 : 36 : : 25 : x	(15 x x) = (36 x 25)	(36 x 25)/15 = 60   Hence, 15 men can do it in 60 hours.   Answer is 60 hours.
Answer: B
In a zoo there are 50 penguins, 4 lions, and 20 tarantulas with some zookeepers. If the total number of feet be XXX more than the number of heads in the caravan, the number of zookeepers is Choose the correct choice from the following options
A) 1 B) 2 C) 4 D) 6 E) 8

Solution: Explanation: Let number of keepers be x. Then, Total number of feet = 2 x 50 + 4 x 4 + 8 x 20 + 2x = 2x + 276. Total number of heads = 50 + 4 + 20 + x= 74 + x. Therefore (2x + 276) = (74 + x) + 210 or x = 8. Answer: 8
Answer: E
In a sequence, the first term is 1, and each successive term is 1 more than the reciprocal of the term that immediately precedes it. What is the fifth term of the sequence?  Options: A) 3/5 B) 5/8 C) 8/5 D) 5/3 E) 9/2

Solution: First term = 1   Second term = (1/1)+1= 
(1/1)+1 = 2
2   Third Term= (1/2)+1 = 3/2   Forth Term = [1/(3/2)]+1 = 5/3   Fifth Term = [1/(5/3)]+1 = 8/5   Answer: Option 8/5
Answer: C
Shopkeeper rise price by 32% and gives successive discount of 10% and 15%. What is overall % gain or loss? Choices
A) 0.98% B) 4.98% C) 3.95% D) 6.98% E) 7.98%

Solution: Let d initial price be 100   32 % rise   now price = 132/100*100= 
132/100*100 = 132
132   10% discount   Then price= 132 * 90/100= 
132 * 90/100 = 594/5 = around 118.8
118.8   15 % discount   Then price= 118.8 * 85/100= 
118.8 * 85/100 = 100.98
100.98   So Gain= 100.98 - 100= 
100.98 - 100 = 0.98
0.98   Gain %= Gain * 100 /CP   ==> 0.98* 100 /100= 
0.98* 100 /100 = 0.98
0.98%   0.98%NSWER:0.98%
Answer: A
A worker is paid x rupees for painting every 30 metres of a wall and y rupees for painting every extra metre. During one week, he painted 30 metres on Monday, 30 metres on Tuesday, 32 metres on Wednesday, 32 metres on Thursday and 31 metres on Friday. What is his average daily earning rupees for the five day week?
Choices
A) x + (8/5)y  B) (5x + 9y)/5  C) 10x + (8/5)y  D) None of these  E) x+y

Solution: x+yxplanation :   On Monday, the payment = Rs x   On Tuesday, the payment = Rs x   On Wednesday, the payment = Rs (x + 2y)   On Thursday, the payment = Rs (x + 2y)   On Friday, the payment = Rs (x + y)   Average daily earning during the five-day week = (5x + 5y)/5   = x + y   Answer : x+y
Answer: E
The ‘moving walkway’ is a 300-foot long walkway consisting of a conveyor belt that moves continuously at 3 feet per second. When Bill steps on the walkway, a group of people that are also on the walkway stands 120 feet in front of him. He walks toward the group at a rate of 3 feet per second. Once Bill reaches the group of people, he stops walking and stands with them until the walkway ends. What is Bill’s average rate T of movement for his trip along the moving walkway?  Choose one.
A) 2 feet per second B) 2.5 feet per second C) 3 feet per second D) 4 feet per second E) 5 feet per second

Solution: A, B, and C don't make ANY sense! we know for some time...(a majority of the 300ft) Bill will walk at a pace of 6ft per second...and then at some later time he will stop and move at 3 ft per second... The averageT MUST bebetween3-6 ft per second or the Earth is FLAT!!!.   So we are down to DE, D doesn't make sense on a weighted averages level because we know when Bill gets on the walkway the patrons are already 40% of the way down the 300ft walkway AND they are still moving at half the rate of Bill!! So for Bill to average 4 ft per second he would have had to spend a majority of the 300 ft at 3ft per second because 4 is much closer (when you factor in the size of the values we're dealing with 2 is double 1) to 3 than to 6. We know from the information that isn't possible. Billmust havespent the majority of his time at 6 ft per second before he stopped walking. That leaves only answer 5 feet per second as plausible.
Answer: E