mathewhe/aqua_rat huggingface dataset:
Question: 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 ?
(A) 38 men
(B) 32 men
(C) 34 men
(D) 40 men
(E) None of these
Rationale: 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 = 40 men
Answer: D
Answer: (D) 40 men
Question: 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?
(A) 190
(B) 175
(C) 225
(D) 200
(E) 250
Rationale: Number of students who speak French are 65 + 25 = 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 = 200 = number of all students
Answer is D
Answer: (D) 200
Question: 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?
(A)  34%
(B)  38%
(C)  45%
(D)  53%
(E)  62%
Rationale: 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 D.
Answer: (D)  53%
Question: 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?
(A) 6.8
(B) 7.4
(C) 7.7
(D) 8.2
(E) 8.6
Rationale: Let x be the length of the size 8 shoe.
Then 0.3x = 9/5
x = 90/15 = 6 inches
The size 15 shoe has a length of 6 + 7/5 = 7.4 inches
The answer is B.
Answer: (B) 7.4
Question: 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?
(A) 8500
(B) 3500
(C) 4500
(D) 5000
(E) 1500
Rationale: (A + B) - (B + C) = 5000
A - C = 5000
Answer: D
Answer: (D) 5000
Question: 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?
(A) 17/28
(B) 17/21
(C) 17/23
(D) 17/20
(E) 17/22
Rationale: 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:D
Answer: (D) 17/20
Question: The average of 9 numbers is 8 and the average of 7 other numbers is 8. What is the average of all 16 numbers?
(A) 9
(B) 8
(C) 7 7⁄8
(D) 7 1⁄2
(E) 7 1⁄4
Rationale: 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 = 128. The average of those numbers is 128/16 = 8 .
Final Answer:
[Reveal]Spoiler:
B
Answer: (B) 8
Question: 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 ?
(A) 86.5 kg
(B) 64.5 kg
(C) 46.5 kg
(D) 26.5 kg
(E) 16.5 kg
Rationale: 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 = 64.5 kg
Answer: B
Answer: (B) 64.5 kg
Question: 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?
(A) 80 lakh
(B) 50 lakh
(C) 72 lakh
(D) 60 lakh
(E) None of these
Rationale: 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 C
Answer: (C) 72 lakh
Question: 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.
(A) 38
(B) 92
(C) 72
(D) 37
(E) 28
Rationale: 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:D
Answer: (D) 37
Question: 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 ?
(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
Rationale: 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=23
ANSWER:A
Answer: (A) 32 years, 23 years
Question: 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?
(A) $950.00
(B) $929.29
(C) $973.25
(D) $100.25
(E) $110.00
Rationale: Using CI Formula:
A=P(1+r/n)^n*t
A=800(1+3/5)^3*5
A=929.29
Answer: (A) $950.00
Question: Find the angle between the hour hand and the minute hand of a clock when the time is 3.25
(A) 47.5 degrees
(B) 67.5 degrees
(C) 27.5 degrees
(D) 87.5 degrees
(E) 97.5 degrees
Rationale: 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, Angle between Hour and the Minute hand
= ( 60 - 12.5 ) = 47.5°
Answer: A
Answer: (A) 47.5 degrees
Question: 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
(A) I
(B) II
(C) III
(D) I&II
(E) IV
Rationale: 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
E
Answer: (E) IV
Question: 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%?
(A) 20%
(B) 29%
(C) 10%
(D) 35%
(E) 90%
Rationale: SP2 = 2/3 SP1
CP = 100
SP2 = 90
2/3 SP1 = 90
SP1 = 135
100 --- 35 => 35%
Answer: D
Answer: (D) 35%
Question: 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?
(A) 19%loss
(B) 12%loss
(C) 16%loss
(D) 18%loss
(E) 11%loss
Rationale: Explanation:
(40*40)/100
= 16%loss
Answer:C
Answer: (C) 16%loss
Question: Which of the following is a prime number ?
(A) 81
(B) 90
(C) 97
(D) 99
(E) None
Rationale: Explanation:
Clearly, 97 is a prime number.
C)
Answer: (C) 97
Question: 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?
(A) 28829
(B) 27769
(C) 26552
(D) 11750
(E) 29972
Rationale: 200 + 130 = 330
800 - 330 = 470
200 ---- 5000
470 ---- ? => 11750
Answer:D
Answer: (D) 11750
Question: Replace the ____ by the correct mathematic symbol to make expression true?
18 ? 12 ? 4 ? 5 = 59
(A) 18*12/4+5
(B) 18/12*4-5
(C) 18*12*4+5
(D) 18*12/4-5
(E) None
Rationale: Correct Answer : A
((18*12)/4)+5 = 59
Answer: (A) 18*12/4+5
Question: In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 42, the dividend is:
(A) 4452
(B) 5340
(C) 5342
(D) 5345
(E) 5356
Rationale: Divisor = (5 * 42) = 210
= 10 * Quotient = Divisor
=> Quotient = 210/10 = 21
Dividend = (Divisor * Quotient) + Remainder
Dividend = (210 * 21) + 42 = 4452
A
Answer: (A) 4452
Question: 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?
(A) 5%
(B) 2%
(C) 3%
(D) 1%
(E) 0%
Rationale: Lats year: budget = $100, price = $1 --> the number of computers purchased = 100/1 = 100;
This year: budget = $120, price = $1.2 --> the number of computers purchased = 120/1.2 = 100.
Increase in the number of computers purchased = 0%.
Answer: E.
Answer: (E) 0%
Question: In how many of ways can 5 balls be placed in 3 tins if any number of balls can be placed in any tin?
(A)  5C4
(B)  5P4
(C)  54
(D)  4^5
(E)  3^5
Rationale: 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: E.
Answer: (E)  3^5
Question: 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?
(A) 30 kg
(B) 25 kg
(C) 20 kg
(D) 40 kg
(E) none of these
Rationale: 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
ANSWER:A
Answer: (A) 30 kg
Question: How many different values of positive integer x, for which |x+4|<x, are there?
(A) 0
(B) 2
(C) 3
(D) 8
(E) 16
Rationale: 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
D
Answer: (D) 8
Question: 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 ?
(A) 3600
(B) 3890
(C) 88798
(D) 3400
(E) 2891
Rationale: Explanation:
Manager's monthly salary Rs. (1400 * 21 - 1300 * 20) = Rs. 3400.
Answer: D
Answer: (D) 3400
Question: One paper is equally folded 35 times, then what is the new thickness of the paper ?
(A) 50 T
(B) 2T
(C) T x (2 ^90)
(D) T x (2 ^20)
(E) T x (2 ^50)
Rationale: Explanation:
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 E
Answer: (E) T x (2 ^50)
Question: 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
(A) 148 mins
(B) 140 mins
(C) 136 mins
(D) 132 minw
(E) None of these
Rationale: 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 A
Answer: (A) 148 mins
Question: 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?
(A) 3,150
(B) 4,200
(C) 7350
(D) 20,520
(E) 84,000
Rationale: 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 FCP, we just multiply these: total number of possible albums = 35*210 = 7350
Answer =C
Answer: (C) 7350
Question: 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:
(A) 60 birds
(B) 72 birds
(C) 37 birds
(D) 80 birds
(E) 20 birds
Rationale: 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 C.
Answer: (C) 37 birds
Question: From below option 51 is divisible by which one?
(A) A)4
(B) B)5
(C) C)6
(D) D)3
(E) E)7
Rationale: 51/3 = 17
D
Answer: (D) D)3
Question: 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 ?
(A) 518
(B) 452
(C) 468
(D) 502
(E) 396
Rationale: Solution
96 pages were unread
so on second week have 5/9
So unread pages = 1 - 5/9 = 4/9
96*9/4 = 216
then, on first week unread pages were 216
total pages = 216*13/6= 468
So answer is C
Answer: (C) 468
Question: How many prime numbers between 1 and 100 are factors of 7150?
(A) 238
(B) 100
(C) 299
(D) 270
(E) 111
Rationale: Ans: 7, 150 = 2×52×11×13
So there are 4 distinct prime numbers that are below 100
Answer:B
Answer: (B) 100
Question: I. a3 - 305 = 207,
II. b2 - 72 = -8 to solve both the equations to find the values of a and b?
(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.
Rationale: a3 = 512 => a = 8
b2 = 64 => b = ± 8
a ≥ b
ANSWER:B
Answer: (B) a ≥ b
Question: 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?
(A) 2y
(B) 1y
(C) 3y
(D) 4y
(E) 12y
Rationale: Given parameter y, each side is y/3
If parameter is doubled, then each side is 2y/3, thus the new parameter is 2y.
Answer option A.
Answer: (A) 2y
Question: 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?
(A) None
(B) 25.9%
(C) 10.2%
(D) 45%
(E) 15.5%
Rationale: 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 B
Answer: (B) 25.9%
Question: 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?
(A) 66%
(B) 75%
(C) 89%
(D) 116%
(E) 150%
Rationale: Let the price of Company 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 Company 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%C
Answer: (C) 89%
Question: 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?
(A) 1
(B) 5
(C) 9
(D) 15
(E) 30
Rationale: 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 = 1 day.Choice (A).
WITHthe formula, we can set up the following:
90 = (60x + 120)/(x + 1)
90x + 90 = 60x + 120
30x = 30
x = 1Answer Choice (A)
Answer: (A) 1
Question: 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?
(A) A)4000
(B) B)2900
(C) C)2000
(D) D)2393
(E) E)2009
Rationale: 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.
Answer: A
Answer: (A) A)4000
Question: 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?
(A) 75
(B) 92
(C) -101
(D) 142
(E) 160
Rationale: 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 (C).
Answer: (C) -101
Question: 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?
(A) 96
(B) 48
(C) 32
(D) 30
(E) 1
Rationale: So you have A,B,C,D,E
five possible ways to arrange it = 5! = 120
AB cannot be adjacents neither DE:
(AB),C,D,E = 4! = 24 x 2(because it can be (AB) or (BA) ) = 48
A,B,C,(DE) = 4! = 24 x 2 = 48
To get rid of the double counting:
(AB),C,(DE) = 3! x 4 = 24
(Four possible ways to arrange it)
120 -48-48+24 = 48 possible ways
ANSWER:B
Answer: (B) 48
Question: If m is an integer such that (-2)^2m=2^(24-m) then m=?
(A) 7
(B) 8
(C) 9
(D) 10
(E) 11
Rationale: 2m = 24-m
3m = 24
m = 8
The answer is B.
Answer: (B) 8
Question: If 36 men can do a piece of work in 25 hours, in how many hours will 15 men
do it ?
(A) 65 hours
(B) 60 hours
(C) 30 hours
(D) 62 hours
(E) 66 hours
Rationale: 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 B.
Answer: (B) 60 hours
Question: 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
(A) 1
(B) 2
(C) 4
(D) 6
(E) 8
Rationale: 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: E
Answer: (E) 8
Question: 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?
(A)  3/5
(B)  5/8
(C)  8/5
(D)  5/3
(E)  9/2
Rationale: First term = 1
Second term = (1/1)+1 = 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 C
Answer: (C)  8/5
Question: Shopkeeper rise price by 32% and gives successive discount of 10% and 15%. What is overall % gain or loss?
(A) 0.98%
(B) 4.98%
(C) 3.95%
(D) 6.98%
(E) 7.98%
Rationale: Let d initial price be 100
32 % rise
now price = 132/100*100 = 132
10% discount
Then price = 132 * 90/100 = 118.8
15 % discount
Then price = 118.8 * 85/100 = 100.98
So Gain = 100.98 - 100 = 0.98
Gain % = Gain * 100 /CP
==> 0.98* 100 /100 = 0.98%
ANSWER:A
Answer: (A) 0.98%
Question: 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?
(A) x + (8/5)y
(B) (5x + 9y)/5
(C) 10x + (8/5)y
(D) None of these
(E) x+y
Rationale: Explanation :
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 : E
Answer: (E) x+y
Question: 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?
(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
Rationale: 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 E as plausible.
Answer: (E) 5 feet per second
Question: If 12 men can reap 80 hectares in 24 days , then how many hectares can 36 men reap in 30 days?
(A) 127
(B) 237
(C) 300
(D) 450
(E) 281
Rationale: Explanation:
Let the required no of hectares be x. Then
Men --- Hectares---Days
12---------80---------24
36---------x---------30
More men, More hectares (Direct proportion)
More days, More hectares (Direct proportion)
x=36/12*30/24*80
x= 300
Answer: C
Answer: (C) 300
Question: The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What is the weight of the new person?
(A) 75
(B) 65
(C) 85
(D) 95
(E) 80
Rationale: Total increase in weight = 8 × 2.5 = 20
If x is the weight of the new person, total increase in weight = x−65
=> 20 = x - 65
=> x = 20 + 65 = 85
Answer is C.
Answer: (C) 85
Question: If (2^12)(25^S) = 5(10^m) what is the value of m ?
(A) 12
(B) 8
(C) 15
(D) 16
(E) 23
Rationale: given
2^12 * 25^s = 5 * 10^2
=> 2^12 * 5^(2s) = 2^m * 5^(m+1)
Ans A
on comparing the power of 2 => m=12
Answer: (A) 12