RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Sam is training for the marathon. He drove 12 miles from his home to the Grey Hills Park and then ran 6 miles to Red Rock, retraced his path back for 3 miles, and then ran 3 miles to Rock Creek. If he is then n miles from home, what is the range of possible values for n?
A.1 ≤ n ≤23
B.3 ≤ n ≤21
C.5 ≤ n ≤19
D.6 ≤ n ≤18
Answer: D.6 ≤ n ≤18
Explanation: ANSWER: C To find the maximum and minimum range for his distance from home, assume that he traveled either directly toward his home or directly away from his home. The range then is between 12+6-3+3=18 for the maximum, and 12-6+3-3=6 for the minimum, so D is the answer
Question: If Logx (1 / 8) = - 3 / 2, then x is equal to
A.2
B.4
C.5
D.6
Answer: B.4
Explanation: Rewrite the logarithmic equations using exponential equation
x- 3 / 2 = 1 / 8
The above equation may be rewritten as
x - 3 / 2 = 1 / 23 = 2-3
(√x)-3 = 2-3
The above equation gives
√x = 2 or x = 4
answer = B
Question: If a^x = b^5y, then
A.log a/b= x/y
B.log a/ log b = x/y
C.log a/ log b = 5y/x
D.log b/a = x/y
Answer: C.log a/ log b = 5y/x
Explanation: a^x = b^5y => log a^x = log b^5y => x log a = 5y log b
=> log a/ log b = 5y/x
ANSWER:C
Question: a, b, c, d, and e are five consecutive numbers in increasing order of size. Deleting one of the five
numbers from the set decreased the sum of the remaining numbers in the set by 20%. Which one of
the following numbers W was deleted?
A. a
B. b
C. c
D. d
Answer: C. c
Explanation: a+b+c+d+e => 1+2+3+4+5=15
20%*15= 3 =>C
Question: A started a business with Rs.21,000 and is joined afterwards by B with Rs.36,000. After how many months did B join if the profits at the end of the year are divided equally?
A.4
B.5
C.6
D.7
Answer: B.5
Explanation: Explanation:
Suppose B joined after x months
then,
21000*12=36000*(12-x)
=> 36x = 180
=> x = 5
Option B
Question: When 24 is divided by the positive integer n, the remainder is 4. Which of the following statements about n must be true?
I. n is even
II. n is a multiple of 5
III. n is a factor of 20
A.III only
B.I and II only
C.I and III only
D.II and III only
Answer: D.II and III only
Explanation: m*n=20
put values of m
m=1 n=20
m=2 n=10
m=4 n=5
I. not true
II. true
III. true
D. correct
Question: The sum of number of boys and girls in a school is 100. If the number of boys is x, then the number of girls becomes x% of the total number of students. The number of boys is?
A.50
B.40
C.60
D.100
Answer: A.50
Explanation: We have x+x% of 100 = 100
x + x/100 * 100 = 100
2 * x = 100
x = 50
Answer is A
Question: Out of 10 persons working on a project, 4 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?
A.1/6
B.5/8
C.3/8
D.5/6
Answer: D.5/6
Explanation: Explanation:
P(at least one graduate) = 1 - P(no graduates) =
1 - ⁶C₃/¹⁰C₃ = 1 - (6 * 5 * 4)/(10 * 9 * 8) = 5/6
ANSWER IS D
Question: Running at the same constant rate, 4 identical machines can produce a total of 16 bottles per minute. At this rate, how many bottles could 8 such machines produce in 3 minutes?
A.11
B. 92
C. 96
D. 174
Answer: C. 96
Explanation: Let's take the approach that uses the answer choices to eliminate wasted time.
16/4=4. 8 machines = 32 per minute. 3 minutes worth = 96 bottles.
Looking at the answers it is clear...we can only choose (C)
THE CORRECT ANSWER IS C.
Question: Which of the following must be true.?
1) The sum of N consecutive integers is always divisible by N
2) If N is even then the sum of N consecutive integers is divisible by N.
3) If N is odd then the sum of N consecutive integers is divisible by N.
4) The Product of K consecutive integers is divisible by K.
5) The product of K consecutive integers is divisible by K!
A.1,4,5
B.3,4,5
C.4 and 5
D.1,2,3,4
Answer: D.1,2,3,4
Explanation: Sum=n/2[2a+(n-1)*1] sum is always divisible by n irrespective of n being even or odd.
Product=a(a+1)(a+2)...(a+k-1) = (a+k-1)!/(a-1)! Product of k consecutive integers contains k terms with at least one multiple of k
Answer: 1,2,3,4 = D
ANSWER:D
Question: John has 10pairs of dark blue socks and 10pairs of black socks. He keeps them all in the same bag. If he picks out 3socks at random, then what is the probability thathe will get a matching pair?
A.1
B.3
C.5
D.8
Answer: A.1
Explanation: If he draws any combination of 3 socks he will definitely have the matching pair of either colour.
A
Question: Given a certain number (A), find A given that 4.5 is 15% of 20% of A?
A.120
B.130
C.150
D.100
Answer: C.150
Explanation: Using elimination method to pick the correct option it will be discovered that option C i.e 150 is the correct option because 20% of 150 is 30 and 15% of 30 is 4.5.
ANSWER:C
Question: A person travels from P to Q a speed of 40 km/hr and returns by increasing his speed by 50%. What is his average speed for both the trips?
A.18 km/hr
B.17 km/hr
C.48 km/hr
D.28 km/hr
Answer: C.48 km/hr
Explanation: Speed on return trip
= 150% of 40
= 60 km/hr.
Average speed
= (2 * 40 * 60)/(40 + 60)
= 48 km/hr.
Answer: C
Question: The sum of the numbers is 177. If the ratio between the first and the second be 5:3 and that between the second and third be 4:9, then find the second number?
A.12
B.20
C.45
D.60
Answer: C.45
Explanation: Given ratios
5 : 3
4 : 9
20:12:27
The second number = 177/(20+12+27) * 15 = 45
Answer is C
Question: What will be the vulgar fraction of 0.8
A.3/5
B.4/5
C.3/2
D.3/7
Answer: B.4/5
Explanation: Explanation:
0.8 = 80/100 = 4/5
Option B
Question: Three persons invested Rs.9000 in a joint business. The second person invested Rs.1000 more than the first and the third Rs.1000 more than second. After two years, they gained Rs.5400. How much third person will get?
A.2400
B.1871
C.1167
D.1890
Answer: A.2400
Explanation: First persons investment = x
Second persons investment = x + 1000
Third persons investments = x + 2000
x + x + 1000 + x + 2000 = 9000
3x = 6000
x = 2000
Ratio = 2000 : 3000 : 4000
2:3:4
4/9 * 54000 = 2400
Answer:A
Question: This year, MBB Consulting fired 9% of its employees and left remaining employee salaries unchanged. Sally, a first-year post-MBA consultant, noticed that that the average (arithmetic mean) of employee salaries at MBB was 10% more after the employee headcount reduction than before. The total salary pool allocated to employees after headcount reduction is what percent of that before the headcount reduction?
A.98.5%
B.100.1%
C.102.8%
D.104.5%
Answer: B.100.1%
Explanation: 100 employees getting 1000$ avg, so total salary for 100 ppl = 100000
9% reduction in employees lead to 91 employees and a salary increase of 10% of previous avg salary
Thus the new avg salary is = 10%(1000)+1000 = 1100
so total salary of 91 employees is 91*1100 = 100100
Now the new salary is more than previous salary by x%. x = (100100/100000)*100 = 100.1%
So the Answer is B
Question: 96% of the population of a village is 23040. The total population of the village is ?
A.32256
B.24000
C.24936
D.25640
Answer: B.24000
Explanation: Answer
∵ 96% of P = 23040
∴ P = (23040 x 100) / 96 = 24000
Correct Option: B
Question: If the positive integer x is a multiple of 1 and the positive integer y is a multiple of 7, then xy must be a multiple of which of the following?
I. 7
II. 2
III. 3
A.II only
B.I and II only
C.I only
D.II and III only
Answer: C.I only
Explanation: x=1a
y=7b
xy=7ab
where a,b are integers
Hence , xy will always be divisible by 7 .
C is the answer.
Question: If the simple interest on a certain sum of money for 5 years is one–fifth of the sum, then the rate of interest per annum is
A.4%
B.7%
C.6%
D.4%
Answer: D.4%
Explanation: Explanation:
Let the Principal(P) be x
Then, Simple Interest(SI) = x/5
Time(T) = 5 years
Rate of interest per annum(R) = (100×SI)/PT
= (100 × (x/5)/(x × 5) = 20/5 = 4%
Answer: Option D
Question: Ayesha's father was 30 years of age when she was born while her mother was 22 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
A.16
B.14
C.15
D.12
Answer: D.12
Explanation: Mother's age when Ayesha's brother was born = 22 years.
Father's age when Ayesha's brother was born = (30 + 4) years = 34 years.
Required difference = (34 - 22) years = 12 years.
Answer:D
Question: How much time will a train of length 250 m moving at a speed of 72 kmph take to cross another train of length 300 m, moving at 36 kmph in the same direction?
A.55
B.99
C.88
D.76
Answer: A.55
Explanation: The distance to be covered = Sum of their lengths = 250 + 300 = 550 m.
Relative speed = 72 -36 = 36 kmph = 36 * 5/18 = 10 mps.
Time required = d/s = 550/10 = 55 sec.
Answer:A
Question: Beth received 2/5 of the votes cast in a certain election. What fraction of the other votes cast would she have needed in order to have received 1/2 of the votes cast?
A.1/6
B.2/7
C.3/10
D.7/20
Answer: A.1/6
Explanation: Let the total votes be 10. Beth received 4 votes, other votes 10-4=6. In order to have received 1/2 of the votes she needed 5 votes so 1 more, which is 1/6 of the other votes.
Answer: A.
Question: 60, 67, 63, 15, 61, 10, 15
Which of the following numbers is lower than the median but greater than the mean of the set of the numbers in the list?
A.25
B.36
C.53
D.60
Answer: C.53
Explanation: Yes, it can be solved with observation even without approximation in 30 sec.
Just observe given numbers: 10, 15 ,15, 60, 61, 63, 67
Median is very easy to tell - its 60. Now we want a number lower than 55 and greater than mean. How many numbers are lower than 60
DE are already out.
Now, we have 25, 36 and 53 and we want a number among these which is greater than mean. logically whatever be the mean, if one value out of these 5 has to be greater than mean it has to be 53. (Notice, if 25 is more than mean then 53 is also. If 36 is more than mean, 53 is also. )
Hence C it is!
Question: A man can row 50 km upstream and 72 km downstream in 9 hours. He can also row 70 km upstream and 90 km downstream in 12 hours. Find the rate of current.
A.8 kmph
B.3 kmph
C.6 kmph
D.4 kmph
Answer: D.4 kmph
Explanation: Let x and y be the upstream and downstream speed respectively.
Hence, 50/x + 72/y = 9 and 70/x + 90/y = 12
Solving for x and y we get x = 10 km/hr and y = 18 km/hr
We know that Speed of the stream = 1/2 * (downstream speed - upstream speed) = 1/2 (18 - 10) = 4 km/hr.
ANSWER:D
Question: What is the smallest positive integer x such that 120-x is the cube of a positive integer?
A.10
B.6
C.5
D.0
Answer: C.5
Explanation: Given 130-x is a perfect cube
so we will take 125 = 5*5*5
130-x = 125
x = 130-125 = 5
correct option is C
Question: If the perimeter of a rectangular garden is 600 m, its length when its breadth is 100 m is?
A.292
B.237
C.200
D.299
Answer: C.200
Explanation: 2(l + 100) = 600 => l = 200 m Answer: C
Question: 20% of the students in a class failed in an examination. Out of the students who failed, 75% were males. Male students who failed constitute 90% of the economically poor students in the class. What is the ratio of the number of economically poor students to the number of students in the class?
A.1:4
B.1:5
C.5:6
D.1:6
Answer: D.1:6
Explanation: Explanation :
Let, the total number of students in the class be 't' and the total number of students in the class who are economically poor be 'p'.
So,Total number of students who failed = t/5.
Total number of male students who failed are:-
=>(3/4)×(t/5)=9p/10.
=>p/t=1/6.
Hence,Number of economically poor students/Number of Students=1/6=1:6.
Answer : D
Question: The areas, in kilometers squared, of some countries are given below. USA: 9,629,091, Russia: 19,098,242, China: 9,598,094, Canada: 9,984,670, the UK: 242,400 and India: 3,287,263.
What is the difference between the areas of Russia and China?
A.5,476,811 kilometers squared
B.9,500,148 kilometers squared
C.9,843,123 kilometers squared
D.1,878,965 kilometers squared
Answer: B.9,500,148 kilometers squared
Explanation: he difference between the areas of Russia and China is given by
19,098,242 - 9,598,094 = 9,500,148 kilometers squared
correct answer B
Question: a and b are two bus stations 400 km apart. if two separate buses depart from both stations and travel towards each other, at what time do they meet each other given that the first bus left at 8 am and travels at a speed of 70 km/hr while the second bus left at 9 am and travels at a speed of 40 km/hr.
A.12 p.m
B.2 p.m
C.1 p.m
D.10 p.m
Answer: A.12 p.m
Explanation: Suppose they meet x hours after 8 a.m.
Distance moved by first BUS in x hours + distance moved by 2nd BUS in x-1 hrs = 400
70x+40(x-1) = 400
70x+40x-40= 400
110x= 440
x = 4
So they meet 4 hr after 8 a.m. is at 12 p.m.
Answer is A
Question: Solution A is 20% barium and Solution B is 80% barium. If you have 30 ounces of solution A and 60 ounces of solution B, in what ratio could you mix Solution A with Solution B to produce 50 ounces of a 50% barium solution?
A.6:4
B.6:14
C.4:4
D.4:6
Answer: C.4:4
Explanation: Forget the volumes for the time being.
You have to mix 20% and 80% solutions to get 50%. This is very straight forward since 50 is int he middle of 20 and 80 so we need both solutions in equal quantities. If this doesn't strike, use
w1/w2 = (A2 - Aavg)/(Aavg - A1)
w1/w2 = (80 - 50)/(50 - 20) = 1/1
So the volume of the two solutions will be equal. Answer has to be 4:4=C
Question: If a coin is tossed twice, what is the probability that the coin lands on heads on both tosses?
A.1/6
B.1/3
C.1/4
D.1/2
Answer: C.1/4
Explanation: P(2 heads) = 1/2*1/2=1/4
The answer is C.
Question: Seven years ago the average age of a family of 2 members was 23 years. A child has been born. due to Which the average age of the family is 23 years today. What is the present age of the child?
A.35years
B.32years
C.30years
D.25years
Answer: B.32years
Explanation: Explanation:
Average of the family of two numbers
7 years ago = 23
= (23+ 7) * 2 = 37 years
Average age of the family of three members at present = 23 years
= 23 * 3 = 69 YEARS
Age of child = 69 - 37 = 32 years
Answer: Option B
Question: Average of 10 matches is 32, How many runs one should should score to increase his average by 4 runs.
A.70
B.76
C.78
D.80
Answer: B.76
Explanation: Explanation:
Average after 11 innings should be 36
So, Required score = (11 * 36) - (10 * 32)
= 396 - 320 = 76
Answer: Option B
Question: In a dairy farm, 40 cows eat 40 bags of husk in 40 days. In how many days one cow will eat one bag of husk?
A.1
B.40
C.20
D.26
Answer: B.40
Explanation: Explanation :
Assume that in x days, one cow will eat one bag of husk.
More cows, less days (Indirect proportion)
More bags, more days (direct proportion)
⇒ 40 × 1 × 40 = 1 × 40 × x
⇒ x = 40 Answer : Option B
Question: In a rectangular coordinate system, points O (2,0), P (2,6), and Q (8,0) represent the sites of three proposed housing developments. If a fire station can be built at any point in the coordinate system, at which point would it be equidistant from all three developments?
A.(3,4)
B.(5,3)
C.(3,2)
D.(3,3)
Answer: B.(5,3)
Explanation: All points equidistant from O and Q lie on the line x = 5, so the fire station should lie on this line.
All points equidistant from O and P lie on the line y = 3, so the fire station should lie on this line.
These two intersect at (5,3) and that will be the point equidistant from all 3 points.
The answer is B.
Question: Whats the reminder when 879,548,521,456,258,759,653,258,778,455,658,985 is divided by 4
A.1
B.7.
C.2.
D.3
Answer: A.1
Explanation: A number ending in a 0 is divisible by 2. A number ending in 2 zeroes is divisible by 4.
Given the obscene number, you should immediately be convinced that you will need to focus on a very small part of it.
879,548,521,456,258,759,653,258,778,455,658,985 = 879,548,521,456,258,759,653,258,778,455,658,900+85
The first number is divisible by 16. You just have to find the remainder when you divide 5287 by 16. That will be the remainder when you divide the original number by 4.
85/4 gives remainder 1.
Answer (A)
Question: What does the hexa number E78 in radix 7.
A.12455
B.14153
C.14256
D.13541
Answer: D.13541
Explanation: conversion of hexa decimal to decimal
(E78)=(8*16^0) + (7*16^1) + (14*16^2)=8 + 112 + 3584 =3704
conversion of decimal to Radix 7
3704/7:reminder:1 and dividend:529
529/7:reminder:4 and dividend:75
75/7:reminder:5 and dividend:10
10/7:reminder:3 and dividend:1
1/7:reminder 1
Then finally result is:13541
ANSWER:D
Question: Rectangular tile each of size 70cm by 30cm must be laid horizontally on a rectangular floor of size 110cm by 130cm,such that the tiles do not overlap and they are placed with edges jutting against each other on all edges. A tile can be placed in any orientation so long as its edges are parallel to the edges of floor. No tile should overshoot any edge of the floor. The maximum number of tiles that can be accommodated on the floor is:
A.6
B.7
C.8
D.9
Answer: A.6
Explanation: Area of tile = 70*30 = 2100
Area of floor = 130*110 = 14300
No of tiles = 14300/2100 = 6.8
So, the no of tile = 6
ANSWER:A
Question: Which of the following is closest to 10^170 – 10^30 ?
A.10^210
B.10^180
C.10^170
D.10^90
Answer: C.10^170
Explanation: 10^170 – 10^30
10^30 * (10^140 – 1)
as we know 10^2 - 1 means 100-1 and we get 99, which is approximately 100. hence (10^140 – 1) would remain as 10^140.
and 10^30 * 10^150 = 10^180. Answer is C.
Question: When average age of 25 members are 0, how many members greater than 0?
A.17
B.24
C.21
D.23
Answer: B.24
Explanation: Average of 25 numbers = 0.
Sum of 25 numbers (0 x 25) = 0.
It is quite possible that 24 of these numbers may be positive and if their sum is a then 25th number is (-a)
Answer is 24 (B)
Question: The average of the marks of 11 students in a class is 36. If the marks of each student are doubled, find the new average?
A.69
B.70
C.71
D.72
Answer: D.72
Explanation: Sum of the marks for the 11 students = 11 * 36 = 396. The marks of each student are doubled, the sum also will be doubled.
The new sum = 396 * 2 = 792. So, the new average = 792/11 = 72.
ANSWER:D
Question: David works at a science lab that conducts experiments on bacteria. The population of the bacteria multiplies at a constant rate, and his job is to notate the population of a certain group of bacteria each hour. At 1 p.m. on a certain day, he noted that the population was 2,500 and then he left the lab. He returned in time to take a reading at 4 p.m., by which point the population had grown to 160,000. Now he has to fill in the missing data for 2 p.m. and 3 p.m. What was the population at 3 p.m.?
A.45,000
B.40,000
C.50,000
D.55,000
Answer: B.40,000
Explanation: let the rate be x, then population of the bacteria after each hour can be given as 2500, 2500x, 2500(x^2), 2500(x^3)
now population at 4pm =160,000
thus we have 2500(x^3) = 160,000 =64
thus x=4
therefore population at 3pm = 2500(16) = 40,000
Answer : B
Question: A car starts from X and moves towards Y. At the same time another car starts from Y and moves towards X. Both travel at a constant speed and meet after 6 hours. During that time, the faster car traveled 1/3 of the distance XY. How long would it take the slower car to travel the distance XY?
A.6 hours
B.9 hours
C.10 hours
D.12 hours
Answer: B.9 hours
Explanation: If one car travelled 1/3, then the other car must have travelled only 2/3, as they are meeting after 6 hours in a certain point. So:
(2/3)XY= 6*y --> It took the car 6 hours to travel 2/3 of the distance at a constant speed y.
So if we solve this last equation:
2XY= 3*6*y= 9*y --> It will take this car 9 hours in total to reach its final destination.
Answer: B
Question: X can do a piece of work in 40 days; Y can do the same in 30 days. X started alone but left the work after 10 days, then Y worked at it for 10 days. Z finished the remaining work in 10 days. Z alone can do the whole work in?
A.days
B.days
C.days
D.1/2 days
Answer: A.days
Explanation: Explanation:
10/40 + 10/30 + 10/x = 1
x = 24 days
Answer: A
Question: The average marks of 30 students in a class is 60. But a student mark is wrongly noted as 90 instead of 15 then find the correct average marks?
A.55.65
B.57.5
C.62.5
D.45.25
Answer: B.57.5
Explanation: correct avg marks = 60+(15-90)/30
avg = 60-2.5 = 57.5
Answer is B
Question: A man is 22 years older than his son. In THREE years, his age will be THRICE the age of his son. The present age of this son is
A.8 years
B.2 years
C.7 years
D.8 years
Answer: D.8 years
Explanation: Let's Son age is x, then Father age is x+22.
=> 3(x+3) = (x+22+3)
=> 3x+9 = x+25
=> 2x = 16 years = 8 YEARS
Answer: D
Question: In how many ways can the letters of a word 'ENGINEERING' be arranged such that vowels DO NOT together?
A.253000
B.263000
C.273000
D.283000
Answer: C.273000
Explanation: ENGINEERING
total 11 letters
E=3,N=3,G=2,I=2,R=1,
Total no. of ways = 11!/3!3!2!2! = 277200
when vowels come together = (EEEII)NNNGGR => 7!/3!2! * 5!/3!2! = 4200
No. of ways when vowels DO NOT together = 277200 - 4200 = 273000
ANSWER:C
Question: If 'Pink' is called 'Orange', 'Orange' is called 'Blue', 'Blue' is called 'Red', 'Red' is called 'Green', 'Green' is called 'Black' and 'Black' is called 'white', what would be the color of charcoal ?
A.White
B.BLUE
C.PINK
D.ORANCE
Answer: A.White
Explanation: Explanation:
Pink → Orange
Orange → Blue
Blue → Red
Red → Green
Green → Black
Black → White
The color of charcoal is 'Black' but in coding language, 'Black' is called 'White'.
ANSWER: A
Question: An art gallery owner is hanging paintings for a new show. Of the five paintings she has to choose from, she can only hang three on the main wall of the gallery. Assuming that she hangs as many as possible on that wall, in how many ways can she arrange the paintings?
A.18
B.30
C.64
D.20
Answer: D.20
Explanation: Arrangement means permutations questions..
5P3 = 5!/3! = 20
.
ANS option D is correct answer..
Question: What is the area G of the square with the following coordinates: (x, y), (20, 20), (20, 5), (x, 5)?
A.60.
B.85.
C.125.
D.225.
Answer: D.225.
Explanation: Length of one side= 15 (20-5)
Since, its a square, the area will be G= 15^2= 225
D is the answer
Question: The average weight of 8 persons is increased by 2.5 kg when one of them who weighs 56 kg is replaced by a new man. The weight of the new man is
A.76 years
B.78 years
C.86 years
D.16 years
Answer: A.76 years
Explanation: ANSWER: A
Question: If a farmer sells 15 of his goats, his stock of feed will last for 4 more days than planned, but if he buys 20 more goats, he will run out of feed 3 days earlier than planned. If no goats are sold or bought, the farmer will be exactly on schedule. How many goats does the farmer have?
A.12
B.24
C.48
D.60
Answer: D.60
Explanation: Say farmer has n goat and he is good for d days.:-
We have 3 equations given in question:-
(n-15) * d+4 =(n+20) *(d-3) = n * d
Solving these: (You can solve 1st and 3rd and 2nd and 3rd together)
We get:
20d-3n=60
4n-15d =60
=> n=60
Ans D it is!
Question: As a bicycle salesperson, John earns a fixed salary of $10 per week plus $6 per bicycle for the first 6 bicycles he sells, $12 per bicycle for the next 6 bicycles he sells, and $18 per bicycle for every bicycle sold after first 12. This week, he earned more than twice as much as he did last week. If he sold x bicycles last week and y bicycles this week, which of the following statements must be true? I. y<2x II. y>x III. y>3
A.II,III only
B.I,III only
C.I,II only
D.II only
Answer: A.II,III only
Explanation: II. y>x --> since this week, John earned more than he did last week and the total salary is in direct relationship with the # of bicycle sold, then y (# of bicycle sold this week) must be more than x (# of bicycle sold last week);
III. y>3 --> if John sold 3 bicycles this week then this week he earned 10+3*6=$28, which cannot be more than twice as much as he earned the last week, since the minimum salary is fixed to $10. So y must be more than 3;
I. y<2x --> is not always true.
Answer: A
Question: The Sum of the average (arithmetic mean) of the even integers from 0 to 100 inclusive and the average (arithmetic mean) of the even integers from 0 to 50 inclusive?
A.15
B.125
C.25
D.75
Answer: D.75
Explanation: So, according to A mean of a set of even numbers from 0 to 100 =(0+100)/2=50 and mean of a set of even numbers from 0 to 50 =(0+50)/2=25
Sum=50+25=75
Answer: D.