RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: The letters of the word 'SURATI' are written in all possible orders and these words are written in alphabetical order. Then what is the rank of the word 'SURITI'
A.- 236
B.- 245
C.- 307
D.- 415
Answer: D.- 415
Explanation: Total Number of Words = 6! = 720 [(number of characters)/(repeating group )!]
After S, we have T and U.
Number of words starting with T = 5! = 120
Number of words starting with U = 5! = 120
So any word starting with S will have rank < 720 - 120(for Us) - 120(for Ts) = 480
Only option A < 480, so Answer is D
Question: On a scale that measures the intensity of a certain phenomenon, a reading of d+1 corresponds to an intensity that is 10 times the intensity corresponding to a reading of d. On that scale, the intensity corresponding to a reading of 8 is how many times as great as the intensity corresponding to a reading of 3?
A. 5
B. 50
C. 10^5
D. 5^10
Answer: C. 10^5
Explanation: To solve this problem we need to examine the information in the first sentence. We are told that “a reading of d + 1 corresponds to an intensity that is 10 times the intensity corresponding to a reading of d.”
Let’s practice this idea with some real numbers. Let’s say d is 2. This means that d + 1 = 3. With the information we were given we can say that a reading of 3 is ten times as great as the intensity of a reading of 2.
Furthermore, we can say that a reading of 4 is actually 10 x 10 = 10^2 times as great as the intensity of a reading of 2.
Increasing one more unit, we can say that a reading of 5 is 10 x 10 x 10 = 10^3 times as great as the intensity of a reading of 2.
We have found a pattern, which can be applied to the problem presented in the stem:
3 is “one” unit away from 2, and thus a reading of 3 is 10^1 times as great as the intensity of a reading of 2.
4 is “two” units away from 2, and thus a reading of 4 is 10^2 times as great as the intensity of a reading of 2.
5 is “three” units away from 2, and thus a reading of 5 is 10^3 times as great as the intensity of a measure of 2.
We can use this pattern to easily answer the question. Here we are being asked for the number of times the intensity corresponding to a reading of 8 is as great as the intensity corresponding to a reading of 3. Because 8 is 5 units greater than 3, a reading of 8 is 10^5 times as great as the intensity corresponding to a reading of 3.
Answer C.
Question: Which of the following points is closest to line y=x
A.(2, -1)
B.(2, 4)
C.(-1, -2)
D.(-2, 1)
Answer: C.(-1, -2)
Explanation: Attachment:
m12-20.pngAs you can see point (-1, -2) is the closest to line y=x.
Answer: C.
Question: The present worth of Rs.169 due in 2 years at 4% per annum compound interest is
A.Rs.156.25
B.Rs.156.22
C.Rs.156.28
D.Rs.156.19
Answer: A.Rs.156.25
Explanation: Explanation:
Present Worth
=
=
= Rs.156.25
Answer: A
Question: If 4XZ + YW = 6 and XW + YZ = 12, what is the value of the expression (2X + Y)(2Z + W)?
A.9.
B.30.
C.15.
D.16.
Answer: B.30.
Explanation: (2x+y)*(2z+w) = 6+2(12) =30
Answer : B
Question: When x is divided by y, the quotient is q with remainder r. What is x in terms of r, y, and q?
A.y + r + q
B.yq + r
C.x/y+r
D.y/q+r
Answer: B.yq + r
Explanation: (x/y) = q + r
solve for x
x=(q*y)+r
Ans B.
Question: A train 150 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?
A.36
B.50
C.88
D.59
Answer: D.59
Explanation: Speed of the train relative to man
= (150/10) m/sec = 15 m/sec. [15 * (18/5)] km/hr
= 54 km/hr. Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr. x - 5
= 54 ==> x
= 59 km/hr.
Answer:D
Question: The ratio of the present ages of Ramesh and mahesh is 2:5. 10 years hence, the ratio of their ages will be 10:15. Find the difference in their present ages?
A.7.5
B.6
C.5.5
D.6.5
Answer: A.7.5
Explanation: Let the present ages of Ramesh and Mahesh be 2x and 5x years respectively.
(2x + 10)/(5x + 10) = 10/15
6x + 30 = 10x + 20 => x = 2.5
Difference in their ages will be the same at all times.
This difference = Difference of their present ages
=> 5x - 2x = 3x => 7.5 years
Answer: A
Question: The radius of a cylindrical water tank is reduced by 50%. However, the speed by which water is filled into the tank is also decreased by 50%. How much more or less time Q will it take to fill the tank now?
A. 50% less time
B. 50% more time
C. 75% less time
D. 75% more time
Answer: A. 50% less time
Explanation: (VC)Volume of the cylinderical vessal is directly proportional to R^2.
So if radius is 50% less volume will be 1/4th of the original volume.(VC/4)
Now if with velocity V tank can be filled in T1 time of volume VC
So now Velocity is 50% less i..e V/2
So time taken to fill the capacity VC/4 by V/2 velocity is T2.
VT1 = VC
V/2*T2 = VC/4
So T1/T2 = 1/2
So Tank will be filled in less time. that is Q=50 % less.A
Question: During the second quarter of 1984, a total of 2,976,000 domestic cars were sold. If this was 24% greater than the number sold during the first quarter of 1984, how many were sold during the first quarter ?
A.714,240
B.2,261,760
C.2,400,000 cars
D.3,690,240
Answer: C.2,400,000 cars
Explanation: Let number of cars sold in 1st quarter = x
Number of cars sold in 2nd quarter = 24% greater than the number sold during the first quarter = (1 + 24/100)x = 1.24 x
1.24 x = 2,976,000
=> x = 2,400,000
So, answer will be C
Question: A number when divided by a certain divisor left remainder 241, when twice the number was divided by the same divisor, the remainder was 115. Find the divisor?
A.370
B.365
C.380
D.367
Answer: D.367
Explanation: Easy solution:
N= Dq1+241
2N = 2Dq1 + 482 - (1)
2N = Dq2 + 115 - (2)
As (1) = (2) = 2N
D*(q2-2q1) = 367
D * Some integer = 367
Checking all options only (D) syncs with it.
ANswer D
Question: If A lends Rs.3500 to B at 10% per annum and B lends the same sum to C at 13% per annum then the gain of B in a period of 3 years is?
A.320
B.300
C.310
D.315
Answer: D.315
Explanation: (3500*3*3)/100 => 315
Answer: D
Question: How many minutes does Aditya take to cover a distance of 400 m, if he runs at a speed of 20 km/hr?
A.1 1/5min
B.4 1/5min
C.3 1/5min
D.2 1/5min
Answer: A.1 1/5min
Explanation: Explanation :
We know that,Time=Distance/SpeedSpeed=20 km/hr=20 x 5/18m/sec=509m/secTime =(400 x 9/50) = 72sec=1 1/5min
Answer : A
Question: How many 8's are there preceded by 0 but not followed by 1?
5 0 8 1 2 7 4 2 6 9 7 4 6 1 3 0 8 7 4 1 0 8 3 2 5 6 7 4 3 9 5 8 2 0 8 2 7 4 6 3
A.3
B.5
C.6
D.8
Answer: A.3
Explanation: 0 8 2
0 8 7
0 8 3
Only at these places 3 is preceded by 0 but not followed by 1
Answer: A
Question: Shawn is planning a bus trip across town that involves three buses. Bus 1 travels between Shawn’s house and downtown, and it leaves every half-hour starting at 7:20 AM. Shawn will need to be on bus 1 for 1.2 hours. Bus 2 travels between downtown and uptown every half-hour starting at 7:10 AM. Shawn will need to be on bus 2 for 2/3 hour. Lastly, bus 3 travels between uptown and Shawn’s destination every hour starting at 9 AM. Assuming all buses stay on schedule, what is the least amount of time Shawn must spend waiting for buses?
A. 12 minutes
B. 18 minutes
C. 48 minutes
D. 1 hour, 12 minutes
Answer: B. 18 minutes
Explanation: Here's my solution. My first approach was to brute force the objective function in this optimization problem, minimize time spent waiting between buses
Givens:
1.2 hour=1 hour,12 minutes
2 2/3 hour=2 hour,40 minutes
Once you start filling out a table, you realize that there's only 2 solutions to this problem, leaving at the 20 minute mark of any hour versus leaving at the 50 minute mark of any hour.
[Reveal]Spoiler:
Answer, B
Question: What will be the product of (25-1)*(25-2)*(25-3)*..............*(25-99)*(25-100)?
A.0
B.1
C.625
D.less than -100,000
Answer: A.0
Explanation: One of the terms is (25-25) so the product is 0.
The answer is A.
Question: A crate measures 4 feet by 8 feet by 12 feet on the inside. A stone pillar in the shape of a right circular cylinder must fit into the crate for shipping so that it rests upright when the crate sits on at least one of its six sides. What is the radius, in feet, of the pillar with the largest volume that could still fit in the crate?
A.2
B.4
C.6
D.8
Answer: D.8
Explanation: To fit the cylinder with largest radius inside this cuboid , we should make the base of the crate as wide as possible
so we will take the base as 12 feet by 8 feet
Now since the limiting number in the base is 8 feet; therefore a cylinder {we can visualise that a cylinder's width is its diameter } can only fit inside the crate if it is 8 feet or less.
Therefore the radius of the cylinder will become Diameter 2===>8/2=4 Diameter
ANSWER:D
Question: A family has two children. find the probability that both the children are boys given that at least
one of them is a boy?
A.1/3
B.3/7
C.3/11
D.4/5
Answer: A.1/3
Explanation: Let b stand for boy and g for girl. The sample space of the experiment is
S = {(g, g), (g, b), (b, g), (b, b)}
Let E and F denote the following events :
E : ‘both the children are boys’
F : ‘at least one of the child is a boy’
Then E = {(g,g)} and F = {(g,g), (g,b), (b,g)}
Now E n F = {(g,g)}
Thus P(F) = 3/4
and P (E n F )= 1/4
Therefore P(E|F) = P(E ∩ F)/P(F) = (1/4)/(3/4) = 1/3
A)
Question: Last year a worker saved 4% of her annual salary. This year, she made 10% more money than last year and she saved 5% of her salary. The amount she saved this year was what percent of the amount she saved last year?
A.137.5%
B.142.5%
C.147.5%
D.152.5%
Answer: A.137.5%
Explanation: Let x be the worker's salary last year.
Last year, she saved 0.04x.
This year, she saved 0.05(1.1x)=0.055x
0.055x/0.04x=55/40=137.5%
The answer is A.
Question: If a certain number of people can dig earth 100m deep, 25m long, and 30m broad in 12 days, then find the number of days the same number of people will require to dig earth 75m deep, 20m long and 50m broad.
A.18
B.16
C.12
D.99
Answer: C.12
Explanation: Explanation:
More number of days means – more length, more depth and more width. Hence, it’s a direct proportion.
(100*25*30):(75*20*50)::12:x
75000:75000::12:x
x = 12
ANSWER:C
Question: It takes ten minutes to fry a steak (five minutes for each side). You are frying the steaks in a pan that can accommodate only two steaks at one time. What is the least amount of time by which you can fry all the three steaks you have?
A.15 Minutes.
B.17 Minutes.
C.19 Minutes.
D.15 Minutes.
Answer: A.15 Minutes.
Explanation: D
15 Minutes.
After frying for five minutes, you can take out one steak and put the third one inside while turning the other one inside. After five more minutes, one steak is fried from both sides and you can take it out. Now put in the steak that we removed and turn the other one inside. After five more minutes, they both will also be fried from both sides.
Question: a man have 4 goat,2 sheep and 3 buffalo.he have to take three cattle out one each.with two available door.in how many ways he can out three cattle?
A.72
B.12
C.36
D.48
Answer: D.48
Explanation: from, fundamental principle of calculate
simple,4*2*3*2=48ways
answer D
Question: A can finish a work in 18 days and B can do the same work in half the time taken by A. Then, working together, what part of the same work they can finish in a day?
A.1/4
B.1/6
C.4/6
D.1/2
Answer: B.1/6
Explanation: Given that B alone can complete the same work in half the time taken by A
= 9days
A’s one day work = 1/18
B’s one day work = 1/9
(A+B)’s one day work = 1/18+1/9 = 1/6. Answer is B.
Question: Simplify (3^y + 3^y + 3^y + 3^y + 3^y) (5^y + 5^y + 5^y)
A. 15^y+1
B. 12^y+1
C. 16^y + 9^y
D. 12^y
Answer: A. 15^y+1
Explanation: A
(3^y + 3^y + 3^y + 3^y + 3^y) (5^y + 5^y + 5^y)
(5*3^y)(3*5^y)
15*15^y=15^(y+1)..
Question: if x and y are different integers and x^2=xy, which of the following must be true?
A.x=0
B.x=6
C.x=3
D.x=2
Answer: A.x=0
Explanation: (1) when x is 0, above eqn is satisfied regardless of y - true
(2) when x is not zero, the eqn is not satified
eg whn x = 2, 2*2 is not equal to 2 * 0 - false
(3) when x = -y, clearly product xy is negative.
but x^2 is positive - doesnt satify eqn
Answer A
Question: A is the average (arithmetic mean) of the first 7 positive multiples of 7 and B is the median of the first 3 positive multiples of positive integer n. If the value of A^2 – B^2 is zero, what is the value of n?
A.4
B.12
C.14
D.21
Answer: C.14
Explanation: If A^2 - B^2 = 0, then let's assume that A = B.
A must equal the 4th positive multiple of 4, thus A = 28, which also equals B.
B is the second positive multiple of n, thus n = 28/2 = 14.
The answer is C.
Question: Two trains 160 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
A.10.7
B.10.9
C.10.52
D.11.52
Answer: D.11.52
Explanation: Relative speed = 60 + 40 = 100 km/hr.
= 100 * 5/18 = 250/9 m/sec.
Distance covered in crossing each other = 160 + 160 = 320 m.
Required time = 320 * 9/250
= 11.52 sec.
Answer:D
Question: Half of 7 percent written as decimal is
A.5
B.0.5
C.0.035
D.0.025
Answer: C.0.035
Explanation: Explanation:
It will be 1/2(7%) = 1/2(7/100) = 7/200 = 0.035
Answer: Option C
Question: Fathers age is 5 times his son's age. 4 years back the father was 9 times older than son.Find the fathers' present age.
A.41
B.40
C.39
D.45
Answer: B.40
Explanation: fathers age =x sons age =y
x=5y;x-4=9(y-4)
5y-4=9y-36
y=8 so x=40
ANSWER:B
Question: If $x is invested at a constant annually compound interest rate of k percent, what is the ratio of the total amount including interest after 5n years to that after 4n years?
A.(1+k/100)^n
B.(1+k)^n
C.(1+kn/100)
D.(1+n/100)^k
Answer: A.(1+k/100)^n
Explanation: Amount after 5n years will be = x ( 1 + k/100)^5n
Amount after 4n years will be = x ( 1 + k/100)^4n
So, required ratio will be -
{ x ( 1 + k/100)^5n } / {x ( 1 + k/100)^4n } = (1+k/100)^n
Hence answer will be a. (1+k/100)^n
A
Question: An employer has 9 applicants for a programming position and 4 applicants for a manager position. If the employer must hire 3 programmers and 2 managers, what is the total number of ways the employer can make the selection?
A.a) 1,490
B.b) 132
C.c) 504
D.d) 60
Answer: C.c) 504
Explanation: 9C3 * 4C2 = 504. Answer C.
Question: If 80% of a number is equal to four-third of another number, what is the ratio of first number to the second number?
A.5:3
B.1:4
C.3:7
D.6:11
Answer: A.5:3
Explanation: Let 80% of A = 4/3 B
then 80A/100 = 4B/3
4A/5 = 4B/3
A/B = 5/3
A:B = 5:3
Answer is A
Question: At a certain company, each employee has a salary grade s that is at least 1 and at most 6. Each employee receives an hourly wage p, in dollars, determined by the formula p = 9.50 + 0.25(s – 1). An employee with a salary grade of 6 receives how many more dollars per hour than an employee with a salary grade of 1?
A.$0.50
B.$1.00
C.$1.25
D.$1.50
Answer: C.$1.25
Explanation: Salary grade of 6 is p(6)=9.50+0.25(6–1)=9.50+0.25*5;
Salary grade of 1 is p(1)=9.50 + 0.25(1–1)=9.50;
p(6)-p(1)=9.50+0.25*5-9.50=1.25.
Answer: C.
Question: At a recent small town election for mayor a total of 971 votes were cast for the four candidates, the winner exceeding his opponents by 53, 79 and 105 votes, respectively. How many votes were cast for the candidate in fourth place?
A.134
B.178
C.197
D.166
Answer: C.197
Explanation: The number of votes the winning candidate received was
971 + 53 + 79 + 105	/4= 302.
The second received 302 – 53 = 249,
The fourth place received 302 – 105 = 197.
C
Question: -84*29+365=?
A.2436
B.2801
C.-2801
D.-2071
Answer: D.-2071
Explanation: => -84*(30-1)+365;
=> -(84*30)+84+365;
=> -2520+449=-2071.
Correct Option: D
Question: Given that there are 4 basketball players per team, how many ways can you select 2 basketball players from 3 teams if no more than one player can be selected from each team?
A. 15
B. 30
C. 48
D. 75
Answer: C. 48
Explanation: 2 teams can be selected from 3 teams in 3C2 ways = 3 ways
as the condition is that the 2 players should be from different teams
one player can be chosen from 1st team in 5 ways
similarly another player can be chosen from 2nd team in 5 ways
Total number of ways to choose the player = 4 * 4 * 3 = 48 ways
Correct Answer - C
Question: 9 people decided to split the Travel expenditures evenly. If the bill was $546,874 dollars, how much amount in dollars should be added to the bill to make it split evenly across everyone?
A.$546,872
B.$546,874
C.$546,876
D.$546,878
Answer: C.$546,876
Explanation: This is equivalent to finding the first number that is divisible by 9 that occurs after 546,874.
In order to divide the sum in 9 parts, the amount must be divisible by 9
Divisibility rule of 9: The sum of the digits must be divisible by 9
Sum of digits of 546,874 = 34 and 18 is divisible by 9.
Hence, we need to add 2 to this number for it to be divisible by 9
Correct Option: C
Question: The volume of a certain substance is always directly proportional to its weight. If 48 cubic inches of the substance weigh 112 ounces, what is the volume, in cubic inches, of 84 ounces of this substance?
A.27
B.36
C.42
D.64
Answer: B.36
Explanation: 112 ounces of a substance has a volume of 48 cubic inches
84 ounces of a substance has a volume of (48/112)*84 = 36 cubic inches
Answer B
Question: A store reported total sales of $385 million for February of this year. If the total sales for the same month last year was $320 million, approximately what was the percent increase E in sales?
A. 2%
B. 17%
C. 20%
D. 65%
Answer: C. 20%
Explanation: Last year's sales = $320 million;
This year's sales = $385 million;
Increase E = $65 million.
Now, 20% of $320 million is $64 million, which is very close to actual increase of $65 million.
Answer: C.
Question: The remainder when dividing the expression (X + Y) by 5 is 4. The remainder of X divided by 10 is 2. What is the remainder A of Y divided by 5?
A.A=1.
B.A=2.
C.3.
D.4.
Answer: B.A=2.
Explanation: X divided by 10 gives reminder of 2. X can be 2/12/22....
X+Y divided by 5 is 4. X+Y can be 4/ 9/ 19....
If X+Y= 4 and X is 2 then Y = 2 and Y/5 will give a reminder of 2
Similarly, if X+Y= 9 and X = 2, then y/5 will give a reminder of 2
Hence the answer must be 2 (B)
Also....
x+y=5m+4 and x=10K+2
hence 10k+2+y=5m+4 or y=5(m-2k)+2, m-2k being a constant remainder is 2 hence answer is B
Question: The mean of 50 observations was 36. It was found later that an observation 30 was wrongly taken as 23. The corrected new mean is :
A.36.02
B.36.14
C.36.12
D.36.11
Answer: B.36.14
Explanation: Explanation:
Correct Sum = (36 * 50 + 30 - 23) = 1825.
Correct mean = = 1807/50 = 36.14
Answer: B) 36.14
Question: Monika purchased a pressure cooker at 9/10th of its selling price and sold it at 8% more than its S.P .find her gain percent.
A.12%
B.20%
C.15%
D.36%
Answer: B.20%
Explanation: Let the s.p be Rs. X .then C.P = Rs.9x/10,Receipt=108% of rs.x=Rs 27x/25
Gain=Rs (27x/25*9x/10)=Rs(108x-90x/100)=Rs18x/100
Gain%=(18x/100*10/9x*100)%=20%
Ans: B
Question: The average temperature for Monday, Tuesday, Wednesday and Thursday was 48 degrees and for Tuesday, Wednesday, Thursday and Friday was 46 degrees. If the temperature on Monday was 42 degrees. Find the temperature on Friday?
A.15
B.26
C.34
D.25
Answer: C.34
Explanation: M + Tu + W + Th = 4 * 48 = 192
Tu + W + Th + F = 4 * 46 = 184
M = 42
Tu + W + Th = 192 -42 = 150
F = 184 – 150 = 34
C
Question: Jacob marks his goods up by 75% and then offers a discount on the marked price. The profit that he makes after offering the discount is 40%. What % discount did Jacob offer?
A.15%
B.20%
C.25%
D.35%
Answer: B.20%
Explanation: Solution:
let x is the cost price.
so profit 40% means final selling price = 1.40x
marked up price = 1.75x
let discount be r%
so
1.40x=1.75x(1 - r/100)
after solving the equation r= 20%
ANSWER:B
Question: If the integer n leaves a remainder of 4 when divided by 5, then what is the largest possible
remainder when 2n is divided by 15?
A.10
B.11
C.12
D.13
Answer: D.13
Explanation: Since n leaves a remainder of 4 when divided by 5, it leaves a remainder of 4, 9, or
14 when divided by 15. Thus 2n leaves a remainder of 2 * 4 = 8, 2 * 9-15 = 3, or 2 *14-15 = 13
when divided by 15, and the maximum remainder is 13 .
correct answer D
Question: If the operation € is defined for all x and y by the equation x € y = 3*x*y, then 3 € (4 € 5) =
A.80
B.120
C.160
D.540
Answer: D.540
Explanation: working inside out,
(4 € 5) = 3*4*5 = 60
3 € 60 = 3*3*60 = 540
Hence, answer is D
Question: The probability that a number selected at random from the first 50 natural numbers is a composite number is -.
A.16/11
B.17/25
C.15/15
D.11/11
Answer: B.17/25
Explanation: The number of exhaustive events = 50C1 = 50.
We have 15 primes from 1 to 50.
Number of favorable cases are 34.
Required probability = 34/50 = 17/25
Answer: B
Question: Abby and Bobby type at constant rates of 80 words per minute and 60 words per minute, respectively. Bobby begins typing before Abby and has typed 400 words when Abby begins typing at 1:30 pm. If they continue typing at their respective rates, at what time will Abby have typed exactly 200 more words than Bobby?
A.1:40 PM
B.1:50 PM
C.2:00 PM
D.2:10 PM
Answer: C.2:00 PM
Explanation: Say time needed for Abby to type 200 more words than Bobby is t. In that time she would type 80t words and Bobby would type 60t words.
Now, total words typed by Bobby would be 600+60t and we want that number to be 200 less than 80t: 400+60t=80t-200 --> t=30.
1:30 PM + 30 minutes = 2:00 PM.
Answer: C.
Question: What is the sum of all remainders obtained when the first 300 natural numbers are divided by 9?
A.397
B.401
C.403
D.405
Answer: D.405
Explanation: A positive integer can give only the following 9 remainders when divided by 9: 1, 2, 3, 4, 5, 6, 7, 8, and 0.
1 divided by 9 gives the remainder of 1;
2 divided by 9 gives the remainder of 2;
...
8 divided by 9 gives the remainder of 8;
9 divided by 9 gives the remainder of 0.
We'll have 11 such blocks, since 99/9=11. The last will be:
91 divided by 9 gives the remainder of 1;
92 divided by 9 gives the remainder of 2;
...
98 divided by 9 gives the remainder of 8;
99 divided by 9 gives the remainder of 0.
The last number, 100, gives the remainder of 1 when divided by 9, thus the sum of all remainders will be:
11(1+2+3+4+5+6+7+8+0)+1=405.
Answer: D.
Question: Evaluate 28% of 350 + 45% of 280
A.224
B.242
C.252
D.262
Answer: A.224
Explanation: Explanation:
= (28/100) * 350 + (45/100) * 280
= 98 + 126 = 224
Answer: Option A
Question: {-10, -6, -5, -4, -2.5, -1, 0, 2.5, 4, 6, 7, 10}
A number is to be selected at random from the set above. What is the probability that the number will be a solution to the equation (x3)(x+14)(2X+5) = 0?
A.1/12
B.1/6
C.1/4
D.1/3
Answer: A.1/12
Explanation: x = -4
Prob = 1/12
Answer - A
Question: Sarah made $45 more than Kara yesterday. Today, they each made the same amount of money as yesterday and it totaled $834. How much would Kara make in 5 days if she continues to make the same amount of money every day.
A.$225
B.$879
C.$930
D.$2,085
Answer: C.$930
Explanation: S-K=45
2(S+K)=834
Solving the 2 equations, you get, S=$231 and K=$186
So $186x5=$930
Correct Answer: C
Question: What will be the fraction of 20%
A.1/4
B.1/5
C.1/10
D.1/11
Answer: B.1/5
Explanation: Explanation:
It will 20*1/100 = 1/5
Option B
Question: Mary, Bernie, and Rose can complete a job, all working together, in 4 hours. Mary and Bernie, working together at their respective rates, can complete the same job in 5 hours. How long would it take Rose, working alone, to complete the entire job?
A.8 hours
B.10 hours
C.12 hours
D.20 hours
Answer: D.20 hours
Explanation: If Mary, Bernie, and Rosecan complete a job in 4 hours, they can complete 1/4 of the job in an hour. Furthermore, if Mary and Bernie can complete the same job in 5 hours, they can do 1/5 of the entire job in an hour.
If the three of them can do 1/4 of a job in an hour, and without Colleen the other two can do 1/5 of a job in an hour, then the amount of the job Colleen can do in an hour is the difference of these results:
1/4 – 1/5 = 5/20 – 4/20 = 1/20.
Since Colleen can do 1/20 of the job in an hour, it will take her 20 hours to do the entire job by herself.
The correct answer is choice (D).