RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: The population of a town is 10000. It increases annually at the rate of 25% p.a. What will be its population after 2 years?
A.14000
B.14400
C.14500
D.15625
Answer: D.15625
Explanation: Formula :
10000 × 125/100 × 125/100 = 15625
Answer : D
Question: If (t-8) is a factor of t^2-kt-47, then k=
A.16
B.12
C.2
D.6
Answer: D.6
Explanation: t^2-kt-48 = (t-8)(t+m) where m is any positive integer.
if 48/8 = 6, then we know as a matter of fact that:
m = +6
and thus k = 8-6 = 6
t^2-kt-m = (t-a)(t+m) where a>m
t^2+kt-m = (t-a)(t+m) where a<m
t^2-kt+m = (t-a)(t-m)
t^2+kt+m = (t+a)(t+m)
D
Question: There are 3 red chips and 2 blue ones. When arranged in a row, they form a certain color pattern, for example RBRRB. How many color patterns?
A.10
B.12
C.24
D.60
Answer: A.10
Explanation: There are 3 red chips and 2 blue ones.
When arranged in a row, they form a certain color pattern, for example RBRRB. How many color patterns?
10
12
24
60
100
Soln: Total number of patterns is 5!
Since 3 red chips are identical and 2 blue ones are identical thus we have
= 5!/(2! * 3!)
= 10 such different patterns A
Question: What annual payment dischargea debit of Rs.12900, due in 4yrs.At 5% rate?
A.2000
B.2200
C.3000
D.3400
Answer: C.3000
Explanation: A.P.=(200X12900)/[4(200+5X3)]=3000 Ans
Alternative
100+105+110+115=12900
430=12900
100=12900/(430)X100=3000
C
Question: A number is such when, twice the number is divided by 3d it gives a remainder as 20. And when five times of it is divided by 4d it gives remainder as 32. Find the value of d.
A.13
B.14
C.15
D.16
Answer: B.14
Explanation: d=14
ANSWER:B
Question: Carmelo and LeBron participate in a seven-person footrace on the basketball court during All-Star Weekend. If all seven contestants finish (including Charles Barkley) and there are no ties, how many different arrangements of finishes are there in which Carmelo defeats LeBron?
A. 5040
B. 2520
C. 720
D. 120
Answer: B. 2520
Explanation: PRINCETON REVIEW OFFICIAL SOLUTION:
Carmelo beats LeBron? Carmelo beats LeBron? No one said anything about specific results, especially not on a question that includes so many people.
Many questions on the GMAT can be overwhelming in appearance so first thing…Relax. This question looks nasty, but it’s pretty straightforward, requiring two things: the basic first calculation and then some additional work to solve the problem. It would be extremely painful to try to calculate this whole question in one fell swoop. So don’t.
Calculate out all possibilities first to get your bearings. That is, how many different arrangements, period? Since the order of arrangement again matters, this is another permutation. And since we’re placing all seven runners, this calculation is…
7 x 6 x 5 x 4 x 3 x 2 x 1, cash and prizes worth 5040 arrangements.
Now, what to do? Again, some nice deep breathing to control your nerves – relax and think. These 5040 arrangements are a comprehensive list; every possible seven-person order of finish has been counted. So, we have accounted for every time Carmelo beats LeBron AND every time LeBron beats Carmelo. Doesn’t it make sense that, for every time Carmelo beats LeBron, there is exactly one other instance in which LeBron beats Carmelo? Or more simply, doesn’t it make sense that, if these 5040 represents everything, that Carmelo beats LeBron exactly 50% of the time and vice versa?
The thought takes time. You need to have the presence to recognize that grinding your way in, around, and through this question could take roughly forever. Stepping back and recognizing that this is simply a 50/50 proposition and applying that thought to the 5040 you cranked out gives you 2520. The answer is B.
Question: A convoy of 7 trucks, each 22 meters in length, pass through a construction zone 1/2 km long. Through the construction zone, they travel 3 m/s maintaining a distance of five meters between them. How long does it take for the entire convoy to make it through the zone?
A.3 min 22 sec
B.3 min 48 sec
C.4 min 12 sec
D.4 min 20 sec
Answer: B.3 min 48 sec
Explanation: B
3 min 48 sec
There are 7 trucks of 22 m with six 5-m gaps between them passing a distance of 500 m.
d = 7 * 22 m + 6 * 5 m + 500 m = 684 m
T = 684 m / 3 m/s = 228 s = 3 min 48 sec
Question: At a certain diner, Joe ordered 3 doughnuts and a cup of coffee and was charged $ 2.25. Stella ordered 2 doughnuts and a cup of coffee and was charged $ 1.75. What is the price of 2 doughnuts?
A.$ 0.55
B.$ 1.00
C.$ 1.10
D.$ 1.30
Answer: B.$ 1.00
Explanation: 3D + C = 2.25......(1)
2D + C = 1.75........(2)
(1) - (2) --> D = 0.50 --> 2D = 1.0
Answer: B
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are drawn at random, what is the probability that at least one is green?
A.25
B.9/8
C.23/35
D.4/12
Answer: C.23/35
Explanation: Explanation:
Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles.
Probability that at least one green marble can be picked in the random draw of two marbles = Probability that one is green + Probability that both are green
= (â¶Câ‚ * â¹Câ‚)/Â¹âµCâ‚‚ + â¶Câ‚‚/Â¹âµCâ‚‚
= (6 * 9 * 2)/(15 * 14) + (6 * 5)/(15 * 14) = 36/70 + 1/7
= 46/70 = 23/35
Answer: C
Question: Square RSTU shown above is rotated in a plane about its center in a clockwise direction the minimum number of degrees necessary for U to be in the position where R is now shown. The number of degrees through which RSTU is rotated is
A. 135 degree
B. 180 degree
C. 90 degree
D. 270 degree
Answer: C. 90 degree
Explanation: From the options, I am assuming the positioning of R and U relative to each other to be as shown. To replace R by U, focus on OU. Say, you rotate OU clockwise (and with it the entire square) and bring it in place of OR. How many degrees did you go? You covered 1 right angles i.e. 90 degrees.
Answer : C
Question: If 2 tables and 3 chairs cost Rs, 3500 and 3 tables and 2 chairs cost Rs. 4000, then how much does a table cost ?
A.500
B.1000
C.1500
D.2000
Answer: B.1000
Explanation: Explanation:
Let the cost of a table and that of a chair be Rs. x and Rs, y respectively.
Then, 2x + 3y = 3500 ...(i)
and 3x + 2y = 4000 .....(ii)
solving (i) and (ii) we get x = 1000, y = 500
Answer: B
Question: In a competitive examination in State A, 6% candidates got selected from the total appeared candidates. State B had an equal number of candidates appeared and 7% candidates got selected with 84 more candidates got selected than A. What was the number of candidates appeared from each State?
A.7000
B.8400
C.6000
D.5000
Answer: B.8400
Explanation: State A and State B had an equal number of candidates appeared.
In state A, 6% candidates got selected from the total appeared candidates
In state B, 7% candidates got selected from the total appeared candidates
But in State B, 84 more candidates got selected than State A
From these, it is clear that 1% of the total appeared candidates in State B = 84
=> total appeared candidates in State B = 84 x 100 = 8400
=> total appeared candidates in State A = total appeared candidates in State B = 8400
Question: A clock is set right at 5 a.m. The clock loses 16 minutes in 24 hours.What will be the true time when the clock indicates 10 p.m. on 4th day?
A.11
B.27
C.62
D.62
Answer: A.11
Explanation: Time from 5 am. on a day to 10 pm. on 4th day = 89 hours.
Now 23 hrs 44 min. of this clock = 24 hours of correct clock.
356/15 hrs of this clock = 24 hours of correct clock
89 hrs of this clock = (24 x 31556 x 89) hrs of correct clock.
= 90 hrs of correct clock.
So, the correct time is 11 p.m.
Answer: A
Question: The roof of an apartment building is rectangular and its length is 4 times longer than its width. If the area of the roof is 900 feet squared, what is the difference between the length and the width of the roof?
A.38.
B.40.
C.42.
D.45.
Answer: D.45.
Explanation: Answer is D : 45
Let w be the width , so length is 4w. Therefore : w*4w = 900, solving for, w = 15 , so 4w-w = 3w = 3*15 = 45
Question: (786×74) ÷ ? = 1938.8
A.A)4.8
B.B)48
C.C)30
D.D)68
Answer: C.C)30
Explanation: Explanation:
58164/x = 1938.8=> x = 58164/1938.8 = 30
Answer: Option C
Question: A 600 meter long train crosses a signal post in 60 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?
A.4 min
B.2 min
C.6 min
D.9 min
Answer: C.6 min
Explanation: S = 600/60 = 10 mps
S = 3600/10 = 360 sec = 6 min
Answer: C
Question: It takes 4 tons of copper ore and 6 tons of iron ore to make one ton of alloy A. How many tons of alloy A can be made from 60 tons of copper ore and 90 tons of iron ore?
A. 12
B. 15
C. 20
D. 30
Answer: B. 15
Explanation: Yes, you need copper ore:iron ore in the ratio 4:6. Total 10 tons of the mix in this ratio will give 1 ton of alloy A.
If you have 60 tons of copper ore, it is enough for 60/4 = 15 tons of alloy A.
If you have 90 tons of iron ore, it is enough for 90/6 = 15 tons of alloy A.
Since iron ore is available for only 15 tons of alloy A, you can make only 15 tons of alloy A.
The leftover copper ore alone cannot make any alloy A and hence will be leftover only.
Answer must be 15.
(B)
Question: The area of one square is x^2 + 6x + 9 and the area of another square is 4x^2 − 28x + 49. If the sum of the perimeters of both squares is 56, what is the value of x?
A.3
B.4
C.5
D.6
Answer: D.6
Explanation: The areas are (x+3)^2 and (2x-7)^2.
The lengths of the sides are x+3 and 2x-7.
If we add the two perimeters:
4(x+3) + 4(2x-7) = 56
12x = 72
x = 6
The answer is D.
Question: Antonio works in a bakery. He made cookies that cost $3 and made $300. How many customer did he have?
A.100 customers
B.185 customers
C.250 customers
D.200customers
Answer: A.100 customers
Explanation: A cookie costs $3 adding another one is $6. 300 divided by 6 is 50x 2 is 100. He had 100 customers.
The correct answer is A.
Question: A goods train runs at the speed of 72 kmph and crosses a 250m long platform in 26seconds. what is the length of the goods train?
A.230 m
B.240 m
C.260 m
D.270 m
Answer: D.270 m
Explanation: Speed =(72 *5/18)m/sec= 20 m/sec.
then (x+250)/26=20
x+250 =520
x=520-250
then x=270
Answer: D
Question: If an average hard drive had a capacity of 0.1 TB in 2000, and average hard drive capacities double every 5 years, what will be the average hard drive capacity in 2050?
A.256
B.512
C.768
D.1024
Answer: D.1024
Explanation: 0.1*2^10=0.1*1024=102.4
The answer is D.
Question: A box contains 24 electric bulbs, out of which 4 are defective. Two bulbs are chosen at random from this box. The probability that at least one of these is defective is
A.4/19
B.7/19
C.12/19
D.24/77
Answer: D.24/77
Explanation: Solution
P( None is defective)
= 20C2 / 24C2
= 53/77.
P( at least one is defective)
= (1- 53/77)
= 24/77.
Answer D
Question: The division of a whole number N by 13 gives a quotient of 15 and a remainder of 2. Find N.
A.197
B.195
C.200
D.250
Answer: A.197
Explanation: Solution
According to the division process of whole numbers, N can be written, using multiplication, as follows
N = quotient × divisor + remainder = 15 × 13 + 2 = 197
ANSWER IS A
Question: The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle?
A.1 : 96
B.1 : 48
C.1 : 84
D.1 : 68
Answer: A.1 : 96
Explanation: Let the length and the breadth of the rectangle be 4x cm and 3x respectively.
(4x)(3x) = 6912
12x2 = 6912
x2 = 576 = 4 * 144 = 22 * 122 (x > 0)
=> x = 2 * 12 = 24
Ratio of the breadth and the areas = 3x : 12x2 = 1 : 4x = 1: 96.
ANSWER:A
Question: A and B can do a piece of work in 45 days and 40 days respectively. They began to do the work together but A leaves after some days and then B completed the remaining work in 23 days. The number of days after which A left the work was?
A.12
B.11
C.10
D.9
Answer: D.9
Explanation: Let the total units of work to be done be 360.
The units of work done by A in a single day = 8
Similarly, the units of work done by B in a single day = 9.
A and B’s one day work = 17 units
A and B worked together for some days = 17X ( Assume)
B’s work alone for 23 days = 23 x 9 = 207
So, the work done by A and B together = (360 - 207) = 153 units
Therefore, 17X = 153
=> 9 units
Therefore, the number of days after which A left the work was 9 days.
ANSWER:D
Question: A car ferry can hold up to 70 tons of cargo. What is the greatest number of vehicles that the ferry can carry if half the vehicles are cars with an average (arithmetic mean) weight of 0.75 tons and half of the vehicles are trucks with an average (arithmetic mean) weight of 4 tons?
A.14
B.20
C.28
D.32
Answer: C.28
Explanation: The weight of one car and one truck is 4.75 tons.
70/4.75 = 14 plus a remainder
The ferry could carry 14 cars and 14 trucks for a total of 28 vehicles.
The answer is C.
Question: Find the exact time between 7 am and 8 am when the two hands of a watch meet ?
A.7 hrs 35 min
B.7 hrs 36.99 min
C.7 hrs 38.18 min
D.7 hrs 42.6 min
Answer: C.7 hrs 38.18 min
Explanation: 55 min spaces are gained in 60 min
⇒ 35 min spaces will be gained in 38.18 min.
⇒ Answer = 7 hrs + 38.18 min.
Answer C
Question: Of the 800 employees of Company P, 60 percent have been with the company for at least ten years. If q of theselong-termmembers were to retire and no other employee changes were to occur, what value of q would reduce the percent oflong-termemployees in the company to 50 percent ?
A.200
B.160
C.112
D.80
Answer: B.160
Explanation: The # oflong-termemployees is 60%*800=480.
After q of them retire new # oflong-termemployees would become 480-q.
Total # of employees would become 800-q.
We want 480-q to be 50% of 800-q --> 480-q=(800 -q)*50% --> q = 160.
Answer: B.
Question: Three cricket players -- Ramesh, Suresh and Ganesh play for three different cricket Teams Haryana, Delhi and Rajasthan respectively. Ramesh was born in Chennai but brought up in Karnal, Haryana. Suresh was born in Delhi and brought up in Delhi. Ganesh's fore-fathers were from Madurai but settled in Rajasthan. All the three participated in a cricket tournament. Ramesh's runs to Suresh's runs and Suresh's runs to Ganesh's runs are in the ratio 5:7. If the total runs scored by all the three players in the tournament is 327, find the total runs scored by Suresh in the tournament?
A.95
B.85
C.65
D.105
Answer: D.105
Explanation: Ramesh:suresh=5:7 and Suresh:Ganesh=5:7
By making suresh to be equal in two ratios, we get
R:S=25:35 and S:G=35:49
So, Total runs scored by them=109x=327
x=327/109=3
Total runs scored by suresh=35*x=35*3=105
ANSWER:D
Question: Two trains, each 100 m long, moving in opposite directions, cross other in 8 sec. If one is moving twice as fast the other, then the speed of the faster train is?
A.40
B.50
C.60
D.70
Answer: C.60
Explanation: Let the speed of the slower train be x m/sec.
Then, speed of the train = 2x m/sec.
Relative speed = ( x + 2x) = 3x m/sec.
(100 + 100)/8 = 3x => x = 25/3.
So, speed of the faster train = 50/3 = 50/3 * 18/5 = 60 km/hr.
Answer: Option C
Question: A collector collects stamps from foreign countries. In June, she gave 20 percent of her stamps to her friend. In July, she gave 10 percent of her remaining stamps to another friend. If these were the only changes in the number of stamps in the stamp collection during those two months, what percent of her collection at the beginning of June did she give to away in June and July?
A.20%
B.24%
C.28%
D.32%
Answer: C.28%
Explanation: Let x be the number of stamps in the original collection.
The percentage of the collection given away is:
0.2x + 0.1(0.8x) = 0.2x + 0.08x = 0.28x = 28%
The answer is C.
Question: Carol and Jordan draw rectangles of equal area. If Carol's rectangle measures 8 inches by 15 inches and Jordan's rectangle is 4 inches long, how wide is Jordan's rectangle, in inches?
A.24
B.26
C.28
D.30
Answer: D.30
Explanation: Area of first rectangle is 8*15=120 hence area of second would be 4x=120x
x=30
answer is D
Question: Peter rolls two dice at the same time. What is the probability that the total sum of numbers on the dices is 3?
A.a) 1/12
B.b) 1/36
C.c) 1/6
D.d) 1/18
Answer: D.d) 1/18
Explanation: We can have 6 different outcomes on a dice.
Total outcomes on two dices = 6*6
We need only the cases where sum of the outcomes is 3,
They can be {1, 2}, {2, 1}
A total of 2 outcomes
Probability = favorable outcomes/ total outcomes = 2/36 = 1/18.
Option D
Question: Let A = {x: x is a natural number and a factor of 18}
B= {x: x is a natural number and less than 6}
Find A ∪ B and A ∩ B
A.A ∩ B = {1,2,3}
B.A ∩ B = {2,5,4}
C.A ∪ B = {5,7,9}
D.A ∪ B = {1,2,3}
Answer: A.A ∩ B = {1,2,3}
Explanation: A= {1,2,3,6,9,18}
B= {1,2,3,4,5} Therefore , correct answer : A ∩ B = {1,2,3} (A)
Question: How much greater is the combined area in square inches of the front and back of a rectangular sheet of paper measuring 11 inches by 9 inches than that of a rectangular sheet of paper measuring 4.5 inches by 11 inches?
A.50%
B.87%
C.100%
D.187%
Answer: C.100%
Explanation: Let's just look at the dimensions (no calculation needed).
With dimension 11 the same, the other dimension 9 is twice 4.5
Then the area will be double which means 100% greater.
The answer is C.
Question: 756 can be expressed as a product of primes as
A.2 × 2 × 3 × 3 × 7 × 7
B.2 × 3 × 3 × 3 × 7 × 7
C.2 × 2 × 2 × 3 × 3 × 7
D.2 × 2 × 3 × 3 × 3 × 7
Answer: D.2 × 2 × 3 × 3 × 3 × 7
Explanation: Explanation:
It is clear that 756 = 2 × 2 × 3 × 3 × 3 × 7
Answer: Option D
Question: The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years. Find the average age of the women?
A.11
B.12
C.30
D.98
Answer: C.30
Explanation: 20 + 24 + 8 * 2 = 60/2 = 30
Answer: C
Question: A box contains 4 yellow balls and 5 black balls. One by one, every ball is selected at random without replacement. What is the probability that the fourth ball selected is black?
A.2/5
B.3/7
C.5/9
D.2/3
Answer: C.5/9
Explanation: Each ball has an equal chance (1/9) of being selected fourth.
The probability that a black ball is selected fourth is 5/9.
The answer is C.
Question: A team has to design a flag. The team two yellow strips of cloth and four green strips of cloth that they must use as is to make the flag. How many different flags can the team design with the materials at hand?
A.15
B.48
C.240
D.288
Answer: A.15
Explanation: The # of permutations of total 2+4=6 strips where 2 are identical yellow and 4 are identical green is 6!/(2!*4!)=15 (note that they must use all the materials at hand, also I guess that the strips must be either only vertical or only horizontal).
Answer: A.
Question: Due to construction, the speed limit along an 5-mile section of highway is reduced from 60 miles per hour to 40 miles per hour. Approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit ?
A.A) 3.12
B.B) 2.5
C.C) 10
D.D) 15
Answer: B.B) 2.5
Explanation: Old time in minutes to cross 5 miles stretch = 5*60/60 = 5*1/1 = 5
New time in minutes to cross 5 miles stretch = 5*60/40 = 5*3/2 = 7.5
Time difference = 2.5
Ans:B
Question: Two trains 140 m and 170 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.10.9 sec
B.11.16 sec
C.53.8 sec
D.10.8 sec
Answer: B.11.16 sec
Explanation: Relative speed = 60 + 40 = 100 km/hr.
= 100 * 5/18 = 250/9 m/sec.
Distance covered in crossing each other = 140 + 170 = 310 m.
Required time = 310 * 9/250 = 11.16 sec.
Answer: B:
Question: If the perimeter of a rectangular garden is 600 m, its length when its breadth is 150 m is?
A.150 m
B.899 m
C.200 m
D.166 m
Answer: A.150 m
Explanation: 2(l + 150) = 600 => l
= 150 m
Answer: A
Question: Find a sum for 1st 5 prime number's?
A.25
B.28
C.30
D.34
Answer: B.28
Explanation: Required sum = (2 + 3 + 5 + 7 + 11) = 28
Note: 1 is not a prime number
Option B
Question: In a ranch, the total number of black horses is 18% more than the number of male black horses. The total number of female horses is 16 times the number of black female horses. What percentage of male horses are black if the total number of male horses is double the number of female horses?
A.17.4
B.18.6
C.19.2
D.22.9
Answer: A.17.4
Explanation: Since we are dealing in percentage let us pick 100 as the number of black male horses.
That means that the total number of black horse is= 110 (18% more),
therefore the number of black female horse is 18.
The total number of female horses is 16x the number of black female horses= 16*18=288 female horses.
Male horse total population is twice the population of the female horses= 288*2=576
Therefore percentage of male horses that are brown= 100/576*100=17.4
Correct option is A
Question: 49 x 49 x 49 x 49 = 7?
A.4
B.7
C.8
D.16
Answer: C.8
Explanation: Solution
49 * 49 * 49 * 49 = (72 * 72 * 72 * 72) = 7(2 + 2 + 2 + 2) = 78
so, the correct answer is 8
Answer C
Question: A bag consists of 60 marbles, of which 5 are blue, 9 are red, and the remainder are white. If Lisa is to select a marble from the bag at random, what is the probability that the marble will be red or white?
A.11/12
B.2/4
C.1/4
D.1/8
Answer: A.11/12
Explanation: bag consists of 60 marbles, of which 5 are blue, 9 are red
remainder are white. So, white = 60 - 5 - 9 = 46.
probability that the marble will be red or white = probability that the marble will be red + probability that the marble will be white
probability that the marble will be red or white = 9/60+46/60 = 55/60 = 11/12
Hence, answer will be A.
Question: Harriet planned to complete a certain task on Wednesday, January 1, but because of illness the completion date was postponed 43 days. On which day of the week in February was the task completed?
A.Monday
B.Tuesday
C.Wednesday
D.Thursday
Answer: D.Thursday
Explanation: This type of story problem is essentially just about a repeating pattern and a 'remainder.'
We're told that Harriet planned to complete a certain task on WEDNESDAY, January 1, but because of illness the completion date was postponed 43 DAYS. We're asked on what day of the week the task was actually completed on.
Since the task was supposed to be completed on a Wednesday....
A 1 day postponement would be Thursday
A 2 day postponement would be Friday
A 3 day postponement would be Saturday
A 4 day postponement would be Sunday
A 5 day postponement would be Monday
A 6 day postponement would be Tuesday
A 7 day postponement would be Wednesday
A 8 day postponement would be Thursday
Etc.
So this question is ultimately asking how many 'groups of 7' are there, and how many 'leftover days' are there, when you postpone 43 days.
43/7 = 6 remainder 1
This means that there are 6 full weeks AND 1 extra day after a Wednesday....Thus, the task was completed on a Thursday.
D
Question: A cube of side 8 meter length is cut into small cubes of side 16 cm each. How many such small cubes can be obtained?
A.10780
B.127600
C.125000
D.152000
Answer: C.125000
Explanation: Along one edge, the number of small cubes that can be cut
= 800/16 = 50
Along each edge 50 cubes can be cut. (Along length, breadth and height). Total number of small cubes that can be cut
=50 * 50 * 50 = 125000
Answer:C
Question: Set X consists of the integers from 0 to 12, inclusive, while set Y consists of the integers from 6 to 10, inclusive. How many distinct integers do belong to the both sets at the same time?
A.4
B.10
C.5
D.9
Answer: C.5
Explanation: X= {0,1,2,3,4, 5,6, 7, 8, 9, 10, 11, 12}
Y = {6, 7, 8, 9, 10}
Common elements = {6, 7, 8, 9, 10} = 5 elements
Answer: Option C.
Question: Maxwell leaves his home and walks toward Brad's house at the same time that Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 110 kilometers, Maxwell's walking speed is 4 km/h, and Brad's running speed is 7 km/h, what is the distance traveled by Brad?
A. 16
B. 18
C. 20
D. 70
Answer: D. 70
Explanation: Time taken = Total Distance / Relative Speed
Total Distance = 110 kms
Relative Speed (Opposite side) (As they are moving towards each other speed would be added ) = 7+ 4 = 11 kms/hr
Time taken = 110 / 11 = 10 hrs
Distance traveled by Brad = Brad's speed * time taken = 7 * 10 = 70 kms... Answer - D