RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Pavan travelled for 11 hours. He covered the first half of the distance at 30 kmph and remaining half of the distance at 25 kmph. Find the distance travelled by Pavan.
A.208 km
B.637 km
C.342 km
D.300 kilometre
Answer: D.300 kilometre
Explanation: Let the distance travelled be x km.
Total time = (x/2)/30 + (x/2)/25 = 11
=> x/60 + x/50 = 11 => (5x + 6x)/300
= 11 => x = 300 km
Answer:D
Question: A sum of Rs.7000 is invested at a compound interest for three years, the rate of interest being 10% p.a., 20% p.a. and 25% p.a. for the 1st, 2nd and the 3rd years respectively. Find the interest received at the end of the three years.
A.A)282
B.B)4550
C.C)8383
D.D)8383
Answer: B.B)4550
Explanation: Let A be the amount received at the end of the three years.
A = 7000[1 + 10/100][1 + 20/100][1 + 25/100]
A = 7000 * 1.65
A = Rs.11550
So the interest = 11550 - 7000 = Rs.4550
Answer: B
Question: If y exceeds x by 28%, then x is less than y by?
A.16 2/8%
B.16 8/3%
C.21 7/8%
D.76 2/3%
Answer: C.21 7/8%
Explanation: X=100	y=128
128------28
100-------? => 21 7/8%
Answer:C
Question: A sum of money is put out at compound interest for 2 years at 20%. It would fetch Rs.1446 more if the interest were payable half-yearly, then it were pay able yearly. Find the sum.
A.32200
B.41897
C.58799
D.60000
Answer: D.60000
Explanation: P(11/10)^4 - P(6/5)^2 = 1446
P = 60000
Answer: D
Question: A soccer team played 160 games and won 65 percent of them. How many games did it win?
A.84
B.94
C.104
D.114
Answer: C.104
Explanation: 65% of 160 =x
0.65*160 = x
104=x
answer :C
Question: A driver goes on a trip of 50 kilometers, the first 25 kilometers at 66 kilometers per hour and the remaining distance at 33 kilometers per hour. What is the average speed of the entire trip in kilometers per hour?
A.38
B.40
C.44
D.45
Answer: C.44
Explanation: The time for the first part of the trip was 25/66 hours.
The time for the second part of the trip was 25/33 hours.
The total time fro the trip was 25/66 + 25/33 = 75/66 = 25/22 hours.
The average speed for the trip was 50 / (25/22) = 44 kph
The answer is C.
Question: The average (arithmetic mean) of the 5 positive integers k, m, r, s, and t is 10, and k < m < r < s < t. If t is 20, what is the greatest possible value of the median of the 5 integers?
A.16
B.18
C.13
D.20
Answer: C.13
Explanation: We need to find the median which is the third value when the numbers are in increasing order. Since k<m<r<s<t, the median would be r.
The average of the positive integers is 10 which means that in effect, all numbers are equal to 10. If the largest number is 20, it is 10 more than 20. We need r to be maximum so k and m should be as small as possible to get the average of 10. Since all the numbers are positive integers, k and m cannot be less than 1 and 2 respectively. 1 is 9 less than 10 and 2 is 8 less than 10 which means k and m combined are 17 less than the average. 20 is already 10 more than 10 and hence we only have 17 - 10 = 7 extra to distribute between r and s. Since s must be greater than r, r can be 10+3 = 13 and s can be 10+4 = 14.
So r is 13.
Answer (C)
Question: It is given that 2^32 + 1 is exactly divisible by a certain number. Which one of the following is also divisible by the same number R?
A.a. 2^96 + 1
B.b. 2^16 - 1
C.c. 2^16 + 1
D.d. 7 * 2^33
Answer: A.a. 2^96 + 1
Explanation: a³ + b³ =(a+b)(a² -ab +b²)
Now, let (2^32 + 1) be (a+b)
a³ + b³ = (2^96 + 1)
Now, as mentioned in formula above,
a³ + b³ is always divisible by (a+b)
So any factor of R=(a+b) is a factor of (a³ + b³)
Henca A
Question: If the product of 10 integers is negative, at most how many of the integers can be negative?
A.2
B.3
C.4
D.9
Answer: D.9
Explanation: The product of 10 integers is negative
Thus an odd number of integers need to be negative to have a negative product
We are asked at most how many are required.
So, the highest odd integer before 6,i.e. 9
Correct Option : D
Question: A cistern can be filled in 9 hours but due to a leak at its bottom it takes 10 hours. If the cistern is full, then the time that the leak will take to make it empty will be ?
A.20 hours
B.19 hours
C.90 hours
D.80 hours
Answer: C.90 hours
Explanation: Explanation:
Part filled without leak in 1 hour = 1/9
Part filled with leak in 1 hour = 1/10
Work done by leak in 1 hour
=1/9−1/10=1/90
We used subtraction as it is getting empty.
So total time to empty the cistern is 90 hours
Option C
Question: A can give B 100 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?
A.111.12 m
B.111.19 m
C.111.82 m
D.113.12 m
Answer: A.111.12 m
Explanation: A runs 1000 m while B runs 900 m and C runs 800 m.
The number of meters that C runs when B runs 1000 m,
= (1000 * 800)/900 = 8000/9 = 888.88 m.
B can give C = 1000 - 888.88 = 111.12 m.
Answer:A
Question: If the perimeter of a rectangular garden is 600 m, its length when its breadth is 95 m is?
A.286 m
B.899 m
C.200 m
D.205 m
Answer: D.205 m
Explanation: 2(l + 95) = 600 => l
= 205 m
Answer: D
Question: Of the 13 employees in a certain department, 1 has an annual salary of 38,000, 2 have an annual salary of 45,800 each, 2 have an annual salary of 42,500 each, 3 have an annual salary of 40,000 each and 5 have an annual salary of 48,500 each. What is the median annual salary for the 13 employees?
A.38,000
B.40,000
C.42,500
D.45,800
Answer: D.45,800
Explanation: Median is just the value in the middle when you arrange all values in the ascending order
In this question, the 7th value would be the median (Since there are 13 employees)
38, 40, 40, 40, 42.5, 42.5,45.8
So, answer is D.
Question: A rectangular photograph is surrounded by a border that is 1 inch wide on each side. The total area of the photograph and the border is M square inches. If the border had been 3 inches wide on each side, the total area would have been (M + 64) square inches. What is the perimeter of the photograph, in inches?
A.16
B.24
C.32
D.40
Answer: A.16
Explanation: Let x and y be the width and length of the photograph.
(x+2)(y+2)=M and so (1) xy + 2x + 2y + 4 = M
(x+6)(y+6)=M and so (2) xy + 6x + 6y + 36 = M+64
Let's subtract equation (1) from equation (2).
4x + 4y + 32 = 64
2x + 2y = 16, which is the perimeter of the photograph.
The answer is A.
Question: How many seconds will a 500 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
A.65 sec
B.30 sec
C.87 sec
D.88 sec
Answer: B.30 sec
Explanation: Speed of train relative to man = 63 - 3 = 60 km/hr.
= 60 * 5/18 = 50/3 m/sec.
Time taken to pass the man = 500 * 3/50
= 30 sec.
Answer: B
Question: Katie has 9 employees that she must assign to 3 different projects. If 3 employees are assigned to each project and no one is assigned to multiple projects, how many different combinations X of project assignments are possible?
A.252
B.1,680
C.2,340
D.362,880
Answer: B.1,680
Explanation: The ways to select three employees out of 9 for first project = 9C3
The ways to select three employees out of Remaining 6 for Second project = 6C3
Third Project already has the group of three to be assigned to it so need to select that
So total ways to assign 3 employees to each of 3 projects X= 9C3 * 6C3 * 1 = 1,680
Answer: Option B
Question: An investment of d dollars at k percent simple annual interest yields $500 over a 2 year period. In terms of d, what dollar amount invested at the same rate will yield $2,000 over a 4 year period?
A.2d
B.(3d)/4
C.(4d)/3
D.(3d)/2
Answer: A.2d
Explanation: 500 dollars in 2 years means 250 dollars in 1 year.
To get 2000 dollars' it will take 8 years.
To get 2000 in 4 years, we need 8/4 =2 times money. Answer is A
Question: The price of a jacket is reduced by 35%. During a special sale the price of the jacket is reduced another 10%. By approximately what percent must the price of the jacket now be increased in order to restore it to its original amount?
A.70.9
B.75
C.48
D.65
Answer: A.70.9
Explanation: 1) Let the price of jacket initially be $100.
2) Then it is decreased by 35% , therefore bringing down the price to $65.
3) Again it is further discounted by 10%, therefore bringing down the price to $58.5
4) Now 58.5 has to be added byX %in order to equal the original price.
58.5 + ( X% ) 58.5 = 100.
Solving this eq for X, we get X = 70.9
Ans is A.
Question: (469 + 174)(power 2) - (469 - 174)(power 2) / (469 x 174) = ?
A.2
B.6
C.4
D.8
Answer: D.8
Explanation: Formula = (a + b)(power 2) - (a - b)(power 2) / ab
= 4ab/ab
= 4 (where a = 469, b = 174.)
Answer is D.
Question: Yukou enjoys reading science-fiction. It is the New Year and he has made a resolution to read a book every week for this year. He has a collection of monster books and space travel books in the ratio of 4:5. He presently has 20 space travel books. How many more books (of each genre) does he need to buy to keep his resolution, without changing the ratio?
A.6 monster, 10 space
B.8 monster, 10 space
C.8 monster, 9 space
D.4 monster, 10 space
Answer: B.8 monster, 10 space
Explanation: There are 52 weeks in a year. Youku has 20 space travel books, so 4:5 is 4/5:1 means (4/5)(20) = 16 monster books. So, he has 20 + 16 = 36 books. Youku needs 52 - 36 = 16 more books.
Keeping with the ratio of 4:5 and allowing for the fact that we can not have a fraction of a book, the minimum ratio that satisfies these restrictions is 8:10 giving 18 books, of which 8 are monster books and 10 space travel books.
Answer: B
Question: Sripad has scored average of 65 marks in three objects. In no subjects has he secured less than 58 marks. He has secured more marks in Maths than other two subjects. What could be his maximum score in Maths ?
A.79
B.28
C.38
D.27
Answer: A.79
Explanation: Assuming Sripad has scored the least marks in subject other than science,
Then the marks he could secure in other two are 58 each.
Since the average mark of all the 3 subject is 65.
i.e (58+58+x)/3 = 65
116 + x = 195
x = 79 marks.
Therefore, the maximum marks he can score in maths is 79.
Answer: A
Question: How many odd 4-digit positive integers T that are multiples of 5 can be formed without using the digit 3?
A.648
B.729
C.900
D.1296
Answer: A.648
Explanation: I choose A.
Possible n° of 1st digit: 8 (0 can't be the first number, or else it wouldn't have 4 digits. 3 is exlcuded)
Possible n° of 2nd digit: 9 (3 is excluded)
Possible n° of 3rd digit: 9 (3 is excluded)
Possible n° of 4th digit: 1 (a number is a multiple of 5 if it ends in 5 or 0, here we are asked for the odd numbers, hence the last digit can't be 0)
So, T=8*9*9*1=648 (A)
Question: In a certain mathematical activity, we have five cards with five different prime numbers on them. We will distribute these five cards among three envelope: all could go in any envelope, or they could be broken up in any way among the envelopes. Then in each envelop, we find the product of all the cards in that envelope: that is the “number” of the envelope. An envelope containing no cards has the number 1. We then put the three envelope numbers in order, from lowest to highest, and that is our set. How many different K sets can be produced by this process?
A. 41
B. 89
C. 125
D. 243
Answer: A. 41
Explanation: Case 1: 1 used envelope => 1 way
Case 2: 2 used envelopes
- 4-1-0: Choose 4 from 5 cards: 5 ways
- 3-2-0: Choose 3 from 5 cards: 10 ways
Case 3: All envelopes used
- 3-1-1: Choose 3 from 5 andno need to choose 1 from 2: 10 ways
- 2-2-1: Choose 2 from 5 and choose 2 from 3, but two groups are the same => (10X3):2 = 15
Total K: 1+5+10+10+15=41 => Answer: A
Question: A cylindrical bucket of height 36 cm and radius 21 cm is filled with sand. The bucket is emptied on the ground and a conical heap of sand is formed, the height of the heap being 12 cm. The radius of the heap at the base is :
A.63 cm
B.53 cm
C.56 cm
D.66 cm
Answer: A.63 cm
Explanation: Volume of the bucket = volume of the sand emptied
Volume of sand = π(21)2 × 36
Let r be the radius of the conical heap.
Then, 1⁄3πr2 × 12 = π(21)2 × 36
or r2 = (21)2 × 9 or r = 21 × 3 = 63
Answer A
Question: Louie takes out a three-month loan of $1000. The lender charges him 10% interest per month compunded monthly. The terms of the loan state that Louie must repay the loan in three equal monthly payments. To the nearest dollar, how much does Louie have to pay each month?
A.333
B.383
C.402
D.433
Answer: C.402
Explanation: Let the monthly payment be xx.
After the 1st month there will be 1,000∗1.1−x dollars left to repay;
After the 2nd month there will be (1,000∗1.1−x)∗1.1−x=1,210−2.1 x dollars left to repay;
After the 3rd month there should be 0 dollars left to repay: (1,210−2.1x)∗1.1−x=0--> 1331=3.31x--> x≈402x≈402
Answer: C.
Question: 10x + 2y = -6
8x + y = 3
In the system of equations above, what is the value of x?
A.-6
B.-4
C.-2
D.2
Answer: D.2
Explanation: 10x + 2y = -6 can be written as 5x + y = -3
Let's subtract the second equation from this equation.
-3x = -6
x = 2
The answer is D.
Question: A cycle is bought for Rs.900 and sold for Rs.1150, find the gain percent?
A.15
B.20
C.27.77
D.40
Answer: C.27.77
Explanation: 900 ---- 250
100 ---- ? => 27.77%
Answer: C
Question: If a man lost 4% by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44%?
A.1
B.8
C.9
D.4
Answer: B.8
Explanation: 96% ---- 12
144% ---- ?
96/144 * 12 = 8
Answer: B
Question: A rectangular rug with side lengths of 2 feet and 7 feet is placed on a square floor that has an area of 64 square feet. If the surface of the rug does not extend beyond the area of the floor, what fraction of the area of the floor is not covered by the rug?
A.A.3/16
B.1/4
C.C.1/2
D.25/32
Answer: D.25/32
Explanation: Area of the rectangular rug = 2*7 = 14
Fraction not covered by the rug = (Total Area - Rug area) / Total Area
= (64 - 14)/64
= 25/32=D
Question: A car consumes 210 liters of petrol weekly. For how many days will 1470 liters of petrol be sufficient?
A.38
B.20
C.28
D.49
Answer: D.49
Explanation: Explanation:
No explanation is available for this question!
ANSWER:D
Question: A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
A.287
B.240
C.772
D.211
Answer: B.240
Explanation: Speed = 54 * 5/18 = 15 m/sec.
Length of the train = 15 * 20 = 300 m.
Let the length of the platform be x m . Then,
(x + 300)/36 = 15 => x = 240 m.
Answer: B
Question: A and B started business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B's share in the total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?
A.7500
B.7502
C.2883
D.2790
Answer: A.7500
Explanation: A:B:C = (20000 * 24) : (15000 * 24) : (20000 * 18) = 4:3:3
B's share = 25000 * 3/10 = Rs. 7500.Answer: A
Question: One night 18 percent of the female officers on a police force were on duty. If 180 officers were on duty that night and half of these were female officers, how many female officers were on the police force?
A.90
B.180
C.270
D.500
Answer: D.500
Explanation: Let total number of female officers in the police force = F
Total number of officers on duty on that night = 180
Number of female officers on duty on that night = 180/2 = 90
(18/100)*F = 90
=>F = 500
Answer D
Question: By investing a 6% stock at 96 an income of Rs. 100 is obtained by making and investment of ?
A.Rs. 1600
B.Rs. 1504
C.Rs. 1666
D.Rs. 2000
Answer: A.Rs. 1600
Explanation: For an income of Rs. 6, investment = Rs. 96.
For an income of Rs. 100, investment = Rs. (96 / 6) x 100 = Rs. 1600
Answer : A
Question: A train 800 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
A.176 m
B.786 m
C.500 m
D.865 m
Answer: C.500 m
Explanation: Speed = 78 * 5/18 = 65/3 m/sec.
Time = 1 min = 60 sec.
Let the length of the train be x meters.
Then, (800 + x)/60 = 65/3
x = 500 m.
Answer:C
Question: If a, b, and c are consecutive integers such that a < b < c and a is an even prime number, which of the following is true?
I. a + b + c > a^3
II. a × b × c < a^3
III. 5b > bc
A.I only
B.II only
C.III only
D.II and III
Answer: A.I only
Explanation: Only 'A' is possible solution. If a is even prime number i.e 2, b is 3 and c is 4
Putting the values in the answers only 'A' seems valid.
Question: An investor purchased 100 shares of stock X at 8 1/8 dollars per share and sold them all a year later at 24 dollars per share. If the investor paid a 2 percent brokerage fee on both the total purchase price and the total selling price, which of the following is closest to the investor's percent gain on this investment?
A.92%
B.240%
C.190%
D.300%
Answer: C.190%
Explanation: If the purchase price was 8$ per share then the investor would have made a profit of 200%.
Since the purchase price is slightly more than 8$ the profit would be slightly less than 200%.
Also a 2% brokerage is negligible and it brings down the profit percentage only by a small value. Approximation is very useful to solve these kind of problems as the answer choices are far apart.
Answer: C
Question: For the positive numbers, n, n + 1, n + 2, n + 3, and n + 4, the mean is how much greater than the median?
A.0
B.1
C.n+l
D.n+2
Answer: A.0
Explanation: Let’s first calculate the mean (arithmetic average).
mean = sum/quantity
mean = (n + n + 1 + n + 2 + n + 3 + n + 4)/5
mean = (5n + 10)/5
mean = n + 2
Next, we determine the median. The median is the middle value when the terms are ordered from least to greatest. The terms ordered from least to greatest are as follows:
n, n + 1, n + 2, n + 3, n + 4
The median is n + 2.
Finally we are asked how much greater the mean is than the median. To determine the difference we can subtract the smaller value (the median) from the larger value (the mean) and we get:
n + 2 – (n + 2) = n + 2 – n – 2 = 0
The answer is A
Question: A football coach must choose 5freshers from a team of 12players. How many different ways can the coach choose the freshers?
A.657
B.689
C.729
D.776
Answer: C.729
Explanation: Choose 5 starters from a team of 12 players. Order is not important.
\inline {\color{Black} 12C_{5}}= 729
C
Question: Difference between the length &breadth of a rectangle is 10 m. If its perimeter is 206 m, then its area is?
A.2400 m^2
B.1500 m^2
C.2520 m^2
D.1200 m^2
Answer: D.1200 m^2
Explanation: Solving the two equations, we get: l = 30 and b = 40.
Area = (l x b) = (30 x 40) m2 = 1200 m^2
D
Question: Find the product of the local value and absolute value of 4 in 564823
A.1600
B.8000
C.16000
D.12000
Answer: C.16000
Explanation: Explanation:
Place value = Local value
Face value = Absolute value
The place value of 4 in 564823 is 4 x 1000 = 4000
The face value of 4 in 564823 is nothing but 4.
=> 4000 x 4 = 16000
Answer: Option C
Question: A is twice as good a work man as B and together they finish the work in 14 days. In how many days A alone can finish the work?
A.5 days
B.21 days
C.15 days
D.25 days
Answer: B.21 days
Explanation: Explanation:
WC = 2:1
2x + x = 1/14 => x = 1/42
2x = 1/21
A can do the work in 21 days.
Answer: B
Question: A train 240 m in length crosses a telegraph post in 16 seconds. The speed of the train is?
A.40
B.88
C.77
D.6
Answer: A.40
Explanation: Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 360 + 140 = 500 m
Required time = 500 * 2/25 = 40 sec.Answer: A
Question: Two brothers took the GMAT exam, the higher score is P and the lower one is Q. If the difference between the two scores is equal to their average, what is the value of Q/P ?
A.3
B.2
C.1/2
D.1/3
Answer: D.1/3
Explanation: Answer is D : 1/3
P - Q = (P + Q)/2
Solving for Q/P = 1/3
D
Question: How many three digit number can be formed with the numbers 1,2,3,4,5.
A.125 ways
B.150 ways
C.175 ways
D.180 ways
Answer: A.125 ways
Explanation: Since the repetition of number allowed, the first place can be filled in 5 ways. The second place can be filled in 5ways.(repetition of numbers allowed). Third place can be arranged in 5ways. The required number of digit number =5x5x5=125 ways. Answer :A
Question: A five-digit number divisible by 3 is to be formed using numerical 0, 1, 2, 3, 4 and 5 without repetition. The total number W of ways this can be done is:
A.122
B.210
C.216
D.217
Answer: C.216
Explanation: We should determine which 5 digits from given 6, would form the 5 digit number divisible by 3.
We have six digits: 0, 1, 2, 3, 4, 5. Their sum=15.
For a number to be divisible by 3 the sum of the digits must be divisible by 3. As the sum of the six given numbers is 15 (divisible by 3) only 5 digits good to form our 5 digit number would be 15-0={1, 2, 3, 4, 5} and 15-3={0, 1, 2, 4, 5}. Meaning that no other 5 from given six will total the number divisible by 3.
Second step:
We have two set of numbers:
1, 2, 3, 4, 5 and 0, 1, 2, 4, 5. How many 5 digit numbers can be formed using these two sets:
1, 2, 3, 4, 5 --> 5! as any combination of these digits would give us 5 digit number divisible by 3. 5!=120.
0, 1, 2, 4, 5 --> here we can not use 0 as the first digit, otherwise number won't be any more 5 digit and become 4 digit. So, desired # would be total combinations 5!, minus combinations with 0 as the first digit (combination of 4) 4! --> 5!-4!=4!(5-1)=4!*4=96
120+96=216=W
Answer: C.
Question: If f(x) = x^4 - 4x^3 - 2x^2 + 5x , then f(-1) =
A.-4
B.-2
C.-1
D.1
Answer: B.-2
Explanation: f(-1) = (-1)^4 - 4(-1)^3 - 2(-1)^2 + 5(-1) = 1+4-2-5 = -2
The answer is B.
Question: There are 5 Rock songs, 6 Pop songs, and 3 Jazz. How many different albums can be formed using the above repertoire if the albums should contain at least one Rock song and one Pop song?
A.15,624
B.16,384
C.6,144
D.384
Answer: A.15,624
Explanation: If there are 5 rock songs then there are 2^5 ways to make a combination. But there should be atleast 1 Rock song, so the total Rock combination will be 2^5 -1
Similar explanation for Pop
But the album can be formed without any Jazz so 2^3
((2^5)-1) * ((2^6)-1) * 2^3
Ans: 15624
Question: The table below shows how many coaches work with each of the major sports teams at Kristensen School. Although no single coach works with all three teams, 6 coaches work with both the Track and Tennis teams, 2 coaches work with both the Track and Baseball teams, and 1 coach works with both the Tennis and Baseball teams. How many different coaches work with these three teams?
Sports No of coaches
Track 8
Tennis 5
Baseball 4
A.8
B.9
C.11
D.12
Answer: A.8
Explanation: X = 8 + 5 + 4 - (6 + 2 + 1) = 8
Answer is A
Question: A cube is painted red on all faces. It is then cut into 27 equal smaller cubes. How many J cubes are painted on only 2 faces?
A.12
B.8
C.6
D.10
Answer: A.12
Explanation: 1) Draw a simple cube
2) Draw 9 squares on each face of the cube (so that it looks like a Rubik's Cube) - this is what the cube will look like when it's cut into 27 equal smaller cubes.
3) Remember that the OUTSIDE of the cube is the part that's painted....
The mini-cubes with 2 painted sides are ALL on the edge of the cube, in themiddleof the edge. There are 4 in front, 4 in back and 4 more on thestripthat runs around the left/top/right/bottom of the cube. J=4 + 4 + 4 = 12. Answer A
Question: A certain car can travel 20 minutes on a gallon of gasoline at 60 miles per hour. If the car had started with a full tank and had 8 gallons of gasoline left in its tank at the end, then what percent of the tank was used to travel 80 miles at 60 mph?
A.33%
B.20%
C.25%
D.30%
Answer: A.33%
Explanation: Total time for travelling 80 miles @ 60 mph = 80/60 = 4/3 hour = 80 minutes.
Given, the car uses 1 gallon for every 20 minutes of driving @ 60 mph. Thus in 80 minutes it will use = 4 gallons. Thus, full tank = 4+8 = 12 gallons ---> 4/12= 33% of the fuel used. A is the correct answer.
Question: Two pipes A and B can fill a tank in 10 minutes and 20 minutes respectively. If both the taps are opened simultaneously, and the tap A is closed after 5 minutes, then how much more time will it take to fill the tank by tap B?
A.5min
B.6min
C.10min
D.7min
Answer: A.5min
Explanation: Part filled in 5 min. = 5(1/10 + 1/20) = 5*3/20 = 3/4
Remaining part = 1 - 3/4 = 1/4
Part filled by B in 1min. = 1/20
1/20 : 1/4 :: 1:x
x = 1/4 *1 * 20 = 5min
Answer is A