RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Last year 26 members of a certain club traveled to England, 26 members traveled to France, and 32 members traveled to Italy. Last year 6 members of the club traveled to both England and France, no members traveled to both England and Italy, and 11 members traveled to both France and Italy. How many members of the club traveled to at least one of these three countries last year?
A.52
B.71
C.67
D.73
Answer: C.67
Explanation: n(E or F or I) = n(E) + n(F) + n(I) - n(E and F) - n(F and I) - n(I and E) +n(E and F and I)
n(E or F or I) = 26 + 26 + 32 - 6 - 11 - 0 + 0
Why is the number of people who traveled to E and F and I 0? Because no one traveled to both England and France. So obviously, no one would have traveled to England, France and Italy.
n(E or F or I) = 67
Answer (C)
Question: How many seconds will a train 120 meters long take to cross a bridge 200 meters long if the speed of the train is 36 kmph?
A.22 sec
B.32 sec
C.25 sec
D.24 sec
Answer: B.32 sec
Explanation: Explanation:
D = 120 + 200 = 320
S = 36 * 5/18 = 10 mps
T = 250/10 = 32 sec
Answer: Option B
Question: If a man buys 100 biscuits for $900 and sold them for $10 dollars determine his gain.
A.$ 100
B.$ 90
C.$ 80
D.$110
Answer: A.$ 100
Explanation: Cost of 100 biscuits = $90
Sold each biscuits for $10
So he sold 100 biscuits for $(100 × 10) = $1000
Loss = $(1000 – 900) = $100
Therefore, gain = $ 100.
Answer:A
Question: Two pipes P and Q can fill a cistern in 12 and 15 minutes respectively. Both are opened together, but at the end of 2 minutes the first is turned off. How many more minutes will it take for the cistern to fill after the first pipe is turned off?
A.8.5
B.9.5
C.10.5
D.11.5
Answer: C.10.5
Explanation: Let x be the total time it takes for the cistern to fill.
2/12 + x/15 = 1
x/15 = 5/6
x = 12.5
After the first pipe is turned off, it takes 10.5 more minutes to fill the cistern.
The answer is C.
Question: Jo's collection contains US, Indian and British stamps. If the ratio of US to Indian stamps is 6 to 2 and the ratio of Indian to British stamps is 5 to 1, what is the ratio of US to British stamps?
A.5 : 1
B.30 : 2
C.15 : 2
D.20 : 2
Answer: B.30 : 2
Explanation: U/I = 6/2
I/B = 5/1
Since I is multiple of both 2 (as per first ratio) and 5 (as per second ratio) so let's assume that I = 10
i.e. Multiplying teh first ratio by 5 and second ration by 2 in each numerator and denominator
then, U : I : B = 30 : 18 : 2
i.e. U : B =30 : 2
Answer: Option B
Question: There are 10person among whom 2are brother. The total no.of ways in which these persons can be seated around a round table so that exactly 1person sit between the brothers, is equal to?
A.7!
B.7!*2!
C.7!*3!
D.8!*1!
Answer: B.7!*2!
Explanation: Total number of ways = 7!*2!.
B
Question: At a certain high school, the senior class is three times the size of the junior class. If 1/6 of the seniors and 1/4 of the juniors study Japanese, what fraction of the students in both classes study Japanese?
A.1/4
B.3/16
C.1/2
D.5/16
Answer: B.3/16
Explanation: Start by deciding on a number of students to represent the number of students in the senior class. For this example I will choose 300 students. That would make the number of students in the junior class 100. Then we can find out how many students are taking Japanese in each grade and add them together. (1/6)*300=50 and (1/4)*100=25. 50+25=75. There are a total of 400 students in the junior class and senior class combined (100+300=300), and there are 75 total students in Japanese, so 75 students in Japanese / 400 total students equals 3/16 of the students in both classes that study Japanese.
Answer: B
Question: While visiting a small town in the United States, I lost my overcoat in a bus. When I reported the matter to the bus company I was asked the number of the bus. Though I did not remember the exact number I did remember that the bus number bad a certain peculiarity about it. The number plate showed the bus number as a perfect square and also if the plate was turned upside down.? the number would still be a perfect square—of course it was not?
I came to know from the bus company they had only five hundred buses numbered from 1 to 500.
From this I was able to deduce the bus number. Can you tell what was the other number.
A.127
B.196
C.116
D.140
Answer: B.196
Explanation: B
196
The only numbers that can be turned upside down and still read as a number are 0, 1, 6, 8 and 9.
The numbers 0, 1 and 8 remain 0, 1 and 8 when turned over, but 6 becomes 9 and 9 becomes 6.
Therefore the possible numbers on the bus were 9, 16, 81, 100, 169 or 196. However, the number 196 is the only number which becomes a perfect square when turned over because 961 is the perfect square of 31. Therefore 196 is the correct answer.
Question: A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is:
.
A.Rs. 650
B.Rs. 690
C.Rs. 698
D.Rs. 700
Answer: C.Rs. 698
Explanation: S.I. for 1 year = Rs. (854 - 815) = Rs. 39.
S.I. for 3 years = Rs.(39 x 3) = Rs. 117.
Principal = Rs. (815 - 117) = Rs. 698. Answer: Option C
Question: A bag contains 6 red, 2 yellow and 4 green balls. 3 balls are drawn randomly. What is the probability that the balls drawn contain balls of different colours?
A.12/55
B.3/5
C.3/11
D.1/4
Answer: A.12/55
Explanation: Total number of balls = 6+2+4 = 12
n(S) = 12C3 = 12*11*10 / 3*2 = 220
n(E) = 6C1 * 2C1 * 4C1 = 48
Probability = 48/220 = 12/55
Answer is A
Question: The ages of two persons differ by 20 years. If 5 years ago, the older one be 5 times as old as the younger one, then their present ages, in years, are
A.25, 5
B.30, 10
C.35, 15
D.50, 30
Answer: B.30, 10
Explanation: Let the ages be ’x’ and ’y’ years now.
Then x - y = 20 ...(i)
(x - 5) = 5(y - 5) ...(ii)
From (i) and (ii),
20 + y - 5 = 5y - 25
y = 10 and x = 30.
ANSWER:B
Question: Three people candidates contested an election and they received 1136, 7636 and 11628 votes respectively. What is the percentage of the total votes did the winning candidate get?
A.40%
B.45%
C.57%
D.58%
Answer: C.57%
Explanation: tot no of votes = (1136+7636+11628) = 20400
req = > (11628/20400 * 100) = > 57%
ANSWER C
Question: The Present worth of Rs. 1404 due in two equal half-yearly instalments at 8% per annum simple interest is :
A.Rs. 1325
B.Rs. 1300
C.Rs. 1350
D.Rs. 1500
Answer: A.Rs. 1325
Explanation: Solution
Required sum = P.W. of Rs. 702 due 6 month hence + P.W. of Rs. 702 due 1 year hence
= Rs.[(100x702/100 + 8 x1/2 )+ ( 100x702/100 + (8x1) )] = Rs. (675+650) = Rs. 1325.
Answer A
Question: If (10x + 2)/4 - (3x - 6)/18 = (2x + 4)/3,
Then what is the value of x?
A.3
B.-3
C.10/3
D.3/10
Answer: D.3/10
Explanation: (10x + 2)/4 - (3x - 6)/18 = (2x + 4)/3
=> 18(10x + 2)/4 - (3x - 6) = 18(2x + 4)/3
=> 4.5(10x + 2) - 3x +6 = 6 (2x + 4)
=> 45x + 9 - 3x + 6 = 12x +24
=> 45x-3x-12x = 24-9-6
=> 30x = 9
=> x = 9/30
=> x= 3/10
Answer: D
Question: The moon revolves around the earth at a speed of approximately 0.9 kilometers per second. This approximate speed is how many kilometers per hour?
A.60
B.61.2
C.3240
D.3,600
Answer: C.3240
Explanation: moon revolves around the earth at a speed of 1.02kilometers per second.
one hour equal to 60 minutes.
one minute equals to 60 seconds. so one hour equals to 3600seconds.
so one hour, speed= 0.9*3600=3240kilometers per hour.
Option C is correct
Question: What is the 9th term in this sequence?
2,4,6,13,22,35,60
A.138
B.148
C.158
D.168
Answer: C.158
Explanation: 2+4 =6 +0 =6
6+4 =10+3 =13
13+6 =19+3 =22
22+13=35+0 =35
35+22=57+3 =60
60+35=95+3 =98
98+60=158+0=158
so 9th term is 158
ANSWER:C
Question: One fourth of a solution that was 8% sugar by weight was replaced by a second solution resulting in a solution that was 16 percent sugar by weight. The second solution was what percent sugar by weight?
A.74%
B.52%
C.40%
D.18%
Answer: C.40%
Explanation: Say the second solution (which was 1/4 th of total) was x% sugar, then 3/4*0.08+1/4*x=1*0.16 --> x=0.4. Alternately you can consider total solution to be 100 liters and in this case you'll have: 75*0.08+25*x=100*0.16 --> x=0.4.
Answer: C.
Question: 5 pumps, working 9 hours a day, can empty a tank in 3 days. How many hours a day should 6 pumps work in order to empty the tank in 1 day?
A.20 hours
B.22.5 hours
C.23 hours
D.23.5 hours
Answer: B.22.5 hours
Explanation: Let the required hours needed be x
More pumps, less hours (Indirect proportion)
More Days, less hours (Indirect proportion)
Hence we can write as
(pumps)5:6
}::x:9
(days)3:1
=>5*3*9=6*1*x
=>x=45/2
=>22.5
ANSWER:B
Question: A gardener wants to plant trees in his garden in such a way that the number of trees in each row should be the same. If there are 6 rows or 4 rows or 8 rows, then no tree will be left. Find the least number of trees required
A.24
B.60
C.28
D.76
Answer: A.24
Explanation: Explanation:
The least number of trees that are required = LCM(6,4,8) = 24
Answer: A
Question: David has $1,500 at the beginning of his trip, after spending money, he still has exactly $500 less than he spent on the trip. How much money does John still have?
A.$200
B.$400
C.$500
D.$800
Answer: C.$500
Explanation: Suppose total money spent = x
Not spend (Money he still has)= x-500
x+x-500 = 1500
x= 1000
Money not spend= 1000-500= 500
Answer : C
Question: At a meeting, 4 people are to be seated around a circular table. Two seating arrangements are considered different only when the positions of the people are different relative to each other. What is the total number of different possible seating arrangements for the group?
A.6
B.7
C.12
D.14
Answer: A.6
Explanation: The number of arrangements of n distinct objects in a row is given by n!
The number of arrangements of n distinct objects in a circle is given by (n−1)!
"The difference between placement in a row and that in a circle is following: if we shift all object by one position, we will get different arrangement in a row but the same relative arrangement in a circle. So, for the number of circular arrangements of n objects we have:
R=n!-n=(n−1)!
(n−1)!=(4−1)!=6
Answer: A
Question: In a house a hall is 20 m long, 15m wide and 5m high. Its interior has to be covered with mat. What will be the total expenditure if it costs Rs. 60 per square m?
A.Rs. 50000
B.Rs. 51000
C.Rs. 57000
D.Rs. 60000
Answer: C.Rs. 57000
Explanation: Length (l) = 20 m, Breadth (b) = 15 m and Height (h) = 5 m
Total area of the hall to be covered with mat = 2(lb + bh + hl)
= 2(20 * 15 + 15 * 5 + 5 * 20)
=2(300 + 75 + 100)
= 2 * 475
= 950 sq. m
Total expenditure = 60 * 950
= Rs. 57000
C
Question: If a fair 6-sided die is rolled three times, what is the probability that exactly one 4 is rolled?
A.25/216
B.50/216
C.25/72
D.25/36
Answer: C.25/72
Explanation: Total ways in which a 6-sided die can be rolled three times = 6*6*6 = 216
To get exactly one 4 , there are three ways:
A 4 on the first roll and non 4 on other two rolls. This can be done in 1*5*5 = 25 ways.
The 4 could be on the second or third roll too. So total favorable cases = 25*3 = 75
Required Probability = 75/216 = 25/72
Answer (C)
Question: If three eighth of a number is 141. What will be the approximately value of 32.08% of this number?
A.119
B.187
C.181
D.120
Answer: D.120
Explanation: Explanation:
x * 3/8 = 141 => x= 376
376 * 32.08/100 = 120
Answer: D
Question: A license plate in the country Kerrania consists of four digits followed by two letters. The letters A, B, and C are used only by government vehicles while the letters D through Z are used by non-government vehicles. Kerrania's intelligence agency has recently captured a message from the country Gonzalia indicating that an electronic transmitter has been installed in a Kerrania government vehicle with a license plate starting with 79. If it takes the police 12 minutes to inspect each vehicle, what is the probability that the police will find the transmitter within three hours?
A.18/79
B.1/60
C.1/25
D.1/50
Answer: B.1/60
Explanation: If it takes 12 minutes to inspect one vehicle, the # of vehicles that can be inspected in 3 hours (180 minutes) = 180/12 = 15. Hence, for calculating the probability that the police will find the transmitter within three hours, the favorable cases = 15. Now, we need to figure out the total # of cases.
The total # of cases = Total # of such cars possible. The details given about the car is that it starts with 79, which leaves 2 more digits, both of which can be filled by all 10 numbers (0-9). In addition, we have 3 letters, each of which can be filled by any from the set {A,B,C}. Hence the total # of such cars possible = 10*10*3*3 = 900
So, the probability that the police will find the transmitter within three hours = 15/900 = 1/60. Option B
Question: In a river flowing at 2 km/hr, a boat travels 48 km upstream and then returns downstream to the starting point. If its speed in still water be 6 km/hr, find the total journey time.
A.10 hours
B.12 hours
C.14 hours
D.18 hours
Answer: D.18 hours
Explanation: Explanation :
speed of the boat = 6 km/hr
Speed downstream = (6+2) = 8 km/hr
Speed upstream = (6-2) = 4 km/hr
Distance traveled downstream = Distance traveled upstream = 48 km
Total time taken = Time taken downstream + Time taken upstream
= (48/8) + (48/4) = 18 hr. Answer : Option D
Question: If x is a prime integer and y = 9x, which of the following CANNOT be a divisor of y?
A.18
B.45
C.28
D.27
Answer: C.28
Explanation: Prime integer are as follows as 2,3,5,7,11.,
y = 9x
Go with options
if it is 18 so x must be 2 which is a prime integer
if it is 45 so x must be 5 which is a prime integer
if it is 28 so x must be 4 which is not a prime integer
so ans is C
Question: After decreasing 20% in the price of an article costs Rs.620. Find the actual cost of an article?
A.775
B.620
C.750
D.800
Answer: A.775
Explanation: CP* (80/100) = 620
CP= 7.75 * 100 => CP = 775
ANSWER:A
Question: From 5 consonants and 4 vowels, how many words can be formed using 3 consonants and 2 vowels?
A.7000
B.7200
C.7800
D.7500
Answer: B.7200
Explanation: From 5 consonants, 3 consonants can be selected in 5C3 ways. From 4 vowels, 2 vowels can be selected in 4C2 ways. Now with every selection, number of ways of arranging 5 letters is 5P5 Total number of words =5C3*4C2*5P5= 7200
Answer B
Question: A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.
A.220 km
B.224 km
C.230 km
D.234 km
Answer: B.224 km
Explanation: (1/2)x/21 + (1/2)x/24 = 10
x/21 + x/24 = 20
15x=168x20
x=[168x20/15] = 224km
Answer is B
Question: A coin is tossed until sequence HTH appears (H denotes the fall of heads, T denotes the fall of tails). What is the probability E that the game will end after the fourth throw?
A.1/16
B.3/32
C.1/8
D.3/16
Answer: C.1/8
Explanation: Another approach:
Two likely scenarios would be : HHTH or THTH
for each of the scenarios probability would be 1/16
So Probablilty E is 1/16 + 1/16 = 1/8.C
Question: Find the odd man out
49, 51, 53, 55, 57, 62
A.57
B.53
C.49
D.62
Answer: D.62
Explanation: 62 is the number which is not belong to the arithmetic progression where all other number are in A.P. Ans: D
Question: In how many ways can a group of 20 friends be seated round 2 tables if one of the tables can seat 12 and the other can seat 8 people?
A.15C5 * 9! *4!
B.15C3 * 8! *3!
C.20C4 * 11! * 7!
D.21C2 * 10! *3!
Answer: C.20C4 * 11! * 7!
Explanation: 12 people can be selected from 20 people in 20C12 ways.
Remaining 8 people can be selected from 8 people in 8C8 ways.
Now, arranging 12 people on a round table = (12-1) ! = 11!
Arranging 8 people on a round table = (8-1) ! = 7!
Hence, total number of ways = 20C12 * 11! * 8C8 * 7!
= 20C4 * 11! * 7!
C
Question: A Man travelled a distance of 61 km in 9 hours. He travelled partly on foot at 4 km/hr and partly on bicycle at 9 km/hr. What is the distance travelled on foot?
A.33
B.38
C.16
D.87
Answer: C.16
Explanation: Let the time in which he travelled on foot = x hr
Then the time in which he travelled on bicycle = (9 - x) hr
distance = speed x time
⇒4x+9(9−x)=61⇒4x+81−9x=61⇒5x=20⇒x=4⇒ distance travelled on foot = 4x=4×4=16 km
Answer : C
Question: how many 6 digit no. can be formed using digits 0 to 5,without repetition such that number is divisible by digit at its unit place?
A.420
B.426
C.432
D.456
Answer: B.426
Explanation: when unit place is 1 then numbers which are divisible by 1 = 96 (4*4*3*2*1*1 ways)
when unit place is 2 then numbers which are divisible by 2 = 96 (4*4*3*2*1*1 ways)
when unit place is 3 then numbers which are divisible by 3 = 96 (4*4*3*2*1*1 ways)
when unit place is 3 then numbers which are divisible by 4 = 42 (3*3*2*1*1*1 ways when last two digits are 24 and 4*3*2*1*1*1 ways when last two digits are 04)
when unit place is 3 then numbers which are divisible by 5 = 96 (4*4*3*2*1*1 ways)
total=426
ANSWER:B
Question: The sum of the ages of 5 children born at the intervals of 3 years each is 70 years. What is the age of the youngest child?
A.2 years
B.4 years
C.6 years
D.8 years
Answer: D.8 years
Explanation: Let the ages of the children be x, (x + 3), (x + 6), (x + 9) and (x +12) years.
Then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 70
5x = 40 => x = 8.
Age of youngest child = x = 8 years.
ANSWER:D
Question: In how many ways can three boys and five girls sit in a row such that all boys sit together?
A.A)4320
B.B)9022
C.C)2880
D.D)1097
Answer: A.A)4320
Explanation: Treat all boys as one unit. Now there are Six students and they can be arranged in 6! ways. Again three boys can be arranged among themselves in 3! ways.
Required number of arrangements
= 6! * 3! = 720 * 6
= 4320.
Answer:A
Question: A and B start a business, with A investing the total capital of Rs.50000, on the condition that B pays A interest @ 10% per annum on his half of the capital. A is a working partner and receives Rs.1500 per month from the total profit and any profit remaining is equally shared by both of them. At the end of the year, it was found that the income of A is twice that of B. Find the total profit for the year?
A.53000
B.58000
C.50000
D.59000
Answer: D.59000
Explanation: Interest received by A from B = 10% of half of Rs.50000 = 10% * 25000 = 2500.
Amount received by A per annum for being a working partner = 1500 * 12 = Rs.18000.
Let 'P' be the part of the remaining profit that A receives as his share. Total income of A = (2500 + 18000 + P)
Total income of B = only his share from the remaining profit = 'P', as A and B share the remaining profit equally.
Income of A = Twice the income of B
(2500 + 18000 + P) = 2(P)
P = 20500
Total profit = 2P + 18000
= 2*20500 + 18000 = 59000
ANSWER:D
Question: Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 90 kmph and 72 kmph. After how much time will the trains meet?
A.20/8 sec
B.20/9 sec
C.20/7 sec
D.22/7 sec
Answer: B.20/9 sec
Explanation: They are moving in opposite directions, relative speed is equal to the sum of their speeds.
Relative speed = (90 + 72)*5/18 = 9*5 = 45 mps.
The time required = d/s = 100/45 = 20/9 sec.Answer:B
Question: The sum of the numbers is 264. If the first number be twice the second and third number be one-third of the first, then the second number is:
A.48
B.54
C.72
D.84
Answer: C.72
Explanation: Let the second number be x. Then, first number = 2x and third number = 2x/3.
2x + x + 2x/3 = 264
11x/3 = 264
x = 72
ANSWER:C
Question: Two taps can separately fill a cistern 5minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 20 minutes. The waste pipe can empty the full cistern in?
A.A)7
B.B)4.6
C.C)8
D.D)9
Answer: B.B)4.6
Explanation: 1/5 + 1/15 - 1/x = 1/20
x = 4.6
Answer:B
Question: A mixture contains milk and water in the ratio 3:2. On adding 10 litters of water, the ratio of milk to water becomes 2:3. Total quantity of milk & water before adding water to it?
A.10
B.30
C.50
D.20
Answer: D.20
Explanation: Explanation:
milk:water = 3:2
after adding 10 liters of water
milk:water = 2:3
Olny water patrs increase when mixture of water
milk:wate = 3:2 = 2*(3:2) = 6:4
after adding 10 liters of water
milk:water = 2:3 = 3*(2:3) = 6:9
milk parts always same
Short cut method:
milk:water = 6 : 4
after adding 10 liters of water
milk:water = 6 : 9
milk is same but water increse 10liters then the water ratio is increse 5 parts
5 part -----> 10 liters
The quantity of milk in the original mixture is = 6 : 4 = 6 + 4 = 10
10 parts -----> 20 liters (Answer is = 20)
Short cut method - 2 : for Only milk problems
milk : water
6 : 4
6 : 9
milk ratio same but water ratio 5 parts incress per 10 liters
5 part of ratio -------> 10 liters
10 part of ratio ------> 20 liters
Answer: Option D
Question: How much is 55% of 40 is greater than 4/5 of 25?
A.29
B.776
C.2
D.12
Answer: C.2
Explanation: (55/100) * 40 – (4/5) * 25
22 - 20 = 2
Answer: C
Question: Alice’s take-home pay last year was the same each month, and she saved the same fraction of her take-home pay each month. The total amount of money that she had saved at the end of the year was 5 times the amount of that portion of her monthly take-home pay that she did NOT save. If all the money that she saved last year was from her take-home pay, what fraction of her take-home pay did she save each month?
A.1/7
B.1/5
C.1/4
D.5/17
Answer: D.5/17
Explanation: Alice's take-home pay was the same each month, and she saved the same fraction of her take-home pay each month. The total amount of money she had saved at the end of the year was 3 times the amount of that portion of her monthly take-home pay that she did not save. If all the money that she saved last year was from her take-home pay, what fraction of her take-home pay did she save each month?
solution:
Suppose the portion of her salary that she saved is X
and the remaining portion is Y
X+Y= total take home salary
given, 12X = 5Y
or 12/5X = Y
Total take-home salary= X+12/5X= 17/5 X
hence, she saved 5/17-th portion of her take home salary
D
Question: 8,27,64,125,216,???,512
A.346
B.343
C.348
D.339
Answer: B.343
Explanation: it is a series of cubes of numbers....
8=2^3
27=3^3
64=4^3
125=5^3
216=6^3
512=8^3
So, 7^3=343 is the missing number.
ANSWER:B
Question: Donovan took a math test and got 35 correct and 12 incorrect answers.
What was the percentage of correct answers? (Round to the nearest
hundredth)
A.57.78%
B.67.78%
C.74.47%
D.47.78%
Answer: C.74.47%
Explanation: 35 correct our of 47 total (35+12)
35/47
correct answer C
Question: One copy machine can make 20 copies a minute, and a second copy machine makes 10 copies a minute. If the two copiers work together, how long would it take them to make 900 copies?
A.10 minutes
B.20 minutes
C.25 minutes
D.30 minutes
Answer: D.30 minutes
Explanation: Total work done by both machines in a minute = 20 + 10 = 30 copies
Total number of copies required = 900
Time = 900/30 = 30 mins
Answer D
Question: In a fuel station the service costs $1.75 per car, every liter of fuel costs 0.75$. Assuming that a company owns 12 cars and that every fuel tank contains 55 liters and they are all empty, how much money total will it cost to fuel all cars?
A.320$
B.420$
C.490$
D.516$
Answer: D.516$
Explanation: 12*1.75 + 0.75*12*55 = 516 hence - D
Question: Find the fraction which has the same ratio to 2/13 that 5/34 has to 7/48.
A.240/1542
B.230/1521
C.240/1547
D.240/1528
Answer: C.240/1547
Explanation: P : 2/13 = 5/34 : 7/48
As the product of the means is equal to the product of the extremes.
P*7/48 = 2/13 * 5/34
P*7/48 = 10/442
P = 480/3094 => P = 240/1547
Answer: C