RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A 300 meter long train crosses a platform in 48 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
A.227
B.266
C.230
D.500
Answer: D.500
Explanation: Speed = [300 / 18] m/sec = 50/3 m/sec.
Let the length of the platform be x meters.
Then, x + 300 / 48 = 50/3
3(x + 300) = 2400 è x = 500m.
Answer: D
Question: A restaurant meal cost $35.50 and there was no tax. If the tip was more than 10 percent but less than 15 percent of the cost of the meal, then total amount paid must have been between:
A.$40 and $42
B.$39 and $41
C.$38 and 40
D.$37 and $39
Answer: B.$39 and $41
Explanation: let tip=t
meal cost=35.50
range of tip = from 10% of 35.5 to 15% of 35.5 = 3.55 to 5.325
hence range of amount paid= 35.5+T= 39.05 to 40.825
ANSWER:B
Question: An article is bought for Rs.675 and sold for Rs.900, find the gain percent?
A.16 2/3%
B.30%
C.33 1/3%
D.33 1/6%
Answer: C.33 1/3%
Explanation: Explanation:
675 ---- 225
100 ---- ? => 33 1/3%
ANSWER IS C
Question: The difference between the local value and the face value of 7 in the numeral 32675149 is?
A.75142
B.64851
C.5149
D.69993
Answer: D.69993
Explanation: (Local value of 7) - (Face value of 7) = (70000 - 7) = 69993
D)
Question: Lola rolls a die 3 times. What is the probability that she gets a 4 on the last one of the 3 rolls?
A.215/216
B.216
C.1/216
D.none
Answer: A.215/216
Explanation: the die has 6 sides and it was rolle 3 times, then 6*6*6=216
the number of ways to get 4 is 1
then 1/216
the probability would be
1-1/216=215/216
Answer A
Question: A can complete a project in 20 days while B can complete same project in 30 days. If A and B start working together and A leaves the work 10 days before completion of project, then in how many days the project will be completed?
A.18
B.19
C.20
D.21
Answer: A.18
Explanation: A's 1day work=1/20;
B's 1day work=1/30;
(A+B) 1day work=(1/20+1/30)=1/12;
It is given that A leaves the work 10 days before completion of the project..
Thus,B alone does the remaining job in 10 days.
So,In 10 days ,B can do 1/3 w ..
Thus,(A+B) have worked (1-1/3)=2/3 w..
(A+B)can do 1/12 work in 1 day...
They did 2/3 w in 8 days.
Total days=(8+10) = 18
ANSWER:A
Question: Calculate the share of profit that belongs to Mark in a partnership business he invested Rs 31,000. His partner Abel invested RS.36,800 and the business made a profit of Rs 18,400.
A.8499.98
B.8489.98
C.8412.98
D.8732.98
Answer: C.8412.98
Explanation: Explanation:
Ratio of their shares = 31,000 : 36,800 = 155 : 184.
Mark's share = Rs. (18400 * 155/339) = Rs. 8412.98.
Answer: C) 8412.98
Question: At a certain amateur bands rock show the ratio of freaks to nerds to geeks( G) is 1:2:3. If these are the only types of people in the crowd, and each person in the crowd has the same chance of yelling rock on!, what are the chances that the next person who yells rock on!will be a geek?
A.1/8
B.1/3
C.1/2
D.1/4
Answer: C.1/2
Explanation: Another approach is toassign some nice valuesfor the number of freaks, nerds and geeks.
Given: the ratio of freaks to nerds to geeks is 1:2:3
So, let's say there is: 1 freak, 2 nerds and3geeks for a TOTAL of6people.
P(next person who yellsrock on!is a geek) = (# of geeks in the crowd)/(TOTAL # of people in the crowd)
=3/6
= 1/2
Answer:
C
Question: A town in California fines residents who do not pay their property taxes on time. All residents must pay their taxes before July 1st for that calendar year or face the following fine structure: For the first month the taxes are overdue (that would be any payment made on July 1st through July 31st), the total fine is 1% of the original tax bill; for each additional month that the taxes are overdue, the total fine is increased by $1000 or doubled, whichever results in the lesser amount. What is the total fine for a resident of that town who originally owed $50,000 in property taxes, but did not pay until October 15th?
A.$1,400
B.$1,800
C.$4,000
D.$21,400
Answer: C.$4,000
Explanation: Original amount = 50,000
Fine for July = 50,000 * 1% = 500
Fine for August = lesser of the 2 , 500+1000= 1500 or 500*2=1000 . Pick 1000
Fine for September = 1000+1000=2000 or 1000*2 = 2000. Pick 2000
Fine for October = 2000+1000=3000 or 2000*2 = 4000. Pick 4000.
The wording of the question should be have been clearer as total fines should be = 4000+2000+1000+500 = 7500 and NOT 4000.
4000 is the fine ONLY for the month of October!
C
Question: The average salary of a person for the months of January, February, March and April is Rs.8000 and that for the months February, March, April and May is Rs.8900. If his salary for the month of May is Rs.6500, find his salary for the month of January?
A.s.2900
B.s.3570
C.s.4500
D.s.4550
Answer: A.s.2900
Explanation: Sum of the salaries of the person for the months of January, February, March and April
= 4 * 8000 = 32000 ----(1)
Sum of the salaries of the person for the months of February, March, April and May
= 4 * 8900
= 35600 ----(2)
(2)-(1) i.e. May - Jan =3600
Salary of May is Rs.6500
Salary of January = Rs.2900
Answer:A
Question: If n is a positive integer and n^2 is divisible by 72, then the largest positive integer W that must divide n is?
A.6
B.12
C.24
D.36
Answer: B.12
Explanation: Q: If n is a positive integer and n^2 is divisible by 72, then the largest positive integer W that must divide n is:
A 6, B 12, C 24, D 36, E 48
n^2 is divisible by 72, but it must also be greater than 72. If n is an integer, then n^2 must be a perfect square. The factorization of 72 is (8)(9), so if it is multiplied by 2, it will be (2)(8)(9) = (16)(9) = 144, a perfect square. So n^2 must be at least 144 or a multiple of 144, which means that n must be 12 or a multiple of 12.B
Question: Sanoop bought 8 t-shirts at an average price (arithmetic mean) of Rs.530. If Sanoop returned 3 t-shirts to the retailer, and the average price of the remaining t-shirts was Rs.505, then what is the average price, of the three returned t-shirts?
A.560
B.561
C.562
D.571.6
Answer: D.571.6
Explanation: Total price of 8 t-shirts= 8*530=4240
Total price of 5 t-shirts=5*505=2525
Total price of 3 t-shirts=4240-2525=1715
Average price of 3 t-shirts=1715/3=571.6
Correct option Answer:D
Question: A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
A.90
B.94
C.96
D.97
Answer: A.90
Explanation: Let number of notes of each denomination be x.
Then x + 5x + 10x = 480
16x = 480
x = 30.
Hence, total number of notes = 3x = 90.
A
Question: The ration of the number of boys and girls in a college is 2:3. If the percentage is increase in the number of boys and girls be 10% and 20% respectively. What will be the new ration?
A.21:22
B.13:17
C.15:43
D.11:18
Answer: D.11:18
Explanation: Let the number of boys and girls be 2x and 3x
their increased number is 110% of 2x and 120% of 3x
2x*110/100 and 3x*120/100
11x/5 and 18x/5
Required ratio = 11x/5 : 18x/5 = 11:18
Answer is D
Question: A and B can finish a work in 16 days while A alone can do the same work in 24 days. In how many days B alone will complete the work?
A.56
B.48
C.30
D.40
Answer: B.48
Explanation: B = 1/16 â€“ 1/24 = 1/48 => 48 days
ANSWER B
Question: A sum of money is put out at compound interest for 2 years at 20%. It would fetch Rs.482 more if the interest were payable half-yearly, then it were pay able yearly. Find the sum?
A.2999
B.2770
C.2708
D.2000
Answer: D.2000
Explanation: P(11/10)4 - P(6/5)2 = 482
P = 2000
Answer: D
Question: Find the average of the first 19 natural numbers?
A.8
B.9
C.10
D.11
Answer: C.10
Explanation: Average of the first 'n' natural numbers = (n + 1)/2
We get (19 + 1)/2 = 10
ANSWER:C
Question: Alice and Bob contributed $8 and $4 respectively to the price of a $12 lottery ticket. The ticket won fourth prize, worth $24,000. How much money should they each receive from the prize?
A.Alice should get $13,000; Bob should get $11,000
B.Alice should get $16,000; Bob should get $8,000
C.Alice should get $17,000; Bob should get $7,000
D.Alice should get $17,500; Bob should get $6,500
Answer: B.Alice should get $16,000; Bob should get $8,000
Explanation: A = $8
B = $4
A share 8 parts & B share 4 parts
Total 12 parts -----> $24000
----> 1 part -------> $2000
A share = 8 parts -----> $12000
B
Question: The sum of the mean, the median, and the range of the set {1, 2, 9} equals which one of the following values?
A.12
B.14
C.16
D.8
Answer: B.14
Explanation: set {1, 2, 9}
Mean = (1+2+9)/3 = 4
Meadian = Middle term = 2
Range = Highest - Lowest = 9-1 = 8
Mean+Median+Range = 4+2+8 = 14
Answer: Option B
Question: Two trains are running in opposite directions in the same speed. The length of each train is 120 meter. If they cross each other in 16 seconds, the speed of each train (in km/hr) is
A.42
B.27
C.28
D.20
Answer: B.27
Explanation: Explanation:
Distance covered = 120+120 = 240 m
Time = 16 s
Let the speed of each train = v. Then relative speed = v+v = 2v
2v = distance/time = 240/16 = 15 m/s
Speed of each train = v = 15/2 = 7.5 m/s
= 7.5×36/10 km/hr = 27 km/hr
Answer: Option B
Question: Concentrated orange juice comes inside a cylinder tube with a radius of 2.5 inches and a height of 15 inches. The tubes are packed into wooden boxes, each with dimensions of 11 inches by 10 inches by 31 inches. How many tubes of concentrated orange juice, at the most, can fit into 3 wooden boxes?
A.24.
B.28.
C.36.
D.42.
Answer: A.24.
Explanation: Diameter of tube= 5 inches
Height of wooden tube= 15 inches
Two tubes can stand in 31 inches height
Two tubes can fit in 11 inches length
Two tubes can fit in 10 inches width
So, one box can hold 8 tubes
Three boxes can hold= 8*3= 24 tubes
A is the answer
Question: What is 2 2/3 - 1 1/4 divided by 1/4 - 1/6 ?
A.17/36
B.36/17
C.17/6
D.17/1
Answer: D.17/1
Explanation: 2 2/3 - 1 1/4 = 8/3 - 5/4 = (32 - 15 )/12 = 17/12
1/4 - 1/6 = (6-4)/24 = 2/24 = 1/12
So 17/12/1/12 = 17/12 * 12 = 17/1
Answer - D
Question: X and Y started a business in partnership investing Rs. 8,000 and Rs. 12,000 respectively. After nine months, Z joined them with Rs. 20,000. What will be Z's share in total profit of Rs. 20,000 earned at the end of 3 years from the starting of the business?
A.Rs. 8,751
B.Rs. 8,571
C.Rs. 9,751
D.Rs. 9,571
Answer: B.Rs. 8,571
Explanation: Solution: X : Y : Z = (8,000 * 36) : (12,000 * 36) : (20,000 * 27) = 8 : 12 : 15.
So B's share = Rs. (20000 * 15/35) = Rs. 8,571.
Answer: Option B
Question: In Kaya's teacher's desk there are 24 pink highlighters, 28 yellow highlighters, and 25 blue highlighters. How many highlighters are there in all?
A.11
B.22
C.77
D.33
Answer: C.77
Explanation: Add the numbers of highlighters.
24 + 28 + 25 =77.
Answer is C.
Question: Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is?
A.48
B.9
C.7
D.67
Answer: A.48
Explanation: :
Relative speed = 60 + 90 = 150 km/hr.
= 150 * 5/18 = 125/3 m/sec.
Distance covered = 1.10 + 0.9 = 2 km = 2000 m.
Required time = 2000 * 3/125
= 48 sec.
Answer: A
Question: A train running at the speed of 54 km/hr crosses a pole in 9 seconds. What is the length of the train?
A.140
B.135
C.150
D.170
Answer: B.135
Explanation: Speed=(54x5/18)m/sec = 15 m/sec.
Length of the train = (Speed x Time).
Length of the train = (15 x 9)m = 135 m.
Answer is B.
Question: The simple interest accrued on an amount of Rs.49500 at he end of three is Rs.17820. What would be the compound interest accured on the same amount at teh same rate in the same period? (Round off your answer to two decimal places?
A.Rs.20043.94
B.Rs.20043.99
C.Rs.20043.91
D.Rs.20043.92
Answer: A.Rs.20043.94
Explanation: Let the rate of interest be R% p.a.
(49500)(3)(R)/100 = 17820
495R = 5940
R = 12
CI on Rs.49500 at 12% p.a. for three years
= 49500{[1 + 12/100]3 - 1} = 69543.936 - 49500 = Rs.20043.94
when rounded off to two decimal places.
Answer:A
Question: The average of five integers is 60, and none of these integers is greater than 100. If the average of three of the integers is 65, what is the least possible value of one of the other two integers?
A.5
B.15
C.20
D.21
Answer: A.5
Explanation: When it comes to averages, we know thataverage value = (sum of n values)/n
We can rewrite this into a useful formula:sum of n values = (average value)(n)
The average of five integers is 60
So, the sum of ALL 5 integers = (60)(5) =300
The average of three of the integers is 65
So, the sum of the 3 integers = (65)(3) =195
So, the sum of the 2 REMAINING integers =300-195=105
If the sum of the 2 REMAINING integers =105, and we want to minimize one value, we must MAXIMIZE the other value.
100 is the maximum value so let 1 integer = 100, which means the other must equal 5
Answer: A
Question: At Joes Steakhouse the hourly wage for a chef is 20% greater than that of a dishwasher, and the hourly wage of a dishwasher is half as much as the hourly wage of a manager. If a managers wage is $8.50 per hour, how much less than a manager does a chef earn each hour?
A.$1.40
B.$2.40
C.$3.40
D.$4.40
Answer: C.$3.40
Explanation: Manager wages per hour = $8.50
Dishwasher wages per hour = half of manager's wages. = 1/2($8.50) ==> $4.25
Chef wages per hour = 20% greater than Dishwasher wages
--> 20% of $4.25 = (20*($4.25)) /100
--> ($85)/100
--> $0.85
Therefore,
Chef wages per hour = $4.25 + $0.85 ==> $5.10
Difference of wages between manager and chef = $8.50 - $5.10 ==> $3.40
ANSWER:C
Question: If y exceeds x by 25%, then x is less than y by?
A.21%
B.29%
C.20%
D.80%
Answer: C.20%
Explanation: X=100	y=125
125--------25
100--------? => 20%
Answer:C
Question: In a survey, 60 percent of the people surveyed admitted to being smokers, while 25 percent of the people surveyed who were smokers declined to include that information in the survey. What percent of the people surveyed were actually smokers?
A.20%
B.80%
C.90%
D.75%
Answer: B.80%
Explanation: Statement: 60% of People Surveyed (PS) Admitted to being Smokers (AS). Of the people who took the survey who were Smokers (S), 25% declined to admit to being smokers (notAS). [Note: A Venn Diagram is useful to visualize the problem.]
Solution: Sample space is 100%.
PS = 100%
AS/PS = 60%
notAS/S = 25% => 100% - 25% => AS/S = 75%
S/PS = (60)/(75)% = 80%
Answer: B
Question: Two pipes can separately fill a tank in 20 and 30 hours respectively. Both the pipes are opened to fill the tank but when the tank is full, a leak develops in the tank through which one-third of water supplied by both the pipes goes out. What is the total time taken to fill the tank?
A.65 hrs
B.16 hrs
C.88 hrs
D.55 hrs
Answer: B.16 hrs
Explanation: 1/20 + 1/30 = 1/12
1 + 1/3 = 4/3
1 --- 12
4/3 --- ?
4/3 * 12 = 16 hrs
Answer:B
Question: Ben is driving on the highway at y miles per hour. (One mile equals 5,280 feet.) Ben's tires have a circumference of z feet. Which of the following expressions gives the number of revolutions each wheel turns in one hour?
A.5,280(x/y)
B.5,280(y/z)
C.5,280(xy)
D.5,280/(xy)
Answer: B.5,280(y/z)
Explanation: In one hour, at the rate of y miles per hour, Ben covers y miles, so 5,280y feet.
The number of revolutions = distance/circumference = 5,280y/z.
Answer: B.
Question: If there is exactly one root of the equation x^2 + 2ax + b, where a and b are positive constants, what is b in terms of a?
A.a/2
B.a
C.3a/2
D.a^2
Answer: D.a^2
Explanation: one root for a quadratic equation ax^2+bx+c is possible only when b^2 = 4ac ---1
Here b = 2a
c= b
a = 1
substituting these values in 1, we have
2^2*a^2 = 4b => b =a^2
Answer is D.
Question: A man sells a horse for Rs.620 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse?
A.587
B.679
C.740
D.860
Answer: C.740
Explanation: CP = SP + 1CP = SP - g
620 + x = 980 - 2x
3x = 360 => x
= 120
CP = 620 + 120
= 740
Answer:C
Question: A and B are two multiples of 14, and Q is the set of consecutive integers between A and B, inclusive. If Q contains 13 multiples of 14, how many multiples of 7 are there in Q?
A.23
B.24
C.25
D.26
Answer: C.25
Explanation: Halfway between the multiples of 14, there will be another multiple of 7.
The total number of multiples of 7 is 13+12 = 25.
The answer is C.
Question: A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?
A.27 seconds
B.29 seconds
C.40 seconds
D.11 seconds
Answer: C.40 seconds
Explanation: Speed = 45 Km/hr = 45*(5/18) m/sec = 25/2 m/sec
Total distance = 360+140 = 500 meter
Time = Distance/speed
= 500 * (2/25) = 40 seconds
Answer:C
Question: If A^4 + B^4 = 100, then the greatest possible value of B is between
A.0 and 1
B.1 and 2
C.2 and 3
D.3 and 4
Answer: D.3 and 4
Explanation: for the greatest possible value of B^4, we must minimize the value of B^4 i.e. lets say A^4 = 0
then we need to find a number B such that B^4 < 100. 3^4 = 81 and 4^4 = 256 so we can say that the maximum possible value of B can be a little more than 3 hence answer = between 3 and 4
hence D
Question: Set A contains all the even numbers between 4 and 50 inclusive. Set B contains all the even numbers between 104 and 150 inclusive. What is the difference between the sum of elements of set B and the sum of the elements of set A?
A.2400
B.2550
C.5050
D.6275
Answer: A.2400
Explanation: Set A contains 4 , 6 ... 50
Set B contains 104 , 106 ... 150
Number of terms in each set = 24
Difference between corresponding terms in set A and B = 100
Difference between Sum of set B and set A = 100*24 = 2400
Answer A
Question: A shopkeeper sells sugar in such a way that the selling price of 950g of sugar is the same s the cost price of 1 kg of sugar. What is his gain percent?
A.5(5/19)
B.5(1/5)
C.5
D.4(1/19)
Answer: A.5(5/19)
Explanation: Solution: Sell sugar = 950g instead of 1000g.
Profit in Sugar = 1000 - 950 = 50g.
Now, % profit = (50*100)/950 = 5(5/19)%.
Short-Cut
% profit = (Goods left/Goods sold)*100.
= (50/950)*100 = 5(5/19)%.
Answer: Option A
Question: A collector collects stamps from foreign countries. In June, she gave 20 percent of her stamps to her friend. In July, she gave 15 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.28%
B.32%
C.36%
D.40%
Answer: B.32%
Explanation: Let x be the number of stamps in the original collection.
The percentage of the collection given away is:
0.2x + 0.15(0.8x) = 0.2x + 0.12x = 0.32x = 32%
The answer is B.
Question: The average age of a family of 6 members is 40 years.If the age of the youngest member is 7 years,what was the average age of the family at the birth of the youngest member?
A.33
B.18
C.21
D.12
Answer: A.33
Explanation: Present age of total members = 6 X 40 = 240
7 yrs back their ages were = 6 x 7 = 42
Ages at the birth of youngest member = 240 - 42 = 198
Therefore, avg age at the birth of youngest member = 198/6 = 33.
ANSWER:A
Question: If x is an integer, which of the following is a possible value of H=(x^2 +2x – 7)/9?
A.-2.4
B.0.268
C.1.166 repeating
D.4.555 repeating
Answer: D.4.555 repeating
Explanation: x is an integer, which of the following is a possible value of H=(x^2 +2x – 7)/9?
Used process of elimination
A. -2.4
when this is multiplied by 9, x is not an integer
B. 0.268
when this is multiplied by 9, x is not an integer
C. 1.166 repeating
when this is multiplied by 9, x is not an integer
D. 4.555 repeating
E. 8.125
when this is multiplied by 9, x is not an integer
Answer choice D seems to fit
Question: A 35 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?
A.10
B.20
C.88
D.77
Answer: A.10
Explanation: 1: 2/5 = 5: 2
2/7 * 35 = 10
Answer: A
Question: A clock loses a minute every three hours for 4 days and gains 1% in the subsequent 6 days. If it was set right on Friday at 12 AM, what will be the time at the end of 10 days?
A.12:54:40 AM
B.12:56:24 AM
C.01:16:40 PM
D.12:54:24 AM
Answer: D.12:54:24 AM
Explanation: Loses 8 minutes each day.
so total loss = 4×8 = 32min
subsequent 6 days = 6×24×60 minutes
1% gain = ( 6×24×60)/100 = 86.4 minutes
so, total gain = 86.4 - 32 = 54.4 min = 54 + 0.4 min = 54 minutes + 0.4 × 60 seconds = 54min + 24seconds
10 days later the clock should be 54 min and 24seconds fast.
so time , 12:54:24 am (Answer D)
Question: A certain farmer pays $30 per acre per month to rent farmland. How much does the farmer pay per month to rent a rectangular plot of farmland that is 1080 feet by 605 feet? (43,560 square feet = 1 acre)
A.$5,330
B.$3,360
C.$450
D.$360
Answer: C.$450
Explanation: Basically the question an error. 1 acre = 43,560 square feet and if it is then the answer is 450(C)
Question: 1,11,21,_ what comes in the next series.
A.1
B.11
C.21
D.31
Answer: D.31
Explanation: 1+10=11
11+10=21
21+10=31
ANSWER:D
Question: One week, a certain truck rental lot had a total of 26 trucks, all of which were on the lot Monday morning. If 50% of the trucks that were rented out during the week were returned to the lot on or before Saturday morning of that week, and if there were at least 14 trucks on the lot that Saturday morning, what is the greatest number of different trucks that could have been rented out during the week?
A.18
B.16
C.12
D.24
Answer: D.24
Explanation: N - Not rented trucks; R - Rented trucks
N + R = 26
N + R/2 = 14
R = 24
D
Question: By selling an article for $225 a person gains $75. What is the gain %?
A.25%
B.30%
C.50%
D.20%
Answer: C.50%
Explanation: S.P. = $225
Gain = $75
C.P. = 225-75 = 150
Gain% = 75/150 * 100 = 50%
Answer is C
Question: Triangle XYZ is an isosceles right triangle. If side XY is longer than side YZ, and the area of the triangle is 49, what is the measure of side XY?
A.4
B.4√2
C.14
D.8√2
Answer: C.14
Explanation: ans C ..14..
xy being larger means it is the hyp..
area =(1/2)*(yz)^2=4 or yz=7*\sqrt{2}..
therefore hyp=xy=14
Question: The regular price per can of a certain brand of soda is $0.40. If the regular price per can is discounted 15 percent when the soda is purchased in 24-can cases, what is the price of 100 cans of this brand of soda purchased in 24-can cases?
A.$16.32
B.$18.00
C.$21.60
D.$34
Answer: D.$34
Explanation: The discounted price of one can of soda is (0.85)($0.40), or $0.34. Therefore, the price of 72 cans of soda at the discounted price would be (100)($0.34)= 34
Answer: D.
Question: Out of 40 applicants to a law school, 15 majored in political science, 20 had a grade point average higher than 3.0, and 10 did not major in political science and had a GPA equal to or lower than 3.0. How many T applicants majored in political science and had a GPA higher than 3.0?
A.5
B.10
C.15
D.25
Answer: A.5
Explanation: Total applicants = 40
Political science = 15 and Non political science = 40 - 15 = 25
GPA > 3.0 = 20 and GPA <= 3.0 = 20
10 Non political science students had GPA <= 3.0 --> 15 Non political science students had GPA > 3.0
GPA > 3.0 in political science = Total - (GPA > 3.0 in non political science) T= 20 - 15 = 5
Answer: A
Question: How many inches are in 2000 millimeters? (round your answer to the nearest hundredth of of an inch).
A.98.74 inches
B.78.74 inches
C.88.74 inches
D.58.74 inches
Answer: B.78.74 inches
Explanation: One inch is the same as 25.4 mm. Let x inches be the same as 1000 mm
x = 1 inch * 2000 mm / 25.4 mm = 78.74 inches
correct answer B
Question: If it takes a machine 3⁄5 minute to produce one item, how many items will it produce in 2 hours?
A.1⁄3
B.4⁄3
C.80
D.200
Answer: D.200
Explanation: 1 item takes 3/5 min so it takes 120 min to produce x
3x/5=120 the x=200
Answer:D
Question: A word is defined as a sequence of five dots arranged in a row. Each dot is colored either red, yellow, or blue. How many distinct words can be formed?
A.124
B.150
C.212
D.243
Answer: D.243
Explanation: 3^5 = 243
The answer is D.
Question: A train crosses a platform of 120 m in 15 sec, same train crosses another platform of length 180 m in 18 sec. then find the length of the train?
A.297m
B.276m
C.267m
D.180m
Answer: B.276m
Explanation: Length of the train be ‘X’
X + 120/15 = X + 180/18
6X + 720 = 5X + 900
X = 180m
Answer: B