RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Anthony and Michael sit on the six member board of directors for company X. If the board is to be split up into 2 three-person subcommittees, what percent E of all the possible subcommittees that include Michael also include Anthony?
A. 20%
B. 30%
C. 40%
D. 50%
Answer: C. 40%
Explanation: The answer is C. Let's look at a committee where Mike belongs (he's person # 1) on that committee. When we choose person #2, there is a 1/5 probability that it's going to be Anthony (then it doesn't matter who the third person is), and 4/5 probability that it's going to be someone else (then person #3 is going to be Anthony with probability 1/4). Total probability E= 1/5+4/5*1/4 = 2/5.C
Question: Find the simple interest on Rs.520 for 7 months at 8 paisa per month?
A.277
B.270
C.291
D.266
Answer: C.291
Explanation: I = (520*7*8)/100 = 291
Answer: C
Question: If the digits of a two-digit number are interchanged, the number so obtained is greater than the original number by 18. If the sum of the two digits of the number is 14. What is the original number ?
A.68
B.77
C.95
D.86
Answer: A.68
Explanation: Explanation :
Let the no. be 10x + y.
No. formed by the interchange of digits = 10y + x
We have y - x = 2 .....(i)
y + x = 14 .....(ii)
Solving (i) and (ii), we get x = 6, and y = 8
∴ the no. is 68.
Answer : Option A
Question: Marco rode his dirt bike at 40 miles per hour (mph) for two hours. If he then continued to ride at a different constant rate for another three hours, and at the end of the three hours his average speed for the entire five hour ride was 20mph, what was his average speed over the three hour portion of his ride?
A.14 mph
B.20/3 mph
C.70/3 mph
D.80/3 mph
Answer: B.20/3 mph
Explanation: Average speed for first two hours, S1 = 40 mph
Distance travelled in these two hours, D1 = 80 miles
Average speed for the entire 5 hour ride, S = 20 mph
Total Distance traveller in the entire 5 hour ride, D = 20 x 5 = 100 miles.
Hence, distance traveller in the latter 3 hour period, D2 = D - D1 = 100 - 80 = 20
Average speed for the latter 3 hour period S2 = D2/3 = 20/3
Hence, the correct answer is B
Question: If n=4p where p is a prime number greater than 1, how many different positive even divisors does n have, including n?
A.1
B.2
C.3
D.4
Answer: C.3
Explanation: We're told that N = 4P and that P is a prime number greater than 1. Let's TEST P = 2; so N = 8
The question now asks how many DIFFERENT positive EVEN divisors does 8 have, including 8?
8:
1,8
4,2
How many of these divisors are EVEN? 2,4,8…..3 even divisors.
ANSWER:C
Question: The perimeter of one square is 24m & that of another is 32m. Perimeter of a square whose area is equal to the sum of the areas of the 2 squares will be
A.20 m
B.24 m
C.28 m
D.40 m
Answer: D.40 m
Explanation: Perimeter of square = 4 * Side
Perimeter of first square = 24 m.
Side of first square =
∴ Area of first square =
Perimeter of second square = 32 m.
Side of second square =
∴ Area of second square =
Sum of the areas of two squares = 36 + 64 = 100 m2
∴ Side of square =
∴ Perimeter of square = 4 * 10 = 40 m.
D
Question: The price of a gallon of gasoline was $30 on the 15th of March. By the 15th of April, the price per gallon had increased by 20%, and by the 15th of May the price had increased again to a total of $45 per gallon. What was the percent change in the price of a gallon of gasoline between the 15th of April and the 15th of May?
A.20%
B.25%
C.30%
D.35%
Answer: B.25%
Explanation: Price of a gallon of gasoline was $30 on the 15th of March
Price of a gallon of gasoline increased by 20 %so the price on 15th of April = 1.2*30 = $36
Price of a gallon of gasoline was $45 on 15th of May
so there was a increase of $9 from 15th of april to 15 th of may
% increase = 9/36 * 100 = 25 %
Correct answer - B
Question: In two triangles, the ratio of the areas is 4 : 3 and the ratio of their heights is 3 : 4. Find the ratio of their bases.
A.2:3
B.4:5
C.16:9
D.7:9
Answer: C.16:9
Explanation: Sol. Let the bases of the two triangles be x and y and their heights be 3h and 4h respectively.
Then,
((1/2) X xX 3h)/(1/2) X y X 4h) =4/3  x/y =(4/3 X 4/3)=16/9
Required ratio = 16 : 9.
Ans: C
Question: Rectangle A has sides a and b, and rectangle B has sides c and d. If a/c=b/d=4/5, what is the ratio of rectangle A’s area to rectangle B’s area?
A.5/4
B.25/16
C.4/5
D.16/25
Answer: D.16/25
Explanation: The area of rectangle A is ab.
c=5a/4 and d=5b/4.
The area of rectangle B is cd=25ab/16.
The ratio of rectangle A's area to rectangle B's area is ab / (25ab/16) = 16/25.
The answer is D.
Question: There are two positive numbers in the ratio 5:8. If the larger number exceeds the smaller by 18, then find the smaller number?
A.30
B.66
C.77
D.88
Answer: A.30
Explanation: Let the two positive numbers be 5x and 8x respectively.
8x - 5x = 18
3x = 18 => x = 6
=> Smaller number = 5x = 30.
Answer: A
Question: A 100-litre mixture of milk and water contains 49 litres of milk. 'x' litres of this mixture is removed and replaced with an equal quantum of water. If the process is repeated once, then the concentration of the milk stands reduced at 25%. What is the value of x?
A.27.5 litres
B.26.67 litres
C.27.67 litres
D.28.57 litres
Answer: D.28.57 litres
Explanation: Working formula ...
Initial Concentration*Initial Volume=Final Concentration*Final Volume.
Let X is the part removed from 100 lts.
49%(1-X/100)^2 = 25% * 100%
(1-x/100)^2=25/49------>(1-x/100)^2=(5/7)^2
100-X=500/7
x=28.57...
Ans D
Question: A marble shop contains 6 blue marbles, 7 red marbles, and 7 green marbles. If 4 marbles are purchased at random from the shop, what is the probability that the 4 marbles will be blue?
A.5/19
B.9/20
C.1/57
D.15/57
Answer: C.1/57
Explanation: It doesn't matter which type of card you choose, so:
Probability of choosing 1st card: 6/20
Probability of choosing 2nd card of the same type: 5/19
Probability of choosing 3rd card of the same type: 4/18
Multiply and you get 1/57
Answer C.
Question: Which greatest possible length can be used to measure exactly 12 meter 65 cm, 15 meter 25 cm and 10 meter 65 cm
A.45cm
B.5cm
C.4cm
D.15cm
Answer: B.5cm
Explanation: Explanation:
Convert first all terms into cm.
i.e. 1265 cm, 1525cm, 1065cm.
Now whenever we need to calculate this type of question, we need to find the HCF. HCF of above terms is 5.
Option B
Question: Albert buys 4 cows and 9 cows for $13,400. If he sells the cows at 10% profit and the cows at 20% profit, then he earns a total profit of $1880. The cost of a cow is:
A.1000
B.3000
C.2000
D.4000
Answer: C.2000
Explanation: C
2000
Let C.P. of each cow be $x and C.P. of each cow be $y.
Then, 4x + 9y = 13400 -- (i)
And, 10% of 4x + 20% of 9y = 1880
2/5 x + 9/5 y = 1880 => 2x + 9y = 9400 -- (ii)
Solving (i) and (ii), we get : x = 2000 and y = 600.
Cost price of each cow = $2000.
Question: A wheel that has 4 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions mad by the larger wheel is:
A.49
B.4
C.12
D.6
Answer: D.6
Explanation: Let the required number of revolutions made by larger wheel be x.
Then, More cogs, Less revolutions (Indirect Proportion)
14 : 4 :: 21 : x 14 * x = 4 x 21
x =	(4 x 21)/14
x = 6.
Answer is D.
Question: A sum of money becomes double itself in 8 years at simple interest. How many times will it become 10 years at the same rate?
A.10
B.99
C.87
D.66
Answer: A.10
Explanation: P ---- 2P ---- 8 years
2 1/4 P ---- 10 years
Answer: A
Question: Two children want to walk together to visit their aunt, who lives exactly 8 blocks north and 7 blocks east of their current location. If they travel only along streets and do not travel diagonally, the shortest possible route connecting the two points is exactly 15 blocks. How many different 15-block routes may they take to travel the shortest possible distance to their aunt’s house?
A.15!*8!*7!
B.15!*8*7
C.23!/(8!*7!)
D.15!/(8!*7!)
Answer: D.15!/(8!*7!)
Explanation: If they need to walk 8 blocks north and 7 blocks east, we can express this route as NNNNNNNNEEEEEEE. The question thus asks us how many ways we can arrange those letters.
The number of arrangements of 15 things is 15!
We then divide by the repetitions of N's and E's, which are 8! and 7! respectively.
The number of walking routes is 15!/(8!*7!).
The answer is D.
Question: If the square root of 1,600 is 40, then what is 40 squared?
A.1,600
B.16
C.4
D.440
Answer: A.1,600
Explanation: A number squared is a number multiplied by itself
Ex) 4 squared is 16 because 4*4=16
The square root of a number is a number, that if squared, would equal the number you're trying to find the square root of.
Ex) What is the square root of 16? The square root of 16=4, so 4 squared equals 16
So to solve this equation you would do:
The square root of 1,600=40, so 40 squared equals 1,600
(A)
Question: There is 60% increase in an amount in 6 years at simple interest. What will be the compound interest of $ 12,000 after 3 years at the same rate?
A.2160
B.3120
C.3972
D.6240
Answer: C.3972
Explanation: Let P = $ 100. Then, S.I. $. 60 and T = 6 years.
R = 100 x 60 = 10% p.a.
100 x 6
Now, P = $ 12000. T = 3 years and R = 10% p.a.
CI = 3972
ANSWER C
Question: A can complete a project in 20 days and B can complete the same project in 40 days. If A and B start working on the project together and A quits 10 days before the project is completed, in how many days will the project be completed?
A.18 days
B.20 days
C.26.67 days
D.16 days
Answer: B.20 days
Explanation: Let X = the number of days taken to complete the project.
The amount of work done by A is (x-10) * (1/20).
The amount of work done by B is (x) * (1/40).
(1/20)*(x-10) + (1/40)*(x) = 1
(x/20) + (x/40) - (10/20) = 1
3x/40 = 3/2
x = 20
Therefore, the answer is B: 20.
Question: How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?
A.5040
B.2548
C.300
D.547
Answer: A.5040
Explanation: LOGARITHMS' contains 10 different letters.
Required number of words	= Number of arrangements of 10 letters, taking 4 at a time.
= 10P4
= (10 x 9 x 8 x 7)
= 5040.
ANSWER A
Question: Each of the products produced yesterday was checked by worker x or worker y. 0.5% of the products checked by worker x are defective and 0.8% of the products checked by worker y are defective. If the total defective rate of all the products checked by worker x and worker y is 0.65%, what fraction of the products was checked by worker y?
A.1/5
B.1/2
C.2/3
D.1/4
Answer: B.1/2
Explanation: x: 0.5% is 0.15%-points from 0.65%.
y: 0.8% is 0.15%-points from 0.65%.
Therefore the ratio of products checked by y:x is 1:1.
Thus, worker y checked 1/2 of the products.
The answer is B.
Question: 50 men took a dip in a water tank 30 m long and 20 m broad on a religious day. If the average displacement of water by a man is 4m3 , then the rise in the water level in the tank will be:
A.20 cm
B.25 cm
C.33.3 cm
D.50 cm
Answer: C.33.3 cm
Explanation: Explanation:
Total volume of water displaced =(4 x 50) m3 = 200 m3
Rise in water level = 200/30Ã—20= 0.333m = 33.3cm
Answer: C
Question: The difference between a two-digit number and the number obtained by interchanging the two digits is 63. Which is the smaller of the two numbers?
A.29
B.70
C.92
D.Cannot be determined
Answer: D.Cannot be determined
Explanation: Explanation:
Let the ten's digit be x and units digit by y.
Then,
(10x + y) - (10y + x) = 63
9(x - y) = 63
x - y = 7
Thus, none of the numbers can be determined.
ANSWER IS D
Question: Mrs. Napier has 26 stickers to give to 4 students for a reward. How many
stickers will each student get? Will there be any stickers left over?
A.6-5
B.5-4
C.3-6
D.2-3
Answer: A.6-5
Explanation: 26/4 = 2 R 5 Mrs. Napier will give each student 6 stickers and there
will be 5 left over.
correct answer A
Question: A motor pool has 300 vehicles of which 30 percent are trucks. 15 percent of all the vehicles in the motor pool are diesel, including 15 trucks. What percent of the motor pool is composed of vehicles that are neither trucks nor diesel?
A.165%
B.90%
C.60%
D.55%
Answer: C.60%
Explanation: Trucks = 30% of 300 = 90
Other Vehicles (Excluding Trucks) = 300-90 = 210
Diesel Vehicle = 15% of 300 = 45 (Including 15 Trucks)
Other Diesel Vehicles (Excluding Trucks) = 45-15 = 30
Trucks that are NOT diesel = 90 - 15 = 75
Other Vehicles that are NOT diesel Vehicles = 210-30 = 180
Required % = (180/300)*100 = 60%
Answer: option C
Question: The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?
A.2000
B.2098
C.2028
D.2218
Answer: A.2000
Explanation: Let C.P. be Rs. x.
Then, (1920 - x)/x * 100 = (x - 1280)/x * 100
1920 - x = x - 1280
2x = 3200 => x = 1600
Required S.P. = 125 % of Rs. 1600 = 125/100 * 1600 = Rs. 2000.Answer: A
Question: As a bicycle salesperson, David earns a fixed salary of $40 per week plus $6 per bicycle for the first 6 bicycles he sells, $12 per bicycle for the next 6 bicycles he sells, and $18 per bicycle for every bicycle sold after first 12. This week, he earned more than twice as much as he did last week. If he sold x bicycles last week and y bicycles this week, which of the following statements must be true? I. y<3x II. y>x III. y>3
A.I only
B.III only
C.II,III only
D.I,III only
Answer: C.II,III only
Explanation: II. y>x --> since this week, David earned more than he did last week and the total salary is in direct relationship with the # of bicycle sold, then y (# of bicycle sold this week) must be more than x (# of bicycle sold last week);
III. y>3 --> if David sold 3 bicycles this week then this week he earned 40+3*6=$58, which cannot be more than twice as much as he earned the last week, since the minimum salary is fixed to $40. So y must be more than 3;
I. y<3x --> is not always true.
Answer: C
Question: In a group of 100 people, 55 have visited Iceland and 43 have visited Norway. If 61 people have visited both Iceland and Norway, how many people have visited neither country?
A.60
B.61
C.62
D.63
Answer: D.63
Explanation: This is an example of a standard Overlapping Sets question. It has no 'twists' to it, so you'll likely find using the Overlapping Sets Formula to be a fairly easy approach. If you're not familiar with it, then here is the Formula:
100= 55 + 43 - 61 + (# in Neither Group)
=63
The prompt gives you all of the numbers you need to get to the correct answer. Just plug in and solve.
D
Question: In a race of 4Kms A beats B by 100m or 25 seconds, then time taken by A is
A.15 min 8 sec
B.16 min 15 sec.
C.8 min 15 sec.
D.10 min 17 sec.
Answer: B.16 min 15 sec.
Explanation: s=d/t
where t=d/s
therefore 4000*25/100=1000sec
convert 1000sec into min
we get 16min 15sec
ANSWER:B
Question: Pipes A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in?
A.3 9/87 hrs
B.3 9/27 hrs
C.3 9/17 hrs
D.3 2/17 hrs
Answer: C.3 9/17 hrs
Explanation: Net part filled in 1 hour = 1/5 + 1/6 - 1/12 = 17/60
The tank will be full in 60/17 hrs, i.e., 3 9/17 hrs.
Answer: C
Question: The ratio, by volume, of soap to alcohol to water in a certain solution is 6:30:90. The solution will be altered so that the ratio of soap to alcohol is doubled while the ratio of soap to water is halved. If the altered solution will contain 150 cubic centimeters of alcohol, how many cubic centimeters of water will it contain?
A.1200
B.1300
C.1500
D.1800
Answer: D.1800
Explanation: soap:alcohol
Initial ratio soap:alcohol: water --> 6:30:90
Initial soap:alcohol = 6/30 =6:30
after doubled soap:alcohol =2* 6/30 = 12/30=12:30
Initial soap:water = 6/90=6:90
after halved soap:water: 1/2 * 6/90 = 3/90 = 3:90= 12:360
After soap: alcohol:water --> 12:30:360
given alcohol 150 cubic centimeter.
ratio is 60:150:1800 (12:30:360)
For 150 cubic centimeter of Alcohol ---1800 cu cm water is required.
Answer-D
Question: Raman mixed 24 kg of butter at Rs. 150 per kg with 36 kg butter at the rate of Rs. 125 per kg. At what price per kg should he sell the mixture to make a profit of 40% in the transaction?
A.337
B.278
C.189
D.271
Answer: C.189
Explanation: CP per kg of mixture = [24(150) + 36(125)]/(24 + 36) = Rs. 135
SP = CP[(100 + profit%)/100]
= 135 * [(100 + 40)/100] = Rs. 189.
Answer:C
Question: The length of a rectangle is reduced by 20%. By what % would the width have to be increased to maintainthe original area?
A.15%
B.20%
C.25%
D.30%
Answer: C.25%
Explanation: Sol. Required change = (20*100)/(100-20)=25%
C
Question: In a camp, there is a meal for 120 men or 200 children. If 100 children have taken the meal, how many men will be catered to with remaining meal?
A.41
B.30
C.35
D.60
Answer: D.60
Explanation: D
60
There is a meal for 200 children.
100 children have taken the meal.
Remaining meal is to be catered to 100 children.
Now, 200 children 120 men.
100 children = (120/200)x 100 = 60 men.
Question: If Henry were to add 5 gallons of water to a tank that is already 3/4 full of water, the tank would be 7/8 full. How many gallons of water would the tank hold if it were full?
A.25
B.40
C.64
D.80
Answer: B.40
Explanation: 7/8x-3/4x=5 galls
1/8*x=5gallons
x=40 gallons
ANSWER:B
Question: During a recent track meet, Peter ran x meters of the 100 meter dash in 4 seconds; running at the same rate, how many seconds will it take Peter to run z meters of the 200 meter dash?
A.4zx
B.4z/x
C.4x/z
D.4/xz
Answer: B.4z/x
Explanation: Speed of Peter = x/4 meters per second
Time needed to run z meters = DISTANCE/SPEED = z / (x/4) = 4z/x
Option B
The values 100m and 200m have no role to play here and are just given to confuse you.
Question: A person want to give his money of $3600 to his 3 children A,B,C in the ratio 2:3:4. What is the B's share?
A.$2000
B.$1200
C.$2500
D.$1800
Answer: B.$1200
Explanation: B's share = 3600*3/9 = $1200
Answer is B
Question: On decreasing the price of a cooler by 25 %, its sale is increased by 50%. The effect on the revenue is?
A.4 % decrease
B.12.5 % increase
C.16% decrease
D.16% increase
Answer: B.12.5 % increase
Explanation: Net% change in revenue
= ( x + y + xy/100) %
= [-25 + 50+ ( -25 x 50)/100]% or 12.5%
ANSWER:B
Question: The average (arithmetic mean) of eight numbers is 47.1. If the sum of half of these numbers is 158.4, what is the average of the other half?
A.12.8
B.24.2
C.54.6
D.72.1
Answer: C.54.6
Explanation: arithmetic mean = sum / total numbers
sum = 47.1 * 8 = 376.8
sum of half of these numbers is 158.4. So, 4 numbers sum is 158.4. Rest 4 numbers sum = 376.8-158.4 = 218.4
Arithmetic mean of the 4 nos = 218.4/4 = 54.6
Hence, C is the answer.
Question: In how many different ways can the letters of the word 'DETAIL' be arranged such that the vowels must occupy only the odd positions?
A.None of these
B.64
C.120
D.36
Answer: D.36
Explanation: Explanation :
The word 'DETAIL' has 6 letters which has 3 vowels (EAI) and 3 consonants(DTL)
The 3 vowels(EAI) must occupy only the odd positions.
Let's mark the positions as (1) (2) (3) (4) (5) (6).
Now, the 3 vowels should only occupy the 3 positions marked as (1),(3) and (5) in any order.
Hence, number of ways to arrange these vowels = 3P3
= 3! = 3 x 2 x 1 = 6
Now we have 3 consonants(DTL) which can be arranged in the remaining 3 positions in any order
Hence, number of ways to arrange these consonants = 3P3
= 3! = 3 x 2 x 1 = 6
Total number of ways
= number of ways to arrange the vowels x number of ways to arrange the consonants
= 6 x 6 = 36. Answer : Option D
Question: 3 people meet for a business lunch. Each person shakes hands once with each other person present. How many handshakes take place?
A.10
B.15
C.3
D.9
Answer: C.3
Explanation: the formula to count handshakes is n(n−1)2n(n−1)2
Where n is the number of people
=> 3(3-1)/2 = 3*2/2 = 6/2 = 3
=> the answer is C(3)
Question: Out of a classroom of 7 boys and 4 girls, the teacher randomly chooses a president for the student board, a vice president, and a secretary. What is the probability that only girls will be selected for all three positions?
A.2/165
B.4/165
C.7/165
D.2/33
Answer: B.4/165
Explanation: The number of ways to choose three people is 11C3=165.
The number of ways to choose three girls is 4C3=4.
P(only girls are chosen)=4/165
The answer is B.
Question: Ram sold two bicycles, each for Rs.990. If he made 10% profit on the first and 10% loss on the second, what is the total cost of both bicycles?
A.2000
B.2978
C.2682
D.2688
Answer: A.2000
Explanation: (10*10)/100 = 1%loss
100 --- 99
? --- 1980 =>
Rs.2000
Answer:A
Question: . Star question:
If f(1)=4 and f(x+y)=f(x)+f(y)+7xy+4,then f(2)+f(5)=?
A.125
B.977
C.289
D.1077
Answer: A.125
Explanation: Let x =1 and y = 1
f(1 + 1) = f(1) + f(1) + 7 x 1 x 1 + 4 ⇒⇒ f(2) = 19
Let x =2 and y = 2
f(2 + 2) = 19 + 19 + 7 x 2 x 2 + 4 ⇒⇒ f(4) = 70
Let x = 1 and y = 4
f( 1 + 4) = 4 + 70 + 28 + 4 = 106
f(2) + f(5) = 125
Answer:A
Question: The perimeter of a square is 52 m. Find the area of the square.
A.132 m².
B.169 m².
C.146 m².
D.189 m².
Answer: B.169 m².
Explanation: Perimeter of square = 52 m
But perimeter of square = 4 × side
Therefore, 4 × side = 52 m
Therefore, side= 52/4 m = 13m
Now, the area of the square = (side × side)
Therefore, area of the square = 13 × 13 m² = 169 m².
ANSWER :B
Question: A part-time employee whose hourly wage was decreased by 20 percent decided to increase the number of hours worked per week so that the employee's total income did not change. By what percent should the number of hours worked be increased?
A.12.5%
B.20%
C.25%
D.50%
Answer: C.25%
Explanation: Assume
Hours Worked: 10 hours
Hourly Wage: 10 $
Weekly Wage: 100 $
After decrease of 20 % in Hourly Wage would become 8 $
Hours Worked would have to be 12.5 hours in order to maintain Weekly Wage of 100 $
% increase in number of hours worked = (12.5 - 10 ) / 10
= 0.25 * 100
= 25%
Answer is C
Question: If xy > 0, which of the following must be negative?
A.-x/-y
B.x/y
C.-x/y
D.2xy
Answer: C.-x/y
Explanation: - / + = -
Answer : C
Question: Of the goose eggs laid at a certain pond, 1/4 hatched and 4/5 of the geese that hatched from those eggs survived the first month. Of the geese that survived the first month, 3/5 did not survive the first year. If 120 geese survived the first year and if no more than one goose hatched from each egg, how many goose eggs were laid at the pond?
A.1200
B.1300
C.1400
D.1500
Answer: D.1500
Explanation: Let x be the number of eggs that were laid.
(2/5)(4/5)(1/4)x = 120
(8/100)x = 120
x = 1500
The answer is D.
Question: It takes 40 identical printing presses 12 hours to print 500,000 papers. How many hours would it take 30 of these printing presses to print 500,000 papers?
A.14
B.15
C.16
D.18
Answer: C.16
Explanation: 40 printing presses can do 1/12 of the job each hour.
30 printing presses can do 3/4*1/12 = 1/16 of the job each hour.
The answer is C.
Question: 10 % of 2 is equal to
A.0.2
B.0.4
C.0.6
D.0.7
Answer: A.0.2
Explanation: 10 % of 2 = (10 / 100) * 2 = 0.2
Answer: Option A
Question: 3 years ago, the average age of a family of 5 members was 17 years. A baby having been born, the average age of the family is the same today. The present age of the baby is
A.1 years
B.2 years
C.3 years
D.4 years
Answer: B.2 years
Explanation: Sol.
Total age of 5 members, 3 years ago = (17 x 5)years = 85 years.
Total age of 5 members now = (85 + 3 x 5)years = 100 years.
Total age of 6 members now = (17 x 6)years = 102 years.
∴ Age of the baby = (102 - 100)years = 2 years
Answer B
Question: If a quarter kg of onions costs 50 paise, how many paise will 100 gm cost?
A.20 paise
B.65 paise
C.56 paise
D.87 paise
Answer: A.20 paise
Explanation: Explanation:
Let the required cost be x paise.
Less weight, Less cost (Direct proportion)
250 : 100 : : 50 : x
250 * x = (100 * 50)
x = (100 * 50) / 250
x = 20
ANSWER: A
Question: A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office. In how many ways can the company assign 5 employees to 2 different offices?
A.30
B.32
C.31
D.33
Answer: B.32
Explanation: Each of three employee can be assigned to either of offices, meaning that each has 2 choices --> 2*2*2*2*2=2^5=32.
Answer: B.