RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ?
A.160
B.175
C.180
D.195
Answer: B.175
Explanation: Explanation:
Suppose the man works overtime for x hours.
Now, working hours in 4 weeks = (5 x 8 x 4) = 160.
=160 x 2.40 + x x 3.20 = 432
=> 3.20x = 432 - 384 = 48
=> x = 15.
Hence, total hours of work = (160 + 15) = 175.
Answer: B
Question: How many litres of pure acid are there in 8 litres of a 20% solution?
A.2 litres
B.1.4 litres
C.1 litres
D.1.6 litres
Answer: D.1.6 litres
Explanation: Explanation :
Quantity of pure acid = 8 × (20/100) = 1.6
Answer : Option D
Question: The radius of a cylinder is 8 m, height 14 m. The volume of the cylinder is:
A.2816
B.5500
C.3300
D.1100
Answer: A.2816
Explanation: Cylinder volume = Ï€r(power2)h
= 22/7 Ã— 8 Ã— 8 Ã— 14
= 2816 m(power3)
Answer is A.
Question: The ratio of the number of ladies to gents at a party was 1:2 but when 2 ladies and 2 gents left, the ratio became 1:3. How many people were at the party originally?
A.11
B.77
C.12
D.99
Answer: C.12
Explanation: x, 2x
(x-2):(2x-2) = 1:3
3x-6 = 2x-2
x = 4
x+2x = 3x
=> 3*4 = 12
Answer: C
Question: If n is an integer and n^4 is divisible by 20, which of the following could be the remainder when n is divided by 20?
A.5
B.10
C.12
D.16
Answer: B.10
Explanation: option 1
Remainder 5 means 20+5=25
n^4= 25^4= 25*25*25*25/20 is not an integer
option 2
Remainder 10 means 20+10=30
n^4= 30*30*30*30/20 is an integer means n^4 is divisible by 20 if we take n=10
so B is correct
Question: A race course is 400 m long. A and B run a race and A wins by 5m. B and C run over the same course and B win by 4m. C and D run over it and D wins by 16m. If A and D run over it, then who would win and by how much?
A.D by 7.2 m
B.A by 7.2 m
C.A by 8.4 m
D.D by 8.4 m
Answer: A.D by 7.2 m
Explanation: Explanation :
If A covers 400m, B covers 395 mIf B covers 400m, C covers 396 mIf D covers 400m, C covers 384 mNow if B covers 395 m, then C will cover(396/400)×395=391.05 mIf C covers 391.05 m, then D will cover(400/384)×391.05=407.24If A and D run over 400 m, then D win by 7.2 m (approx.)
Answer : A
Question: I have a few sweets to be distributed. If I keep 2, 3 or 4 in a pack, I am left with one sweet. If I keep 5 in a pack, I am left with none. What is the minimum number of sweets I have to pack and distribute ?
A.25
B.37
C.54
D.65
Answer: A.25
Explanation: when divided 2,3,4 leaves remainder 1 and leaves remainder 0 while dividing 5
ANSWER:A
Question: If A : B= 2 : 4 and B : C = 6 : 8, then A : B : C is:
A.11:2:3
B.22:44:66
C.12:24:32
D.6:9:12
Answer: C.12:24:32
Explanation: A:B=2:4, B:C=6:8, A:B:C=2Ã—6:6Ã—4:4Ã—8
â‡’ 12:24:32
Answer: C.
Question: Gauri went to the stationers and bought things worth Rs. 25, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%. then what was the cost of the tax free items?
A.Rs.15
B.Rs.15.70
C.Rs.19.70
D.Rs.20
Answer: C.Rs.19.70
Explanation: Solution
Let the amount of taxable purchases be Rs.x.
Then, 6% of x	= 30/100
x ‹=› (30/100×100/6)
= 5.
Cost of tax free items	= Rs.[25 - (5 + 0.30)]
= Rs. 19.70
Answer C
Question: If 75 percent of a class answered the first question on a certain test correctly, 45 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly, what percent answered both correctly?
A. 40%
B.(8) 20%
C. 30%
D. 50%
Answer: A. 40%
Explanation: {Total} = {First} + {Second} - {Both} + {Neither}
100% = 75% + 45% - {Both} + 20% --> {Both} = 40%.
Answer: A
Question: There has been successive increases of 25% and then 15% in the price of gas from the previous month. By what percentage should a driver reduce gas consumption so that the expenditure does not change?
A.30%
B.50%
C.66.66%
D.15%
Answer: A.30%
Explanation: Let P be the original price per unit of gas.
Let x be the original gas consumption.
Let y be the reduced gas consumption.
y*1.15*1.25*P = x*P
y = x / (1.15*1.25) which is about 0.7x which is a decrease of about 30%.
The answer is A.
Question: A batch of cookies was divided amomg 3 tins: 2/3 of all the cookies were placed in either the blue or the green tin, and the rest were placed in the red tin. If 1/5 of all the cookies were placed in the blue tin, what fraction of the cookies that were placed in the other tins were placed in the green tin
A.21/31
B.9/4
C.5/9
D.7/5
Answer: A.21/31
Explanation: This will help reduce the number of variables you have to deal with:
G + B = 2/3
R = 1/3
B = 1/5
We can solve for G which is 7/10
What fraction (let it equal X) of the cookies that were placed in the other tins were placed in the green tin?
So..
X*(G+R)=G
X*(7/10 + 1/3) = 7/10
X = 21/31
ANSWER: A
Question: The sum of the ages of a father and son is 45 years. Five years ago, the product of their ages was four times the fathers age at that time. The present age of father and son
A.34,11
B.35,10
C.36,9
D.40,5
Answer: C.36,9
Explanation: Explanation:
Let sons age = x years. Then fathers age = (45 - x)years.
(x—5)(45—x—5) = 4(45- x - 5) hence (x—5) = 4 so x = 9
Their ages are 36 years and 9 years.
Option C
Question: Find 96 ×× 98
A.92/8
B.92/12
C.92/13
D.92/10
Answer: A.92/8
Explanation: Here both numbers are less than 100. So they are deficient of - 4 and - 2 compared with 100. So
Answer:	A
Question: a man owns 1/3 of market reserch beauro buzness,and sells 3/5 of his shares for 15000rs,what is the value of buzness?
A.55000
B.75000
C.65000
D.190000
Answer: B.75000
Explanation: If value of business=x
Total sell (2x/3)(3/4)=15000
->x=75000
ANSWER:B
Question: (x to power 1/3) - (x to power 1/9)=60
We have to find out the value of x ??
A.4^9
B.4^8
C.4^7
D.4^6
Answer: A.4^9
Explanation: let x^(1/9) =y
y^3-y =60
y(y^2-1) = 60
y=4
x^(1/9)= 4
x = 4^9
ANSWER:A
Question: A company recently conducted a survey and found that 20,000 of its customers live in rural areas. If the number of customers who live in urban areas is 100 percent greater than the number of customers who live in rural areas, how many customers live in urban areas?
A.40,000
B.45,000
C.50,000
D.55,000
Answer: A.40,000
Explanation: The number of customers in urban areas is 20,000+1*20,000=40,000.
The answer is A.
Question: The vertex of a rectangle are (1, 0), (5, 0), (1, 1) and (5, 1) respectively. If line L passes through the origin and divided the rectangle into two identical quadrilaterals, what is the slope of line L?
A.1/2
B.2
C.1/6
D.3
Answer: C.1/6
Explanation: If line L divides the rectangle into two identical quadrilaterals, then it must pass through the center (3, 0.5). The slope of a line passing through (0,0) and (3, 0.5) is 0.5/3 = 1/6.
The answer is C.
Question: If a and b are different values and a – b = 2(√a - √b), then in terms of b, a equals:
A.√b
B.b
C.b - 4√b + 4
D.b + 2√b + 1
Answer: C.b - 4√b + 4
Explanation: (√a)^2 - (√b)^2 = 2(√a - √b) -----> ( √a + √b) ( √a - √b) = 2(√a - √b ) -------> √a + √b = 2, so
√a = 2 - √b, square both sides and solve. Answer is C.
Question: Out of the three numbers A, B and C, A exceeds B by 20 and C exceeds A by 55. If the sum of all the numbers is 230, What is the difference between the largest and the smallest number?
A.87
B.65
C.75
D.19
Answer: C.75
Explanation: Explanation:
We have , A = B + 20 & C = A + 55 = B + 75
Thus, (B + 20) + (B) + (B + 75) = 230
B = 45
Thus, A = 65 & C = 120. Hence, (C) – (B) = 120 – 45 = 75
Short-Cut Method : Since C is larger than A by 55 and A is larger than B by 20, we get, the Required difference = 55 + 20 = 75 (without calculating the actual values of A, B and C).
ANSWER:C
Question: In a board game, a stack of 44 cards, 6 of which have pictures of fruit, are shuffled and then placed face down. If the first 2 cards selected do not have pictures of fruit, what is the probability that the third card selected will have a picture of fruit?
A.3/22
B.1/11
C.1/9
D.1/7
Answer: D.1/7
Explanation: After 2 cards have been selected, there are 42 cards remaining.
P(third card has a picture of fruit) = 6/42 = 1/7
The answer is D.
Question: The speed of a car increases by 2kms after every one hour. If the distance travelled in the first one hour was 35kms, what was the total distance travelled in 12 hours?
A.456kms
B.482kms
C.552kms
D.556kms
Answer: C.552kms
Explanation: Total distance travelled in 12 hours = (35+37+39+...upto 12 terms).
This is an A.P. with first term, a=35, number of terms, n=12, common difference d=2
Required distance = 12/2(2*35+(12-1)*2)=6(70+22)=552km.
Correct Option: C
Question: In an examination, 300 students appeared. Out of these students; 25 % got first division, 54 % got second division and the remaining just passed. Assuming that no student failed; find the number of students who just passed.
A.63
B.37
C.54
D.99
Answer: A.63
Explanation: The number of students with first division = 25 % of 300 = 25/100 × 300 = 8400/100 = 75
And, the number of students with second division = 54 % of 300
= 54/100 × 300
=16200/100
= 162
Therefore, the number of students who just passed = 300 – (75 + 162) = 63
Answer:A
Question: The arithmetic mean of the set S = {7, K, 6, 12, M, 7} is 8. If K and M are integers, and K ≠ M, what is the median of the numbers in the set?
A.6
B.6.5
C.7
D.7.5
Answer: C.7
Explanation: The sum of the numbers is 6*8 = 48
K+M = 48 - 12 - 7 - 7 - 6 = 16
Since K ≠ M, K and M do not equal 8.
Thus one of the two numbers is 7 or less and one is 9 or more.
Then middle two numbers in the set are 7 and 7.
The median is 7.
The answer is C.
Question: Consider a set S given as {11,22,33,44,55,66,77,88,99} . If each element of the data set is multiplied by -4 then by what factors will the Mean,Variance and Standard Deviation respectively change ?
A.-4,-4,-4
B.-4,4,4
C.1,1,1
D.-4,16,4
Answer: D.-4,16,4
Explanation: Mean: If all values are multiplied by -4 then their sum will also be multiplied by -4 so Mean will also get -4
Variance:
Variance is equal to (Sum of (Square of (the difference between mean and individual values))/Total number of values
When we multiply all the values by -4 then the difference between the mean and the individual values also gets multiplied by -4 and the square of that difference becomes 16. So, the variance gets multiplied by a factor of 16
SD:
Standard Deviation is the square root of variance so sqrt(16)=4. So SD gets multiplied by a factor of 4.
So, answer will be D.
Question: If two-third of a bucket is filled in 90 seconds then the time taken to fill the bucket completely will be .
A.90 seconds
B.70 seconds
C.135 seconds
D.100 seconds
Answer: C.135 seconds
Explanation: 2/3 filled in 90 seconds
1/3 filled in 45 seconds
then 2/3+1/3=90 + 45 seconds = 135 seconds
ANSWER: C
Question: Stalin and Heather are 20 miles apart and walk towards each other along the same route. Stalin walks at constant rate that is 1 mile per hour faster than heather's constant rate of 5 miles/hour. If Heather starts her journey 20 minutes after Stalin, how far from the original destination has Heather walked when the two meet?
A.4 miles
B.6 miles
C.9 miles
D.10 miles
Answer: A.4 miles
Explanation: Original distance between S and H = 20 miles.
Speed of S = 5+1 = 6 mph, Speed of H = 5 mph.
Time traveled by H = t hours ---> time traveled by S = t+20/60 = t+2/6 hours.
Now, the total distances traveled by S and H = 20 miles ---> 6*(t+2/6)+5*t=20 ---> t= 8/11 hours. Thus H has traveled for 8/11 hours giving you a total distance for H = 5*8/11 ~ 4 miles.
A is thus the correct answer.
P.S.: based on the wording of the question, you should calculatehow far from theoriginal destination has Heather walkedwhen the two meet. 'Original destination' for H does not make any sense. Original destination for H was situated at a distance of 20 miles.
Question: A person travels equal distances with speeds of 3 km/hr, 4 km/hr and 5 km/hr and takes a total time of 47 minutes. The total distance is?
A.6 km
B.3 km
C.9 km
D.5 km
Answer: B.3 km
Explanation: Let the total distance be 3x km.
Then, x/3 + x/4 + x/5 = 47/60
47x/60 = 47/60 => x = 1.
Total distance = 3 * 1 = 3 km.
Answer: B
Question: A trader marked the price of a car 20% above the cost price and allowed the purchaser 5% discount on the marked price there by gained Rs.8400. Find the cost price of the car?
A.16 m
B.77 m
C.44 m
D.28 m
Answer: D.28 m
Explanation: n:
Speed Ratio = 1:7/6 = 6:7
Time Ratio = 7:6
1 -------- 7
4 --------- ? è 28 m
Answer:D
Question: Find the simple interest on Rs. 72,000 at 16 2/3% per year for 9 months.
A.7500
B.6500
C.9000
D.9500
Answer: C.9000
Explanation: P = Rs.72000,R = 50/3% p.a and T = 9/12 years = 3/4years.
Simple Interest = (P*R*T)/100 = Rs.(72,000*(50/3)*(3/4)*(1/100))= Rs.9000
Answer is C.
Question: Tim went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
A.17.13
B.18
C.19.7
D.21.3
Answer: C.19.7
Explanation: Total cost of the items he purchased = Rs.25
Given that out of this Rs.25, 30 Paise is given as tax
=> Total tax incurred = 30 Paise = Rs.30/100
Let the cost of the tax free items = x
Given that tax rate = 6%
∴ (25−30/100−x)6/100 = 30/100
⇒ 6(25 −0.3 −x) = 30
⇒ (25 − 0.3 − x) = 5
⇒ x = 25 − 0.3 − 5 = 19.7
C)
Question: A squirrel can climb 5 metres of a pole in one minute but slips 2 metres in the next minute. How much time will the squirrel take to climb 26 metres?
A.14 minutes
B.12 minutes
C.15 minutes
D.18 minutes
Answer: C.15 minutes
Explanation: Explanation:
As the squirrel climbs 5 m in one minute and slips 2 metres in the next minute, it climbs 3 metres in 2 minute
To climb 26 metres, the time required is:
The squirrel will climb (26 – 5) = 21 metres = 7 * 3 metres in 7 * 2 = 14 minutes
Also, the last 5 metres it climbs in another 1 minute
Hence, total time required = 14 + 1 = 15 minutes
ANSWER C
Question: A certain league has two divisions. The respective divisions had 11 and 13 teams qualify for the playoffs. Each division held its own double-elimination tournament -- where a team is eliminated from the tournament upon losing two games -- in order to determine its champion. The four division champions then played in a single-elimination tournament -- where a team is eliminated upon losing one game -- in order to determine the overall league champion. Assuming that there were no ties and no forfeits, what is the maximum number of games that could have been played in order to determine the overall league champion?
A. 41
B. 42
C. 45
D. 47
Answer: D. 47
Explanation: Overall, there can be 47 minuses. Tus, it is D.
Question: A rectangular swimming pool is 20 feet by 22 feet. A deck that has uniform width surrounds the pool. The total area of the pool and deck is 728 square feet. What is the width of the deck?
A.2
B.4
C.3
D.5
Answer: C.3
Explanation: Let the width =W
Total Area of the pool and deck= (2W+20)(2W+22)
We can Test the answer choices along with unit digit method
A) 2 feet ...........24*26 has unit digit 8..........Eliminate
B) 2.5 feet.........25*33 has unit digit 5..........Eliminate
C) 3 feet............26*28 has unit digit 4...........Hold
D) 4 feet............28*30 has unit digit 0...........Eliminate
E) 5 feet............30*32 has unit digit 0...........Eliminate
Answer: C w=3
Question: The value of a machine depreciates at 21% per annum. If its present value is $1,50,000, at what price should it be sold after two years such that a profit of $24,000 is made?
A.$257615
B.$437615
C.$127615
D.$117615
Answer: D.$117615
Explanation: The value of the machine after two years = 0.79 * 0.79 * 1,50,000 = $96,000
SP such that a profit of $24,000 is made = 93,615 + 24,000 = $1,17,615
D
Question: Find the principle on a certain sum of money at 5% per annum for 2 2/5 years if the amount being Rs.1568?
A.1000
B.2777
C.2889
D.1400
Answer: D.1400
Explanation: 1568 = P [1 + (5*12/5)/100]
P= 1400.Answer:D
Question: For any positive integer n, the sum of the first n positive integers equals n(n+1)/2. What is the sum y of all the even integers between 99 and 301?
A.10,100
B.20,200
C.22,650
D.40,200
Answer: B.20,200
Explanation: I would solve it in a different way.
First of all, total number of even integers between 99 and 301 are, (301-99)/2 = 202/2=101
Average = (301+99)/2 = 400/2 = 200
Sum y= Average*total count = 200*101 = 20,200
Answer is B
Question: John went to the Hospital at the speed of 60 km per hour while returning for his home he covered the half of the distance at the speed of 10 per hour, but suddenly he realized that he was getting late so he increased the speed and reached the home by covering rest 1/2 of the distance at the speed of 30km per hour. The average speed of the John in the whole length of journey is?
A.20 km/hr
B.22 km/hr
C.24 km/hr
D.26 km/hr
Answer: C.24 km/hr
Explanation: Let distance between his home and hospital =
d
d km
Total distance travelled
=
d
+
d
=
2
d
=d+d=2d km
Total time taken
=
d
60
+
(
d
2
)
10
+
(
d
2
)
30
=d60+(d2)10+(d2)30
=
d
60
+
d
20
+
d
60
=
5
d
60
=
d
12
=d60+d20+d60=5d60=d12 hr
Average speed in the whole journey
=
2
d
(
d
12
)
=
2
d
×
12
d
=
24
=2d(d12)=2d×12d=24 km/hr
C
Question: If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 2 years the amount to be paid is?
A.22887
B.2778
C.2797
D.8112
Answer: D.8112
Explanation: Explanation:
A = 7500(26/25)2 = 8112
Answer:D
Question: Martha has the unique talent of being able to guess other people’s height and weight. For every four people that Martha meets, she consistently guesses the people’s correct height three times, and for every six people that she meets, she consistently guesses the people’s correct weight four times. If Martha meets three people and her success rate remains constant, what is the probability that Martha correctly guesses a person’s weight and height at least once?
A.8/27
B.7/8
C.49/81
D.98/125
Answer: B.7/8
Explanation: Probability that she guesses the height correctly P(h)=3/4
Probability that she guesses the weight correctlyP(w)=4/6
Probability that she guesses both weight and height correctly(P(h)*P(w))=3/4 * 4/6= 12/24
Now the Q asks about the probability of this happening atleast once.
We calculate it by finding the probability of not being able to guess in any of the three occasions.
Probability of not being able to guess any no. of times =1-12/24=12/24=1/2
For all three occasions P(A)=1/2 * 1/2 * 1/2=1/8
Probability of the event happening atleast once=1- P(A)=1-1/8=7/8
Ans should be B
Question: Express a speed of 46 kmph in meters per second?
A.10.78 mps
B.12.78 mps
C.97.78 mps
D.17.78 mps
Answer: B.12.78 mps
Explanation: 46 * 5/18
= 12.78 mps
Answer: B
Question: From a pack of 52 cards, 1 card is drawn at random. Find the probability of a face card drawn.
A.4/13
B.1/52
C.1/4
D.1/3
Answer: A.4/13
Explanation: Explanation:
Total number of cases = 52
Total face cards = 16 [favourable cases]
So probability = 16/52 = 4/13
Option A
Question: If f(f(n)) + f(n) = 2n+3, f(0) = 1 then f(2014) = ?
A.2015
B.2088
C.270
D.1881
Answer: A.2015
Explanation: f (f(0)) + f(0) = 2(0) + 3 ⇒⇒ f(1) = 3-1 = 2, f(1) = 2
f(f(1)) + f(1) = 2(1) + 3 ⇒⇒ f(2) = 5-2 = 3, f(2) = 3
f(f(2)) + f(2) = 2(2) + 3 ⇒⇒ f(3) = 7-3 = 4, f(3) = 4
..............
f(2014) = 2015
Ans: A
Question: With # andeach representing different digits in the problem below, the difference between #and ## is 712. What is the value of?
#
-##
____
712
A.7
B.8
C.9
D.10
Answer: B.8
Explanation: 100x
-(10x +x)
-----------
89 x= 712
x = 8
B
Question: A man walking at a rate of 10km/hr crosses a bridge in 15 minutes. The length of the bridge is?
A.1521
B.1492
C.1667
D.2500
Answer: D.2500
Explanation: Speed = 10*5/18 = 50/18 m/sec
Distance covered in 15 minutes = 50/18 *15 *60 = 2500 m
Answer is D
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.500
B.289
C.350
D.882
Answer: A.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: A
Question: A doctor prescribed 18 cubic centimeters of a certain drug to a patient whose body weight was 135 pounds. If the typical dosage is 2 cubic centimeters per 15 pounds of the body weight, by what percent was the prescribed dosage greater than the typical dosage?
A.8%
B.9%
C.11%
D.12.5%
Answer: C.11%
Explanation: Typical dosage is Dose : weight :: 2: 15.
Now if weight is 135 (Multiplying factor is 9: (135/15)) then typical dosage would be 2 *9 = 18cc.
Dosage = 18 cc. Dosage is greater by 2 cc.
% dosage is greater: (2 / 18)*100 = 11.11 %
C is the answer.
Question: If x is an integer such that 3 < x < 10, 5 < x < 18, 9 > x > –2, 8 > x > 0, and x + 1 < 9, then x is
A.3
B.5
C.7
D.9
Answer: C.7
Explanation: 3 < x < 10,
6 < x < 18,
-2 < x <9
0 < x < 8
x<8
From above: 6< x < 8 --> x = 7.
Answer: C.
Question: In an election between two candidates, the winner has a margin of 20% of the votes polled. If 1000 people change their mind and vote for the loser, the loser would have won by a margin of 20% of the votes polled. Find the total number of votes polled in the election?
A.10000
B.5000
C.15000
D.20000
Answer: B.5000
Explanation: Winner - Looser
60% - 40%
If 1000 people change their mind and vote for the loser:
Winner - Looser
40% - 60%
Thus 1,000 people compose 20% of all voters, which means that the total number of votes is 5,000.
Answer: B
Question: Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm.
A.287 cm2
B.785 cm2
C.285 cm2
D.785 cm2
Answer: C.285 cm2
Explanation: Explanation:
Area of a trapezium = 1/2 (sum of parallel sides) * (perpendicular distance between them) = 1/2 (20 + 18) * (15) = 285 cm2
Answer: Option C
Question: A summer camp has 150 children coming for the summer. Out of them, 60% have applied for the water sports programme and 80% have applied for rock climbing. How many campers have applied for both?
A.50
B.60
C.70
D.80
Answer: B.60
Explanation: The total number of campers coming for the summer is n = 150.
The number of campers who have applied for the water sports activities is 60% of it, thus
n (A)=60/100×150=6×15=90
The number of campers who have applied for rock climbing is 80%, thus
n (B)=80/100×150=8×15=120.
In order to calculate the number of campers who have applied for both programs we can use the following equation:
n (AnB)=n (A)+n (B) -n =90+120-150=50=60.
So, 60 campers have applied for both water sports and rock climbing.
ANSWER: B
Question: Three workers have a productivity ratio of 3 to 5 to 6. All three workers are working on a job for 4 hours. At the beginning of the 5th hour, the slowest worker takes a break. The slowest worker comes back to work at the beginning of the 8th hour and begins working again. The job is done in ten hours. What was the ratio of the work performed by the fastest worker as compared to the slowest?
A.12 to 1
B.6 to 1
C.5 to 1
D.20 to 7
Answer: D.20 to 7
Explanation: The fastest worker who does 6 units of job worked for all 10 hours, so he did 6*10=60 units of job;
The slowest worker who does 3 unit of job worked for only 4+3=7 hours (first 4 hours and last 3 hours), so he did 3*7=21
The ratio thus is 60 to 21, or 20 to 7.
Answer: D.
Question: Convert the 9/36 m/s into kilometers per hour?
A.0.9 kmph
B.9.9 kmph
C.1.3 kmph
D.1.2 kmph
Answer: A.0.9 kmph
Explanation: 9/36 m/s = 9/36 * 18/5 = 9/10
= 0.9 kmph.
Answer: A
Question: The speed of a boat in upstream is 60 kmph and the speed of the boat downstream is 110 kmph. Find the speed of the boat in still water and the speed of the stream?
A.10
B.25
C.77
D.55
Answer: B.25
Explanation: Speed of the boat in still water = (60+110)/2 = 85 kmph. Speed of the stream
= (110-60)/2
= 25 kmph.
Answer: B