RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: . By selling 12 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?
A.8
B.7
C.5
D.3
Answer: A.8
Explanation: Explanation:
80% --- 12
120% --- ?
80/120 * 12 = 8
Answer:A
Question: What is the next number of the following sequence
12, 6, 24, 12, 48, 24, (...)
A.66
B.72
C.84
D.96
Answer: D.96
Explanation: The series is
12/2=6
6*4=24
24/2=12
12*4=48
48/2=24
24*4=96
ANSWER: D
Question: Positive integer y is 50 percent of 50 percent of positive integer x, and y percent of x equals 16. What is the value of x?
A.20
B.40
C.80
D.160
Answer: C.80
Explanation: y = 0.5*0.5*x = x/4
y%*x = 16
(y/100)*x = 16
(x/400)*x = 16
x^2 = 16*400
x = 80
The answer is C.
Question: Insert the missing number
10, -20, 40, -80, 160, (....)
A.320
B.-420
C.420
D.-320
Answer: D.-320
Explanation: 10*-2=-20
-20*-2=40
40*-2=-80
-80*-2=160
160*-2=-320
ANSWER:D
Question: On average, activated yeast cells divide once every 120 minutes; that is, each individual cell divides into two individual cells over that time span. Given that a certain yeast colony consisted of 110,000 cells two hours ago, approximately how many cells will be populating the colony six hours from now?
A.77,500
B.1,760,000
C.2,480,000
D.3,720,000
Answer: B.1,760,000
Explanation: 110,000 × 2 × 2×2×2 = 110,000 × 16 = B
Question: There are 3 identical pens and 5 identical books. In how many ways can a person select at least one object from this set?
A.23
B.25
C.31
D.15
Answer: A.23
Explanation: total ways = 6*4=24..
But we are looking for ATLEAST 1, so subtract 1 way when both are 0..
ans 24-1=23..
Answer is A
Question: Maxwell leaves his home and walks toward Brad's house at the same time that Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 36 kilometers, Maxwell's walking speed is 2 km/h, and Brad's running speed is 4 km/h. What is the distance traveled by Maxwell when they meet in the middle?
A.10
B.11
C.12
D.13
Answer: C.12
Explanation: Consider Max starts from Point A and Brad Starts from Point B and move towards each other.
Assume they shall meet at point O after Time 'T'. The question asks us to find OA.
From the question stem we can make out :- Distance OA = 50km - Distance OB
=> 2xT = 36 - 4xT (i.e distance =Speed x Time)
=> 6T = 36
Hence T = 6
OA = 2 x 6 = 12 Km
Answer : C
Question: The output of a factory was increased by 5% to keep up with rising demand. To handle the holiday rush, this new output was increased by 20%. By approximately what percent would the output now have to be decreased in order to restore the original output?
A.20%
B.24%
C.30%
D.32%
Answer: A.20%
Explanation: The original output increases by 5% and then 20%.
Total % change = a + b + ab/100
Total % change = 5 + 20 + 5*20/100 = 26%
Now, you want to change it to 0, so,
0 = 26 + x + 26x/100
x = -26(100)/126 = 20% approximately
Answer is A
Question: Three grades of milk are 1 percent, 2.7 percent and 3 percent fat by volume. If x gallons of the 1 percent grade, y gallons of the 2.7 percent grade, and z gallons of the 3 percent grade are mixed to give x+y+z gallons of a 2.5 percent grade, what is x in terms of y and z?
A.y + 3z
B.(y +z) / 4
C.2y + 5z
D.3y + z
Answer: C.2y + 5z
Explanation: Based on the given information, the following equation could be dervied: 1% * x + 2.7% * y + 3% * z = 2.5% * (x+y+z) [equation*].
Then use algebra to figure out 1.5%*x = 0.2%*y + 0.5%*z. Thus, 15x = 2y + 5z.
C
Question: A mixture of 150 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture?
A.87 liters
B.17 liters
C.10 liters
D.17 liters
Answer: C.10 liters
Explanation: Number of liters of water in150 liters of the mixture = 20% of 150 = 20/100 * 150 = 30 liters.
P liters of water added to the mixture to make water 25% of the new mixture.
Total amount of water becomes (30 + P) and total volume of mixture is (150 + P).
(30 + P) = 25/100 * (150 + P)
120 + 4P = 150 + P => P = 10 liters.
Answer: C
Question: The diagonal of a square is 4 ?2 cm. What will be the diameter of another square if their area is double that of the first square?
A.8cm
B.9cm
C.10cm
D.11cm
Answer: A.8cm
Explanation: d1=4 ? 2 => area = 1/2d12=1/2 * (4 ? 2)2 = 16cm2
Area of new square = (2*16)cm2 = 32 cm2
Therefore 1/2*d22=32 =>d22=64 => d2=8cm
Answer A
Question: A magician has five animals in his magic hat: 3 doves and 2 rabbits. If he pulls two animals out of the hat at random, what is the chance Q that he will have a matched pair?
A.Q=2/5
B.Q=3/5
C.Q=1/5
D.1/2
Answer: A.Q=2/5
Explanation: P(both doves) + P(both rabbits) = p(matched pair)
(3/5)*(2/4) + (2/5)*(1/4) = 2/5
Hi How did you get the probability 2/4 and 1/4???
You have 3 doves and 2 rabbits i.e. a total of 5 animals.
The probability that you pick a dove on your first pick is 3/5 (since there are 3 doves)
The probability that you pick a dove on your second pick too is 2/4 (because now only 2 doves are left after we picked a dove in the first pick. ALso only 4 animals are left to choose from)
Similarly,
The probability that you pick a rabbit on your first pick is 2/5 (since there are 2 rabbits)
The probability that you pick a rabbit on your second pick too is 1/4 (because now only 1 rabbit is left after we picked a rabbit in the first pick. Also only 4 animals are left to choose from)
Probability of picking a matched pair = 3/5 * 2/4 + 2/5 * 1/4 = 2/5
Question: Ramu rides his bike at an average speed of 45 km/hr and reaches his desitination in four hours. Somu covers the same distance in six hours. If Ramu covered his journey at an average speed which was 9 km/hr less and Somu covered his journey at an average speed which was 10 km/hr more, then the difference in their times taken to reach the destination would be (in minutes).
A.33
B.30
C.77
D.66
Answer: B.30
Explanation: Distance travelled by Ramu = 45 * 4 = 180 km
Somu travelled the same distance in 6 hours.
His speed = 180/6 = 30 km/hr
Hence in the conditional case, Ramu's speed = 45 - 9 = 36 km/hr and Somu's speed = 30 + 10 = 40km/hr.
Therefore travel time of Ramu and Somu would be 5 hours and 4.5 hours respectively. Hence difference in the time taken = 0.5 hours = 30 minutes.
Answer: B
Question: Richard,Kenn, Jerk, Dave and Paster line up at a ticket window. In how many ways can they arrange themselves so that Dave is first in line from the window?
A.a 20
B.b 12
C.c 9
D.d 24
Answer: D.d 24
Explanation: D
Dave's position is fixed. Now we need to arrange all others around Dave.
There are 4x3x2x1= 24 ways to arrange four people.
Question: The average expenditure of a labourer for 6 months was 80 and he fell into debt. In the next 4 months by reducing his monthly expenses to 60 he not only cleared off his debt but also saved 30. His monthly income i
A.70
B.72
C.75
D.78
Answer: C.75
Explanation: Income of 6 months = (6 × 80) – debt
= 480 – debt
Income of the man for next 4 months
= 4 × 60 + debt + 30
= 270 + debt
∴ Income of 10 months = 750
Average monthly income = 750 ÷ 10 = 75
Answer C
Question: Last year, for every 100 million vehicles that travelled on a certain highway, 98 vehicles were involved in accidents. If 3 billion vehicles travelled on the highway last year, how many of those vehicles were involved in accidents? (1 billion = 1,000,000,000)
A.288
B.320
C.2,940
D.3,200
Answer: C.2,940
Explanation: To solve we will set up a proportion. We know that “100 million vehicles is to 98 accidents as 3 billion vehicles is to x accidents”. To express everything in terms of “millions”, we can use 3,000 million rather than 3 billion. Creating a proportion we have:
100/98 = 3,000/x
Cross multiplying gives us:
100x = 3,000 * 98
x = 30 * 98 = 2,940
Correct answer is C.
Question: find the next number in the sequence
12, 20, 40, 72, 116, 172 ?
A.500
B.250
C.240
D.350
Answer: C.240
Explanation: C
240
40 { diff 20 + 12 =>32 add to it}
72 { diff 32 + 12 =>44 add to it}
116 { diff 44 + 12 =>56 add to it}
172 { diff 56 + 12 =>68 add to it}
240
Question: In how many different ways can 4 ladies and 4 gentlemen be seated at a round table so that all ladies sit together?
A.70
B.288
C.576
D.10,080
Answer: C.576
Explanation: Glue the ladies together so that they create one unit, so we would have 5 units: {M1}, {M2}, {M3}, {M4}, and {W1,W2,W3,W4} --> # of different arrangements of nn objects around the table (circular arrangements) is (n−1)!(n−1)!, so our 5 objects can be arranged in (5−1)!=4!(5−1)!=4! ways.
On the other hand 4 women within their unit also can be arranged in 4! ways --> total 4!∗4!=5764!∗4!=576.
Answer: C.
Question: On dividing 100 by a number, the quotient is 9 and the remainder is 1. Find the divisor?
A.10
B.11
C.12
D.13
Answer: B.11
Explanation: d = (D-R)/Q
= (100 - 1)/9
= 99/9 = 11
B)
Question: A, B and C rent a pasture. If A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing and the rent of the pasture is Rs. 175, then how much amount should C pay as his share of rent?
A.40
B.45
C.49
D.51
Answer: B.45
Explanation: A : B : C
=10×7:12×5:15×3
=2×7:12×1:3×3
=14:12:9
Amount that C should pay
=175×(9/35)=5×9=45
Answer is B.
Question: The cricket team of 11members is 26yrs old & the wicket keeper is 3 yrs older. If the ages ofthese 2are excluded, the average age of theremaining players is 1 year less than the average age of the whole team. What is the average age of the team ?
A.21
B.22
C.23
D.25
Answer: C.23
Explanation: Let the average age of the whole team be x years.
11x - (26 + 29) = 9 (x - 1)
=> 11x - 9x = 46
=> 2x = 46
=> x = 23.
So, average age of the team is 23 years.
C
Question: A man purchased a carriage and horse in Rs. 1500. By selling the horse at 10% loss and carriage at 20% profit he earned a profit of 8% on the whole transaction.
A.900
B.376
C.197
D.167
Answer: A.900
Explanation: ANSWER: A
Question: pooja travels from A to B a distance of 800 miles in 10 hours. He returns to A in 5 hours. Find his average speed?
A.123.07mph
B.100mph
C.150.07mph
D.200mph
Answer: A.123.07mph
Explanation: Speed from A to B = 800/8 = 100 mph
Speed from B to A = 800/5 = 160 mph
Average speed = 2*100*160 / 260 = 123.07mph
Answer is A
Question: The speed of a car is 20 km in the first hour and 60 km in the second hour. What is the average speed of the car?
A.79 kmph
B.40 kmph
C.34 kmph
D.23 kmph
Answer: B.40 kmph
Explanation: S = (20 + 60)/2
= 40 kmph
Answer:B
Question: A sum of money at simple interest amounts to Rs. 2240 in 2 years and to Rs. 2600 in 5 years. The sum is:
A.Rs. 1500
B.Rs. 2000
C.Rs. 1000
D.Rs. 1200
Answer: B.Rs. 2000
Explanation: S.I. for 3 years = Rs. (2600 - 2240) = Rs. 360.
S.I. for 1 year = Rs. 360/3 = Rs. 120.
S.I. for 2 years = Rs. (120 x 2) = Rs.240.
Principal = Rs. (2240 - 240) = Rs. 2000.
Answer: Option B
Question: If X is invested in a bank at a rate of simple interest of y% p.a. for two years, then the interest earned is 500. if X is invested at y% p.a., for two years when the interest is compounded annually, the interest is 512.50. What is the value of X?
A.8000
B.6000
C.5000
D.4000
Answer: C.5000
Explanation: Simple way to solve this question is to use options.
From SI, we know that X*y=25,000.
Now, put the value of X = 5000, we will have y = 5%
To calculate CI,
Now, we know 1st year Amount= 5000+5% of 5000= 5250.
2nd year, Amount = 5250 + 5% of 5250 = 5512.50.
We can see after 2 years Interest = 5512.50-5000= 512.50 hence, it satisfies the question. Hence C is the correct answer
Question: The ratio of flour to water to sugar in a recipe is 11:8:1. The ratio in a new recipe calls for a doubling of the ratio of flour to water from the original recipe and a halving of the ratio of flour to sugar. If the new recipe calls for 4 cups of water, how much sugar is required?
A.5
B.4
C.3
D.2
Answer: D.2
Explanation: The ratio of flour to water is 22:8=11:4.
The ratio of flour to sugar is 5.5:1=11:2.
The new ratio of flour to water to sugar is 11:4:2
If we need 4 cups of water, then we need 2 cups of sugar.
The answer is D.
Question: The average of seven numbers is 18. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?
A.42
B.57
C.27
D.29
Answer: C.27
Explanation: The total of seven numbers = 7 Ã— 18 = 126
The total of first 3 and last 3 numbers is = 3 Ã— 14+3 Ã— 19 = 99
So, the middle number is (126 - 99 ) = 27
ANSWER IS C
Question: A group consists of 4 men, 6 women and 6 children. In how many ways can 2 men , 3 women and 1 child selected from the given group?
A.400
B.720
C.287
D.278
Answer: B.720
Explanation: Explanation:
Two men, three women and one child can be selected in â´Câ‚‚ * â¶Câ‚ƒ * âµCâ‚ ways
= (4 * 3)/(2 * 1) * (6 * 5 * 4)/(3 * 2) * 6
= 720 ways.
Answer:B
Question: If a man walks to his office at ¾ of his usual rate, he reaches office 1/3 of an hour late than usual. What is his usual time to reach office?
A.1
B.5
C.6
D.7
Answer: A.1
Explanation: Speed Ratio = 1:3/4 = 4:3
Time Ratio = 3:4
1 -------- 1/3
3 --------- ? è 1 hour
Answer: A
Question: Without stoppages a train travels a certain distance with an average speed of 160 kmph and with stoppages it covers the same distance with an average speed of 80 kmph. What is the time in minutes per hour for which train stops?
A.10 min/hr
B.25 min/hr
C.27 min/hr
D.30 min/hr
Answer: D.30 min/hr
Explanation: Pick a smart number for the distance. lets say LCM 160
Without = 160/160 = 1 hours
With = 160/80= 2 hours
So in a trip of 2 hours, 1 hour is spent in stoppages
Hence, 60/2 = 30 min/hr on stoppages
Answer : D
Question: Positive integers from 1 to 45, inclusive are placed in 5 groups of 9 each. What is the highest possible average of the medians of these 5 groups?
A.25
B.31
C.15
D.26
Answer: B.31
Explanation: Answer
We need to maximize the median in each group in order to maximize the average of all the medians.
The highest possible median is 41 as there should be 4 numbers higher than the median in a group of 9.
So, if we have a group that has a, b, c, d, 41, 42, 43, 44, 45, the median will be 41.
In this set, it is essential not to expend any more high values on a, b, c, or d as these do not affect the median.
The median of a group that comprises 1, 2, 3, 4, 41, 42, 43, 44, 45 will be 41.
The next group can be 5, 6, 7, 8, 36, 37, 38, 39, 40. The median will be 36.
Extrapolating the findings in the two sets listed above, to maximize medians in all the 5 groups, the medians of the 5 groups will have to be 21, 26, 31, 36 and 41.
The average of the highest possible medians will be the average of these 5 numbers = 31.
Answer B
Question: If cement, gravel and sand are to be mixed in 7:10:13 and 6 tons of cement is available how many tons of mixture can be produced assuming that sufficient gravel and sand is readily available.
A.35 7/8
B.40
C.34 2/7
D.25 5/7
Answer: D.25 5/7
Explanation: Cement:Gravel:Sand = 6:10:13 --> total of 6+10+13 = 30 parts.
If we use 8 tons of cement, then we'll get 6/7*30 = 25 5/7 tons of mixture.
Answer: D.
Question: If a, b, and c are integers and ab^2/c is a positive even integer, which of the following must be true?
I. ab is even
II. ab > 0
III. c is even
A.l only
B.ll only
C.l and ll
D.l and lll
Answer: A.l only
Explanation: Given: a, b, and c are integers and ab^2/c is a positive even integer.
Evaluate each option:
I. ab is even.
ab^2/c to be positive even integer ab^2 must be even, from which it follows that either a or b must be even, thus ab has to be even.
II. ab > 0
Since b is squared in our expression, then we can say nothing about its sign, thus we cannot say whether ab is positive.
III. c is even
The easiest one: ab^2/c = integer/c = even --> c could be even as well as odd.
Answer: A.
Question: ((-1.9)(0.6) – (2.6)(1.2))/4.0 = ?
A.1.07
B.1.0
C.-1.065
D.1.71
Answer: C.-1.065
Explanation: Dove straight into calculation but quickly realized that the sum of two negatives is a negative so there is only one option.
-1.065
Answer C
Question: The speed of a boat in still water is 21 km/hr and the rate of current is 8 km/hr. The distance travelled downstream in 13 minutes is
A.1.6 km
B.2 km
C.6.3 km
D.4 km
Answer: C.6.3 km
Explanation: Explanation:
Speed downstreams	=(21 + 8)kmph
= 18 kmph.
Distance travelled	= (29 x 13/60)km
= 6.3km
Option C
Question: The least number of five digits which is completely divisible by 39, is
A.10062
B.10101
C.10016
D.10023
Answer: D.10023
Explanation: D 10023
Question: Three people took GMAT practice tests in which the minimum and maximum possible scores are 200 and 800, respectively. They each took a test 5 times, and no one scored below 600 or over 760. If the individual ranges of the three people's scores in those 5 practice tests were 20, 60 and 90, what is the difference between the maximum and minimum possible ranges of all their scores put together.
A.40
B.60
C.70
D.100
Answer: C.70
Explanation: According to the information in the question the maximum range would be between 600 and 760(160). The minimum range would be the greatest range for any one individual, which is listed in the problem as 90. So the difference between these would be 160-90 or 70.
Answer: C
Question: Increasing the original price of an article by 15 percent and then increasing the new price by 15 percent is equivalent to increasing the original price by
A.32.25%
B.31.00%
C.30.25%
D.30.00%
Answer: A.32.25%
Explanation: You can do this by approximation, or with straight math by calculating 100*1.15^2.
Or step by step: if you increase 100 by 15% you'll get 115, then if you increase 115=100+15 by 15% again, 100 will gain 15 again and 15 will gain its 15% which is 2.25, so total gain is 15+2.25=17.25 --> 115+17.25=132.25.
Answer: A.
Question: Two cyclists are running on a circular track of 600m.They start from the same point A at the same time.If they meet for the first time at a point 150 m from A, which of the following could be the possible ratio of their speeds?
A.1:3
B.2:3
C.3:5
D.5:7
Answer: A.1:3
Explanation: well, the key aspect of this question is the distance mentioned, when they met for the first time, which is 150m away from the starting point. This distance between their first meeting can be less than 600 in only two circumstance.
1) if both are travelling in the same direction and one of them has been given a head start say by few meters.
2) or if both are travelling in the opposite direction.
now since they start their journey at the same time. hence option 1 is ruled out. hence they must be running in the opposite direction. hence answer should be 1:3.
Why?? here is a solution
As here time is constant, therefore, distance traveled will be directly proportional to the the respective velocities/speed of the two runners.(d1/d2=v1/v2)
now one of them has covered 150m, therefore other must have covered 450m, therefore ratio of their speeds/velocities will be 1:3
A
Question: A bag holds 2 red marbles and 3 green marbles. If you removed two randomly selected marbles from the bag, without replacement, what is the probability that both would be red?
A.1/10
B.1/5
C.3/10
D.2/5
Answer: A.1/10
Explanation: probability of selecting first red marble = 2/5
probability of selecting second red marble without replacement = 1/4
final probability = 2/5 * 1/4 = 1/10
correct answer - A
Question: A train travels from Albany to Syracuse, a distance of 100 miles, at the average rate of 50 miles per hour. The train then travels back to Albany from Syracuse. The total travelling time of the train is 5 hours . What was the average rate of speed of the train on the return trip to Albany?
A.40
B.50
C.60
D.33.33
Answer: D.33.33
Explanation: 50*T =100 THEREFORE T = 100/50 =2
ON RETURN SPEED * ( 5 -2) =100 THEREFORE T = 100/3 =33.33
D
Question: What will be the difference in simple and compound interest on 3000 after three years at the rate of 10 percent per annum?
A.93
B.42
C.62
D.20
Answer: A.93
Explanation: For 3 years:
Diff.=Sum×(rate)2(300+rate)/(100)3
= 3000×10×10×310/100×100×100 = 93
Answer A
Question: A train of 24 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.5 km long?
A.4
B.3
C.5
D.7
Answer: B.3
Explanation: D = 25 * 60 + 1500 = 3000 m
T = 3000/60 * 18/5 = 180 sec = 3 mins
Answer: B
Question: 23, 29, 31, 37, 41, 43, (...)
A.53
B.48
C.59
D.47
Answer: D.47
Explanation: All are prime numbers in their order, starting from 23
Hence, next number is 47
Answer is D
Question: If a sample of data has mean of 23 and SD of 3, which of the following values is more than 2.5 SDs from the mean?
A.a. 16
B.b. 13.5
C.c. 17
D.d. 23.5
Answer: B.b. 13.5
Explanation: Value ismore than 2.5SDfrom the mean means that the distance between the mean and the value must be more than 2.5SD=7.5. So the value either <23-7.5=15.5 or >23+7.5=30.5.
Answer: B.
Question: On dividing a number by 357, we get 39 as remainder. On dividing the same number 17, what will be the remainder?
A.10
B.12
C.5
D.25
Answer: C.5
Explanation: Explanation:
Let x be the number and y be the quotient. Then,
x = 357 x y + 39
= (17 x 21 x y) + (17 x 2) + 5
= 17 x (21y + 2) + 5)
Required remainder = 5.
C)
Question: If the radius of a circle is increased by 20% then the area is increased by:
A.44%
B.120%
C.144%
D.40%
Answer: A.44%
Explanation: initially A=pi*r2
now R2=120/100r
then area=Pi*(120R/100)2
area=144R/100
that is area increases from 100 to 144=increase in area=44%
ANSWER:A
Question: In how many ways can the letters of word DIRECTION be arranged such that NO two vowels appear together?
A.9!
B.5!*5!
C.4!*5!/2
D.5!*4!*2!
Answer: C.4!*5!/2
Explanation: No 2 vowels together = the only arrangement possible will be C V C V C V C V C (with V=vowel, C=consonant). This is true as we have 4 vowels and 5 consonants and any other combination will force us to pair 2 vowels together. Since there are two 'i's divide by 2
Thus, the number of arrangements possible : 5 *4 *4 *3 *3 *2 *2*1 = 4!*5!/2 ----> C is the correct answer.
Question: In 1970 there were 8,902 women stockbrokers in the United States. By 1978 the number had increased to 21,947. Approximately what was the percent increase?
A. 45%
B. 125%
C. 147%
D. 150%
Answer: C. 147%
Explanation: The percent increase is (21947-8902)/8902=13045/8902=1.47
So the approximate answer is C
Question: The average age of one class strength 32 students is 16 yrs. if the staff's age is also included, the average increases by one year. Find the age of the staff
A.50
B.52
C.49
D.32
Answer: C.49
Explanation: total age of students => 32 × 16 = 512 Yrs
Total age inclusive staff = 33 × (16+1) = 561
=> staff's age 561-512 = 49 Yrs
ANSWER C
Question: Lisa and Robert have taken the same number of photos on their school trip. Lisa has taken 3 times as many photos as Claire and Robert has taken 16 more photos than Claire. How many photos has Claire taken?
A.6
B.8
C.10
D.12
Answer: B.8
Explanation: L = R
L = 3C
R = C + 16
3C = C + 16
C = 8
The answer is B.
Question: Candy bars are on sale at the grocery, buy 3 get 1 free. There are only 15 candy bars left (5 dark chocolate and 10 white chocolate). A shopper randomly grabs 10 bars. What is the probability the shopper will grab exactly 3 white chocolate bars?
A.7/9
B.3/5
C.40/91
D.3/7
Answer: C.40/91
Explanation: Combination Probability Formula: nCr = n!/[r!(n-r)!]
Total possible, select 4 bars from 15 bars = 15C4 = 15!/[4!(15 - 4)!] = 1,365.
To have 3 white there must be 1 dark, select 1 dark from 5 = 5C1 = 5.
And, select 3 white from 10 = 10C3 = 120.
3 white and 1 dark = (5)(120) = 600
Probability = (number outcomes favorable)/(total number outcomes) = 600/1,365 = 40/91
Answer: C
Question: I flew my tiny seaplane to visit my mother. On the flight up, I flew at 96 mph. On the way home, I flew 88 mph. What was my average speed for the trip?
A.198 mph
B.110 mph
C.92 mph
D.100 mph
Answer: C.92 mph
Explanation: (96 mph +88 mph)/2= 92 mph
Correct answer is: C
Question: A, B, C subscribe Rs. 50,000 for a business, A Subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 70,000, B receives :
A.14700
B.14703
C.23800
D.33777
Answer: C.23800
Explanation: Explanation:
Let C = x. Then, B = x + 5000 and A = x + 5000 + 4000 = x + 9000.
So, x + x + 5000 + x + 9000 = 50000 <=> 3x = 36000 <=>
x = 12000.
A : B : C = 21000 : 17000 : 12000 = 21 : 17 : 12.
B's share = Rs. (70000 * 17/50 ) = Rs. 23,800.
Answer: C)