RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Jill works as a waitress at the local diner where she earns an hourly wage of $4.00 per hour and a standard tip rate of 15% of the cost of the orders she serves. If she worked six 8-hour shifts this week and averaged $40 in orders per hour, how much did Jill earn this week?
A.280
B.300
C.480
D.350
Answer: C.480
Explanation: Jill earns 4 dollars/hour and the hourly tip is (3/20)*40.
Jill thus earns 4*8+8*2*3 per day(or 4(8)+6(8)=10(8)=80).
Jill has worked for 6 days -> 80*6=480.
This matches answer choice C.
Question: The value of a machine depreciates at 20% per annum. If its present value is Rs. 1,50,000, at what price should it be sold after two years such that a profit of Rs. 24,000 is made?
A.1,20,003
B.1,20,000
C.1,20,001
D.1,20,027
Answer: B.1,20,000
Explanation: The value of the machine after two years = 0.8 * 0.8 * 1,50,000 = Rs. 96,000
SP such that a profit of Rs. 24,000 is made = 96,000 + 24,000 = Rs. 1,20,000
Answer:B1,20,000
Question: The probability that A speaks truth is 3/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact?
A.18/35
B.12/35
C.17/35
D.19/35
Answer: A.18/35
Explanation: If both agree stating the same fact, either both of them speak truth of both speak false.
Probability = 3/5 * 4/7 + 2/5 * 3/7
= 12/35 + 6/35 = 18/35
ANSWER:A
Question: What is the square root of 239,121?
A.476
B.489
C.497
D.511
Answer: B.489
Explanation: According to divisibility rules, 239,121 is divisible by 9.
2+3+9+1+2+1=18
This means, that the answer choice must be divisible by 3
A) 4+7+6= 17 NO
B) 4+8+9= 21 YES
C) 4+9+7= 20 NO
D) 5+1+1= 7 NO
E) 5+2+4= 11 NO
B is the only answer
Question: If the original mass of an element, in grams, is a whole number and the element has decayed by exactly 94 percent in some time period, which of the following could be the final mass of that element?
A.27 grams
B.28 grams
C.29 grams
D.31 grams
Answer: A.27 grams
Explanation: Final mass/0.06 = Original mass
Original mass is a whole number. Only 27 is divisible by 0.06 or 2700/6 is a whole number.
Answer: A
Question: Boy sells a book for Rs. 450 he gets a loss of 10%, find CP of the book?
A.Rs.400
B.Rs.450
C.Rs.500
D.Rs.550
Answer: C.Rs.500
Explanation: Find cost price
Let C.P. of book = x and S.P. = Rs. 450
S.P. of book = C.P. – (10% of C.P.)
S.P. = x – (0.10x)
450 = 0.9 x
x i.e cost price = Rs.500
C
Question: What is the smallest number which when increased by 3 is divisible by 27, 35, 25, & 21 ?
A.4722
B.4725
C.4728
D.4731
Answer: A.4722
Explanation: Here smallest number means LCM
Hence LCM of 27,35,25,21 = 3^3 x 5^2 x 7
= 4725
Therefore required number is 4725 - 3 =4722
Ans - A
Question: A pipe can empty 2/3rd of a cistern in 12 mins. In 8 mins, what part of the cistern will be empty?
A.2/3
B.2/5
C.4/9
D.5/7
Answer: C.4/9
Explanation: 2/3 ---- 12
? ----- 8 ==> 4/9
C
Question: If 2^k + 2^k = (2^9)^(2^9) - 2^k, then k = ?
A. 11/3
B. 11/2
C.2^11 - 1
D. 3^10
Answer: C.2^11 - 1
Explanation: 2^k + 2^k = (2^9)^2^9 - 2^k
2*(2^k) = 2 ^ (4 * 3^9 ) = 2^(2^2 * 2^9) = 2^(2^11)
2^k+1 = 2^(2^11)
So k+1 = 2^11
So k = 2^11 -1
Answer is C
Question: In a group of 10 doctors, 3 doctors are only pediatricians; the others are surgeons or general practitioners - but not both. A team of 3 doctors is to be chosen which must have at least 1 pediatrician, how many different teams can be chosen?
A.85
B.140
C.60
D.80
Answer: A.85
Explanation: The problem asks for a combination, since order doesn't matter. Now, selecting r items from a set of n gives the Combination Formula: nCr= n!/r!(n-r)!
n = 10
r = 3
So, total teams is 10C3 = 10!/(3!(10 - 3)!) = 120, and
n = 10 - 3 = 7
r = 3
for teams without a pediatrician is 7C3 = 7!/(3!(7 - 3)!) = 35,
so, teams with at least 1 pediatrician = 120 - 35 = 85
Answer: A
Question: Excluding stoppages, the speed of a bus is 54 km/hr and including stoppages, it is 45 km/hr. For how many minutes does the bus stop per hour?
A.22
B.10
C.99
D.77
Answer: B.10
Explanation: Due to stoppages, it covers 9 km less.
Time taken to cover 9 km = 9/54 * 60 = 10 min.
Answer:B
Question: Nicole cycles at a constant rate of 12 kilometers per hour, and is passed by Jessica, who cycles at a constant rate of 30 kilometers per hour. If Jessica cycles at her constant rate for x minutes after passing Nicole, then stops to wait for her, how many minutes will Jessica have to wait for Nicole to catch up to her?
A.x/3
B.x/2
C.x
D.3x/2
Answer: D.3x/2
Explanation: In x minutes, Jessica travels (x/60)*30 = x/2 miles
The time it takes Nicole to travel x/2 miles is (x/2) / 12 = x/24 hours = 5x/2 minutes
Jessica needs to wait 5x/2 - x = 3x/2 minutes.
The answer is D.
Question: The length of a room is 5.5 m and width is 3.75 m. Find the cost of paying the floor by slabs at the rate of Rs. 400 per sq.metre.
A.Rs. 15,000
B.Rs. 8,250
C.Rs. 15,600
D.Rs. 16,500
Answer: B.Rs. 8,250
Explanation: Solution
Area of the floor	= (5.5 x 3.75)m²
= 20.635m ²
Cost of paying	= Rs. (400 x 20.625)
= Rs.8,250.
Answer B
Question: If x, y, and a are positive numbers such that 10*x/(x+y)+ 20*y/(x+y)=a and if x is less than y, which of the following could be the value of a?
A.10
B.12
C.15
D.18
Answer: D.18
Explanation: Answer choice C: a= 15
(10x + 20y)/(x+y) = 15
10x + 20y = 15x + 15y
5y = 5x
y = x
Doesn't work because the problem states that x<y.
We need y to be larger, so let's try answer choice D: a=18
10x + 20y = 18x + 18y
2y = 8x
y/x = 8/2
Success! x<y.
The correct answer is D.
Question: With out any halt a train travels a certain distance with an average speed of 66 km ph , and with halts it covers the same distance at an average speed of 33 kmph. When it is traveling with halts, how many minutes/per hour does the train halt on an average ?
A.48 min.
B.12min.
C.60min.
D.18min.
Answer: C.60min.
Explanation: With halt in 1 hour the train travels 60km
With out halt for traveling same distance it take 66/33= 2/1 = 120 minutes
:. 60 minutes is the halting time per hour
ANSWER:C
Question: After 76 liters of petrol were poured into the tank, it was still 5% empty. How much petrol must be poured into the tank in order to fill it?
A.7 liters
B.4 liters
C.3 liters
D.2 liters
Answer: B.4 liters
Explanation: 95% ----------- 76
5% ------------ ?
=> 4 liters
Answer: B
Question: A part-time employee’s hourly wage was increased by 15%. She decided to decrease the number of hours worked per week so that her total income did not change. By approximately what percent should the number of hours worked be decreased?
A.13%
B.15%
C.25%
D.50%
Answer: A.13%
Explanation: Let's plug in somenicenumbers and see what's needed.
Let's say the employee used to make $1/hour and worked 100 hours/week
So, the TOTAL weekly income was $100/week
After the 15% wage increase, the employee makes $1.15/hour
We want the employee's income to remain at $100/week.
So, we want ($1.15/hour)(new # of hours) = $100
Divide both sides by 1.15 to get:
new # of hours = 100/1.15
≈ 87 hours
So, the number of hours decreases from 100 hours to (approximately) 87 hours.
This represents a 13% decrease (approximately) .
Answer : A
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.2088
C.2799
D.2098
Answer: A.2000
Explanation: (10*10)/100 = 1%loss
100 --- 99
? --- 1980 => Rs.2000
Answer: A
Question: If the curve represented by y = x^2 – 5x + t intersects with the x-axis at two points and one of the points is (–1, 0), what is the other point?
A.(1, 0)
B.(–2, 0)
C.(5, 0)
D.(6, 0)
Answer: D.(6, 0)
Explanation: Curve represented by y = x^2 – 5x + t intersects with the x-axis at points where y = 0.
One of the points is (-1,0) Plugging in the equation => 0 = 1 + 5 + t => t = -6
Plugging t back to the equation now we have y = x^2 – 5x - 6, where y = 0.
This equation gives 2 solution x= -1 and 6.
We already know about the point (-1,0) so the other point is (6,0).
Hence D.
Question: The number x of cars sold each week varies with the price y in dollars according to the equation x = 800,000 – 50y. What would be the total weekly revenue, in dollars, from the sale of cars priced at $ 11,000?
A.50,000
B.2,750,000,000
C.850,000
D.7,500,000
Answer: B.2,750,000,000
Explanation: number of cars sold = x=800000-50y
y=11000
x=800000-550000=250000
revenue from 250000 cars=11000*250000=2750000000 B
Question: 850 - (1500 ÷ ?) × 8/15 = 770
A.A)31
B.B)10
C.C)15
D.D)26
Answer: B.B)10
Explanation: Explanation:
=> 850 - (1500 ÷ ?) × 8/15 = 770
=> 850 - 770 = (1500 ÷ ?) × 8/15
=> 80 = (1500 ÷ ?) × 8/15
=> 80 × 15/8 = (1500 ÷ ?) = 150
=> 1/? = 150/1500 = 1/10
=> ? = 10
Answer: Option B
Question: Two pipes can fill a tank in 10 minutes and 15 minutes. An outlet pipe can empty the tank in 30 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?
A.7.0
B.7.5
C.8.0
D.8.5
Answer: B.7.5
Explanation: Let V be the volume of the tank.
The rate per minute at which the tank is filled is:
V/10 + V/15 - V/30 = 2V/15 per minute
The tank will be filled in 15/2 = 7.5 minutes.
The answer is B.
Question: Find the odd man out.
41, 43, 47, 53, 61, 71, 73, 81
A.22
B.88
C.27
D.81
Answer: D.81
Explanation: Explanation:
Each of the numbers except 81 is a prime number.
Answer: D) 81
Question: In the graduating class of a certain college, 48 percent of the students are male and 52 percent are female. In this class 40 percent of the male and 20 percent of the female students are 25 years old or older. If one student in the class is randomly selected, approximately what is the probability that he or she will be less than 25 years old?
A.0.9
B.0.7
C.0.45
D.0.3
Answer: B.0.7
Explanation: Percent of students who are 25 years old or older is 0.4*48+0.2*52=~30, so percent of people who are less than 25 years old is 100-30=70.
Answer: B.
Question: A reduction of 30% in the price of oil enables a house wife to obtain 3kgs more for Rs.700, what is the reduced price for kg?
A.70
B.50
C.60
D.80
Answer: A.70
Explanation: 700*(30/100) = 210---- 3
? ---- 1 => Rs.70
Answer:A
Question: City X has a population 7 times as great as the population of City Y, which has a population twice as great as the population of City Z. What is the ratio of the population of City X to the population of City Z?
A.1:8
B.1:4
C.2:1
D.14:1
Answer: D.14:1
Explanation: x= 7y, y= 2*z
X : Y , Y : Z
7 : 1 , 2 : 1
14 : 2 , 2 : 1
So, X : Z = 14 : 1
(D)
Question: The width of a rectangular hall is ½ of its length. If the area of the hall is 288 sq.m, what is the difference between its length and breadth?
A.8m
B.10m
C.12m
D.15m
Answer: C.12m
Explanation: Let the length of the hall be x m
Breadth of the hall = 1x/2 m
Area of the hall = Length * Breadth
288 = x * 1x/2
x² = 576
x =24
Difference between the length and breadth of the hall = x - 1x/2 = x/2
=24/2 = 12m
ANSWER:C
Question: The average number of shirts with Salman, Ambani and Dalmiya is 60, if all of them reached a shopping mall in Delhi and purchased 2 shirts each of them then average number of shirt each of them now has
A.66
B.63
C.62
D.64
Answer: C.62
Explanation: Required average
= Old average + New average
= 60 + 2 = 62
answer :C
Question: If 5% more is gained by selling an article for Rs. 1000 than by selling it for Rs. 20, the cost of the article is?
A.127
B.1600
C.1200
D.1680
Answer: B.1600
Explanation: Let C.P. be Rs. x.
Then, 5% of x = 1000 - 20= 80
x/20 = 80 => x = 1600
Answer: B
Question: Of the 800 employees of Company X, 80 percent have been with the company for at least ten years. If y of theselong-termmembers were to retire and no other employee changes were to occur, what value of y would reduce the percent oflong-termemployees in the company to 60 percent ?
A.200
B.160
C.400
D.80
Answer: C.400
Explanation: Original (Long-Term is 70%)
Total = 800
Long-Term = .8(800) = 640
New (Long-Term is 60%)
New Total = 800 - y
New Long-Term = 640 - y
640 - y = .6 (800 - y)
y = 400
Answer: C
Question: The ratio of the prices of three articles X, Y and Z is 8 : 5 : 3. If the prices of X , Y and Z are increased by 25%, 20% and 33 1/3% respectively, then what would be the ratio of the new prices of X, Y and Z?
A.5 : 3 : 1
B.5 : 3 : 2
C.10 : 7 : 4
D.10 : 8 : 5
Answer: B.5 : 3 : 2
Explanation: Let the prices of X, Y and Z be 8k, 5k and 3k respectively.
After increase
Price of X = 8k * 125/100 = 10k
Price of Y = 5k * 120/100 = 6k
Price of Z = 3k * (133 1/3)/100 = 4k
Required ratio = 10k : 6k : 4k = 5 : 3 : 2.
ANSWER:B
Question: Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 18 minutes. The waste pipe can empty the full cistern in?
A.9 min
B.3 min
C.5 min
D.8 min
Answer: A.9 min
Explanation: 1/10 + 1/15 - 1/x = 1/18
x = 9
ANSWER A
Question: Ram professes to sell his goods at the cost price but he made use of 900 grms instead of a kg, what is the gain percent?
A.11 1/7%
B.11 1/8%
C.11 1/9%
D.11 9/9%
Answer: C.11 1/9%
Explanation: 900 --- 100
100 --- ? => 11 1/9%
Answer: C
Question: A man whose speed is 6.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 2.5 kmph, find his average speed for the total journey ?
A.1 kmph
B.5 kmph
C.5.5 kmph
D.4 kmph
Answer: C.5.5 kmph
Explanation: Explanation:
Speed of Man = 6.5 kmph
Speed of stream = 2.5 kmph
Speed in DownStream = 9 kmph
Speed in UpStream = 4 kmph
Average Speed = (2 x 9 x 4)/13 = 5.5 kmph.
Answer: C
Question: The avg weight of A,B & C is 84 kg. If D joins the group, the avg weight of the group becomes 80 kg.If another man E who weights is 6 kg more than D Replaces A, Then the avgof B,C,D&E becomes 79 kg. What is the weight of A?
A.25
B.35
C.75
D.78
Answer: D.78
Explanation: A + B + C = 3 *84 = 252
A + B + C + D = 4 * 80 = 320 ---- (i)
So, D = 68& E = 68 +6 = 74
B + C + D +E = 79 * 4 = 316 --- (ii)
From Eq. (i) & (ii)
A-E = 320 â€“ 316 = 4
A = E +4 = 74 + 4 = 78
D
Question: The average of 1st 3 of 4 numbers is 16 and of the last 3 are 15. If the sum of the first and the last number is 19. What is the last numbers?
A.2
B.4
C.6
D.8
Answer: D.8
Explanation: A + B + C = 48
B + C + D = 45
A + D = 19
A – D = 3
A + D = 19
2D = 16
D = 8
ANSWER D
Question: If 30 men take 15 days to to complete a job, in how many days can 25 men finish that work?
A.18
B.17
C.16
D.15
Answer: A.18
Explanation: Ans. 18 days
Question: Four years back, a father was 32 years older than his son. At present the father is 3 times as old as the son. How old will the son be three years from now?
A.16 years
B.17 years
C.18 years
D.19 years
Answer: D.19 years
Explanation: Using linear equations to convert the word problem:
** F = fathers current ageS = sons current age
#1 Four years back, a father was 32 years older than his son: F-4 = 32 + (S - 4)
#2 At present the father is 3 times as old as the son: F = 3*S
How old will the son be three years from now?: S + 3 = ?
With two variables and two linear equations we are able to solve the problem:
(S*3) - 4 = 32 +S -4
2S=32
S = 16
S + 3 = 16 + 3 = 19
Answer: D
Question: Nine people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased by:
A.7/8
B.1/8
C.1/3
D.1/7
Answer: B.1/8
Explanation: Original share of 1 person =1/9
New share of 1 person =1/8
Increase =1/8 -	1/9	=1/72
Required fraction =	(1/72)/(1/9)=1/8
Answer is B.
Question: Today is Monday. After 61 days, it will be
A.Thursday
B.Sunday
C.Monday
D.Saturday
Answer: D.Saturday
Explanation: Explanation:
61 days = 8 weeks 5 days = 5 odd days
Hence if today is Monday, After 61 days, it will be = (Monday + 5 odd days)
= Saturday
Answer: Option D
Question: A bag holds 4 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.4/14
B.1/5
C.3/10
D.2/5
Answer: A.4/14
Explanation: Given: 4R and 3 G marbles
Required: Probability that 2 marbles removed without replacement are both red
Initially we have to pick one red from a total of 4 red and 3 green marbles
After one red has been picked, we need to pick 1 red from a total of 3 red and 3 green marbles.
P(Both red) = (4/7)*(3/6) = 4/14
Option A
Question: If y = x^2 + rx + s, y is minimum when x is:
A.r/s
B.-r/s
C.-r/2
D.-s/2
Answer: C.-r/2
Explanation: We're given the equation Y = X^2 + rX + s.
IF.. we use a simple Classic Quadratic....
r = 2
s = 1
Y = X^2 + 2X + 1
We can then go about finding the answer that yields the MINIMUM result when X = ...
Answer A: r/s = 2/1 = 2 --> 4+4+1 = +9
Answer B: -r/s = -2/1 = -2 --> 4-4+1 = +1
Answer C: -r/2 = -2/2 = -1 --> 1-2+1 = 0
Answer D: -s/2 = -1/2 -->(1/4)-1+1 = +1/4
Answer E: s/r = 1/2 --> (1/4)+1+1 = +2 1/4
From these results, we can see the minimum result:
C
Question: For dinner at a restaurant, there are x choices of appetizers, y main courses, and z+ 1 choices of dessert. How many total possible choices are there if you choose 1 appetizer, 1 main course, and 1 dessert for your meal?
A.x + y + z + 1
B.xyz + xy
C.xy + z + 1
D.xyz + 1
Answer: B.xyz + xy
Explanation: x appetizers,
y main courses,
z+ 1 dessert
Required: 1 appetizer, 1 main course, and 1 dessert
Number of ways possible = xC1*(z+1)C1*yC1 {NC1 = N! / (N-1)!*1! = N}
Hence, number of ways = x(z+1)y = xyz + xy
Correct Option: B
Question: There are 14 stamps from which two stamps will be selected. We have five stamps which are the same as five of the stamps which could be selected. What is the probability that the two stamps selected will be different from the stamps that we have?
A.36/91
B.30/83
C.25/71
D.15/61
Answer: A.36/91
Explanation: P(first stamp is different) = 9/14
P(second stamp is different) = 8/13
P(both stamps are different) = 9/14*8/13 = 72/182 = 36/91
The answer is A.
Question: A certain NYC taxi driver has decided to start charging a rate of r cents per person per mile. How much, in dollars, would it cost 8 people to travel x miles if he decides to give them a 50% discount?
A.3xr/2
B.3x/200r
C.3r/200x
D.xr/25
Answer: D.xr/25
Explanation: 8xr/2 is in cents - 8xr/200 dollars = xr/25
Answer : D
Question: A customer purchased a package of ground beef at a cost of $1.80 per pound. For the same amount of money, the customer could have purchased a piece of steak that weighed 25 percent less than the package of ground beef. What was the cost per pound of the steak?
A.$2.00
B.$2.15
C.$2.30
D.$2.40
Answer: D.$2.40
Explanation: For simplicity, let's assume the customer bought 1 pound of ground beef for $1.80.
Let x be the price per pound for the steak.
Then 0.75x = 180
x = 180/0.75 = $2.40
The answer is D.
Question: if x:y = 1:4, then find the value of
(7x+3y):(2x+y)
A.14:5
B.15:5
C.16:5
D.19:6
Answer: D.19:6
Explanation: Explanation:
let x = 1k and y = 4k, so
=7(k)+3(4k)/ 2(k)+1(4k)
=19k/6k
=19:6
Option D
Question: The NASDAQ index has decreased by 70% since year 2000. How much should the index increase in order to gain the same value as in year 2000 ?
A.400%
B.80%
C.233%
D.60%
Answer: C.233%
Explanation: Let x be the index in the year 2000. After the decrease it becomes 0.3x
Now for 0.3x to reach 1x it has to raise by 0.7x. The increase needs to be 0.7x/0.3x*100=233.3%
Answer C
Question: If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 70, then the average marks of all the students is:
A.53.33
B.54.68
C.57.5
D.56
Answer: C.57.5
Explanation: Explanation:
Required average = (55 × 50 + 60 × 55 + 45 × 70/55 + 60 + 45)
= (2750 + 3300 + 3150/160)
= 9200/160
= 57.5
Answer: C
Question: If f(x)=x^2 and x is a positive integer, which of the following CAN be the value of f(f(x))?
A.25
B.17
C.81
D.144
Answer: C.81
Explanation: f(x)=x^2
f(f(x)) = (x^2)^2
f(f(3) = (3^2)^2 = 81
Answer C
Question: A telephone company needs to create a set of 3-digit area codes. The company is entitled to use only digits 2, 4 and 3, which can be repeated. If the product of the digits in the area code must be even, how many different codes can be created?
A.20
B.26
C.24
D.22
Answer: B.26
Explanation: Total # of codes possible is 3*3*3 = 27. Oit of those 27 codes only the product of 333 will be odd, the remaining 26 will have either 2 or 4 in them, which ensures that their product will be even. Therefore the number of codes where the product of the digits is even = (total) - (restriction) = 27 - 1 = 26.
Answer: B
Question: How many 6-digits number are Palindromic numbers? A Palindromic number reads the same forward and backward, example
A.100
B.610
C.729
D.900
Answer: D.900
Explanation: The hundred-thousand's digit won't be zero or else it's no longer a 6 digit integer (you could form a palindromic number with five digits though). The subesquent two digits, ten-thousand's and thousand's digit, can be 10 different numbers each, zero - nine. Thus,
9∗10∗10∗1∗1∗1=9009∗10∗10∗1∗1∗1=900 Answer D
Question: if r is radius of a circle and perimeter of circle is 12π.calculate r+2r-(r/2).
A.15
B.10
C.12
D.6
Answer: A.15
Explanation: perimeter of circle=2πr.
2πr=12π,r=6
r+2r-(r/2)
6+2*6-(6/2)
6+2*6-3
6+12-3
18-3=15
answer A
Question: A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
A.150
B.882
C.277
D.288
Answer: A.150
Explanation: Length of the train be ‘X’
X + 150/15 = X + 250/20
4X + 600 = 3X + 750
X = 150m
Answer: A
Question: A, B and C play a cricket match. The ratio of the runs scored by them in the match is A:B = 2:3 and B:C = 2:5. If the total runs scored by all of them are 125, the runs scored by B are?
A. 15 B. 18
A.22
B.18
C.30
D.77
Answer: C.30
Explanation: A:B = 2:3
B:C = 2:5
A:B:C = 4:6:15
6/25 * 125 = 30
Answer: C
Question: The average age of a husband and a wife is 23 years when they were married five years ago but now the average age of the husband, wife and child is 22 years(the child was born during the interval). What is the present age of the child?
A.7 years
B.9 years
C.10 years
D.4 years
Answer: C.10 years
Explanation: 28 * 2 = 56
22 * 3 = 66
-----------
10 years
Answer: C
Question: The tax on a commodity is diminished by 20% but its consumption is increased by 10%. Find the decrease percent in the revenue derived from it?
A.12%
B.14%
C.16%
D.20%
Answer: A.12%
Explanation: Explanation:
100 * 100 = 10000
80 * 110 = 8800
10000------- 1200
100 ------- ? = 12%
A)
Question: In a charity show, tickets numbered consecutively from 101 through 350 are placed in a box. What is the probability that a ticket selected at random (blindly) will have a number with a hundredth digit of 2?
A.0.285
B.2/5
C.99/225
D.47/205
Answer: B.2/5
Explanation: Let S be the numbers between 101 and 350, i.e., n(S) = 250
Let E be the event when hundredth digit is 2.
n(E) = 100th digits of 2 = 299 − 199 = 100
P(E) = n(E)/n(S) = 100/250 = 2/5
ANSWER:B
Question: Of the goose eggs laid at a certain pond, 2/3 hatched and 3/4 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 130 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. 280
B. 400
C. 540
D. 650
Answer: D. 650
Explanation: Of the goose eggs laid at a certain pond, 2/3 hatched and 3/4 of the geese that hatched from those eggs survived the first month:
2/3*3/4 = 1/2 survived the first month.
Of the geese that survived the first month, 3/5 did not survive the first year:
(1-3/5)*1/2 = 1/5 survived the first year.
130 geese survived the first year:
1/5*(total) = 130 --> (total) = 650.
Answer: D.
Question: In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one girl is included?
A.145
B.170
C.195
D.220
Answer: C.195
Explanation: The total number of ways to choose 4 children is 10C4 = 210
The number of ways to choose only boys is 6C4 = 15
The number of groups which include at least one girl is 195.
The answer is C.