RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Jack, Jill, and Sandy each have one try to make a basket from half court. If their individual probabilities of making the basket are 1/6, 1/7, and 1/8 respectively, what is the probability that all three will miss?
A.3/8
B.5/8
C.7/16
D.9/16
Answer: B.5/8
Explanation: The probability that all three will miss is 5/6*6/7*7/8=5/8.
The answer is B.
Question: M and N invested in a shop. The profits were divided in the ratio of 4 : 5 respectively. If M invested Rs. 40,000, the amount invested by N is:
A.35000
B.40000
C.50000
D.60000
Answer: C.50000
Explanation: Suppose N invested Rs. x. Then, 40000/x = 4/5 or y = [40000 x 5/ 4] = 50000.
Answer C
Question: 7.51 8.22 7.86 8.36
8.09 7.83 8.30 8.01
7.73 8.25 7.96 8.53
A vending machine is designed to dispense 8 ounces of coffee into a cup. After a test that recorded the number of ounces of coffee in each of 1000 cups dispensed by the vending machine, the 12 listed amounts, in ounces, were selected from the data above. If the 1000 recorded amounts have a mean of 7.5 ounces and a standard deviation of 0.3 ounces, how many of the 12 listed amounts are within 1.7 standard deviation of the mean?
A.Four
B.Six
C.Nine
D.Ten
Answer: B.Six
Explanation: Mean = 7.5
Standard Deviation = 0.3
within 1.7 standard deviation of the mean
i.e. 1.7 standard deviation ABOVE the mean = 7.5+1.7*0.3 = 8.01
and 1.7 standard deviation BELOW the mean = 7.5-1.7*0.3 = 6.99
hence, 6 values fall within 1.7 SD from Mean
Answer: Option B
Question: If integer k is equal to the sum of all even multiples of 25 between 200 and 600, what is the greatest prime factor of k?
A.5
B.7
C.11
D.13
Answer: D.13
Explanation: if we break down what the stem is asking what is the sum of all mult of 50 between 200 and 600.
using arithmetic progression to find n : 600 = 200 + (n - 1) 50
400+ 50 = 50n
450 = 50n => n = 9
the sum would be: 9* mean
mean = [600 + 200] / 2 = 400
9*400 =3600
D
Question: If José reads at a constant rate of 2 pages every 6 minutes, how many seconds will it take him to read N pages?
A.180
B.2N
C.5/2*N
D.24N
Answer: A.180
Explanation: Jose would read 1 page in 6/2 min
Jose would read N page in (6/2)*N min i.e. (6/2)*N*60 Seconds = 180N Seconds.
Option A is the correct Answer.
Question: An amount of money is to be divided between P, Q and R in the ratio of 3:7:12. If the difference between the shares of P and Q is Rs.2400, what will be the difference between Q and R's share?
A.3000
B.2887
C.2666
D.2578
Answer: A.3000
Explanation: 4 --- 2000
5 --- ? => 3000
Answer: A
Question: How much time will take for an amount of Rs. 320 to yield Rs. 81 as interest at 4.5% per annum of simple interest?
A.8 years
B.4 years
C.3 years
D.5 years 7 months
Answer: D.5 years 7 months
Explanation: Time = (100 * 81) / (320 * 4.5)
= 5 years 7 months
Answer: D
Question: If 2^5, 3^3, and 11^2 are all factors of the product of 936 and w where w is a positive integer, what is the smallest possible value of w?
A.132
B.39
C.42
D.65
Answer: A.132
Explanation: Here 156 has three two's
two three's
and one 11
rest of them must be in w
so w= 11*3*4 = 132
Smash A
Question: A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets $500 more than D, what is A's share?
A.$1200
B.$1600
C.$2000
D.$2500
Answer: D.$2500
Explanation: Let the shares of A, B, C and D be 5x, 2x, 4x and 3x respectively.
Then, 4x - 3x = 500
x = $500
A's share = 5x = 5*$500 = $2500
The answer is D.
Question: In how many ways can a cricket eleven be chosen out of a batch of 15 players.
A.1365
B.2154
C.1245
D.4512
Answer: A.1365
Explanation: Required number of ways
= 15C 11 = 15C (15-11)
= 15C4
15C4 = 15 * 14 * 13 * 12 / 4 * 3 * 2 *1
= 1365
Ans: A
Question: For how many values n is 2^n = n^2 ?
A.None
B.One
C.Two
D.Three
Answer: D.Three
Explanation: draw a graph with x^2 and 2^x, you'll see 3 intercepts between the 2 curves, but one is in the 2nd quadrant,Thus 3 are valid, and the answer is D
Question: A train covers a distance of 6 km in 10 min. If it takes 12 sec to pass a telegraph post, then the length of the train is?
A.120m
B.180m
C.240m
D.220m
Answer: A.120m
Explanation: Speed = (6/10 * 60) km/hr = (36 * 5/18) m/sec = 10 m/sec.
Length of the train = 10 * 12 = 120 m.
ANSWER:A
Question: One fourth of a solution that was 15% sugar by weight was replaced by a second solution resulting in a solution that was 16 percent sugar by weight. The second solution was what percent sugar by weight?
A.34%
B.24%
C.22%
D.19%
Answer: D.19%
Explanation: Say the second solution (which was 1/4 th of total) was x% sugar, then 3/4*0.15+1/4*x=1*0.16 --> x=0.19. Alternately you can consider total solution to be 100 liters and in this case you'll have: 75*0.15+25*x=100*0.16 --> x=0.19.
Answer: D.
Question: An investor bought a 1-year $6,000 certificate of deposit that paid interest at an annual rate of 10 percent compounded semiannually. What was the total amount of interest paid on this certificate at maturity?
A.$325
B.$600
C.$615
D.$1000
Answer: C.$615
Explanation: 1.05*1.05*6000 = $6615
The answer is C.
Question: A man cheats while buying as well as while selling. While buying he takes 10% more than what he pays for and while selling he gives 20% less than what he claims to. Find the profit percent, if he sells at 9.09% below the cost price of the claimed weight.
A.19.81%
B.20%
C.37.5%
D.25%
Answer: D.25%
Explanation: (1 + m1%)(1 + m2%)(1 - d%) = (1 + p%)
11/10 * 5/4 * 10/11 = (1 + p%)
profit % = 25%
ANSWER:D
Question: A bag contains 7 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is?
A.7/15
B.7/16
C.7/19
D.7/13
Answer: A.7/15
Explanation: Drawing two balls of same color from seven green balls can be done in 7C2 ways.
Similarly from eight white balls two can be drawn in ⁸8C2 ways.
= 7/15
Answer: A
Question: During 2005, a company produced an average of 2,500 products per month. How many products will the company need to produce from 2006 through 2008 in order to increase its monthly average for the period from 2005 through 2008 by 300% over its 2005 average?
A.450,000
B.475,000
C.500,000
D.525,000
Answer: A.450,000
Explanation: Company produced 12*2500 = 30,000 products in 2005. If company produces X products from 2006 to 2008, then total amount of product produced in 4 years (2005 through 2008) is X+30,000. The gives the average of (X+30,000)/4.
This average needs to be 200% higher than that in 2005. In math terms, 30,000+300%(30,000) = 120,000. So:
(X+30,000)/4 = 120,000
X+30,000 = 480,000
X = 450,000
The answer is A.
Question: By selling 150 mangoes, a fruit-seller gains the selling price of 30 mangoes. Find the gain percent?
A.22
B.25
C.77
D.88
Answer: B.25
Explanation: SP = CP + g
150 SP = 150 CP + 30 SP
120 SP = 150 CP
120 --- 30 CP
100 --- ? => 25%
Answer:B
Question: A qualified worker digs a well in 5 hours. He invites 2 apprentices, both capable of working 3/4 as fast and 3 trainees both working 1/5 as fast as he. If the five-person team digs the same well, how much time does the team need to finish the job?
A.1:56
B.1:34
C.1:44
D.1:54
Answer: A.1:56
Explanation: and answer is correct as you have calculated : 100/48 hrs that is 1.88 hrs - 1 hr and 56 minutes, so 1:56, hence, A
Question: A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train?
A.76 Kmph
B.88 Kmph
C.72 Kmph
D.55 Kmph
Answer: C.72 Kmph
Explanation: Length = Speed * time
Speed = L/T
S = 400/20
S = 20 M/Sec
Speed= 20*18/5 (To convert M/Sec in to Kmph multiply by 18/5)
Speed = 72 Kmph
Answer: C
Question: A person crosses a 500m long street in 5 minnutes. What is his speed in km per hour?
A.6.01km/hr
B.7.2km/hr
C.9km/hr
D.2.5km/hr
Answer: A.6.01km/hr
Explanation: Speed = 500/5*60 = 1.67m/sec
=1.67*18/5
=6.01km/hr
Answer is A
Question: If 8 workers can build 8 cars in 8 days, then how many days would it take 4 workers to build 4 cars?
A.2
B.4
C.8
D.12
Answer: C.8
Explanation: 8 workers can build 1 car per day on average.
1 worker can build 1/8 of a car per day.
4 workers can build 1/2 car per day.
The time required to build 4 cars is 4 / (1/2) = 8 days
The answer is C.
Question: A batsman in his 12th innings makes a score of 92 and thereby increases his average by 2 runs. What is his average after the 12th innings if he had never been ‘not out’?
A.42
B.43
C.70
D.45
Answer: C.70
Explanation: Let ‘x’ be the average score after 12 th innings
⇒ 12x = 11 × (x – 2) + 92
∴ x = 70
Answer C
Question: What is the remainder of G=3^19 when divided by 10?
A.0
B.1
C.5
D.7
Answer: D.7
Explanation: I looked for patterns:
^2 - units digit 9
^3 - units digit 7
^4 - units digit 1
^5 - units digit 3
hence, we can see that when raised to a power which is multiple of 4, the units digit is 1, and when to an even power not multiple of 4, the units digit is 9
and we can then see:
^16 - units digit 1, or
^18 - units digit 9
and ^19 - units digit 7
therefore, G=when divided by 10, the remainder must be 7.D
Question: A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
A.1000
B.2996
C.2686
D.1028
Answer: A.1000
Explanation: 90%
104%
--------
14% ---- 140
100% ---- ? => Rs.1000
Answer: A
Question: The owner of a furniture shop charges his customer 18% more than the cost price. If a customer paid Rs. 6000 for a computer table, then what was the cost price of the computer table?
A.Rs.6289
B.Rs.6298
C.Rs.6290
D.Rs.5084
Answer: D.Rs.5084
Explanation: CP = SP * (100/(100 + profit%))
= 6000(100/118) = Rs.5084.
Answer: D
Question: A clock is set at 5 a.m. The clock loses 16 minutes in 24 hours. What will be the true time when the clock indicates 10 p.m. on 4th day?
A.9 p.m
B.10 p.m
C.11 p .m
D.12 p.m
Answer: C.11 p .m
Explanation: Solution
Time from 5 a.m on a day to 10 p.m.on 4th day	= 89 hours.
Now 23 hrs 44 min. of this clock	= 24 hours of correct clock.
Therefore 356 / 15 hrs of this clock	= 24 hours of correct clock.
89 hrs of this clock	= (24 x 15/356 x 89) hrs
= 90 hrs
So, the correct time is	11 p.m.
Answer C
Question: If B is the center of the circle in the figure above and the area of the shaded region is 16π, what is the length of arc ADC?
A.4
B.4π
C.16
D.8π
Answer: B.4π
Explanation: Area of 1/4th of the circle is 16pi
so area of the circle=64 pi
radius of circle=8 units
circumference= 2 pi* radius= 16 pi
1/4th the circumference= required length of ADC= 4pi
ANS:B
Question: If $50,000,000 is the initial amount placed in an account that collects 7% annual interest, which of the following compounding rates would produce the largest total amount after two years?
A. compounding annually
B. compounding quarterly
C. compounding monthly
D. compounding daily
Answer: D. compounding daily
Explanation: This will produce the maximum yield as the interest accured each day will be added the very next day to the Principal amount for further computation of interest.
This process will be repeated every day till the amount matures
Compounding annually will give least returns
Answer = D
Question: Two trains 137 meters and 163 meters in length are running towards each other on parallel lines, one at the rate of 42 kmph and another at 48 kmpb. In what time will they be clear of each other from the moment they meet
A.8 sec
B.10 sec
C.12 sec
D.14 sec
Answer: C.12 sec
Explanation: Explanation:
Relative speed of the trains = (42 + 48) kmph = 90 kmph
= (90×5/18) m / sec = 25 m /sec.
Time taken by the trains to ‘pass each other
= Time taken to cover (137 + 163) m at 25 m /sec = (300/25) sec = 12 sec
Answer: Option C
Question: Rodrick mixes a martini that has a volume of 'n' ounces having 37% Vermouth and 60% Gin by volume. He wants to change it so that the martini is 25% Vermouth by volume. How many ounces of Gin must he add?
A.n/6
B.n/2
C.3n/5
D.5n/6
Answer: B.n/2
Explanation: total V G
1 ounce 0.37 0.6
n ounce 0.37n 0.6n -------------initial expression
lets say g ounces of gin is added to this mixture
n+g 0.37n 0.6n+g --------------final expression
given that after adding g ounces of gin , V should become 25% of the total volume.
=>Volume of V/total volume = 25/100
=> 0.37n /n+g = 1/4
=> 1.48n = n+g
=> g = n/2
Answer is B.
Note that after we add pure Gin, the volume of Vermouth will remain the same. Based on this set the equation:
0.37n=0.25(n+g) --> g=n/2
Answer: B.
Question: The ages of Smirthi and Samantha vary by 16 years, Six years ago, Deepika’s age was three times as that of Smirthi’s, find their current ages.
A.20
B.50
C.40
D.30
Answer: D.30
Explanation: D
30
Let Smirthi’s age = A years
So, Deepika’s age = (A + 16) years
Also, 3(A – 6) = A + 16 – 6 or, A = 14
Smirthi’s age = 14 years
and, Deepika’s age = 14 + 16
= 30 years
Question: What is the sum of two consecutive even numbers, the difference of whose squares is 84?
A.34
B.38
C.42
D.46
Answer: C.42
Explanation: EXPLANATION
Let the numbers be x and x + 2.
Then, (x + 2)2 – x2 = 84
4x + 4 = 84
4x = 80
x = 20.
The required sum = x + (x + 2) = 2x + 2 = 42.
Answer C
Question: Four friends, Patricia, Melyssa, Tania, and Cassandra, are pooling their money to buy a $1100 item. Patricia has three times as much money as Melyssa. Tania has $20 more than Patricia. Cassandra has 25% more than Tania. If they put all their money together and spend the $1100, they will have $19 left. How much money does Patricia have?
A.$275
B.$300
C.$400
D.$350
Answer: B.$300
Explanation: P= 3M ; T= P+20 ; C= 1.25(T)
P+M+T+C-1100=19
P+(1/3)P+P+20+1.25(P+20) = 1119
P+(1/3)P+P+20+1.25P+25=1119
P+(1/3)P+P+1.25P+45=1119
P+(1/3)P+P+1.25P=1074
3.58P=1074
P=300
Answer:B
Question: If (1/5)^m * (1/4)^3 = 1/(2*(10)^3), then m =
A.4
B.3
C.1
D.6
Answer: B.3
Explanation: 1/5^m *1/4^3= 2*1/ 2^3*5^3*8
2^3*5^3*8/4^3 =5^m or 5^3 =5^m
m=3
B
Question: A factory has three types of machines, each of which works at its own constant rate. If 7 Machine As and 11 Machine Bs can produce 305 widgets per hour, and if 8 Machine As and 22 Machine Cs can produce 600 widgets per hour, how many widgets could one machine A, one Machine B, and one Machine C produce in one 8-hour day?
A.400
B.440
C.550
D.625
Answer: B.440
Explanation: Let Machine A produce A widgets per hour. B produce B widgets per hour and C produce C widgets per hour.
7A+11B=305 ---(1)
8A+22C=600 ---(2)
Dividing (2) by 2
4A+11C=300.....(3)
Adding (1)(3)
11A+11B+11C = 605
A+B+C=55 per hour
So for eight hrs = 55*8 = 440 = Answer = B
Question: On multiplying a numberZ by 153, the result obtained was 102325. However, it is found that both the 2's are wrong. Find the correct result.
A.104345
B.107375
C.108385
D.109395
Answer: D.109395
Explanation: The only thing you actually know about the correct number Z is that it is divisible by 153 and has 5 as a factor.
You should immediately try to find the factors of 153 and look for them in the options.
153 = 9*17
Divisibility by 9 is easy to check. Only (D) satisfies.
Question: 24 lbs of coffee P and 25 lbs of coffee V are mixed to make coffee X and Y. The ratio of P to V in coffee X is 4 to 1, in Y is 1 to 5. How much of P is contained in the mixture X?
A.10
B.20
C.30
D.40
Answer: B.20
Explanation: Let there be 4x lbs of P in X and x lbs of V in X
Let there be y lbs of P in Y and 5y lbs of V in Y
Now total P is
4x + y = 24
and total Q is
x + 5y = 25
Solving the two equations, we get
x = 5 and y = 4
Mixture X has 4x lbs of P = 4x = 4 * 5 = 20lbs
ANSWER:B
Question: A started a business with an investment of Rs. 70000 and after 6 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 26000, then the share of B is?
A.12000
B.24000
C.24005
D.24009
Answer: A.12000
Explanation: Ratio of investments of A and B is (70000 * 12) : (120000 * 6) = 7 : 6
Total profit = Rs. 26000
Share of B = 6/13 (26000) = Rs. 12000
Answer: A
Question: The average of first five prime numbers greater than 20 is?
A.10
B.32.2
C.30
D.40
Answer: B.32.2
Explanation: 23 + 29 + 31 + 37 + 41 = 161/5 = 32.2
ANSWER:B
Question: 3550 - (1002 / 20.04) = ?
A.2984
B.2983
C.3500
D.2981
Answer: C.3500
Explanation: 3550-50 = 3500
Answer : C
Question: If 5^11 * 4^6 = 2 * 10^n, what is the value of n?
A.11
B.21
C.22
D.23
Answer: A.11
Explanation: My attempt:
5^(11) * 4^(6) = 2*10^p
5^(11) * 2 ^ (12) = 2 * (2*5)^p
5^(11) * 2 ^ (12) = 2 * 2^(p) * 5^(p)
5^(11) * 2 ^ (12) = 2^(p+1) * 5^(p)
=> (p+1) = 12
=> p = 11
Answer: 11 (A)
Question: The banker's discount on a bill due 4 months hence at 15% is Rs.420. The discount is
A.Rs. 400
B.Rs. 360
C.Rs. 480
D.Rs.320
Answer: A.Rs. 400
Explanation: Solution
T.D	= B.D x 100/ 100+(RxT)
= Rs[420x100/100+(15x1/3)]
= Rs.(420x100 / 105)
= Rs.400.
Answer A
Question: Which of the following equations represents a line that is perpendicular to the line described by the equation 4x + 3y = 12?
A.3x + 4y = 11
B.3x – 4y = 12
C.5y – 3x = 6
D.1.5y + 2x = 8
Answer: B.3x – 4y = 12
Explanation: Perpendicular lines have slopes which are negative reciprocals of each other.
The line 4x + 3y = 12 in slope-intercept form is y = -(4/3)x + 4
The slope of this line is -4/3.
The slope of a perpendicular line is 3/4.
3x - 4y = 12 in slope-intercept form is y = (3/4)x - 3
The answer is B.
Question: Convert 500 miles into meters?
A.784596
B.845796
C.804670
D.784596
Answer: C.804670
Explanation: 1 mile = 1609.34 meters
500mile = 500*1609.34 = 804670 meters
Answer is C
Question: The no. of girls in a class are seven times the no. of boys, which value cannever be the of total students?
A.3
B.5
C.8
D.9
Answer: C.8
Explanation: Let the boys are X, then girls are 7X, total = X+7X = 8X
So it should be multiple of 8, 30 is not a multiple of 8.
C
Question: The average height of 50 pupils in a class is 150 cm. Six of them whose height is 146 cm, leave the class and six others whose average height is 156 cm, join. The new average height of the pupils of the class (in cm) is ?
A.287 cm
B.151 cm
C.276 cm
D.151.2 cm
Answer: D.151.2 cm
Explanation: Total height = 150 * 50 = 7500 cm.
New average = [7500 - 6 * 146 + 6 * 156 ] / 50
= 151.2 cm.
Answer:D
Question: Square A has an area of 121 square centimeters. Square B has a perimeter of 16 centimeters. If square B is placed within square A and a random point is chosen within square A, what is the probability the point is not within square B?
A.9/25
B.1/5
C.16/121
D.105/121
Answer: D.105/121
Explanation: I guess it's mean that square B is placed within square Aentirely.
Since, the perimeter of B is 16, then its side is 16/4=4 and the area is 4^2=16;
Empty space between the squares is 121-16=105 square centimeters, so if a random point is in this area then it won't be within square B: P=favorable/total=105/121.
Answer: D.
Question: Speed of a boat in standing water is 9kmph and speed of the stream is 1.5kmph. A man can rows to a place at a distance of 105km and comes back to the starting point. The total time taken by him is?
A.12hours
B.24hours
C.36hours
D.10hours
Answer: B.24hours
Explanation: Speed upstream = 7.5kmph
Speed downstream = 10.5kmph
Total time taken = 105/7.5 + 105/10.5 = 24 hours
Answer is B
Question: Simran started a software business by investing Rs. 50,000. After six months, Nanda joined^her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran's share in the profit ?
A.Rs. 9423
B.Rs. 10,250
C.Rs. 12,500
D.None of these
Answer: D.None of these
Explanation: Explanation:
Simran : Nanda = (50000 * 36) : (80000 * 30) = 3 : 4.
âˆ´
Simran's share = Rs.
(24500âˆ—3/7)
= Rs. 10500.
ANSWER IS D
Question: Look at this series: 80, 10, 70, 15, 60, ... What number should come next?
A.20
B.23
C.25
D.30
Answer: A.20
Explanation: This is an alternating addition and subtraction series. In the first pattern, 10 is subtracted from each number to arrive at the next. In the second, 5 is added to each number to arrive at the next.
ANSWER A
Question: A thief steals a car at 2.30pm and drives it at 60kmph.the
theft is discovered at 3pm and the owner sets off in another car
at 75kmph when will he overtake the thief
A.3.3 pm
B.5.5 pm
C.4.9 pm
D.5 pm
Answer: D.5 pm
Explanation: Let the thief is overtaken x hrs after 2.30pm
distance covered by the thief in x hrs = distance covered by
the owner in x-1/2 hr
60x = 75 ( x- ½)
x= 5/2 hr
thief is overtaken at 2.30 pm + 2 ½ hr = 5 pm
Answer is D.
Question: Sam invested Rs. 15000 @ 10% per annum for one year. If the interest is compounded half-yearly, then the amount received by Sam at the end of the year will be?
A.16537.59
B.16537.54
C.16537.5
D.16537.52
Answer: C.16537.5
Explanation: P = Rs. 15000; R = 10% p.a. = 5% per half-year; T = 1 year = 2 half-year
Amount = [15000 * (1 + 5/100)2]
= (15000 * 21/20 * 21/20) = Rs. 16537.50
Answer: C
Question: A searchlight on top of the watch-tower makes 3 revolutions per minute. What is the probability that a man appearing near the tower will stay in the dark for at least 10 seconds?
A.1/4
B.1/3
C.1/2
D.2/3
Answer: C.1/2
Explanation: 3 revolutions per minute = 1 revolution every 20 seconds
So no matter what anybody appearing at the tower cannot stay in the dark for more than 20 seconds. This will be our total number of possibilities i.e the denominator.
P(man in dark for at least 5 seconds) = 1 - P (man in dark for max of 10 seconds) = 1 - 10/20 = 1 - 1/2 = 1/2
or the other way would be:
P(man in dark for at least 5 seconds) is like saying he can be in dark for 5,6,7...all the way to 20 seconds because that is the max. In this approach it would be 10/20 seconds = 1/2.
Answer is C
Question: A number when divided by a divisor leaves a remainder of 24.
When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor?
A.29
B.33
C.37
D.43
Answer: C.37
Explanation: Let the original number be 'a'
Let the divisor be 'd'
Let the quotient of the division of aa by dd be 'x'
Therefore, we can write the relation as a/d = x and the remainder is 24.
i.e., a=dx+24 When twice the original number is divided by d, 2a is divided by d.
We know that a=dx+24. Therefore, 2a = 2dx + 48
The problem states that (2dx+48)/d leaves a remainder of 11.
2dx2dx is perfectly divisible by d and will therefore, not leave a remainder.
The remainder of 11 was obtained by dividing 48 by d.
When 48 is divided by 37, the remainder that one will obtain is 11.
Hence, the divisor is 37.
C)
Question: A, B and C can do a work in 90, 30 and 45 days respectively. If they work together, in how many days will they complete the work?
A.15 days
B.65 days
C.16 days
D.17 days
Answer: A.15 days
Explanation: One days's work of A, B and C = 1/90 + 1/30 + 1/45
= (1 + 3 + 2)/90 = 1/15
A, B and C together can do the work in 15 days.
Answer:A
Question: The average age of an adult class is 40years. 12new students with an avg age of 32years join the class. Thereforedecreasing the average by 4year. Find what was theoriginal strength of class?
A.10
B.12
C.16
D.20
Answer: B.12
Explanation: Let original strength = y
Then , 40y + 12 x 32 = ( y + 12) x 36
⇒ 40y + 384 = 36y + 432
⇒ 4y = 48
∴ y = 12
B
Question: Ravi can do a piece of work in 25 days while Prakash can do it in 40 days. In how many days will they finish it together?
A.15 5/13 days
B.16 1/13 days
C.17 1/13 days
D.17 7/15 days
Answer: A.15 5/13 days
Explanation: 1/25 + 1/40 = 13/200
200/13
= 15 5/13 days
Answer: A
Question: Once a week, Susan collects wildflowers around her neighborhood to display in the vase on her family's kitchen table. When her dog Rocko tags along, she gets distracted by his barking, so she collects about 3/4 as many flowers as she usually would when she comes alone. When her father comes along, he collects twice as many as she does. Last week, Susan brought Rocko with her and collected 39 flowers. If Susan and her father go next week without Rocco, how many total flowers will they bring home?
A.156
B.104
C.52
D.78
Answer: A.156
Explanation: X equals Number of Flowers Susan collects while alone
Knowing 39 is 3 equal fourths of X, I can divide 39 by 3 to find the value of each fourth.
1/4 of x = 39 divided by 3
1/4 of x = 13
x = 13 x 4
x = 52
Susan's father collects twice as many flowers as Susan, which would be 52 x 2 = 104
Final calculation is Susan's flowers plus her father's flowers, 52 + 104 = 156 flowers
The correction answer is option A) 156