RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: David was born 8 years after his father's marriage. His mother is 4 years younger than his father but 30 years older than David who is 8 years old. At what age did the father get married ?
A.24 years
B.26 years
C.23 years
D.20 years
Answer: B.26 years
Explanation: Explanation:
David's present age = 8 years.
His mother's present age = (30 + 8) years = 38 years.
His father's present age = (38 + 4) years = 42 years.
His father's age at the time of David's birth = (42 - 8) years = 34 years.
Therefore David's father's age at the time of marriage = (34 - 8) years = 26 years.
Answer: B
Question: I sold a book at a profit of 10%. Had I sold it for $150 more, 15% would have been gained. Find the cost price?
A.$2000
B.$2500
C.$3000
D.$3120
Answer: C.$3000
Explanation: 115% of cost - 110% of cost = $150
5% of cost = $150
cost = 150*100/5 = $3000
Answer is C
Question: A marble shop contains 6 blue marbles, 6 red marbles, and 6 green marbles. If 4 marbles are purchased at random from the shop, what is the probability that the 4 marbles will be the same color?
A.1/68
B.60/68
C.13/68
D.13/48
Answer: A.1/68
Explanation: It doesn't matter which type of card you choose, so:
Probability of choosing 1st card: 1
Probability of choosing 2nd card of the same type: 5/17
Probability of choosing 3rd card of the same type: 4/16
Probability of choosing 4th marble of the same type: 3/15
Multiply and you get 1/68
Answer A.
Question: Faiza has 8 purses, she gives 3 purse as gift. Now how many purse she have in that?
A.2
B.5
C.11
D.9
Answer: B.5
Explanation: 8-3=5. Answer is B
Question: In a certain diving competition, 5 judges score each dive on a scale from 1 to 10. The point value of the dive is obtained by dropping the highest score and the lowest score and multiplying the sum of the remaining scores by the degree of difficulty. If a dive with a degree of difficulty of 3.2 received scores of 7.5, 7.8, 9.0, 6.0, and 8.5, what was the point value of the dive?
A.68.8
B.73.6
C.75.2
D.76.16
Answer: D.76.16
Explanation: Degree of difficulty of dive = 3.2
Scores are 6.0 , 7.5 , 8.0 , 8.5 and 9.0
We can drop 6.0 and 9.0
Sum of the remaining scores = (7.5+7.8+8.5)= 23.8
Point of value of the dive = 23.8*3.2 =76.16
Answer D
Question: A team of eight entered for a shooting competition. The best marks man scored 85 points. If he had scored 92 points, the average scores for. The team would have been 84. How many points altogether did the team score?
A.23/35
B.23/32
C.23/329
D.23/29
Answer: A.23/35
Explanation: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles.
Probability that at least one green marble can be picked in the random draw of two marbles = Probability that one is green + Probability that both are green
= (⁶C₁ * ⁹C₁)/¹⁵C₂ + ⁶C₂/¹⁵C₂
= (6 * 9 * 2)/(15 * 14) + (6 * 5)/(15 * 14) = 36/70 + 1/7
= 46/70 = 23/35
Answer: A
Question: In what time will a train 100 m long cross an electric pole, it its speed be 144 km/hr?
A.2.5 sec
B.1.3 sec
C.7.6 sec
D.10 sec
Answer: A.2.5 sec
Explanation: Answer: Option A
Speed = 144 * 5/18 = 40 m/sec
Time taken = 100/40 = 2.5 sec.
Question: Convert 250 inches into centimeter?
A.635cm
B.620cm
C.650cm
D.610cm
Answer: A.635cm
Explanation: 1 inch = 2.54cm
250 inches = 250*2.54 = 635cm
Answer is A
Question: If 12 people contributed a total of $20.00 toward a gift and each of them contributed at least $1.00, then the maximum possible amount any one person could have contributed is
A. $1.00
B. $1.25
C. $5.00
D. $9.00
Answer: D. $9.00
Explanation: D for me
11 people with 1$ each -> maximum = 9
Question: The ratio of sodium chloride to ammonium in 100 kg of mixed ammonium normally used by three chemists is 7: 25. The amount of sodium chloride to be added to 100 kg of mixed ammonium to make the ratio 9 :25 is
A.5 kg
B.6.625 kg
C.6.25 kg
D.6.35 kg
Answer: C.6.25 kg
Explanation: sodium chloride in 100 kg = 7/32 x 100 = 21.875 kg
ammonium in 100 kg = 25/32 x 100 = 78.125 kg
Now 78.125 is 25 parts out of (25 + 9) = 34 parts.
Hence 9 parts = 9/25 x 78.125 = 28.125
Amount to be added = 28.125 - 21.87 5= 6.25 Kg
ANSWER:C
Question: A merchant gets a 5% discount on each meter of fabric he buys after the first 2,000 meters and a 7% discount on every meter after the next 1,500 meters. The price, before discount, of one meter of fabric is $2, what is the total amount of money the merchant spends on 4,500 meters of fabric?
A.$8,617
B.$8,710
C.$8,810
D.$8,835
Answer: B.$8,710
Explanation: for first 2000 metres he does not get any discount
amount = 2*2000 = $4000
for next 1500 metres he gets 5% discount
amount = 2*1500 - (1/20)*3000 = $2850
for the nest 1000 metres he gets 7% discount
amount = 2*1000 - 7*20 = $1860
total amount = $4000 + $2850 + $1860 = $8710
ANSWER:B
Question: There are equal numbers of male and female horses in a ranch.The number of brown horses is 30% more than the number of female brown horses.What percentage of female horses are brown if the total number of male horse is ten times more than the number of brown male horses.
A.30
B.33.3
C.55.1
D.32.1
Answer: B.33.3
Explanation: Since we are dealing in percentage let us pick 100 as the number of brown female horses.
That means that the total number of brown horses is= 130 (30% more),
therefore the number of brown male horses is 30.
The total number of male horses is 10x the number of brown male= 30*10=300 male horses.
female horses are 50% of the horses, and because there are 300 male horses, then there must also be 300 female horses.
Therefore percentage of female horses that are brown= 100/300*100=33.3
Correct option is B
Question: Which one of the following is a composite number?
A.31
B.61
C.85
D.73
Answer: C.85
Explanation: 85 is divisible by 5,17. So, it is a composite number.
C
Question: Suppose that f(x) is a function such that for every real number x,i)f(x)+f(1-x) = 12 and (ii) f(1+x) = 3+f(x). Then f(x)+f(-x)
must equal
A.8
B.9
C.10
D.11
Answer: B.9
Explanation: Since (ii) holds for every real number x, it will remain valid if we replace x with
-x. Therefore, f(1-x) = 3+f(-x). Now, from (i), 12 = f(x)+f(1-x) = f(x)+3+f(-x)
so that f(x) + f(-x) = 12-3 = 9. (Observe that f(x) = 3x + 4 satisfies the conditions
in the problem.)
correct answer B
Question: A and B can do a work in 15days, B and C in 30days, C and A in 45days. If A,B and C work together , they will complete the work in?
A.10days
B.16days
C.20days
D.25days
Answer: B.16days
Explanation: A+B 1day work = 1/15
B+C 1day work = 1/30
C+A 1day work = 1/45
Adding we get 2(A+B+C) = 1/15 + 1/30 + 1/45 = 11/90
A+B+C 1 day work = 11/180
A,B,C can finish the work in 180/11 days = 16days approximately
Answer is B
Question: In 1996, the property tax of a community is increased by 6% over the 1995 tax.
An additional surcharge of $200 is also added for a special project.
If the Petersons' 1996 tax totals $2108, find their property tax for the year 1995
A.1600
B.1800
C.1900
D.2000
Answer: B.1800
Explanation: Tax for the year 1996= 2108
Surcharge add : 200
ie 2000-200= 1800
1800*6%=108+2000=2108
so the answer is B
Question: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?
A.13 km/hr
B.50 km/hr
C.17 km/hr
D.18 km/hr
Answer: B.50 km/hr
Explanation: Speed of the train relative to man = (125/10) m/sec
= (25/2) m/sec. [(25/2) * (18/5)] km/hr
= 45 km/hr. Let the speed of the train be x km/hr. Then, relative speed
= (x - 5) km/hr. x - 5 = 45 ==> x
= 50 km/hr.
Answer:B
Question: If the cost price of 40 articles is equal to the selling price of 25 articles, what is the % profit or loss made by the merchant?
A.25% loss
B.25% profit
C.20% loss
D.60% profit
Answer: D.60% profit
Explanation: Let the cost price of 1 article be $1.
Therefore, cost price of 40 articles = 40 * 1 = $40
The selling price of 25 articles = cost price of 40 articles = $40.
Now, we know the selling price of 25 articles. Let us find the cost price of 25 articles.
Cost price of 25 articles = 25 * 1 = $25.
Therefore, profit made on sale of 25 articles = Selling price of 25 articles - cost price of 25 articles
= 40 - 25 = $15.
As the profit is in the positive, the merchant has made a profit of $15.
Therefore, % loss = loss/cp * 100
% loss = 15/25 * 100 = 60%profit.
D
Question: 27 is a perfect cube. When x is added to the prime factor of 27, the result is a prime number. What is x?
A.1
B.3
C.5
D.8
Answer: D.8
Explanation: 27 is 3*3*3
then
A 3+1 = 4
B 3+3 = 6
C 3+5 = 8
D 3+8 = 11
E 3+11= 14
here D is the only addition that gives a prime number.
Question: If 12 men do a work in 80 days, in how many days will 20 men do it?
A.18 days
B.38 days
C.42 days
D.48 days
Answer: D.48 days
Explanation: 12 * 80 = 20 * x
x = 48 days
ANSWER:D
Question: A life insurance company insured 25,000 young boys, 14,000 young girls and 16,000 young adults. The probability of death within 10 years of a young boy, young girl and a young adult are 0.02, 0.03 and 0.15 respectively. One insured person dies. What is the probability that the dead person is a young boy?
A.36/165
B.25/166
C.26/165
D.32/165
Answer: B.25/166
Explanation: The number of young boys that will die = 0.02 x 25,000 = 500
The number of young girls that will die = 0.03 x 14,000 = 420
The number of young adults that will die = 0.15 x 16,000 = 2400
The required probability = The number of young boys who will die / The total number of people who will die.
= 500 / (500 + 420 + 2400) = 25/166
ANSWER:B
Question: If a function f is defined by f(x)= -1/x for all non zero numbers x. If f(a) = -1/2 and f(ab) = 1/8 then b= ?
A.-1/4
B.1/4
C.4
D.-4
Answer: D.-4
Explanation: f(a) = -1/2 = -1/a, and thus a = 2
f(ab) = 1/8, and thus ab = -8
2b = -8
b = -4
The answer is D.
Question: The equal amounts of money are deposited in two banks each at 15% per annum for 3.5 years and 5 years respectively. If the difference between their interests is Rs.144, find the each sum?
A.Rs.648
B.Rs.640
C.Rs.629
D.Rs.620
Answer: B.Rs.640
Explanation: (P*5*15)/100 - (P*3.5*15)/100 = 144
75P/100 – 52.5P/100 = 144
22.5P = 144 * 100
=> P = Rs.640
Answer: B
Question: What is the place value of 9 in the numeral 2934?
A.600
B.900
C.700
D.760
Answer: B.900
Explanation: Option 'B'
9 * 100 = 900
Question: A certain football team played seven games and scored an average of 5 goals per game. If, in the team’s first five games, it scored 5, 4, 2, 5, and 4 goals, what was the average (arithmetic mean) number of goals scored over the last two games?
A.5
B.1
C.2
D.7.5
Answer: D.7.5
Explanation: Avg goals for total of 7 games = 5
So A+B+C+D+E+F+G/7=5
and A+B+C+D+E+F+G = 35
Given A+B+C+D+E = 20
So F+G = 15
So average (arithmetic mean) number of goals scored over the last two games is 15/2 = 7.5
Correct answer is D) 7.5
Question: The cost price of 13 articles is equal to the selling price of 11 articles. Find the profit percent?
A.18 9/11%
B.18 2/11%
C.18 2/81%
D.19 2/11%
Answer: B.18 2/11%
Explanation: 13 CP = 11 SP
11 --- 2 CP
100 --- ? =>18 2/11%
Answer: B
Question: The weight of four dogs is determined to be 25 pounds, 31 pounds, 32 pounds and 28 pounds respectively. The weight of a fifth dog is determined to be y pounds. If the average (arithmetic mean) weight of the first four dogs is the same as that of all five dogs what is the value of y?
A.31
B.29
C.35
D.37
Answer: B.29
Explanation: Total weight of the 4 dogs = (25+31+32+28) = 132
Avg = 116/4 = 29
Total weight of 5 dogs = 116+y or 4(29)+y
Average of 5 dogs as per Question = 29
Equation:
4(29) + y = 5 (29), or y = 29.
Choose B
Question: If by selling an article for Rs.60, a person loses 1/7 of money, what would he have gained or lost % by selling it for Rs.77?
A.5%
B.10%
C.13%
D.14%
Answer: B.10%
Explanation: Sol. CP - = EC7 = 70 1-7 6 77-70 % Profit = 100 = 10%
B
Question: In a certain math department, students are required to enroll in either Calculus or Trigonometry, each of which is offered in beginner and advanced courses. The number of students enrolled in Trigonometry is 50% greater than the number of students enrolled in Calculus, and 70% of Calculus students are enrolled in the beginner course. If 4/5 of students are in the beginner courses, and one student is selected at random, what is the probability that an advanced Trigonometry student is selected?
A.8%
B.16%
C.20%
D.24%
Answer: A.8%
Explanation: Let x be the number of students in calculus.
Then the number of students in trigonometry is 1.5x
The number of students on beginner calculus is 0.7x
The number of students in beginner trigonometry is 4/5*(2.5x) - 0.7x = 1.3x
The number of students in advanced trigonometry is 0.2x
The percentage in advanced trigonometry is 0.2x / 2.5x = 8%
The answer is A.
Question: When a merchant imported a certain item, he paid a 7 percent import tax on the portion of the total value of the item in excess of $1,000. If the amount of the import tax that the merchant paid was $94.50, what was the total value of the item?
A.$2,350
B.$2,850
C.$3,250
D.$3,400
Answer: A.$2,350
Explanation: Let x be the value in excess of $1,000.
0.07x = 94.5
x = $1,350
The total value was $1,350 + $1,000 = $2,350.
The answer is A.
Question: A container contains 40 litres of milk. From this container 4 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container.
A.26.34 litres
B.27.36 liters
C.28 litres
D.29.16 litres
Answer: D.29.16 litres
Explanation: Solution
Amount of milk left after 3 operations
[40 (1-4/40)3] litres = (40x9/10x9/10x9/10)= 29.16 litres
Answer D
Question: If the average of 744, 745, 747, 748, 749, 752, 752, 753, 755 and x is 750, what is the value of x?
A.750
B.752
C.754
D.755
Answer: D.755
Explanation: Sum of the deviations of the numbers in the set from the mean is always zero
744, 745, 747, 748, 749, 752, 752, 753, 755
mean is 750
so the list is -6-5-3-2-1+2+2+3+5... this shud total to zero
but this is -5 , hence we need a number that is 5 more than the mean to get a +5 and make it zero
hence the answer is 750 + 5 =755
D
Question: Two bullet trains of equal lengths take 10 seconds and 30 seconds respectively to cross a telegraph post. If the length of each bullet train be 120 metres, in what time (in seconds) will they cross each other travelling in opposite direction?
A.13 sec.
B.14 sec.
C.12 sec.
D.15 sec.
Answer: D.15 sec.
Explanation: Speed of the first bullet train = 120/10 m/sec = 12 m/sec.
Speed of the second bullet train = 120/30 m/sec = 4 m/sec.
Relative speed = (12 + 4) = 16 m/sec.
Required time = (120 + 120)/16 sec = 15 sec.
D
Question: 30 is to be divided into two parts such that the sum of 10 times the first and 22 times the second is 780. The bigger part is :
A.33
B.34
C.26
D.10
Answer: D.10
Explanation: Explanation:
Let the two parts be (30- x) and x.
Then, 10 (30 - x) + 22x = 780
=> 12x = 480
=> x = 40.
Bigger part = (30- x) = 10.
Answer: D) 10
Question: Find the least number which when divided by 20,25,35,40 leaves remainder 14,19,29,34 respectively.
A.1394
B.1450
C.1245
D.2564
Answer: A.1394
Explanation: The difference of 20-14 = 6 , 25-19 = 6 , 35-29 = 6 , 40-34 = 6
LCM of 20,25,35,40 = 1400
Required number = 1400 - 6 = 1394
Answer is A
Question: Two trains are running in opposite directions with the same speed. If the length of each train is 180 m and they cross each other in 12 sec, then the speed of each train is?
A.54
B.31
C.36
D.25
Answer: A.54
Explanation: Let the speed of each train be x m/sec.
Then, relative speed of the two trains = 2x m/sec.
So, 2x = (180 + 180)/12 => x = 15
Speed of each train = 15 m/sec.
= 15 * 18/5 =54 km/hr.
Answer: Option A
Question: In a party, there are rows arranged with 12,20 and 30 chairs and there were 3 left in all the cases. When there were 11 rows. There were no chair left. If 30 chairs were added. Then what will be the reminder?
A.8
B.9
C.10
D.11
Answer: A.8
Explanation: LCM of 12,20,30 is 120.so the number is in the form of 120x+3 which is divisible by 11,by placing x=3, we get 363 which is divisible by 11 and the multiple of 120 when 3 is subtracted from 363.so the no. is 363.so when 30 is added to it and is divided by 11 we get remainder as 8
ANSWER:A
Question: David leaves home everyday at 4 p.m to pick his son from school and returns home at 6 p.m. One day, the school was over at 4 p.m and the son started walking home from school. David, unaware of this, starts from home as usual and meets his son on the way and returns home with him 15 minutes early. If the speed of David is 30 km\hr, find the speed of his son.
A.15km/hr
B.6 km/hr
C.4.28 km/hr
D.9 km/hr
Answer: C.4.28 km/hr
Explanation: David leaves home everyday at 4 p.m to pick his son from school and returns home at 6 p.m. One day, the school was over at 4 p.m and the son started walking home from school. David, unaware of this, starts from home as usual and meets his son on the way and returns home with him 15 minutes early. If the speed of David is 30 km\hr, find the speed of his son.
The distance from home to school is 30 km. The round trip distance = 60 km. Because he returns home 15 minutes early, I thought it might be easier to break his trip up into 8 identical 15 minute blocks, each of which he traveled at 7.5 km/hour.
Because we are dealing with a round trip here,David would have stopped 7.5 minutes short of the school. This means he traveled Distance=rate* time .5Km/hour*52.5 minutes or 26.25 KM. His son therefore traveled 3.75km/hour by the time he met his dad at 4:52.5. It took the son 52.5 minutes to travel 3.75 km. Because we are trying to find the son's rate per hour (i.e. 60 minutes) and we have his speed for 52.5 minutes it's best to convert to km/minute then multiply by 60 to get km/hour
3.75km/52.5 = .07 km/minute
.07km/minute*60 minutes = 4.28 km/hour.
Answer: C. 4.28 km/hr
Question: If the time is currently 1:30pm, what time will it be in exactly 479 hours?
A.12:30am
B.1:30am
C.12:30pm
D.2:30pm
Answer: C.12:30pm
Explanation: Every 24 hours will bring us to the same 1:30pm. 480 is divisible by 24 (20*24=480), so if it were 480 hours we would have 1:30pm, but since it's 479 hours then it will be 1 hour less, so 12:30pm.
Answer: C.
Question: A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is:
A.120 kmph
B.150 kmph
C.50 kmph
D.80 kmph
Answer: A.120 kmph
Explanation: Let speed of the car be x kmph.
Then, speed of the train =	150/100x	= 3/2 x	kmph.
75/x - 75/(3/2)x = 125/10 x 60
75/x	-50/x = 5/24
x =	25 x24/5	= 120 kmph.
answer :A
Question: The average of five consecutive odd numbers is 61. What is the difference between the highest and lowest numbers ?
A.7
B.8
C.5
D.4
Answer: B.8
Explanation: Let the numbers be x, x + 2, x + 4, x + 6 and x + 8.
Then [x + (x + 2) + (x + 4) + (x + 6) + (x + 8) ] / 5 = 61.
or 5x + 20 = 305 or x = 57.
So, required difference = (57 + 8) - 57 = 8
Answer: B
Question: Given that 1.75 x 10(power 8), Which of the following options is equal to it?
A.171000000
B.172000000
C.176000000
D.175000000
Answer: D.175000000
Explanation: = 1.75 x 10(power 8)
= 1.75 x 100000000
= 175000000.
Answer is D.
Question: The length of a rectangular landscape is 4times its breadth. There is a playground in it whose area is 1200 square mtr & which is 1/3rd of the total landscape. What is the length of the landscape?
A.110
B.115
C.120
D.130
Answer: C.120
Explanation: Sol. x * 4x = 3 * 1200
x = 30
Length = 4 * 30 = 120
C
Question: Two positive integers differ by 4, and sum of their reciprocals is 2. Then one of the numbers is
A.a) 3
B.2
C.c) 5
D.d) 21
Answer: B.2
Explanation: Algebraic approach:
Let n be the smaller integer => 1/n + 1/(n+4) = 2
or ((n+4)+n)/n(n+4) =2 or (n^2+4n)*2 =2n+4 or n=2 as n cannot be -negative
Solve for n => n=2. Hence,
B
Question: A Hotel has 6 employees; there are 5 female employees and 1 male employee. In how many ways can a 3-person committee be created if the committee must include the male employee?
A.10
B.12
C.15
D.24
Answer: A.10
Explanation: A Hotel has 6 employees;for male 1C1 = 1 ........ A
foe female = 5C2 = 10.........B
total = 10*1
= 10 - answer=A
Question: The average of 11 numbers is 10.9. If the average of first six is 10.5 and that of the last six is 11.4 the sixth number is?
A.9
B.9.2
C.10
D.11.5
Answer: D.11.5
Explanation: Explanation:
1 to 11 = 11 * 10.9 = 119.9
1 to 6 = 6 * 10.5 = 63
6 to 11 = 6 * 11.4 = 68.4
63 + 68.4 = 131.4 – 119.9 = 11.5
6th number = 11.5
D)
Question: If r and s are positive integers and r-s=6, which of the following has the greatest value W?
A.2r
B.2s
C.r +s
D.2r-s
Answer: A.2r
Explanation: The simplest way to do this is to assume values.
We are told that r and s are positive integers W.
Also, r-s = 6 => r = 6+s
Hence r is 6 more than s.
Let s be 10. Hence r = 16.
Option A: 2r = 2*16 = 32
Option B: 2s = 2 * 10 = 20
Option C: r + s = 16 + 10 = 26
Option D: 2r - s = 2(16) - 10 = 32 - 10 = 22
Option E: 2s - r = 2(10) - 16 = 20 - 16 = 4
Hence option A is the greatest.
Question: The current of a stream runs at the rate of 4 kmph. A boat goes 6 km and back to the starting point in 2 hours, then find the speed of the boat in still water?
A.6
B.7
C.8
D.4
Answer: C.8
Explanation: S = 4
M = x
DS = x + 4
US = x - 4
6/(x + 4) + 6/(x - 4) = 2
x = 8
Answer: C
Question: In a hostel, there is a meal for 120 men or 200 boys. If 150 boys have taken the meal, how many men will be catered to with remaining meal?
A.20
B.30
C.40
D.50
Answer: B.30
Explanation: Explanation :
There is a meal for 200 boys. 150 boys have taken the meal.
Remaining meal is to be catered to 50 boys.
Now, 200 boys 120 men.
So 50 boys => 120 x 50/200 = 30 men.
Answer : B
Question: If the average (arithmetic mean) of a and b is 160, and c – a = 200, what is the average of b and c?
A.260
B.250
C.150
D.225
Answer: A.260
Explanation: a+b/2 = 160
=> a+b = 320
a = c - 200...sub this value
c-200+b =320
=>c+b = 520
=>c+b/2 = 260
Answer : A
Question: Find the ratio in which rice at Rs.7.10 a kg be mixed with rice at Rs.5.70 a kg to produce a mixture worth Rs.6.30 a kg?
A.1 : 3
B.2 : 3
C.3 : 4
D.4 : 5
Answer: C.3 : 4
Explanation: Solution
Required ratio = 60 : 80 = 3 : 4
Answer C
Question: Share Rs.4800 among John, Jose & Binoy in the ration 2 : 4 : 6.Find the amount received by John?
A.900
B.980
C.1600
D.1240
Answer: C.1600
Explanation: Amount received by sanjay.
4 / 12 X 4800 = 1600= ( related ratio / sum of ratio ) x Total amount
So, the Amount received by sanjay is 1600.
C
Question: A computer can perform c calculations in s seconds. How many minutes will it take the computer to perform m calculations?
A.60ms/c
B.ms/c
C.ms/60c
D.60c/ms
Answer: C.ms/60c
Explanation: As 'thick' as this question might look, it's actually a fairly straight-forward Rate question and can be solved by TESTing VALUES.
We're told that a computer can perform C calculations in S seconds.
Let's TEST....
C = 2
S = 3
2 calculations every 3 seconds =
40 calculations every 1 minute
We're asked how many MINUTES it will take to perform K calculations.
Since we already know that the computer can perform 40 calculations in 1 minute, let's TEST...
m = 80
So we're looking for an answer that = 2 when C = 2, S = 3 and K = 80
Answer A: 60mS/C = 60(80)(3)/2 = 7200 This is NOT a match
Answer B: mS/C = (80)(3)/2 = 120 This is NOT a match
Answer C: mS/60C = (80)(3)/(60)(2) = 2 This IS a match
Answer D: 60C/mS = 60(2)/(80)(3) = 1/2 This is NOT a match
Answer E: m/60CS = 80/(60)(2)(3) = a fraction. This is NOT a match
C
Question: If −y ≥ x, and −x < −9, then which of the following must be true?
A.y = −9
B.y > −9
C.−y > 9
D.y ≤ −9
Answer: C.−y > 9
Explanation: −y ≥ x, and −x < −9
y <= -x < -9
As '-x' is less than '-9' and Y is less than or equal to '-x'
we have y < -9 which is similar to -y > 9.
C) -y > 9
Question: When x is divided by y, the quotient is u with remainder r. What is x in terms of r, y, and u?
A.y + r + u
B.yu + r
C.x/y+r
D.y/u+r
Answer: B.yu + r
Explanation: (x/y) = u + r
solve for x
x=(u*y)+r
Ans B.