RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: When processing flower-nectar into honey bees' extract, a considerable amount of water gets reduced. How much flower-nectar must be processed to yield 1kg of honey, if nectar contains 50% water, and the honey obtained from this nectar contains 25% water?
A.1.2 kg
B.1.5 kg
C.1.7 kg
D.1.9 kg
Answer: B.1.5 kg
Explanation: Explanation :
Flower-nectar contains 50% of non-water part.
In honey this non-water part constitutes 75% (100-25).
Therefore 0.5 X Amount of flower-nectar = 0.75 X Amount of honey = 0.75 X 1 kg
Therefore amount of flower-nectar needed =
(0.75/0.51)kg=1.5 kgs
Answer : B
Question: Calculate the number of bricks, each measuring 25 cm * 15 cm * 8 cm required to construct a wall of dimensions 10 m * 4 m * 5 m when 10% of its volume is occupied by mortar?
A.3388
B.27678
C.6000
D.2977
Answer: C.6000
Explanation: 10 * 4/100 * 5 * 90/100 = 25/100 * 15/100 * 8/100 * x
10 * 20 * 90 = 15 * 2 * x => x = 6000
Answer:C
Question: A sum of money is sufficient to pay C's wages for 12 days and D's wages for 4 days. The same money is sufficient to pay the wages of both for?
A.3
B.4
C.5
D.2
Answer: A.3
Explanation: Let the total money be $x
C's 1day work = $ x/12
D's 1day work = $ x/4
C+D 1day work = $ x/3
Money is sufficient to pay the wages of both for 3days
Answer is A
Question: A beekeeper has 300,000 bees living in seven beehives. Among these beehives, the sizes of the beehives are proportional to the numbers of bees living in them. No beehive has less than 80% the number of bees of any other beehive. What is the maximum possible number of bees that the greatest beehive could have?
A.40,000
B.51724
C.60,000
D.80,000
Answer: B.51724
Explanation: x be the # of bees in the hive with the max # of bees. Let other hives have same # of bees. So, x+6*(0.8)*x = 300,000 => 5.8x = 300,000 => x = 51724.
B is the answer.
Question: Surekha started a business investing Rs.25,000 in 1999. In 2000, he invested an additional amount of Rs. 10,000 and Rajesh joined him with an amount of Rs. 35,000. In 2001, Surekha invested another additional amount of Rs.10,000 and Jay joined them with an amount of Rs.35,000. What will be Rajesh's share in the profit of Rs.2,40,000 earned at the end of 3 years from the start of the business in 1999?
A.Rs 45000
B.Rs 50000
C.Rs 70000
D.Rs 80000
Answer: D.Rs 80000
Explanation: Surekha:Rajesh:Jay= (25000×12+35000×12+45000×12):(35000×24) : (35000×12) = 1260000 : 840000 : 420000 = 3 : 2 : 1. Rajesh's share =Rs.(240000×2/6) = Rs.80000.
Answer D
Question: Rahul can do a work in 3 days while Rajesh can do the same work in 2days. Both of them finish the work together and get $105. What is the share of Rahul?
A.$50
B.$42
C.$60
D.$100
Answer: B.$42
Explanation: Rahul's wages: Rajesh's wages = 1/3 : 1/2 = 2:3
Rahul's share = 105*2/5 = $42
Answer is B
Question: The distance between Station Atena and Station Barcena is 90 miles. A train starts from Atena towards Barcena. A bird starts at the same time from Barcena straight towards the moving train. On reaching the train, it instantaneously turns back and returns to Barcena. The bird makes these journeys from Barcena to the train and back to Barcena continuously till the train reaches Barcena. The bird finally returns to Barcena and rests. Calculate the total distance in miles the bird travels in the following two cases:
(a) The bird flies at 90 miles per hour and the speed of the train is 60 miles per hour.
(b) the bird flies at 60 miles per hour and the speed of the train is 90 miles per hour
A.135miles,60miles
B.134miles,60miles
C.135miles,70miles
D.136miles,60miles
Answer: A.135miles,60miles
Explanation: A) There is no need to consider their meeting pointt at all.
The train has been running for 90miles/(60miles/hr)=1.5hrs.
bird flies till train reaches destination from starting point.so bird flies for1.5hrs at the vel given(90).so distance=1.5*90=135miles
b) time of train=1hr.so distance of bird=60*1=60miles
Answer A
Question: At what rate percent of simple interest will a sum of money double itself in 11 years?
A.9.09 %
B.4.54 %
C.8 .2 %
D.4.94 %
Answer: A.9.09 %
Explanation: Let sum = x. Then, S.I. = x.
Rate = (100 * S.I.) / (P * T) = (100 * x) / (x * 11)
= 100/11 = 9.09 %
ANSWER:A
Question: The population of a city is 415600.It increased by 25% in the first year and decreased by 30% in the second year.What is the population of the city at the end of second year?
A.367300
B.363580
C.363650
D.373650
Answer: C.363650
Explanation: As per given data, P = 415600, R1= 25% incresed, R2 = 30% decreased
Population of the city at the end of the second year= P (1+R1/100) (1-R2/100)
= 415600 (1+25/100) (1-30/100)
=363650
ANSWER:C
Question: Evaluate: 1222343 - 12*3*2 =?
A.122336
B.145456
C.122347
D.126666
Answer: A.122336
Explanation: According to order of operations, 12?3?2 (division and multiplication) is done first from left to right
12**2 = 4* 2 = 8
Hence
1222343 - 12*3*2 = 122343 - 8 = 122336
correct answer A
Question: Jo's collection contains US, Indian and British stamps. If the ratio of US to Indian stamps is 5 to 2 and the ratio of Indian to British stamps is 5 to 1, what is the ratio of US to British stamps?
A.25 : 8
B.25 : 0
C.25 : 8
D.25 : 2
Answer: D.25 : 2
Explanation: Indian stamps are common to both ratios. Multiply both ratios by factors such that the Indian stamps are represented by the same number.
US : Indian = 5 : 2, and Indian : British = 5 : 1. Multiply the first by 5, and the second by 2.
Now US : Indian = 25 : 10, and Indian : British = 10 : 2
Hence the two ratios can be combined and US : British = 25 : 2
Answer:D
Question: A completes a work in 12 days and B complete the same work in 24 days. If both of them work together, then the number of days required to complete the work will be?
A.8 days
B.9 days
C.11 days
D.13 days
Answer: A.8 days
Explanation: If A can complete a work in x days and B can complete the same work in y days, then, both
of them together can complete the work in x y/ x+ y days
Therefore, here, the required number of days = 12 × 24/ 36 = 8 days
A)
Question: Of the 50 researchers in a workgroup, 40 percent will be assigned to Team A and the remaining 60 percent to Team B. However, 60 percent of the researchers prefer Team A and 30 percent prefer Team B. What is the lowest possible number of researchers who will NOT be assigned to the team they prefer?
A. 10
B. 17
C. 20
D. 25
Answer: A. 10
Explanation: I solved it by assuming 100 people and then dividing my answer in two to save time on calculations. (percentage equals number of people) In that case
40 will be in team A
60 will be in team B
The larger diff is
70 want team A so diff is 60-40=20. At least 20 people will NOT get their wish, so for 50 researchers the same number is 10.
Answer choice A
Question: Rs. 2600 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/2:1/3:1/4?
A.187
B.187
C.300
D.600
Answer: D.600
Explanation: 1/2:1/3:1/4
= 6:4:3
3/13*2600
= 300
Answer: D
Question: A dishonest dealer professes to sell goods at the cost price but uses a weight of 600 grams per kg, what is his percent?
A.28%
B.66.7%
C.55%
D.28%
Answer: B.66.7%
Explanation: 600 --- 400
100 --- ? => 66.7%
Answer: B
Question: A trader bought a car at 20% discount on its original price. He sold it at a 40% increase on the price he bought it. What percent of profit did he make on the original price?
A.12%
B.15 %
C.86 %
D.42 %
Answer: A.12%
Explanation: Explanation:
Original price = 100
CP = 80
S = 80*(140/100) = 112
100 - 112 = 12%
Answer:A
Question: A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 4 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold?
A.480
B.488
C.882
D.269
Answer: A.480
Explanation: 1/x - 1/20 = -1/24
x = 120
120 * 4 = 480
Answer: A
Question: The length of a train and that of a platform are equal.If with a speed of 90 kmph the train crosses the platform in one minute,then the length of the train in metres is
A.500
B.600
C.750
D.900
Answer: D.900
Explanation: 2x will be the distance travelled by the train if the length of the train= the length of the platform = x as distance= speed*time
distance=2x
speed in kmph=90
speed in mps=90*5/18
as dist=speed*time
2x=(90*5/18)*(60sec)
on solving x=900mts
ANSWER:D
Question: A and B started a business with their capitals Rs. 3,00,000 and 18,00,000 respectively. Annual profit will be distributed between them in the ratio
A.2:5
B.2:3
C.1:3
D.1:6
Answer: D.1:6
Explanation: 3,00,000:18,00,000
Ans. 1:6
ANSWER:D
Question: A house seller can deduct 5 percent from the total sales value. If he has sold 5 houses, and the price of two houses is between $150,000 and $200,000, one of them is $300,000 house, two houses are between $500,000 and 750,000, what is the range of his revenue?
A.700
B.720
C.740
D.680
Answer: D.680
Explanation: (1) 2(150)+300+2(500) = 1600
1600*0.95=1520 (Revenue considering the minimum values with the discount)
(2) 2(200)+300+2(750) = 2200 (Revenue considering the maximum values without the discount)
So, the the revenue range could be = 2200 - 1520 = 680
D
Question: Ravi buys 100 5% shares of face value Rs.100 at Rs.15000 .If he sells
them off after a year at Rs 155 a share ,what is his yield ?
A.8.33%
B.6.67%
C.5%
D.3.33%
Answer: B.6.67%
Explanation: clearly the shares have been bought at 150 a share.
Since they are 5% shares he gets a return of 5% of 100 =Rs5 at the end of the year.rs 5 for 100 shares= 500 rs
NOw selling them again at 5 rs profit per share he gains another 500 rupees. Yield = (1000/15000)*100=6.67
ANSWER:B
Question: What percent of 180 is 45?
A.0.25%
B.4%
C.25%
D.40%
Answer: C.25%
Explanation: Here's an algebraic approach.
Let p = the required percent.
This means p/100 = the percent as a fraction.
So, "What percent of 180 is 45?" becomes "(p/100) of 180 = 45
Or: (p/100)(180) = 45
Divide both sides by 180 to get: p/100 = 45/180
Simplify right side: p/100 = 1/4
Multiply both sides by 100 to get: p = 25
ANSWER:C
Question: a is an integer greater than 29 but less than 41, b is an integer greater than 39 but less than 51, what is the range of a/b?
A.1/4
B.1/2
C.2/5
D.1
Answer: C.2/5
Explanation: min value of a/b will be when b is highest and a is lowest ---> a=30 and b=50
So, a/b = 3/5
max value of a/b will be when b is lowest and a is highest ---> a=40 and b=40
So, a/b = 1
Range is 1-(3/5) =2/5
Answer should be C.
Question: In a mixture 60 litres, the ratio of milk and water 2 : 1. If the this ratio is to be 1 : 2, then the quanity of water to be further added is
A.20 liters
B.30 liters
C.50 liters
D.60 liters
Answer: D.60 liters
Explanation: Explanation:
Quantity of Milk = 60*(2/3) = 40 liters
Quantity of water = 60-40 = 20 liters
As per question we need to add water to get quantity 2:1
=> 40/(20+x) = 1/2
=> 20 + x = 80
=> x = 60 liters
Option D
Question: A boy rides his bicycle 10 km at an average speed of 12 km/hr and again travels 12 km at an average speed of 10 km/hr. His average speed for the entire trip is approximately.
A.10.2 km/hr
B.10.4 km/hr
C.10.6 km/hr
D.10.8 km/hr
Answer: D.10.8 km/hr
Explanation: Explanation :
Total distance traveled = (10+12) km = 22 km
Total time taken = [10/12 + 12/10] hrs = 61/30 hrs
Average speed = [22*30/61] km/hr = 10.8 km/hr.
Answer : D
Question: What distance (in meters) will be covered by a bus moving at 72 km/hr in 40 seconds?
A.740
B.800
C.860
D.920
Answer: B.800
Explanation: 72 km/hr = 72 * 5/18 = 20 m/s
distance = 20 * 40 = 800 meters
The answer is B.
Question: In a certain game there are 6 steps, referred to as step 1, step 2, and so on with the final step being step 6. The steps are played one after the other. In each step a score of 1, 2, 3, 4, or 5 is obtained. Roslin played the game, getting at least one score of each of 1, 2, 3, 4, and 5, and never getting the same score in consecutive steps. What is the greatest possible score that Roslin could have gotten?
A.30
B.25
C.20
D.15
Answer: A.30
Explanation: There are two conditions:
1. Roslin got at least one score of each of 1, 2, 3, 4, and 5.
2. She never got the same score in consecutive steps.
Taking that into account, the greatest possible score that Roslin could have gotten is 5 + 1 + 5 + 2 + 5 + 3 + 5 + 4 = 30.
Answer: A.
Question: How many seconds will a 500 meter long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
A.200
B.300
C.500
D.600
Answer: C.500
Explanation: Let length of tunnel is x meter
Distance = 800+x meter
Time = 1 minute = 60 seconds
Speed = 78 km/hr = 78*5/18 m/s = 65/3 m/s
Distance = Speed*Time
800+x = (65/3) * 60
800+x = 20 * 65 = 1300
x = 1300 - 800 = 500 meters
Answer: Option C
Question: At a local beach, the ratio of little dogs to average dogs to enormous dogs is 2:5:8. Late in the afternoon, the ratio of little dogs to average dogs doubles and the ratio of little dogs to enormous dogs increases. If the new percentage of little dogs and the new percentage of average dogs are both integers and there are fewer than 30 total dogs at the beach, which of the following represents a possible new percentage of enormous dogs?
A.25%
B.40%
C.50%
D.55%
Answer: D.55%
Explanation: Little Dogs(L), Average Dogs(A) and Enormous Dogs (E)
The initial ratio for L:A:E :: 2:5:8
Initial Total dogs = 15X ( x assumed; 2+5+8= 15), Since the total dogs are less than 30 therefore initial total value has to be 15
L = 2, A = 5 E = 8
L:A= 2:5
This ratio doubles
Hence New Dog count is
L= 4 , A = 5 E= X: Also 4+5+x<30
We need to Find X*100/(4+5+X)
Now it says that new percentage of little dogs and Average dogs is an integer
%L = 4*100/(9+x) %A = 5*100/(9+x); Only Value for X is 11 ; 9+x<30 and % integer
Therefore, Enormous Dogs % is = 11*100/(20) = 55%
ANSWER:D
Question: The perimeter of a rhombus is 52 units. One of its diagonal is 24 units. What is its second diagonals length?
A.5
B.10
C.15
D.20
Answer: B.10
Explanation: When the perimeter of a triangle is 52 units each side is 13 units
Next, the diagonal of a rhombus bisect each other at 90 degree
Thus the half of the diagonal is 12 units
Now in a right angle triangle so formed, the perpendicular is 12 and the hypptenuse is 13(that is the side of the triangle)
Finding the base(which is half of the other diagonal):
13^2-12^2 =25
Thus half of the diagonal is 5 and the diagonaL IS 10UNITS
ANSWER:B
Question: An ice cream store received shipments of ingredients on Tuesday and Wednesday. Tuesday's shipment had 3 different packages, with an average (arithmetic mean) of 10 and 2/3 pounds. Wednesday's shipment included 7 packages, weighing an average of 8 and 3/7 pounds. What was the average package weight, in pounds, of the shipments received on both days?
A.9 pounds
B.10 and 1/10 pounds
C.10 and 2/5 pounds
D.11 pounds
Answer: A.9 pounds
Explanation: Solution: Average weight = Total weight/number of packages. The total weight on Tuesday was 3 * (10 and 2/3 pounds), or 35 pounds. The total weight on Wednesday was 7 * (8 and 3/7 pounds), or 66 pounds. The sum of the weights for both days is 59 + 32, or 101 pounds. The average is 91 pounds/10 packages, or 9 pounds per package.
Correct answer: A
Question: A box contains nine slips that are each labeled with one number: 1, 2, 3, 5, 8, 21, 34 and 55. Two of the slips are drawn at random from the box without replacement. What is the probability that the sum of the numbers on the two slips is equal to one of the numbers left in the box?
A.7/72
B.1/6
C.1/7
D.15/36
Answer: C.1/7
Explanation: Probability = No: of desired outcomes / Total No: of outcomes.
You are picking two slips out of 8 slips. So
Total No: of outcomes = 8C2 = 28
Desired outcome : sum of the numbers on the two slips is equal to one of the numbers left in the box. How many such outcomes are there?
If you look at the numbers closely, you will see that the following pair of numbers will give you the desired outcome.
(1,2) (2,3) (3,5) (21,34) . There are 4 such pairs. If the two numbers which I pick is from any of these 4 pairs, then I get my desired outcome.
So No: of desired outcomes = 4
Probability = 4/28=1/7
Answer :C
Question: A truck uses 60-gallon fuel tank wants to travel to Cleveland, which is 480 miles away. The driver recognizes that the current engine, which can travel only 10 miles per gallon, will not get him there. By how many miles per gallon of fuel efficiency be improved to make the truck to Cleveland possible?
A.2
B.6
C.8
D.5
Answer: A.2
Explanation: Actual miles/gallon is = 480/60 = 8 miles/gallon.
Current engine miles/gallon is 10 miles/gallon.
Additional 2 miles/gallon is required to match the actual mileage.
ANSWER:A
Question: The entire contents of a full sack of flour can be used to make 15 cupcakes and 8 pizzas. The same full sack of flour can be used to make 6 cupcakes and 14 pizzas. If a full sack of flour is used to make only pizzas, how many pizzas can be made?
A.18 1/4
B.18 1/2
C.18 3/4
D.18
Answer: D.18
Explanation: 15x+8y=6x+14y
x=2/3y. Answer D
Question: A and B together have Sterling 1250. If 4/15 of A's amount is equal to 2/5 of B's amount, how much amount does B have?
A.Sterling 460
B.Sterling 484
C.Sterling 500
D.Sterling 664
Answer: C.Sterling 500
Explanation: Explanation: 4/15A = 2/5B
A = (2/5 x 15/4)B
A = 3/2 B
A/B = 3/2
A : B = 3 : 2.
B's share = Sterling (1250 x 2/5) = Sterling 500.
Answer: Option C
Question: At a party, there were two times as many females as males and same times as many adults as children. Which of the following could NOT be the number of people at the party?
A.384
B.258
C.216
D.121
Answer: D.121
Explanation: Five times as many females as males --> F = 2M.
Three times as many adults as children --> (F + M) = C.
The number of people at the party = F + M + C = C + C = 2C.
The number of people at the party must be a multiple of 2. The only answer choice which is NOT a multiple of 4 is 2.
Answer: D.
Question: A cistern can be filled by a tap in 5 hours while it can be emptied by another tap in 10hours. If both the taps are opened simultaneously then after how much time will the cistern get filled?
A.20hr
B.10hr
C.5hr
D.4hr
Answer: B.10hr
Explanation: Net part filled in 1 hour 1/5 - 1/10 = 1/10
The cistern will be filled in 10hr
Answer is B
Question: Tom is having a cookout. 9 people want steak, 27 people want grilled chicken breast, and 13 people want bratwurst. Each steak cost $21.00, each chicken breast cost $3.24, and each bratwurst cost $4.30. What is the average price per piece of meat Tom paid?
A.$332.38
B.$6.78
C.14.74
D.28.54
Answer: B.$6.78
Explanation: Explanation:
9 27 13
$21.00 $3.24 $4.30
$189.00 + $87.48 + $55.90 = $332.38/49 = $6.78
B
Question: Jim’s Taxi Service charges an initial fee of $2.35 at the beginning of a trip and an additional charge of $0.35 for each 2/5 of a mile traveled. What is the total charge for a trip of 3.6 miles?
A.$3.15
B.$4.45
C.$4.80
D.$5.5
Answer: D.$5.5
Explanation: Let the fixed charge of Jim’s Taxi Service = 2.35 $
and charge per 2/5 mile(.4 mile) = .35$
Total charge for a trip of 3.6 miles = 2.35 + (3.6/.4) * .35
= 2.35 + 9*.35
= 5.5 $
Answer D
Question: Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
A.9
B.10
C.12
D.16
Answer: B.10
Explanation: Due to stoppages, it covers 9 km less.
Time taken to cover 9 km = 9/54	x 60	min	= 10 min.
Answer: B
Question: Four staff members at a certain company worked on a project. The amounts of time that the four staff members worked on the project were in the ratio 2 to 3 to 5 to 6. If one of the four staff members worked on the project for 90 hours, which of the following CANNOT be the total number of hours that the four staff members worked on the project?
A.720
B.480
C.288
D.192
Answer: D.192
Explanation: Four members worked in ration 2:3:5:6, hence as everyone mentioned, individual work could be taken as 2x, 3x,5x, and 6x. Also this gives us total work as 16x.
But we are told that one of these individual works is 90hrs. hence, possible scenarios, if
(1)2x =90 => 16x = 720 (2) 3x =90 => 16x = 480 (3) 5x =90 => 16x = 288 (4) 6x =90 => 16x = 240
Hence Answer is D 192 which can not be any of these.
Question: Man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is:
A.20
B.22
C.12
D.15
Answer: B.22
Explanation: consider x = x+24
x+24 + 2 = 2(x+2)
x+26=2x+4
x=22
ANSWER B
Question: In what time will a railway train 60 m long moving at the rate of 36 kmph pass a telegraph post on its way?
A.5 sec
B.4 sec
C.3 sec
D.6 sec
Answer: D.6 sec
Explanation: T = 60/36 * 18/5 = 6 sec
Answer: D
Question: A can do a work in 6 days , B can do a work in 8 days and C can do it in 12 days. B left work after 2 days. For how many number of days should A and C should work together to complete the remaining work ?
A.1/2
B.2/3
C.1/3
D.4/3
Answer: C.1/3
Explanation: b work 1/8 * 2=1/4
remaining work =1-1/4=3/4
a and c work together =1/6+1/12=3/12=1/4
take reciprocal 3/4 * remaining work =4/3 *1/4=1/3
ANSWER:C
Question: There are some pigeons and hares in a zoo. If heads are counted, there are 200. If legs are counted, there are 680. The number of hares in the zoo is?
A.90
B.99
C.77
D.140
Answer: D.140
Explanation: 200*2 = 400
680
-----
280
1----2
?----280 =140
Answer:D
Question: Find the sum of first 89 odd numbers
A.7921
B.4800
C.7900
D.4980
Answer: A.7921
Explanation: Explanation:
n2 = 892 = 7921
Answer: Option A
Question: What number should replace the question mark?
123, 124, 126, 132, 133, 136, 142, 143, 147, ?
A.154
B.634
C.165
D.134
Answer: A.154
Explanation: A
154
Add the first digit to arrive at the second number i.e. 123 + 1 = 124, then the second digit i.e. 124 + 2 = 126, then the third digit etc.
Question: A mobile battery in 1 hour charges to 20 percent.How much time (in minute) will it require more to charge to 50 percent.
A.145
B.150
C.175
D.160
Answer: B.150
Explanation: 1 hr =20 percent.Thus 15 min=5 percent .Now to charge 50 percent 150 min.Answer:B
Question: The annual interest rate earned by an investment increased by 8 percent from last year to this year. If the annual interest rate earned by the investment this year was 27 percent, what was the annual interest rate last year?
A.22%
B.20%
C.25%
D.23%
Answer: C.25%
Explanation: let i = interest rate
i(this year) = i(last year) + 0.08i(last year) = 1.08i(last year)
27 = 1.08 x i(last year)
i(last year) = 27/1.08= 2700/108 = 25%
Answer : C
Question: A start walking from a place at a uniform speed of 6 kmph in a particular direction. After half an hour, B starts from the same place and walks in the same direction as A at a uniform speed and overtakes A after 1 hour 48 minutes. Find the speed of B.
A.4.7 kmph
B.6.6 kmph
C.4 kmph
D.7 kmph
Answer: B.6.6 kmph
Explanation: Distance covered by A in 30 min = 1 Km
B covers extra 1km in 1 hour 48 minutes (9/5 hr)
i.e. Relative speed of B over A = 1/(9/5) = 5/9
So the speed of B = Speed of A + 5/9
= 6 + 5/9
= 6.55
Answer B
Question: A circle graph shows how the MegaTech corporation allocates its Research and Development budget: 14% microphotonics; 19% home electronics; 10% food additives; 24% genetically modified microorganisms; 8% industrial lubricants; and the remainder for basic astrophysics. If the arc of each sector of the graph is proportional to the percentage of the budget it represents, how many degrees of the circle are used to represent basic astrophysics research?
A.8°
B.90°
C.18°
D.36°
Answer: B.90°
Explanation: 14% microphotonics;
19% home electronics;
10% food additives;
24% genetically modified microorganisms;
8% industrial lubricants;
100-(14+19+10+24+8)=25% basic astrophysics.
25% of 360° is 90°.
Answer: B.
Question: A train 180 m long is running with a speed of 54 km per hour. In what time will it pass a telegraph post?
A.11 s
B.10 s
C.7 s
D.12 s
Answer: D.12 s
Explanation: We know from the formula Time = Distance/ Speed
Thus, Time = 180/ 54 x 5/18
or, Time = 12 sec.
ANSWER:D
Question: The income of a company increases 30% per annum. If its income is Rs 26,64,000 in the year 1999, what was its income in the year 1997?
A.Rs.15,68,542
B.Rs.16,55,423
C.Rs.15,76,331
D.Rs.16,76,331
Answer: C.Rs.15,76,331
Explanation: We have P = 2664000, R = 30 and n = 2
Therefore Company’s income in 1977
= P/(1 + (R/100))n = 2664000/(1 + (30/100))2
= Rs 15,76,331.
ANSWER:C