divelab/Sys2Bench huggingface dataset:
Question: How many 5 letter words ( with or without meaning) can be formed using all the following 5 letters P,Q,R,V,and T so that letter P is to the left of letter R?
Options:
A)90
B)60
C)120
D)144
E)160
Rationale: Two positions can be selected out of 5 positions in 5C2 ways = 10 ways.
And the remaining 3 letters can be placed in 3 posions in 3! Ways = 6 ways.
So the final Answer = number of ways letters P and R can be arranged x number
of ways the other 3 letters can be arranged
Final Answer = 10 x 6 = 60 ways
B
Answer: B
Question: If s and t are positive integers such that s/t = 17.14, which of the following could be the remainder when s is divided by t ?
Options:
A)20
B)45
C)49
D)23
E)45
Rationale: s/t= 17.14
s = 17.14t
s = (17 + 0.14)t
s = 17t + (14/100)t
s = 17t + (7/50)t
So remainder will be multiple of 7. The only multiple of 7 is 49.
Ans. C
Answer: C
Question: A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 24 sec. What is the length of the platform?
Options:
A)389 m
B)350 m
C)187.5 m
D)299 m
E)219.5 m
Rationale: Speed = 300/24 = 25/2 m/sec.
Let the length of the platform be x meters.
Then, (x + 300)/39 = 25/2
=> x = 187.5 m.
Answer:C
Answer: C
Question: How much interest will $8,000 earn in 9 months at an annual rate of 6%?
Options:
A)$250
B)$350
C)$360
D)$550
E)$650
Rationale: Soln:-
9 months = 3/4 of year;
6% = 6/100=3/50;
$8,000(principal)*3/50(interest rate)*3/4(time)=$360.
ANSWER:C
Answer: C
Question: Today is Monday. After 61 days, it will be:
Options:
A)Wednesday
B)Saturday
C)Tuesday
D)Thursday
E)Friday
Rationale: Each day of the week is repeated after 7 days.
So, after 63 days, it will be Monday.
After 61 days, it will be Saturday.
Answer: Option B
Answer: B
Question: Line k is in the rectangular coordinate system. If the c-intercept of k is -2, and the y-intercept is 3, which of the following is an equation of line k?
Options:
A)-3c + 2y = 6
B)3c + 2y = -6
C)3c - 2y = 6
D)2c - 3y = 6
E)-2c - 3y = 6
Rationale: This question can be solved in much simpler way.
To find the c intercept
Put y=0 in the equation of the line.
To find the y-intercept
Put c=0 in the equation of the line.
So
Sub c=0 in the answer choices check whether you are getting y=3.
A. -3c + 2y = 6 --- y = 3
B. 3c+ 2y = -6 --- y = -3
C. 3c - 2y = 6 ----- y = -3
D. 2c - 3y = 6 --- y = -2
E. -2c - 3y = 6 --- y =-2
Eliminate answer B,C,D and E.
So the answer is A.
Answer: A
Question: The sale price of an article including the sales tax is Rs. 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 12%, then the cost price of the article is:
Options:
A)Rs. 500
B)Rs. 515
C)Rs. 550
D)Rs. 600
E)Rs. 700
Rationale: 110% of S.P. = 616
S.P. = (616 * 100)/110 = Rs. 560
C.P = (110 * 560)/112 = Rs. 500
ANSWER:A
Answer: A
Question: In an election between two candidates, one got 60% of the total valid votes, 30% of the votes were invalid. If the total number of votes was 9000, the number of valid votes that the other candidate got, was:
Options:
A)2500
B)2520
C)3000
D)3100
E)None of these
Rationale: Explanation :
Number of valid votes = 70% of 9000
= 6300.
Valid votes polled by other candidates = 40% of 6300
(40/1006300)
= 2520.
Harsh Mishra a year ago
0 upvotes
Answer : B
Answer: B
Question: Two numbers are respectively 20% and 25% more than a third number. The percentage that is first of the second is?
Options:
A)12
B)687
C)26
D)96
E)12
Rationale: I II III
120 125 100
125----------120
100-----------? => 96%
Answer:C
Answer: C
Question: A rectangular grassy plot 110 m. by 65 m has a gravel path 2.5 m wide all round it on the inside. Find the cost of gravelling the path at 50 paise per sq. metre
Options:
A)s425
B)s780
C)s880
D)s480
E)s980
Rationale: area of the plot=110m*65m=7150sq.m
area of plot excluding gravel=105m*60m=6300sq.m
area of gravel =7150sq.m-6300sq.m =850sq.m
cost of building it = 850sq.m*50
= 42500p
in Rs =42500/100=Rs425
ANSWER:A
Answer: A
Question: An article is bought for Rs.685 and sold for Rs.900, find the gain percent?
Options:
A)33 1/8%
B)33 8/3%
C)33 1/3%
D)31 12/31%
E)32 1/3%
Rationale: 685 ---- 215
100 ---- ? => 31 12/31%
Answer: D
Answer: D
Question: 1/0.04 is equal to
Options:
A)25.5
B)2.5
C)25
D).25
E)None of these
Rationale: Explanation:
1/0.04 = (1 * 100)/4 = 100/4 = 25
Option C
Answer: C
Question: The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number ?
Options:
A)226
B)523
C)775
D)890
E)270
Rationale: E
270
Let the smaller number be x. Then larger number = (x + 1365).
x + 1365 = 6x + 15
5x = 1350
x = 270
Smaller number = 270.
Answer: E
Question: All of the students of Music High School are in the band, the orchestra, or both. 70 percent of the students are in only one group. There are 111 students in the band. If 30 percent of the students are in the band only, how many students are in the orchestra only?
Options:
A)84
B)69
C)78
D)81
E)74
Rationale: % of students in one group only = 70%
% of students in both groups = 100 - 70 = 30%
% of students in the band only = 30%
Number of students who are in band = 111
30% + 30% = 60% = 111 Students
Finding total students:
x = (111 x 100)/60
x = 185
Students in orchestra only = 185 - 111 = 74
Answer:E
Answer: E
Question: Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother seven years younger to her was born. What is the difference between the ages of her parents?
Options:
A)2 years
B)4 years
C)6 years
D)7 years
E)9 years
Rationale: Mother's age when Ayesha's brother was born = 36 years.
Father's age when Ayesha's brother was born = (38 + 7) years = 45 years.
Required difference = (45 - 36) years = 9 years.
Answer: Option E
Answer: E
Question: In a hostel there were 100 students. To accommodate 20 more students the average is decreased by rupees 5. But total expenditure increased by Rs.400. Find the total expenditure of the hostel now?
Options:
A)3800
B)4800
C)5100
D)5300
E)5400
Rationale: 100x + 400 = 12(x – 5)
x = 50
100 * 50 + 400 = 5400
E)
Answer: E
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 Rs. 800 more than D, what is B's share?
Options:
A)Rs. 1600
B)Rs. 1500
C)Rs. 2000
D)Rs. 2500
E)none of the above
Rationale: Let the shares of A, B, C and D be Rs. 5x, Rs. 2x, Rs. 4x and Rs. 3x respectively.
Then, 4x - 3x = 800
x = 800.
B's share = Rs. 2x = Rs. (2 x 800) = Rs. 1600.
Answer = A
Answer: A
Question: A radio station has to choose two days of the seven in a week to broadcast a certain program, and that set will repeat each week. The program can be broadcast equally on any of the seven weekdays —- weekdays vs. weekends don’t matter at all —- nor does it matter whether the days the program airs are adjacent or not. Absolutely any two of the seven weekdays can be chosen. How many different two-day combinations of the seven weekdays can be constructed?
Options:
A)9
B)15
C)21
D)35
E)56
Rationale: Pick 2 days out of 7.. 7C2 = 21
Answer : C
Answer: C
Question: How many positive integers H less than 10,000 are such that the product of their digits is 210?
Options:
A)24
B)30
C)48
D)54
E)72
Rationale: 210 is the answer when 2, 3, 5 and 7 are multiplied. 210 can also be arrive using 5,6 and 7 and 1, 5, 6 and 7.
So sum of arrangements of 2357, 567 and 1567. This translates to 4! +3! + 4!, this equals to 24 + 6 + 24 = 54, D is the answer.
Answer: D
Question: A pack of baseball cards consists of 12 outfielder cards and 8 infielder cards. What is the lowest number of outfielder cards that would have to be removed from the pack so that no more than 45 percent of the pack would be outfielder cards?
Options:
A)4
B)5
C)6
D)7
E)8
Rationale: let the number of O card to be removed=X
then remaning cards=12-X
now this 12-X cards should count less than 45% of toatal Ocards
12-X<.45*12
X<12-5.4
X<6.6
X=6
Ans C
Answer: C
Question: If a number between 0 and 1/2 is selected at random, which of the following will the number most likely be between
Options:
A)0 and 3/20
B)3/9 and 1/2
C)1/5 and 1/4
D)1/4 and 3/10
E)3/10 and 1/2
Rationale: E. 3/9 and 1/2
Definitely not. I am always happy to explain a given question or issue if I can. However, I sometime donot put my explanation if I am answering first because I want to put others first for their explanation.
Now you have excellent explanantion byscthakur. In fact the question is asking the likelyness of or high chances/probability of having a given number. Hope you already got it. B
Answer: B
Question: A person buys an article at $600. At what price should he sell the article so as to make a profit of 8%?
Options:
A)670
B)689
C)648
D)740
E)889
Rationale: C
648
Cost price = $600
profit = 8% of 600 = $48
Selling price = Cost price + Profit
= 600 + 48 = 648
Answer: C
Question: A truck covers a distance of 550 metres in 1 minute whereas a train covers a distance of 33 kms in 45 minutes. What is the ratio of their speed?
Options:
A)3 : 7
B)4 : 7
C)1 : 4
D)3 : 4
E)2 : 5
Rationale: Explanation:
Speed of the truck = Distance/Time=550/1=550 meters/minute
Speed of the train = Distance/Time=33/45 km/minute = 33000/45 meters/minut
Speed of the truck/Speed of the train = 550/(33000/45) = (550 × 45)/33000 = (55 × 45)/3300
= (11 × 45)/660 = (11×9)/132 = 9/12 = 34
Hence, Speed of the truck : Speed of the train = 3 : 4
Answer: Option D
Answer: D
Question: How much time does a train 150 metres long running at 90 km/hr take to pass a pole?
Options:
A)7.9s
B)6s
C)7.5s
D)7.6s
E)7.4s
Rationale: Explanation:
90 km/hr = 90 * 5/18 = 25 m/s
Speed = distance/time; v = d/t
25 = 150/t
t = 6s
ANSWER: B
Answer: B
Question: Find the compound interest and the amount on Rs.4000 at 5% per annum for 3 years when C.I is reckoned yearly?
Options:
A)s.261.50
B)s.440.50
C)s.630.50
D)s.346.50
E)s.446.50
Rationale: A = 4000(21/20)3
= 4630.50
= 4000
---------
630.50
ANSWER:C
Answer: C
Question: Karthikeyan arranged a party to celebrate his birth day.20 of his close friends were invited. One friend left before the cake was cut due to an urgent phone call.The big cake was drawing the attention of the party visitors. This cake is to be divided among friends and of course Karthikeyan will get his share. A man eats 3 pieces, a woman eats two pieces and a child eats half a piece of cake. Including Karthikeyan count the number of men,women and children in the party. There are 20 pieces of cake in all.
Options:
A)6 women, 2 men and 12 children
B)7 women, 1 men and 12 children
C)5 women, 1 men and 14 children
D)4 women, 2 men and 14 children
E)None of these
Rationale: Let the number of men be m, number of women be w and number of children be c
Total number of pieces = Pieces ate by men + Pieces ate by women + Pieces ate by children
There are 20 total pieces. Also a man eats 3 pieces, a woman eats 2 and children half. Therefore above equation becomes.
20 = 3m + 2w + 1/2c
In the above equation, you have to substitute the values given in options to find which one satisfies the equation.
Option c with m = 1, c = 14 and w = 5 perfectly satisfies the equation as follows
20 = 3(1) + 2(5) + (1/2)(14)
20 = 20 i,e our equation is satisfied perfectly by option c
ANSWER:C
Answer: C
Question: The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is:
Options:
A)1677
B)1683
C)2523
D)3363
E)4352
Rationale: Explanation :
L.C.M. of 5, 6, 7, 8 = 840.
Required number is of the form 840k + 3
Least value of k for which (840k + 3) is divisible by 9 is k = 2.
Required number = (840 x 2 + 3) = 1683.
ANSWER IS B
Answer: B
Question: Toby is four years younger than Debby. Thrice the sum of the ages of Toby and Debby equals their mother’s age. If the age of the mother is 60, find the ages of Toby and Debby?
Options:
A)8 and 12
B)5 and 9
C)6 and 10
D)5 and 10
E)12 and 16
Rationale: Let the age of Debby be x and Toby be x-4
3 ( x + x-4 ) = 60
x = 12
The ages of Toby and Debby are 8 and 12.
Answer : A
Answer: A
Question: In the youth summer village there are 100 people, 50 of them are not working,25 of them have families and 75 of them like to sing in the shower. What is the largest possible number of people in the village, which are working, that don't have families and that are singing in the shower?
Options:
A)100
B)75
C)25
D)50
E)125
Rationale: total =100
not working =50
having family=25
like to sing in shower = 75
working=100-50=50
not having family = 100-25=75
like to sing in shower = 75
largest possible number is the lowest possible among the above
Thus 50
D
Answer: D
Question: An employee’s annual salary was increased $5,000. If her new annual salary now equals $70,000, what was the percent increase?
Options:
A)15%
B)0.77%
C)20%
D)22%
E)24%
Rationale: New annual salary = $70,000
Salary increase = $5,000.
Original salary = $70,000 - $5,000.
= $65,000
%Increase = ($5,000/ $65,000 )*100
=0.77%
Hence B.
Answer: B
Question: Ajay and Vijay have some marbles with them. Ajay told Vijay "if you give me 'x' marbles, both of us will have equal number of marbles". Vijay then told Ajay "if you give me twice as many marbles, I will have 30 more marbles than you would". Find 'x'?
Options:
A)4
B)5
C)6
D)8
E)7
Rationale: If Vijay gives 'x' marbles to Ajay then Vijay and Ajay would have V - x and A + x marbles.
V - x = A + x --- (1)
If Ajay gives 2x marbles to Vijay then Ajay and Vijay would have A - 2x and V + 2x marbles.
V + 2x - (A - 2x) = 30 => V - A + 4x = 30 --- (2)
From (1) we have V - A = 2x
Substituting V - A = 2x in (2)
6x = 30 => x = 5.
ANSWER:B
Answer: B
Question: Sum of two consecutive even terms lacks by 98 from their product. Find the sum of these numbers?
Options:
A)18
B)24
C)32
D)36
E)None
Rationale: x(x + 2) – (x + x + 2) = 98
ANSWER:E
Answer: E
Question: If $3000 was invested at an annual interest rate of 5.6% compounded annually, which of the following represents the amount the investment was worth after 3 years?
Options:
A)3000 (1.056)^3
B)3000 (3+1.056)
C)3000 (1+3(0.056))
D)3000 (1+(0.056)^3)
E)3000 (1.056)(3)
Rationale: the formula is CI=P(1+r/100)^t
in this case i think A is the ans
Answer: A
Question: Working alone, machine X can manufacture 1,000 nails in 12 hours. Working together, machines X and Y can manufacture 1,000 nails in 5 hours. How many hours does it take machine Y to manufacture 800 nails working alone?
Options:
A)6 6/7
B)7 1/3
C)7
D)8 1/5
E)9 4/7
Rationale: rate of machine x = 1000/12
(1000/12 + y)5=1000
y=350/3
350/3 * t = 800
t=6 6/7
A.
Answer: A
Question: Four packages have an average weight of 12.5 pounds. What is the minimum possible weight of the heaviest package in pounds if the median is 8 pounds?
Options:
A)18
B)20
C)22
D)24
E)26
Rationale: Let us denote the weights of the packages in pounds by a, b, c, d naming from the lightest one to the heaviest one. The median is 8 pounds. Therefore (b + c) / 2 = 8.
b + c = 16
The average is 12.5 pounds. Therefore (a + b + c + d) / 4 = 12.5.
a + (b + c) + d = 50
a + 16 + d = 50
a + d = 34
The weight a must be no greater than 8, since 8 is the median. Therefore the minimum possible weight of the heaviest package is 34 – 8 = 26 pounds (all the other packages would weigh 8 pounds in this case).
Answer: E
Answer: E
Question: In what ratio must rice of Rs.16 per kg be mixed with rice of Rs.10 per kg so that cost of mixture is Rs.12 per kg?
Options:
A)2:3
B)5:8
C)5:6
D)3:4
E)1:2
Rationale: (12-10)/(16-12)=2/4=1:2
ANSWER:E
Answer: E
Question: A retailer buys 120 pens at the market price of 36 pens from a wholesaler, if he sells these pens giving a discount of 1%, what is the profit % ?
Options:
A)210
B)215
C)212
D)230
E)320
Rationale: let the market price of each pen be $1
then, Cost Price of 120 pens = $ 36 Selling Price of 120 pens =99% of $120=$ 118.80
profit %=((82.80*100)/36) %=230%
Answer D
Answer: D
Question: Among 7 Numbers the Average of first four numbers is 13 and the average of last four numbers is 15. The sum of last three numbers is 55. The square of the fourth Number is equal to the last number then what is the last number?
Options:
A)60
B)52
C)5
D)25
E)125
Rationale: let the numbers be a,b,c,d,e,f,g
d+e+f+g = 15 * 4 = 60
e+f+g = 55, 60 - 55 = 5
so the fourth number is 5. The square is 25.
the answer is Option D.
Answer: D
Question: which number need to add to 859622 to get a number divisible by 456?
Options:
A)565771
B)456578
C)676885
D)788090
E)859622
Rationale: Dividend = Quotient * Divisor + Reminder
859622 / 456 gives quotient = 1885 and reminder = 62.
So, the next number divisible by 456 is 456 places infront of 456 * 1885
Which means 456 – 62 = 394 should be added to 859622.
E
Answer: E
Question: (169)^2 - (168)^2 =
Options:
A)1
B)100
C)229
D)329
E)337
Rationale: Using the formula:
(a+1)^2 - a^2 = 2a+1
So, Answer = 168*2 + 1
= 336+1 = 337 = Answer = E
Answer: E
Question: If 3 : 12 :: x : 16, then find the value of x
Options:
A)2
B)3
C)4
D)5
E)6
Rationale: Explanation:Treat 3:12 as 3/12 and x:16 as x/16, treat :: as = So we get 3/12 = x/16=> 12x = 48=> x = 4 Option B
Answer: B
Question: The average weight of a group of 30 friends increases by 1 kg when the weight of their football coach was added. If average weight of the group after including the weight of the football coach is 31 kg, what is the weight of their football coach?
Options:
A)31 kg
B)61 kg
C)60 kg
D)62 kg
E)91 kg
Rationale: Explanatory Answer
The new average weight of the group after including the football coach = 31 kg.
As the new average is 1 kg more than the old average, old average without including the football coach = 30 kg.
The total weight of the 30 friends without including the football coach = 30 * 30 = 900.
After including the football coach, the number people in the group increases to 31 and the average weight of the group increases by 1 kg.
Therefore, the total weight of the group after including the weight of the football coach = 31 * 31 = 961 kg.
Therefore, the weight of the football coach = 961 - 900 = 61 kg.
Answer B
Answer: B
Question: At the wholesale store you can buy an 8-pack of hot dogs for $1.55, a 20-pack for $3.05, and a 250-pack for $22.95. What is the greatest number of hot dogs you can buy at this store with $300?
Options:
A) 3,108
B) 3,100
C) 3,108
D) 3,124
E) 3,250
Rationale: To maximize number of hot dogs with 300$
Total number of hot dogs bought in 250-pack = 22.95*13 =298.35$
Amount remaining = 300 - 298.35 = 1.65$
This amount is too less to buy any 8- pack .
Greatest number of hot dogs one can buy with 300 $ = 250*13 = 3250
Answer E
Answer: E
Question: If x, 3, 4, 5 are there and the range and median of them are the same, what is the value of x?
Options:
A)0
B)1
C)2
D)3
E)4
Rationale: Try taking the values of x as you suggested and then see if the median and the range are equal.
Once you do that, you will get the answer yourself.
Tried substituting values starting with 3, 4, 5...
only x = 4 satisfies the condition.
E
Answer: E
Question: If one-third of one-fourth of a number is 15, then three-tenth of that number is
Options:
A)35
B)36
C)45
D)54
E)57
Rationale: Let the number be x. then 1/3 of ¼ of x=15
X=15x12=180
The required number=(3/10)*180=54
ANSWER D 54
Answer: D
Question: A man has Rs. 528 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Options:
A)90
B)94
C)96
D)97
E)99
Rationale: Let number of notes of each denomination be x.
Then x + 5x + 10x = 528
16x = 528
x = 33.
Hence, total number of notes = 3x = 99.
E
Answer: E
Question: Which of the following triples of numbers have the same standard deviation as the numbers x, y and z?
I. x-2, y-2, z-2
II. 0,x-y, z-y
III.x-4, y+5, z-1
Options:
A)I only
B)II only
C)I and III only
D)II and I only
E)I, II, and III
Rationale: If we add or subtract a constant to each term in a set the standard deviation will not change.
Set {x-2, y-2, z-2} is obtained by subtracting 2 from each term of {x, y, z}.
Set {0, x-y, z-y} is obtained by subtracting s from each term of {x, y, z}.
Set {x-4, y+5, z-1} is totally different from {x, y, z}.
Thus the answer is I and II only.
Answer: D.
Answer: D
Question: The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is Rs. 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is:
Options:
A)3500
B)4000
C)4050
D)5000
E)5500
Rationale: Explanation:
Let P, Q and R represent their respective monthly incomes. Then, we have:
P + Q = (5050 x 2) = 10100 .... (i)
Q + R = (6250 x 2) = 12500 .... (ii)
P + R = (5200 x 2) = 10400 .... (iii)
Adding (i), (ii) and (iii), we get: 2(P + Q + R) = 33000 or P + Q + R = 16500 .... (iv)
Subtracting (ii) from (iv), we get P = 4000.
P's monthly income = Rs. 4000.
ANSWER IS B
Answer: B
Question: A man swims downstream 96 km and upstream 64 km taking 4 hours each time; what is the speed of the current?
Options:
A)6
B)4
C)2
D)8
E)5
Rationale: 96 --- 4 DS = 24
? ---- 1
64 ---- 4 US = 16
? ---- 1 S = ?
S = (24 - 16)/2 = 4
Answer: B
Answer: B
Question: Five gallons of a solution of vinegar and water with 8% vinegar is to be diluted with water to make a 4% vinegar mixture. How many gallons of water should be added?
Options:
A)10
B)5
C)4
D)2
E)1
Rationale: In these types of mixture questions, if the answers are numbers, then it's likely that you can TEST THE ANSWERS to quickly get to the solution. Here's how:
First, we need to know about the original mixture of vinegar and water. We're told that a 5 gallon mixture is 8% vinegar....
(5 gallons)(.08) = 0.4 gallons vinegar
The rest = 4.6 gallons water
We're told to ADD WATER until the mixture goes from 8% vinegar to 4% vinegar.
Since the answer choices are numbers, we know that one of them will lead us to a 4% mix when added to the current mix. Changing 8% to 4% means that we have to add a significant amount of water (relative to what we started with), so I would TEST one of the bigger numbers first.
Let's TEST B
If 5 gallons of water were added, then we'd have....
0.4 gallons vinegar
9.6 gallons of water
0.4/10 = 4% vinegar. This is EXACTLY what we're looking for, so B MUST be the answer.
Final Answer:
B
Answer: B
Question: A company has a job to prepare certain number of cans and there are three machines A, B and C for this job. A can complete the job in 2 days, B can complete the job in 8 days and C can complete the job in 10 days. How many days the company will it take to complete the job if all the machines are used simultaneously?
Options:
A)4/27 days
B)40/29 days
C)3/4 days
D)1/2 days
E)1/4 days
Rationale: Let the total number of cans to be prepared be 40.
The number of cans prepared by A in 1 day = 20.
The number of cans prepared by B in 1 day = 5.
The number of cans prepared by C in 1 day = 4.
Thus, the total number of cans that can be prepared by all the machines working simultaneously in a single day = 29.
Therefore, the number of days taken to complete the whole work = 40/29 days.
ANSWER:B
Answer: B
Question: Three hoses work to fill a tub at at different rate. Hose E and B, working together, can fill the tub in 6/5 of an hour. Hoses E and C can fill it in 3/2 an hour. Houses B and C can fill it in 2 hours. How long does it take all 3 hoses, working together, to fill the tub?
Edited for accurate solution
Options:
A)3/10
B)2/5
C)1/2
D)1
E)6/5
Rationale: Convert the given time to rate and you will be able to add it up.
Total Rate of E and B = Rate of E + Rate of B = 1/(6/5) = 5/6
Total Rate of E and C = Rate of E + Rate of C = 1/(3/2) = 2/3
Total Rate of B and C = Rate of B + Rate of C = 1/2
Adding all three,
2(Rate of E + Rate of B + Rate of C) = 5/6 + 2/3 + 1/2 = 2
Rate of E + Rate of B + Rate of C = 1 tub/hour
Time taken by all three together to fill up the tub is 1 hour=D
Answer: D
Question: A team won 50 percent of its first 60 games in a particular season, and 80 percent of its remaining games. If the team won a total of 60 percent of its games that season, what was the total number of games that the team played?
Options:
A)180
B)120
C)90
D)85
E)30
Rationale: Won 50 % of the first 60 games means it won 30 games.
Let the number of remaining games played be x. Hence the number of remaining games won is 0.8x.
So the equation for winning can be written as:
30+0.8x= 0.6(60+x)
x=30
Total games played= 60+30=90
Option C.
Answer: C