MU-NLPC/Calc-aqua_rat huggingface dataset:
A smartphone manufacturer sold 20 thousand low end smartphone at $100 each within a given period. The company also sold 12 thousand mid range smartphones at $220 each and 5 thousand high end smartphones at $649 each within the same period. What percentage of the company's revenue came from mid range and high end smartphones?	Choose the correct choice.
A) 74.6  B) 80.5%  C) 60.%  D) 70%  E) 76.2%

Solution: Correct 74.6nswer: 74.6   The company's total revenue from low end smartphones=$100*20000=$2 000 000   The company's total revenue from mid range smartphones=$220*12000=$2 640 000   The company's total revenue from mid range smartphones=$649*5000=$3 245 000   The combined total of all sales=$7 885 000   combined total of mid range and high end sales=5885000   Therefore % of mid range and high end smartphone sales=74.6%
Answer: A
What is the least whole number that should be added to 784839 if it is to be divisible by 10?	Choose the correct choice from the following options
A) 3
B) 2
C) 1
D) 5
E) 6

Solution: A number is divisible by 10 if the last digit is 0.   Here, 784839=9, (last digit is not 0.   1 must be added to 784839 to make it divisible by 10   1
Answer: C
In Orange County, one fourth of the people are gathering mushrooms and one seventh of the people are collecting apples. What can be the number of people in Orange County?	Pick:	A) 60	B) 75	C) 85	D) 160	E) 252

Solution: The number must be a multiple of both 4 and 7 so the answer is 252.   The answer is 252.
Answer: E
An item is being sold for $10 each. However, if a customer will “buy at least 3” they have a promo discount of 15%. Also, if a customer will “buy at least 10” items they will deduct an additional 28% to their “buy at least 3” promo price. If Sam buys 10 pcs of that item how much should he pay? Answers.
A) $92.00	B) $88.00	C) $87.04	D) $80.96	E) $60.00

Solution: Without any discount Sam should pay 10*10= 
10*10 = 100
$100. Now, the overall discount would be slightly less than 43%, thus he must pay slightly more than $57. Only answer choice E fits.   Answer: $60.00.
Answer: E
A cistern 12 meters long and 4 meters wide contains water up to a depth of 1 meter 25 cm. What is the total area of the wet surface? Select.
A) 64  B) 72  C) 80  D) 88  E) 96

Solution: Area of the wet surface = [2(lb + bh + lh) - lb]   = 2(bh + lh) + lb   = [2 (4 x 1.25 + 12 x 1.25) + 12 x 4]   = 88   The answer is 88.
Answer: D
The charge for a single room at Hotel P is 40 percent less than the charge for a single room at Hotel R and 10 percent less than the charge for a single room at Hotel G. The charge for a single room at Hotel R is what percent greater than the charge for a single room at Hotel G?	Choose the correct choice from the following answers:
A) 15%
B) 20%
C) 40%
D) 50%
E) E.150%

Solution: P = 0.6R = 0.9G   R = 0.9G/0.6 = 1.5*G   Thus R is 50% greater than G.   The answer is 50%.0.9 /0.6= 
0.9 /0.6 = 1.5
1.5*G   Thus R is 50% greater than G.   The answer is 50%.
Answer: D
In how many ways can 16 different gifts be divided among four children such that each child receives exactly two gifts?
Choose one
A) 16^4
B) (4!)^4
C) 16!/(2!)^4
D) 16!/2!
E) 4^16

Solution: Total 16 different Gifts, and 4 children.   Thus any one child gets 16C2 gifts,   then the other child gets 14C2 gifts(16 total - 2 already given),   then the third one gets 12C2 gifts,   and the last child gets 10C2 gifts.   Since order in which each child gets the gift is not imp, thus, ans :   1616!/(2!)^42 * 1416!/(2!)^42 * 1216!/(2!)^42 * 1016!/(2!)^42 = 16! / (2!)^4   16!/(2!)^4
Answer: C
189. The inside dimensions of a rectangular wooden box
are 4 inches by 6 inches by 8inches. A cylindrical
canister is to be placed inside the box so that it stands
upright when the closed box rests on one of its six
faces. Of all such canisters that could be used, what is
the radius, in inches, of the one that has maximum
volume?
Choose the correct choice from the following answers
A) 3
B) 4
C) 5
D) 6
E) 8

Solution: Since the radius is squared, the biggest volume cylinder will have the biggest possible radius. To achieve that, let the smaller dimension of the rectangular box be the height. So, it will have 8x6 width x length. The biggest cylinder must fit both dimensions, so it must have at most a diameter of 6, so the radius will be 3.'   3
Answer: A
If s and t are positive integers such that s/t = 64.15, which of the following could be the remainder when s is divided by t? Choose the correct choice from the following:
A) 14 B) 16 C) 18 D) 20 E) 22

Solution: 0.15 = 3/20   The remainder must be divisible by 3.   The answer is 18.
Answer: C
B and C started a business investing Rs. 72,000 and Rs. 45,000 respectively. In what ratio the profit earned after 7 years be divided between B and C respectively?
Choose the correct answer.
A) 7:5  B) 5:8  C) 5:7  D) 8:5  E) None of these

Solution: B:C = 72000 : 45000 = 8:5.   ANSWER:8:5
Answer: D
Which one the following fractions has the biggest value?	Select:	A) 211/711	B) 201/711	C) 191/711	D) 221/711	E) 181/711

Solution: All options have the same denominator 711. If denominator is same, the fraction with the biggest value will be the one with the biggest numerator. Answer (221/711).
Answer: D
Train E leaves New York at 7:00 am traveling to Boston at 80mph. Train B leaves Boston at 7:45 am traveling to New York at 70 mph on a parallel track. If the distance between New York and Boston is 210 miles, at what time will the two trains pass each other? Choose the correct option:
A) 8:15 am
B) 8:45 am
C) 9:00 am
D) 9:30 am
E) Cannot be determined from the information given

Solution: train E will cover 60 kms in 45 min at 7:45, the time when train B starts...   distance left to cover is 210-60=150..   combined speed=80+70=150..   so the trains meet in 1 hour i.e. 7:45 + 1 hr=8:45   8:45 am
Answer: B
A alone can finish a work in 20 days. And B alone can finish same work in 25 days.both together work for 5 days.after that B leave that work.in how many days A alone can finish remaining work? Choose one:	A) 11	B) 12	C) 13	D) 14	E) 15

Solution: Work of A in 1 day= 1/20, work of B in 1 day = 1/25   (A+B) work in 5 day= 5(1/20+1/25)=5*(5+4)/100=9/20.   Remaining work=[1-9/20]=11/20   11/20 part of work 11 alone do = [1×20×11/20] days = 11 days   11nswer 11
Answer: A
In Town P, 70 percent of the population are employed, and 42 percent of the population are employed males. What percent of the employed people in Town P are females?
Select.
A) 25%	B) 30%	C) 35%	D) 40%	E) 45%

Solution: The percent of the population who are employed females is 70-42= 
70-42 = 28
28%   The percent of employed people who are female is 28% / 70%= 40%.   The answer is 40%.
Answer: D
The ratio of boarders to day scholars at a school is 7 to 16. However, after a few new students join the initial 560 boarders, the ratio changed to 1 to 2, respectively. If no boarders became day scholars and vice versa, and no students left the school, how many boarders joined the school?  Choose the correct choice from the following answers.
A) 48
B) 64
C) 70
D) 80
E) 84

Solution: Let day scholars be 80S and boarders be B   Given B/80S = 7/16 ---> eq1   Initially B = 560 and x be new boarders joined   Then from eq1 , we get 80S = 16/7*560= 
16/7*560 = 1_280
1280   Now , new ration is 560+x / 80S= 1/2   560+x / 1280 = 1/2 => 1120+2x = 1280 => 2x = 160 => x = 80   ANS option 80
Answer: D
The value of x + x(xx) when x = 3 Choose the correct answer:
A) A)30
B) B) 36
C) C) 38
D) D) 36
E) E) 64

Solution: x + x(xx)   Put the value of x = 3 in the above expression we get,   3 + 3(33)   = 3 + 3(3 Ã— 3)   = 3 + 3(9)   = 3 + 27= 
3 + 27 = 30
30 The answer is (30)
Answer: A
On average, Machine A will produce a completed item once every 2 minutes, and Machine B will produce a completed item once every nine minutes. The number of items Machine A produces in a 24-hour period is approximately what percent greater than the number of items Machine B would produce in that same period? Choose the correct choice from the following options:
A) 125%	B) 325%	C) 350%	D) 250%	E) 470%

Solution: Machine A: 1 item in 2 minutes --> 1/2 items in 1 minute;   Machine B: 1 item in 9 minutes --> 1/9 items in 1 minute.   In the same time period, Machine A produces   (1/2-1/9)/(1/9)*100= 
  (1/2-1/9)/(1/9)*100 = 350
~350% more items than machine B.   Answer: 350%.
Answer: C
A restaurant meal cost $39.50 and there was no tax. If the tip was more than 10 percent but less than 15 percent of the cost of the meal, then the total amount paid must have been between  Choose the correct answer:
A) $44 and $46  B) $39 and $41  C) $38 and $40  D) $37 and $39  E) $36 and $37

Solution: The total amount for the meal was between 39.5*1.1= 
39.5*1.1 = 43.45
43.45 and 39.5*1.15=45.425. Only option which covers all possible values of the meal is A.   $44 and $46nswer: $44 and $46.
Answer: A
What number is 76 more than one-fourth of itself?	Choose one:	A) 101	B) 225	C) 304	D) 324	E) 336

Solution: 1/4x+76= x   That means 76=3/4x   x= (76*4)/3= 304/3=101   101 is the answer
Answer: A
There are 3 persons Sudhir, Arvind, and Gauri. Sudhir lent cars to Arvind and Gauri as many as they had already. After some time Arvind gave as many cars to Sudhir and Gauri as many as they have. After sometime Gauri did the same thing. At the end of this transaction each one of them had 24. Find the cars each originally had.	Select:
A) Sudhir had 34 cars, Arvind had 21 cars and Gauri had 12 cars.	B) Sudhir had 38 cars, Arvind had 21 cars and Gauri had 12 cars.	C) Sudhir had 39 cars, Arvind had 21 cars and Gauri had 12 cars.	D) Sudhir had 32cars, Arvind had 21 cars and Gauri had 12 cars.	E) Sudhir had 36 cars, Arvind had 21 cars and Gauri had 12 cars.

Solution: Sudhir Arvind Gauri   Finally 24 24 24   Before Gauri’s transaction 12 12 48   Before Arvind’s transaction 6 42 24   Before Sudhir’ s transaction 39 21 12   Answer:Sudhir had 39 cars, Arvind had 21 cars and Gauri had 12 cars.
Answer: C
4 people are sitting in a 4 seat row watching a football game. At halftime they all get up. When they return, they each randomly sit down on one of the 6 chairs. What is the likelihood that none of the 4 end up sitting in the same chair that they sat in during the first half?  Choose the correct choice:  A) 3/24  B) 9/24  C) 15/24  D) 18/24  E) 3/4

Solution: Originally seated A B C D   now when after they get up and when they sit back again .   1st- A has option to sit on 3 seats ( apart from his previous seat . thus he now sits on B's seat.)   2nd- Similarly B has option to sit on 3 seats ( because A has already occupied B's previous seat, thus B sits on a's seat.)   3rd- Now C has only 1 option to sit on D's seat . and similarly D also has one option to sit on C's seat.)   hence total favourable outcomes   3*3*2*1*1*1= 
  3*3*2*1*1*1 = 18
18   and total possible outcomes=4!=24   probability of the favourable outcome= 3/4. 3/4
Answer: E
Cindy has her eye on a sundress but thinks it is too expensive. It goes on sale for 15% less than the original price. Before Cindy can buy the dress, however, the store raises the new price by 25%. If the dress cost $71.4 after it went on sale for 15% off, what is the difference between the original price and the final price?  Choose one:
A) $5.625	B) $1.00	C) $3.40	D) $5.25	E) $6.80

Solution: 0.85*{Original Price} = $71.4 --> {Original Price} = $84.   {Final Price} = $71.4*1.25 = $89.25.   The difference = $89.25 - $84 = $5.25   Answer: $5.25.89.25 -  84= 
89.25 -  84 = 5.25
$5.25   Answer: $5.25.
Answer: D
In how many ways can 2 men & 4 women can be made from a gang of 4 men & 7 women ? Options.
A) 100  B) 41  C) 45  D) 78  E) 89

Solution: Explanation:   4C2 * 7C4 = 41   41
Answer: B
Mr. Thomas invested an amount of 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be 3508, what was the amount invested in Scheme B?  Choose the most appropriate option.
A) 4800
B) 6500
C) 2280
D) 3400
E) 3490

Solution: B   6500   Let the sum invested in Scheme A be x and that in Scheme B be (13900 - x).   Then, (x x 14 x 2)/100 + ((13900 - x) x 11 x 2)/100 = 3508   28x - 22x = 350800 - (13900 x 22)   6x = 45000   x = 7500.   So, sum invested in Scheme 6500 = (13900 - 7500)= 
(13900 - 7500) = 6_400
6400.
Answer: B
Joe has a bunch of change in his pocket? Which of the following choices is the correct amount of change?  Choose the correct choice from the following answers.
A) 75 cents B) 85 cents C) 29 cents D) 39 cents E) 51 cents

Solution: 29 is the only prime number, so answer 29 cents is the correct answer.
Answer: C
How much interest can a person get on Rs. 8600 at 17.5% p.a. simple interest for a period of two years and six months?  Choices:
A) 3587.58  B) 3587.59  C) 3587.5  D) 3762.5  E) 3587.56

Solution: I = (8600 * 2.5 * 17.5)/100 = (8600 * 5 * 35)/(100 * 2 * 2) = Rs. 3762.50.Answer: 3762.5
Answer: D
A shirt goes on sale for 80% of its original price. One week later, the sale price is marked down 20%. The final price is what percent of the original price?
Select:
A) 72% B) 70% C) 52% D) 64% E) 28%

Solution: Just assume original price is 100.   Sale price = 80   Then it is marked down by 20% = 80-16= 
80-16 = 64
64.   Hence it is 64% od the original price. Hence answer is 64%.
Answer: D
Excluding stoppages, the speed of a train is 54 kmph and including stoppages it is 36 kmph. Of how many minutes does the train stop per hour? Select:  A) 20  B) 17  C) 15  D) 18  E) 12

Solution: T = 18/54 * 60= 
18/54 * 60 = 20
20   20nswer: 20
Answer: A
Insert the missing number. 12, 25, 49, 99, 197, 395, (...)	Select the correct option:  A) 789  B) 1579  C) 12  D) 23  E) 28

Solution: Each number is twice the previous one with 1 added or subtracted alternatively. Missing Number is 789   789nswer is 789
Answer: A
If 3 persons can do 3 times of a particular work in 3 days, then, 7 persons can do 7 times of that work in Choose the correct option:
A) 6 days
B) 2 days
C) 3 days
D) 5 days
E) 4 days

Solution: That is, 1 person can do one time of the work in 3 days.   Therefore, 7 persons can do 7 times work in the same 3 days itself.   3 days
Answer: C
If Rs. 510 be divided among A, B, C in such a way that A gets 2/3 of what B gets and B gets 1/4 of what C gets, then their shares are respectively? Choose the correct choice from the following answers:  A) Rs.300  B) Rs.360  C) Rs.389  D) Rs.368  E) Rs.323

Solution: (A = 2/3 B and B = 1/4 C) = A/B = 2/3 and B/C = 1/4   A:B = 2:3 and B:C = 1:4 = 3:12   A:B:C = 2:3:12   A;s share = 510 * 2/17 = Rs. 60   B's share = 510 * 3/17 = Rs. 90   C's share = 510 * 12/17 =Rs.360.   Answer:Rs.360
Answer: B
A money lender finds that due to a fall in the annual rate of interest from 8% to 7 3/4 % his yearly income diminishes by Rs. 63.50, his capital is?  Choose the correct choice from the following choices:
A) 24,602
B) 28,888
C) 24,600
D) 24,628
E) 24,400

Solution: Let the capital be Rs. x. Then,   (x * 8 * 1)/100 - (x * 31/4 * 1/100) = 63.50   32x - 31x = 6350 * 4   x = 25,400.   Answer: 24,400
Answer: E
When running a mile during a recent track meet, Nuria was initially credited with a final time of 6 minutes, 44 seconds. Shortly after her run, officials realized that the timing mechanism malfunctioned. The stopwatch did not begin timing her until 11/25 of a minute after she began to run. If the time was otherwise correct, how long did it actually take Nuria to run the mile?	Choices:
A) 5 minutes, 17.6 seconds
B) 5 minutes, 21.8 seconds
C) 5 minutes, 43.56 seconds
D) 5 minutes, 44.44 seconds
E) 7 minutes, 10.4 seconds

Solution: One approach:   The watch starts to work after Nuria began his running. It means the time should be greater than credited 6 minutes, 44 seconds. The only number is 7 minutes, 10.4 seconds.   Another approach:   11/25 close to 30 second when added to the 6 minutes, 44 seconds, it means it passes 7 minute.   Answer: 7 minutes, 10.4 seconds
Answer: E
IF A fair coin with sides marked heads and tails is to be tossed eight times. What is the probability that the coin will land tails side up more than five times? Choose the correct answer:
A) A)37/256 B) B)56/256 C) C)65/256 D) D)70/256 E) E)81/256

Solution: More than 5 times tails = 6times +7times  +8= 
  +8 = 8
8C6 + 8C7 + 8C8= 37   - - - - - - - -   2 2 2 2 2 2 2 2   2^8 times total events and 37 events where tails side up .   So probability = 37/2^8 = 37/256 (37/256nswer 37/256)
Answer: A
If rupee one produces rupees nine over a period of 40 years, find the rate of simple interest?
Select the correct option:
A) 22 1/6 %
B) 22 8/2 %
C) 25 1/2 %
D) 22 1/2 %
E) 22 5/2 %

Solution: 9 = (1*40*R)/100   R = 22 1/2 %   Answer: 22 1/2 %
Answer: D
If a = (1/2)b and c = 5a, then which of the following represents the average (arithmetic mean) of a, b, and c, in terms of a ?  Select the correct option:
A) (8/3)a
B) (11/3)a
C) 4a
D) (4 1/7)a
E) (7 1/4)a

Solution: Official Answer: A   The average of the three variables isa + b + c/3. However, we need to solve in terms of a, which means we must convert b and c into something in terms of a.   Were told that a =1/2b, which is equivalent to b = 2a. We can plug that in and simplify the average to:a + 2a + c/3   We also know that c = 5a, which we can plug directly into the average expression:   a + 2a + 5a/3   = 8a/3 = (8/3)a, choice(8/3)a.
Answer: A
In how many ways can 4 arts and 5 science students be arranged in a row so that the arts and the science students are placed alternately? Select.
A) 2880  B) 1850  C) 3260  D) 5200  E) 360*120

Solution: The four art students can be arranged in those 4 A-slots in 4! = 24 ways.   The five science students can be arranged in those 5 S-slots in 5! =120 ways.   Total arrangements = 24 *120= 
24 *120 = 2_880
2880   2880nswer=(2880)
Answer: A
In a recent survey 40% houses contained two or more people. Of those houses containing only one person 25% were having only a male. What is the percentage of all houses which contain exactly one female and no males? Pick one
A) 75	B) 40	C) 15	D) Cannot be determined	E) None of these

Solution: Houses containing only one person = 100 – 40 = 60%   Houses containing only a male = 60 × 25⁄100 = 15%   ∴ Houses containing only one female = 60 – 15 = 45%   Answer None of these
Answer: E
What is the next number of the following sequence
1,3,4,5,6,7,1,9,16,25,36,... Answers
A) 14  B) 15  C) 16  D) 17  E) 49

Solution: (1, 3 ,4, 5, 6, 7) (1, 9, 16, 25, 36, x)   square of 1st group gives 2nd group   1^2 = 1   3^2 = 9   4^2 = 16   5^2 =25   6^2 =36   7^2 = 49   ANSW49R:49
Answer: E
A certain list consists of 21 different numbers. If n is in the list and n is 6 times the average (arithmetic mean) of the other 20 numbers in the list, then n is what fraction of the sum of the 21 numbers in the list?  Choose the correct answer
A) 1/20 B) 1/6 C) 1/5 D) 3/13 E) 5/21

Solution: series : a1, a2....a20,n   sum of a1+a2+...+a20 = 20*x (x = average)   so, n = 6*x   Hence, a1+a2+..+a20+n = 26x   So, the fraction asked = 6x/26x = 6/26=3/13   3/13
Answer: D
S = { 1,2,3,5,6}
T = { 2,3,6,7 }
what is the probability that x chosen from S and y chosen from T will result x*y = even Choose the correct choice.
A) 2/7 B) 3/8 C) 7/10 D) 10/7 E) 3/8

Solution: p: the probability that x*y is even, then p=1-p(x*y is odd)   p(x*y odd)=p(x odd)*p(y odd)=3/5*2/4=3/10   And p=1-3/10=7/10.   Option: 7/10
Answer: C
What percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit?  Options.
A) 1 B) 14 C) 20 D) 21 E) 30

Solution: Clearly, the numbers which have 1 or 9 in the unit's digit, have squares that end in the digit 1. Such numbers from 1 to 70 are 1, 9, 11, 19, 21, 29, 31, 39, 41, 49, 51, 59, 61, 69.   Number of such number =14   Required percentage =(14x 100)/70% = 20%.   Answer :20
Answer: C
Three different containers contain 496 litres, 403 litres and 713 litres of mixture of milk and water respectively. What is the biggest measure can measure all the different quantities exactly ? Choose the correct option:	A) 29 litres	B) 31 litres	C) 35 litres	D) 19 litres	E) 26 litres

Solution: M1 = 496 litres   M2 = 403 litres   M3 = 713 litres   Required measurement = H.C.F. of M1,M2,M3 = 31 litres   Answer is 31 litres
Answer: B
A train running at the speed of 60 km/hr crosses a pole in 15 seconds. Find the length of the train?  Select the correct option:
A) 250 meter
B) 876 meter
C) 167 meter
D) 719 meter
E) 169 meter

Solution: Speed = 60*(5/18) m/sec = 50/3 m/sec   Length of Train (Distance) = Speed * Time     (50/3) * 15= 
  (50/3) * 15 = 250
250 meter   250 meternswer: 250 meter
Answer: A
In a race with 30 runners where 4 trophies will be given to the top 6 runners (the trophies are distinct: first place, second place, etc), how many ways can this be done? Choose the correct answer
A) 8^8 ways  B) 8^9 ways  C) 6^4 ways  D) 8^7 ways  E) 8^6 ways

Solution: 6 people can be prized with 4 distinct prizes in 6^4 ways   ANSWER:6^4 ways
Answer: C
A student read 40 pages per day on average in a 10 days period. How many pages must the student read on the next day to increase the average to 45 pages per day?
Choose the correct choice from the following answers:  A) 10  B) 25  C) 45  D) 55  E) 95

Solution: Solution   Average of 11 days = 45 .   âˆ´ Required average= (11x45)-(10x40)   = 495- 400= 
495- 400 = 95
95.   Answer 95
Answer: E
A certain league has three divisions. The respective divisions had 8, 10, and 11 teams qualify for the playoffs. Each division held its own double-elimination tournament -- where a team is eliminated from the tournament upon losing two games -- in order to determine its champion. The four division champions then played in a single-elimination tournament -- where a team is eliminated upon losing one game -- in order to determine the overall league champion. Assuming that there were no ties and no forfeits, what is the maximum number of games that could have been played in order to determine the overall league champion?	Options: A) 51 B) 52 C) 54 D) 56 E) 57

Solution: Overall, there can be 57 minuses. Tus, it is 57.
Answer: E
Some times small town drivers can be very rude. One taxi driver I had the occasion to travel with was particularly lacking in courtesy, and so I asked for his number.
The driver gave me a sardonical smile and said. 'Well, if you divide my number by 2, 3, 4, 5 or 6 you will find there is always 1 remaining. But if you divide it by 11 there is no remainder. Do you want to know something more? There is no other cabby in this town with a lower number than---who can say the same.,' and he drove off, while I stood there completely baffled.
What was the man's number?	Choose one:  A) 121  B) 143  C) 165  D) 133  E) 117

Solution: 121   The driver's number was 121.
Answer: A
If a tap could fill entire tank in 18 hrs due to leakage, then in how much time
tank can be emptied by leakage if tap can fill entire tank in 14 hrs without leakage
Choose the most appropriate option:
A) 12hrs
B) 63hrs
C) 36hrs
D) 48hrs
E) 52hrs

Solution: time take to fill[withleakage] =18hrs so workdone in 1hr=1/18   time tkae to fill[without leakage]=14hrs so workdone in 1hr=1/14   if u subtract both u'll get time taken by leakage to empty...   1/18-1/14=2/126 = 1/63 so 63hrs   ANSWER:63hrs
Answer: B
What will come in place of the x in the following Number series? 11, 14, 19, 22, 27, 30,35,38 x  Choose the correct choice from the following choices.
A) 23
B) 26
C) 36
D) 35
E) 43

Solution: (43)   The pattern is + 3, + 5, + 3, + 5, …………   So the missing term is = 38 + 5= 
38 + 5 = 43
43.
Answer: E
A camera lens filter kit containing 5 filters sells for $67.50. If the filters are purchased individually, 2 of them are priced at $7.45 each, 2 at $10.05 each, 1 at $14.50. The amount saved by purchasing the kit is what percent of the total price of the 5 filters purchased individually?	Answers:
A) 25.66%
B) 26.66%
C) 27.66%
D) 28.66%
E) 29.66%

Solution: Cost of kit = $67.50   If filters are purchased individually - $7.45*2 + $10.05*2 + $14.50 = $49.50   Amount saved = $67.50 - $49.50 = $18   Required %age 67.50 -  49.50= 
67.50 -  49.50 = 18
$18   Required %age= ($18/$67.50)*100 = 26.66%   So, the correct answer is 26.66%.
Answer: B