MU-NLPC/Calc-aqua_rat huggingface dataset:
A salesman commission is 5% on all sales upto $10000 and 4% on all sales exceeding this. He remits $31100 to his parent company after deducting his commission. Find the total sales? Choices:	A) $30000	B) $32500	C) $35120	D) $41520	E) $25460

Solution: Let his total sales be x   Total sales - commission = $31100   x - [(5% of 10000)+4% of (x-10000)] = 31100   x-500-(x-10000)/25 = 31100   x = 32500   Answer is $32500
Answer: B
Irin, Ingrid and Nell bake chocolate chip cookies in the ratio of 9.18: 5.17: 2.05. If altogether they baked a batch of 170 cookies, what percent of the cookies did Nell bake?  Choose one:	A) 0.125%	B) 1.25%	C) 11.7%	D) 125%	E) 0.152%

Solution: 9.18x+5.17x+2.05x = 16.4x 9.18 +5.17 +2.05= 
9.18 +5.17 +2.05 = 16.4
16.4x= 170 cookies   x= 170/16.4 = 10 (approx)   So, Nell baked 10*2.05 cookies or 20 cookies (approx)   % share = 20/170 = 11.7 approx   Hence, answer is 11.7%.
Answer: C
Shreyas bought an article and sold it for 112% of its cost price. What was the cost price of the article, if Shreyas sold it for Rs.42750/-? Answers
A) Rs.24600 B) Rs.38169 C) Rs.38989 D) Rs.23200 E) None of these

Solution: Explanation:   112% of CP = Rs.42750   :. CP = Rs.42750x100/112 = Rs.38169.   Answer: Option Rs.38169
Answer: B
If x and y are perfect squares, then which one of the following is not necessarily a perfect square?  Choose the correct choice from the following answers:	A) x^2	B) xy	C) 4x	D) x+y	E) x^5

Solution: If x=y=1^2=1, then each option but D is a perfect square, therefore D is NOT necessarily a perfect square.   Answer: x+y.
Answer: D
A certain university will select 1 of 4 candidates eligible to fill a position in the mathematics department and 2 of 10 candidates eligible to fill 2 identical positions in the computer science department. If none of the candidates is eligible for a position in both departments, how many different sets of 3 candidates are there to fill the 3 positions?
Choose the correct option:	A) 42	B) 70	C) 140	D) 180	E) 315

Solution: 1 of 7 will be chosen for the math   2 of 10 will be chosen for the computer   None of the 3 chosen people can be in more thn one deparments.   We can choose any of the 4 candidates for the math dep., which gives as 4 selections.   We can choose 2 of the 10 candidates for the computer dep., which gives us 2 selections and 8 rejections.   So, the way to find how many different selections of 2 candidates we can have for the computer dep., we do:   10! /2!*8!= (9*10) / 2 = 90 / 2= 
90 / 2 = 45
45.   We are multiplying our individual selections:  4*45= 
 4*45 = 180
180   In the bolded part, we don't have to multiply all of the numbers, as those in 8! are included in 10!, so we simplify instead.   Ans 180
Answer: D
A family consists of six members P, Q, R, S, T and U. There are two married couples. Q is a doctor and the father of T. U is grandfather of R and is a contractor. S is grandmother of T and is a housewife. There is one doctor, one contractor, one nurse, one housewife and two students in the family. Which of the following is definitely a group of male members ? Options.
A) QU B) UU C) QI D) QH E) HS

Solution: Explanation:   Q, the Doctor, is the father of T. S, the Housewife, is the grandmother of T and hence the mother of Q. Since there are only two married couples one being that of Q, the grandfather of R. i.e, U must be married to S. Thus, R and T will be both children of Q and these must be the students So, P, who remains, shall be the wife of Q and she alone can be the nurse. Thus, U must be the contractor   Clearly, for definite the males are Q, the father and U, the grandfather   QUnswer: QU) QU
Answer: A
What is the area of square field whose side of length 7 m?
Choose the correct choice from the following:
A) 225
B) 662
C) 772
D) 882
E) 49

Solution: 7 * 7= 
7 * 7 = 49
49 sq m   Answer:49
Answer: E
√6 percent of 6√6 = Select the correct option.
A) 0.3	B) 0.25	C) 0.1	D) 0.95	E) 0.35

Solution: The other solutions are great, but here's one more approach.   First, we scan the answer choices to see that they are quite spread apart. This means we can also use someAPPROXIMATION   All test-takers must memorize the following approximations:   √2 ≈ 1.4   √3 ≈ 1.7   √5 ≈ 2.2   √6 ≈ 2.4   So, √6 percent of 6√6 ≈ 2.4 percent of (6)(2.4)   ≈ (2.4/100)(14.4)   ≈ 34.56/100   ≈ 0.34   Check the answer choices to see that E is the only answer that's close.   Answer: 0.35
Answer: E
The probability that A speaks truth is 1/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact?  Pick:
A) 16/35  B) 16/37  C) 16/39  D) 16/33  E) 18/31

Solution: If both agree stating the same fact, either both of them speak truth of both speak false.   Probability = 1/5 * 4/7 + 4/5 * 3/7   = 16/35   16/35nswer:16/35
Answer: A
A sum of money place at compound interest doubles itself in 3 years. In how many years will it amount to eight times itself?	Choose the correct choice.
A) 7  B) 8  C) 9  D) 10  E) 11

Solution: 100 ---- 200 ---- 3   400 ---- 3   800 ---- 3   ------   9 years   Answer: 9
Answer: C
The cost of the paint is Rs. 36.50 per kg. If 1 kg of paint covers 16 squares feet, how much will it cost to paint outside of a cube having 8 feet each side? Choices.
A) Rs. 692
B) Rs. 768
C) Rs. 876
D) Rs. 972
E) None

Solution: Solution   Surface area of the cube	= (6 ×82)sq.ft   = 384 sq.ft.   Quantity of paint required	= (384 / 16)= 
(384 / 16) = 24
›24 kg.   Cost of painting= Rs.(36.50 ×24)   = Rs. 876.   Answer Rs. 876
Answer: C
The amount of water (in ml) that should be added to reduce 15 ml. Lotion, containing 50% alcohol, to a lotion containing 30% alcohol, is?
Choose the correct answer:	A) 8 ml	B) 5 ml	C) 4 ml	D) 6 ml	E) 10 ml

Solution: 7.5 7.5   30% 70%   30% ----- 7.5   70% ------? => 17.5 - 7.5= 
17.5 - 7.5 = 10
10 ml   Answer:10 ml
Answer: E
CP of one kg apple is Rs.9 and thereby loses 20%. At what price per kg, we should have sold them to make a profit of 5%?	Select.
A) 10  B) 11.81  C) 11.92  D) 12.4  E) 12.56

Solution: SP=9Loss=20%CP=100(100−Loss%)×SP=100(100−20)×9=10080×9=54×9to make a profit of 5%,SP=100+Gain%100×CP=(100+5)100×CP=105100×54×9=105100×54×9=2120×54×9=214×14×9=18916=11.81   11.81
Answer: B
517 + 5.017 + 0.517 + 5.0017 = ? Choose one
A) 558.3657  B) 527.5357  C) 229.6357  D) 629.5637  E) 629.6753

Solution: 517   5.017   0.517   + 5.0017   --------   527.5357   ---------   Answer is 527.5357.
Answer: B
A large tanker can be filled by two pipes A and B in 60 and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half ?  Select the correct option:
A) 30 min
B) 23 min
C) 25 min
D) 28 min
E) 40 min

Solution: (30 min+B) in 1 min = 1/60 + 1/40 = 1/24   x min then x/2(1/24+1/40) = 1   (x/2) x (1/15) = 1 ==> x = 30 min   30 minNSWER 30 min
Answer: A
A clock loses a minute every three hours for 4 days and gains 1% in the subsequent 6 days. If it was set right on Friday at 09 AM, what will be the time at the end of 10 days?	Choose the correct choice from the following answers.
A) 09:54:40 AM	B) 09:56:24 AM	C) 10:16:40 AM	D) 10:06:36 AM	E) 09:54:24 AM

Solution: Loses 8 minutes each day.   so total loss = 4×8 = 32min   subsequent 6 days = 6×24×60 minutes   1% gain = ( 6×24×60)/100 = 86.4 minutes   so, total gain = 86.4 - 32= 
86.4 - 32 = 54.4
54.4 min= 54 + 0.4 min = 54 minutes + 0.4 × 60 seconds = 54min + 24seconds   10 days later the clock should be 54 min and 24seconds fast.   so time , 09:54:24 am (Answer 09:54:24 AM)
Answer: E
If the average of 9 digits is 18 and the average of 4 of them is 8, calculate the average of the remaining 5 numbers?
Pick.
A) 21	B) 26	C) 27	D) 22	E) 29

Solution: Explanation:   Total of the 9 digits - 9*18 = 162   Total of the 4 digits - 4*8 = 32   Total of the remaining 5 digits - 162-32 = 130   average of the remaining 3 numbers = 130/5= 
130/5 = 26
26   ANSWER: 26
Answer: B
4 weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 6 weavers in 6 days? Choose the correct choice from the following choices.
A) 6 B) 9 C) 12 D) 15 E) 18

Solution: 1 weaver can weave 1 mat in 4 days.   6 weavers can weave 6 mats in 4 days.   6 weavers can weave 9 mats in 6 days.   The answer is 9.
Answer: B
If y is 40 percent greater than x, then x is what percent less than y? Choose one:
A) 18%  B) 21%  C) 25%  D) 29%  E) 35%

Solution: y = 1.4x   x = y/1.4 = 10y/14 = y - (2/7)*y   2/7 is about 29%.   The answer is 29%.
Answer: D
If an object travels at sixty feet per minute, how many feet does it travel in one hour? Pick one.
A) 60  B) 3000  C) 2400  D) 1800  E) 3600

Solution: If an object travels at 60 feet per minute it covers covers 60x60 feet in in one hour.   Answer = 3600 Answer:3600
Answer: E
Siddharth wants to borrow Rs.8000 at rate of interest 6% p.a. at S.I and lend the same amount at C.I at same rate of interest for two years. What would be his income in the above transaction? Choose the correct choice from the following answers:
A) s.28.80 B) s.21.68 C) s.21.18 D) s.21.98 E) s.21.29

Solution: Amount of money Siddharth borrowed at S.I at 6% p.a. for two years = Rs.8,000   He lend the same amount for C.I at 6% p.a. for two years.   => Siddharth's income = C.I - S.I   = p[1 + r/ 100]n - p - pnr/100   = p{ [1 + r/ 100]2 - 1 - nr/100   = 8,000{ [1 + 6/100]2 - 1 - 12/100}   = 8,000 {(1.06)2- 1 - 0.12} = 8,000(1.1236 - 1 - 0.12)   = 8,000 (0.0036) = 8 * 3.6   = Rs.28.80   s.28.80nswer: s.28.80
Answer: A
A company’s four cars running 10 hrs a day consume 1500 lts of fuel in 10 days. In the next 6 days, the company will need to run 9 cars for 12 hrs each so it rents 5 more cars which consume 20% less fuel than the company’s four cars. How many lts of fuel will be consumed in the next 6 days?
Choose the correct answer:
A) 1200 lt
B) 1555 lt
C) 1664 lt
D) 1728 lt
E) 2160 lt

Solution: Given that   4 cars running 10 hrs a day consume 1200 lts. of fuel in 10 days.   1 car consumption per hour per day = 1500 /4 *10 *10 = 3.75 litre   Now question say new car consume 20% less fuel than the company’s four cars = 80/100 of 3.75 = 3 ( 20 percent less than 3.75)   Hence we calculate total consumption for next 6 days, the company will need to run 5 new cars for 12 hrs = 3 *12 *6*5= 
3 *12 *6*5 = 1_080
1080   similarly= old 4 car consumption for next 6 days for 12 hrs = 3.75*6*12*4= 
3.75*6*12*4 = 1_080
1080   hence total is= 1080+1080= 
1080+1080 = 2_160
2160 lt   Ans is 2160 lt .
Answer: E
In a sample of college students, 50 percent are third year students and 70 percent are not second-year students. What fraction of those students who are not third-year students are second-year students?
Options.
A) 2/3 B) 1/4 C) 2/5 D) 3/7 E) 2/9

Solution: required answer= 40/60. = 2/3   2/3nswer is 2/3
Answer: A
A firm has 5 senior partners and 6 junior partners. How many different groups of 3 partners can be formed in which at least one member of the group is a senior partner? (Note that two groups are considered different if at least one group member is different.)  Choose the correct choice: A) 130 B) 135 C) 140 D) 145 E) 150

Solution: The number of ways to form a group of 3 is 11C3 = 165   The number of groups with no senior partner is 6C3 = 20   The number of groups with at least one senior partner is 165-20= 
165-20 = 145
145   The answer is 145.
Answer: D
What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 20%?	Select the correct option.
A) 20%  B) 33.0%  C) 22%  D) 77%  E) 54%

Solution: Explanation:   SP2 = 2/3 SP1   CP = 100   SP2 = 80   2/3 SP1 = 80   SP1 = 120   100 --- 20 => 20%   20%nswer: Option 20%
Answer: A
The price of a car is Rs. 3,25,000. It was insured to 85% of its price. The car was damaged completely in an accident and the insurance company paid 90% of the insurance. What was the difference between the price of the car and the amount received?	Choose the most appropriate option
A) Rs.32.500 B) Rs.48,750 C) Rs.76,375 D) Rs.81,250 E) None

Solution: Solution   Amount paid to car owner	= 90% of 85% of Rs. 3,25,000.   = Rs. (90/100 ×85/100 ×325000)   = Rs. 2,48,625.   Required differene	= Rs. (325000 - 248625)   = Rs. 76,375.   Answer Rs.76,375
Answer: C
Pipe A can fill a tank in 6 hours. Due to a leak at the bottom, it takes 10 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank?  Choose one:
A) 13
B) 17
C) 15
D) 19
E) 12

Solution: Let the leak can empty the full tank in x hours 1/6 - 1/x = 1/10   => 1/x = 1/6 - 1/10 = (5 - 3)/30 = 2/30 = 1/15   => x = 15.   Answer: 15
Answer: C
What is the place value of 7 in the numeral 2734?
Choose the correct choice.
A) 70
B) 7
C) 700
D) 7.0
E) 800

Solution: Explanation:   7 × 100 = 700   Answer: Option 700
Answer: C
WINK, Inc. follows a certain procedure that requires two tasks to be finished independently in order for a job to be done. On any given day, there is a 7/8 probability that task 1 will be completed on time, and a 1/5 probability that task 2 will be completed on time. On a certain day, what is the probability that task 1 will be completed on time, but task 2 will not?  Pick one.
A) 1/20 B) 3/40 C) 13/40 D) 7/10 E) 13/22

Solution: P(1 and not 2)=7/8*(1-1/5)=7/10.   Answer: 7/10.
Answer: D
When Greenville State University decided to move its fine arts collection to a new library, it had to package the collection in 20-inch by 20-inch by 12-inch boxes. If the university pays $0.50 for every box, and if the university needs 2.16 million cubic inches to package the collection, what is the minimum amount the university must spend on boxes?
Choose the correct option:
A) $155
B) $225
C) $510
D) $850
E) $1250

Solution: The volume of each box is 20*20*12= 
20*20*12 = 4_800
4800 cubic inches.   Number of boxes= 2,160,000/4800 = 450 boxes   Total cost = 450×$0.5=$225   The answer is $225.
Answer: B
Evaluate (12 + 22 + 32 + ... + 102)
Choices
A) 430	B) 720	C) 385	D) 265	E) 295

Solution: We know that (12 + 22 + 32 + ... + n2) =	1/6	n(n + 1)(2n + 1)   Putting n = 10, required sum =1/6 x 10 x 11 x 21 =385   Option 385
Answer: C
A train met with an accident 70km away from station A. It completed the remaining journey at 5/6th of the original speed and reached station B 1hr 12mins late. Had the accident taken place 60km further, it would have been only 1hr late. what was the original speed of the train?
Choose the correct choice from the following answers
A) 60 km/hr
B) 55 km/hr
C) 65 km/hr
D) 70 km/hr
E) 48 km/hr

Solution: let the original speed be 6x. A/q, traveling 70 km at 5/6th of original speed costs him 12 minutes etc   70/5x =70/6x +12/70 -> x =10 , 7x= 70.   Ans 70 km/hr
Answer: D
If R, x, y, and z are positive integers and (x)×(y)×(z)=R^2, which of the following could be the values of x, y, and z?
Choose one.
A) 3, 16, 25 B) 9, 25, 24 C) 2, 9, 32 D) 2, 9, 16 E) 8, 16, 36

Solution: This is one of those questions where using the given options is fastest way to get the solution. We need to find a set where 3 numbers can be paired into 2 pairs of some numbers because we need a product which is a square number.   C fits the bill. 2*9*32 = 2*3*3*8*4 = 3*3*8*8   ans 2, 9, 32
Answer: C
The average of 5 quantities is 8. The average of 3 of them is 4. What is the average of remaining 2 numbers?  Select the correct option:
A) 14	B) 10	C) 8	D) 9.5	E) None of these

Solution: 14NSWER: 14   (5x8-3x4)/2=14
Answer: A
In the first 10 overs of a cricket game, the run rate was only 2.1. What should be the rate in the remaining 30 overs to reach the target of 282 runs?
Choose the correct choice:
A) 6.25	B) 8.28	C) 6.11	D) 8.7	E) 8.11

Solution: Required run rate   = [282 - (2.1 * 10)]/30   = 261/30= 
261/30 = 87/10 = around 8.7
8.70   Answer:8.7
Answer: D
The area of a square is equal to five times the area of a rectangle of dimensions 125 cm * 64 cm. What is the perimeter of the square? Pick one:
A) 388 B) 800 C) 277 D) 126 E) 191

Solution: Area of the square = s * s = 5(125 * 64)   => s = 25 * 8= 
25 * 8 = 200
200 cm   Perimeter of the square= 4 * 200= 
4 * 200 = 800
800 cm.   Answer: 800
Answer: B
A is twice as good a work man as B and together they finish the work in 14 days. In how many days A alone can finish the work? Pick.
A) 23	B) 21	C) 77	D) 92	E) 61

Solution: WC = 2:1   2x + x = 1/14 => x = 1/42   2x = 1/21   A can do the work in 21 days.   Answer: 21
Answer: B
A bag contains 18 purple jellybeans, 12 green jellybeans, and 16 yellow jellybeans; these jellybeans are the only items in the bag. If a person picks a jellybean at random out of the bag, what is the probability that the jellybean will be green?
Options
A) 15% B) 20% C) 26% D) 30% E) 35%

Solution: Probability of green beans = 12 / (18 + 12 + 16) = 12/46 = 26%   Answer is 26%
Answer: C
24 men can complete a work in 16 days.32 women can complete the same work in 24 days.16 men and 16 women started working and worked for 12 days. How many more men are to be added to complete the remaining work in 2 days? Pick
A) 16 B) 24 C) 36 D) 48 E) 49

Solution: Explanation:   1man’s 1 day work = 1/384   1 woman’s 1 day work = 1/768   work done in 12 days =12(16/384+16/768) =12*3/48 = 3/4   remaining work =1/4   (16 men + 16 women)’s 2 day work =2(16/384+16/768) = 1/8   remaining work = 1/4 - 1/8 =1/8   1/384 work is done in 1 day by 1man 1/8 work will be done in 2 days by 384 x 1/8 x 1/2 = 24 men   Answer: Option 24
Answer: B
Raju age after 15 years will be 5 times his age 5 years back, What is the present age of Raju	Choose the correct choice from the following answers: A) 28 B) 17 C) 10 D) 77 E) 66

Solution: 10learly,   x+15 = 5(x-5)   <=> 4x = 40 => x = 10   Answer:10
Answer: C
Arun purchased 35 kg of rice at the rate of Rs 9.50 per kg and 30 kg at the rate of Rs 10.50 per kg. He mixed the two. Approximately, at what price per kg should he sell the mixture to make 35 % profit in the transaction?. Choose the correct choice.
A) 12 Rs  B) 13 Rs  C) 13.5 Rs  D) 14 Rs  E) None of these

Solution: Explanation :   Cost Price of 65 kg rice = Rs. (35 x 9.50 + 30 x 10.50)   = 647.50 Rs   Sell Price of 65 kg rice = 135 % of 647.50 = Rs (135/100) x 647.50   Sell Price per kg = (135/100) x 647.50 x (1/65) = 13.44=Rs. 13.50 (Appx.)   Answer : 13.5 Rs
Answer: C
In what time will a train 150 m long cross an electric pole, it its speed be 144 km/hr?
Choose the correct option.
A) 2.5 sec
B) 3.75 sec
C) 3.5 sec
D) 7.5 sec
E) 2.4 sec

Solution: Speed = 144 * 5/18= 
144 * 5/18 = 40
40 m/sec   Time taken= 150/40= 
150/40 = 15/4 = around 3.75
3.75 sec.   Answer: 3.75 sec
Answer: B
How long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 170 m in length?	Choose the most appropriate option:
A) 16.7	B) 16.8	C) 16.5	D) 16.1	E) 16.2

Solution: D = 110 + 170= 
110 + 170 = 280
280 m   S= 60 * 5/18 = 50/3   T = 280 * 3/50= 
280 * 3/50 = 84/5 = around 16.8
16.8 sec   Answer:16.8
Answer: B
A women travels from X to Y distance of 1000 miles in 10 hours. she returns to X in 4 hours. Find her average speed	Options:  A) 300mph  B) 150.2mph  C) 142.8mph  D) 200mph  E) 111.01mph

Solution: Speed from X to Y = 1000/10= 
1000/10 = 100
100 mph   Speed from Y to X= 1000/4= 
1000/4 = 250
250 mph   Average speed= 2*100*250 / 350 = 142.8mph   Answer is 142.8mph
Answer: C
In her backyard, Florry grows only yellow roses and white roses. Some of the rose bushes have flowers of both colors, and some have flowers of one color only. The number of rose bushes that have only yellow roses is 50% greater than the number of rose bushes that have only white roses. If there are yellow roses on 80% of Florry's rose bushes, then what percent H of her bushes have only yellow roses?
Select the correct option:
A) 20
B) 30
C) 50
D) 70
E) 80

Solution: let, the number of bushes with only yellow flowers be x   so, number of bushes with only yellow flowers will be 1.5x   if total number of bushes of flowers= T   then total number of bushes with yellow flowers= 0.8T   we can say that total number of bushes with yellow flowers+ bushes with only white flowers= total number of bushes with flowers   so,H= 0.8T+x=T   x=0.2T   so, 1.5x=0.3T   30% flowers are yellow flowers   OA 30
Answer: B
If the diagonals of a rhombus are 24 cm and 10 cm, what will be its perimeter
Choose the correct choice from the following options: A) 42 cm B) 64 cm C) 56 cm D) 52 cm E) None of these

Solution: Explanation : Let the diagonals be PR and SQ such that PR = 24 cm and SQ = 10 cm PO = OR = 24/2= 
24/2 = 12
12 cm   SO= OQ = 10/2= 
10/2 = 5
5 cm   PQ= QR = RS = SP = √(122 + 52) = √(144+25)= 
(144+25) = 169
√169= √13 cm   perimeter = 4 × 13 = 52 cm Answer : Option 52 cm
Answer: D
If a bike moving at the speed of x km/hr travels a distance of y km, which of the following cannot be equal to the distance traveled? Choose the correct option:
A) x-y km
B) x/2 km
C) y-x km
D) y/x km
E) (x-y)/2 km

Solution: This question can be solved by TESTing VALUES, but there's a particular pattern that you have to recognize to make the workeasy.   We're not really limited by anything in this question, so X and Y can be anything. Under normal circumstances, I won't TEST the number 1 in PS questions (as it often leads to duplicate answers), but here it's a great option (since we're looking to eliminate 4 answers, multiple TESTs are going to be likely anyway).   We're given information on speed (X km/hour) and distance (Y km). We're asked which of the 5 answer choices CANNOT be the distance traveled.   IF....   X = 2 and Y = 1   Answers A (2-1 = 1) and B (2/2 = 1) are POSSIBLE. Eliminate A and B.   IF....   X = 3 and Y = 1   Answer E ([3-1]/2 = 1) is POSSIBLE. Eliminate E.   IF....   X = 1 and Y = 1   Answer D (1/1 = 1) is POSSIBLE. Eliminate D.   Final Answer:   y-x km
Answer: C
A tank is filled in eight hours by three pipes A, B and C. Pipe A is twice as fast as pipe B, and B is twice as fast as C. How much time will pipe B alone take to fill the tank? Pick:
A) 24 hours  B) 28 hours  C) 32 hours  D) 36 hours  E) None of these

Solution: Explanation:   1/A + 1/B + 1/C = 1/8 (Given)   Also given that A = 2B and B = 2C   => 1/2B + 1/B + 2/B = 1/8   => (1 + 2 + 4)/2B = 1/8   => 2B/7 = 8   => B = 28 hours.   ANSWER IS 28 hours
Answer: B
The price of a jacket is reduced by 25%. During a special sale the price of the jacket is reduced another 30%. By approximately what percent must the price of the jacket now be increased in order to restore it to its original amount?	Options
A) 105	B) 45	C) 85	D) 95	E) 90.5

Solution: 1) Let the price of jacket initially be $100.   2) Then it is decreased by 25% , therefore bringing down the price to $75.   3) Again it is further discounted by 30%, therefore bringing down the price to $52.5.   4) Now 52.5 has to be added byX %in order to equal the original price.   52.5 + ( X% )52.5 = 100.   Solving this eq for X, we get X = 90.5   Ans is 90.5
Answer: E
A trader marks his articles 20% more than the cost price. If he allows 20% discount, then find his gain or loss percent? Select the correct option.
A) 1
B) 2
C) 3
D) 7
E) 4

Solution: Let CP of an article = RS. 100   MP= Rs. 120   Discount = 20%   SP = M[(100 - d%)/100] = 120(80/100) = Rs. 96   Clearly, the trader gets 4% loss.   Answer: 4
Answer: E
A survey was sent to 80 customers, 7 of whom responded. Then the survey was redesigned and sent to another 63 customers, 9 of whom responded. By approximately what percent did the response rate increase from the original survey to the redesigned survey?	Choose one:  A) 2%  B) 5%  C) 14%  D) 28%  E) 63%

Solution: case 1: (7/80)=x/100   x=9%   case 2: (9/63)=y/100   y=14%   So percent increase is =(y-x)=(14-9)= 
(14-9) = 5
5%   Answer is 5%
Answer: B
How many multiples of 5 are there between 5 to 85?  Options.
A) 15	B) 18	C) 17	D) none of these	E) Cannot be determined

Solution: Explanation :   As you know, multiples of 5 are integers having 0 or 5 in the digit to the extreme right (i.e. the units place).   So the numbers are 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80.   15nswer : 15
Answer: A