MU-NLPC/Calc-aqua_rat huggingface dataset:
Two vehicles A and B leave from Y to X. A overtakes B at 10:30 am and reaches X at 12:00. It waits for two hours and returns to Y. On its way, it meets B at 3 PM and reaches Y at 5 PM. B reaches city X waits for 1 hour and returns to y After how many hours will B reach to Y from the time A overtook him.  Choose the most appropriate option.
A) 40.5 B) 41.5 C) 42.5 D) 43.5 E) 44.5

Solution: Let the distance between City X and Y be D   As given - B leaves City X at 2:00 (12:00 + 2 hrs halt) and reaches City Y at 5:00   So it takes him 3 hours to cover distance D.   Now, A overtakes B at 10:30 and reaches city Y at 12:00 pm , which means that A traveled for 1:30 hr.   Now see,   A takes 3 hrs takes to cover distance D   so in 1.5 hrs A will cover D / 2 distance   Now see another part -   "On its way, it meets B at 3 PM and reaches Y at 5 PM."   Given that - B leaves City Y at 2 PM   So distance covered by A in 1 hr (3 - 2) = D / 3   Now Total Distance covered by B during (A overtaking B + A wait for two hour + A on its way back ) is   D / 2 [when they first overtake] - D / 3 [when they again overtake]   = D / 6   Now Time elapsed during this period (A overtaking B + A wait for two hour + A on its way back )   =1.5 + 2 + 1= 
1.5 + 2 + 1 = 4.5
4.5   so to cover D / 6 distance B took 4.5 hr   to cover D distance B will take   (4.5 * 6)= 
  (4.5 * 6) = 27
27 hr.   Now "After how many hours will 41.5 reach to Y from the time A overtook him."   Time to reach X after A overtook (D / 2) + wait + Time to reach Y from X (D)= 13.5 + 1 + 27= 
13.5 + 1 + 27 = 41.5
41.5   ANSWER:41.5
Answer: B
By selling 22 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?	Choose the correct choice from the following answers
A) 83 B) 63 C) 53 D) 33 E) 13

Solution: 80% --- 22   120% --- ?   80/120 * 22 = 33   Answer:33
Answer: D
In a group of 100 people,60 like volleyball,50 like hockey. How many like both volleyball and hockey?  Options.
A) 20	B) 15	C) 10	D) 5	E) 25

Solution: Make a Venn diagram, and enter your data.   Let the number of people who like both volleyball and hockey be x   60-x+x+50-x = 100   x = 10   so number who like both volleyball and hockey = 10   Answer 10
Answer: C
In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 60 questions and secures 160 marks, the no of questions he attempts correctly is :	Pick one
A) 35 B) 38 C) 40 D) 42 E) 44

Solution: Explanation:   Let the number of correct answers be X.   Number of incorrect answers = (60 – X).   4x – (60 – x) = 160   => 5x = 220   => x = 44   Answer: 44
Answer: E
A man can row downstream at 20 kmph and upstream at 10 kmph. Find the speed of the man in still water and the speed of stream respectively?	Choices:
A) 3
B) 5
C) 6
D) 4
E) 9

Solution: Let the speed of the man in still water and speed of stream be x kmph and y kmph respectively.   Given x + y = 20 --- (1)   and x - y = 10 --- (2)   From (1) & (2) 2x = 30 => x = 15, y = 5. Answer: 5
Answer: B
Jim covers a distance of 8km in 50 minutes. If he covers 3km distance in 2/5th of time then, What speed should he maintain to cover the remaining distance in the remaining time?
Choose the correct option.
A) 15 Kmph	B) 18 Kmph	C) 19 Kmph	D) 20 Kmph	E) 21 Kmph

Solution: Total distance = 8 Km   Total time = 50 Km   Time taken to cover the distance of 3 Km = 50*2/5= 
50*2/5 = 20
20 min= 1/3 hours   Remaining distance = 8 - 3= 
8 - 3 = 5
5 Km   Required speed= 5/1/3 = 15 Kmph   15 Kmph)
Answer: A
The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 17. The larger of the two numbers is:  Select.
A) 276  B) 299  C) 391  D) 345  E) 354

Solution: Clearly, the numbers are (23 x 13) and (23 x 17).   Larger number = (23 x 17) = 391.   Answer: Option 391
Answer: C
If 25% of a number is subtracted from a second number the second number reduces to its five-sixths. What is the ratio between the first number and the second number?
Choices: A) 2 : 3 B) 3 : 2 C) 1 : 3 D) Data inadequate E) None of these

Solution: Let the first and second number be x and y respectively.   x - y × 25⁄100 = y × 5⁄6   or, y - x⁄4 = 5⁄6y   or, 1⁄6y = x⁄4y   \ x : y = 2 : 3   2 : 3nswer 2 : 3
Answer: A
There are c cities. What is the number of airlines that connected 2 different cities (airline from city A to city B is different with airline from city B to city A)? Choose the correct option.
A) c(c-1) B) n(n+1) C) n(n-1)/2 D) n(n+1)/2 E) n2

Solution: First of all, the possible number of airlines is c. Then, the possible number of airlines departing from one city to another becomes (c-1). Hence, the answer is c(c-1), c(c-1)
Answer: A
A dishonest grocer professes to sell pure butter at cost price, but he mixes it with adulterated fat and thereby gains 20%. Find the percentage of adulterated fat in the mixture assuming that adulterated fat is freely available?
Choose the correct choice from the following answers:  A) 20%  B) 25%  C) 33.33%  D) 40%  E) 35%

Solution: Say 100g pure butter costs $100   But; $100 is his 25% profit because he just used 80gram pure butter.   80g would have costed him $80 and he sold it for $100 by adding 20g of freely available fat. $100 is 1.20(75)   so;   total weight=100g   fat=20g   25%   25%
Answer: B
The work done by a man, a woman and a child is in the ratio of 3:2:1. There are 20 men, 30 women & 48 children in a factory. Their weekly wages amount to Rs.840, which is divided in the ratio of work done by the men, women and children. What will be the wages of 15 men, 21 women & 30 children for 2 weeks? Choose the correct choice from the following options: A) Rs.1000 B) Rs.1050 C) Rs.1170 D) Rs.1900 E) Rs.1230

Solution: sax Ratio of wages of 20 men, 30 women   and 45 chﬂdren perweek   : (3 x 2o):(2 x 30) (1 x 43) 5   Total wages or 20 men per week   = R5 300   Therefore, wages of a man per week : Rs 15,   sirmlarly, wages of woman per week   : Rs 10 and wages ofchwld perweek Rs 5   Total wages of (15 men, 21 women and 30   chﬂdrenj perweek   = 15x15 + 21x10 + 30x5 = 585   Total wages for 2 weeks = Rs.1170   Rs.1170
Answer: C
5^100 is divided by 18. Then what is the remainder?  Answers
A) 10
B) 11
C) 13
D) 15
E) 19

Solution: Here N = 18=2×32   ϕ(18)=18(1−12)(1−13) = 6   So 56 when divided by 18, remainder is 1.   So we can write the given expression 5100=(56)16×54 = (1)16×54 = 52×52=7×7=49   Now 49 when divided by 18, remainder is 13.   13
Answer: C
A certain bus driver is paid a regular rate of $16 per hour for any number of hours that does not exceed 40 hours per week. For any overtime hours worked in excess of 40 hours per week, the bus driver is paid a rate that is 75% higher than his regular rate. If last week the bus driver earned $920 in total compensation, how many total hours did he work that week? Choose the correct choice from the following choices
A) 36  B) 50  C) 44  D) 48  E) 52

Solution: For 40 hrs = 40*16= 
40*16 = 640
640   Excess= 920-640= 
920-640 = 280
280   For extra hours=.75(16)=12+16= 
12+16 = 28
28   Number of extra hrs=280/28= 
280/28 = 10
10   Total hrs=40+10= 
40+10 = 50
50   Answer 50 50
Answer: B
The bankerâ€™s gain on a sum due 3 years hence at 10% per annum is Rs. 120. The bankerâ€™s discount is
Options
A) Rs.960  B) Rs.840  C) Rs.520  D) Rs.760  E) None

Solution: Solution   T.D	=(B.G x 100 / R x T)   = Rs.(120x100/10 x 3)   = Rs.400.   B.D   =Rs(400+ 120)   = Rs.520.   Answer Rs.520
Answer: C
Three people took GMAT practice tests in which the minimum and maximum possible scores are 200 and 800, respectively. They each took a test 4 times, and no one scored below 610 or over 780. If the individual ranges of the three people's scores in those 4 practice tests were 50, 80 and 90, what is the difference between the maximum and minimum possible ranges of all their scores put together.
Choose the correct choice from the following answers
A) 70
B) 80
C) 90
D) 100
E) 110

Solution: According to the information in the question the maximum range would be between 610 and 780(170). The minimum range would be the greatest range for any one individual, which is listed in the problem as 90. So the difference between these would be 170-90 or 80.   Answer: 80
Answer: B
Nine men went to a hotel. 8 of them spent 3 each over their meals and the ninth spent 8 more than the average expenditure of all the nine. The total money spent by all of them was
Pick:
A) 36
B) 40
C) 29.25
D) 27
E) None of the above

Solution: Let the average expenditure of all the ninte be x   Then, 3 × 8 + x + 8 = 9x   ⇒ x = 4   ∴ Total money spent = 9x = 9 × 4 = 36   36nswer 36
Answer: A
At 12:00 a.m., Tom begins traveling on a certain bike path from Riverdale at a constant rate of 10 mph. If, at 3:00 p.m., Jim begins traveling from Riverdale on the same path at a constant rate of 20 mph, at what time will he catch up to Peter?	Choose the correct choice from the following answers.
A) 5:00 p.m.
B) 6:00 p.m.
C) 7:00 p.m.
D) 8:00 p.m.
E) 9:00 p.m.

Solution: 6:00 p.m.y the time Jim starts, Tom has already covered = 3 hr * 10 mph = 30 miles   Relative speed = 20- 10= 
20- 10 = 10
10mph   To catch up, Jim needs to cover 30 miles which can be covered in= 30/10= 
30/10 = 3
3hours   If Jim leaves at 3 pm, he will catch Tom at 6 pm   Answer: 6:00 p.m.
Answer: B
In a certain province in France there are 19 cities. If a single road segment connects only two cities, how many road segments are required in order to connect the cities so that each city is connected to all other cities with a single road segment? Choose the most appropriate option.
A) 30
B) 105
C) 330
D) 143
E) 171

Solution: 1 city needs 18 roads to connect directly to the rest => 19 city needs 19*18 roads.   One road is counted twice => the number of road needed is 19*18/2= 
19*18/2 = 171
171   Answer 171
Answer: E
The difference between C.I. and S.I. on an amount of $10,000 for 2 years is $49. What is the rate of interest per annum?  Options:
A) 5%  B) 6%  C) 7%  D) 8%  E) 9%

Solution: $49 is the interest on the first year of interest.   Let x be the interest rate.   The interest after the first year is 10000*x.   The interest on the first year's interest is 10000*x*x   10000*x^2 = 49   x = 0.07   The answer is 7%.
Answer: C
75% of the guestrooms at the Stagecoach Inn have a queen-sized bed, and each of the remaining rooms has a king-sized bed. Of the non-smoking rooms, 60% have a queen-sized bed. If 32% of the rooms at the Stagecoach Inn are non-smoking rooms with king-sized beds, what percentage of the rooms permit smoking?  Choose the most appropriate option:
A) 20%
B) 30%
C) 50%
D) 55%
E) 75%

Solution: Let x be the number of non-smoking rooms.   Let N be the total number of rooms at the inn.   40% of non-smoking rooms have a king-sized bed.   0.4x = 0.32N   x = 0.8N   The percentage of rooms which permit smoking is 1 - 0.8 = 20%   The answer is 20%.
Answer: A
A single discount equivalent to the discount series of 30%, 10% and 5% is?
Pick one:
A) 31.5	B) 31.8	C) 40.1	D) 31.3	E) 31.1

Solution: 100*(70/100)*(90/100)*(95/100)   = 59.9   100 - 59.9= 
100 - 59.9 = 40.1
40.1   Answer:40.1
Answer: C
A table is bought for Rs.800/- and sold at a loss of 10% find its selling price	Pick.
A) s.500/-	B) s.530/-	C) s.540/-	D) s.600/-	E) s.720/-

Solution: 100 % ------> 800 (100 * 8 = 800)   90 % ------> 720 (90 * 8 = 720)   Selling price = Rs.720/-   s.720/-
Answer: E
A merchant marks his goods up by 40% and then offers a discount of 15% on the marked price. What % profit does the merchant make after the discount?
Choose the correct option.
A) 21%
B) 25%
C) 69%
D) 31%
E) 19%

Solution: Let the original price be 100.   After 40% markup, price = 140   After 15% discount on this marked-up price, price = 140 - (15% of 140) = 140 - 21= 
140 - 21 = 119
119   Final profit= ((119-100) / 100) * 100= 
((119-100) / 100) * 100 = 19
19%   Option 19%
Answer: E
A completes a work in 6 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
Choose the correct choice from the following
A) 8 days  B) 9 days  C) 10 days  D) 4.8 days  E) 13 days

Solution: 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 = 6 × 24/ 30 = 4.8 days.   4.8 days
Answer: D
A man swims downstream 40 km and upstream 30 km taking 5 hours each time, what is the speed of the man in still water?	Choose one:
A) 12 B) 8 C) 36 D) 5 E) 7

Solution: 40 --- 5 DS = 8   ? ---- 1   30 ---- 5 US = 6   ? ---- 1 M = ?   M = (8 + 6)/2= 
(8 + 6)/2 = 7
7   Answer: 7
Answer: E
How many total number of ways in which a distinct objects can be put into two different boxes is	Choose the correct option
A) n2  B) 2a  C) 2n  D) 3n  E) None of these

Solution: Let the two boxes be B1 and B2. There are two choices for each of the a objects. So, the total number of ways is   2 × 2 ×.....× 2 (a times ) = 2a   Answer 2a
Answer: B
An investor invests in a new fund. The fund averages 20% growth annually for the first three years, but it loses 20% of its value in the fourth year. At the end of four years, the value of the fund is approximately what percent of the original amount?  Pick one:	A) 119.45%	B) 129.56%	C) 138.24%	D) 141.92%	E) 145.36%

Solution: 0.8*1.2^3 = 1.3824   The answer is 138.24%.
Answer: C
There r 4 prime numbers in ascending order. The multiplication of first 3 is 385 and that of last 3is 1001. what is the last number is
Choose the correct choice from the following.
A) 10	B) 12	C) 14	D) 13	E) 16

Solution: Explanation:   abcbcd=3851001=>ad=513   abcbcd=3851001=>ad=513   So d = 13   13
Answer: D
A merchant has selected two items to be placed on sale, one of which currently sells for 30 percent less than the other. If he wishes to raise the price of the cheaper item so that the two items are equally priced, by what percentage must he raise the price of the less expensive item?	Pick one
A) 22 % B) 30% C) 42 6/7% D) 70% E) 130%

Solution: Expensive item = $100;   Cheap item = $70;   We must increase $70 to $100, so by $30, which is approximately 40% increase: (100-70)/70 = 3/7 = ~0.42.   Answer: 42 6/7%.
Answer: C
A and B starts a business with Rs.8000 each, and after 4 months, B withdraws half of his capital . How should they share the profits at the end of the 18 months?  Choose one.
A) 18:11	B) 18:16	C) 18:17	D) 18:18	E) 18:12

Solution: A invests Rs.8000 for 18 months, but B invests Rs.8000 for the first 4 months and then withdraws Rs.4000. So, the investment of B for remaining 14 months is Rs.4000 only.   18:11 : B   8000*18 : (8000*4) + (4000*14)   14400 : 88000   18:11:B = 18:11   18:11nswer:18:11
Answer: A
Find a sum for first 3 prime number'ss?	Answers.
A) 25  B) 10  C) 15  D) 12  E) 36

Solution: Required sum = (2 + 3 + 5)= 
(2 + 3 + 5) = 10
10   Note: 1 is not a prime number   Option 10
Answer: B
Father is aged square times more than his son john. After 3 years, he would be three times of John's age. what would be the age of John's Father after 15 years ?
Choices: A) 18 B) 36 C) 40 D) 57 E) 45

Solution: Let Father's age be J and John's' age be D...   Given J   + 3= 
  + 3 = 3
3(D + 3 )=> J - 6 = 3D -> Eq1.   Given J-6 = (D-6)^2 --> Eq 2..   sub J-6 value in eq 2... 3D = D^2 - 12D + 36.   0 = D^2 - 15D + 36 => D = 12 or D = 3.   When D = 12 we get from eq 1... J+3 = 45 => J =42..   When D = 3 ..we get from eq 1.. J+3 = 18 => J = 15...   In the above options only 42 exits..   IMO option 57 is correct answer..
Answer: D
An outlet pipe can empty 2/3 of a cistern in 16 minutes. In 8 minutes, what part of the cistern will be emptied?  Options:	A) 1/2	B) 1/3	C) 1/4	D) 2/5	E) 3/10

Solution: 8/16 * 2/3 = 1/3   The answer is 1/3.
Answer: B
What is the probability that a 4-person committee chosen at random from a group consisting of 6 men, 7 women, and 5 children contains at least 1 woman? Choose the correct choice from the following choices:	A) 11/102	B) 77/204	C) 77/102	D) 91/102	E) 31/34

Solution: Total Members = 6+7+5= 
6+7+5 = 18
18   Total ways of making 4 person committee= 18C4 = 3060   Total Members without women = 6+5= 
6+5 = 11
11   Total ways of choosing e person committee without any women= (6+5)C4 = 330   favorable probability = 1- (330/3060) = 1- (11/102) = 91/102   Answer: option 91/102
Answer: D
The sum of two numbers is 30 and their difference is 10. Find their product.
Choose the correct choice from the following answers
A) 104 B) 108 C) 114 D) 325 E) 200

Solution: Sol.   Let the numbers be x and y.   Then, x + y = 30 and   x - y = 10   2x = 40 +> x =20 , so y = 10   x y = 20*10= 
20*10 = 200
200   Answer : 200
Answer: E
A person walking at 4 Kmph reaches his office 8 minutes late. If he walks at 6 Kmph, he reaches there 8 minutes earlier. How far is the office from his house? Choose the correct choice from the following:  A) 4 1/5 Km  B) 4 1/7 Km  C) 3 1/5 Km  D) 3 1/7 Km  E) 3 2/5 Km

Solution: Formula = S1*S2/S2-S1 * T1+T2/60   = 4*6/2 * 16/6   = 24/2 * 16/60   = 8 * 2/5   = 16/5 = 3 1/5 Km   3 1/5 Km)
Answer: C
3 candidates in an election and received 1136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election? Options:
A) 45%  B) 49%  C) 57%  D) 59%  E) 61%

Solution: Total number of votes polled = (1136 + 7636 + 11628)= 
(1136 + 7636 + 11628) = 20_400
20400   So, Required percentage= 11628/20400 * 100= 
11628/20400 * 100 = 57
57%   57%
Answer: C
A bag contains a certain number of 50 paise coins, 20 paise coins and 10 paise coins inthe ratio 3:4:5. If the total value of all the coins in the bag is Rs.400, find the number of 10 paise coins ?
Choose one:
A) 914	B) 714	C) 718	D) 724	E) 814

Solution: 50*3k + 20*4k + 10*5k = 40000   280k = 40000 => k = 142.85   50p coins = 3k = 3*142.85 = 428   20p coins = 4k = 4*142.85 = 571   10p coins = 5k = 5*142.85 = 714   ANSWER:714
Answer: B
The decimal d is formed by writing in succession all the positive, even integers in increasing order after the decimal point; that is d = 0.246810121416...
What is the 100th digit of d to the right of decimal point?	Choose the most appropriate option.
A) 6  B) 1  C) 0  D) 2  E) 8

Solution: One-digit even numbers: There are (1)(10/2) = 4 even one-digit numbers.   0.2468   4 digits down, 96 remaining. The next 5 even numbers will be 10, 12, 14, 16, and 18, ... so it follows that: (2)(5) = 10 digits.   Two-digit numbers: 90 digits, which brings us to the number 98.   Three-digit numbers: we only need 6 more digits. The next even numbers are 100, and 102, thus 2 is the 100th digit.   Answer: 2
Answer: D
The length of the bridge, which a train 120 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
Answers:
A) 255  B) 267  C) 255  D) 277  E) 211

Solution: Speed = [45 X 5/18] m/sec = [25/2] m/sec   Time = 30 sec   Let the length of bridge be x metres.   Then, (120 + x)/30 = 25/2   => x = 255 m. Answer:255
Answer: C
The speed of a boat in still water is 65kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?  Select:	A) 22 kmph	B) 40 kmph	C) 78 kmph	D) 15 kmph	E) 45 kmph

Solution: Speed downstream = 65 + 20= 
65 + 20 = 85
85 kmph   Speed upstream= 65 - 20= 
65 - 20 = 45
45 kmph   Answer:45 kmph
Answer: E
Two motor cycles were sold for Rs 9,900 each, gaining 10% on one and losing 10% on the other. The gain or loss per cent in the whole transaction is
Choose the most appropriate option.
A) Neither loss nor gain
B) 1% profit
C) 100/99 % profit
D) 1% loss
E) None of these

Solution: C.P. of the 1st Motor Cycle = (9900 x 100)/(100 + 10) = Rs 9000   C.P. Of the 2nd Motor Cycle = (9900 x 100)/(100 - 10) = Rs 11000   Total C.P = Rs 20,000   Total S.P = Rs 19,800   Therefore, Loss per cent = (200/20000) x 100 = 1   ANSWER:1% loss
Answer: D
A sales representative receives a salary of $150 per week and earns a commission of 15% on all sales she makes. How many dollars’ worth of sales does she need to make in order to bring her total weekly income to $600?  Pick one:
A) $3,000	B) $3,150	C) $4,000	D) $4,150	E) $5,000

Solution: Total salary = $150+ 15% (x) where x = all the sales she makes.   How much x should be for total to be 600   $150+15%(x) = $600   15%(x) = $450   x = $3000   $3,000nswer :$3,000
Answer: A
A does half as much work as Band C does half as much work as A and B together. If C alone can finish the work in 30 days, then together ,all will finish the work in :
Choose the correct choice from the following options.
A) 13 1/3 days
B) 12 1/3 days
C) 15 days
D) 12 days
E) 30 days

Solution: C alone can finish the work in 30 days.   (A + B)can do it in 20 days   (A + B)s 1 days wok = 1/20.   As 1 days work : Bs 1 days Work = 1/2 : 1 = 1:2.   Aâ€™s 1 dayâ€™s work = (1/20) * (1/3) = (1/60). [Divide 1/20 in the raio 1:2] Bs 1 days work = (1/20) * (2/3) = 1/30   (A+B+c)S 1 dayâ€™s work = (1/60) + (1/30) + (1/30) = 1/12   All the three together will finish it in 1/12 = 12 days.   ANSWER:12 days
Answer: D
Merry invested Rs. 8000 in a scheme for 3 years at compound interest rate 7% p.a. How much amount will Merry get on maturity of the fixed deposit?
Pick one:	A) s.8980	B) s.9800.34	C) s.9841	D) s.8900	E) s.8820

Solution: Amount = [8000 * (1 + 7/100)3]   = 8000 * 107/100 * 107/100 * 107/100   = Rs.9800.34   Answer:s.9800.34
Answer: B
The number 4 is the smallest positive
integer that has exactly three factors:
1, 2, and 4. If k is the next-highest integer
that also has exactly three factors, what is
the sum of the three factors of k?	Choices:
A) 13  B) 14  C) 16  D) 18  E) 20

Solution: The greatest of the five possible answers is 20, so k is less than 20. Use trial and error to   find the value of k:   Factors of 5: 1 5   Factors of 6: 1 2 3 6   Factors of 7: 1 7   Factors of 8: 1 2 4 8   Factors of 9: 1 3 9   Thus, k = 9, and the sum of the factors of k is 1 + 3 + 9= 
1 + 3 + 9 = 13
13.   correct answer 13)13
Answer: A
A 15 lt mixture contains water with 20% of alcohol.If 5 more lts of water added to the mixture what is the percentage of alcohol?  Choices:	A) 10%	B) 15%	C) 20%	D) 25%	E) 30%

Solution: Initially the mixture contains 20% of 15=15*(20/100)= 
15*(20/100) = 3
3 lts of alcohol   after mixing another 5 lts of water...   the total liquid is 20 lts..   so alcohol percentage=(3/20)*100= 
(3/20)*100 = 15
15%   ANSWER:15%
Answer: B
Two pipes can fill a tank in 12 and 12 hours, while third pipe will make the tank empty in 20 hours. If all three pipes operate simultaneously. In how many hours the tank will be filled ?  Choose the correct option:
A) 5.5 Hours B) 7.5 Hours C) 8.5 Hours D) 9.5 Hours E) 6.5 Hours

Solution: In 1 hour it fill 1/12 + 1/12 - 1/20 = 7/60   So fill tank fillup in 60/7 = 8.5 Hours   ANSWER:8.5 Hours
Answer: C
A set of 17 different integers has median of 25 and a range of 25. What is greatest possible integer that could be in this set?
Pick.
A) 32 B) 37 C) 40 D) 45 E) 50

Solution: The correct answer is D.   A set of 17 different integers has median of 25 and a range of 25. What is greatest possible integer that could be in this set?   Given 15 different integers, lets say   n1, n2, n3, n4, n5, n6, n7, n8, n9, n10, n11, n12, n13, n14, n15   Also given median is 25 i.e. n8 = 27   n1, n2, n3, n4, n5, n6, n7, 25, n9, n10, n11, n12, n13, n14, n15   As each integer is different we need to find the maximum values for all those numbers before the median.   the maximum value n7 can have is one less then the median i.e. 24, similarly n6 will be one less than 24 i.e. 23 ... using this process the values for all number before the median would be..   18, 19, 20, 21, 22, 23, 24, 25, n9, n10, n11, n12, n13, n14, n15   Also given the range is 25 i.e. n15 - n1 (18) = 27   The maximum value n15 can have is 27 + n1 (18) = 45   45
Answer: D