MU-NLPC/Calc-aqua_rat huggingface dataset:
A man sitting in a train which is travelling at 20 kmph observes that a goods train, travelling in opposite direction, takes 9 seconds to pass him. If the goods train is 280 m long, find its speed?
Choose the most appropriate option:  A) 52 kmph.  B) 62 kmph.  C) 72 kmph.  D) 92 kmph.  E) None

Solution: Solution   Relative Speed	= (280 / 9)m/sec   = (280/9 x 18/5)   = 112 kmph.   Speed of the train	= (112 - 20)= 
(112 - 20) = 92
92 kmph.   Answer 92 kmph.
Answer: D
If the two-digit integers L and N are positive and have the same digits, but in reverse order, which of the following CANNOT be the sum of L and N? Choose the most appropriate option:
A) 181	B) 165	C) 121	D) 99	E) 44

Solution: Since the question asks for the answer that CANNOT be the sum of L and N, and the answers are numbers, we can use a combination of TESTing VALUES and TESTing THE ANSWERS to eliminate the possible values and find the answer to the question.   We're told that L and N are two-digit positive integers and have the SAME DIGITS but in REVERSE ORDER. We're asked which of the 5 answers CANNOT be the SUM of L and N.   Let's start with the 'easiest' answer first:   44. Can we get to 44 in the manner described?   Yes, if the numbers are 13 and 31.....13+31 = 44. Eliminate Answer E   Now let's work through the rest of the list....   Can we get to 99 in the manner described?   Yes, there are several ways to do it. For example, if the numbers are 18 and 81.....18+81 = 99. Eliminate Answer D   Can we get to 121 in the manner described?   Yes, there are several ways to do it. For example, if the numbers are 38 and 83.....38+83 = 121. Eliminate Answer C   Can we get to 165 in the manner described?   Yes, there are a couple of ways to do it. For example, if the numbers are 78 and 87.....78+87 = 165. Eliminate Answer B   There's only one answer left....   181
Answer: A
A tester rejects 0.08% of the meters as defective, How many meters he tested to reject 2 meters ? Choose the correct choice from the following answers:
A) 1200	B) 2400	C) 1400	D) 2500	E) 5400

Solution: Explanation :   It means that 0.08% of x = 2   =>(8/100100x)=2   =>x=2100100/8   =>x=2500   Answer : 2500
Answer: D
In a lottery, there are 12 prizes and 48 blanks. A lottery is drawn at random. What is the probability of getting a prize?
Answers:
A) 1/2  B) 1/3  C) 1/4  D) 1/5  E) 1/6

Solution: P(winning a prize) = 12 / (12+48) = 12/60 = 1/5   The answer is 1/5.
Answer: D
A train 300 m long, running with a speed of 90 km/hr will pass a tree in?
Choose the correct option:
A) 17 sec B) 16 sec C) 18 sec D) 14 sec E) 12 sec

Solution: Speed = 90 * 5/18= 
90 * 5/18 = 25
25 m/sec   Time taken= 300 * 1/25= 
300 * 1/25 = 12
12 sec   Answer: 12 sec
Answer: E
The difference between the simple interest received from two different sources on Rs.1700 for 3 years is Rs.13.50. The difference between their rates of interest is
Choose the correct choice from the following answers:
A) 0.16% B) 0.26% C) 0.36% D) 0.46% E) 0.56%

Solution: (1700xR1x3)/100-(100xR2x3)/100 =13.50   5100(R1-R2)=1350   R1-R2 = 1350/5100=0.26%   answer : 0.26%
Answer: B
Two vessels having volumes in the ratio 3:5 are filled with water and milk solutions. The ratio of milk and water in the two vessels are 1:2 and 3:2 respectively. If the contents of both the vessel are empties into a larger vessel, find the ratio of milk and water in the larger vessel.
Select.
A) 99:61
B) 1:1
C) 61:160
D) 61:99
E) 99:160

Solution: Vessel A = 300 gallons --> milk = 100, water = 200;   Vessel B = 500 gallons --> milk = 300, water = 200;   Vessel A + B = 800 gallons --> milk = 400, water 400.   The ratio = 400/400 --> 1:1   Answer: 1:1
Answer: B
The flowerman sale, all of the prices of the flowers sold were different. If the price of a radio sold at the flowerman sale was both the 17th highest price and the 42th lowest price among the prices of the slowers sold, how many flowers were sold at the flowerman sale? Pick one:	A) 38	B) 34	C) 58	D) 63	E) 73

Solution: 16+41+1= 
16+41+1 = 58
58   Answer: 58
Answer: C
The length of a rectangle is increased by 25% and its breadth is decreased by 15%. What is the effect on its area? Choose the correct choice from the following answers:	A) 1288	B) 1299	C) 10625	D) 10000	E) 2887

Solution: 100 * 100= 
100 * 100 = 10_000
10000   125 * 85= 
125 * 85 = 10_625
10625   Answer: 10625
Answer: C
A person crosses a 1080 m long street in 12 minutes. What is his speed in km per hour?  Answers:
A) 4.1
B) 4.5
C) 4.8
D) 5.4
E) 5.5

Solution: Speed = 1080/(12x60) m/sec   = 1.5 m/sec.   Converting m/sec to km/hr =1.5 x(18/5) km/hr   = 5.4 km/hr.   ANSWER :5.4
Answer: D
A certain school implemented a reading program for its students, with the goal of getting each student to read 3 books per month year-round. If the school has c classes made up of s students in each class, how many books will the entire student body read in one year? Select.
A) 20cs  B) cs/2  C) 36cs  D) (2cs)/12  E) (24c)/s

Solution: Ans: 36cs   Solution: simple multiplication s students , c classes , 3 books/ month= 36 books a year   total number of books = 36cs
Answer: C
the number of zeros at the end of product of prime numbers between 1 and 999999 Choose the correct option:	A) 1	B) 2	C) 3	D) 4	E) 5

Solution: 1 zero at the end because multiplication of 2 and 5 leads to an answer which is a multiple of 10   1NSWER:1
Answer: A
7 girls earn equal to as many boys as are equal to 9 men. All of them earn Rs.105 only. Girl's earnings are?	Choose the correct choice from the following answers
A) 6 B) 5 C) 2 D) 7 E) 2

Solution: 7g=xb=9m   7g+xb+9m ----- 105Rs.   7g+7g+7g ----- 105 Rs.   21g ------ 105 Rs. => 1Mg= 5Rs.   Answer: 5
Answer: B
How many even multiples of 65 are there between 649 and 1301?
Choose the most appropriate option: A) 5 B) 6 C) 9 D) 10 E) 11

Solution: 650 = 10*65   1300 = 20*65   The even multiples are 65 multiplied by 10, 12, 14, 16, 18, and 20 for a total of 6.   The answer is 6.
Answer: B
At a meeting of the local computer user group, each member brought two nonmembers. If a total of 27 people attended, how many were members and how many were nonmembers? Choose the correct answer.
A) 10  B) 13  C) 24  D) 22  E) 18

Solution: Let x= number of members and 2x= number of non-members   x+ (2x)= 27   3x=27   3x/3=27/3= 
27/3 = 9
9   The number of non-members is 2x= 2(9)=18 people, the answer is 18)
Answer: E
How many minutes does it take James to type 8 words if he types at the rate of 4 words per minute?
Choose the correct option:
A) 4 B) 1 C) 2 D) 6 E) 3

Solution: time*rate=job --> time*4=8 --> time=8/4= 
8/4 = 2
2.   Answer: 2.
Answer: C
The sum of money at compound interest amounts to thrice itself in 3 years. In how many years will it be 9 times itself?  Choose the correct answer:
A) 5 B) 4 C) 3 D) 6 E) 7

Solution: 100 ---- 300 --- 3   900 --- 3   ----   6 years   Answer: 6
Answer: D
In how many ways can you seat 7 people on a bench if one of them does not want to sit at either end?	Choose one.
A) 3500 B) 3600 C) 3700 D) 3800 E) 3900

Solution: One person can choose 5 possible chairs to sit. The remaining 6 people can sit in 6! ways.   The number of arrangements is 5*6! = 3600.   The answer is 3600.
Answer: B
Nine persons went to a hotel for taking their meals. Eight of them spent 11 each on their meals and the ninth spend 8 more than the average expenditure of all the nine. What was the total money spent by them?
Options:
A) 108  B) 117  C) 119  D) 122  E) None of the above

Solution: Let the average expenditure of all the nine be x.   Then, 11 × 8 + (x + 8) = 9x or 8x = 96 or x = 12.   ∴ Total money spent = 9x = (9 × 12) = 108.   108nswer 108
Answer: A
Two trains of length 120 meter and 150 meter crosses a stationary man in 10 and 15 seconds respectively. In what time they will cross each other when they are moving in same direction.
Select:
A) 120 sec  B) 125 sec  C) 135 sec  D) 140 sec  E) None of these

Solution: Explanation :   120 = a*10, a = 12 m/sec (speed of first train)   150 = b*15, b = 10 m/sec (speed of second train)   270 = (2)*T, T = 135 seconds   Answer – 135 sec
Answer: C
In an election between two candidates first candidate got 60% of votes polled and second Candidate got 280 votes. The total number of votes polled was?  Choose the correct option.
A) 700 votes  B) 900 votes  C) 1000 votes  D) 1100 votes  E) 1300 votes

Solution: Total = 100 %,   First person got 60%   second person got remaining 40 % of votes.   than 40 % = 280   40% = 40×7 = 280   100% =100×7 =700 votes   700 votes)
Answer: A
A man can row a boat at 20 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 60 km downstream? Choose the most appropriate option:
A) 30/18 hours
B) 37/13 hours
C) 80/13 hours
D) 30/13 hours
E) 30/43 hours

Solution: Speed downstream = 20 + 6= 
20 + 6 = 26
26 kmph.   Time required to cover 60 km downstream= d/s = 60/26   = 30/13 hours.   Answer: 30/13 hours
Answer: D
A pharmaceutical company received $5 million in royalties on the first $20 million in sales of the generic equivalent of one of its products and then $9 million in royalties on the next $108 million in sales. By approximately what percent did the ratio of royalties to sales decrease from the first $20 million in sales to the next $108 million in sales?	Choose the correct answer
A) 8%
B) 15%
C) 45%
D) 52%
E) 67%

Solution: Solution:   This is a percent decrease problem. We will use the formula: percent change = (new – old)/old x 100 to calculate the final answer.   We first set up the ratios of royalties to sales. The first ratio will be for the first 20 million in sales, and the second ratio will be for the next 108 million in sales. Because all of the sales are in millions, we do not have to express all the trailing zeros in our ratios.   First 20 Million   royalties/sales = 5/20 = 1/4   Next 108 Million   royalties/sales = 9/108 = 1/12   Because each ratio is not an easy number to use, we can simplify each one by multiplying each by the LCM of the two denominators, which is 60. Keep in mind that we are able to do this only because our answer choices are expressed in percents.   First 20 Million   royalties/sales = (5/20) x 12 = 3   Next 108 Million   royalties/sales = 9/108 = (1/12) x 12 =1   We can plug 15 and 5 into our percent change formula:   (new – old)/old x 100   [(1 – 3)/3] x 100   -200/3 x 100   At this point we can stop and consider the answer choices. Since we know that 200/3 is just a bit less than ½, we know that -200/3 x 100 is about a 67% decrease.   Answer 67%.
Answer: E
A gardener grows cabbages in her garden that is in the shape of a square. Each cabbage takes 1 square feet of area in her garden. This year, she has increased her output by 191 cabbages as compared to last year. The shape of the area used for growing the cabbages has remained a square in both these years. How many cabbages did she produce this year?
Choose the correct choice from the following answers:
A) 7,251 B) 8406 C) 9216 D) 10,348 E) can not be determined

Solution: Let the side for growing cabbages this year be X ft. Thus the area is X^2.   Let the side for growing cabbages last year be Y ft. Thus, the area was Y^2.   The area would have increased by 191 sq ft as each cabbage takes 1 sq ft space.   X^2 - Y^2 = 191   (X + Y)(X - Y) = 191   191 is a prime number and thus it will be (96+95)*(96-95).   Thus X = 96 and Y = 95   X^2 = 96^2 = 9216   The answer is 9216.
Answer: C
If x = 3z, where z is a prime number greater than 2, how many different positive even divisors does x have, including x?  Pick:
A) 0
B) 1
C) 2
D) 3
E) It cannot be determined from the information given

Solution: z is prime greater than 2 thus z is odd   3z is odd   Thus no even factors   0ns:0
Answer: A
If the ratio of the roots of the equation x2 – 2ax + b = 0 is equal to that of the roots x2 – 2cx + d = 0, then:  Select:
A) a2b = c2d B) a2c = b2d C) a2d = c2b D) d2 b = c2 a E) none

Solution: x^2-2ax+b=0 for this eqn..roots r....R1=2a/1,R2=b/1;   x^2-2cx+d=0 for this eqn ..roots r...R3=2c/1,R4=d;   As per question ,2a/b=2c/d   =>2ad=2bc   ANSWER:a2d = c2b
Answer: C
Which of the following CAN be the least common multiple of two positive integers 5 and 25?	Choose the correct choice: A) 5 B) 10 C) 15 D) 25 E) 20

Solution: LCM of 5, 25 is 25   Answer : 25
Answer: D
A school has received 30% of the amount it needs for a new building by receiving a donation of $500 each from people already solicited. People already solicited represent 60% of the people from whom the school will solicit donations. How much average contribution is requited from the remaining targeted people to complete the fund raising exercise?  Pick one:
A) $200
B) $250
C) $100
D) $350
E) $875

Solution: Let us suppose there are 100 people. 60% of them donated $30000 ( 500 * 60 )   $30000 is 30% of total amount.   So total amount = 30000 * 100/60   Remaining amount is 70% of total amount.   70% of total amount = 30000 * (100/60) * (70/100)= 
30000 * (100/60) * (70/100) = 35_000
35000   This amount has to be divided by 40 ( remaining people are 40 )   So per head amount is  35000/40= 
 35000/40 = 875
$875;   ANSW$875R:$875
Answer: E
Aqua regia is a mixture containing 50 per cent concentrated HCL and 70 per cent concentrated HNo3 in the ratio 1 : 3 respectively. Aqua regia is to be formed with 15 l of HCl of 80 percent concentration and 56 l of HNO3 of 90 per cent concentration by adding water as a diluting agent. Another mixture ’X’ having 40 percent concentrated HCL and 30 percent concentrated H2SO4 in the ratio 5 : 7 respectively is added to the Aqua regia to form a solution of 111 l. Find the ratio of HCL to water in the solution. Only water is used as a diluting agent  Choices:  A) 3 : 8  B) 4 : 7  C) 1 : 3  D) 2 : 5  E) 5 : 2

Solution: 80 % concentrated HCL is to be diluted to form a 50% concentrated HCL solution.   The quantity of water to be added to the l5 l solution is i.e 5:3   Thus, (3/5) X 15 = 9   9 litres of water is added to HCL solution Similarly 16 l of water is added to 90%   concentrated solution of HNO3 to dilute it to 70% concentration.   The total quantity of HCL and HNO3 solutions are 24 l and 72 l respectively and that of the   aqua regia formed is 96 I and that of water in it is 33.6 l   The quantity of mixture ’X’ is 11 I - 96 = 15.   In the mixture X, the quantity of HCL is [(5/12) X 0.6 + (7/12) X 0.7] X 15=(0.25 + 0.41) X 15 = 9.91.   The required ratio is (12 + 2.5)/(33.6 + 9.9) = 14.5/43.5 = 1/3   ANSWER:1 : 3
Answer: C
JOHN and ANDREW can finish John work 30 days if they work together. They worked together for 20 days and then ANDREW left. JOHN finished the remaining work in another 20 days. In how many days JOHN alone can finish the work?  Choose the correct choice from the following.
A) 30 days  B) 60 days  C) 70 days  D) 80 days  E) 90 days

Solution: Amount of work done by JOHN and ANDREW in 1 day = 1/30   Amount of work done by JOHN and ANDREW in 20 days = 20 × (1/30) = 20/30 = 2/3   Remaining work – 1 – 2/3 = 1/3   JOHN completes 1/3 work in 20 days   Amount of work JOHN can do in 1 day = (1/3)/20 = 1/60   => JOHN can complete the work in 60 days   60 days
Answer: B
What is the remainder when 1271 * 1275 * 1279 *1285 is divided by 12? Choose the most appropriate option: A) 0 B) 1 C) 11 D) 3 E) 7

Solution: 1271*1275*1277*1285 = (1272 - 1)(1272 + 3)(1284 - 5)(1284 + 1) = (multiple of 12 - 1)(multiple of 12 + 3)(multiple of 12 - 7)(multiple of 12 + 1)   Now, if we expand this expression all terms but the last one will have a multiple of 12 in them, thus will leave no remainder upon division by 12, the last term will be (-1)(3)(-5)(1) = 15. Thus the question becomes: what is the remainder upon division of 15 by 12? The answer to this question is 3   Answer: 3.
Answer: D
Under whose chairmanship did RBI constitute a Working Group for making balance of payments manual?  Answers.
A) Anand Sinha  B) Harun Rashid Khan  C) Kamalesh Chandra Chakrabarty  D) Deepak Mohanty  E) Kamalesh Chandra Chakrabarty2

Solution: Explanation:   Deepak Mohanty is the highest ranked economist in Reserve Bank of India.   ANSWER: Deepak Mohanty
Answer: D
Jim and Cara begin running at the same time and they start at the same place on a straight path. Jim runs at 6 miles per hour, and Cara runs at 5 miles per hour. After 30 minutes, Jim stops to stretch. If it takes Jim 18 minutes to stretch and Cara continues to run during this time, how many minutes will it take Jim to catch up to Cara?  Choose the correct option.
A) 40  B) 50  C) 60  D) 70  E) 80

Solution: In 30 minutes, Jim runs 3 miles.   In 48 minutes, Cara runs 4 miles.   Jim can catch Cara at a rate of 1 mile per hour.   Since Cara is ahead by 1 mile, it will take Jim 1 hour = 60 minutes to catch Cara.   the answer is 60.
Answer: C
John bought a 1-year, $20,000 certificate of deposit that paid interest at an annual rate of 10 percent compounded semiannually. What was the total amount of interest paid on this certificate at maturity? Choices:	A) $2150	B) $2050	C) $2250	D) $2350	E) $2400

Solution: 10 percent compounded semiannually --> 5% in 6 moths.   For the first 6 moths interest was 5% of $20,000, so $1000;   For the next 6 moths interest was 5% of $21,000, so $1050   Total interest for 1 year was $1000+$1050=$2050   Answer : $2050  1000+ 1050= 
  1000+ 1050 = 2_050
$2050   Answer : $2050
Answer: B
If a survey shows that 30 citizens out of a sample of 300 support a particular Senate bill, what percent of the sample does not support the bill?  Choices
A) 90% B) 64% C) 72% D) 82% E) 86%

Solution: 30 out of 300 supports the bill and we are asked to find the percent who the does not support the bill.   30 out of 300 supports the bill = 10 out of 100 supports the bill ( taking in % terms )   14 out of 100 supports the bill = 10 (100-10) doesn't support the bill   So, answer is (90%) 90%
Answer: A
Albert and Bob are painting rooms at constant, but different rates. Albert takes 1 hour longer than Bob to paint n rooms. Working side by side, they can paint a total of 3n/5 rooms in 4/5 hours. How many hours would it take Albert to paint 3n rooms by himself?
Choose the correct option
A) 7 B) 9 C) 11 D) 25 E) 15

Solution: rate of bob to paint n rooms is n/T(bob)   rate of Albert to paint n rooms is n/T(albert).   albert paints the room 1 hour slower than bob, so T (albert) = T(bob) -1   Together they paint the 3n/5 rooms in 4/3 hours. Rate is equal to work over time   Therefore   n/x + n/x-1 = (3n/5)/(4/3) =   n/x + n/x-1 = 9n/20. Fastest way for me is to think how would make the denominator 20. 4*5 = 20 and it fits x and x-1 or you can solve the quadratic   4n/20 + 5n/20 = 9n/20. Therefore you know it takes Albert 5 hours to paint n room, since Albert's rate is n/5.   5*5 = 3n   25 = 3n.   Answer is 25
Answer: D
The majority owner of a business received 25% of the profit, with each of 4 partners receiving 25% of the remaining profit. If the majority owner and two of the owners combined to receive $39,375, how much profit did the business make?  Choose the correct choice from the following choices
A) $54,000
B) $57,000
C) $60,000
D) $63,000
E) $66,000

Solution: Let P be the total profit.   P/4 + 1/2*(3P/4) = P/4 + 3P/8 = 5P/8 = $39,375   P = $63,000   The answer is $63,000.
Answer: D
A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man?
Choose the correct choice from the following answers:
A) 5.99 km  B) 5.88 km  C) 5.76 km  D) 5.83 km  E) 9.44 km

Solution: M = 6   S = 1.2   DS = 7.2   US = 4.8   x/7.2 + x/4.8 = 1   x = 2.88   D = 2.88 * 2= 
2.88 * 2 = 5.76
5.76   Answer:5.76 km
Answer: C
Last year the price per share of Stock Y increased by m percent and the earnings per share of Stock Y increased by n percent, where m is greater than n. By what percent did the ratio of price per share to earnings per share increase, in terms of m and n?  Choose the most appropriate option:
A) 100 (m-n)%
B) 100*(m-n)/(100+n) %
C) m/n%
D) 100 (m+n)%
E) 100*(m+n)/(100+m)%

Solution: Let P = the old price per share; E = the old earning per share. Thus P/E is the price to earning ratio before the increases   After the increase the new price is: P*(1+m/100) and the new earning is: E*(1 + n/100)   The new P/E is: (1+m/100)P/(1+n/100)E   The Percent of P/E increase = (new P/E - P/E)/(P/E). Subsititute new P/E to the equation we have:   [(1+m/100)/(1+n/100)*P/E - P/E]/(P/E)*100%. Simplifly the expression and you should get the answer to be:   100*(m-n)/(100+n) %   Answer : 100*(m-n)/(100+n) %
Answer: B
In Net's hair salon 45% of the customers dye their hair blond, 36% dye their eyebrows blond and 35% straighten their hair. 20% of the customers have none of these three procedures, while 12% take all of these three procedures. What percent of the customers come for exactly 2 of these 3 procedures? Choose the correct choice from the following answers
A) 5%	B) 9%	C) 12%	D) 15%	E) 21%

Solution: Let a total of 100 people visit the salon.   Total = 100   Dye hair blonde (A) = 45 % = 45   Dye Eyebrows blonde (B) = 36% = 36   Straighten Hair (12%) = 35% = 35   Neither = 20% = 20   All Three = 12% =12   Total = A+B+12% - (Sum of Exactly Two group overlaps) - 2*(All three) + Neither   100 = 45+36+35 - (Sum of Exactly Two group overlaps) - 2*12 + 20   (Sum of Exactly Two group overlaps) = 9   %of customers coming for exactly 2 of the 3 procedures = 12%   12%
Answer: C
If an item that originally sold for t dollars was marked up by r percent and then discounted by s percent, which of the following expressions represents the final price of the item? Answers
A) (10,000t + 100t(r – s) – rst)/10,000
B) (10,000t + 100t(s – r) – rst)/10,000
C) (100t(r – s) – rst)/10000
D) (100t(s – r) – rst)/10000
E) 10000 /(r – s)

Solution: Assume t=100, r=10, s=10. So final price is 99. Now put these value each option. Only option (10,000t + 100t(r – s) – rst)/10,000 will give right answer.
Answer: A
The present worth of a certain sum due sometime hence is Rs. 1600 and the true discount is Rs. 160. Then banker’s gain is: Answers:
A) 16  B) 18  C) 20  D) 21  E) None

Solution: Sol.   B.G. = (T.D.)² / P.W. = Rs.[160 * 160 / 1600] = Rs. 16.   16nswer 16
Answer: A
Look at this series: 53, 53, 46, 46, 39, 39, ... What number should come next?	Pick:
A) A)12	B) B)14	C) C)27	D) D)32	E) E)86

Solution: In this series, each number is repeated, then 7 is subtracted to arrive at the next number.   Answer: 32
Answer: D
A whale goes on a feeding frenzy that lasts for 9 hours. For the first hour he catches and eats x kilos of plankton. In every hour after the first, it consumes 4 kilos of plankton more than it consumed in the previous hour. If by the end of the frenzy the whale will have consumed a whopping accumulated total 450 kilos of plankton, how many kilos did he consume on the sixth hour?	Choose the correct choice from the following answers: A) 38 B) 47 C) 50 D) 53 E) 54

Solution: If you list the amount eaten each hour, you'll get an equally spaced list, increasing by 4 each hour. In any equally spaced list, the median equals the mean. Here, the mean is  450/9= 
 450/9 = 50
50, so the median is also 50, and that is the amount eaten in the 5th hour. We need to add 4 to find the total eaten in the next hour, so the answer is 54   option 54.
Answer: E
Five years ago the average of the ages of A and B was 40 years and now the average of the ages of B and C is 47 years. What will be the age of the B ten years hence?  Pick:
A) 94	B) 23	C) 28	D) 96	E) 26

Solution: Let the present ages of A, B and C be a, b and c respectively.   Given, [(a - 5) + (b - 5)] / 2 = 40 => a + b = 90 --- (1)   (b + c)/2 = 47 => b + c = 94 --- (2)   94nswer: 94
Answer: A
In a certain sequence, the first term is 7, and each successive term is 1 more than the reciprocal of the term that immediately precedes it. What is the fifth term in this sequence?
Pick one:	A) 13/8	B) 39/24	C) 8/5	D) 5/8	E) 8/13

Solution: let five terms in the sequence be a,b,c,d,e   a=7   b= 1+1/7=8/7   c=1+7/8= 15/8   d= 1+8/15 = 24/15   e= 1+15/24 = 39/24   hence answer should be 39/24.
Answer: B