MU-NLPC/Calc-aqua_rat huggingface dataset:
In a garden, 26 trees are planted at equal distances along a yard 300 metres long, one tree being at each end of the yard. What is the distance between two consecutive trees?
Choose the correct choice:
A) 10 metres  B) 20 metres  C) 14 metres  D) 12 metres  E) 13 metres

Solution: Between 26 trees, there are 25 gaps   Length of each gap   =300/25= 
300/25 = 12
12   i.e., distance between two consecutive trees=12   Answer: 12 metres
Answer: D
The C.P of 20 books is equal to the S.P of 30 books. Find his gain% or loss%?
Choose the correct choice from the following answers:
A) 63.33%	B) 34.33%	C) 33.33%	D) 31.33%	E) 36.33%

Solution: explanation:   20 33.33%P = 30 SP   30 --- 10 33.33%P loss   100 --- ? => 33.33% loss   Answer: 33.33%
Answer: C
Look at this series: 544, 509, 474, 439, ... What number should come next?
Choices:
A) 404  B) 414  C) 420  D) 445  E) None

Solution: Explanation: This is a simple subtraction series. Each number is 35 less than the previous number.   404nswer: Option 404
Answer: A
A car started running at a speed of 30 km/hr and the speed of the car was increased by 2 km/hr at the end of every hour. Find the total distance covered by the car in the first 9 hours of the journey.	Choose the correct choice from the following answers:
A) 342 km B) 352 km C) 642 km D) 742 km E) 382 km

Solution: The total distance covered by the car in the first 10 hours = 30 + 32 + 34 + 36 + 38 + 40 + 42 + 44 + 46 = sum of 10 terms in AP whose first term is 30 and last term is 46 = 9/2 [30 + 46] = 342 km.   342 kmNSWER:342 km
Answer: A
Two pipes A and B can fill a tank in 12 and 24 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank?
Choose the correct option
A) 9 min
B) 8 min
C) 6 min
D) 4 min
E) 5 min

Solution: Explanation:   Required time =12×24 / 12+24   =12 x 24/36   =24/3= 
24/3 = 8
8 minutes   Answer: Option 8 min
Answer: B
Two pipes A and B can fill a cistern in 37 1/2 minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just half an hour, if the pipe B is turned off after?	Choose the correct choice from the following answers:  A) 6  B) 9  C) 8  D) 2  E) 4

Solution: Let B be turned off after x minutes. Then, part filled by (A + B) in x min + part filled by A in (30 - x) min = 1.   x(2/75 + 1/45) + (30- x) 2/75 = 1   11x + 180 - 6x = 225 => x = 9.Answer:9
Answer: B
There 3 kinds of books in the library physics, chemistry and biology. Ratio of physics to chemistry is 3 to 2; ratio of chemistry to biology is 4 to 3, and the total of the books is more than 3000. Which one of following can be the total Q of the book?
Answers:
A) 3003
B) 3027
C) 3024
D) 3021
E) 3018

Solution: First, you have to find the common ratio for all 3 books. You have:   P:C:B   3:2 --> multiply by 2 (gives you row 3)   4:6   6:4:3   Hence:   P:C:B:T(Total)=Q   6:4:3:13 ----> This means, the Total Number must be a multiple of 13.   3003nswer 3003 is correct since 299 is divisible by 13, hence is 2990 and so is 3003 (2990+13).
Answer: A
In a triangle, one side is 6 Cm and another side is 8 Cm. which of the following can be the perimeter of the triangle?  Choose the correct choice from the following answers:
A) 22.  B) 25.  C) 30.  D) 32.  E) 34.

Solution: Given : one side is 6 Cm and another side is 8 Cm. So the 3rd side will be > 3 and < 15. Thus the perimeter will be : 18 < perimeter < 30. Only option satisfying this condition is 22. Hence 22..
Answer: A
In a box, there are 6 blue, 7 white and 4 yellow bulbs. One bulb is picked up randomly. What is the probability that it is neither white nor blue?
Select the correct option
A) 3/16  B) 5/16  C) 8/32  D) 4/17  E) 6/17

Solution: Total number of bulbs = (6 + 7 + 4)= 
(6 + 7 + 4) = 17
17.   Let E= event that the bulb drawn is neither white nor blue = event that the bulb drawn is yellow.   Therefore, P(E)=4/17   ANSWER:4/17
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?
Choose the correct choice from the following:
A) 10 m
B) 255 m
C) 245 m
D) 19 m
E) 27 m

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 => 2(120 + x) = 750 => x   = 255 m.   Answer: 255 m
Answer: B
A frog jumps 3 ft comes back 2ft in a day. In how many days it will come out of 30ft deep well	Choose the most appropriate option:
A) 27
B) 28
C) 29
D) 30
E) 31

Solution: A frog jumps 3ft in day and comes back 2ft in night.in how many days it will come out of 30ft deep well?   (3-2)*27 +3*1   total days=28   ANSWER:28
Answer: B
what is the units digit of the expression 7^75+6?  Answers:
A) 1	B) 3	C) 5	D) 7	E) 9

Solution: 7 in power repeats pattern of 4: 7-9-3-1. As 75=4*18+3 then the last digit of 7^75 is the same as the last digit of 7^3, which is 3.   Units digit of 7^75+6 will be:  3 + 6= 
 3 + 6 = 9
9.   answer is 9
Answer: E
The average runs scored by a batsman in 10 matches is 40. In the next 10 matches the batsman scored an average of 30 runs. Find his average in all the 20 matches?	Choose the most appropriate option:	A) 31	B) 35	C) 88	D) 13	E) 12

Solution: Total score of the batsman in 10 matches = 400.   Total score of the batsman in the next 10 matches = 300.   Total score of the batsman in the 20 matches = 700.   Average score of the batsman = 700/20= 
700/20 = 35
35.   Answer:35
Answer: B
The length of a rectangle is twice its breadth. If its length is decreased by 4 cm and breadth is increased by 5 cm, the area of the rectangle is increased by 75 sq. cm. Find the length of the rectangle.	Select the correct option.
A) 10/3cm B) 20/3cm C) 20cm D) 16cm E) 14cm

Solution: Explanation:   Let breadth = x. Then, length = 2x. Then,   (2x - 4) (x + 5) - 2x * x = 75 => 6x - 25 = 75 => x =20/3.   Length of the rectangle = 20/3 cm.   Answer: Option 20/3cm
Answer: B
Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 13 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?	Choose the correct choice from the following answers
A) 477  B) 408  C) 279  D) 276  E) 291

Solution: 1h ----- 5   ? ------ 60   12 h   RS = 13 + 21= 
13 + 21 = 34
34   T= 12   D = 34 * 12= 
34 * 12 = 408
408.Answer: 408
Answer: B
If 36 men can do a piece of work in 25 hours, in how many hours will 12 men do it?	Choose the correct choice from the following:  A) 22  B) 38  C) 60  D) 88  E) 75

Solution: Explanation:   Let the required no of hours be x. Then   Less men , More hours (Indirect Proportion)   \inline \fn_jvn \therefore 12:36 ::25:x \inline \fn_jvn \Leftrightarrow (12 x X)=(36 x 25) \inline \fn_jvn \Leftrightarrow \inline \fn_jvn x=\frac{36\times 25}{12}=75   Hence, 12 men can do it in 75 hours.   Answer: 75) 75
Answer: E
For a certain exam,a score of 86 was 7 standard deviations below mean and a score of 90 was 3 standard deviations above mean.What was the mean score for the exam?
Answers.
A) 86.25
B) 84
C) 85
D) 88.8
E) 80

Solution: Mean-7SD=86   Mean+3SD=90   By solving above equations we get,   SD (absolute value)=0.4   Mean=88.8   ANS. 88.8
Answer: D
A store sells chairs and tables. If the price of 2 chairs and 1 table is 60% of the price of 1 chair and 2 tables, and the price of 1 table and 1 chair is $60, what is the price, in dollars, of 1 table? (Assume that every chair has the same price and every table has the same price.) Answers:
A) 105/2
B) 45
C) 44
D) 52
E) 50

Solution: LET C= CH105/2IR ; T =T105/2BLE   2C+1T = 0.6 (1C + 2T) OR C( 2-0.6) = 1.2T -1T OR 1.4C = 0.2 T THEREFORE C= 0.2/1.4 T = 1/7 T   IC +1T =60 OR 1/7T + 1T =60 THEREFORE T= 60*7/8 = 105/2   105/2
Answer: A
Which one of the following is not a prime number?	Answers
A) 31	B) 61	C) 71	D) 91	E) 101

Solution: 91 is divisible by 7. So, it is not a prime number.   answer :91
Answer: D
Bobby has 23 Pokemon cards and he would like to give four friends his
cards. How many cards will each friend get? Will there be any cards left
over?	Choose the correct answer:
A) 5 cards-3 left over	B) 6 cards-4 left over	C) 7 cards-5 left over	D) 8 cards-6 left over	E) 9 cards-7 left over

Solution: 23/4 = 5 R 3 Each friend will get 5 cards and there will be 3 cards left   over.   correct answer 5 cards-3 left over
Answer: A
A batsman scored 210 runs which included 3 boundaries and 8 sixes. What % of his total score did he make by running between the wickets	Choose the correct choice from the following choices:
A) 40%  B) 50%  C) 65%  D) 71.4%  E) 75%

Solution: Number of runs made by running = 210 - (3 x 4 + 8 x 6)   = 210 - (60)= 
210 - (60) = 150
150   Now, we need to calculate 60 is what percent of 120.=> 150/210 * 100 = 71.4 %   71.4%
Answer: D
Jamshid and Irwin decided to make up their own version of basketball. In addition to being able to score 2-point baskets, they created ways to score 5-, 11-, and 13-point baskets. If at halftime the product of the point values of Irwin’s baskets was 2,420, how many 11-point baskets E did Irwin score?  Choose the correct option:  A) 0  B) 1  C) 2  D) 3  E) 4

Solution: First thing I noticed was that all these numbers are prime...   Prime factorization gives the following   Step 1:2*1210   Step 2:2*11*110   Step 4:2*11*11*10   Step 5:2*11*11*2*5   So he scored E=2 11-point baskets in my opinion.   Answer 2
Answer: C
A bakery currently has 9 pies and 2 cakes in its inventory. The bakery’s owner has decided to display 5 of these items in the bakery’s front window. If the items are randomly selected, what is the probability that the display will have exactly 3 pies?  Pick one:
A) 3/5
B) 4/7
C) 5/7
D) 2/11
E) 3/11

Solution: The total number of ways to choose 5 from 11 is 11C5 = 462.   The number of ways that include 3 pies is 9C3*2C2 = 84*1= 
84*1 = 84
84   P(exactly 3 pies)= 84/462 = 2/11   The answer is 2/11.
Answer: D
David and Rachel are getting married. The extended family wants to have its picture taken, but David's father is unwilling to stand next to Rachel's mother. How many options does the photographer have to arrange the 15 family members in a row for the picture? Choose the correct choice from the following options
A) 15!
B) 14×13!
C) 13×14!
D) 14!/2!
E) 13!

Solution: The number of ways to arrange 15 people is 15!   We need to subtract the arrangement when these two people are together.   Let's think of these two people as a single unit so there are 14 units.   The number of ways to arrange 14 units is 14!   We need to multiply this by 2 since these two people could switch places.   The total number of valid arrangements is 15! - 2*14! = 14!*(15-2) = 13x14!   The answer is 13×14!.
Answer: C
If two dice are thrown simultaneously, find the probability that the numbers appeared are equal?
Choices:	A) 2/6	B) 1/6	C) 3/6	D) 4/6	E) 5/6

Solution: The numbers appeared are equal.   Therefore, the required events are (1, 1), (2, 2), (3, 3), (4, 4), (5, 5) and (6, 6).   Therefore, n(E) = 6   Therefore, the required probability = n(E)/n(S) = 6/36   = 1/6   ANSWER:1/6
Answer: B
A sum of money becomes triple itself in 5 years at simple interest. How many years will it become four times at the same rate?	Choose the correct option
A) 12 Â½ years
B) 62 Â½ years
C) 8 Â½ years
D) 72 Â½ years
E) 12 Â½ years

Solution: 100 ---- 200 ---- 5   200 ---- 5   100 ---- 2 1/2   ------------------   400 ---- 8 Â½ years   Answer:8 Â½ years
Answer: C
A three-digit code for certain locks uses the digits 0, 1, 2, 3, 4, 5 according to the following constraints. The first digit cannot be 0 or 1, the second digit must be 0 or 1, and the second and third digits cannot both be 0 in the same code. How many different codes are possible?	Choose the correct choice from the following options: A) 144 B) 152 C) 160 D) 44 E) 176

Solution: The first digit can be filled in 4 ways   For second digit , it can either be 0 or 1   Case 1 -   If second digit is 1 ,Third digit can take 6 values   number of codes = 4 * 1 * 6= 
4 * 1 * 6 = 24
24   Case 2 -   If second digit is 0,Third digit can take 5 values ( Third digit can't be zero)   number of codes= 4 * 1 * 5= 
4 * 1 * 5 = 20
20   Total number of codes=44   Answer 44
Answer: D
Ira and Jake will throw three dice each. The score is the sum of points on all three dice. If Ira scores 4 in her attempt, what is the probability that Jake will outscore Ira in his attempt?  Options:  A) 5/6  B) 17/18  C) 26/27  D) 35/36  E) 53/54

Solution: The total number of ways the dice can land is 6*6*6= 
6*6*6 = 216
216.   There is only 1 way to get a score of 3= 1+1+1   There are only 3 ways to get a score of 4 = 1+1+2   Jake wins for any other outcome.   P(Jake wins)=1-4/216=53/54   The answer is 53/54.
Answer: E
Machine A produces pencils at a constant rate of 9000 pencils per hour, and machine B produces pencils at a constant rate of 7000 pencils per hour. If the two machines to gather must produce 100,000 pencils and if each machine can operate for at most 8 hours, what is the least amount of time E, in hours, that machine B must operate?	Choose the correct choice from the following options:
A) 4
B) 4 2/3
C) 5 1/3
D) 6
E) 6 1/4

Solution: Machine A produces pencils at a constant rate of 9,000 pencils per hour, and machine B produces pencils at a constant rate of 7,000 pencils per hour. If the two machines together must produce 100,000 pencils and if each machine can operate for at most 8 hours, what is the least amount of time E, in hours, that machine B must operate?   a) 4   b) 4 and 2/3   c) 5 and 1/3   d) 6   e) 6 and 1/4   To minimize the time that machine B must operate we must maximize the time machine A can operate, so make it operate 8 hours. In 8 hours machine A will produce 8*9,000=72,000 pencils, so 100,000-72,000=28,000 pencils are left to produce, which can be produced by machine B in 28,000/7,000=4 hours.   4nswer: 4.
Answer: A
What is the remainder when 12987^(65987036) is divided by 5? Choose the correct choice from the following choices:
A) 0  B) 1  C) 2  D) 3  E) 4

Solution: We need to find the units digit of the number.   The units digit of powers of seven repeats 7, 9, 3, and 1 cyclically.   Since 65987036 has the form 4a, the units digit is 1.   Then the remainder when dividing by 5 is 1.   The answer is 1.
Answer: B
In a factory, each day the expected number of accidents is related to the number of overtime hour by linear equation. Suppose that on one day there were 1000 overtime hours logged and 8 accidents reported and on another day there were 400 overtime hours logged and 5 accidents. What is the expected number of accidents when no overtime hours are logged?  Pick.
A) 2
B) 3
C) 4
D) 5
E) 6

Solution: Explanation :   Let, the number of over time hours be x and expected number of accidents be y.   We will use the equation y = mx + c , where m and c are constant.   Now,according to the question,   if x =1000, then y=8   i.e 8=1000x + c ----(i)   And, if x=400, then y=5   i.e 5=400x + c. ----(ii)   On solving these equations, we get   m=1/200 and c=3.   Hence, in case, no overtime is there i.e x=0, then the number of expected accident will be 3.   Answer : 3
Answer: B
A voltage will influence current only if the circuit is:  Options
A) 2	B) 7	C) 6	D) 889	E) 1

Solution: Answer:7
Answer: B
A typist uses a sheet measuring 20cm by 30cm lengthwise. If a margin of 2 cm is left on each side and a 3 cm margin on top and bottom, then percent of the page used for typing is  Select the correct option.
A) 40
B) 60
C) 64
D) 72
E) None

Solution: Solution   Area of the sheet	= (20 x 30 ) cm²   = 600 cm²   Area used for typing	= [(20 - 4) x (30 - 6)] cm²   = 384 cm²   Required percentage	= (384 / 600 x 100)%   =64%.   Answer 64
Answer: C
A is two years older than B who is twice as old as C. The total of the ages of A, B and C is 27. How old is B?
Choices:
A) 25
B) 20
C) 15
D) 10
E) 5

Solution: Let age of C =x. Then,   Age of B =2x   Age of A =2+2x   Total age of A,B and C =27   ⇒(2+2x)+2x+x=27⇒5x=25⇒x=255=5   B's age =2x=2×5=10   Answer is 10.
Answer: D
How many three-element subsets of {5,6,7,8,9} are there that do not contain the pair of elements 6 and 9?  Choose the correct choice from the following answers:	A) 1	B) 2	C) 3	D) 4	E) 5

Solution: Required subsets are = {5,6,7},{5,7,8},{5,8,9},{6,7,8}, {7,8,9}= 5   Answer: 5
Answer: E
A shopkeeper sells his goods at cost price but uses a faulty meter that weighs 940 grams. Find the profit percent. Choose the correct choice.
A) 7.38	B) 5.38	C) 4.38	D) 6.38	E) 3.38

Solution: Explanation:   (100 + g) / (100 + x) = True measure / Faulty measure   x = 0   true measure = 1000   faulty measure = 940   100 + g / 100 + 0 = 1000 / 940   100+g = 100/94*100   g = 6.38   ANSWER: 6.38
Answer: D
The numbers in which of the following pairs do NOT have a pair of distinct prime divisors in common?  Choices
A) 10 and 20 B) 12 and 18 C) 24 and 16 D) 21 and 63 E) 22 and 88

Solution: 16 has only the prime 2 (16=2^4) in its prime factorization, so it can not have a PAIR of distinct prime divisors in common with ANY of the numbers.   The answer is 24 and 16.
Answer: C
If a and b are positive even integers, and the least common multiple of a and b is expressed as a*b/q, which of the following statements could be false? Choose the correct choice from the following answers.
A) n is a factor of both a and b  B) (a*b)/n < ab  C) ab is multiple of 2.  D) (a*b)/n is a multiple of 2.  E) q is a multiple of 4.

Solution: If we divide bynand get a multiple ofaand ofb, thennmust be a common factor. Answer A must be true.   If a and b are even integers, dividing by a factor (also an integer) results in something smaller than the productab. Answer B must be true.   If eitheraorbis even, thenabmust be even. Answer C must be true.   If both are even, the smallest either number can be is 2. Thus, the smallest common factor must be 2. Answer D must be true.   Ifbis 6 andais 2,nwould be 6, which is not 4. q is a multiple of 4. can be false.
Answer: E
Find The Odd One Out ?
Pick one:
A) BACK
B) SNIP
C) TRAP
D) DRAW
E) FLOW

Solution: BACK   BBACKCK   BACKll the others can also be read backwards as proper words.
Answer: A
The number of singles that a baseball player hit increased 11 percent from her first season to her second season, and the number of doubles that she hit in the same time period decreased by 1 percent. If the total number of singles and doubles that she hit increased 2 percent from her first season to her second season, what is the ratio of the number of singles she hit in her first season to the number of doubles she hit in her first season?
Choose the correct choice from the following answers:
A) 1:3
B) 9:11
C) 1:1
D) 2:1
E) 11:3

Solution: Soln:-   1.11S + 0.99D = 1.02[S + d]   0.09S = 0.03D   S/D = 1/3   1:3NSWER:1:3
Answer: A
The average monthly salary of laborers and supervisors in a factory is Rs.1250 per month; where as the average monthly salary of 6 supervisors is Rs.2450. If the average monthly salary of the laborers is Rs.950 find the number of laborers? Choose one:
A) 12
B) 42
C) 66
D) 88
E) 10

Solution: 5x 6x 2x   50 25 100   250x + 150x + 200x = 4200   600x = 4200   x = 7 => 6x = 42   Answer: 42
Answer: B
A, B and C started a business with capitals of Rs. 8000, Rs. 10000 and Rs. 12000 respectively. At the end of the year, the profit share of B is Rs. 1500. The difference between the profit shares of A and C is?
Select:	A) 288	B) 266	C) 155	D) 600	E) 441

Solution: Ratio of investments of A, B and C is 8000 : 10000 : 12000 = 4 : 5 : 6   And also given that, profit share of B is Rs. 1500   => 5 parts out of 15 parts is Rs. 1500   Now, required difference is 6 - 4= 
6 - 4 = 2
2 parts   Required difference= 2/5 (1500) = Rs. 600   Answer:600
Answer: D
Pipes A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in Choose the correct choice from the following options:
A) 1×13/17 hours
B) 2×8/11 hours
C) 3×9/17 hours
D) 4×1/2 hours
E) None

Solution: Solution   Net part filled in 1 hour	= (1/5 + 1/6 -1/12)   = 17/60.   Therefore, the tank will be full in 60/17 hrs.	‹=› 3×9/17 hrs.   Answer 3×9/17 hours
Answer: C
By selling 12 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
A) 8  B) 9  C) 12  D) 16  E) 15

Solution: Explanation:   80% --- 12   120% --- ?     80/120 * 12= 
  80/120 * 12 = 8
8   8NSWER IS 8
Answer: A
Amit and Ananthu can do a work in 15 days and 45 days respectively. Amit started the work and left after 3 days. Ananthu took over and completed the work. In how many days was the total work completed?  Choose the correct answer:
A) 28 days
B) 30 days
C) 33 days
D) 35 days
E) 39 days

Solution: Amit’s one day’s work= 1/15   Amit’s 3 day’s work = 1/15 *3 = 1/5   Work left= 1-1/5 = 4/5   Ananthu’s one day’s work= 1/45   Ananthu can do work in = 4/5 *45= 
4/5 *45 = 36
36 days   So total days= 36+3= 
36+3 = 39
39 days   ANSW39 daysR:39 days
Answer: E
Solution X is 10 percent alcohol by volume, and solution Y is 30 percent alcohol by volume. How many milliliters of solution Y must be added to 300 milliliters of solution X to create a solution that is 18 percent alcohol by volume?  Choose the correct choice from the following answers:
A) 100 B) 150 C) 200 D) 250 E) 300

Solution: 18% is 8%-points higher than 10% but 12%-points lower than 30%.   Thus there should be 3 parts of solution X for 2 parts of solution Y.   We should add 200 ml of solution Y.   The answer is 200.
Answer: C
Income and expenditure of a person are in the ratio 9 : 8. If the income of the person is Rs. 18000, then find his savings?  Pick:
A) Rs.3600
B) Rs.3603
C) Rs.2000
D) Rs.3632
E) Rs.3602

Solution: Let the income and the expenditure of the person be Rs. 9x and Rs. 8x respectively.   Income, 9x = 18000 => x = 2000   Savings = Income - expenditure = 9x - 8x = x   So, savings = Rs.2000   Answer:Rs.2000
Answer: C
The cost per pound of tea and milk powder were the same in June. In July, the price of milk powder shot up by 200% and that of tea dropped by 80%. If in July, a mixture containing equal quantities of tea and milk powder costs $4.80 for 3lbs, how much did a pound of tea cost in July?
Choose the correct choice from the following:
A) $4
B) $0.2
C) $1
D) $3
E) $1.65

Solution: Lets assume price of Coffee in June =100x   Price of Tea in June =100x   Price of milk powder in July = 300x (because of 200% increase in price)   Price of Tea in July = 20x (because of 80% Decrease in price)   Price of 1.5 pound milk powder 1.5 pound of Tea in July will be = 450x + 30x = 480x   As per question   480x450  + 30= 
450  + 30 = 480
480x   As per question   480x= 4.80$   x = 0.01S   So the Price of Tea in July = 20x = 20 x 0.01 = 0.2$/pound   Answer $0.2
Answer: B
If a is the sum of m consecutive positive integers and b is the sum of n consecutive positive integers. For which of the following values of m and n is it impossible that a = b?  Pick one
A) m = 2; n = 6 B) m = 3; n = 6 C) m = 10; n = 4 D) m = 7; n = 9 E) m = 10; n = 7

Solution: I approached this in a different way, although may be longer but it's certainly more intuitive   It is impossible that a = b if one of them is necessarily even while the other is necessarily odd   for two consecutive integers the sum is necessarily odd   for six consecutive integers the sum is necessarily odd (sum of 3two consecutive integerswhich are all odd)   Thus A is incorrect.   The sum of 3 consecutive integers can be even or odd (an odd integer from the first 2 + an additional integer which can be even or odd). Thus B is incorrect. You can do a similar approach for D and E (it follows that the sum of a specified odd number of consecutive integers can be odd or even).   Leaving us with C to be the only not-wrong answer. To confirm, you can easily deduce that the sum of 4 consecutive integers (sum of 2 odd integers) is necessarily even while the sum of 10 consecutive integers (sum of 5 odd integers) is necessarily odd. Thus m = 10; n = 4 is the right answer.
Answer: C