MU-NLPC/Calc-aqua_rat huggingface dataset:
Rohit spent 30 percent of his earning last month on rent and 20 percent less than what he spent on rent to purchase a new dishwasher. What percent of last month's earning did Rohit have left over? Choose one
A) 29% B) 35% C) 46% D) 47% E) 52%

Solution: SayRohit's earning last month was $100.   Rohit spent 30 percent of his earning last month on rent --> $30 on rent;   20 percent less than what he spent on rent to purchase a new dishwasher --> $30*0.8= 
30*0.8 = 24
$24 on the dishwasher.   Left over amount   100 - (30 + 24)= 
  100 - (30 + 24) = 46
$46   Answer: 46%
Answer: C
A fruit seller had some oranges. He sells 40% oranges and still has 480 oranges. How many oranges he had originally?	Choose the correct option:
A) 800
B) 710
C) 720
D) 730
E) 740

Solution: 60% of oranges = 480   100% of oranges =(480×100)/6=800   total oranges = 700   800NSWER : 800
Answer: A
If 2^5, 3^3, and 10^2 are all factors of the product of 936 and w where w is a positive integer, what is the smallest possible value of w?	Choose the correct choice from the following answers
A) 26 B) 39 C) 120 D) 65 E) 156

Solution: Here 156 has three two's   two three's   and one 10   rest of them must be in w   so w= 10*3*4= 
10*3*4 = 120
120   Smash 120
Answer: C
A sum of Rs. 350 made up of 110 coins, which are of either Re.1 or Re.5 denomination. How many coins are of Re.1?  Answers.
A) 50 B) 60 C) 65 D) 54 E) 47

Solution: Rs.1 coins= 50 ;50*1=50   Rs.5 coins=60 ; 60*5= 
60*5 = 300
300   Total=50+300= 
50+300 = 350
350   So total Rs.1 coins are 50   50NSWER:50
Answer: A
A car takes 4.5 hours to travel from A to B, which is 360 miles apart. What is the average speed of the car?
Choose the correct choice from the following options.
A) 40
B) 50
C) 60
D) 80
E) 85

Solution: Average speed= 360/4.5 hours   = 360/270   =1.33 miles per min   =80 miles per hour   Answer: 80
Answer: D
The compound interest earned by Sunil on a certain amount at the end of two years at the rate of 8% p.a. was Rs.2828.80. Find the total amount that Sunil got back at the end of two years in the form of principal plus interest earned?
Select the correct option.
A) 19828.29	B) 19828.2	C) 19828.8	D) 19828.88	E) 19828.21

Solution: Let the sum be Rs.P   P{ [ 1 + 8/100]2 - 1 } = 2828.80   P(8/100)(2 + 8/100) = 2828.80 [a2 - b2 = (a - b) ( a + b)] P   = 2828.80 / (0.08)(2.08)   = 1360/0.08= 
1360/0.08 = 17_000
17000 Principal + Interest= Rs.19828.80   Answer:19828.8
Answer: C
The parameter of a square is double the perimeter of a rectangle. The area of the rectangle is 480 sq cm. Find the area of the square. Options.
A) 200	B) 300	C) 400	D) Cannot be determined	E) 600

Solution: Let the side of the square be a cm. Let the length and the breadth of the rectangle be l cm and b cm respectively.   4a = 2(l + b)   2a = l + b   l . b = 480   We cannot find ( l + b) only with the help of l . b. Therefore a cannot be found .   Area of the square cannot be found.   Answer: Option Cannot be determined
Answer: D
How many numbers from 10 to 10000 are exactly divisible by 9?	Choose the correct choice.
A) 900 B) 1000 C) 1110 D) 1200 E) 1400

Solution: 10/9 = 1 and 10000/9 = 1111 ==> 1111 - 1= 
1111 - 1 = 1_110
1110. Therefore 1110   Answer : 1110
Answer: C
IF x is an integer greater than 6, then all the following must be divisible by 3 EXCEPT  Choose the correct choice from the following answers:  A) x(x+1)(x+2)  B) 3x^3  C) 9x^2  D) x-1  E) 9x/3

Solution: *any number multiplied by 3, will be divided by 3   for option D if we put value x=8, 8-1=7 is not divisible by 3   Answer : 9x/3
Answer: E
If two numbers are in the ratio 7:2. If 5 is subtracted to both of the numbers then the ratio becomes 2:3then find the largest number?  Choose the correct option
A) 26/17	B) 37/17	C) 35/17	D) 25/17	E) 24/17

Solution: 7:2   7x - 5: 2x - 5 =2 : 3   3[7x - 5] =2[2x- 5]   21x - 15= 4x - 10   21x - 4x = 15 - 10   17x = 5, then x=5/17   Then the first number is = 7   7x = 35/17   Option 35/17
Answer: C
Panya prepared 4 different letters to 4 different addresses. For each letter, she prepared one envelope with its correct address. If the 4 letters are to be put into the four envelopes at random, what is the probability that only one letter will be put into the envelope with its correct address?  Choose the correct answer.
A) 1/24  B) 1/8  C) 1/4  D) 1/3  E) 3/8

Solution: Total Panya# of ways - 4! = 24.   1/3esired:   A-Mapped to the only correct address----------x 1 way only   B-Mapped to other two incorrect addresses - x 2 ways   C-Mapped to other two incorrect addresses - x 2 ways   1/3-Mapped to other two incorrect addresses - x 2 ways   Therefore, 1*2*2*2/24 = 1/3.?
Answer: D
saran professes to sell his goods at the cost price but he made use of 900 grms instead of a kg, what is the gain percent?  Pick
A) 67 6/9%	B) 54 1/2%	C) 33 3/8%	D) 11 1/9%	E) 87 7/9%

Solution: 11 1/9%   900 --- 100   100 --- ? => 11 1/9%
Answer: D
47% of the students in a class of 44 students has glasses or contacts. How many students in the class have either glasses or contacts? Choose the correct choice: A) 15 B) 16 C) 17 D) 18 E) 21

Solution: a=r⋅b   47%=0.47a   =0.47⋅34   a≈21   Option 21 is correct.
Answer: E
There are 324,437 chicks in a farm. Jack wants to distribute these evenly across 9 different retail shops, how many chicks would remain with him.	Choose the correct choice from the following answers:  A) 1 chicks  B) 2 chicks  C) 3 chicks  D) 4 chicks  E) 5 chicks

Solution: This is equivalent to finding the first number that is divisible by 9 that occurs before 324,437.   In order to divide the sum in 9 parts, the amount must be divisible by 9   Divisibility rule of 9: The sum of the digits must be divisible by 9   Sum of digits of 324,437 = 23 and 18 is divisible by 9.   Hence, we need to remove 5 to this number for it to be divisible by 9   Correct Option: 5 chicks
Answer: E
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?	Pick one:
A) 30/16 hours
B) 80/13 hours
C) 30/73 hours
D) 30/13 hours
E) 50/13 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 hiker walking at a constant rate of 4 miles per hour is passed by a cyclist travelling in the same direction along the same path at a constant rate of 28 miles per hour. the cyclist stopswaits for the hiker 5 min after passing her while the hiker continues to walk at her constant rate. how many minutes must the cyclist wait until the hiker catches up
Choose the correct answer:
A) 6 2/3 B) 15 C) 20 D) 25 E) 30

Solution: Here is how I did it:   The cyclist travels 28 miles in 60 mins, so in 5 mins he will travel [(28*5)/60] miles, which equals 7/3 miles in 5 mins.   Now the hiker travels 4 miles in 60 mins. To travel 7/3 miles, he will take [(60*7/3)/4= 
(60*7/3)/4 = 35
35 mins.   hence 35-5= 
35-5 = 30
30 mins   30
Answer: E
Ella and Frank race around a running track. Ella runs at a constant rate of one lap every 3 minutes and Frank runs at a constant rate of one lap every 5 minutes. If they both start at the same time, how many minutes will it take for Ella to get exactly one lap ahead of Frank?	Choose one: A) 5.5 B) 6.5 C) 7.5 D) 8.5 E) 9.5

Solution: Let x be the number of minutes it takes for Ella to get one lap ahead.   Then Ella ran x/3 laps and Frank ran x/5 laps.   x/3 = 1+x/5   5x=15+3x   2x=15   x=7.5   The answer is 7.5.
Answer: C
A person spent Rs. 6,040 from his salary on food and 5,000 on house rent. After that he was left with 80% of his monthly salary. What is his monthly salary ? Select the correct option: A) 55,200 B) 65,200 C) 75,200 D) 85,200 E) 95,200

Solution: Total money spent on food and house rent = 6,040+5,000 = 11,040   Which is 100 - 80= 
100 - 80 = 20
20% of his monthly salary   ∴ His salary= 11040x100/20 = 55200   55,200nswer : 55,200
Answer: A
What is the smallest no. which must be added to 25268 so as to obtain a sum which is divisible by 11?	Options:  A) 5  B) 10  C) 11  D) 20  E) 30

Solution: For divisibility by 11, the difference of sums of digits at even and odd places must be either zero or divisible by 11.   For 25268, Difference =(2+2+8) -(5+6)=12-11= 
12-11 = 1
1.   The units digit is at odd place. So we add 10 to the number=> 25268 +10= 
25268 +10 = 25_278
25278   Now , (2+2+8) -(5+7)=12-12= 
12-12 = 0
0=>25268 is also divisible by 11   10
Answer: B
15 chess players take part in a tournament. Every player plays twice with each of his opponents. How many games are to be played?	Choose the correct choice from the following answers:
A) 190
B) 200
C) 210
D) 220
E) 225

Solution: Though 2*(15C2) is the correct approcah to do this, but for people like me who find Perm, Comb n Prob a nightmare, an easy approach can be used.   The first guy has to play 2 matches with the rest of 14, so he'll play 28 matches.   Similarly, second guy has to play with the rest of 13 as his 2 games with the first guy are already played. So he plays 26 matches.   This continues like this and the total matches are 28+26+24...+2   28+26+...+2 = 2(14+13+...+1) = 2((14*15)/2) = 14*15= 
14*15 = 210
210.   ANSWER:210
Answer: C
In measuring the sides of a rectangle, one side is taken 10% in excess and other 5% in deficit. Find the error percentage in the area calculated from these measurements.	Options
A) 3.5%	B) 2.4%	C) 3%	D) 4.5%	E) 2.6%

Solution: Say both sides of the rectangle are equal to 100 (so consider that we have a square). In this case the area is 100*100=10,000.   Now, the area obtained with wrong measurements would be 110*95=10,450, which is 4.5% greater than the actual area.   Answer: 4.5%.
Answer: D
10% people of a village in Sri Lanka died by bombardment, 20% of the remainder left the village on account of fear. If now the population is reduced to 3240, how much was it in the beginning?
Choose the most appropriate option:
A) A)3800	B) B)4200	C) C)4400	D) D)4500	E) E)4600

Solution: X * (90/100) * (80/100) = 3240   X = 4500   ANSWER:4500
Answer: D
The ratio between the speeds of two Bullet trains is 7: 8. If the second Bullet train runs 460 kms in 4 hours, then the speed of the first train is: Choose the correct choice from the following.
A) 100.6 km/hr.	B) 37.25 km/hr.	C) 90.25 km/hr.	D) 94.25 km/hr.	E) 96.25 km/hr.

Solution: Let the speed of two bullet trains be 7x and 8x km/hr.   Then, 8x = (460/4)= 
(460/4) = 115
115   x= (115/8)= 
(115/8) = 115/8 = around 14.375
14.375   Hence, speed of first bullet train= (7 x 14.375) km/hr = 100.6 km/hr.   100.6 km/hr.
Answer: A
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively. If they cross each other in 23 seconds, what is the ratio of their speeds?  Choices.
A) 1:2	B) 3:2	C) 3:1	D) 1:3	E) 1:4

Solution: Speed =x and y resp   length of first = 27x   length of second train = 17y   related speed = x + y   time taken to cross each other = 23 s   27x+17y/x+y = 23   27x+17y = 23(x+y)   4x=6y   x/y=6/4=3/2   ANSWER 3:2
Answer: B
On the Richter scale, which measures the total amount of energy released during an earthquake, a reading of x-1 indicates one-tenth the released energy as is indicated by a reading of x. On that scale, the frequency corresponding to a reading of 9 is how many times as great as the frequency corresponding to a reading of 3?  Choices:	A) 40	B) 50	C) 10^4	D) 10^5	E) 10^6

Solution: If Richter scale reading goes from X-1 to X it will be 10   if Richter scale reading goes from 3 to 4 it will be 10   if Richter scale reading goes from 4 to 5 it will be 10   if Richter scale reading goes from 5 to 6 it will be 10   Similarly if Richter scale reading goes from 6 to 7 it will be 10   and if Richter scale reading goes from 7 to 8 it will be 10   and if Richter scale reading goes from 8 to 9 it will be 10   so it will from 3 to 9 i.e 4,5,6,7,8,9 = 10*10*10*10*10*10 = 10^6   Answer is 10^6
Answer: E
In how many ways can 5 white and 2 black chess pieces be arranged in a row such that they occupy alternate places? Assume that the pieces are distinct.
Choose the correct choice from the following answers: A) 120 B) 60 C) 10 D) 240 E) 30

Solution: 5 white chess pieces can be arranged in 5! ways and 2 black pieces can be arranged in 2 ! ways.   W_W_W_W   Number of ways = 5!*2! = 120 * 2= 
120 * 2 = 240
240   Answer 240
Answer: D
When Jack picks olives for two hours at three times his regular speed, he picks 10 pounds of olives more than Mac working for five hours at 80% of his regular speed. Therefore, if Mac picks olives for one hour at double his regular speeds, and Jack picks olives for four hours at 85% of his regular speed, then	Choose the correct choice from the following answers
A) Jack picks double the amount of olives Mac picks  B) Mac picks 10 pounds more than Jack  C) Jack picks 10 pounds more than Mac  D) Mac picks 5 more pounds than Jack  E) Jack picks 5 more pounds than Mac

Solution: Let's say Jack's regular speed is J olives/hr and Mac's regular speed is M olives/hr   Given:   2*3J = 10 + 5*(4/5)M   3J = 5 + 2M   Question:if Mac picks olives for one hour at double his regular speeds, and Jack picks olives for four hours at 75% of his regular speed   Mac picks 2M and Jack picks   4*(3/4)= 
  4*(3/4) = 3
3J   They are asking you for the relation between 3J and 2M. You already know 3J= 5 + 2M   So Jack picks 5 pounds more olives than Mac.   Jack picks 5 more pounds than Mac
Answer: E
A, B and C have Rs.400 between them, A and C together have Rs.200 and B and C Rs.350. How much does C have? Choose the correct choice from the following answers:
A) A)150
B) B)140
C) C)130
D) D)120
E) E)110

Solution: 150+B+C = 400   150+C = 200   B+C = 350   --------------   150+B+2C = 550   150+B+C = 400   ----------------   C = 150   150nswer:150
Answer: A
Three positive integers a, b, and c are such that their average is 28 and a ≤ b ≤ c. If the median is (a + 13), what is the least possible value of c?	Choose the correct option:
A) 31
B) 32
C) 33
D) 34
E) 35

Solution: Solution   Given Data   3 positive integers   Average of a, b, and c = 28.   So, a+b+c3a+b+c3 = 84 or a + b + c = 84   a ≤ b ≤ c   Median = (a + 13)   Median of these 3 numbers a, b, and c is ‘b’ because a ≤ b ≤ c   Therefore, b = a + 13   Objective To find the least value of 'c'   Theoretically, the least value of c is when c = b.   Therefore, a + (a + 13) + (a + 13) = 84 (b and c are equal and b, the median, is a + 13)   Or 3a = 58 or a = 19.33   So, b = c = 19.33+ 13= 
19.33+ 13 = 32.33
32.33   However, we know that these numbers are all integers.   Therefore, a, b, and c cannot take these values.   So, the least value for c with this constraint is NOT likely to be when c= b   Let us increment c by 1. Let c = (b + 1)   In this scenario, a + (a + 13) + (a + 14) = 84   Or 3a = 57or a=19 The value of the numbers is an integer.   If a = 19, b = 32 and c = 33.   The least value for c that satisfies all these conditions is 33   33orrect answer is choice 33.
Answer: C
A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger? Choose the correct option
A) 35	B) 34	C) 36	D) 32	E) 31

Solution: Speed of train relative to jogger = 45 - 9= 
45 - 9 = 36
36 km/hr.= 36 * 5/18= 
36 * 5/18 = 10
10 m/sec.   Distance to be covered= 240 + 120= 
240 + 120 = 360
360 m.   Time taken= 360/10= 
360/10 = 36
36 sec.   Answer: 36
Answer: C
A store reduced the price of all items in the store by 8% on the first day and by another 10% on the second day. The price of items on the second day was what percent of the price before the first reduction took place? Choose the correct choice from the following choices.
A) 80.0  B) 80.9  C) 81.0  D) 81.1  E) 82.8

Solution: consider price of the all items as $100   after a initial reduction of 8% price becomes = 0.92 *100= 
0.92 *100 = 92
$ 92   after the final reduction of 10% price becomes= 0.9* 92= 
0.9* 92 = 82.8
$ 82.8   price of all items on second day is 82.8% of price on first day   correct answer option 82.8
Answer: E
Noelle walks from point A to point B at an average speed of 5 kilometers per hour. At what speed, in kilometers per hour, must Noelle walk from point B to point A so that her average speed for the entire trip is 8 kilometers per hour?  Choose the correct choice:
A) 6.75
B) 7
C) 7.25
D) 7.5
E) 20

Solution: Let's suppose that speed while returning was xkm/h   Since the distance is same, we can apply the formula of avg speed   Avg speed= 2S1S2/S1+S2   8= 2*5*x/5+x   x= 20   20 is the answer
Answer: E
What will come in place of the x in the following Number series? 5,28,57,88,125	Choose the correct answer:
A) 156  B) 159  C) 166  D) 170  E) 180

Solution: 28=23+5   57=29+28   88=31+57   125=37+88   166=41+125= 
41+125 = 166
166   166
Answer: C
JAMES school has 2000 GIRLS and 5000 BOYS. What is the percentage increase from GIRLS to total attendance and BOYS to total attendance? Choose the correct choice
A) 40%
B) 10%
C) .4%
D) 50%
E) 12%

Solution: Ratio of GIRLS to total attendance (2/7)   Ratio of BOYS to total attendance (5/7)   percentage increase is (difference/initial quantity)*100   (2/7)/(5/7 )* 100= 
(2/7)/(5/7 )* 100 = 40
40%   Correct answer is 40%
Answer: A
A train passes a platform in 22 seconds. The same train passes a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, The length of the platform is	Pick: A) 40 B) 50 C) 60 D) 30 E) 20

Solution: Speed of the train = 54 km/hr = (54×10)/36 m/s = 15 m/s   Length of the train = speed × time taken to cross the man = 15×20 = 300 m   Let the length of the platform = L   Time taken to cross the platform = (300+L)/15   => (300+L)/15 = 12   => 300+L = 15×22 = 330   => L =330-300= 
330-300 = 30
30 meter   Answer is 30.
Answer: D
A box contains twelve bulbs out of which seven are defective. If seven bulbs are chosen at random, find the probability that all the four bulbs are defective?	Select the correct option
A) 1/127
B) 1/792
C) 1/789
D) 1/689
E) 1/126

Solution: Out of twelve, five are good and seven are defective. Required probability   = 7C7/12C7   = 1/792   Answer: 1/792
Answer: B
The remainder obtained when a prime number greater than 3 is divided by 3 is  Choose the correct choice from the following answers
A) a) 1 or 3	B) b) 2 or 4	C) c) 3 or 5	D) d) 4 or 5	E) e) 5

Solution: The easiest way to answer this question is probably to pick numbers. Use the next two prime numbers greater than 3, i.e. 7 and 5:   7/3 = 1 + remainder of 4   5/3 = 1 + remainder of 2   This is already sufficient to see that answer choice b) is correct.   b) 2 or 4
Answer: B
The number of livestock in a farm at the beginning of year 2015 was 100,000. During the year, the number increased by p%. During the next year 2016, there was a famine and the number decreased by q%. A census at the end of year 2016 revealed that the number of livestock in the farm was 100,000. Which of the following expressions is correct?	Select the correct option: A) q > p B) p > q C) p = q D) With the exception of 1 instance, p will be equal to q E) There is no relation between p and q

Solution: Number plugging in will be best strategy for this question.   Let p = 5%,   Per the question 100000(1.05)(1-q/100) = 100000 ---> q = 4.7%. Thus p > q and hence p > q is the correct answer.
Answer: B
The average of 3 consecutive odd numbers is 30. What is the difference between the highest and lowest numbers?  Choose the most appropriate option
A) 5
B) 6
C) 8
D) 4
E) 3

Solution: Let the numbers be x, x+2, x+4   Then, (x+ x+2+ x+4)/3 = 30   x = 28   Required answer is = 28+4-28= 
28+4-28 = 4
4   Answer is 4
Answer: D
x and y are positive integers of Q. If 1/x + 1/y < 2, which of the following must be true?  Choose the correct choice from the following choices
A) x + y > 4
B) xy>1
C) x/y + y/x < 1
D) (x - y)^2 > 0
E) None of the above

Solution: Answer is B:   1/X + 1/Y < 2   The maximum value of 1/X is 1 because if X equals any other number greater than one it will be a fraction. The same is true with 1/Y.   So 1/X and 1/Y will always be less than 2 as long as both X and Y are not both equal to one at the same time.   Another way of putting it is:   X*Y>1.xy>1
Answer: B
Which one of the following is a prime number?	Choose the correct answer.
A) 55 B) 2 C) 74 D) 25 E) 21

Solution: 2 is divisible by 1 and itself So, it is a prime number.   2
Answer: B
If p^2 – 13p + 40 = a, and p is a positive integer between 1 and 10, inclusive, what is the probability that a < 0?	Pick:
A) 1/10
B) 1/5
C) 2/5
D) 3/5
E) 3/10

Solution: p2 – 13p + 40 = a   so (p – 8)(p – 5) = a   For q to be negative, the expressions (p – 8) and (p – 5) must have opposite signs. Which integers on the number line will yield opposite signs for the expressions (p – 8) and (p – 5)? Those integers in the range 5 < p < 8 (notice 5 and 8 are not included because they would both yield a value of zero and zero is a nonnegative integer). That means that there are only two integer values for p, 6 and 7, that would yield a negative q. With a total of 10 possible p values, only 2 yield a negative q, so the probability is 2/10 or 1/5.   The correct answer is 1/5.
Answer: B
What is the remainder when 47*50 is divided by 8?	Choose the correct choice from the following.
A) 1	B) 3	C) 13	D) 5	E) 14

Solution: we can make use of the rule :   Remainder of { (a * b)/n}} = Remainder of (a/n) * Remainder of (b/n)   Here   Remainder of { 47 * 50)/8}} = Remainder of (47/8) * Remainder of (50/8) = 7 * 2= 
7 * 2 = 14
14   Answer :14
Answer: E
There are 6 ball in bag out of them 4 green and 2 red, randomly picked two boll one by one so find the probabilty atleast one picked boll will be red?  Choose the correct answer
A) 1/5
B) 2/5
C) 3/5
D) 4/5
E) 6/5

Solution: probality of selecting 1 red + probality of selecting 2 red =((2c1*4c1)/6c2)+((2c2)/(6c2))=3/5   ANSWER:3/5
Answer: C
A merchant has 1000 kg of sugar part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The Quantity sold at 18% profit is
Pick one
A) 400 kg	B) 560 kg	C) 600 kg	D) 640 kg	E) None

Solution: Solution   ratio of 1st and 2nd parts = 4 : 6 = 2 : 3.   Quantity of 2nd kind = (3/5 x 1000)kg = 600 kg.   Answer 600 kg
Answer: C
A rectangular-shaped carpet that measures x feet by y feet is priced at $29. What is the cost of the carpet, in dollars per square yard? (1 square yard = 9 square feet)	Pick one:  A) 180xy  B) 261/(xy)  C) 20xy  D) 20xy/9  E) xy/180

Solution: The area of the carpet in feet is xy.   The area in square yards is xy / 9.   The price per square yard is 29 / (xy/9) = 261/(xy).   The answer is 261/(xy).
Answer: B
Michael cashed a check for $1,170 and received only $10 and $50 bills in return. During the course of a day, he used 15 bills and then lost the rest of the money. If the number of $10 bills used was either one more or one less than the number of $50 bills used, what is the minimum possible amount of money that was lost?
Choose the correct choice from the following choices:  A) $830  B) $800  C) $770  D) $730  E) $700

Solution: 1. 15 bills spent   2. Number of $10 bills is one more or one less than number of $50 bills.   So, 2 choices   1. 7*10 + 8*50 = $470   2. 8*10 + 7*50 = $430   Least money lost implies most money spent. i.e $470   Therefore, lost money = 1170 - 470= 
1170 - 470 = 700
700.   Answer $700
Answer: E