MU-NLPC/Calc-aqua_rat huggingface dataset:
How many of the following numbers are divisible by 132?
264, 396, 462, 792, 968, 2178, 5280, 6336 Choose the correct option:  A) 4  B) 5  C) 6  D) 7  E) 8

Solution: A number is divisible by 132, if it is divisible by each one of 11, 3 and 4.   Clearly, 968 is not divisible by 3. None of 462 and 2178 is divisible by 4.   Each one of remaining 5 is divisible by each one of 11, 3 and 4 and therefore, by 132.   ANSWER:5
Answer: B
A factory produced 2300 TV sets in its first year of production. 4500 sets were produced in its second year and 500 more sets were produced in its third year than in its second year. How many TV sets were produced in three years? Select:
A) 9,800  B) 11,800  C) 10,800  D) 17,800  E) 20,800

Solution: 500 TV sets were produced in the third year than in the second year. The number of sets produced in the third year is equal to   4,500 + 500 = 5,000   The number of TV sets produced in three years is equal to sum of the number of TV sets produced in each year   2,300 + 4,500 + 5,000 = 11,800   correct answer 11,800
Answer: B
A & B started a partnership business. A's investment was thrice the investment of B and the period of his investment was two times the period of investments of B. If B received Rs 4500 as profit , what is their total profit?  Pick one:
A) 28000 B) 30000 C) 31500 D) 34000 E) None of these

Solution: Explanation :   Suppose B's investment = x. Then A's investment= 3x   Suppose Bs period of investment = y, then A's period of investment = 2y   A : B = 3x * 2y : xy   = 6 : 1   Total profit * 1/7 3  * 2= 
3  * 2 = 6
6 : 1   Total profit * 1/7= 4500   => Total profit = 4500*7= 
4500*7 = 31_500
31500. Answer : Option 31500
Answer: C
If the sum of a number and its square is 240, what is the number?
Select the correct option: A) 15 B) 26 C) 28 D) 91 E) none of these

Solution: Let the number be x. Then,   x + x2 = 240   (x + 16)(x - 15) = 0   x = 15   15NSWER:15
Answer: A
The amount of principal Rs.4000 at compound interest at the ratio of 10% p.a. for 3 years is Choose the correct option: A) Rs.4325 B) Rs.5324 C) Rs.3425 D) Rs.5342 E) Rs.5442

Solution: p== 4000   r== 10   y== 3   so,, 1st intrest 4000+400==4400   2nd 4400+440== 4840   3rd year 4840+484==5324   ANSWER:Rs.5324
Answer: B
In a basketball game, Dhoni scored 30 points more than Dravid, but only half as many points as Shewag. If the three players scored a combined total of 150 points, how many points did Dhoni score?	Choose one:
A) 50
B) 52
C) 35
D) 40
E) 45

Solution: Let Dravid scored point = x   Then Dhoni Scored = x+30   Shewag Scored = 2*(x+30) = 2x+60   As given, x+x+30+2x+60 = 150 points   4x+90 = 150   x = 150-90/4 = 15   So Dhoni Scored = x +30 i.e) 15+30 = 45   Answer : 45
Answer: E
Let A be a natural number consisting only 1. B is another natural number which is equal to quotient when A is divided by 13. C is yet another natural number equal to the quotient when B is divided by 7. Find B-C.
Select the correct option:	A) 4586	B) 5648	C) 6485	D) 7326	E) 8564

Solution: let A=111111 when which is divide by 13 we get quotient 8547 and remainder=0 {111111 is 1st no. which is divisible by 13}.   this quotient is equal to i.e B=8547   and c equal to quotient of B when it is divided by 7   then we get C=1221   now B-C=8547-1221= 
8547-1221 = 7_326
7326.   ANSWER:7326
Answer: D
For any 7 given numbers, which of the following is always equivalent to adding the 3 numbers together and then dividing the sum by 3?
I. Ordering the 3 numbers numerically, from highest to lowest, and then selecting the middle number.
II. Dividing each of the numbers by 3 and then adding the results together.
III. Multiplying each number by 6, adding the resulting products together, and then dividing the sum by 9. Choose the most appropriate option
A) I only	B) II only	C) I and II only	D) II and III only	E) None of the above

Solution: Let the 3 numbers be x, y and z.   Question: Which of the following is equivalent to (x + y + z)/3   I. Ordering the 3 numbers numerically, from highest to lowest, and then selecting the middle number. --> Not always equivalent Eg: 111 and 141   II. Dividing each of the numbers by 3 and then adding the results together. --> x/3 + y/3 + z/3 = (x + y + z)/3 --> Equivalent   III. Multiplying each number by 6, adding the resulting products together, and then dividing the sum by 9. --> (6x + 6y + 6z)/9 = 2(x + y + z)/3 --> Not equivalent   Answer: I and II only
Answer: C
The unit digit in the product 4556*3432*4581*2784 is?  Answers
A) 8
B) 1
C) 2
D) 3
E) 4

Solution: Unit digit in the given product = unit digit in 6*2*1*4 = 8   8nswer is 8
Answer: A
The sale price sarees listed for Rs.480 after successive discount is 15% and 25% is?	Choose the correct choice from the following answers:
A) 298
B) 237
C) 306
D) 876
E) 291

Solution: 480*(85/100)*(75/100)= 
480*(85/100)*(75/100) = 306
306   Answer: 306
Answer: C
A thief is spotted by a policeman from a distance of 100 meters. When the policeman starts the chase, the thief also starts running. If the speed of the thief be 8km/hr and that of the policeman 10 km/hr, how far the thief will have run before he is overtaken?  Select:
A) 350m
B) 200m
C) 400m
D) 500m
E) None of them

Solution: Relative speed of the policeman = (10-8) km/hr =2 km/hr.   Time taken by police man to cover   (100m/1000) x 1/2 hr = 1/20 hr.   In 1/20 hrs, the thief covers a distance of 8 x 1/20 km = 2/5 km = 400 m   Answer is 400m.
Answer: C
A pharmaceutical company received $3 million in royalties on the first $20 million in sales of and then $9 million in royalties on the next $106 million in sales. By approximately what percentage 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 choice from the following options
A) 8% B) 47% C) 45% D) 52% E) 56%

Solution: (9/106)/(3/20) = 30/54 = 56,6% it means that 9/106 represents only 56,6%. Therefore a decrease of 47%.   Answer 47%
Answer: B
The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 45 kmph, find the speed of the stream?  Choose the correct choice:
A) 12 kmph
B) 13 kmph
C) 14 kmph
D) 15 kmph
E) 16 kmph

Solution: The ratio of the times taken is 2:1.   The ratio of the speed of the boat in still water to the speed of the stream = (2+1)/(2-1)= 
(2+1)/(2-1) = 3
3/1= 
3/1 = 3
3:1   Speed of the stream= 45/3= 
45/3 = 15
15 kmph   ANSWER:15 kmph
Answer: D
A, B and C rents a pasture for Rs.870. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should C pay?  Choose the correct choice from the following:
A) 270
B) 279
C) 276
D) 271
E) 272

Solution: 12*8 :16*9 = 18*6   8: 12: 9   9/29 * 870= 
9/29 * 870 = 270
270   270nswer: 270
Answer: A
A rod of length 30 feet is broken into two pieces. The longer rod is 12 feet longer than the shorter one. What is the length of the shorter rod?	Choose the correct choice: A) 15 B) 12 C) 8 D) 9 E) 16

Solution: Since, 30 is the total length. Smaller is any one from answers.   Try Back solving from Middle answer, i.e. 8. 8+(8+12) = 28 < 30   Hence, Select next bigger no. : 9 +(9+12)= 
9 +(9+12) = 30
30. So, 9 is the answer   Answer is 9
Answer: D
Calculate how long it will take a swimmer to swim a distance of 7km against the current of a river which flows at 2.5km/hr, given that he can swim in still water at 4.4km/h
Pick one.
A) 6.67 B) 1.67 C) 2.67 D) 3.67 E) 4.67

Solution: swim in still water at = 4.4   speed of river= 2.5   US = 4.4 - 2.5= 
4.4 - 2.5 = 1.9
1.9   3.67istance= 7   T = 7/1.9 = 3.67   Answer: 3.67
Answer: D
How many 7 in between 1 to 80?  Select
A) 18	B) 20	C) 22	D) 23	E) 24

Solution: 7,17,27,37,47,57,67,   70,71,72,73,74,75,76,77(two 7's),78,79   18 7's between 1 to 80   18NSWER:18
Answer: A
Working alone at its constant rate, machine A produces x boxes in 10 minutes and working alone at its constant rate, machine B produces 2x boxes in 5 minutes. How many minutes does it take machines A and B, working simultaneously at their respective constant rates, to produce 6x boxes?
Choose the correct option:
A) 3 minutes
B) 4 minutes
C) 5 minutes
D) 6 minutes
E) 12 minutes

Solution: Rate = Work / Time   Given Rate of Machine A = X / 10 min   Machine B Produces 2x boxes in 5 min hence , Machine B produces 4x boxes in 10 min .   Rate of Machine B = 4x / 10   we need tofind the combined time that machines A and B, working simultaneouslytakeat their respective constant rates   let's first find the combined Rate of Machine A and B   Rate of Machine A = X / 10 min + Rate of Machine B = 4x / 10 = 5X/10   Now combine Time = combine work needs to be done / Combine Rate = 6x/5x * 10 = 12 Min   Ans: 12 minutes6 /5  * 10= 
6 /5  * 10 = 12
12 Min   Ans: 12 minutes
Answer: E
Party of 5 women and 5 men.
A committee consists of 3 women and 2 men
The total number of ways to form this committee.  Select the correct option
A) 80 B) 90 C) 100 D) 110 E) 120

Solution: 51003*51002=100   ANSWER:100
Answer: C
A factory employs skilled workers, unskilled workers and clerks in the proportion 8 : 5 : 1 and the wage of a skilled worker, an unskilled worker and a clerk are in the ratio 5 : 2 : 3. When 20 unskilled workers are employed, the total daily wages of all amount to Rs. 3180. Find the daily wages paid to each category of employees.  Select the correct option:	A) Rs. 2100, Rs. 800, Rs. 280.	B) Rs. 2400, Rs. 480, Rs. 300.	C) Rs. 2400, Rs. 600, Rs. 180.	D) Rs. 2200, Rs. 560, Rs. 420	E) None of these

Solution: Skilled workers, unskilled workers and clerks are in the proportion 8 : 5 : 1   Given 20 unskilled workers, So 5/14 x K = 20, K = 56,   Therefore there are 32 skilled workers, 20 unskilled workers and 4 clerks   Ratio of amount of 32 skilled workers, 20 unskilled workers and 4 clerks   = 5 x 32 : 2 x 20 : 3 x 4   = 160 : 40 : 12 or 40 : 10 : 3   Now, divide Rs 3,180 in the ratio 40 : 10 : 3   We get, Rs. 2400, Rs. 600, Rs. 180.   ANSWER:Rs. 2400, Rs. 600, Rs. 180.
Answer: C
A and B are mixed together in the ratio 9 : 11. What is the weight of mixture, if 26.1 kg of A has been consumed in it?	Choose the correct choice from the following answers:
A) 56	B) 45	C) 58.2	D) 58	E) 46

Solution: Explanation :   For 9 kg A, mixture = (9 + 11) kg.   For 26.1 kg A, mixture = ((20/9) x 26.1)kg = 58 kg.   Answer : 58
Answer: D
A batsman scored 120 runs whichincluded 3 boundaries and 8sixes. What % of his total score did he make by running between the wickets? Choose the correct choice from the following answers:
A) 40%
B) 50%
C) 65%
D) 68%
E) 70%

Solution: Number of runs made by running = 110 - (3 x 4 + 8 x 6)   = 120 - (60)= 
120 - (60) = 60
60   Now, we need to calculate 60 is what percent of 120.=> 60/120 * 100= 
60/120 * 100 = 50
50%   50%
Answer: B
In the city of San Durango, 60 people own cats, dogs, or rabbits. If 36 people owned cats, 40 owned dogs, 10 owned rabbits, and 12 owned exactly two of the three types of pet, how many people owned all three?	Answers
A) 2
B) 4
C) 7
D) 12
E) 32

Solution: Total = 7 + D + R - (7D + DR + 7R) - 27DR   60 = 36 + 40 + 10 - (12) - 2x   x = 7   So, answer will be 7
Answer: C
Find the missing number of the following series?
16 8 24 12 36 18 54 ? 81  Answers:
A) 22
B) 22
C) 86
D) 27
E) 61

Solution: 27   27   16/2 = 9   8*3= 
8*3 = 24
24   24/2= 
24/2 = 12
12   12*3= 
12*3 = 36
36   36/2= 
36/2 = 18
18   18*3= 
18*3 = 54
54   54/2= 
54/2 = 27
27   27*3= 
27*3 = 81
81
Answer: D
A salt manufacturing company produced a total of 5000 tonnes of salt in January of a particular year. Starting from February its production increased by 100 tonnes every month over the previous months until the end of the year. Find its average monthly production for that year?
Choose the correct answer.
A) 5529 B) 5529 C) 5550 D) 5528 E) 5122

Solution: Total production of salt by the company in that year = 5000 + 5100 + 5200 + .... + 6100   = 66600.   Average monthly production of salt for that year = 66600/12= 
66600/12 = 5_550
5550.   Answer: 5550
Answer: C
A license plate in the country Kerrania consists of four digits followed by two letters. The letters A, B, and C are used only by government vehicles while the letters D through Z are used by non-government vehicles. Kerrania's intelligence agency has recently captured a message from the country Gonzalia indicating that an electronic transmitter has been installed in a Kerrania government vehicle with a license plate starting with 79. If it takes the police 18 minutes to inspect each vehicle, what is the probability that the police will find the transmitter within three hours? Choose the correct choice from the following answers:  A) 18/79  B) 1/6  C) 1/25  D) 1/50  E) 1/90

Solution: If it takes 18 minutes to inspect one vehicle, the # of vehicles that can be inspected in 3 hours (180 minutes) = 180/18= 
180/18 = 10
10. Hence, for calculating the probability that the police will find the transmitter within three hours, the favorable cases= 10. Now, we need to figure out the total # of cases.   The total # of cases = Total # of such cars possible. The details given about the car is that it starts with 79, which leaves 2 more digits, both of which can be filled by all 10 numbers (0-9). In addition, we have 3 letters, each of which can be filled by any from the set {A,B,C}. Hence the total # of such cars possible = 10*10*3*3= 
10*10*3*3 = 900
900   So, the probability that the police will find the transmitter within three hours= 10/900 = 1/90. Option 1/90
Answer: E
Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is? Choose the correct answer:  A) 4:6  B) 4:3  C) 4:9  D) 4:7  E) 4:4

Solution: Let us name the trains A and B.   Then, (A's speed) : (4:3's speed)   = √b : √a = √16 : √9 = 4:3   Answer:4:3
Answer: B
In 1990 a total of s earthquakes occurred worldwide, some but not all of which occurred in Asia. If t o f these earthquakes occurred in Asia, which of the following represents the ratio of the number of earthquakes that occurred in Asia to the number that did NOT occur in Asia?	Choose the correct choice from the following answers:
A) s/t	B) t/s	C) t/(s-t)	D) s/(s-t)	E) 1- (t/s)

Solution: We're given a couple of facts to work with:   1) There were a total of s earthquakes   2) Of those earthquakes, t of them occurred in Asia   We're asked for the ratio of the number of earthquakes that occurred IN ASIA to the number of earthquakes that DID NOT occur in Asia.   Let's TEST VALUES   s = 5 total earthquakes   t = 2 occurred in Asia   Thus, there were 3 earthquakes that DID NOT occur in Asia....   The answer to the question is 2:3   We just need to plug in the values for s and t and find the match...   Answer A: s/t = 5/2 NOT a match   Answer B: t/s = 2/5 NOT a match   Answer t/(s-t): t/(s-t) = 2/(5-2) = 2/3 This IS a match   Answer D: s/(s-t) = 5/(5-2) = 5/3 NOT a match   Answer E: 1 - (t/s) = 1-2/5 = 3/5 NOT a match   t/(s-t)
Answer: C
If there are twice as many women as men in a group and an equal number of men and women do not own cars - a group that is 30% of the total. What fraction of the total is men who do not own cars?  Answers:
A) 3⁄20
B) 11⁄60
C) 3⁄10
D) 1⁄3
E) 11⁄20

Solution: Consider a group of 100 men and 200 women, a total of 300 people. 30% of them, which is 90, form a group of people who don't own a car.   Half of them are men, and the other half are women, more precisely 45.   It means that men who own a car represent 45/300 = 3/20 of the total.   3⁄20nswer 3⁄20
Answer: A
What will be the compound interest on a sum of Rs. 15000 after 3 years at the rate of 12% p.a.?  Select:
A) s.10123.22 B) s.5823.20 C) s.9123.20 D) s.7256.20 E) s.6073.92

Solution: Explanation:   Amount = [15000 * (1 + 12/100)3]   = 15000 * 28/25 * 28/25 * 28/25 = Rs. 35123.20   C.I. = (35123.20 - 15000) = Rs. 6073.92   Answer:s.6073.92
Answer: E
A train can travel 50% faster than a car. Both start from point A at the same time and reach point B at 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is?	Choices.
A) 176 km/hr  B) 189 km/hr  C) 175 km/hr  D) 197 km/hr  E) 109 km/hr

Solution: Let speed of the car be x km/hr.   Then, speed of the train = 150/100 x = 3/2 x km/hr.   75/x - 75/(3/2 x) = 125/(10 * 60)   75/x - 50/x = 5/24 = 120 km/hr.   Answer:175 km/hr
Answer: C
Apples are bought at 7 for Rs. 9/- and sold at 9 for Rs. 7/-. Find the gain or loss percentage?  Choose the correct choice from the following answers:
A) 36.59% Gain B) 36.59% Loss C) 39.506% Loss D) 39.506% Profit E) None of these

Solution: Explanation:   7 Apples -----> 9/-   9 Apples ----> 7/-   Note: In every time same in the cost price articles and selling price articles.   9(7 9) ==> 63 81 = 39.506% Lossost price   7 (9 7) ==> 63 49 = Selling price   Then, 32/81 × 100 = 3200/81 = 39.506% Loss   Answer: Option 39.506% Loss
Answer: C
What percent of 5 letter combinations that can be made from the letters of the word JERMONT and in which each letter can be used only once are the combinations in which the first letter is a vowel and the last letter is a consonant?
Choose the correct option:
A) 20%  B) 23.8%  C) 25%  D) 30.2%  E) 35%

Solution: a) noof combinations when all 5 letters are different = 7*6*5*4*3   b) noof combinations when first letter is vowel and last is consonant = 2c1*5c1*5*4*3   b/a = 5/21= 0.238   23.8%
Answer: B
A bookseller has two display windows. She plans to display 3 new fiction books in the left window, and 3 new non-fiction books in the right window. Assuming she can put the three fiction books in any order, and separately, the three non-fiction books in any order, how many total configurations will there be for the two display windows? Choose the most appropriate option:	A) 24	B) 72	C) 44	D) 36	E) 20

Solution: Two displays books could be arranged n! # of total arrangements are combinations multiplied together,   3!*3! =6*6= 
6*6 = 36
36   Answer is 36
Answer: D
A retailer bought a machine at a wholesale price of $90 and later on sold it after a 10% discount of the retail price. If the retailer made a profit equivalent to 20% of the whole price, what is the retail price w of the machine? Choose the correct answer:
A) 81
B) 100
C) 120
D) 135
E) 160

Solution: Since the wholesale price was $90 and the profit was 20% of the wholesale price ([.2][90] = $18), the retail price would have to be above $108, but not that much greater than that.   Let's start by TESTing Answer C: $120....   If.....   Retail Price w= $120   10% discount off = $120 - (.1)(120) = 120 - 12= 
120 - 12 = 108
108   20% profit on wholesale price= 90 + (.2)(90) = 90 + 18= 
90 + 18 = 108
108   These two numbers MAT120H, so this MUST be the answer!   Final Answer:   [Reveal]Spoiler:   120
Answer: C
A rope of which a calf is tied is increased from 9 m to 23 m, how much additional grassy ground shall it graze?	Choose the correct answer: A) 1218 B) 1212 C) 1408 D) 2707 E) 2591

Solution: π (232 – 92) =1408   Answer: 1408
Answer: C
A does a work in 10 days and B does the same work in 15 days. In how many days they together will do the same work?	Choices:  A) 1  B) 6  C) 7  D) 5  E) 43

Solution: A's 1 day work = 1/10; B's 1 day work = 1/15   (A + B)'s 1 day work = (1/10 + 1/15) = 1/6   So, both together will finish the work in 6 days.   Answer: 6
Answer: B
The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on atleast one ticket is  Pick one:
A) 0.4869	B) 0.5904	C) 0.6234	D) 0.5834	E) 0.2952

Solution: P(winning prize atleast on one ticket)   = 1 - P("Losing on all tickets")   = 1 - (0.8)4 = (1 + (0.8)2)(1 - (0.8)2)   = (1.64)(0.36) = 0.5904   ANSWER:0.5904
Answer: B
The difference between simple interest and compound interest on Rs.1200 for one year at 10% per annum reckoned half yearly is	Choose the correct choice from the following choices:
A) Rs.2.50 B) Rs.3 C) Rs.4 D) Rs.3.75 E) None

Solution: Solution   S.I	= Rs.(1200x10x1/100)   Rs.120.   C.I	=Rs[(1200x1+5/100)² -1200]   Rs.123.   Difference	= Rs.[123-120]   Rs. 3.   Answer Rs.3
Answer: B
a.	In a class of 11, the teacher shares some oranges to all the pupils following the below progressive pattern:
1, 2, 4, 7, 8, 10, 13, 14, 16, 19, ?
How many oranges will the 10th person get?	Choose the correct choice from the following choices:
A) 20	B) 18	C) 22	D) 24	E) 23

Solution: The sequence progresses +1, +2, +3 repeated; The 10th Person get 20 Oranges.   20ns 20 = 20
Answer: A
Goldenrod and No Hope are in a horse race with 5 contestants. How many different arrangements of finishes are there if No Hope always finishes before Goldenrod and if all of the horses finish the race?	Choose one:
A) 120 B) 60 C) 120 D) 24 E) 21

Solution: All 5 horses can finish the race in 5! way (assuming no tie).   If no tie is possible between No Hope and Goldenrod, then in half of these cases No Hope will be before Goldenrod and in half of these cases after (not necessarily right before or right after). How else? So, there are 5!/2=60 different arrangements of finishes where No Hope always finishes before Goldenrod.   Answer: 60.
Answer: B
When a certain number X is divided by 143, the remainder is 51. Which of the following numbers, if added to X, would result in a number divisible by 13?	Choose the correct choice from the following answers:
A) 7	B) 1	C) 34	D) 47	E) 55

Solution: Now X= 143q + 51 = 11*13*q + 51..so we have to make only 51 div by 13..   51 + 1= 
51 + 1 = 52
52 YES 1 to be added   ans 1
Answer: B
The age of the father 10 years ago was thrice the age of his son. Ten years hence, father’s age will be twice
that of his son. The ratio of their present ages is Choose the correct choice from the following options:	A) 5 : 2	B) 7 : 3	C) 9 : 2	D) 13 : 4	E) 1:2

Solution: let x be present age of father and y be present age of son   then   ten yrs before   x-10=3(y-10)------->i   ten yrs hence   x+10=2(y+10)------->ii   now   (i)-(ii)=x-10-x-10=3y-30-2y-20   =20=y-50   =30=Y   therefore x=70   Ratio   x:y   =7:3 answer : 7 : 3
Answer: B
Joshua and Jose work at an auto repair center with 5 other workers. For a survey on health care insurance, 2 of the 6 workers will be randomly chosen to be interviewed. What is the probability that Joshua and Jose will both be chosen?
Pick one:
A) 1/21
B) 1/12
C) 1/9
D) 1/6
E) 1/3

Solution: Two Methods   1) Probability of chosing Josh first = 1/7   Probability of chosing Jose second = 1/6   total = 1/42   Probability of chosing Jose first = 1/7   Probability of chosing Josh second = 1/6   Total = 1/42   Final = 1/42 + 1/42 = 1/21   1/21
Answer: A
Lisa is buying candy at the grocery store, and has $15 on hand. M&M's are $4.50, Snickers are $6.00, Reese's are $5.50, and Milky Way's are $7.25. Of the following, which of the 5 options could Lisa buy to have $4.00 leftover for a Coffee at Starbucks?A
Select the correct option
A) 2 M&M's (9) B) 2 Snickers (12) C) 2 Reese's (11) D) 2 Milky Way's (14.50) E) A & C

Solution: The correct answer must be the Sum of 2 correct candies with a remainder of at least $4   A=(2*4.50+4)= 
(2*4.50+4) = 13
$13 ($15 on hand is enough)   B=(2*6+4)= 
(2*6+4) = 16
$16 ($15 on hand is not enough)   C=(2*5.50+4)= 
(2*5.50+4) = 15
$15 (exactly enough on hand)   D=(2*7.25+4)= 
(2*7.25+4) = 18.5
$18.50 ($15 on hand is not enough)   A & C= A & C (Total of both candies and $4 coffee is $15 or less) *Correct Answer*   The Correct Answer is A & C
Answer: E
A person incurs 10% loss by selling a watch for $100. At what price should the watch be sold to earn 10% profit?  Choose the correct choice from the following answers
A) $100	B) $122	C) $150	D) $210	E) $170

Solution: Let the new selling price be $x   (100-loss%): (1st S.P.) = (100+gain%):(2nd S.P.)   (100-10)/100 = (100+10)/x   x = 110*100/90 = 122 approximately   Answer is $122
Answer: B